TSTP Solution File: SWV419-1.020 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV419-1.020 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:11:46 EDT 2022
% Result : Unsatisfiable 77.40s 49.66s
% Output : Proof 81.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV419-1.020 : TPTP v8.1.0. Released v3.5.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Sep 4 03:13:32 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.32 Usage: tptp [options] [-file:]file
% 0.12/0.32 -h, -? prints this message.
% 0.12/0.32 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.32 -m, -model generate model.
% 0.12/0.32 -p, -proof generate proof.
% 0.12/0.32 -c, -core generate unsat core of named formulas.
% 0.12/0.32 -st, -statistics display statistics.
% 0.12/0.32 -t:timeout set timeout (in second).
% 0.12/0.32 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.32 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.32 -<param>:<value> configuration parameter and value.
% 0.12/0.32 -o:<output-file> file to place output in.
% 77.40/49.66 % SZS status Unsatisfiable
% 77.40/49.66 % SZS output start Proof
% 77.40/49.66 tff(m_c_h_element_v_out_type, type, (
% 77.40/49.66 m_c_h_element_v_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s6_type, type, (
% 77.40/49.66 s6: $i)).
% 77.40/49.66 tff(c_h_type, type, (
% 77.40/49.66 c_h: $i)).
% 77.40/49.66 tff(c_e_h_3_type, type, (
% 77.40/49.66 c_e_h_3: $i)).
% 77.40/49.66 tff(m_or_h_gate_v_out_type, type, (
% 77.40/49.66 m_or_h_gate_v_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_g_type, type, (
% 77.40/49.66 c_g: $i)).
% 77.40/49.66 tff(s3_type, type, (
% 77.40/49.66 s3: $i)).
% 77.40/49.66 tff(s7_type, type, (
% 77.40/49.66 s7: $i)).
% 77.40/49.66 tff(m_and_h_gate_v_in1_type, type, (
% 77.40/49.66 m_and_h_gate_v_in1: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_i_type, type, (
% 77.40/49.66 c_i: $i)).
% 77.40/49.66 tff(node20_type, type, (
% 77.40/49.66 node20: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_and_h_gate_v_out_type, type, (
% 77.40/49.66 m_and_h_gate_v_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_or_h_gate_v_in1_type, type, (
% 77.40/49.66 m_or_h_gate_v_in1: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_c_type, type, (
% 77.40/49.66 c_c: $i)).
% 77.40/49.66 tff(s4_type, type, (
% 77.40/49.66 s4: $i)).
% 77.40/49.66 tff(m_mutex_h_half_v_out_type, type, (
% 77.40/49.66 m_mutex_h_half_v_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_a_type, type, (
% 77.40/49.66 c_a: $i)).
% 77.40/49.66 tff(m_mutex_h_half_v_other_h_out_type, type, (
% 77.40/49.66 m_mutex_h_half_v_other_h_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_b_type, type, (
% 77.40/49.66 c_b: $i)).
% 77.40/49.66 tff(c_d_type, type, (
% 77.40/49.66 c_d: $i)).
% 77.40/49.66 tff(s8_type, type, (
% 77.40/49.66 s8: $i)).
% 77.40/49.66 tff(m_c_h_element_v_in1_type, type, (
% 77.40/49.66 m_c_h_element_v_in1: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_f_type, type, (
% 77.40/49.66 c_f: $i)).
% 77.40/49.66 tff(s9_type, type, (
% 77.40/49.66 s9: $i)).
% 77.40/49.66 tff(m_and_h_gate_h_init_v_in1_type, type, (
% 77.40/49.66 m_and_h_gate_h_init_v_in1: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_m_type, type, (
% 77.40/49.66 c_m: $i)).
% 77.40/49.66 tff(m_and_h_gate_h_init_v_out_type, type, (
% 77.40/49.66 m_and_h_gate_h_init_v_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s10_type, type, (
% 77.40/49.66 s10: $i)).
% 77.40/49.66 tff(m_and_h_gate_h_init_v_in2_type, type, (
% 77.40/49.66 m_and_h_gate_h_init_v_in2: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_n_type, type, (
% 77.40/49.66 c_n: $i)).
% 77.40/49.66 tff(node9_type, type, (
% 77.40/49.66 node9: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s11_type, type, (
% 77.40/49.66 s11: $i)).
% 77.40/49.66 tff(m_and_h_gate_v_in2_type, type, (
% 77.40/49.66 m_and_h_gate_v_in2: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_q_type, type, (
% 77.40/49.66 c_q: $i)).
% 77.40/49.66 tff(s14_type, type, (
% 77.40/49.66 s14: $i)).
% 77.40/49.66 tff(c_e_type, type, (
% 77.40/49.66 c_e: $i)).
% 77.40/49.66 tff(c_e_h_1_type, type, (
% 77.40/49.66 c_e_h_1: $i)).
% 77.40/49.66 tff(s13_type, type, (
% 77.40/49.66 s13: $i)).
% 77.40/49.66 tff(m_c_h_element_v_in2_type, type, (
% 77.40/49.66 m_c_h_element_v_in2: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_j_type, type, (
% 77.40/49.66 c_j: $i)).
% 77.40/49.66 tff(m_or_h_gate_v_in2_type, type, (
% 77.40/49.66 m_or_h_gate_v_in2: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_cell_v_ack_type, type, (
% 77.40/49.66 m_cell_v_ack: ( $i * $i ) > $o)).
% 77.40/49.66 tff(s5_type, type, (
% 77.40/49.66 s5: $i)).
% 77.40/49.66 tff(node21_type, type, (
% 77.40/49.66 node21: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s2_type, type, (
% 77.40/49.66 s2: $i)).
% 77.40/49.66 tff(node11_type, type, (
% 77.40/49.66 node11: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s1_type, type, (
% 77.40/49.66 s1: $i)).
% 77.40/49.66 tff(node10_type, type, (
% 77.40/49.66 node10: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s0_type, type, (
% 77.40/49.66 s0: $i)).
% 77.40/49.66 tff(m_and_h_gate_h_init_v_init_h_out_type, type, (
% 77.40/49.66 m_and_h_gate_h_init_v_init_h_out: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_cell_v_token_type, type, (
% 77.40/49.66 m_cell_v_token: ( $i * $i ) > $o)).
% 77.40/49.66 tff(trans_type, type, (
% 77.40/49.66 trans: ( $i * $i ) > $o)).
% 77.40/49.66 tff(succ_type, type, (
% 77.40/49.66 succ: ( $i * $i ) > $o)).
% 77.40/49.66 tff(node22_type, type, (
% 77.40/49.66 node22: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node15_type, type, (
% 77.40/49.66 node15: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node16_type, type, (
% 77.40/49.66 node16: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node17_type, type, (
% 77.40/49.66 node17: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node18_type, type, (
% 77.40/49.66 node18: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node19_type, type, (
% 77.40/49.66 node19: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node14_type, type, (
% 77.40/49.66 node14: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node12_type, type, (
% 77.40/49.66 node12: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node13_type, type, (
% 77.40/49.66 node13: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_mutex_h_half_v_inp_type, type, (
% 77.40/49.66 m_mutex_h_half_v_inp: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_cell_v_req_type, type, (
% 77.40/49.66 m_cell_v_req: ( $i * $i ) > $o)).
% 77.40/49.66 tff(c_p_type, type, (
% 77.40/49.66 c_p: $i)).
% 77.40/49.66 tff(node1_type, type, (
% 77.40/49.66 node1: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_cell_v_left_type, type, (
% 77.40/49.66 m_cell_v_left: ( $i * $i ) > $o)).
% 77.40/49.66 tff(c_k_type, type, (
% 77.40/49.66 c_k: $i)).
% 77.40/49.66 tff(c_e_h_2_type, type, (
% 77.40/49.66 c_e_h_2: $i)).
% 77.40/49.66 tff(node3_type, type, (
% 77.40/49.66 node3: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_l_type, type, (
% 77.40/49.66 c_l: $i)).
% 77.40/49.66 tff(node5_type, type, (
% 77.40/49.66 node5: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node6_type, type, (
% 77.40/49.66 node6: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_user_v_req_type, type, (
% 77.40/49.66 m_user_v_req: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_u_type, type, (
% 77.40/49.66 c_u: $i)).
% 77.40/49.66 tff(node4_type, type, (
% 77.40/49.66 node4: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node2_type, type, (
% 77.40/49.66 node2: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(node7_type, type, (
% 77.40/49.66 node7: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(m_user_v_ack_type, type, (
% 77.40/49.66 m_user_v_ack: ( $i * $i * $i ) > $o)).
% 77.40/49.66 tff(c_r_type, type, (
% 77.40/49.66 c_r: $i)).
% 77.40/49.66 tff(node8_type, type, (
% 77.40/49.66 node8: ( $i * $i * $i * $i ) > $o)).
% 77.40/49.66 tff(s12_type, type, (
% 77.40/49.66 s12: $i)).
% 77.40/49.66 tff(s16_type, type, (
% 77.40/49.66 s16: $i)).
% 77.40/49.66 tff(node26_type, type, (
% 77.40/49.66 node26: $i > $o)).
% 77.40/49.66 tff(node24_type, type, (
% 77.40/49.66 node24: $i > $o)).
% 77.40/49.66 tff(node25_type, type, (
% 77.40/49.66 node25: $i > $o)).
% 77.40/49.66 tff(node23_type, type, (
% 77.40/49.66 node23: $i > $o)).
% 77.40/49.66 tff(until27_type, type, (
% 77.40/49.66 until27: $i > $o)).
% 77.40/49.66 tff(xuntil28_type, type, (
% 77.40/49.66 xuntil28: $i > $o)).
% 77.40/49.66 tff(s15_type, type, (
% 77.40/49.66 s15: $i)).
% 77.40/49.66 tff(s17_type, type, (
% 77.40/49.66 s17: $i)).
% 77.40/49.66 tff(s18_type, type, (
% 77.40/49.66 s18: $i)).
% 77.40/49.66 tff(s19_type, type, (
% 77.40/49.66 s19: $i)).
% 77.40/49.66 tff(until2p29_type, type, (
% 77.40/49.66 until2p29: $i > $o)).
% 77.40/49.66 tff(xuntil2p30_type, type, (
% 77.40/49.66 xuntil2p30: $i > $o)).
% 77.40/49.66 tff(last_type, type, (
% 77.40/49.66 last: $i > $o)).
% 77.40/49.66 tff(loop_type, type, (
% 77.40/49.66 loop: $o)).
% 77.40/49.66 tff(1,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s6)), introduced(assumption)).
% 77.40/49.66 tff(2,plain,
% 77.40/49.66 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X)) <=> ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X)))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(3,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[2])).
% 77.40/49.66 tff(4,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(5,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_36')).
% 77.40/49.66 tff(6,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[5, 4])).
% 77.40/49.66 tff(7,plain,(
% 77.40/49.66 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))),
% 77.40/49.66 inference(skolemize,[status(sab)],[6])).
% 77.40/49.66 tff(8,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[7, 3])).
% 77.40/49.66 tff(9,plain,
% 77.40/49.66 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s6))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(10,plain,
% 77.40/49.66 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s6))),
% 77.40/49.66 inference(quant_inst,[status(thm)],[])).
% 77.40/49.66 tff(11,plain,
% 77.40/49.66 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s6)),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[10, 9])).
% 77.40/49.66 tff(12,plain,
% 77.40/49.66 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 77.40/49.66 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 77.40/49.66 tff(13,plain,
% 77.40/49.66 (^[I0: $i, X: $i, I1: $i] : refl(((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X)) <=> ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X)))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(14,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[13])).
% 77.40/49.66 tff(15,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(16,plain,
% 77.40/49.66 (^[I0: $i, X: $i, I1: $i] : rewrite((m_and_h_gate_v_in1(I0, I1, X) | (~node20(I0, I1, X))) <=> ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X)))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(17,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_in1(I0, I1, X) | (~node20(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[16])).
% 77.40/49.66 tff(18,axiom,(![I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_in1(I0, I1, X) | (~node20(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_2')).
% 77.40/49.66 tff(19,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[18, 17])).
% 77.40/49.66 tff(20,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[19, 15])).
% 77.40/49.66 tff(21,plain,(
% 77.40/49.66 ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(skolemize,[status(sab)],[20])).
% 77.40/49.66 tff(22,plain,
% 77.40/49.66 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[21, 14])).
% 77.40/49.66 tff(23,plain,
% 77.40/49.66 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s6))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(24,plain,
% 77.40/49.66 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s6))),
% 77.40/49.66 inference(quant_inst,[status(thm)],[])).
% 77.40/49.66 tff(25,plain,
% 77.40/49.66 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[24, 23])).
% 77.40/49.66 tff(26,plain,
% 77.40/49.66 (~node20(c_e_h_3, c_i, s6)),
% 77.40/49.66 inference(unit_resolution,[status(thm)],[25, 22, 12])).
% 77.40/49.66 tff(27,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s3)), introduced(assumption)).
% 77.40/49.66 tff(28,assumption,(node21(c_e_h_3, c_q, s2, s3)), introduced(assumption)).
% 77.40/49.66 tff(29,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)), introduced(assumption)).
% 77.40/49.66 tff(30,assumption,(node10(c_e_h_3, c_n, s1, s2)), introduced(assumption)).
% 77.40/49.66 tff(31,assumption,(~m_cell_v_token(c_e_h_3, s0)), introduced(assumption)).
% 77.40/49.66 tff(32,plain,
% 77.40/49.66 (^[X: $i] : refl(m_cell_v_token(c_e_h_3, X) <=> m_cell_v_token(c_e_h_3, X))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(33,plain,
% 77.40/49.66 (![X: $i] : m_cell_v_token(c_e_h_3, X) <=> ![X: $i] : m_cell_v_token(c_e_h_3, X)),
% 77.40/49.66 inference(quant_intro,[status(thm)],[32])).
% 77.40/49.66 tff(34,plain,
% 77.40/49.66 (![X: $i] : m_cell_v_token(c_e_h_3, X) <=> ![X: $i] : m_cell_v_token(c_e_h_3, X)),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(35,axiom,(![X: $i] : m_cell_v_token(c_e_h_3, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_9')).
% 77.40/49.66 tff(36,plain,
% 77.40/49.66 (![X: $i] : m_cell_v_token(c_e_h_3, X)),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[35, 34])).
% 77.40/49.66 tff(37,plain,(
% 77.40/49.66 ![X: $i] : m_cell_v_token(c_e_h_3, X)),
% 77.40/49.66 inference(skolemize,[status(sab)],[36])).
% 77.40/49.66 tff(38,plain,
% 77.40/49.66 (![X: $i] : m_cell_v_token(c_e_h_3, X)),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[37, 33])).
% 77.40/49.66 tff(39,plain,
% 77.40/49.66 ((~![X: $i] : m_cell_v_token(c_e_h_3, X)) | m_cell_v_token(c_e_h_3, s0)),
% 77.40/49.66 inference(quant_inst,[status(thm)],[])).
% 77.40/49.66 tff(40,plain,
% 77.40/49.66 ($false),
% 77.40/49.66 inference(unit_resolution,[status(thm)],[39, 38, 31])).
% 77.40/49.66 tff(41,plain,(m_cell_v_token(c_e_h_3, s0)), inference(lemma,lemma(discharge,[]))).
% 77.40/49.66 tff(42,plain,
% 77.40/49.66 (^[I0: $i, X: $i] : refl(((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) <=> ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(43,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[42])).
% 77.40/49.66 tff(44,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(45,plain,
% 77.40/49.66 (^[I0: $i, X: $i] : rewrite(((~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) | (~m_cell_v_token(I0, X))) <=> ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(46,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) | (~m_cell_v_token(I0, X))) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[45])).
% 77.40/49.66 tff(47,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) | (~m_cell_v_token(I0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_62')).
% 77.40/49.66 tff(48,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[47, 46])).
% 77.40/49.66 tff(49,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[48, 44])).
% 77.40/49.66 tff(50,plain,(
% 77.40/49.66 ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(skolemize,[status(sab)],[49])).
% 77.40/49.66 tff(51,plain,
% 77.40/49.66 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[50, 43])).
% 77.40/49.66 tff(52,plain,
% 77.40/49.66 (((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))) | ((~m_cell_v_token(c_e_h_3, s0)) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))) | (~m_cell_v_token(c_e_h_3, s0)) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.66 tff(53,plain,
% 77.40/49.66 ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))) | ((~m_cell_v_token(c_e_h_3, s0)) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)))),
% 77.40/49.66 inference(quant_inst,[status(thm)],[])).
% 77.40/49.66 tff(54,plain,
% 77.40/49.66 ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | (~m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))) | (~m_cell_v_token(c_e_h_3, s0)) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))),
% 77.40/49.66 inference(modus_ponens,[status(thm)],[53, 52])).
% 77.40/49.66 tff(55,plain,
% 77.40/49.66 (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)),
% 77.40/49.66 inference(unit_resolution,[status(thm)],[54, 51, 41])).
% 77.40/49.66 tff(56,plain,
% 77.40/49.66 (^[I0: $i, I1: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) <=> ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)))),
% 77.40/49.66 inference(bind,[status(th)],[])).
% 77.40/49.66 tff(57,plain,
% 77.40/49.66 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))),
% 77.40/49.66 inference(quant_intro,[status(thm)],[56])).
% 77.40/49.66 tff(58,plain,
% 77.40/49.66 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))),
% 77.40/49.66 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(59,axiom,(![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_2')).
% 77.40/49.67 tff(60,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[59, 58])).
% 77.40/49.67 tff(61,plain,(
% 77.40/49.67 ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))),
% 77.40/49.67 inference(skolemize,[status(sab)],[60])).
% 77.40/49.67 tff(62,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[61, 57])).
% 77.40/49.67 tff(63,plain,
% 77.40/49.67 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(64,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(65,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[64, 63])).
% 77.40/49.67 tff(66,plain,
% 77.40/49.67 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[65, 62, 55])).
% 77.40/49.67 tff(67,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)), introduced(assumption)).
% 77.40/49.67 tff(68,plain,
% 77.40/49.67 (^[I0: $i, I1: $i] : refl(((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0)) <=> ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(69,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[68])).
% 77.40/49.67 tff(70,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(71,plain,
% 77.40/49.67 (^[I0: $i, I1: $i] : rewrite((m_and_h_gate_h_init_v_out(I0, I1, s0) | (~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) <=> ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(72,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, s0) | (~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) <=> ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[71])).
% 77.40/49.67 tff(73,axiom,(![I0: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, s0) | (~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_1')).
% 77.40/49.67 tff(74,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[73, 72])).
% 77.40/49.67 tff(75,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[74, 70])).
% 77.40/49.67 tff(76,plain,(
% 77.40/49.67 ![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(skolemize,[status(sab)],[75])).
% 77.40/49.67 tff(77,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[76, 69])).
% 77.40/49.67 tff(78,plain,
% 77.40/49.67 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(79,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(80,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[79, 78])).
% 77.40/49.67 tff(81,plain,
% 77.40/49.67 (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[80, 77, 67])).
% 77.40/49.67 tff(82,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : refl((m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) <=> (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(83,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[82])).
% 77.40/49.67 tff(84,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(85,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_h_init_v_init_h_out(I0, c_n, X) | m_cell_v_token(I0, X)) <=> (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(86,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_init_h_out(I0, c_n, X) | m_cell_v_token(I0, X)) <=> ![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[85])).
% 77.40/49.67 tff(87,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_init_h_out(I0, c_n, X) | m_cell_v_token(I0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_61')).
% 77.40/49.67 tff(88,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[87, 86])).
% 77.40/49.67 tff(89,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[88, 84])).
% 77.40/49.67 tff(90,plain,(
% 77.40/49.67 ![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(skolemize,[status(sab)],[89])).
% 77.40/49.67 tff(91,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[90, 83])).
% 77.40/49.67 tff(92,plain,
% 77.40/49.67 (((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_3, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_3, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(93,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_3, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(94,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_3, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[93, 92])).
% 77.40/49.67 tff(95,plain,
% 77.40/49.67 (m_cell_v_token(c_e_h_3, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[94, 91, 81])).
% 77.40/49.67 tff(96,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : refl(((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) <=> ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(97,plain,
% 77.40/49.67 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[96])).
% 77.40/49.67 tff(98,plain,
% 77.40/49.67 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(99,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_h_init_v_init_h_out(I0, c_m, X) | (~m_cell_v_token(I0, X))) <=> ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(100,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_init_h_out(I0, c_m, X) | (~m_cell_v_token(I0, X))) <=> ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[99])).
% 77.40/49.67 tff(101,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_init_h_out(I0, c_m, X) | (~m_cell_v_token(I0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_55')).
% 77.40/49.67 tff(102,plain,
% 77.40/49.67 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[101, 100])).
% 77.40/49.67 tff(103,plain,
% 77.40/49.67 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[102, 98])).
% 77.40/49.67 tff(104,plain,(
% 77.40/49.67 ![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(skolemize,[status(sab)],[103])).
% 77.40/49.67 tff(105,plain,
% 77.40/49.67 (![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[104, 97])).
% 77.40/49.67 tff(106,plain,
% 77.40/49.67 (((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))) | ((~m_cell_v_token(c_e_h_3, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))) | (~m_cell_v_token(c_e_h_3, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(107,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))) | ((~m_cell_v_token(c_e_h_3, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(108,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : ((~m_cell_v_token(I0, X)) | m_and_h_gate_h_init_v_init_h_out(I0, c_m, X))) | (~m_cell_v_token(c_e_h_3, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[107, 106])).
% 77.40/49.67 tff(109,plain,
% 77.40/49.67 (m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[108, 105, 95])).
% 77.40/49.67 tff(110,plain,
% 77.40/49.67 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(111,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(112,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[111, 110])).
% 77.40/49.67 tff(113,plain,
% 77.40/49.67 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[112, 77, 109])).
% 77.40/49.67 tff(114,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)), introduced(assumption)).
% 77.40/49.67 tff(115,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : refl((m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(116,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[115])).
% 77.40/49.67 tff(117,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(118,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_53')).
% 77.40/49.67 tff(119,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[118, 117])).
% 77.40/49.67 tff(120,plain,(
% 77.40/49.67 ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.40/49.67 inference(skolemize,[status(sab)],[119])).
% 77.40/49.67 tff(121,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[120, 116])).
% 77.40/49.67 tff(122,plain,
% 77.40/49.67 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(123,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(124,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[123, 122])).
% 77.40/49.67 tff(125,plain,
% 77.40/49.67 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[124, 121, 67])).
% 77.40/49.67 tff(126,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)), introduced(assumption)).
% 77.40/49.67 tff(127,assumption,(node10(c_e_h_3, c_m, s0, s1)), introduced(assumption)).
% 77.40/49.67 tff(128,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s0)), introduced(assumption)).
% 77.40/49.67 tff(129,plain,
% 77.40/49.67 (^[I0: $i, I1: $i] : refl((~m_c_h_element_v_out(I0, I1, s0)) <=> (~m_c_h_element_v_out(I0, I1, s0)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(130,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[129])).
% 77.40/49.67 tff(131,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(132,axiom,(![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_1')).
% 77.40/49.67 tff(133,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[132, 131])).
% 77.40/49.67 tff(134,plain,(
% 77.40/49.67 ![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))),
% 77.40/49.67 inference(skolemize,[status(sab)],[133])).
% 77.40/49.67 tff(135,plain,
% 77.40/49.67 (![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[134, 130])).
% 77.40/49.67 tff(136,plain,
% 77.40/49.67 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(137,plain,
% 77.40/49.67 ($false),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[136, 135, 128])).
% 77.40/49.67 tff(138,plain,(~m_c_h_element_v_out(c_e_h_3, c_f, s0)), inference(lemma,lemma(discharge,[]))).
% 77.40/49.67 tff(139,plain,
% 77.40/49.67 (^[I0: $i, X: $i] : refl((m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X)) <=> (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(140,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[139])).
% 77.40/49.67 tff(141,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(142,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_51')).
% 77.40/49.67 tff(143,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[142, 141])).
% 77.40/49.67 tff(144,plain,(
% 77.40/49.67 ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))),
% 77.40/49.67 inference(skolemize,[status(sab)],[143])).
% 77.40/49.67 tff(145,plain,
% 77.40/49.67 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[144, 140])).
% 77.40/49.67 tff(146,plain,
% 77.40/49.67 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0) | m_c_h_element_v_out(c_e_h_3, c_f, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(147,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(148,plain,
% 77.40/49.67 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0) | m_c_h_element_v_out(c_e_h_3, c_f, s0)),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[147, 146])).
% 77.40/49.67 tff(149,plain,
% 77.40/49.67 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0) | m_c_h_element_v_out(c_e_h_3, c_f, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[148, 145])).
% 77.40/49.67 tff(150,plain,
% 77.40/49.67 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)),
% 77.40/49.67 inference(unit_resolution,[status(thm)],[149, 138])).
% 77.40/49.67 tff(151,plain,
% 77.40/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) <=> ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(152,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[151])).
% 77.40/49.67 tff(153,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(154,plain,
% 77.40/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) <=> ((~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))), (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) <=> (((~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))))), rewrite((((~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) <=> ((~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))), (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) <=> ((~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)))), ((((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node10(I0, I1, X, Y))) <=> (((~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))))), rewrite((((~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))) <=> ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))), ((((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node10(I0, I1, X, Y))) <=> ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))))),
% 77.40/49.67 inference(bind,[status(th)],[])).
% 77.40/49.67 tff(155,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node10(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(quant_intro,[status(thm)],[154])).
% 77.40/49.67 tff(156,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node10(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_5')).
% 77.40/49.67 tff(157,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[156, 155])).
% 77.40/49.67 tff(158,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[157, 153])).
% 77.40/49.67 tff(159,plain,(
% 77.40/49.67 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(skolemize,[status(sab)],[158])).
% 77.40/49.67 tff(160,plain,
% 77.40/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))),
% 77.40/49.67 inference(modus_ponens,[status(thm)],[159, 152])).
% 77.40/49.67 tff(161,plain,
% 77.40/49.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1)))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(162,plain,
% 77.40/49.67 (((~node10(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1)))),
% 77.40/49.67 inference(rewrite,[status(thm)],[])).
% 77.40/49.67 tff(163,plain,
% 77.40/49.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1))))),
% 77.40/49.67 inference(monotonicity,[status(thm)],[162])).
% 77.40/49.67 tff(164,plain,
% 77.40/49.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1)))),
% 77.40/49.67 inference(transitivity,[status(thm)],[163, 161])).
% 77.40/49.67 tff(165,plain,
% 77.40/49.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1))),
% 77.40/49.67 inference(quant_inst,[status(thm)],[])).
% 77.40/49.67 tff(166,plain,
% 77.40/49.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0)) | (~node10(c_e_h_3, c_m, s0, s1))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[165, 164])).
% 77.41/49.67 tff(167,plain,
% 77.41/49.67 ($false),
% 77.41/49.67 inference(unit_resolution,[status(thm)],[166, 160, 114, 150, 127, 126])).
% 77.41/49.67 tff(168,plain,((~node10(c_e_h_3, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.67 tff(169,plain,
% 77.41/49.67 (~node10(c_e_h_3, c_m, s0, s1)),
% 77.41/49.67 inference(unit_resolution,[status(thm)],[168, 125, 114])).
% 77.41/49.67 tff(170,plain,
% 77.41/49.67 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 77.41/49.67 inference(bind,[status(th)],[])).
% 77.41/49.67 tff(171,plain,
% 77.41/49.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 77.41/49.67 inference(quant_intro,[status(thm)],[170])).
% 77.41/49.67 tff(172,plain,
% 77.41/49.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(173,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 77.41/49.67 tff(174,plain,
% 77.41/49.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[173, 172])).
% 77.41/49.67 tff(175,plain,(
% 77.41/49.67 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 77.41/49.67 inference(skolemize,[status(sab)],[174])).
% 77.41/49.67 tff(176,plain,
% 77.41/49.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[175, 171])).
% 77.41/49.67 tff(177,plain,
% 77.41/49.67 (succ(s0, s1) <=> succ(s0, s1)),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(178,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 77.41/49.67 tff(179,plain,
% 77.41/49.67 (succ(s0, s1)),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[178, 177])).
% 77.41/49.67 tff(180,plain,
% 77.41/49.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(181,plain,
% 77.41/49.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 77.41/49.67 inference(quant_inst,[status(thm)],[])).
% 77.41/49.67 tff(182,plain,
% 77.41/49.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[181, 180])).
% 77.41/49.67 tff(183,plain,
% 77.41/49.67 (trans(s0, s1)),
% 77.41/49.67 inference(unit_resolution,[status(thm)],[182, 179, 176])).
% 77.41/49.67 tff(184,plain,
% 77.41/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) <=> ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y)))),
% 77.41/49.67 inference(bind,[status(th)],[])).
% 77.41/49.67 tff(185,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(quant_intro,[status(thm)],[184])).
% 77.41/49.67 tff(186,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(187,plain,
% 77.41/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) | (~trans(X, Y))) <=> ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y)))),
% 77.41/49.67 inference(bind,[status(th)],[])).
% 77.41/49.67 tff(188,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(quant_intro,[status(thm)],[187])).
% 77.41/49.67 tff(189,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node10(I0, I1, X, Y) | node11(I0, I1, X, Y)) | (~trans(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_9')).
% 77.41/49.67 tff(190,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[189, 188])).
% 77.41/49.67 tff(191,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[190, 186])).
% 77.41/49.67 tff(192,plain,(
% 77.41/49.67 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(skolemize,[status(sab)],[191])).
% 77.41/49.67 tff(193,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[192, 185])).
% 77.41/49.67 tff(194,plain,
% 77.41/49.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_3, c_m, s0, s1) | node11(c_e_h_3, c_m, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_3, c_m, s0, s1) | node11(c_e_h_3, c_m, s0, s1))),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(195,plain,
% 77.41/49.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_3, c_m, s0, s1) | node11(c_e_h_3, c_m, s0, s1))),
% 77.41/49.67 inference(quant_inst,[status(thm)],[])).
% 77.41/49.67 tff(196,plain,
% 77.41/49.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_3, c_m, s0, s1) | node11(c_e_h_3, c_m, s0, s1)),
% 77.41/49.67 inference(modus_ponens,[status(thm)],[195, 194])).
% 77.41/49.67 tff(197,plain,
% 77.41/49.67 (node10(c_e_h_3, c_m, s0, s1) | node11(c_e_h_3, c_m, s0, s1)),
% 77.41/49.67 inference(unit_resolution,[status(thm)],[196, 193, 183])).
% 77.41/49.67 tff(198,plain,
% 77.41/49.67 (node11(c_e_h_3, c_m, s0, s1)),
% 77.41/49.67 inference(unit_resolution,[status(thm)],[197, 169])).
% 77.41/49.67 tff(199,plain,
% 77.41/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) <=> (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X))))),
% 77.41/49.67 inference(bind,[status(th)],[])).
% 77.41/49.67 tff(200,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.67 inference(quant_intro,[status(thm)],[199])).
% 77.41/49.67 tff(201,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.67 inference(rewrite,[status(thm)],[])).
% 77.41/49.67 tff(202,plain,
% 77.41/49.67 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) <=> (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))), (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y))) <=> ((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y))))), rewrite(((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y))) <=> (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))), (((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y))) <=> (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))))),
% 77.41/49.67 inference(bind,[status(th)],[])).
% 77.41/49.67 tff(203,plain,
% 77.41/49.67 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[202])).
% 77.41/49.68 tff(204,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_and_h_gate_h_init_v_out(I0, I1, Y) | (~m_and_h_gate_h_init_v_out(I0, I1, X))) | (~node11(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_7')).
% 77.41/49.68 tff(205,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[204, 203])).
% 77.41/49.68 tff(206,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[205, 201])).
% 77.41/49.68 tff(207,plain,(
% 77.41/49.68 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(skolemize,[status(sab)],[206])).
% 77.41/49.68 tff(208,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[207, 200])).
% 77.41/49.68 tff(209,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(210,plain,
% 77.41/49.68 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(211,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1))))),
% 77.41/49.68 inference(monotonicity,[status(thm)],[210])).
% 77.41/49.68 tff(212,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)))),
% 77.41/49.68 inference(transitivity,[status(thm)],[211, 209])).
% 77.41/49.68 tff(213,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(214,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1) | (~node11(c_e_h_3, c_m, s0, s1))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[213, 212])).
% 77.41/49.68 tff(215,plain,
% 77.41/49.68 ($false),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[214, 208, 114, 198, 113])).
% 77.41/49.68 tff(216,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.68 tff(217,plain,
% 77.41/49.68 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[216, 66])).
% 77.41/49.68 tff(218,plain,
% 77.41/49.68 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(219,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[218])).
% 77.41/49.68 tff(220,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(221,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_60')).
% 77.41/49.68 tff(222,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[221, 220])).
% 77.41/49.68 tff(223,plain,(
% 77.41/49.68 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.41/49.68 inference(skolemize,[status(sab)],[222])).
% 77.41/49.68 tff(224,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[223, 219])).
% 77.41/49.68 tff(225,plain,
% 77.41/49.68 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(226,plain,
% 77.41/49.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(227,plain,
% 77.41/49.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[226, 225])).
% 77.41/49.68 tff(228,plain,
% 77.41/49.68 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[227, 224, 217])).
% 77.41/49.68 tff(229,plain,
% 77.41/49.68 (^[I0: $i, X: $i, I1: $i] : refl(((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X)) <=> ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X)))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(230,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[229])).
% 77.41/49.68 tff(231,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(232,plain,
% 77.41/49.68 (^[I0: $i, X: $i, I1: $i] : rewrite((m_and_h_gate_h_init_v_in2(I0, I1, X) | (~node9(I0, I1, X))) <=> ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X)))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(233,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_in2(I0, I1, X) | (~node9(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[232])).
% 77.41/49.68 tff(234,axiom,(![I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_in2(I0, I1, X) | (~node9(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_4')).
% 77.41/49.68 tff(235,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[234, 233])).
% 77.41/49.68 tff(236,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[235, 231])).
% 77.41/49.68 tff(237,plain,(
% 77.41/49.68 ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(skolemize,[status(sab)],[236])).
% 77.41/49.68 tff(238,plain,
% 77.41/49.68 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[237, 230])).
% 77.41/49.68 tff(239,plain,
% 77.41/49.68 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(240,plain,
% 77.41/49.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(241,plain,
% 77.41/49.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s1)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[240, 239])).
% 77.41/49.68 tff(242,plain,
% 77.41/49.68 (~node9(c_e_h_3, c_n, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[241, 238, 228])).
% 77.41/49.68 tff(243,plain,
% 77.41/49.68 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))) <=> (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(244,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[243])).
% 77.41/49.68 tff(245,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(246,plain,
% 77.41/49.68 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | node9(I0, I1, X)) | (~node10(I0, I1, X, Y))) <=> (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y))))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(247,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | node9(I0, I1, X)) | (~node10(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[246])).
% 77.41/49.68 tff(248,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | node9(I0, I1, X)) | (~node10(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_6')).
% 77.41/49.68 tff(249,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[248, 247])).
% 77.41/49.68 tff(250,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[249, 245])).
% 77.41/49.68 tff(251,plain,(
% 77.41/49.68 ![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(skolemize,[status(sab)],[250])).
% 77.41/49.68 tff(252,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[251, 244])).
% 77.41/49.68 tff(253,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node10(c_e_h_3, c_n, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node10(c_e_h_3, c_n, s1, s2)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(254,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node10(c_e_h_3, c_n, s1, s2)))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(255,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node10(c_e_h_3, c_n, s1, s2))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[254, 253])).
% 77.41/49.68 tff(256,plain,
% 77.41/49.68 ($false),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[255, 252, 29, 242, 30])).
% 77.41/49.68 tff(257,plain,((~node10(c_e_h_3, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.68 tff(258,plain,
% 77.41/49.68 (~node10(c_e_h_3, c_n, s1, s2)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[257, 29])).
% 77.41/49.68 tff(259,plain,
% 77.41/49.68 (succ(s1, s2) <=> succ(s1, s2)),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(260,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 77.41/49.68 tff(261,plain,
% 77.41/49.68 (succ(s1, s2)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[260, 259])).
% 77.41/49.68 tff(262,plain,
% 77.41/49.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(263,plain,
% 77.41/49.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(264,plain,
% 77.41/49.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[263, 262])).
% 77.41/49.68 tff(265,plain,
% 77.41/49.68 (trans(s1, s2)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[264, 261, 176])).
% 77.41/49.68 tff(266,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_3, c_n, s1, s2) | node11(c_e_h_3, c_n, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_3, c_n, s1, s2) | node11(c_e_h_3, c_n, s1, s2))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(267,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_3, c_n, s1, s2) | node11(c_e_h_3, c_n, s1, s2))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(268,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_3, c_n, s1, s2) | node11(c_e_h_3, c_n, s1, s2)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[267, 266])).
% 77.41/49.68 tff(269,plain,
% 77.41/49.68 (node10(c_e_h_3, c_n, s1, s2) | node11(c_e_h_3, c_n, s1, s2)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[268, 193, 265])).
% 77.41/49.68 tff(270,plain,
% 77.41/49.68 (node11(c_e_h_3, c_n, s1, s2)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[269, 258])).
% 77.41/49.68 tff(271,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)), introduced(assumption)).
% 77.41/49.68 tff(272,assumption,(node11(c_e_h_3, c_n, s0, s1)), introduced(assumption)).
% 77.41/49.68 tff(273,plain,
% 77.41/49.68 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) <=> ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(274,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[273])).
% 77.41/49.68 tff(275,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(276,plain,
% 77.41/49.68 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) | (~node11(I0, I1, X, Y))) <=> ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(277,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) | (~node11(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[276])).
% 77.41/49.68 tff(278,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X)) | (~node11(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_8')).
% 77.41/49.68 tff(279,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[278, 277])).
% 77.41/49.68 tff(280,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[279, 275])).
% 77.41/49.68 tff(281,plain,(
% 77.41/49.68 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(skolemize,[status(sab)],[280])).
% 77.41/49.68 tff(282,plain,
% 77.41/49.68 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[281, 274])).
% 77.41/49.68 tff(283,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node11(c_e_h_3, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node11(c_e_h_3, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(284,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node11(c_e_h_3, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(285,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node11(c_e_h_3, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[284, 283])).
% 77.41/49.68 tff(286,plain,
% 77.41/49.68 ($false),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[285, 282, 66, 271, 272])).
% 77.41/49.68 tff(287,plain,((~node11(c_e_h_3, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.68 tff(288,plain,
% 77.41/49.68 (~node11(c_e_h_3, c_n, s0, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[287, 271])).
% 77.41/49.68 tff(289,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_3, c_n, s0, s1) | node11(c_e_h_3, c_n, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_3, c_n, s0, s1) | node11(c_e_h_3, c_n, s0, s1))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(290,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_3, c_n, s0, s1) | node11(c_e_h_3, c_n, s0, s1))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(291,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_3, c_n, s0, s1) | node11(c_e_h_3, c_n, s0, s1)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[290, 289])).
% 77.41/49.68 tff(292,plain,
% 77.41/49.68 (node10(c_e_h_3, c_n, s0, s1) | node11(c_e_h_3, c_n, s0, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[291, 193, 183])).
% 77.41/49.68 tff(293,plain,
% 77.41/49.68 (node10(c_e_h_3, c_n, s0, s1)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[292, 288])).
% 77.41/49.68 tff(294,plain,
% 77.41/49.68 (m_and_h_gate_h_init_v_init_h_out(c_e_h_3, c_m, s0)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[108, 105, 41])).
% 77.41/49.68 tff(295,plain,
% 77.41/49.68 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[112, 77, 294])).
% 77.41/49.68 tff(296,plain,
% 77.41/49.68 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(297,plain,
% 77.41/49.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0)))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(298,plain,
% 77.41/49.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s0))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[297, 296])).
% 77.41/49.68 tff(299,plain,
% 77.41/49.68 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[298, 224, 295])).
% 77.41/49.68 tff(300,plain,
% 77.41/49.68 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(301,plain,
% 77.41/49.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(302,plain,
% 77.41/49.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s0)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[301, 300])).
% 77.41/49.68 tff(303,plain,
% 77.41/49.68 (~node9(c_e_h_3, c_n, s0)),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[302, 238, 299])).
% 77.41/49.68 tff(304,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node10(c_e_h_3, c_n, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node10(c_e_h_3, c_n, s0, s1)))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(305,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node10(c_e_h_3, c_n, s0, s1)))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(306,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)) | (~node10(c_e_h_3, c_n, s0, s1))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[305, 304])).
% 77.41/49.68 tff(307,plain,
% 77.41/49.68 ($false),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[306, 252, 271, 303, 293])).
% 77.41/49.68 tff(308,plain,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.68 tff(309,plain,
% 77.41/49.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node11(c_e_h_3, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node11(c_e_h_3, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(310,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node11(c_e_h_3, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.41/49.68 inference(quant_inst,[status(thm)],[])).
% 77.41/49.68 tff(311,plain,
% 77.41/49.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)) | (~node11(c_e_h_3, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[310, 309])).
% 77.41/49.68 tff(312,plain,
% 77.41/49.68 ($false),
% 77.41/49.68 inference(unit_resolution,[status(thm)],[311, 282, 308, 29, 270])).
% 77.41/49.68 tff(313,plain,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.68 tff(314,plain,
% 77.41/49.68 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.41/49.68 inference(bind,[status(th)],[])).
% 77.41/49.68 tff(315,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.41/49.68 inference(quant_intro,[status(thm)],[314])).
% 77.41/49.68 tff(316,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.41/49.68 inference(rewrite,[status(thm)],[])).
% 77.41/49.68 tff(317,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_70')).
% 77.41/49.68 tff(318,plain,
% 77.41/49.68 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.41/49.68 inference(modus_ponens,[status(thm)],[317, 316])).
% 77.41/49.68 tff(319,plain,(
% 77.41/49.68 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.41/49.69 inference(skolemize,[status(sab)],[318])).
% 77.41/49.69 tff(320,plain,
% 77.41/49.69 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[319, 315])).
% 77.41/49.69 tff(321,plain,
% 77.41/49.69 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(322,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(323,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[322, 321])).
% 77.41/49.69 tff(324,plain,
% 77.41/49.69 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s2)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[323, 320, 313])).
% 77.41/49.69 tff(325,plain,
% 77.41/49.69 (^[I0: $i, X: $i, I1: $i] : refl(((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X)) <=> ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(326,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[325])).
% 77.41/49.69 tff(327,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(328,plain,
% 77.41/49.69 (^[I0: $i, X: $i, I1: $i] : rewrite((m_and_h_gate_v_in2(I0, I1, X) | (~node20(I0, I1, X))) <=> ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(329,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_in2(I0, I1, X) | (~node20(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[328])).
% 77.41/49.69 tff(330,axiom,(![I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_in2(I0, I1, X) | (~node20(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_3')).
% 77.41/49.69 tff(331,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[330, 329])).
% 77.41/49.69 tff(332,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[331, 327])).
% 77.41/49.69 tff(333,plain,(
% 77.41/49.69 ![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(skolemize,[status(sab)],[332])).
% 77.41/49.69 tff(334,plain,
% 77.41/49.69 (![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[333, 326])).
% 77.41/49.69 tff(335,plain,
% 77.41/49.69 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s2)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s2)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s2))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(336,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s2)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s2))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(337,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s2)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s2)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[336, 335])).
% 77.41/49.69 tff(338,plain,
% 77.41/49.69 (~node20(c_e_h_3, c_q, s2)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[337, 334, 324])).
% 77.41/49.69 tff(339,plain,
% 77.41/49.69 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))) <=> (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(340,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[339])).
% 77.41/49.69 tff(341,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(342,plain,
% 77.41/49.69 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_and_h_gate_v_out(I0, I1, Y)) | node20(I0, I1, X)) | (~node21(I0, I1, X, Y))) <=> (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(343,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_v_out(I0, I1, Y)) | node20(I0, I1, X)) | (~node21(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[342])).
% 77.41/49.69 tff(344,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_v_out(I0, I1, Y)) | node20(I0, I1, X)) | (~node21(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_5')).
% 77.41/49.69 tff(345,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[344, 343])).
% 77.41/49.69 tff(346,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[345, 341])).
% 77.41/49.69 tff(347,plain,(
% 77.41/49.69 ![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(skolemize,[status(sab)],[346])).
% 77.41/49.69 tff(348,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[347, 340])).
% 77.41/49.69 tff(349,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3)))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(350,plain,
% 77.41/49.69 ((node20(c_e_h_3, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node21(c_e_h_3, c_q, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3)))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(351,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node21(c_e_h_3, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3))))),
% 77.41/49.69 inference(monotonicity,[status(thm)],[350])).
% 77.41/49.69 tff(352,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node21(c_e_h_3, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3)))),
% 77.41/49.69 inference(transitivity,[status(thm)],[351, 349])).
% 77.41/49.69 tff(353,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node21(c_e_h_3, c_q, s2, s3)))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(354,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | node20(c_e_h_3, c_q, s2) | (~node21(c_e_h_3, c_q, s2, s3))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[353, 352])).
% 77.41/49.69 tff(355,plain,
% 77.41/49.69 ($false),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[354, 348, 27, 338, 28])).
% 77.41/49.69 tff(356,plain,((~node21(c_e_h_3, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.69 tff(357,plain,
% 77.41/49.69 (~node21(c_e_h_3, c_q, s2, s3)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[356, 27])).
% 77.41/49.69 tff(358,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s2)), introduced(assumption)).
% 77.41/49.69 tff(359,assumption,(node21(c_e_h_3, c_q, s1, s2)), introduced(assumption)).
% 77.41/49.69 tff(360,plain,
% 77.41/49.69 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(361,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(362,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[361, 360])).
% 77.41/49.69 tff(363,plain,
% 77.41/49.69 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s1)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[362, 320, 308])).
% 77.41/49.69 tff(364,plain,
% 77.41/49.69 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s1))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(365,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s1))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(366,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s1)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[365, 364])).
% 77.41/49.69 tff(367,plain,
% 77.41/49.69 (~node20(c_e_h_3, c_q, s1)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[366, 334, 363])).
% 77.41/49.69 tff(368,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node21(c_e_h_3, c_q, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node21(c_e_h_3, c_q, s1, s2)))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(369,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node21(c_e_h_3, c_q, s1, s2)))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(370,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node21(c_e_h_3, c_q, s1, s2))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[369, 368])).
% 77.41/49.69 tff(371,plain,
% 77.41/49.69 ($false),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[370, 348, 358, 367, 359])).
% 77.41/49.69 tff(372,plain,((~node21(c_e_h_3, c_q, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.69 tff(373,plain,
% 77.41/49.69 (~node21(c_e_h_3, c_q, s1, s2)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[372, 358])).
% 77.41/49.69 tff(374,plain,
% 77.41/49.69 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) <=> ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(375,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[374])).
% 77.41/49.69 tff(376,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(377,plain,
% 77.41/49.69 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) | (~trans(X, Y))) <=> ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(378,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[377])).
% 77.41/49.69 tff(379,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node21(I0, I1, X, Y) | node22(I0, I1, X, Y)) | (~trans(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_8')).
% 77.41/49.69 tff(380,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[379, 378])).
% 77.41/49.69 tff(381,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[380, 376])).
% 77.41/49.69 tff(382,plain,(
% 77.41/49.69 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(skolemize,[status(sab)],[381])).
% 77.41/49.69 tff(383,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[382, 375])).
% 77.41/49.69 tff(384,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_q, s1, s2) | node22(c_e_h_3, c_q, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_q, s1, s2) | node22(c_e_h_3, c_q, s1, s2))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(385,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_q, s1, s2) | node22(c_e_h_3, c_q, s1, s2))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(386,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_q, s1, s2) | node22(c_e_h_3, c_q, s1, s2)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[385, 384])).
% 77.41/49.69 tff(387,plain,
% 77.41/49.69 (node21(c_e_h_3, c_q, s1, s2) | node22(c_e_h_3, c_q, s1, s2)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[386, 383, 265])).
% 77.41/49.69 tff(388,plain,
% 77.41/49.69 (node22(c_e_h_3, c_q, s1, s2)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[387, 373])).
% 77.41/49.69 tff(389,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s1)), introduced(assumption)).
% 77.41/49.69 tff(390,assumption,(node21(c_e_h_3, c_q, s0, s1)), introduced(assumption)).
% 77.41/49.69 tff(391,plain,
% 77.41/49.69 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X)) <=> ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(392,plain,
% 77.41/49.69 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[391])).
% 77.41/49.69 tff(393,plain,
% 77.41/49.69 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(394,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_68')).
% 77.41/49.69 tff(395,plain,
% 77.41/49.69 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[394, 393])).
% 77.41/49.69 tff(396,plain,(
% 77.41/49.69 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))),
% 77.41/49.69 inference(skolemize,[status(sab)],[395])).
% 77.41/49.69 tff(397,plain,
% 77.41/49.69 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[396, 392])).
% 77.41/49.69 tff(398,plain,
% 77.41/49.69 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s0)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s0)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(399,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s0)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(400,plain,
% 77.41/49.69 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s0)) | m_c_h_element_v_out(c_e_h_3, c_f, s0)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[399, 398])).
% 77.41/49.69 tff(401,plain,
% 77.41/49.69 (~m_and_h_gate_v_in1(c_e_h_3, c_q, s0)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[400, 397, 138])).
% 77.41/49.69 tff(402,plain,
% 77.41/49.69 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s0))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(403,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s0))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(404,plain,
% 77.41/49.69 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s0)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[403, 402])).
% 77.41/49.69 tff(405,plain,
% 77.41/49.69 (~node20(c_e_h_3, c_q, s0)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[404, 22, 401])).
% 77.41/49.69 tff(406,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node21(c_e_h_3, c_q, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node21(c_e_h_3, c_q, s0, s1)))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(407,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node21(c_e_h_3, c_q, s0, s1)))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(408,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node21(c_e_h_3, c_q, s0, s1))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[407, 406])).
% 77.41/49.69 tff(409,plain,
% 77.41/49.69 ($false),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[408, 348, 389, 405, 390])).
% 77.41/49.69 tff(410,plain,((~node21(c_e_h_3, c_q, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.69 tff(411,plain,
% 77.41/49.69 (~node21(c_e_h_3, c_q, s0, s1)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[410, 389])).
% 77.41/49.69 tff(412,plain,
% 77.41/49.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_q, s0, s1) | node22(c_e_h_3, c_q, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_q, s0, s1) | node22(c_e_h_3, c_q, s0, s1))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(413,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_q, s0, s1) | node22(c_e_h_3, c_q, s0, s1))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(414,plain,
% 77.41/49.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_q, s0, s1) | node22(c_e_h_3, c_q, s0, s1)),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[413, 412])).
% 77.41/49.69 tff(415,plain,
% 77.41/49.69 (node21(c_e_h_3, c_q, s0, s1) | node22(c_e_h_3, c_q, s0, s1)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[414, 383, 183])).
% 77.41/49.69 tff(416,plain,
% 77.41/49.69 (node22(c_e_h_3, c_q, s0, s1)),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[415, 411])).
% 77.41/49.69 tff(417,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s0)), introduced(assumption)).
% 77.41/49.69 tff(418,plain,
% 77.41/49.69 (^[I0: $i, I1: $i] : refl((~m_and_h_gate_v_out(I0, I1, s0)) <=> (~m_and_h_gate_v_out(I0, I1, s0)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(419,plain,
% 77.41/49.69 (![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))),
% 77.41/49.69 inference(quant_intro,[status(thm)],[418])).
% 77.41/49.69 tff(420,plain,
% 77.41/49.69 (![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))),
% 77.41/49.69 inference(rewrite,[status(thm)],[])).
% 77.41/49.69 tff(421,axiom,(![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_1')).
% 77.41/49.69 tff(422,plain,
% 77.41/49.69 (![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[421, 420])).
% 77.41/49.69 tff(423,plain,(
% 77.41/49.69 ![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))),
% 77.41/49.69 inference(skolemize,[status(sab)],[422])).
% 77.41/49.69 tff(424,plain,
% 77.41/49.69 (![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))),
% 77.41/49.69 inference(modus_ponens,[status(thm)],[423, 419])).
% 77.41/49.69 tff(425,plain,
% 77.41/49.69 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s0))),
% 77.41/49.69 inference(quant_inst,[status(thm)],[])).
% 77.41/49.69 tff(426,plain,
% 77.41/49.69 ($false),
% 77.41/49.69 inference(unit_resolution,[status(thm)],[425, 424, 417])).
% 77.41/49.69 tff(427,plain,(~m_and_h_gate_v_out(c_e_h_3, c_q, s0)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.69 tff(428,plain,
% 77.41/49.69 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X)) <=> ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X)))),
% 77.41/49.69 inference(bind,[status(th)],[])).
% 77.41/49.69 tff(429,plain,
% 77.41/49.69 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[428])).
% 77.41/49.70 tff(430,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(431,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_and_h_gate_v_out(I0, I1, Y)) | m_and_h_gate_v_out(I0, I1, X)) | (~node22(I0, I1, X, Y))) <=> ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X)))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(432,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_v_out(I0, I1, Y)) | m_and_h_gate_v_out(I0, I1, X)) | (~node22(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[431])).
% 77.41/49.70 tff(433,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_and_h_gate_v_out(I0, I1, Y)) | m_and_h_gate_v_out(I0, I1, X)) | (~node22(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_7')).
% 77.41/49.70 tff(434,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[433, 432])).
% 77.41/49.70 tff(435,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[434, 430])).
% 77.41/49.70 tff(436,plain,(
% 77.41/49.70 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(skolemize,[status(sab)],[435])).
% 77.41/49.70 tff(437,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[436, 429])).
% 77.41/49.70 tff(438,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node22(c_e_h_3, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node22(c_e_h_3, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(439,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node22(c_e_h_3, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(440,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s1)) | (~node22(c_e_h_3, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[439, 438])).
% 77.41/49.70 tff(441,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[440, 437, 389, 427, 416])).
% 77.41/49.70 tff(442,plain,(~m_and_h_gate_v_out(c_e_h_3, c_q, s1)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(443,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node22(c_e_h_3, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node22(c_e_h_3, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(444,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node22(c_e_h_3, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(445,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s2)) | (~node22(c_e_h_3, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[444, 443])).
% 77.41/49.70 tff(446,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[445, 437, 442, 358, 388])).
% 77.41/49.70 tff(447,plain,(~m_and_h_gate_v_out(c_e_h_3, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(448,assumption,(node22(c_e_h_3, c_q, s2, s3)), introduced(assumption)).
% 77.41/49.70 tff(449,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s2)), introduced(assumption)).
% 77.41/49.70 tff(450,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node22(c_e_h_3, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node22(c_e_h_3, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(451,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node22(c_e_h_3, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(452,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | (~node22(c_e_h_3, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[451, 450])).
% 77.41/49.70 tff(453,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[452, 437, 27, 449, 448])).
% 77.41/49.70 tff(454,plain,((~node22(c_e_h_3, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(455,plain,
% 77.41/49.70 ((~node22(c_e_h_3, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s3))),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[454, 447])).
% 77.41/49.70 tff(456,plain,
% 77.41/49.70 (~node22(c_e_h_3, c_q, s2, s3)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[455, 27])).
% 77.41/49.70 tff(457,plain,
% 77.41/49.70 (succ(s2, s3) <=> succ(s2, s3)),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(458,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 77.41/49.70 tff(459,plain,
% 77.41/49.70 (succ(s2, s3)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[458, 457])).
% 77.41/49.70 tff(460,plain,
% 77.41/49.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(461,plain,
% 77.41/49.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(462,plain,
% 77.41/49.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[461, 460])).
% 77.41/49.70 tff(463,plain,
% 77.41/49.70 (trans(s2, s3)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[462, 459, 176])).
% 77.41/49.70 tff(464,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_q, s2, s3) | node22(c_e_h_3, c_q, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_q, s2, s3) | node22(c_e_h_3, c_q, s2, s3))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(465,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_q, s2, s3) | node22(c_e_h_3, c_q, s2, s3))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(466,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_q, s2, s3) | node22(c_e_h_3, c_q, s2, s3)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[465, 464])).
% 77.41/49.70 tff(467,plain,
% 77.41/49.70 (node21(c_e_h_3, c_q, s2, s3) | node22(c_e_h_3, c_q, s2, s3)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[466, 383, 463])).
% 77.41/49.70 tff(468,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[467, 456, 357])).
% 77.41/49.70 tff(469,plain,(~m_and_h_gate_v_out(c_e_h_3, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(470,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s1)), introduced(assumption)).
% 77.41/49.70 tff(471,assumption,(node18(c_e_h_3, c_f, s0, s1)), introduced(assumption)).
% 77.41/49.70 tff(472,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y))) <=> ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(473,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[472])).
% 77.41/49.70 tff(474,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(475,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))) <=> ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(476,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[475])).
% 77.41/49.70 tff(477,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_11')).
% 77.41/49.70 tff(478,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[477, 476])).
% 77.41/49.70 tff(479,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[478, 474])).
% 77.41/49.70 tff(480,plain,(
% 77.41/49.70 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(skolemize,[status(sab)],[479])).
% 77.41/49.70 tff(481,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[480, 473])).
% 77.41/49.70 tff(482,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0) | (~node18(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0) | (~node18(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(483,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0) | (~node18(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(484,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0) | (~node18(c_e_h_3, c_f, s0, s1))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[483, 482])).
% 77.41/49.70 tff(485,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[484, 481, 470, 138, 471])).
% 77.41/49.70 tff(486,plain,((~node18(c_e_h_3, c_f, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(487,plain,
% 77.41/49.70 (~node18(c_e_h_3, c_f, s0, s1)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[486, 470])).
% 77.41/49.70 tff(488,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | node19(I0, I1, X, Y)) <=> ((~trans(X, Y)) | node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(489,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[488])).
% 77.41/49.70 tff(490,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(491,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_14')).
% 77.41/49.70 tff(492,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[491, 490])).
% 77.41/49.70 tff(493,plain,(
% 77.41/49.70 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))),
% 77.41/49.70 inference(skolemize,[status(sab)],[492])).
% 77.41/49.70 tff(494,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[493, 489])).
% 77.41/49.70 tff(495,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_f, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_f, s0, s1))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(496,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_f, s0, s1))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(497,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_f, s0, s1)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[496, 495])).
% 77.41/49.70 tff(498,plain,
% 77.41/49.70 (node19(c_e_h_3, c_f, s0, s1)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[497, 494, 183])).
% 77.41/49.70 tff(499,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(500,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[499])).
% 77.41/49.70 tff(501,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(502,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node17(I0, I1, X) | node18(I0, I1, X, Y)) | (~node19(I0, I1, X, Y))) <=> (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(503,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node17(I0, I1, X) | node18(I0, I1, X, Y)) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[502])).
% 77.41/49.70 tff(504,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node17(I0, I1, X) | node18(I0, I1, X, Y)) | (~node19(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_13')).
% 77.41/49.70 tff(505,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[504, 503])).
% 77.41/49.70 tff(506,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[505, 501])).
% 77.41/49.70 tff(507,plain,(
% 77.41/49.70 ![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(skolemize,[status(sab)],[506])).
% 77.41/49.70 tff(508,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[507, 500])).
% 77.41/49.70 tff(509,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(510,plain,
% 77.41/49.70 ((node17(c_e_h_3, c_f, s0) | node18(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1))) <=> (node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(511,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s0) | node18(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1))))),
% 77.41/49.70 inference(monotonicity,[status(thm)],[510])).
% 77.41/49.70 tff(512,plain,
% 77.41/49.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s0) | node18(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(transitivity,[status(thm)],[511, 509])).
% 77.41/49.70 tff(513,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s0) | node18(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(514,plain,
% 77.41/49.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[513, 512])).
% 77.41/49.70 tff(515,plain,
% 77.41/49.70 (node18(c_e_h_3, c_f, s0, s1) | node17(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[514, 508, 498])).
% 77.41/49.70 tff(516,plain,
% 77.41/49.70 (node17(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[515, 487])).
% 77.41/49.70 tff(517,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s0)), introduced(assumption)).
% 77.41/49.70 tff(518,plain,
% 77.41/49.70 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(519,plain,
% 77.41/49.70 ($false),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[518, 424, 517])).
% 77.41/49.70 tff(520,plain,(~m_and_h_gate_v_out(c_e_h_3, c_i, s0)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.70 tff(521,plain,
% 77.41/49.70 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X)))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(522,plain,
% 77.41/49.70 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[521])).
% 77.41/49.70 tff(523,plain,
% 77.41/49.70 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(524,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_26')).
% 77.41/49.70 tff(525,plain,
% 77.41/49.70 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[524, 523])).
% 77.41/49.70 tff(526,plain,(
% 77.41/49.70 ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.41/49.70 inference(skolemize,[status(sab)],[525])).
% 77.41/49.70 tff(527,plain,
% 77.41/49.70 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[526, 522])).
% 77.41/49.70 tff(528,plain,
% 77.41/49.70 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(529,plain,
% 77.41/49.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(530,plain,
% 77.41/49.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[529, 528])).
% 77.41/49.70 tff(531,plain,
% 77.41/49.70 (~m_c_h_element_v_in2(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[530, 527, 520])).
% 77.41/49.70 tff(532,plain,
% 77.41/49.70 (^[I0: $i, X: $i, I1: $i] : refl(((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X))) <=> ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(533,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[532])).
% 77.41/49.70 tff(534,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(535,plain,
% 77.41/49.70 (^[I0: $i, X: $i, I1: $i] : rewrite((((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))) <=> ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(536,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[535])).
% 77.41/49.70 tff(537,axiom,(![I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_9')).
% 77.41/49.70 tff(538,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[537, 536])).
% 77.41/49.70 tff(539,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[538, 534])).
% 77.41/49.70 tff(540,plain,(
% 77.41/49.70 ![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(skolemize,[status(sab)],[539])).
% 77.41/49.70 tff(541,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[540, 533])).
% 77.41/49.70 tff(542,plain,
% 77.41/49.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(543,plain,
% 77.41/49.70 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0) | (~node17(c_e_h_3, c_f, s0))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(544,plain,
% 77.41/49.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0) | (~node17(c_e_h_3, c_f, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0)))),
% 77.41/49.70 inference(monotonicity,[status(thm)],[543])).
% 77.41/49.70 tff(545,plain,
% 77.41/49.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0) | (~node17(c_e_h_3, c_f, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(transitivity,[status(thm)],[544, 542])).
% 77.41/49.70 tff(546,plain,
% 77.41/49.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0) | (~node17(c_e_h_3, c_f, s0)))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(547,plain,
% 77.41/49.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0)) | m_c_h_element_v_in2(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[546, 545])).
% 77.41/49.70 tff(548,plain,
% 77.41/49.70 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s0)) | (~node17(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[547, 541, 531])).
% 77.41/49.70 tff(549,plain,
% 77.41/49.70 (~m_c_h_element_v_in1(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[548, 516])).
% 77.41/49.70 tff(550,plain,
% 77.41/49.70 (^[I0: $i, X: $i, I1: $i] : refl(((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) <=> ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(551,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[550])).
% 77.41/49.70 tff(552,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(553,plain,
% 77.41/49.70 (^[I0: $i, X: $i, I1: $i] : rewrite(((m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) | (~node16(I0, I1, X))) <=> ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(554,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) | (~node16(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(quant_intro,[status(thm)],[553])).
% 77.41/49.70 tff(555,axiom,(![I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X)) | (~node16(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_6')).
% 77.41/49.70 tff(556,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[555, 554])).
% 77.41/49.70 tff(557,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[556, 552])).
% 77.41/49.70 tff(558,plain,(
% 77.41/49.70 ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(skolemize,[status(sab)],[557])).
% 77.41/49.70 tff(559,plain,
% 77.41/49.70 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[558, 551])).
% 77.41/49.70 tff(560,plain,
% 77.41/49.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s0)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s0)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(rewrite,[status(thm)],[])).
% 77.41/49.70 tff(561,plain,
% 77.41/49.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s0)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | m_c_h_element_v_in2(c_e_h_3, c_f, s0))),
% 77.41/49.70 inference(quant_inst,[status(thm)],[])).
% 77.41/49.70 tff(562,plain,
% 77.41/49.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s0)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | m_c_h_element_v_in2(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(modus_ponens,[status(thm)],[561, 560])).
% 77.41/49.70 tff(563,plain,
% 77.41/49.70 ((~node16(c_e_h_3, c_f, s0)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[562, 559, 531])).
% 77.41/49.70 tff(564,plain,
% 77.41/49.70 (~node16(c_e_h_3, c_f, s0)),
% 77.41/49.70 inference(unit_resolution,[status(thm)],[563, 549])).
% 77.41/49.70 tff(565,assumption,(node14(c_e_h_3, c_f, s0, s1)), introduced(assumption)).
% 77.41/49.70 tff(566,plain,
% 77.41/49.70 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y))) <=> ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y))))),
% 77.41/49.70 inference(bind,[status(th)],[])).
% 77.41/49.70 tff(567,plain,
% 77.41/49.70 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[566])).
% 77.41/49.71 tff(568,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(569,plain,
% 77.41/49.71 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_in1(I0, I1, X)) | (~node14(I0, I1, X, Y))) <=> ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y))))),
% 77.41/49.71 inference(bind,[status(th)],[])).
% 77.41/49.71 tff(570,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_in1(I0, I1, X)) | (~node14(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[569])).
% 77.41/49.71 tff(571,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_in1(I0, I1, X)) | (~node14(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_3')).
% 77.41/49.71 tff(572,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[571, 570])).
% 77.41/49.71 tff(573,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[572, 568])).
% 77.41/49.71 tff(574,plain,(
% 77.41/49.71 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(skolemize,[status(sab)],[573])).
% 77.41/49.71 tff(575,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[574, 567])).
% 77.41/49.71 tff(576,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(577,plain,
% 77.41/49.71 (((~node14(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(578,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1))))),
% 77.41/49.71 inference(monotonicity,[status(thm)],[577])).
% 77.41/49.71 tff(579,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.71 inference(transitivity,[status(thm)],[578, 576])).
% 77.41/49.71 tff(580,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)))),
% 77.41/49.71 inference(quant_inst,[status(thm)],[])).
% 77.41/49.71 tff(581,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s0) | (~node14(c_e_h_3, c_f, s0, s1))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[580, 579])).
% 77.41/49.71 tff(582,plain,
% 77.41/49.71 ($false),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[581, 575, 470, 565, 549])).
% 77.41/49.71 tff(583,plain,((~node14(c_e_h_3, c_f, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1))), inference(lemma,lemma(discharge,[]))).
% 77.41/49.71 tff(584,plain,
% 77.41/49.71 (~node14(c_e_h_3, c_f, s0, s1)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[583, 470])).
% 77.41/49.71 tff(585,plain,
% 77.41/49.71 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y))))),
% 77.41/49.71 inference(bind,[status(th)],[])).
% 77.41/49.71 tff(586,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[585])).
% 77.41/49.71 tff(587,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(588,plain,
% 77.41/49.71 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite(((node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | node16(I0, I1, X)) <=> (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y))), ((((node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | node16(I0, I1, X)) | (~node19(I0, I1, X, Y))) <=> ((node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | (~node19(I0, I1, X, Y))))), rewrite(((node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | (~node19(I0, I1, X, Y))) <=> (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))), ((((node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | node16(I0, I1, X)) | (~node19(I0, I1, X, Y))) <=> (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))))),
% 77.41/49.71 inference(bind,[status(th)],[])).
% 77.41/49.71 tff(589,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (((node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | node16(I0, I1, X)) | (~node19(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[588])).
% 77.41/49.71 tff(590,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((node14(I0, I1, X, Y) | node15(I0, I1, X, Y)) | node16(I0, I1, X)) | (~node19(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_12')).
% 77.41/49.71 tff(591,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[590, 589])).
% 77.41/49.71 tff(592,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[591, 587])).
% 77.41/49.71 tff(593,plain,(
% 77.41/49.71 ![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(skolemize,[status(sab)],[592])).
% 77.41/49.71 tff(594,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[593, 586])).
% 77.41/49.71 tff(595,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(596,plain,
% 77.41/49.71 ((node16(c_e_h_3, c_f, s0) | node14(c_e_h_3, c_f, s0, s1) | node15(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1))) <=> (node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(597,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s0) | node14(c_e_h_3, c_f, s0, s1) | node15(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.71 inference(monotonicity,[status(thm)],[596])).
% 77.41/49.71 tff(598,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s0) | node14(c_e_h_3, c_f, s0, s1) | node15(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1))),
% 77.41/49.71 inference(transitivity,[status(thm)],[597, 595])).
% 77.41/49.71 tff(599,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s0) | node14(c_e_h_3, c_f, s0, s1) | node15(c_e_h_3, c_f, s0, s1) | (~node19(c_e_h_3, c_f, s0, s1)))),
% 77.41/49.71 inference(quant_inst,[status(thm)],[])).
% 77.41/49.71 tff(600,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | (~node19(c_e_h_3, c_f, s0, s1)) | node14(c_e_h_3, c_f, s0, s1)),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[599, 598])).
% 77.41/49.71 tff(601,plain,
% 77.41/49.71 (node15(c_e_h_3, c_f, s0, s1) | node16(c_e_h_3, c_f, s0) | node14(c_e_h_3, c_f, s0, s1)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[600, 594, 498])).
% 77.41/49.71 tff(602,plain,
% 77.41/49.71 (node15(c_e_h_3, c_f, s0, s1)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[601, 584, 564])).
% 77.41/49.71 tff(603,plain,
% 77.41/49.71 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X)) <=> ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X)))),
% 77.41/49.71 inference(bind,[status(th)],[])).
% 77.41/49.71 tff(604,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[603])).
% 77.41/49.71 tff(605,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(606,plain,
% 77.41/49.71 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node15(I0, I1, X, Y))) <=> ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X)))),
% 77.41/49.71 inference(bind,[status(th)],[])).
% 77.41/49.71 tff(607,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node15(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(quant_intro,[status(thm)],[606])).
% 77.41/49.71 tff(608,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X)) | (~node15(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_5')).
% 77.41/49.71 tff(609,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[608, 607])).
% 77.41/49.71 tff(610,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[609, 605])).
% 77.41/49.71 tff(611,plain,(
% 77.41/49.71 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(skolemize,[status(sab)],[610])).
% 77.41/49.71 tff(612,plain,
% 77.41/49.71 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[611, 604])).
% 77.41/49.71 tff(613,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | (~node15(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | (~node15(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(614,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | (~node15(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0))),
% 77.41/49.71 inference(quant_inst,[status(thm)],[])).
% 77.41/49.71 tff(615,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s1)) | (~node15(c_e_h_3, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_f, s0)),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[614, 613])).
% 77.41/49.71 tff(616,plain,
% 77.41/49.71 ($false),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[615, 612, 470, 138, 602])).
% 77.41/49.71 tff(617,plain,(~m_c_h_element_v_out(c_e_h_3, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.71 tff(618,plain,
% 77.41/49.71 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1) | m_c_h_element_v_out(c_e_h_3, c_f, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1) | m_c_h_element_v_out(c_e_h_3, c_f, s1))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(619,plain,
% 77.41/49.71 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1) | m_c_h_element_v_out(c_e_h_3, c_f, s1))),
% 77.41/49.71 inference(quant_inst,[status(thm)],[])).
% 77.41/49.71 tff(620,plain,
% 77.41/49.71 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1) | m_c_h_element_v_out(c_e_h_3, c_f, s1)),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[619, 618])).
% 77.41/49.71 tff(621,plain,
% 77.41/49.71 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1) | m_c_h_element_v_out(c_e_h_3, c_f, s1)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[620, 145])).
% 77.41/49.71 tff(622,plain,
% 77.41/49.71 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[621, 617])).
% 77.41/49.71 tff(623,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)), introduced(assumption)).
% 77.41/49.71 tff(624,assumption,(node11(c_e_h_3, c_m, s1, s2)), introduced(assumption)).
% 77.41/49.71 tff(625,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(626,plain,
% 77.41/49.71 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~node11(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2)))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(627,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~node11(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2))))),
% 77.41/49.71 inference(monotonicity,[status(thm)],[626])).
% 77.41/49.71 tff(628,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~node11(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2)))),
% 77.41/49.71 inference(transitivity,[status(thm)],[627, 625])).
% 77.41/49.71 tff(629,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~node11(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)))),
% 77.41/49.71 inference(quant_inst,[status(thm)],[])).
% 77.41/49.71 tff(630,plain,
% 77.41/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s1)) | (~node11(c_e_h_3, c_m, s1, s2))),
% 77.41/49.71 inference(modus_ponens,[status(thm)],[629, 628])).
% 77.41/49.71 tff(631,plain,
% 77.41/49.71 ($false),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[630, 208, 623, 217, 624])).
% 77.41/49.71 tff(632,plain,((~node11(c_e_h_3, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 77.41/49.71 tff(633,plain,
% 77.41/49.71 (~node11(c_e_h_3, c_m, s1, s2)),
% 77.41/49.71 inference(unit_resolution,[status(thm)],[632, 623])).
% 77.41/49.71 tff(634,plain,
% 77.41/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_3, c_m, s1, s2) | node11(c_e_h_3, c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_3, c_m, s1, s2) | node11(c_e_h_3, c_m, s1, s2))),
% 77.41/49.71 inference(rewrite,[status(thm)],[])).
% 77.41/49.71 tff(635,plain,
% 77.45/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_3, c_m, s1, s2) | node11(c_e_h_3, c_m, s1, s2))),
% 77.45/49.71 inference(quant_inst,[status(thm)],[])).
% 77.45/49.71 tff(636,plain,
% 77.45/49.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_3, c_m, s1, s2) | node11(c_e_h_3, c_m, s1, s2)),
% 77.45/49.71 inference(modus_ponens,[status(thm)],[635, 634])).
% 77.45/49.71 tff(637,plain,
% 77.45/49.71 (node10(c_e_h_3, c_m, s1, s2) | node11(c_e_h_3, c_m, s1, s2)),
% 77.45/49.71 inference(unit_resolution,[status(thm)],[636, 193, 265])).
% 77.45/49.71 tff(638,plain,
% 77.45/49.71 (node10(c_e_h_3, c_m, s1, s2)),
% 77.45/49.71 inference(unit_resolution,[status(thm)],[637, 633])).
% 77.45/49.71 tff(639,plain,
% 77.45/49.71 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.45/49.71 inference(rewrite,[status(thm)],[])).
% 77.45/49.71 tff(640,plain,
% 77.45/49.71 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 77.45/49.71 inference(quant_inst,[status(thm)],[])).
% 77.45/49.71 tff(641,plain,
% 77.45/49.71 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)),
% 77.45/49.71 inference(modus_ponens,[status(thm)],[640, 639])).
% 77.45/49.71 tff(642,plain,
% 77.45/49.71 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)),
% 77.45/49.71 inference(unit_resolution,[status(thm)],[641, 121])).
% 77.45/49.71 tff(643,plain,
% 77.45/49.71 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)),
% 77.45/49.71 inference(unit_resolution,[status(thm)],[642, 308])).
% 77.45/49.71 tff(644,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)), introduced(assumption)).
% 77.45/49.71 tff(645,plain,
% 77.45/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2)))),
% 77.45/49.71 inference(rewrite,[status(thm)],[])).
% 77.45/49.71 tff(646,plain,
% 77.45/49.71 (((~node10(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2)))),
% 77.45/49.71 inference(rewrite,[status(thm)],[])).
% 77.45/49.71 tff(647,plain,
% 77.45/49.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2))))),
% 77.45/49.72 inference(monotonicity,[status(thm)],[646])).
% 77.45/49.72 tff(648,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2)))),
% 77.45/49.72 inference(transitivity,[status(thm)],[647, 645])).
% 77.45/49.72 tff(649,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(650,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s1)) | (~node10(c_e_h_3, c_m, s1, s2))),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[649, 648])).
% 77.45/49.72 tff(651,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[650, 160, 644, 643, 623, 638])).
% 77.45/49.72 tff(652,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(653,plain,
% 77.45/49.72 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[652, 622])).
% 77.45/49.72 tff(654,plain,
% 77.45/49.72 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(655,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(656,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[655, 654])).
% 77.45/49.72 tff(657,plain,
% 77.45/49.72 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[656, 224, 653])).
% 77.45/49.72 tff(658,plain,
% 77.45/49.72 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(659,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(660,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[659, 658])).
% 77.45/49.72 tff(661,plain,
% 77.45/49.72 (~node9(c_e_h_3, c_n, s2)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[660, 238, 657])).
% 77.45/49.72 tff(662,assumption,(~node9(c_e_h_3, c_n, s2)), introduced(assumption)).
% 77.45/49.72 tff(663,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)), introduced(assumption)).
% 77.45/49.72 tff(664,assumption,(node11(c_e_h_3, c_n, s2, s3)), introduced(assumption)).
% 77.45/49.72 tff(665,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)), introduced(assumption)).
% 77.45/49.72 tff(666,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node11(c_e_h_3, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node11(c_e_h_3, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(667,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node11(c_e_h_3, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(668,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node11(c_e_h_3, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[667, 666])).
% 77.45/49.72 tff(669,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[668, 282, 663, 665, 664])).
% 77.45/49.72 tff(670,plain,((~node11(c_e_h_3, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(671,plain,
% 77.45/49.72 ((~node11(c_e_h_3, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[670, 313])).
% 77.45/49.72 tff(672,plain,
% 77.45/49.72 (~node11(c_e_h_3, c_n, s2, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[671, 663])).
% 77.45/49.72 tff(673,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_3, c_n, s2, s3) | node11(c_e_h_3, c_n, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_3, c_n, s2, s3) | node11(c_e_h_3, c_n, s2, s3))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(674,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_3, c_n, s2, s3) | node11(c_e_h_3, c_n, s2, s3))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(675,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_3, c_n, s2, s3) | node11(c_e_h_3, c_n, s2, s3)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[674, 673])).
% 77.45/49.72 tff(676,plain,
% 77.45/49.72 (node10(c_e_h_3, c_n, s2, s3) | node11(c_e_h_3, c_n, s2, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[675, 193, 463])).
% 77.45/49.72 tff(677,plain,
% 77.45/49.72 (node10(c_e_h_3, c_n, s2, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[676, 672])).
% 77.45/49.72 tff(678,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(679,plain,
% 77.45/49.72 ((node9(c_e_h_3, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node10(c_e_h_3, c_n, s2, s3))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(680,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node10(c_e_h_3, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3))))),
% 77.45/49.72 inference(monotonicity,[status(thm)],[679])).
% 77.45/49.72 tff(681,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node10(c_e_h_3, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3)))),
% 77.45/49.72 inference(transitivity,[status(thm)],[680, 678])).
% 77.45/49.72 tff(682,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | (~node10(c_e_h_3, c_n, s2, s3)))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(683,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2) | (~node10(c_e_h_3, c_n, s2, s3))),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[682, 681])).
% 77.45/49.72 tff(684,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[683, 252, 663, 677, 662])).
% 77.45/49.72 tff(685,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)) | node9(c_e_h_3, c_n, s2)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(686,plain,
% 77.45/49.72 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[685, 661])).
% 77.45/49.72 tff(687,plain,
% 77.45/49.72 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(688,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(689,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[688, 687])).
% 77.45/49.72 tff(690,plain,
% 77.45/49.72 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[689, 320, 686])).
% 77.45/49.72 tff(691,plain,
% 77.45/49.72 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s3))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(692,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s3))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(693,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s3)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[692, 691])).
% 77.45/49.72 tff(694,plain,
% 77.45/49.72 (~node20(c_e_h_3, c_q, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[693, 334, 690])).
% 77.45/49.72 tff(695,assumption,(~node20(c_e_h_3, c_q, s3)), introduced(assumption)).
% 77.45/49.72 tff(696,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s3)), introduced(assumption)).
% 77.45/49.72 tff(697,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.45/49.72 tff(698,assumption,(node22(c_e_h_3, c_q, s3, s4)), introduced(assumption)).
% 77.45/49.72 tff(699,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node22(c_e_h_3, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node22(c_e_h_3, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(700,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node22(c_e_h_3, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(701,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node22(c_e_h_3, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[700, 699])).
% 77.45/49.72 tff(702,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[701, 437, 697, 696, 698])).
% 77.45/49.72 tff(703,plain,((~node22(c_e_h_3, c_q, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(704,plain,
% 77.45/49.72 (~node22(c_e_h_3, c_q, s3, s4)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[703, 697, 696])).
% 77.45/49.72 tff(705,plain,
% 77.45/49.72 (succ(s3, s4) <=> succ(s3, s4)),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(706,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 77.45/49.72 tff(707,plain,
% 77.45/49.72 (succ(s3, s4)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[706, 705])).
% 77.45/49.72 tff(708,plain,
% 77.45/49.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(709,plain,
% 77.45/49.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(710,plain,
% 77.45/49.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[709, 708])).
% 77.45/49.72 tff(711,plain,
% 77.45/49.72 (trans(s3, s4)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[710, 707, 176])).
% 77.45/49.72 tff(712,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_q, s3, s4) | node22(c_e_h_3, c_q, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_q, s3, s4) | node22(c_e_h_3, c_q, s3, s4))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(713,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_q, s3, s4) | node22(c_e_h_3, c_q, s3, s4))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(714,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_q, s3, s4) | node22(c_e_h_3, c_q, s3, s4)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[713, 712])).
% 77.45/49.72 tff(715,plain,
% 77.45/49.72 (node21(c_e_h_3, c_q, s3, s4) | node22(c_e_h_3, c_q, s3, s4)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[714, 383, 711])).
% 77.45/49.72 tff(716,plain,
% 77.45/49.72 (node21(c_e_h_3, c_q, s3, s4)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[715, 704])).
% 77.45/49.72 tff(717,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(718,plain,
% 77.45/49.72 ((node20(c_e_h_3, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node21(c_e_h_3, c_q, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(719,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node21(c_e_h_3, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4))))),
% 77.45/49.72 inference(monotonicity,[status(thm)],[718])).
% 77.45/49.72 tff(720,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node21(c_e_h_3, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4)))),
% 77.45/49.72 inference(transitivity,[status(thm)],[719, 717])).
% 77.45/49.72 tff(721,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | (~node21(c_e_h_3, c_q, s3, s4)))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(722,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | (~node21(c_e_h_3, c_q, s3, s4))),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[721, 720])).
% 77.45/49.72 tff(723,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[722, 348, 697, 716, 695])).
% 77.45/49.72 tff(724,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | node20(c_e_h_3, c_q, s3) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(725,plain,
% 77.45/49.72 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[724, 694])).
% 77.45/49.72 tff(726,plain,
% 77.45/49.72 (~m_and_h_gate_v_out(c_e_h_3, c_q, s4)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[725, 469])).
% 77.45/49.72 tff(727,assumption,(m_and_h_gate_v_in2(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.45/49.72 tff(728,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.45/49.72 tff(729,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s1)), introduced(assumption)).
% 77.45/49.72 tff(730,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s1)), introduced(assumption)).
% 77.45/49.72 tff(731,assumption,(node21(c_e_h_3, c_i, s0, s1)), introduced(assumption)).
% 77.45/49.72 tff(732,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s0)), introduced(assumption)).
% 77.45/49.72 tff(733,plain,
% 77.45/49.72 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s0))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(734,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[733, 135, 732])).
% 77.45/49.72 tff(735,plain,(~m_c_h_element_v_out(c_e_h_3, c_h, s0)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(736,plain,
% 77.45/49.72 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s0)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s0)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(737,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s0)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(738,plain,
% 77.45/49.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s0)) | m_c_h_element_v_out(c_e_h_3, c_h, s0)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[737, 736])).
% 77.45/49.72 tff(739,plain,
% 77.45/49.72 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s0)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[738, 8, 735])).
% 77.45/49.72 tff(740,plain,
% 77.45/49.72 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s0))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(741,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s0))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(742,plain,
% 77.45/49.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s0)),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[741, 740])).
% 77.45/49.72 tff(743,plain,
% 77.45/49.72 (~node20(c_e_h_3, c_i, s0)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[742, 22, 739])).
% 77.45/49.72 tff(744,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node21(c_e_h_3, c_i, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node21(c_e_h_3, c_i, s0, s1)))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(745,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node21(c_e_h_3, c_i, s0, s1)))),
% 77.45/49.72 inference(quant_inst,[status(thm)],[])).
% 77.45/49.72 tff(746,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node21(c_e_h_3, c_i, s0, s1))),
% 77.45/49.72 inference(modus_ponens,[status(thm)],[745, 744])).
% 77.45/49.72 tff(747,plain,
% 77.45/49.72 ($false),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[746, 348, 743, 731, 730])).
% 77.45/49.72 tff(748,plain,((~node21(c_e_h_3, c_i, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1))), inference(lemma,lemma(discharge,[]))).
% 77.45/49.72 tff(749,plain,
% 77.45/49.72 (~node21(c_e_h_3, c_i, s0, s1)),
% 77.45/49.72 inference(unit_resolution,[status(thm)],[748, 730])).
% 77.45/49.72 tff(750,plain,
% 77.45/49.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_i, s0, s1) | node22(c_e_h_3, c_i, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_i, s0, s1) | node22(c_e_h_3, c_i, s0, s1))),
% 77.45/49.72 inference(rewrite,[status(thm)],[])).
% 77.45/49.72 tff(751,plain,
% 77.45/49.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_i, s0, s1) | node22(c_e_h_3, c_i, s0, s1))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(752,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_i, s0, s1) | node22(c_e_h_3, c_i, s0, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[751, 750])).
% 77.45/49.73 tff(753,plain,
% 77.45/49.73 (node21(c_e_h_3, c_i, s0, s1) | node22(c_e_h_3, c_i, s0, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[752, 383, 183])).
% 77.45/49.73 tff(754,plain,
% 77.45/49.73 (node22(c_e_h_3, c_i, s0, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[753, 749])).
% 77.45/49.73 tff(755,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node22(c_e_h_3, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node22(c_e_h_3, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(756,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node22(c_e_h_3, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(757,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s1)) | (~node22(c_e_h_3, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[756, 755])).
% 77.45/49.73 tff(758,plain,
% 77.45/49.73 ($false),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[757, 437, 754, 520, 730])).
% 77.45/49.73 tff(759,plain,(~m_and_h_gate_v_out(c_e_h_3, c_i, s1)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.73 tff(760,plain,
% 77.45/49.73 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(761,plain,
% 77.45/49.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(762,plain,
% 77.45/49.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[761, 760])).
% 77.45/49.73 tff(763,plain,
% 77.45/49.73 (~m_c_h_element_v_in2(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[762, 527, 759])).
% 77.45/49.73 tff(764,plain,
% 77.45/49.73 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | m_c_h_element_v_in2(c_e_h_3, c_f, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | m_c_h_element_v_in2(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(765,plain,
% 77.45/49.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | m_c_h_element_v_in2(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(766,plain,
% 77.45/49.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | m_c_h_element_v_in2(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[765, 764])).
% 77.45/49.73 tff(767,plain,
% 77.45/49.73 ((~node16(c_e_h_3, c_f, s1)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[766, 559, 763])).
% 77.45/49.73 tff(768,plain,
% 77.45/49.73 (~node16(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[767, 729])).
% 77.45/49.73 tff(769,assumption,(node15(c_e_h_3, c_f, s1, s2)), introduced(assumption)).
% 77.45/49.73 tff(770,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s1)), introduced(assumption)).
% 77.45/49.73 tff(771,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node15(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node15(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(772,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node15(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(773,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node15(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[772, 771])).
% 77.45/49.73 tff(774,plain,
% 77.45/49.73 ($false),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[773, 612, 770, 728, 769])).
% 77.45/49.73 tff(775,plain,((~node15(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 77.45/49.73 tff(776,plain,
% 77.45/49.73 ((~node15(c_e_h_3, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2))),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[775, 617])).
% 77.45/49.73 tff(777,plain,
% 77.45/49.73 (~node15(c_e_h_3, c_f, s1, s2)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[776, 728])).
% 77.45/49.73 tff(778,assumption,(node14(c_e_h_3, c_f, s1, s2)), introduced(assumption)).
% 77.45/49.73 tff(779,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(780,plain,
% 77.45/49.73 (((~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(781,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1)))),
% 77.45/49.73 inference(monotonicity,[status(thm)],[780])).
% 77.45/49.73 tff(782,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(transitivity,[status(thm)],[781, 779])).
% 77.45/49.73 tff(783,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(784,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node14(c_e_h_3, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[783, 782])).
% 77.45/49.73 tff(785,plain,
% 77.45/49.73 ($false),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[784, 575, 728, 778, 729])).
% 77.45/49.73 tff(786,plain,((~node14(c_e_h_3, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.73 tff(787,plain,
% 77.45/49.73 (~node14(c_e_h_3, c_f, s1, s2)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[786, 728, 729])).
% 77.45/49.73 tff(788,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_f, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_f, s1, s2))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(789,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_f, s1, s2))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(790,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_f, s1, s2)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[789, 788])).
% 77.45/49.73 tff(791,plain,
% 77.45/49.73 (node19(c_e_h_3, c_f, s1, s2)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[790, 494, 265])).
% 77.45/49.73 tff(792,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(793,plain,
% 77.45/49.73 ((node16(c_e_h_3, c_f, s1) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2))) <=> (node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(794,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s1) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1)))),
% 77.45/49.73 inference(monotonicity,[status(thm)],[793])).
% 77.45/49.73 tff(795,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s1) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(transitivity,[status(thm)],[794, 792])).
% 77.45/49.73 tff(796,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s1) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(797,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node16(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[796, 795])).
% 77.45/49.73 tff(798,plain,
% 77.45/49.73 (node14(c_e_h_3, c_f, s1, s2) | node15(c_e_h_3, c_f, s1, s2) | node16(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[797, 594, 791])).
% 77.45/49.73 tff(799,plain,
% 77.45/49.73 ($false),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[798, 787, 777, 768])).
% 77.45/49.73 tff(800,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.73 tff(801,plain,
% 77.45/49.73 (m_c_h_element_v_in1(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[800, 728])).
% 77.45/49.73 tff(802,plain,
% 77.45/49.73 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s1)) | m_c_h_element_v_in2(c_e_h_3, c_f, s1) | (~node17(c_e_h_3, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s1)) | m_c_h_element_v_in2(c_e_h_3, c_f, s1) | (~node17(c_e_h_3, c_f, s1)))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(803,plain,
% 77.45/49.73 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s1)) | m_c_h_element_v_in2(c_e_h_3, c_f, s1) | (~node17(c_e_h_3, c_f, s1)))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(804,plain,
% 77.45/49.73 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s1)) | m_c_h_element_v_in2(c_e_h_3, c_f, s1) | (~node17(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[803, 802])).
% 77.45/49.73 tff(805,plain,
% 77.45/49.73 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s1)) | (~node17(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[804, 541, 763])).
% 77.45/49.73 tff(806,plain,
% 77.45/49.73 (~node17(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[805, 801])).
% 77.45/49.73 tff(807,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(808,plain,
% 77.45/49.73 ((node17(c_e_h_3, c_f, s1) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2))) <=> (node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(809,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s1) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1)))),
% 77.45/49.73 inference(monotonicity,[status(thm)],[808])).
% 77.45/49.73 tff(810,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s1) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1))),
% 77.45/49.73 inference(transitivity,[status(thm)],[809, 807])).
% 77.45/49.73 tff(811,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s1) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(812,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s1, s2) | (~node19(c_e_h_3, c_f, s1, s2)) | node17(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[811, 810])).
% 77.45/49.73 tff(813,plain,
% 77.45/49.73 (node18(c_e_h_3, c_f, s1, s2) | node17(c_e_h_3, c_f, s1)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[812, 508, 791])).
% 77.45/49.73 tff(814,plain,
% 77.45/49.73 (node18(c_e_h_3, c_f, s1, s2)),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[813, 806])).
% 77.45/49.73 tff(815,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(816,plain,
% 77.45/49.73 (((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~node18(c_e_h_3, c_f, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(rewrite,[status(thm)],[])).
% 77.45/49.73 tff(817,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~node18(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2))))),
% 77.45/49.73 inference(monotonicity,[status(thm)],[816])).
% 77.45/49.73 tff(818,plain,
% 77.45/49.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~node18(c_e_h_3, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(transitivity,[status(thm)],[817, 815])).
% 77.45/49.73 tff(819,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~node18(c_e_h_3, c_f, s1, s2)))),
% 77.45/49.73 inference(quant_inst,[status(thm)],[])).
% 77.45/49.73 tff(820,plain,
% 77.45/49.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s1) | (~m_c_h_element_v_out(c_e_h_3, c_f, s2)) | (~node18(c_e_h_3, c_f, s1, s2))),
% 77.45/49.73 inference(modus_ponens,[status(thm)],[819, 818])).
% 77.45/49.73 tff(821,plain,
% 77.45/49.73 ($false),
% 77.45/49.73 inference(unit_resolution,[status(thm)],[820, 481, 617, 728, 814])).
% 77.45/49.73 tff(822,plain,(~m_c_h_element_v_out(c_e_h_3, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 77.45/49.73 tff(823,plain,
% 77.45/49.73 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2) | m_c_h_element_v_out(c_e_h_3, c_f, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2) | m_c_h_element_v_out(c_e_h_3, c_f, s2))),
% 77.45/49.74 inference(rewrite,[status(thm)],[])).
% 77.45/49.74 tff(824,plain,
% 77.45/49.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2) | m_c_h_element_v_out(c_e_h_3, c_f, s2))),
% 77.45/49.74 inference(quant_inst,[status(thm)],[])).
% 77.45/49.74 tff(825,plain,
% 77.45/49.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2) | m_c_h_element_v_out(c_e_h_3, c_f, s2)),
% 77.45/49.74 inference(modus_ponens,[status(thm)],[824, 823])).
% 77.45/49.74 tff(826,plain,
% 77.45/49.74 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2) | m_c_h_element_v_out(c_e_h_3, c_f, s2)),
% 77.45/49.74 inference(unit_resolution,[status(thm)],[825, 145])).
% 77.45/49.74 tff(827,plain,
% 77.45/49.74 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)),
% 77.45/49.74 inference(unit_resolution,[status(thm)],[826, 822])).
% 77.45/49.74 tff(828,plain,
% 77.45/49.74 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.45/49.74 inference(rewrite,[status(thm)],[])).
% 77.45/49.74 tff(829,plain,
% 77.45/49.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2))),
% 77.45/49.74 inference(quant_inst,[status(thm)],[])).
% 77.45/49.74 tff(830,plain,
% 77.45/49.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)),
% 77.45/49.74 inference(modus_ponens,[status(thm)],[829, 828])).
% 77.45/49.74 tff(831,plain,
% 77.45/49.74 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s2)),
% 77.45/49.74 inference(unit_resolution,[status(thm)],[830, 121])).
% 77.45/49.74 tff(832,plain,
% 77.45/49.74 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)),
% 77.45/49.74 inference(unit_resolution,[status(thm)],[831, 313])).
% 77.45/49.74 tff(833,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)), introduced(assumption)).
% 77.45/49.74 tff(834,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)), introduced(assumption)).
% 77.45/49.74 tff(835,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)), introduced(assumption)).
% 77.45/49.74 tff(836,assumption,(node10(c_e_h_3, c_m, s2, s3)), introduced(assumption)).
% 77.45/49.74 tff(837,plain,
% 77.45/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(838,plain,
% 77.48/49.74 (((~node10(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(839,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3))))),
% 77.48/49.74 inference(monotonicity,[status(thm)],[838])).
% 77.48/49.74 tff(840,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(transitivity,[status(thm)],[839, 837])).
% 77.48/49.74 tff(841,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(842,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~node10(c_e_h_3, c_m, s2, s3))),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[841, 840])).
% 77.48/49.74 tff(843,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[842, 160, 835, 834, 833, 836])).
% 77.48/49.74 tff(844,plain,((~node10(c_e_h_3, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(845,plain,
% 77.48/49.74 (~node10(c_e_h_3, c_m, s2, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[844, 835, 834, 833])).
% 77.48/49.74 tff(846,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)), introduced(assumption)).
% 77.48/49.74 tff(847,assumption,(node11(c_e_h_3, c_m, s2, s3)), introduced(assumption)).
% 77.48/49.74 tff(848,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(849,plain,
% 77.48/49.74 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~node11(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(850,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~node11(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3))))),
% 77.48/49.74 inference(monotonicity,[status(thm)],[849])).
% 77.48/49.74 tff(851,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~node11(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3)))),
% 77.48/49.74 inference(transitivity,[status(thm)],[850, 848])).
% 77.48/49.74 tff(852,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~node11(c_e_h_3, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(853,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~node11(c_e_h_3, c_m, s2, s3))),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[852, 851])).
% 77.48/49.74 tff(854,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[853, 208, 835, 846, 847])).
% 77.48/49.74 tff(855,plain,((~node11(c_e_h_3, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(856,plain,
% 77.48/49.74 (~node11(c_e_h_3, c_m, s2, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[855, 835, 846])).
% 77.48/49.74 tff(857,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_3, c_m, s2, s3) | node11(c_e_h_3, c_m, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_3, c_m, s2, s3) | node11(c_e_h_3, c_m, s2, s3))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(858,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_3, c_m, s2, s3) | node11(c_e_h_3, c_m, s2, s3))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(859,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_3, c_m, s2, s3) | node11(c_e_h_3, c_m, s2, s3)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[858, 857])).
% 77.48/49.74 tff(860,plain,
% 77.48/49.74 (node10(c_e_h_3, c_m, s2, s3) | node11(c_e_h_3, c_m, s2, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[859, 193, 463])).
% 77.48/49.74 tff(861,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[860, 856, 845])).
% 77.48/49.74 tff(862,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(863,plain,
% 77.48/49.74 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2))),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[862, 832])).
% 77.48/49.74 tff(864,plain,
% 77.48/49.74 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2))),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[863, 653])).
% 77.48/49.74 tff(865,plain,
% 77.48/49.74 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[864, 827])).
% 77.48/49.74 tff(866,plain,
% 77.48/49.74 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(867,plain,
% 77.48/49.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(868,plain,
% 77.48/49.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[867, 866])).
% 77.48/49.74 tff(869,plain,
% 77.48/49.74 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[868, 224, 865])).
% 77.48/49.74 tff(870,plain,
% 77.48/49.74 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(871,plain,
% 77.48/49.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(872,plain,
% 77.48/49.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[871, 870])).
% 77.48/49.74 tff(873,plain,
% 77.48/49.74 (~node9(c_e_h_3, c_n, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[872, 238, 869])).
% 77.48/49.74 tff(874,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)), introduced(assumption)).
% 77.48/49.74 tff(875,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.74 tff(876,assumption,(node11(c_e_h_3, c_n, s3, s4)), introduced(assumption)).
% 77.48/49.74 tff(877,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node11(c_e_h_3, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node11(c_e_h_3, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(878,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node11(c_e_h_3, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(879,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node11(c_e_h_3, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[878, 877])).
% 77.48/49.74 tff(880,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[879, 282, 874, 876, 875])).
% 77.48/49.74 tff(881,plain,((~node11(c_e_h_3, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(882,plain,
% 77.48/49.74 (~node11(c_e_h_3, c_n, s3, s4)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[881, 875, 874])).
% 77.48/49.74 tff(883,assumption,(~node9(c_e_h_3, c_n, s3)), introduced(assumption)).
% 77.48/49.74 tff(884,assumption,(node10(c_e_h_3, c_n, s3, s4)), introduced(assumption)).
% 77.48/49.74 tff(885,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node10(c_e_h_3, c_n, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node10(c_e_h_3, c_n, s3, s4)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(886,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node10(c_e_h_3, c_n, s3, s4)))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(887,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | (~node10(c_e_h_3, c_n, s3, s4))),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[886, 885])).
% 77.48/49.74 tff(888,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[887, 252, 884, 875, 883])).
% 77.48/49.74 tff(889,plain,((~node10(c_e_h_3, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | node9(c_e_h_3, c_n, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(890,plain,
% 77.48/49.74 (~node10(c_e_h_3, c_n, s3, s4)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[889, 875, 883])).
% 77.48/49.74 tff(891,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_3, c_n, s3, s4) | node11(c_e_h_3, c_n, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_3, c_n, s3, s4) | node11(c_e_h_3, c_n, s3, s4))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(892,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_3, c_n, s3, s4) | node11(c_e_h_3, c_n, s3, s4))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(893,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_3, c_n, s3, s4) | node11(c_e_h_3, c_n, s3, s4)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[892, 891])).
% 77.48/49.74 tff(894,plain,
% 77.48/49.74 (node10(c_e_h_3, c_n, s3, s4) | node11(c_e_h_3, c_n, s3, s4)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[893, 193, 711])).
% 77.48/49.74 tff(895,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[894, 890, 882])).
% 77.48/49.74 tff(896,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | node9(c_e_h_3, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(897,plain,
% 77.48/49.74 ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)) | node9(c_e_h_3, c_n, s3)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[896, 686])).
% 77.48/49.74 tff(898,plain,
% 77.48/49.74 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[897, 873])).
% 77.48/49.74 tff(899,plain,
% 77.48/49.74 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(900,plain,
% 77.48/49.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(901,plain,
% 77.48/49.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[900, 899])).
% 77.48/49.74 tff(902,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[901, 320, 898, 727])).
% 77.48/49.74 tff(903,plain,(~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(904,assumption,(~m_and_h_gate_v_in2(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.48/49.74 tff(905,assumption,(node20(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.48/49.74 tff(906,plain,
% 77.48/49.74 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s4))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(907,plain,
% 77.48/49.74 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s4))),
% 77.48/49.74 inference(quant_inst,[status(thm)],[])).
% 77.48/49.74 tff(908,plain,
% 77.48/49.74 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s4)),
% 77.48/49.74 inference(modus_ponens,[status(thm)],[907, 906])).
% 77.48/49.74 tff(909,plain,
% 77.48/49.74 ($false),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[908, 334, 905, 904])).
% 77.48/49.74 tff(910,plain,(m_and_h_gate_v_in2(c_e_h_3, c_q, s4) | (~node20(c_e_h_3, c_q, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.74 tff(911,plain,
% 77.48/49.74 (~node20(c_e_h_3, c_q, s4)),
% 77.48/49.74 inference(unit_resolution,[status(thm)],[910, 903])).
% 77.48/49.74 tff(912,assumption,(~node20(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.48/49.74 tff(913,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s5)), introduced(assumption)).
% 77.48/49.74 tff(914,assumption,(node21(c_e_h_3, c_q, s4, s5)), introduced(assumption)).
% 77.48/49.74 tff(915,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(916,plain,
% 77.48/49.74 ((node20(c_e_h_3, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node21(c_e_h_3, c_q, s4, s5))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5)))),
% 77.48/49.74 inference(rewrite,[status(thm)],[])).
% 77.48/49.74 tff(917,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node21(c_e_h_3, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5))))),
% 77.48/49.74 inference(monotonicity,[status(thm)],[916])).
% 77.48/49.74 tff(918,plain,
% 77.48/49.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node21(c_e_h_3, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5)))),
% 77.48/49.74 inference(transitivity,[status(thm)],[917, 915])).
% 77.48/49.74 tff(919,plain,
% 77.48/49.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node21(c_e_h_3, c_q, s4, s5)))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(920,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4) | (~node21(c_e_h_3, c_q, s4, s5))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[919, 918])).
% 77.48/49.75 tff(921,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[920, 348, 913, 914, 912])).
% 77.48/49.75 tff(922,plain,((~node21(c_e_h_3, c_q, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | node20(c_e_h_3, c_q, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(923,plain,
% 77.48/49.75 (~node21(c_e_h_3, c_q, s4, s5)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[922, 913, 912])).
% 77.48/49.75 tff(924,plain,
% 77.48/49.75 (succ(s4, s5) <=> succ(s4, s5)),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(925,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 77.48/49.75 tff(926,plain,
% 77.48/49.75 (succ(s4, s5)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[925, 924])).
% 77.48/49.75 tff(927,plain,
% 77.48/49.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(928,plain,
% 77.48/49.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(929,plain,
% 77.48/49.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[928, 927])).
% 77.48/49.75 tff(930,plain,
% 77.48/49.75 (trans(s4, s5)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[929, 926, 176])).
% 77.48/49.75 tff(931,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_q, s4, s5) | node22(c_e_h_3, c_q, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_q, s4, s5) | node22(c_e_h_3, c_q, s4, s5))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(932,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_q, s4, s5) | node22(c_e_h_3, c_q, s4, s5))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(933,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_q, s4, s5) | node22(c_e_h_3, c_q, s4, s5)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[932, 931])).
% 77.48/49.75 tff(934,plain,
% 77.48/49.75 (node21(c_e_h_3, c_q, s4, s5) | node22(c_e_h_3, c_q, s4, s5)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[933, 383, 930])).
% 77.48/49.75 tff(935,plain,
% 77.48/49.75 (node22(c_e_h_3, c_q, s4, s5)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[934, 923])).
% 77.48/49.75 tff(936,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s4)), introduced(assumption)).
% 77.48/49.75 tff(937,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node22(c_e_h_3, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node22(c_e_h_3, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(938,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node22(c_e_h_3, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(939,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | (~node22(c_e_h_3, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[938, 937])).
% 77.48/49.75 tff(940,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[939, 437, 936, 913, 935])).
% 77.48/49.75 tff(941,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4) | node20(c_e_h_3, c_q, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(942,plain,
% 77.48/49.75 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[941, 911])).
% 77.48/49.75 tff(943,plain,
% 77.48/49.75 (~m_and_h_gate_v_out(c_e_h_3, c_q, s5)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[942, 726])).
% 77.48/49.75 tff(944,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s0)), introduced(assumption)).
% 77.48/49.75 tff(945,plain,
% 77.48/49.75 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(946,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[945, 424, 944])).
% 77.48/49.75 tff(947,plain,(~m_and_h_gate_v_out(c_e_h_3, c_d, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(948,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s1)), introduced(assumption)).
% 77.48/49.75 tff(949,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s0)), introduced(assumption)).
% 77.48/49.75 tff(950,plain,
% 77.48/49.75 (^[I0: $i, I1: $i] : refl((~m_mutex_h_half_v_out(I0, I1, s0)) <=> (~m_mutex_h_half_v_out(I0, I1, s0)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(951,plain,
% 77.48/49.75 (![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[950])).
% 77.48/49.75 tff(952,plain,
% 77.48/49.75 (![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(953,axiom,(![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_1')).
% 77.48/49.75 tff(954,plain,
% 77.48/49.75 (![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[953, 952])).
% 77.48/49.75 tff(955,plain,(
% 77.48/49.75 ![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))),
% 77.48/49.75 inference(skolemize,[status(sab)],[954])).
% 77.48/49.75 tff(956,plain,
% 77.48/49.75 (![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[955, 951])).
% 77.48/49.75 tff(957,plain,
% 77.48/49.75 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(958,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[957, 956, 949])).
% 77.48/49.75 tff(959,plain,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(960,plain,
% 77.48/49.75 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X)) <=> ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(961,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[960])).
% 77.48/49.75 tff(962,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(963,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_16')).
% 77.48/49.75 tff(964,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[963, 962])).
% 77.48/49.75 tff(965,plain,(
% 77.48/49.75 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))),
% 77.48/49.75 inference(skolemize,[status(sab)],[964])).
% 77.48/49.75 tff(966,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[965, 961])).
% 77.48/49.75 tff(967,plain,
% 77.48/49.75 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(968,plain,
% 77.48/49.75 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(969,plain,
% 77.48/49.75 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[968, 967])).
% 77.48/49.75 tff(970,plain,
% 77.48/49.75 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s0)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[969, 966, 959])).
% 77.48/49.75 tff(971,plain,
% 77.48/49.75 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(972,plain,
% 77.48/49.75 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(973,plain,
% 77.48/49.75 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[972, 971])).
% 77.48/49.75 tff(974,plain,
% 77.48/49.75 (~node20(c_e_h_3, c_d, s0)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[973, 22, 970])).
% 77.48/49.75 tff(975,assumption,(node21(c_e_h_3, c_d, s0, s1)), introduced(assumption)).
% 77.48/49.75 tff(976,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node21(c_e_h_3, c_d, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node21(c_e_h_3, c_d, s0, s1)))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(977,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node21(c_e_h_3, c_d, s0, s1)))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(978,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node21(c_e_h_3, c_d, s0, s1))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[977, 976])).
% 77.48/49.75 tff(979,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[978, 348, 975, 974, 948])).
% 77.48/49.75 tff(980,plain,((~node21(c_e_h_3, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(981,plain,
% 77.48/49.75 (~node21(c_e_h_3, c_d, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[980, 948])).
% 77.48/49.75 tff(982,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_d, s0, s1) | node22(c_e_h_3, c_d, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_d, s0, s1) | node22(c_e_h_3, c_d, s0, s1))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(983,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_d, s0, s1) | node22(c_e_h_3, c_d, s0, s1))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(984,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_d, s0, s1) | node22(c_e_h_3, c_d, s0, s1)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[983, 982])).
% 77.48/49.75 tff(985,plain,
% 77.48/49.75 (node21(c_e_h_3, c_d, s0, s1) | node22(c_e_h_3, c_d, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[984, 383, 183])).
% 77.48/49.75 tff(986,plain,
% 77.48/49.75 (node22(c_e_h_3, c_d, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[985, 981])).
% 77.48/49.75 tff(987,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node22(c_e_h_3, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_d, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node22(c_e_h_3, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_d, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(988,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node22(c_e_h_3, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_d, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(989,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s1)) | (~node22(c_e_h_3, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_d, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[988, 987])).
% 77.48/49.75 tff(990,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[989, 437, 986, 948, 947])).
% 77.48/49.75 tff(991,plain,(~m_and_h_gate_v_out(c_e_h_3, c_d, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(992,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s2)), introduced(assumption)).
% 77.48/49.75 tff(993,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s1)), introduced(assumption)).
% 77.48/49.75 tff(994,assumption,(node13(c_e_h_3, c_b, s0, s1)), introduced(assumption)).
% 77.48/49.75 tff(995,plain,
% 77.48/49.75 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X)) <=> ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(996,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[995])).
% 77.48/49.75 tff(997,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(998,plain,
% 77.48/49.75 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_out(I0, I1, X)) | (~node13(I0, I1, X, Y))) <=> ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(999,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_out(I0, I1, X)) | (~node13(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[998])).
% 77.48/49.75 tff(1000,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_out(I0, I1, X)) | (~node13(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_5')).
% 77.48/49.75 tff(1001,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1000, 999])).
% 77.48/49.75 tff(1002,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1001, 997])).
% 77.48/49.75 tff(1003,plain,(
% 77.48/49.75 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(skolemize,[status(sab)],[1002])).
% 77.48/49.75 tff(1004,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1003, 996])).
% 77.48/49.75 tff(1005,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node13(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node13(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1006,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node13(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(1007,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node13(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 77.48/49.75 tff(1008,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1007, 1004, 994, 993, 959])).
% 77.48/49.75 tff(1009,plain,((~node13(c_e_h_3, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(1010,plain,
% 77.48/49.75 (~node13(c_e_h_3, c_b, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1009, 993])).
% 77.48/49.75 tff(1011,plain,
% 77.48/49.75 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) <=> ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1012,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1011])).
% 77.48/49.75 tff(1013,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1014,plain,
% 77.48/49.75 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) | (~trans(X, Y))) <=> ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1015,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1014])).
% 77.48/49.75 tff(1016,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node12(I0, I1, X, Y) | node13(I0, I1, X, Y)) | (~trans(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_6')).
% 77.48/49.75 tff(1017,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 77.48/49.75 tff(1018,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1017, 1013])).
% 77.48/49.75 tff(1019,plain,(
% 77.48/49.75 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(skolemize,[status(sab)],[1018])).
% 77.48/49.75 tff(1020,plain,
% 77.48/49.75 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1019, 1012])).
% 77.48/49.75 tff(1021,plain,
% 77.48/49.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_3, c_b, s0, s1) | node13(c_e_h_3, c_b, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_3, c_b, s0, s1) | node13(c_e_h_3, c_b, s0, s1))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1022,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_3, c_b, s0, s1) | node13(c_e_h_3, c_b, s0, s1))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(1023,plain,
% 77.48/49.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_3, c_b, s0, s1) | node13(c_e_h_3, c_b, s0, s1)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 77.48/49.75 tff(1024,plain,
% 77.48/49.75 (node12(c_e_h_3, c_b, s0, s1) | node13(c_e_h_3, c_b, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1023, 1020, 183])).
% 77.48/49.75 tff(1025,plain,
% 77.48/49.75 (node12(c_e_h_3, c_b, s0, s1)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1024, 1010])).
% 77.48/49.75 tff(1026,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s0)), introduced(assumption)).
% 77.48/49.75 tff(1027,plain,
% 77.48/49.75 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(1028,plain,
% 77.48/49.75 ($false),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1027, 424, 1026])).
% 77.48/49.75 tff(1029,plain,(~m_and_h_gate_v_out(c_e_h_1, c_p, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.75 tff(1030,plain,
% 77.48/49.75 (^[I0: $i, X: $i] : refl(((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X)) <=> ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1031,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1030])).
% 77.48/49.75 tff(1032,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1033,axiom,(![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_76')).
% 77.48/49.75 tff(1034,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 77.48/49.75 tff(1035,plain,(
% 77.48/49.75 ![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))),
% 77.48/49.75 inference(skolemize,[status(sab)],[1034])).
% 77.48/49.75 tff(1036,plain,
% 77.48/49.75 (![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1035, 1031])).
% 77.48/49.75 tff(1037,plain,
% 77.48/49.75 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1038,plain,
% 77.48/49.75 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(1039,plain,
% 77.48/49.75 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 77.48/49.75 tff(1040,plain,
% 77.48/49.75 (~m_cell_v_req(c_e_h_1, s0)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1039, 1036, 1029])).
% 77.48/49.75 tff(1041,plain,
% 77.48/49.75 (^[I0: $i, X: $i, J0: $i] : refl(((~m_cell_v_left(I0, J0)) | node1(I0, J0, X)) <=> ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X)))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1042,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1041])).
% 77.48/49.75 tff(1043,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1044,axiom,(![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_7')).
% 77.48/49.75 tff(1045,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 77.48/49.75 tff(1046,plain,(
% 77.48/49.75 ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))),
% 77.48/49.75 inference(skolemize,[status(sab)],[1045])).
% 77.48/49.75 tff(1047,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1046, 1042])).
% 77.48/49.75 tff(1048,plain,
% 77.48/49.75 (m_cell_v_left(c_e_h_3, c_e_h_1) <=> m_cell_v_left(c_e_h_3, c_e_h_1)),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1049,axiom,(m_cell_v_left(c_e_h_3, c_e_h_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 77.48/49.75 tff(1050,plain,
% 77.48/49.75 (m_cell_v_left(c_e_h_3, c_e_h_1)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 77.48/49.75 tff(1051,plain,
% 77.48/49.75 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s0))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1052,plain,
% 77.48/49.75 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s0))),
% 77.48/49.75 inference(quant_inst,[status(thm)],[])).
% 77.48/49.75 tff(1053,plain,
% 77.48/49.75 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s0)),
% 77.48/49.75 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 77.48/49.75 tff(1054,plain,
% 77.48/49.75 (node1(c_e_h_3, c_e_h_1, s0)),
% 77.48/49.75 inference(unit_resolution,[status(thm)],[1053, 1050, 1047])).
% 77.48/49.75 tff(1055,plain,
% 77.48/49.75 (^[I0: $i, X: $i, J0: $i] : refl(((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X))) <=> ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X))))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1056,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1055])).
% 77.48/49.75 tff(1057,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.75 inference(rewrite,[status(thm)],[])).
% 77.48/49.75 tff(1058,plain,
% 77.48/49.75 (^[I0: $i, X: $i, J0: $i] : rewrite((((~m_mutex_h_half_v_inp(I0, c_b, X)) | m_cell_v_req(J0, X)) | (~node1(I0, J0, X))) <=> ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X))))),
% 77.48/49.75 inference(bind,[status(th)],[])).
% 77.48/49.75 tff(1059,plain,
% 77.48/49.75 (![I0: $i, X: $i, J0: $i] : (((~m_mutex_h_half_v_inp(I0, c_b, X)) | m_cell_v_req(J0, X)) | (~node1(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.75 inference(quant_intro,[status(thm)],[1058])).
% 77.48/49.76 tff(1060,axiom,(![I0: $i, X: $i, J0: $i] : (((~m_mutex_h_half_v_inp(I0, c_b, X)) | m_cell_v_req(J0, X)) | (~node1(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_6')).
% 77.48/49.76 tff(1061,plain,
% 77.48/49.76 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1060, 1059])).
% 77.48/49.76 tff(1062,plain,
% 77.48/49.76 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1061, 1057])).
% 77.48/49.76 tff(1063,plain,(
% 77.48/49.76 ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.76 inference(skolemize,[status(sab)],[1062])).
% 77.48/49.76 tff(1064,plain,
% 77.48/49.76 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1063, 1056])).
% 77.48/49.76 tff(1065,plain,
% 77.48/49.76 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1066,plain,
% 77.48/49.76 (((~node1(c_e_h_3, c_e_h_1, s0)) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0))) <=> (m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1067,plain,
% 77.48/49.76 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s0)) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0))))),
% 77.48/49.76 inference(monotonicity,[status(thm)],[1066])).
% 77.48/49.76 tff(1068,plain,
% 77.48/49.76 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s0)) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0)))),
% 77.48/49.76 inference(transitivity,[status(thm)],[1067, 1065])).
% 77.48/49.76 tff(1069,plain,
% 77.48/49.76 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s0)) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1070,plain,
% 77.48/49.76 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)) | (~node1(c_e_h_3, c_e_h_1, s0))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 77.48/49.76 tff(1071,plain,
% 77.48/49.76 (m_cell_v_req(c_e_h_1, s0) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0))),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1070, 1064, 1054])).
% 77.48/49.76 tff(1072,plain,
% 77.48/49.76 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s0)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1071, 1040])).
% 77.48/49.76 tff(1073,plain,
% 77.48/49.76 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y))) <=> ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y))))),
% 77.48/49.76 inference(bind,[status(th)],[])).
% 77.48/49.76 tff(1074,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(quant_intro,[status(thm)],[1073])).
% 77.48/49.76 tff(1075,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1076,plain,
% 77.48/49.76 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_inp(I0, I1, X)) | (~node12(I0, I1, X, Y))) <=> ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y))))),
% 77.48/49.76 inference(bind,[status(th)],[])).
% 77.48/49.76 tff(1077,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_inp(I0, I1, X)) | (~node12(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(quant_intro,[status(thm)],[1076])).
% 77.48/49.76 tff(1078,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_mutex_h_half_v_out(I0, I1, Y)) | m_mutex_h_half_v_inp(I0, I1, X)) | (~node12(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_3')).
% 77.48/49.76 tff(1079,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 77.48/49.76 tff(1080,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1079, 1075])).
% 77.48/49.76 tff(1081,plain,(
% 77.48/49.76 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(skolemize,[status(sab)],[1080])).
% 77.48/49.76 tff(1082,plain,
% 77.48/49.76 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1081, 1074])).
% 77.48/49.76 tff(1083,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1084,plain,
% 77.48/49.76 (((~node12(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1085,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1))))),
% 77.48/49.76 inference(monotonicity,[status(thm)],[1084])).
% 77.48/49.76 tff(1086,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1)))),
% 77.48/49.76 inference(transitivity,[status(thm)],[1085, 1083])).
% 77.48/49.76 tff(1087,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1088,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)) | (~node12(c_e_h_3, c_b, s0, s1))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 77.48/49.76 tff(1089,plain,
% 77.48/49.76 ($false),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1088, 1082, 1072, 1025, 993])).
% 77.48/49.76 tff(1090,plain,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.76 tff(1091,plain,
% 77.48/49.76 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1092,plain,
% 77.48/49.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1093,plain,
% 77.48/49.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 77.48/49.76 tff(1094,plain,
% 77.48/49.76 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s1)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1093, 966, 1090])).
% 77.48/49.76 tff(1095,plain,
% 77.48/49.76 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s1))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1096,plain,
% 77.48/49.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s1))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1097,plain,
% 77.48/49.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s1)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 77.48/49.76 tff(1098,plain,
% 77.48/49.76 (~node20(c_e_h_3, c_d, s1)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1097, 22, 1094])).
% 77.48/49.76 tff(1099,assumption,(~node20(c_e_h_3, c_d, s1)), introduced(assumption)).
% 77.48/49.76 tff(1100,assumption,(node21(c_e_h_3, c_d, s1, s2)), introduced(assumption)).
% 77.48/49.76 tff(1101,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node21(c_e_h_3, c_d, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node21(c_e_h_3, c_d, s1, s2)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1102,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node21(c_e_h_3, c_d, s1, s2)))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1103,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node21(c_e_h_3, c_d, s1, s2))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 77.48/49.76 tff(1104,plain,
% 77.48/49.76 ($false),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1103, 348, 992, 1100, 1099])).
% 77.48/49.76 tff(1105,plain,((~node21(c_e_h_3, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | node20(c_e_h_3, c_d, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.76 tff(1106,plain,
% 77.48/49.76 ((~node21(c_e_h_3, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1105, 1098])).
% 77.48/49.76 tff(1107,plain,
% 77.48/49.76 (~node21(c_e_h_3, c_d, s1, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1106, 992])).
% 77.48/49.76 tff(1108,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_d, s1, s2) | node22(c_e_h_3, c_d, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_d, s1, s2) | node22(c_e_h_3, c_d, s1, s2))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1109,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_d, s1, s2) | node22(c_e_h_3, c_d, s1, s2))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1110,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_d, s1, s2) | node22(c_e_h_3, c_d, s1, s2)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 77.48/49.76 tff(1111,plain,
% 77.48/49.76 (node21(c_e_h_3, c_d, s1, s2) | node22(c_e_h_3, c_d, s1, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1110, 383, 265])).
% 77.48/49.76 tff(1112,plain,
% 77.48/49.76 (node22(c_e_h_3, c_d, s1, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1111, 1107])).
% 77.48/49.76 tff(1113,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node22(c_e_h_3, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node22(c_e_h_3, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s1))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1114,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node22(c_e_h_3, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s1))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1115,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s2)) | (~node22(c_e_h_3, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s1)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 77.48/49.76 tff(1116,plain,
% 77.48/49.76 ($false),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1115, 437, 992, 1112, 991])).
% 77.48/49.76 tff(1117,plain,(~m_and_h_gate_v_out(c_e_h_3, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.76 tff(1118,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s2)), introduced(assumption)).
% 77.48/49.76 tff(1119,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.48/49.76 tff(1120,plain,
% 77.48/49.76 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X)))),
% 77.48/49.76 inference(bind,[status(th)],[])).
% 77.48/49.76 tff(1121,plain,
% 77.48/49.76 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.48/49.76 inference(quant_intro,[status(thm)],[1120])).
% 77.48/49.76 tff(1122,plain,
% 77.48/49.76 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1123,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_24')).
% 77.48/49.76 tff(1124,plain,
% 77.48/49.76 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 77.48/49.76 tff(1125,plain,(
% 77.48/49.76 ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.48/49.76 inference(skolemize,[status(sab)],[1124])).
% 77.48/49.76 tff(1126,plain,
% 77.48/49.76 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1125, 1121])).
% 77.48/49.76 tff(1127,plain,
% 77.48/49.76 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1128,plain,
% 77.48/49.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1129,plain,
% 77.48/49.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1128, 1127])).
% 77.48/49.76 tff(1130,plain,
% 77.48/49.76 ($false),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1129, 1126, 1119, 1118])).
% 77.48/49.76 tff(1131,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.76 tff(1132,plain,
% 77.48/49.76 (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1131, 1117])).
% 77.48/49.76 tff(1133,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.48/49.76 tff(1134,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.76 tff(1135,assumption,(~node14(c_e_h_3, c_f, s2, s3)), introduced(assumption)).
% 77.48/49.76 tff(1136,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.48/49.76 tff(1137,assumption,(node15(c_e_h_3, c_f, s2, s3)), introduced(assumption)).
% 77.48/49.76 tff(1138,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node15(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node15(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1139,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node15(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1140,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node15(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 77.48/49.76 tff(1141,plain,
% 77.48/49.76 ($false),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1140, 612, 1134, 1136, 1137])).
% 77.48/49.76 tff(1142,plain,((~node15(c_e_h_3, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.76 tff(1143,plain,
% 77.48/49.76 (~node15(c_e_h_3, c_f, s2, s3)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1142, 1136, 1134])).
% 77.48/49.76 tff(1144,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_f, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_f, s2, s3))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1145,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_f, s2, s3))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1146,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_f, s2, s3)),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 77.48/49.76 tff(1147,plain,
% 77.48/49.76 (node19(c_e_h_3, c_f, s2, s3)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1146, 494, 463])).
% 77.48/49.76 tff(1148,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1149,plain,
% 77.48/49.76 ((node16(c_e_h_3, c_f, s2) | node14(c_e_h_3, c_f, s2, s3) | node15(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3))) <=> (node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.76 inference(rewrite,[status(thm)],[])).
% 77.48/49.76 tff(1150,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s2) | node14(c_e_h_3, c_f, s2, s3) | node15(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3))))),
% 77.48/49.76 inference(monotonicity,[status(thm)],[1149])).
% 77.48/49.76 tff(1151,plain,
% 77.48/49.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s2) | node14(c_e_h_3, c_f, s2, s3) | node15(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.76 inference(transitivity,[status(thm)],[1150, 1148])).
% 77.48/49.76 tff(1152,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s2) | node14(c_e_h_3, c_f, s2, s3) | node15(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.76 inference(quant_inst,[status(thm)],[])).
% 77.48/49.76 tff(1153,plain,
% 77.48/49.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2) | (~node19(c_e_h_3, c_f, s2, s3))),
% 77.48/49.76 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 77.48/49.76 tff(1154,plain,
% 77.48/49.76 (node15(c_e_h_3, c_f, s2, s3) | node14(c_e_h_3, c_f, s2, s3) | node16(c_e_h_3, c_f, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1153, 594, 1147])).
% 77.48/49.76 tff(1155,plain,
% 77.48/49.76 (node16(c_e_h_3, c_f, s2)),
% 77.48/49.76 inference(unit_resolution,[status(thm)],[1154, 1143, 1135])).
% 77.48/49.76 tff(1156,assumption,(node16(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.48/49.76 tff(1157,assumption,(node17(c_e_h_3, c_f, s2)), introduced(assumption)).
% 77.48/49.77 tff(1158,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1159,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1160,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s2)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 77.48/49.77 tff(1161,plain,
% 77.48/49.77 (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1160, 559, 1156])).
% 77.48/49.77 tff(1162,plain,
% 77.48/49.77 (m_c_h_element_v_in2(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1161, 1133])).
% 77.48/49.77 tff(1163,plain,
% 77.48/49.77 (^[I0: $i, X: $i, I1: $i] : refl((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))) <=> (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))))),
% 77.48/49.77 inference(bind,[status(th)],[])).
% 77.48/49.77 tff(1164,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(quant_intro,[status(thm)],[1163])).
% 77.48/49.77 tff(1165,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1166,plain,
% 77.48/49.77 (^[I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) <=> (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)))), (((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X))) <=> ((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X))))), rewrite(((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X))) <=> (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))), (((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X))) <=> (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))))),
% 77.48/49.77 inference(bind,[status(th)],[])).
% 77.48/49.77 tff(1167,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(quant_intro,[status(thm)],[1166])).
% 77.48/49.77 tff(1168,axiom,(![I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node17(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_8')).
% 77.48/49.77 tff(1169,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 77.48/49.77 tff(1170,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1169, 1165])).
% 77.48/49.77 tff(1171,plain,(
% 77.48/49.77 ![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(skolemize,[status(sab)],[1170])).
% 77.48/49.77 tff(1172,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1171, 1164])).
% 77.48/49.77 tff(1173,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1174,plain,
% 77.48/49.77 ((m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | (~node17(c_e_h_3, c_f, s2))) <=> (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1175,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | (~node17(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2))))),
% 77.48/49.77 inference(monotonicity,[status(thm)],[1174])).
% 77.48/49.77 tff(1176,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | (~node17(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(transitivity,[status(thm)],[1175, 1173])).
% 77.48/49.77 tff(1177,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | (~node17(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1178,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 77.48/49.77 tff(1179,plain,
% 77.48/49.77 (m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1178, 1172, 1157])).
% 77.48/49.77 tff(1180,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1179, 1162, 1133])).
% 77.48/49.77 tff(1181,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)) | (~node16(c_e_h_3, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.77 tff(1182,plain,
% 77.48/49.77 (m_c_h_element_v_in1(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1181, 1157, 1156])).
% 77.48/49.77 tff(1183,plain,
% 77.48/49.77 (^[I0: $i, X: $i, I1: $i] : refl(((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) <=> ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))))),
% 77.48/49.77 inference(bind,[status(th)],[])).
% 77.48/49.77 tff(1184,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(quant_intro,[status(thm)],[1183])).
% 77.48/49.77 tff(1185,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1186,plain,
% 77.48/49.77 (^[I0: $i, X: $i, I1: $i] : rewrite((((~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node16(I0, I1, X))) <=> ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))))),
% 77.48/49.77 inference(bind,[status(th)],[])).
% 77.48/49.77 tff(1187,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node16(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(quant_intro,[status(thm)],[1186])).
% 77.48/49.77 tff(1188,axiom,(![I0: $i, X: $i, I1: $i] : (((~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X))) | (~node16(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_7')).
% 77.48/49.77 tff(1189,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 77.48/49.77 tff(1190,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1189, 1185])).
% 77.48/49.77 tff(1191,plain,(
% 77.48/49.77 ![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(skolemize,[status(sab)],[1190])).
% 77.48/49.77 tff(1192,plain,
% 77.48/49.77 (![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1191, 1184])).
% 77.48/49.77 tff(1193,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1194,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1195,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 77.48/49.77 tff(1196,plain,
% 77.48/49.77 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1195, 1192, 1156])).
% 77.48/49.77 tff(1197,plain,
% 77.48/49.77 (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1196, 1182])).
% 77.48/49.77 tff(1198,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1199,plain,
% 77.48/49.77 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2))) <=> ((~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1200,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2))))),
% 77.48/49.77 inference(monotonicity,[status(thm)],[1199])).
% 77.48/49.77 tff(1201,plain,
% 77.48/49.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(transitivity,[status(thm)],[1200, 1198])).
% 77.48/49.77 tff(1202,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~node17(c_e_h_3, c_f, s2)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1203,plain,
% 77.48/49.77 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s2)) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 77.48/49.77 tff(1204,plain,
% 77.48/49.77 (m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2))),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1203, 541, 1157])).
% 77.48/49.77 tff(1205,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1204, 1197, 1182])).
% 77.48/49.77 tff(1206,plain,((~node17(c_e_h_3, c_f, s2)) | (~node16(c_e_h_3, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.77 tff(1207,plain,
% 77.48/49.77 (~node17(c_e_h_3, c_f, s2)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1206, 1155])).
% 77.48/49.77 tff(1208,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s2) | node18(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s2) | node18(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1209,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s2) | node18(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1210,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s2) | node18(c_e_h_3, c_f, s2, s3) | (~node19(c_e_h_3, c_f, s2, s3))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 77.48/49.77 tff(1211,plain,
% 77.48/49.77 (node17(c_e_h_3, c_f, s2) | node18(c_e_h_3, c_f, s2, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1210, 508, 1147])).
% 77.48/49.77 tff(1212,plain,
% 77.48/49.77 (node18(c_e_h_3, c_f, s2, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1211, 1207])).
% 77.48/49.77 tff(1213,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1214,plain,
% 77.48/49.77 (((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~node18(c_e_h_3, c_f, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1215,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~node18(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3))))),
% 77.48/49.77 inference(monotonicity,[status(thm)],[1214])).
% 77.48/49.77 tff(1216,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~node18(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(transitivity,[status(thm)],[1215, 1213])).
% 77.48/49.77 tff(1217,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~node18(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1218,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | (~node18(c_e_h_3, c_f, s2, s3))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 77.48/49.77 tff(1219,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1218, 481, 1134, 1136, 1212])).
% 77.48/49.77 tff(1220,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | node14(c_e_h_3, c_f, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.77 tff(1221,plain,
% 77.48/49.77 ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | node14(c_e_h_3, c_f, s2, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1220, 822])).
% 77.48/49.77 tff(1222,plain,
% 77.48/49.77 (node14(c_e_h_3, c_f, s2, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1221, 1134])).
% 77.48/49.77 tff(1223,assumption,(node14(c_e_h_3, c_f, s2, s3)), introduced(assumption)).
% 77.48/49.77 tff(1224,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1225,plain,
% 77.48/49.77 (((~node14(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1226,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3))))),
% 77.48/49.77 inference(monotonicity,[status(thm)],[1225])).
% 77.48/49.77 tff(1227,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3)))),
% 77.48/49.77 inference(transitivity,[status(thm)],[1226, 1224])).
% 77.48/49.77 tff(1228,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1229,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2) | (~node14(c_e_h_3, c_f, s2, s3))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 77.48/49.77 tff(1230,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1229, 575, 1134, 1223, 1133])).
% 77.48/49.77 tff(1231,plain,((~node14(c_e_h_3, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.77 tff(1232,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1231, 1222, 1134, 1133])).
% 77.48/49.77 tff(1233,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.77 tff(1234,plain,
% 77.48/49.77 (~m_c_h_element_v_out(c_e_h_3, c_f, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1233, 1132])).
% 77.48/49.77 tff(1235,plain,
% 77.48/49.77 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1236,plain,
% 77.48/49.77 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1237,plain,
% 77.48/49.77 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3)),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 77.48/49.77 tff(1238,plain,
% 77.48/49.77 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1237, 145])).
% 77.48/49.77 tff(1239,plain,
% 77.48/49.77 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1238, 1234])).
% 77.48/49.77 tff(1240,plain,
% 77.48/49.77 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1241,plain,
% 77.48/49.77 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1242,plain,
% 77.48/49.77 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 77.48/49.77 tff(1243,plain,
% 77.48/49.77 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1242, 121])).
% 77.48/49.77 tff(1244,plain,
% 77.48/49.77 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1243, 686])).
% 77.48/49.77 tff(1245,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)), introduced(assumption)).
% 77.48/49.77 tff(1246,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.77 tff(1247,assumption,(node11(c_e_h_3, c_m, s3, s4)), introduced(assumption)).
% 77.48/49.77 tff(1248,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1249,plain,
% 77.48/49.77 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.77 inference(rewrite,[status(thm)],[])).
% 77.48/49.77 tff(1250,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4))))),
% 77.48/49.77 inference(monotonicity,[status(thm)],[1249])).
% 77.48/49.77 tff(1251,plain,
% 77.48/49.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.77 inference(transitivity,[status(thm)],[1250, 1248])).
% 77.48/49.77 tff(1252,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)))),
% 77.48/49.77 inference(quant_inst,[status(thm)],[])).
% 77.48/49.77 tff(1253,plain,
% 77.48/49.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~node11(c_e_h_3, c_m, s3, s4))),
% 77.48/49.77 inference(modus_ponens,[status(thm)],[1252, 1251])).
% 77.48/49.77 tff(1254,plain,
% 77.48/49.77 ($false),
% 77.48/49.77 inference(unit_resolution,[status(thm)],[1253, 208, 1245, 1247, 1246])).
% 77.48/49.77 tff(1255,plain,((~node11(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1256,plain,
% 77.48/49.78 (~node11(c_e_h_3, c_m, s3, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1255, 1246, 1245])).
% 77.48/49.78 tff(1257,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)), introduced(assumption)).
% 77.48/49.78 tff(1258,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)), introduced(assumption)).
% 77.48/49.78 tff(1259,assumption,(node10(c_e_h_3, c_m, s3, s4)), introduced(assumption)).
% 77.48/49.78 tff(1260,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1261,plain,
% 77.48/49.78 (((~node10(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1262,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4))))),
% 77.48/49.78 inference(monotonicity,[status(thm)],[1261])).
% 77.48/49.78 tff(1263,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4)))),
% 77.48/49.78 inference(transitivity,[status(thm)],[1262, 1260])).
% 77.48/49.78 tff(1264,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1265,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~node10(c_e_h_3, c_m, s3, s4))),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 77.48/49.78 tff(1266,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1265, 160, 1257, 1258, 1259, 1246])).
% 77.48/49.78 tff(1267,plain,((~node10(c_e_h_3, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1268,plain,
% 77.48/49.78 (~node10(c_e_h_3, c_m, s3, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1267, 1246, 1258, 1257])).
% 77.48/49.78 tff(1269,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_3, c_m, s3, s4) | node11(c_e_h_3, c_m, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_3, c_m, s3, s4) | node11(c_e_h_3, c_m, s3, s4))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1270,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_3, c_m, s3, s4) | node11(c_e_h_3, c_m, s3, s4))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1271,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_3, c_m, s3, s4) | node11(c_e_h_3, c_m, s3, s4)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 77.48/49.78 tff(1272,plain,
% 77.48/49.78 (node10(c_e_h_3, c_m, s3, s4) | node11(c_e_h_3, c_m, s3, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1271, 193, 711])).
% 77.48/49.78 tff(1273,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1272, 1268, 1256])).
% 77.48/49.78 tff(1274,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1275,plain,
% 77.48/49.78 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3))),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1274, 1244])).
% 77.48/49.78 tff(1276,plain,
% 77.48/49.78 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3))),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1275, 865])).
% 77.48/49.78 tff(1277,plain,
% 77.48/49.78 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1276, 1239])).
% 77.48/49.78 tff(1278,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.78 tff(1279,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.78 tff(1280,plain,
% 77.48/49.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1281,plain,
% 77.48/49.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1282,plain,
% 77.48/49.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 77.48/49.78 tff(1283,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1282, 224, 1279, 1278])).
% 77.48/49.78 tff(1284,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1285,plain,
% 77.48/49.78 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1284, 1277])).
% 77.48/49.78 tff(1286,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.78 tff(1287,assumption,(node9(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.78 tff(1288,plain,
% 77.48/49.78 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1289,plain,
% 77.48/49.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1290,plain,
% 77.48/49.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 77.48/49.78 tff(1291,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1290, 238, 1287, 1286])).
% 77.48/49.78 tff(1292,plain,((~node9(c_e_h_3, c_n, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1293,plain,
% 77.48/49.78 (~node9(c_e_h_3, c_n, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1292, 1285])).
% 77.48/49.78 tff(1294,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.78 tff(1295,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)), introduced(assumption)).
% 77.48/49.78 tff(1296,assumption,(node11(c_e_h_3, c_n, s4, s5)), introduced(assumption)).
% 77.48/49.78 tff(1297,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node11(c_e_h_3, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node11(c_e_h_3, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1298,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node11(c_e_h_3, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1299,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node11(c_e_h_3, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 77.48/49.78 tff(1300,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1299, 282, 1295, 1296, 1294])).
% 77.48/49.78 tff(1301,plain,((~node11(c_e_h_3, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1302,plain,
% 77.48/49.78 (~node11(c_e_h_3, c_n, s4, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1301, 1295, 1294])).
% 77.48/49.78 tff(1303,assumption,(~node9(c_e_h_3, c_n, s4)), introduced(assumption)).
% 77.48/49.78 tff(1304,assumption,(node10(c_e_h_3, c_n, s4, s5)), introduced(assumption)).
% 77.48/49.78 tff(1305,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node10(c_e_h_3, c_n, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node10(c_e_h_3, c_n, s4, s5)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1306,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node10(c_e_h_3, c_n, s4, s5)))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1307,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | (~node10(c_e_h_3, c_n, s4, s5))),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 77.48/49.78 tff(1308,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1307, 252, 1295, 1304, 1303])).
% 77.48/49.78 tff(1309,plain,((~node10(c_e_h_3, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | node9(c_e_h_3, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1310,plain,
% 77.48/49.78 (~node10(c_e_h_3, c_n, s4, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1309, 1295, 1303])).
% 77.48/49.78 tff(1311,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_3, c_n, s4, s5) | node11(c_e_h_3, c_n, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_3, c_n, s4, s5) | node11(c_e_h_3, c_n, s4, s5))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1312,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_3, c_n, s4, s5) | node11(c_e_h_3, c_n, s4, s5))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1313,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_3, c_n, s4, s5) | node11(c_e_h_3, c_n, s4, s5)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 77.48/49.78 tff(1314,plain,
% 77.48/49.78 (node10(c_e_h_3, c_n, s4, s5) | node11(c_e_h_3, c_n, s4, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1313, 193, 930])).
% 77.48/49.78 tff(1315,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1314, 1310, 1302])).
% 77.48/49.78 tff(1316,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | node9(c_e_h_3, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1317,plain,
% 77.48/49.78 ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)) | node9(c_e_h_3, c_n, s4)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1316, 898])).
% 77.48/49.78 tff(1318,plain,
% 77.48/49.78 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1317, 1293])).
% 77.48/49.78 tff(1319,plain,
% 77.48/49.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1320,plain,
% 77.48/49.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1321,plain,
% 77.48/49.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 77.48/49.78 tff(1322,plain,
% 77.48/49.78 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1321, 320, 1318])).
% 77.48/49.78 tff(1323,plain,
% 77.48/49.78 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s5))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1324,plain,
% 77.48/49.78 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s5))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1325,plain,
% 77.48/49.78 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s5)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 77.48/49.78 tff(1326,plain,
% 77.48/49.78 (~node20(c_e_h_3, c_q, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1325, 334, 1322])).
% 77.48/49.78 tff(1327,assumption,(~node20(c_e_h_3, c_q, s5)), introduced(assumption)).
% 77.48/49.78 tff(1328,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s5)), introduced(assumption)).
% 77.48/49.78 tff(1329,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s6)), introduced(assumption)).
% 77.48/49.78 tff(1330,assumption,(node22(c_e_h_3, c_q, s5, s6)), introduced(assumption)).
% 77.48/49.78 tff(1331,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node22(c_e_h_3, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node22(c_e_h_3, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1332,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node22(c_e_h_3, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1333,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node22(c_e_h_3, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 77.48/49.78 tff(1334,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1333, 437, 1329, 1328, 1330])).
% 77.48/49.78 tff(1335,plain,((~node22(c_e_h_3, c_q, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1336,plain,
% 77.48/49.78 (~node22(c_e_h_3, c_q, s5, s6)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1335, 1329, 1328])).
% 77.48/49.78 tff(1337,plain,
% 77.48/49.78 (succ(s5, s6) <=> succ(s5, s6)),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1338,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 77.48/49.78 tff(1339,plain,
% 77.48/49.78 (succ(s5, s6)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 77.48/49.78 tff(1340,plain,
% 77.48/49.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1341,plain,
% 77.48/49.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1342,plain,
% 77.48/49.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 77.48/49.78 tff(1343,plain,
% 77.48/49.78 (trans(s5, s6)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1342, 1339, 176])).
% 77.48/49.78 tff(1344,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_q, s5, s6) | node22(c_e_h_3, c_q, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_q, s5, s6) | node22(c_e_h_3, c_q, s5, s6))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1345,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_q, s5, s6) | node22(c_e_h_3, c_q, s5, s6))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1346,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_q, s5, s6) | node22(c_e_h_3, c_q, s5, s6)),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 77.48/49.78 tff(1347,plain,
% 77.48/49.78 (node21(c_e_h_3, c_q, s5, s6) | node22(c_e_h_3, c_q, s5, s6)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1346, 383, 1343])).
% 77.48/49.78 tff(1348,plain,
% 77.48/49.78 (node21(c_e_h_3, c_q, s5, s6)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1347, 1336])).
% 77.48/49.78 tff(1349,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1350,plain,
% 77.48/49.78 ((node20(c_e_h_3, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node21(c_e_h_3, c_q, s5, s6))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6)))),
% 77.48/49.78 inference(rewrite,[status(thm)],[])).
% 77.48/49.78 tff(1351,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node21(c_e_h_3, c_q, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6))))),
% 77.48/49.78 inference(monotonicity,[status(thm)],[1350])).
% 77.48/49.78 tff(1352,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node21(c_e_h_3, c_q, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6)))),
% 77.48/49.78 inference(transitivity,[status(thm)],[1351, 1349])).
% 77.48/49.78 tff(1353,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | (~node21(c_e_h_3, c_q, s5, s6)))),
% 77.48/49.78 inference(quant_inst,[status(thm)],[])).
% 77.48/49.78 tff(1354,plain,
% 77.48/49.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | (~node21(c_e_h_3, c_q, s5, s6))),
% 77.48/49.78 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 77.48/49.78 tff(1355,plain,
% 77.48/49.78 ($false),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1354, 348, 1329, 1348, 1327])).
% 77.48/49.78 tff(1356,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | node20(c_e_h_3, c_q, s5) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.78 tff(1357,plain,
% 77.48/49.78 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1356, 1326])).
% 77.48/49.78 tff(1358,plain,
% 77.48/49.78 (~m_and_h_gate_v_out(c_e_h_3, c_q, s6)),
% 77.48/49.78 inference(unit_resolution,[status(thm)],[1357, 943])).
% 77.48/49.78 tff(1359,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s7)), introduced(assumption)).
% 77.48/49.78 tff(1360,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s2)), introduced(assumption)).
% 77.48/49.78 tff(1361,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s1)), introduced(assumption)).
% 77.48/49.78 tff(1362,assumption,(node13(c_e_h_3, c_b, s1, s2)), introduced(assumption)).
% 77.48/49.78 tff(1363,plain,
% 77.48/49.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node13(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node13(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1364,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node13(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1365,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node13(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 77.48/49.79 tff(1366,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1365, 1004, 1362, 1360, 1361])).
% 77.48/49.79 tff(1367,plain,((~node13(c_e_h_3, c_b, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1368,plain,
% 77.48/49.79 (~node13(c_e_h_3, c_b, s1, s2)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1367, 1360, 1090])).
% 77.48/49.79 tff(1369,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s1)), introduced(assumption)).
% 77.48/49.79 tff(1370,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s0)), introduced(assumption)).
% 77.48/49.79 tff(1371,plain,
% 77.48/49.79 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s0))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1372,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1371, 424, 1370])).
% 77.48/49.79 tff(1373,plain,(~m_and_h_gate_v_out(c_e_h_1, c_k, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1374,plain,
% 77.48/49.79 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X)))),
% 77.48/49.79 inference(bind,[status(th)],[])).
% 77.48/49.79 tff(1375,plain,
% 77.48/49.79 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.48/49.79 inference(quant_intro,[status(thm)],[1374])).
% 77.48/49.79 tff(1376,plain,
% 77.48/49.79 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1377,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_64')).
% 77.48/49.79 tff(1378,plain,
% 77.48/49.79 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 77.48/49.79 tff(1379,plain,(
% 77.48/49.79 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.48/49.79 inference(skolemize,[status(sab)],[1378])).
% 77.48/49.79 tff(1380,plain,
% 77.48/49.79 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1379, 1375])).
% 77.48/49.79 tff(1381,plain,
% 77.48/49.79 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s0)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s0)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1382,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s0)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1383,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s0)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 77.48/49.79 tff(1384,plain,
% 77.48/49.79 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s0)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1383, 1380, 1373])).
% 77.48/49.79 tff(1385,plain,
% 77.48/49.79 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s0))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1386,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s0))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1387,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s0)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 77.48/49.79 tff(1388,plain,
% 77.48/49.79 (~node20(c_e_h_1, c_p, s0)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1387, 22, 1384])).
% 77.48/49.79 tff(1389,assumption,(node21(c_e_h_1, c_p, s0, s1)), introduced(assumption)).
% 77.48/49.79 tff(1390,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node21(c_e_h_1, c_p, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node21(c_e_h_1, c_p, s0, s1)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1391,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node21(c_e_h_1, c_p, s0, s1)))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1392,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node21(c_e_h_1, c_p, s0, s1))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 77.48/49.79 tff(1393,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1392, 348, 1389, 1388, 1369])).
% 77.48/49.79 tff(1394,plain,((~node21(c_e_h_1, c_p, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1395,plain,
% 77.48/49.79 (~node21(c_e_h_1, c_p, s0, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1394, 1369])).
% 77.48/49.79 tff(1396,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_p, s0, s1) | node22(c_e_h_1, c_p, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_p, s0, s1) | node22(c_e_h_1, c_p, s0, s1))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1397,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_p, s0, s1) | node22(c_e_h_1, c_p, s0, s1))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1398,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_p, s0, s1) | node22(c_e_h_1, c_p, s0, s1)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 77.48/49.79 tff(1399,plain,
% 77.48/49.79 (node21(c_e_h_1, c_p, s0, s1) | node22(c_e_h_1, c_p, s0, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1398, 383, 183])).
% 77.48/49.79 tff(1400,plain,
% 77.48/49.79 (node22(c_e_h_1, c_p, s0, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1399, 1395])).
% 77.48/49.79 tff(1401,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node22(c_e_h_1, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node22(c_e_h_1, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1402,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node22(c_e_h_1, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1403,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s1)) | (~node22(c_e_h_1, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s0)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 77.48/49.79 tff(1404,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1403, 437, 1400, 1369, 1029])).
% 77.48/49.79 tff(1405,plain,(~m_and_h_gate_v_out(c_e_h_1, c_p, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1406,plain,
% 77.48/49.79 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1407,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1408,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 77.48/49.79 tff(1409,plain,
% 77.48/49.79 (~m_cell_v_req(c_e_h_1, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1408, 1036, 1405])).
% 77.48/49.79 tff(1410,plain,
% 77.48/49.79 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s1))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1411,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s1))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1412,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s1)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 77.48/49.79 tff(1413,plain,
% 77.48/49.79 (node1(c_e_h_3, c_e_h_1, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1412, 1050, 1047])).
% 77.48/49.79 tff(1414,plain,
% 77.48/49.79 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s1)) | m_cell_v_req(c_e_h_1, s1) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s1)) | m_cell_v_req(c_e_h_1, s1) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1415,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s1)) | m_cell_v_req(c_e_h_1, s1) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1)))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1416,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s1)) | m_cell_v_req(c_e_h_1, s1) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 77.48/49.79 tff(1417,plain,
% 77.48/49.79 (m_cell_v_req(c_e_h_1, s1) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1))),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1416, 1064, 1413])).
% 77.48/49.79 tff(1418,plain,
% 77.48/49.79 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1417, 1409])).
% 77.48/49.79 tff(1419,assumption,(node12(c_e_h_3, c_b, s1, s2)), introduced(assumption)).
% 77.48/49.79 tff(1420,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s1)), introduced(assumption)).
% 77.48/49.79 tff(1421,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1422,plain,
% 77.48/49.79 (((~node12(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1423,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2))))),
% 77.48/49.79 inference(monotonicity,[status(thm)],[1422])).
% 77.48/49.79 tff(1424,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2)))),
% 77.48/49.79 inference(transitivity,[status(thm)],[1423, 1421])).
% 77.48/49.79 tff(1425,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1426,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)) | (~node12(c_e_h_3, c_b, s1, s2))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 77.48/49.79 tff(1427,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1426, 1082, 1420, 1419, 1360])).
% 77.48/49.79 tff(1428,plain,((~node12(c_e_h_3, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1429,plain,
% 77.48/49.79 (~node12(c_e_h_3, c_b, s1, s2)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1428, 1360, 1418])).
% 77.48/49.79 tff(1430,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_3, c_b, s1, s2) | node13(c_e_h_3, c_b, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_3, c_b, s1, s2) | node13(c_e_h_3, c_b, s1, s2))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1431,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_3, c_b, s1, s2) | node13(c_e_h_3, c_b, s1, s2))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1432,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_3, c_b, s1, s2) | node13(c_e_h_3, c_b, s1, s2)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 77.48/49.79 tff(1433,plain,
% 77.48/49.79 (node12(c_e_h_3, c_b, s1, s2) | node13(c_e_h_3, c_b, s1, s2)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1432, 1020, 265])).
% 77.48/49.79 tff(1434,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1433, 1429, 1368])).
% 77.48/49.79 tff(1435,plain,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1436,plain,
% 77.48/49.79 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1437,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1438,plain,
% 77.48/49.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 77.48/49.79 tff(1439,plain,
% 77.48/49.79 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s2)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1438, 966, 1435])).
% 77.48/49.79 tff(1440,plain,
% 77.48/49.79 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s2))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1441,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s2))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1442,plain,
% 77.48/49.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s2)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 77.48/49.79 tff(1443,plain,
% 77.48/49.79 (~node20(c_e_h_3, c_d, s2)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1442, 22, 1439])).
% 77.48/49.79 tff(1444,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.48/49.79 tff(1445,assumption,(node22(c_e_h_3, c_d, s2, s3)), introduced(assumption)).
% 77.48/49.79 tff(1446,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node22(c_e_h_3, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node22(c_e_h_3, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1447,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node22(c_e_h_3, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1448,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node22(c_e_h_3, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 77.48/49.79 tff(1449,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1448, 437, 1444, 1445, 1118])).
% 77.48/49.79 tff(1450,plain,((~node22(c_e_h_3, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1451,plain,
% 77.48/49.79 (~node22(c_e_h_3, c_d, s2, s3)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1450, 1444, 1118])).
% 77.48/49.79 tff(1452,assumption,(~node20(c_e_h_3, c_d, s2)), introduced(assumption)).
% 77.48/49.79 tff(1453,assumption,(node21(c_e_h_3, c_d, s2, s3)), introduced(assumption)).
% 77.48/49.79 tff(1454,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1455,plain,
% 77.48/49.79 ((node20(c_e_h_3, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node21(c_e_h_3, c_d, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3)))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1456,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node21(c_e_h_3, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3))))),
% 77.48/49.79 inference(monotonicity,[status(thm)],[1455])).
% 77.48/49.79 tff(1457,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node21(c_e_h_3, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3)))),
% 77.48/49.79 inference(transitivity,[status(thm)],[1456, 1454])).
% 77.48/49.79 tff(1458,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | (~node21(c_e_h_3, c_d, s2, s3)))),
% 77.48/49.79 inference(quant_inst,[status(thm)],[])).
% 77.48/49.79 tff(1459,plain,
% 77.48/49.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | (~node21(c_e_h_3, c_d, s2, s3))),
% 77.48/49.79 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 77.48/49.79 tff(1460,plain,
% 77.48/49.79 ($false),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1459, 348, 1444, 1453, 1452])).
% 77.48/49.79 tff(1461,plain,((~node21(c_e_h_3, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.79 tff(1462,plain,
% 77.48/49.79 (~node21(c_e_h_3, c_d, s2, s3)),
% 77.48/49.79 inference(unit_resolution,[status(thm)],[1461, 1444, 1452])).
% 77.48/49.79 tff(1463,plain,
% 77.48/49.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_d, s2, s3) | node22(c_e_h_3, c_d, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_d, s2, s3) | node22(c_e_h_3, c_d, s2, s3))),
% 77.48/49.79 inference(rewrite,[status(thm)],[])).
% 77.48/49.79 tff(1464,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_d, s2, s3) | node22(c_e_h_3, c_d, s2, s3))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1465,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_d, s2, s3) | node22(c_e_h_3, c_d, s2, s3)),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 77.48/49.80 tff(1466,plain,
% 77.48/49.80 (node21(c_e_h_3, c_d, s2, s3) | node22(c_e_h_3, c_d, s2, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1465, 383, 463])).
% 77.48/49.80 tff(1467,plain,
% 77.48/49.80 ($false),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1466, 1462, 1451])).
% 77.48/49.80 tff(1468,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | node20(c_e_h_3, c_d, s2) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.80 tff(1469,plain,
% 77.48/49.80 ((~m_and_h_gate_v_out(c_e_h_3, c_d, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1468, 1443])).
% 77.48/49.80 tff(1470,plain,
% 77.48/49.80 (~m_and_h_gate_v_out(c_e_h_3, c_d, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1469, 1117])).
% 77.48/49.80 tff(1471,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.48/49.80 tff(1472,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1473,plain,
% 77.48/49.80 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1474,plain,
% 77.48/49.80 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1475,plain,
% 77.48/49.80 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 77.48/49.80 tff(1476,plain,
% 77.48/49.80 ($false),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1475, 1126, 1472, 1471])).
% 77.48/49.80 tff(1477,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.80 tff(1478,plain,
% 77.48/49.80 (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1477, 1470])).
% 77.48/49.80 tff(1479,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1480,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1481,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.48/49.80 tff(1482,assumption,(node18(c_e_h_3, c_f, s3, s4)), introduced(assumption)).
% 77.48/49.80 tff(1483,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1484,plain,
% 77.48/49.80 (((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~node18(c_e_h_3, c_f, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1485,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~node18(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4))))),
% 77.48/49.80 inference(monotonicity,[status(thm)],[1484])).
% 77.48/49.80 tff(1486,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~node18(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(transitivity,[status(thm)],[1485, 1483])).
% 77.48/49.80 tff(1487,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~node18(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1488,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node18(c_e_h_3, c_f, s3, s4))),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1487, 1486])).
% 77.48/49.80 tff(1489,plain,
% 77.48/49.80 ($false),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1488, 481, 1480, 1482, 1481])).
% 77.48/49.80 tff(1490,plain,((~node18(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.80 tff(1491,plain,
% 77.48/49.80 (~node18(c_e_h_3, c_f, s3, s4)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1490, 1481, 1480])).
% 77.48/49.80 tff(1492,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_f, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_f, s3, s4))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1493,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_f, s3, s4))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1494,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_f, s3, s4)),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 77.48/49.80 tff(1495,plain,
% 77.48/49.80 (node19(c_e_h_3, c_f, s3, s4)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1494, 494, 711])).
% 77.48/49.80 tff(1496,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1497,plain,
% 77.48/49.80 ((node17(c_e_h_3, c_f, s3) | node18(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4))) <=> (node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1498,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s3) | node18(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4))))),
% 77.48/49.80 inference(monotonicity,[status(thm)],[1497])).
% 77.48/49.80 tff(1499,plain,
% 77.48/49.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s3) | node18(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(transitivity,[status(thm)],[1498, 1496])).
% 77.48/49.80 tff(1500,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s3) | node18(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1501,plain,
% 77.48/49.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3) | (~node19(c_e_h_3, c_f, s3, s4))),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 77.48/49.80 tff(1502,plain,
% 77.48/49.80 (node18(c_e_h_3, c_f, s3, s4) | node17(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1501, 508, 1495])).
% 77.48/49.80 tff(1503,plain,
% 77.48/49.80 (node17(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1502, 1491])).
% 77.48/49.80 tff(1504,assumption,(node17(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1505,assumption,(node16(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1506,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s3)), introduced(assumption)).
% 77.48/49.80 tff(1507,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1508,plain,
% 77.48/49.80 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3))) <=> (m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1509,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))))),
% 77.48/49.80 inference(monotonicity,[status(thm)],[1508])).
% 77.48/49.80 tff(1510,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(transitivity,[status(thm)],[1509, 1507])).
% 77.48/49.80 tff(1511,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1512,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1511, 1510])).
% 77.48/49.80 tff(1513,plain,
% 77.48/49.80 (m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1512, 541, 1504])).
% 77.48/49.80 tff(1514,plain,
% 77.48/49.80 (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1513, 1506])).
% 77.48/49.80 tff(1515,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1516,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1517,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s3)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 77.48/49.80 tff(1518,plain,
% 77.48/49.80 (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1517, 559, 1505])).
% 77.48/49.80 tff(1519,plain,
% 77.48/49.80 ($false),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1518, 1514, 1506])).
% 77.48/49.80 tff(1520,plain,(m_c_h_element_v_in2(c_e_h_3, c_f, s3) | (~node16(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.80 tff(1521,plain,
% 77.48/49.80 (m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1520, 1505, 1504])).
% 77.48/49.80 tff(1522,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1523,plain,
% 77.48/49.80 ((m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3))) <=> (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1524,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3))))),
% 77.48/49.80 inference(monotonicity,[status(thm)],[1523])).
% 77.48/49.80 tff(1525,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(transitivity,[status(thm)],[1524, 1522])).
% 77.48/49.80 tff(1526,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1527,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 77.48/49.80 tff(1528,plain,
% 77.48/49.80 (m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1527, 1172, 1504])).
% 77.48/49.80 tff(1529,plain,
% 77.48/49.80 (m_c_h_element_v_in1(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1528, 1521])).
% 77.48/49.80 tff(1530,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1531,plain,
% 77.48/49.80 (((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3))) <=> ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(rewrite,[status(thm)],[])).
% 77.48/49.80 tff(1532,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))))),
% 77.48/49.80 inference(monotonicity,[status(thm)],[1531])).
% 77.48/49.80 tff(1533,plain,
% 77.48/49.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(transitivity,[status(thm)],[1532, 1530])).
% 77.48/49.80 tff(1534,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)))),
% 77.48/49.80 inference(quant_inst,[status(thm)],[])).
% 77.48/49.80 tff(1535,plain,
% 77.48/49.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 77.48/49.80 tff(1536,plain,
% 77.48/49.80 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1535, 1192, 1505])).
% 77.48/49.80 tff(1537,plain,
% 77.48/49.80 ($false),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1536, 1529, 1521])).
% 77.48/49.80 tff(1538,plain,((~node16(c_e_h_3, c_f, s3)) | (~node17(c_e_h_3, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.80 tff(1539,plain,
% 77.48/49.80 (~node16(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1538, 1503])).
% 77.48/49.80 tff(1540,plain,
% 77.48/49.80 ((~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1512, 541, 1506])).
% 77.48/49.80 tff(1541,plain,
% 77.48/49.80 (~m_c_h_element_v_in1(c_e_h_3, c_f, s3)),
% 77.48/49.80 inference(unit_resolution,[status(thm)],[1540, 1503])).
% 77.48/49.80 tff(1542,assumption,(node14(c_e_h_3, c_f, s3, s4)), introduced(assumption)).
% 77.48/49.81 tff(1543,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1544,plain,
% 77.48/49.81 (((~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1545,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3)))),
% 77.48/49.81 inference(monotonicity,[status(thm)],[1544])).
% 77.48/49.81 tff(1546,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(transitivity,[status(thm)],[1545, 1543])).
% 77.48/49.81 tff(1547,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1548,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node14(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 77.48/49.81 tff(1549,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1548, 575, 1542, 1481, 1479])).
% 77.48/49.81 tff(1550,plain,((~node14(c_e_h_3, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1551,plain,
% 77.48/49.81 (~node14(c_e_h_3, c_f, s3, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1550, 1481, 1541])).
% 77.48/49.81 tff(1552,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1553,plain,
% 77.48/49.81 ((node16(c_e_h_3, c_f, s3) | node14(c_e_h_3, c_f, s3, s4) | node15(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4))) <=> (node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1554,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s3) | node14(c_e_h_3, c_f, s3, s4) | node15(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4))))),
% 77.48/49.81 inference(monotonicity,[status(thm)],[1553])).
% 77.48/49.81 tff(1555,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s3) | node14(c_e_h_3, c_f, s3, s4) | node15(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.81 inference(transitivity,[status(thm)],[1554, 1552])).
% 77.48/49.81 tff(1556,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s3) | node14(c_e_h_3, c_f, s3, s4) | node15(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4)))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1557,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4) | (~node19(c_e_h_3, c_f, s3, s4))),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 77.48/49.81 tff(1558,plain,
% 77.48/49.81 (node16(c_e_h_3, c_f, s3) | node15(c_e_h_3, c_f, s3, s4) | node14(c_e_h_3, c_f, s3, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1557, 594, 1495])).
% 77.48/49.81 tff(1559,plain,
% 77.48/49.81 (node15(c_e_h_3, c_f, s3, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1558, 1551, 1539])).
% 77.48/49.81 tff(1560,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node15(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node15(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1561,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node15(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1562,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | (~node15(c_e_h_3, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 77.48/49.81 tff(1563,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1562, 612, 1480, 1559, 1481])).
% 77.48/49.81 tff(1564,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1565,plain,
% 77.48/49.81 (m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1564, 1481, 1480])).
% 77.48/49.81 tff(1566,plain,
% 77.48/49.81 ((~node17(c_e_h_3, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3))),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1527, 1172, 1479])).
% 77.48/49.81 tff(1567,plain,
% 77.48/49.81 (~node17(c_e_h_3, c_f, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1566, 1565])).
% 77.48/49.81 tff(1568,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1502, 1567, 1491])).
% 77.48/49.81 tff(1569,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1570,plain,
% 77.48/49.81 (~m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1569, 1480, 1479])).
% 77.48/49.81 tff(1571,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)), introduced(assumption)).
% 77.48/49.81 tff(1572,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1238, 1480])).
% 77.48/49.81 tff(1573,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.81 tff(1574,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s2)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[656, 224, 846])).
% 77.48/49.81 tff(1575,plain,
% 77.48/49.81 (~node9(c_e_h_3, c_n, s2)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[660, 238, 1574])).
% 77.48/49.81 tff(1576,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[685, 1575])).
% 77.48/49.81 tff(1577,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[863, 846, 834])).
% 77.48/49.81 tff(1578,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[868, 224, 1577])).
% 77.48/49.81 tff(1579,plain,
% 77.48/49.81 (~node9(c_e_h_3, c_n, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[872, 238, 1578])).
% 77.48/49.81 tff(1580,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[896, 1579, 1576])).
% 77.48/49.81 tff(1581,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.81 tff(1582,plain,
% 77.48/49.81 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1583,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1584,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 77.48/49.81 tff(1585,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1584, 121, 1294, 1581])).
% 77.48/49.81 tff(1586,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1587,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1586, 1580])).
% 77.48/49.81 tff(1588,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s3)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1243, 1576])).
% 77.48/49.81 tff(1589,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1274, 1588, 1257, 1577])).
% 77.48/49.81 tff(1590,assumption,(node11(c_e_h_3, c_m, s4, s5)), introduced(assumption)).
% 77.48/49.81 tff(1591,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1592,plain,
% 77.48/49.81 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~node11(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1593,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~node11(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5))))),
% 77.48/49.81 inference(monotonicity,[status(thm)],[1592])).
% 77.48/49.81 tff(1594,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~node11(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(transitivity,[status(thm)],[1593, 1591])).
% 77.48/49.81 tff(1595,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~node11(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1596,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~node11(c_e_h_3, c_m, s4, s5))),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 77.48/49.81 tff(1597,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1596, 208, 1571, 1590, 1279])).
% 77.48/49.81 tff(1598,plain,((~node11(c_e_h_3, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1599,plain,
% 77.48/49.81 (~node11(c_e_h_3, c_m, s4, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1598, 1571, 1279])).
% 77.48/49.81 tff(1600,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.81 tff(1601,assumption,(node10(c_e_h_3, c_m, s4, s5)), introduced(assumption)).
% 77.48/49.81 tff(1602,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1603,plain,
% 77.48/49.81 (((~node10(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1604,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5))))),
% 77.48/49.81 inference(monotonicity,[status(thm)],[1603])).
% 77.48/49.81 tff(1605,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5)))),
% 77.48/49.81 inference(transitivity,[status(thm)],[1604, 1602])).
% 77.48/49.81 tff(1606,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1607,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~node10(c_e_h_3, c_m, s4, s5))),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 77.48/49.81 tff(1608,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1607, 160, 1571, 1601, 1573, 1600])).
% 77.48/49.81 tff(1609,plain,((~node10(c_e_h_3, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1610,plain,
% 77.48/49.81 (~node10(c_e_h_3, c_m, s4, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1609, 1571, 1600, 1573])).
% 77.48/49.81 tff(1611,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_3, c_m, s4, s5) | node11(c_e_h_3, c_m, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_3, c_m, s4, s5) | node11(c_e_h_3, c_m, s4, s5))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1612,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_3, c_m, s4, s5) | node11(c_e_h_3, c_m, s4, s5))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1613,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_3, c_m, s4, s5) | node11(c_e_h_3, c_m, s4, s5)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 77.48/49.81 tff(1614,plain,
% 77.48/49.81 (node10(c_e_h_3, c_m, s4, s5) | node11(c_e_h_3, c_m, s4, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1613, 193, 930])).
% 77.48/49.81 tff(1615,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1614, 1610, 1599])).
% 77.48/49.81 tff(1616,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1617,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1616, 1589, 1587, 1573, 1571])).
% 77.48/49.81 tff(1618,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1619,plain,
% 77.48/49.81 ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2))),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1618, 653])).
% 77.48/49.81 tff(1620,plain,
% 77.48/49.81 ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3))),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1619, 827])).
% 77.48/49.81 tff(1621,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1620, 1572, 1571])).
% 77.48/49.81 tff(1622,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)), introduced(assumption)).
% 77.48/49.81 tff(1623,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.48/49.81 tff(1624,plain,
% 77.48/49.81 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1625,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1626,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 77.48/49.81 tff(1627,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1626, 145, 1623, 1622])).
% 77.48/49.81 tff(1628,plain,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1629,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1628, 1621, 1570])).
% 77.48/49.81 tff(1630,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5) | m_c_h_element_v_in1(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1631,plain,
% 77.48/49.81 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1630, 1478, 1234])).
% 77.48/49.81 tff(1632,plain,
% 77.48/49.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1633,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1634,plain,
% 77.48/49.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 77.48/49.81 tff(1635,plain,
% 77.48/49.81 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1634, 224, 1631])).
% 77.48/49.81 tff(1636,plain,
% 77.48/49.81 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1637,plain,
% 77.48/49.81 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1638,plain,
% 77.48/49.81 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 77.48/49.81 tff(1639,plain,
% 77.48/49.81 (~node9(c_e_h_3, c_n, s5)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1638, 238, 1635])).
% 77.48/49.81 tff(1640,assumption,(~node9(c_e_h_3, c_n, s5)), introduced(assumption)).
% 77.48/49.81 tff(1641,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)), introduced(assumption)).
% 77.48/49.81 tff(1642,assumption,(node10(c_e_h_3, c_n, s5, s6)), introduced(assumption)).
% 77.48/49.81 tff(1643,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node10(c_e_h_3, c_n, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node10(c_e_h_3, c_n, s5, s6)))),
% 77.48/49.81 inference(rewrite,[status(thm)],[])).
% 77.48/49.81 tff(1644,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node10(c_e_h_3, c_n, s5, s6)))),
% 77.48/49.81 inference(quant_inst,[status(thm)],[])).
% 77.48/49.81 tff(1645,plain,
% 77.48/49.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node10(c_e_h_3, c_n, s5, s6))),
% 77.48/49.81 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 77.48/49.81 tff(1646,plain,
% 77.48/49.81 ($false),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1645, 252, 1641, 1642, 1640])).
% 77.48/49.81 tff(1647,plain,((~node10(c_e_h_3, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | node9(c_e_h_3, c_n, s5)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.81 tff(1648,plain,
% 77.48/49.81 (~node10(c_e_h_3, c_n, s5, s6)),
% 77.48/49.81 inference(unit_resolution,[status(thm)],[1647, 1641, 1640])).
% 77.48/49.81 tff(1649,plain,
% 77.48/49.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_3, c_n, s5, s6) | node11(c_e_h_3, c_n, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_3, c_n, s5, s6) | node11(c_e_h_3, c_n, s5, s6))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1650,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_3, c_n, s5, s6) | node11(c_e_h_3, c_n, s5, s6))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1651,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_3, c_n, s5, s6) | node11(c_e_h_3, c_n, s5, s6)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 77.48/49.82 tff(1652,plain,
% 77.48/49.82 (node10(c_e_h_3, c_n, s5, s6) | node11(c_e_h_3, c_n, s5, s6)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1651, 193, 1343])).
% 77.48/49.82 tff(1653,plain,
% 77.48/49.82 (node11(c_e_h_3, c_n, s5, s6)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1652, 1648])).
% 77.48/49.82 tff(1654,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)), introduced(assumption)).
% 77.48/49.82 tff(1655,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node11(c_e_h_3, c_n, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node11(c_e_h_3, c_n, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1656,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node11(c_e_h_3, c_n, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1657,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | (~node11(c_e_h_3, c_n, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 77.48/49.82 tff(1658,plain,
% 77.48/49.82 ($false),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1657, 282, 1641, 1654, 1653])).
% 77.48/49.82 tff(1659,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5) | node9(c_e_h_3, c_n, s5)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.82 tff(1660,plain,
% 77.48/49.82 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1659, 1639, 1318])).
% 77.48/49.82 tff(1661,plain,
% 77.48/49.82 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1662,plain,
% 77.48/49.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1663,plain,
% 77.48/49.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 77.48/49.82 tff(1664,plain,
% 77.48/49.82 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s6)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1663, 320, 1660])).
% 77.48/49.82 tff(1665,plain,
% 77.48/49.82 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s6))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1666,plain,
% 77.48/49.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s6))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1667,plain,
% 77.48/49.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s6)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 77.48/49.82 tff(1668,plain,
% 77.48/49.82 (~node20(c_e_h_3, c_q, s6)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1667, 334, 1664])).
% 77.48/49.82 tff(1669,assumption,(node21(c_e_h_3, c_q, s6, s7)), introduced(assumption)).
% 77.48/49.82 tff(1670,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7)))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1671,plain,
% 77.48/49.82 ((node20(c_e_h_3, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node21(c_e_h_3, c_q, s6, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7)))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1672,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node21(c_e_h_3, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7))))),
% 77.48/49.82 inference(monotonicity,[status(thm)],[1671])).
% 77.48/49.82 tff(1673,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node21(c_e_h_3, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7)))),
% 77.48/49.82 inference(transitivity,[status(thm)],[1672, 1670])).
% 77.48/49.82 tff(1674,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node21(c_e_h_3, c_q, s6, s7)))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1675,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | node20(c_e_h_3, c_q, s6) | (~node21(c_e_h_3, c_q, s6, s7))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 77.48/49.82 tff(1676,plain,
% 77.48/49.82 ($false),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1675, 348, 1359, 1669, 1668])).
% 77.48/49.82 tff(1677,plain,((~node21(c_e_h_3, c_q, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.82 tff(1678,plain,
% 77.48/49.82 (~node21(c_e_h_3, c_q, s6, s7)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1677, 1359])).
% 77.48/49.82 tff(1679,plain,
% 77.48/49.82 (succ(s6, s7) <=> succ(s6, s7)),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1680,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 77.48/49.82 tff(1681,plain,
% 77.48/49.82 (succ(s6, s7)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 77.48/49.82 tff(1682,plain,
% 77.48/49.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1683,plain,
% 77.48/49.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1684,plain,
% 77.48/49.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 77.48/49.82 tff(1685,plain,
% 77.48/49.82 (trans(s6, s7)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1684, 1681, 176])).
% 77.48/49.82 tff(1686,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_q, s6, s7) | node22(c_e_h_3, c_q, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_q, s6, s7) | node22(c_e_h_3, c_q, s6, s7))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1687,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_q, s6, s7) | node22(c_e_h_3, c_q, s6, s7))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1688,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_q, s6, s7) | node22(c_e_h_3, c_q, s6, s7)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1687, 1686])).
% 77.48/49.82 tff(1689,plain,
% 77.48/49.82 (node21(c_e_h_3, c_q, s6, s7) | node22(c_e_h_3, c_q, s6, s7)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1688, 383, 1685])).
% 77.48/49.82 tff(1690,plain,
% 77.48/49.82 (node22(c_e_h_3, c_q, s6, s7)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1689, 1678])).
% 77.48/49.82 tff(1691,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s6)), introduced(assumption)).
% 77.48/49.82 tff(1692,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node22(c_e_h_3, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node22(c_e_h_3, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1693,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node22(c_e_h_3, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1694,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | (~node22(c_e_h_3, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 77.48/49.82 tff(1695,plain,
% 77.48/49.82 ($false),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1694, 437, 1359, 1691, 1690])).
% 77.48/49.82 tff(1696,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.82 tff(1697,plain,
% 77.48/49.82 (~m_and_h_gate_v_out(c_e_h_3, c_q, s7)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1696, 1358])).
% 77.48/49.82 tff(1698,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s3)), introduced(assumption)).
% 77.48/49.82 tff(1699,assumption,(node21(c_e_h_3, c_i, s2, s3)), introduced(assumption)).
% 77.48/49.82 tff(1700,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s1)), introduced(assumption)).
% 77.48/49.82 tff(1701,assumption,(node18(c_e_h_3, c_h, s0, s1)), introduced(assumption)).
% 77.48/49.82 tff(1702,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1703,plain,
% 77.48/49.82 (((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~node18(c_e_h_3, c_h, s0, s1))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1704,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~node18(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1))))),
% 77.48/49.82 inference(monotonicity,[status(thm)],[1703])).
% 77.48/49.82 tff(1705,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~node18(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(transitivity,[status(thm)],[1704, 1702])).
% 77.48/49.82 tff(1706,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~node18(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1707,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node18(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 77.48/49.82 tff(1708,plain,
% 77.48/49.82 ($false),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1707, 481, 735, 1700, 1701])).
% 77.48/49.82 tff(1709,plain,((~node18(c_e_h_3, c_h, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.82 tff(1710,plain,
% 77.48/49.82 (~node18(c_e_h_3, c_h, s0, s1)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1709, 1700])).
% 77.48/49.82 tff(1711,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1712,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1713,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_h, s0, s1)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 77.48/49.82 tff(1714,plain,
% 77.48/49.82 (node19(c_e_h_3, c_h, s0, s1)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1713, 494, 183])).
% 77.48/49.82 tff(1715,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1716,plain,
% 77.48/49.82 ((node17(c_e_h_3, c_h, s0) | node18(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1))) <=> (node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1717,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s0) | node18(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(monotonicity,[status(thm)],[1716])).
% 77.48/49.82 tff(1718,plain,
% 77.48/49.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s0) | node18(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1))),
% 77.48/49.82 inference(transitivity,[status(thm)],[1717, 1715])).
% 77.48/49.82 tff(1719,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s0) | node18(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1720,plain,
% 77.48/49.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node18(c_e_h_3, c_h, s0, s1)),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 77.48/49.82 tff(1721,plain,
% 77.48/49.82 (node17(c_e_h_3, c_h, s0) | node18(c_e_h_3, c_h, s0, s1)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1720, 508, 1714])).
% 77.48/49.82 tff(1722,plain,
% 77.48/49.82 (node17(c_e_h_3, c_h, s0)),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1721, 1710])).
% 77.48/49.82 tff(1723,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s0)), introduced(assumption)).
% 77.48/49.82 tff(1724,plain,
% 77.48/49.82 (^[I0: $i, I1: $i] : refl((~m_or_h_gate_v_out(I0, I1, s0)) <=> (~m_or_h_gate_v_out(I0, I1, s0)))),
% 77.48/49.82 inference(bind,[status(th)],[])).
% 77.48/49.82 tff(1725,plain,
% 77.48/49.82 (![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))),
% 77.48/49.82 inference(quant_intro,[status(thm)],[1724])).
% 77.48/49.82 tff(1726,plain,
% 77.48/49.82 (![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1727,axiom,(![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_1')).
% 77.48/49.82 tff(1728,plain,
% 77.48/49.82 (![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 77.48/49.82 tff(1729,plain,(
% 77.48/49.82 ![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))),
% 77.48/49.82 inference(skolemize,[status(sab)],[1728])).
% 77.48/49.82 tff(1730,plain,
% 77.48/49.82 (![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1729, 1725])).
% 77.48/49.82 tff(1731,plain,
% 77.48/49.82 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s0))),
% 77.48/49.82 inference(quant_inst,[status(thm)],[])).
% 77.48/49.82 tff(1732,plain,
% 77.48/49.82 ($false),
% 77.48/49.82 inference(unit_resolution,[status(thm)],[1731, 1730, 1723])).
% 77.48/49.82 tff(1733,plain,(~m_or_h_gate_v_out(c_e_h_3, c_j, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.82 tff(1734,plain,
% 77.48/49.82 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X)) <=> ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X)))),
% 77.48/49.82 inference(bind,[status(th)],[])).
% 77.48/49.82 tff(1735,plain,
% 77.48/49.82 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))),
% 77.48/49.82 inference(quant_intro,[status(thm)],[1734])).
% 77.48/49.82 tff(1736,plain,
% 77.48/49.82 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))),
% 77.48/49.82 inference(rewrite,[status(thm)],[])).
% 77.48/49.82 tff(1737,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_34')).
% 77.48/49.82 tff(1738,plain,
% 77.48/49.82 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1737, 1736])).
% 77.48/49.82 tff(1739,plain,(
% 77.48/49.82 ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))),
% 77.48/49.82 inference(skolemize,[status(sab)],[1738])).
% 77.48/49.82 tff(1740,plain,
% 77.48/49.82 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))),
% 77.48/49.82 inference(modus_ponens,[status(thm)],[1739, 1735])).
% 77.48/49.82 tff(1741,plain,
% 77.48/49.82 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s0)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s0)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1742,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s0)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1743,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s0)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 77.48/49.83 tff(1744,plain,
% 77.48/49.83 (~m_c_h_element_v_in2(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1743, 1740, 1733])).
% 77.48/49.83 tff(1745,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1746,plain,
% 77.48/49.83 (((~m_c_h_element_v_in1(c_e_h_3, c_h, s0)) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0))) <=> (m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1747,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s0)) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0))))),
% 77.48/49.83 inference(monotonicity,[status(thm)],[1746])).
% 77.48/49.83 tff(1748,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s0)) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0)))),
% 77.48/49.83 inference(transitivity,[status(thm)],[1747, 1745])).
% 77.48/49.83 tff(1749,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s0)) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1750,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s0) | (~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1749, 1748])).
% 77.48/49.83 tff(1751,plain,
% 77.48/49.83 ((~node17(c_e_h_3, c_h, s0)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1750, 541, 1744])).
% 77.48/49.83 tff(1752,plain,
% 77.48/49.83 (~m_c_h_element_v_in1(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1751, 1722])).
% 77.48/49.83 tff(1753,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s0)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | m_c_h_element_v_in2(c_e_h_3, c_h, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s0)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | m_c_h_element_v_in2(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1754,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s0)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | m_c_h_element_v_in2(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1755,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s0)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | m_c_h_element_v_in2(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 77.48/49.83 tff(1756,plain,
% 77.48/49.83 ((~node16(c_e_h_3, c_h, s0)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1755, 559, 1744])).
% 77.48/49.83 tff(1757,plain,
% 77.48/49.83 (~node16(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1756, 1752])).
% 77.48/49.83 tff(1758,assumption,(node14(c_e_h_3, c_h, s0, s1)), introduced(assumption)).
% 77.48/49.83 tff(1759,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1760,plain,
% 77.48/49.83 (((~node14(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1))) <=> (m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1761,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1))))),
% 77.48/49.83 inference(monotonicity,[status(thm)],[1760])).
% 77.48/49.83 tff(1762,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.83 inference(transitivity,[status(thm)],[1761, 1759])).
% 77.48/49.83 tff(1763,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1764,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s0) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node14(c_e_h_3, c_h, s0, s1))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 77.48/49.83 tff(1765,plain,
% 77.48/49.83 ($false),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1764, 575, 1700, 1752, 1758])).
% 77.48/49.83 tff(1766,plain,((~node14(c_e_h_3, c_h, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1))), inference(lemma,lemma(discharge,[]))).
% 77.48/49.83 tff(1767,plain,
% 77.48/49.83 (~node14(c_e_h_3, c_h, s0, s1)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1766, 1700])).
% 77.48/49.83 tff(1768,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1769,plain,
% 77.48/49.83 ((node16(c_e_h_3, c_h, s0) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1))) <=> (node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1770,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s0) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.83 inference(monotonicity,[status(thm)],[1769])).
% 77.48/49.83 tff(1771,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s0) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1))),
% 77.48/49.83 inference(transitivity,[status(thm)],[1770, 1768])).
% 77.48/49.83 tff(1772,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s0) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1) | (~node19(c_e_h_3, c_h, s0, s1)))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1773,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s0) | (~node19(c_e_h_3, c_h, s0, s1)) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 77.48/49.83 tff(1774,plain,
% 77.48/49.83 (node16(c_e_h_3, c_h, s0) | node14(c_e_h_3, c_h, s0, s1) | node15(c_e_h_3, c_h, s0, s1)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1773, 594, 1714])).
% 77.48/49.83 tff(1775,plain,
% 77.48/49.83 (node15(c_e_h_3, c_h, s0, s1)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1774, 1767, 1757])).
% 77.48/49.83 tff(1776,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node15(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node15(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1777,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node15(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1778,plain,
% 77.48/49.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s1)) | (~node15(c_e_h_3, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 77.48/49.83 tff(1779,plain,
% 77.48/49.83 ($false),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1778, 612, 735, 1700, 1775])).
% 77.48/49.83 tff(1780,plain,(~m_c_h_element_v_out(c_e_h_3, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.83 tff(1781,assumption,(m_and_h_gate_v_out(c_e_h_2, c_q, s0)), introduced(assumption)).
% 77.48/49.83 tff(1782,plain,
% 77.48/49.83 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1783,plain,
% 77.48/49.83 ($false),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1782, 424, 1781])).
% 77.48/49.83 tff(1784,plain,(~m_and_h_gate_v_out(c_e_h_2, c_q, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.83 tff(1785,plain,
% 77.48/49.83 (^[I0: $i, X: $i, J0: $i] : refl(((~m_cell_v_left(I0, J0)) | node3(I0, J0, X)) <=> ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1786,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1785])).
% 77.48/49.83 tff(1787,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1788,axiom,(![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_79')).
% 77.48/49.83 tff(1789,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 77.48/49.83 tff(1790,plain,(
% 77.48/49.83 ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))),
% 77.48/49.83 inference(skolemize,[status(sab)],[1789])).
% 77.48/49.83 tff(1791,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1790, 1786])).
% 77.48/49.83 tff(1792,plain,
% 77.48/49.83 (m_cell_v_left(c_e_h_2, c_e_h_3) <=> m_cell_v_left(c_e_h_2, c_e_h_3)),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1793,axiom,(m_cell_v_left(c_e_h_2, c_e_h_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 77.48/49.83 tff(1794,plain,
% 77.48/49.83 (m_cell_v_left(c_e_h_2, c_e_h_3)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 77.48/49.83 tff(1795,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1796,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1797,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 77.48/49.83 tff(1798,plain,
% 77.48/49.83 (node3(c_e_h_2, c_e_h_3, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1797, 1794, 1791])).
% 77.48/49.83 tff(1799,plain,
% 77.48/49.83 (^[I0: $i, X: $i, J0: $i] : refl(((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) <=> ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1800,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1799])).
% 77.48/49.83 tff(1801,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1802,plain,
% 77.48/49.83 (^[I0: $i, X: $i, J0: $i] : rewrite((((~m_cell_v_ack(J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) | (~node3(I0, J0, X))) <=> ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1803,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : (((~m_cell_v_ack(J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) | (~node3(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1802])).
% 77.48/49.83 tff(1804,axiom,(![I0: $i, X: $i, J0: $i] : (((~m_cell_v_ack(J0, X)) | m_and_h_gate_v_out(I0, c_q, X)) | (~node3(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_78')).
% 77.48/49.83 tff(1805,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1804, 1803])).
% 77.48/49.83 tff(1806,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1805, 1801])).
% 77.48/49.83 tff(1807,plain,(
% 77.48/49.83 ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(skolemize,[status(sab)],[1806])).
% 77.48/49.83 tff(1808,plain,
% 77.48/49.83 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1807, 1800])).
% 77.48/49.83 tff(1809,plain,
% 77.48/49.83 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s0)) | (~node3(c_e_h_2, c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s0)) | (~node3(c_e_h_2, c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1810,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s0)) | (~node3(c_e_h_2, c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1811,plain,
% 77.48/49.83 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s0)) | (~node3(c_e_h_2, c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 77.48/49.83 tff(1812,plain,
% 77.48/49.83 ((~m_cell_v_ack(c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1811, 1808, 1798])).
% 77.48/49.83 tff(1813,plain,
% 77.48/49.83 (~m_cell_v_ack(c_e_h_3, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1812, 1784])).
% 77.48/49.83 tff(1814,plain,
% 77.48/49.83 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X)) <=> ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1815,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1814])).
% 77.48/49.83 tff(1816,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1817,axiom,(![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_42')).
% 77.48/49.83 tff(1818,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 77.48/49.83 tff(1819,plain,(
% 77.48/49.83 ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))),
% 77.48/49.83 inference(skolemize,[status(sab)],[1818])).
% 77.48/49.83 tff(1820,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1819, 1815])).
% 77.48/49.83 tff(1821,plain,
% 77.48/49.83 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s0)) | m_cell_v_ack(c_e_h_3, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s0)) | m_cell_v_ack(c_e_h_3, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1822,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s0)) | m_cell_v_ack(c_e_h_3, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1823,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s0)) | m_cell_v_ack(c_e_h_3, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 77.48/49.83 tff(1824,plain,
% 77.48/49.83 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1823, 1820, 1813])).
% 77.48/49.83 tff(1825,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s0)), introduced(assumption)).
% 77.48/49.83 tff(1826,plain,
% 77.48/49.83 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1827,plain,
% 77.48/49.83 ($false),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1826, 424, 1825])).
% 77.48/49.83 tff(1828,plain,(~m_and_h_gate_v_out(c_e_h_3, c_l, s0)), inference(lemma,lemma(discharge,[]))).
% 77.48/49.83 tff(1829,plain,
% 77.48/49.83 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X)) <=> ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1830,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1829])).
% 77.48/49.83 tff(1831,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1832,axiom,(![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_40')).
% 77.48/49.83 tff(1833,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 77.48/49.83 tff(1834,plain,(
% 77.48/49.83 ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))),
% 77.48/49.83 inference(skolemize,[status(sab)],[1833])).
% 77.48/49.83 tff(1835,plain,
% 77.48/49.83 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1834, 1830])).
% 77.48/49.83 tff(1836,plain,
% 77.48/49.83 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s0)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s0)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1837,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s0)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))),
% 77.48/49.83 inference(quant_inst,[status(thm)],[])).
% 77.48/49.83 tff(1838,plain,
% 77.48/49.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s0)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0)),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 77.48/49.83 tff(1839,plain,
% 77.48/49.83 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s0)),
% 77.48/49.83 inference(unit_resolution,[status(thm)],[1838, 1835, 1828])).
% 77.48/49.83 tff(1840,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s1)), introduced(assumption)).
% 77.48/49.83 tff(1841,assumption,(node6(c_e_h_3, c_j, s0, s1)), introduced(assumption)).
% 77.48/49.83 tff(1842,plain,
% 77.48/49.83 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) <=> ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1843,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1842])).
% 77.48/49.83 tff(1844,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1845,plain,
% 77.48/49.83 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) | (~node6(I0, I1, X, Y))) <=> ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)))),
% 77.48/49.83 inference(bind,[status(th)],[])).
% 77.48/49.83 tff(1846,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) | (~node6(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(quant_intro,[status(thm)],[1845])).
% 77.48/49.83 tff(1847,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X)) | (~node6(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_7')).
% 77.48/49.83 tff(1848,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 77.48/49.83 tff(1849,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1848, 1844])).
% 77.48/49.83 tff(1850,plain,(
% 77.48/49.83 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(skolemize,[status(sab)],[1849])).
% 77.48/49.83 tff(1851,plain,
% 77.48/49.83 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))),
% 77.48/49.83 inference(modus_ponens,[status(thm)],[1850, 1843])).
% 77.48/49.83 tff(1852,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1853,plain,
% 77.48/49.83 (((~node6(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1)))),
% 77.48/49.83 inference(rewrite,[status(thm)],[])).
% 77.48/49.83 tff(1854,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1))))),
% 77.48/49.83 inference(monotonicity,[status(thm)],[1853])).
% 77.48/49.83 tff(1855,plain,
% 77.48/49.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1)))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1854, 1852])).
% 77.57/49.84 tff(1856,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s0))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1857,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | (~node6(c_e_h_3, c_j, s0, s1))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 77.57/49.84 tff(1858,plain,
% 77.57/49.84 ($false),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1857, 1851, 1733, 1840, 1841])).
% 77.57/49.84 tff(1859,plain,((~node6(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.84 tff(1860,plain,
% 77.57/49.84 (~node6(c_e_h_3, c_j, s0, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1859, 1840])).
% 77.57/49.84 tff(1861,plain,
% 77.57/49.84 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y))) <=> (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y))))),
% 77.57/49.84 inference(bind,[status(th)],[])).
% 77.57/49.84 tff(1862,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(quant_intro,[status(thm)],[1861])).
% 77.57/49.84 tff(1863,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1864,plain,
% 77.57/49.84 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node5(I0, I1, X, Y) | node6(I0, I1, X, Y)) | (~trans(X, Y))) <=> (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y))))),
% 77.57/49.84 inference(bind,[status(th)],[])).
% 77.57/49.84 tff(1865,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node5(I0, I1, X, Y) | node6(I0, I1, X, Y)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(quant_intro,[status(thm)],[1864])).
% 77.57/49.84 tff(1866,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node5(I0, I1, X, Y) | node6(I0, I1, X, Y)) | (~trans(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_8')).
% 77.57/49.84 tff(1867,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 77.57/49.84 tff(1868,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1867, 1863])).
% 77.57/49.84 tff(1869,plain,(
% 77.57/49.84 ![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(skolemize,[status(sab)],[1868])).
% 77.57/49.84 tff(1870,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1869, 1862])).
% 77.57/49.84 tff(1871,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1872,plain,
% 77.57/49.84 ((node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1873,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1)))),
% 77.57/49.84 inference(monotonicity,[status(thm)],[1872])).
% 77.57/49.84 tff(1874,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1873, 1871])).
% 77.57/49.84 tff(1875,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1) | (~trans(s0, s1)))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1876,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1)),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 77.57/49.84 tff(1877,plain,
% 77.57/49.84 (node6(c_e_h_3, c_j, s0, s1) | node5(c_e_h_3, c_j, s0, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1876, 1870, 183])).
% 77.57/49.84 tff(1878,plain,
% 77.57/49.84 (node5(c_e_h_3, c_j, s0, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1877, 1860])).
% 77.57/49.84 tff(1879,plain,
% 77.57/49.84 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y))) <=> (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y))))),
% 77.57/49.84 inference(bind,[status(th)],[])).
% 77.57/49.84 tff(1880,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(quant_intro,[status(thm)],[1879])).
% 77.57/49.84 tff(1881,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1882,plain,
% 77.57/49.84 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_in1(I0, I1, X)) | m_or_h_gate_v_in2(I0, I1, X)) <=> (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~m_or_h_gate_v_out(I0, I1, Y)))), (((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_in1(I0, I1, X)) | m_or_h_gate_v_in2(I0, I1, X)) | (~node5(I0, I1, X, Y))) <=> ((m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~m_or_h_gate_v_out(I0, I1, Y))) | (~node5(I0, I1, X, Y))))), rewrite(((m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~m_or_h_gate_v_out(I0, I1, Y))) | (~node5(I0, I1, X, Y))) <=> (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))), (((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_in1(I0, I1, X)) | m_or_h_gate_v_in2(I0, I1, X)) | (~node5(I0, I1, X, Y))) <=> (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))))),
% 77.57/49.84 inference(bind,[status(th)],[])).
% 77.57/49.84 tff(1883,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : ((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_in1(I0, I1, X)) | m_or_h_gate_v_in2(I0, I1, X)) | (~node5(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(quant_intro,[status(thm)],[1882])).
% 77.57/49.84 tff(1884,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((((~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_in1(I0, I1, X)) | m_or_h_gate_v_in2(I0, I1, X)) | (~node5(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_5')).
% 77.57/49.84 tff(1885,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 77.57/49.84 tff(1886,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1885, 1881])).
% 77.57/49.84 tff(1887,plain,(
% 77.57/49.84 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(skolemize,[status(sab)],[1886])).
% 77.57/49.84 tff(1888,plain,
% 77.57/49.84 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1887, 1880])).
% 77.57/49.84 tff(1889,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1890,plain,
% 77.57/49.84 ((m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1))) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1891,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1))))),
% 77.57/49.84 inference(monotonicity,[status(thm)],[1890])).
% 77.57/49.84 tff(1892,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1891, 1889])).
% 77.57/49.84 tff(1893,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1894,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s1)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s0) | m_or_h_gate_v_in1(c_e_h_3, c_j, s0) | (~node5(c_e_h_3, c_j, s0, s1))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 77.57/49.84 tff(1895,plain,
% 77.57/49.84 ($false),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1894, 1888, 1840, 1878, 1839, 1824])).
% 77.57/49.84 tff(1896,plain,(~m_or_h_gate_v_out(c_e_h_3, c_j, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.84 tff(1897,plain,
% 77.57/49.84 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1898,plain,
% 77.57/49.84 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1899,plain,
% 77.57/49.84 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s1)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1)),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1898, 1897])).
% 77.57/49.84 tff(1900,plain,
% 77.57/49.84 (~m_c_h_element_v_in2(c_e_h_3, c_h, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1899, 1740, 1896])).
% 77.57/49.84 tff(1901,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_h, s1)), introduced(assumption)).
% 77.57/49.84 tff(1902,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s2)), introduced(assumption)).
% 77.57/49.84 tff(1903,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s1)), introduced(assumption)).
% 77.57/49.84 tff(1904,assumption,(node18(c_e_h_3, c_h, s1, s2)), introduced(assumption)).
% 77.57/49.84 tff(1905,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1906,plain,
% 77.57/49.84 (((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~node18(c_e_h_3, c_h, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1907,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~node18(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2))))),
% 77.57/49.84 inference(monotonicity,[status(thm)],[1906])).
% 77.57/49.84 tff(1908,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~node18(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1907, 1905])).
% 77.57/49.84 tff(1909,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~node18(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1910,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node18(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 77.57/49.84 tff(1911,plain,
% 77.57/49.84 ($false),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1910, 481, 1902, 1903, 1904])).
% 77.57/49.84 tff(1912,plain,((~node18(c_e_h_3, c_h, s1, s2)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.84 tff(1913,plain,
% 77.57/49.84 (~node18(c_e_h_3, c_h, s1, s2)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1912, 1902, 1903])).
% 77.57/49.84 tff(1914,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_h, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1915,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1916,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_h, s1, s2)),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 77.57/49.84 tff(1917,plain,
% 77.57/49.84 (node19(c_e_h_3, c_h, s1, s2)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1916, 494, 265])).
% 77.57/49.84 tff(1918,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1919,plain,
% 77.57/49.84 ((node17(c_e_h_3, c_h, s1) | node18(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2))) <=> (node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1920,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s1) | node18(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(monotonicity,[status(thm)],[1919])).
% 77.57/49.84 tff(1921,plain,
% 77.57/49.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s1) | node18(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1920, 1918])).
% 77.57/49.84 tff(1922,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s1) | node18(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1923,plain,
% 77.57/49.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s1) | (~node19(c_e_h_3, c_h, s1, s2)) | node18(c_e_h_3, c_h, s1, s2)),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 77.57/49.84 tff(1924,plain,
% 77.57/49.84 (node17(c_e_h_3, c_h, s1) | node18(c_e_h_3, c_h, s1, s2)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1923, 508, 1917])).
% 77.57/49.84 tff(1925,plain,
% 77.57/49.84 (node17(c_e_h_3, c_h, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1924, 1913])).
% 77.57/49.84 tff(1926,plain,
% 77.57/49.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1927,plain,
% 77.57/49.84 (((~m_c_h_element_v_in1(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~node17(c_e_h_3, c_h, s1))) <=> ((~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1)))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1928,plain,
% 77.57/49.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~node17(c_e_h_3, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1))))),
% 77.57/49.84 inference(monotonicity,[status(thm)],[1927])).
% 77.57/49.84 tff(1929,plain,
% 77.57/49.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~node17(c_e_h_3, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1)))),
% 77.57/49.84 inference(transitivity,[status(thm)],[1928, 1926])).
% 77.57/49.84 tff(1930,plain,
% 77.57/49.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~node17(c_e_h_3, c_h, s1)))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.84 tff(1931,plain,
% 77.57/49.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_h, s1)) | m_c_h_element_v_in2(c_e_h_3, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1))),
% 77.57/49.84 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 77.57/49.84 tff(1932,plain,
% 77.57/49.84 ((~node17(c_e_h_3, c_h, s1)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s1))),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1931, 541, 1901])).
% 77.57/49.84 tff(1933,plain,
% 77.57/49.84 (~m_c_h_element_v_in1(c_e_h_3, c_h, s1)),
% 77.57/49.84 inference(unit_resolution,[status(thm)],[1932, 1925])).
% 77.57/49.84 tff(1934,assumption,(~node15(c_e_h_3, c_h, s1, s2)), introduced(assumption)).
% 77.57/49.84 tff(1935,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_h, s1)), introduced(assumption)).
% 77.57/49.84 tff(1936,plain,
% 77.57/49.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | m_c_h_element_v_in2(c_e_h_3, c_h, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | m_c_h_element_v_in2(c_e_h_3, c_h, s1))),
% 77.57/49.84 inference(rewrite,[status(thm)],[])).
% 77.57/49.84 tff(1937,plain,
% 77.57/49.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | m_c_h_element_v_in2(c_e_h_3, c_h, s1))),
% 77.57/49.84 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1938,plain,
% 77.57/49.85 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | m_c_h_element_v_in2(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 77.57/49.85 tff(1939,plain,
% 77.57/49.85 ((~node16(c_e_h_3, c_h, s1)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1938, 559, 1901])).
% 77.57/49.85 tff(1940,plain,
% 77.57/49.85 (~node16(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1939, 1935])).
% 77.57/49.85 tff(1941,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1942,plain,
% 77.57/49.85 ((node16(c_e_h_3, c_h, s1) | node14(c_e_h_3, c_h, s1, s2) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2))) <=> (node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1943,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s1) | node14(c_e_h_3, c_h, s1, s2) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2))))),
% 77.57/49.85 inference(monotonicity,[status(thm)],[1942])).
% 77.57/49.85 tff(1944,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s1) | node14(c_e_h_3, c_h, s1, s2) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(transitivity,[status(thm)],[1943, 1941])).
% 77.57/49.85 tff(1945,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s1) | node14(c_e_h_3, c_h, s1, s2) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1946,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2) | (~node19(c_e_h_3, c_h, s1, s2))),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 77.57/49.85 tff(1947,plain,
% 77.57/49.85 (node14(c_e_h_3, c_h, s1, s2) | node16(c_e_h_3, c_h, s1) | node15(c_e_h_3, c_h, s1, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1946, 594, 1917])).
% 77.57/49.85 tff(1948,plain,
% 77.57/49.85 (node14(c_e_h_3, c_h, s1, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1947, 1940, 1934])).
% 77.57/49.85 tff(1949,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1950,plain,
% 77.57/49.85 (((~node14(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2))) <=> (m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1951,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2))))),
% 77.57/49.85 inference(monotonicity,[status(thm)],[1950])).
% 77.57/49.85 tff(1952,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2)))),
% 77.57/49.85 inference(transitivity,[status(thm)],[1951, 1949])).
% 77.57/49.85 tff(1953,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1954,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node14(c_e_h_3, c_h, s1, s2))),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 77.57/49.85 tff(1955,plain,
% 77.57/49.85 ($false),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1954, 575, 1902, 1935, 1948])).
% 77.57/49.85 tff(1956,plain,(m_c_h_element_v_in1(c_e_h_3, c_h, s1) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | node15(c_e_h_3, c_h, s1, s2) | m_c_h_element_v_in2(c_e_h_3, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.85 tff(1957,plain,
% 77.57/49.85 (node15(c_e_h_3, c_h, s1, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1956, 1933, 1902, 1901])).
% 77.57/49.85 tff(1958,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node15(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node15(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1959,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node15(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1960,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | (~node15(c_e_h_3, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 77.57/49.85 tff(1961,plain,
% 77.57/49.85 ($false),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1960, 612, 1902, 1903, 1957])).
% 77.57/49.85 tff(1962,plain,((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1) | m_c_h_element_v_in2(c_e_h_3, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.85 tff(1963,plain,
% 77.57/49.85 ((~m_c_h_element_v_out(c_e_h_3, c_h, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1962, 1900])).
% 77.57/49.85 tff(1964,plain,
% 77.57/49.85 (~m_c_h_element_v_out(c_e_h_3, c_h, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1963, 1780])).
% 77.57/49.85 tff(1965,plain,
% 77.57/49.85 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1966,plain,
% 77.57/49.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1967,plain,
% 77.57/49.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s2)) | m_c_h_element_v_out(c_e_h_3, c_h, s2)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 77.57/49.85 tff(1968,plain,
% 77.57/49.85 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1967, 8, 1964])).
% 77.57/49.85 tff(1969,plain,
% 77.57/49.85 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s2))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1970,plain,
% 77.57/49.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s2))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1971,plain,
% 77.57/49.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s2)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 77.57/49.85 tff(1972,plain,
% 77.57/49.85 (~node20(c_e_h_3, c_i, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1971, 22, 1968])).
% 77.57/49.85 tff(1973,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1974,plain,
% 77.57/49.85 ((node20(c_e_h_3, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1975,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2)))),
% 77.57/49.85 inference(monotonicity,[status(thm)],[1974])).
% 77.57/49.85 tff(1976,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2))),
% 77.57/49.85 inference(transitivity,[status(thm)],[1975, 1973])).
% 77.57/49.85 tff(1977,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1978,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node21(c_e_h_3, c_i, s2, s3)) | node20(c_e_h_3, c_i, s2)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 77.57/49.85 tff(1979,plain,
% 77.57/49.85 ($false),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1978, 348, 1698, 1972, 1699])).
% 77.57/49.85 tff(1980,plain,((~node21(c_e_h_3, c_i, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.85 tff(1981,plain,
% 77.57/49.85 (~node21(c_e_h_3, c_i, s2, s3)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1980, 1698])).
% 77.57/49.85 tff(1982,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_i, s2, s3) | node22(c_e_h_3, c_i, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_i, s2, s3) | node22(c_e_h_3, c_i, s2, s3))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1983,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_i, s2, s3) | node22(c_e_h_3, c_i, s2, s3))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1984,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_i, s2, s3) | node22(c_e_h_3, c_i, s2, s3)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 77.57/49.85 tff(1985,plain,
% 77.57/49.85 (node21(c_e_h_3, c_i, s2, s3) | node22(c_e_h_3, c_i, s2, s3)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1984, 383, 463])).
% 77.57/49.85 tff(1986,plain,
% 77.57/49.85 (node22(c_e_h_3, c_i, s2, s3)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1985, 1981])).
% 77.57/49.85 tff(1987,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s2)), introduced(assumption)).
% 77.57/49.85 tff(1988,assumption,(node21(c_e_h_3, c_i, s1, s2)), introduced(assumption)).
% 77.57/49.85 tff(1989,plain,
% 77.57/49.85 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1990,plain,
% 77.57/49.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s1))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1991,plain,
% 77.57/49.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s1)) | m_c_h_element_v_out(c_e_h_3, c_h, s1)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 77.57/49.85 tff(1992,plain,
% 77.57/49.85 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s1)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1991, 8, 1780])).
% 77.57/49.85 tff(1993,plain,
% 77.57/49.85 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s1))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1994,plain,
% 77.57/49.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s1))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(1995,plain,
% 77.57/49.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s1)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 77.57/49.85 tff(1996,plain,
% 77.57/49.85 (~node20(c_e_h_3, c_i, s1)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[1995, 22, 1992])).
% 77.57/49.85 tff(1997,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1998,plain,
% 77.57/49.85 ((node20(c_e_h_3, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node21(c_e_h_3, c_i, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2)))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(1999,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node21(c_e_h_3, c_i, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2))))),
% 77.57/49.85 inference(monotonicity,[status(thm)],[1998])).
% 77.57/49.85 tff(2000,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node21(c_e_h_3, c_i, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2)))),
% 77.57/49.85 inference(transitivity,[status(thm)],[1999, 1997])).
% 77.57/49.85 tff(2001,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node21(c_e_h_3, c_i, s1, s2)))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(2002,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | node20(c_e_h_3, c_i, s1) | (~node21(c_e_h_3, c_i, s1, s2))),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 77.57/49.85 tff(2003,plain,
% 77.57/49.85 ($false),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[2002, 348, 1987, 1996, 1988])).
% 77.57/49.85 tff(2004,plain,((~node21(c_e_h_3, c_i, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.85 tff(2005,plain,
% 77.57/49.85 (~node21(c_e_h_3, c_i, s1, s2)),
% 77.57/49.85 inference(unit_resolution,[status(thm)],[2004, 1987])).
% 77.57/49.85 tff(2006,plain,
% 77.57/49.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_i, s1, s2) | node22(c_e_h_3, c_i, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_i, s1, s2) | node22(c_e_h_3, c_i, s1, s2))),
% 77.57/49.85 inference(rewrite,[status(thm)],[])).
% 77.57/49.85 tff(2007,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_i, s1, s2) | node22(c_e_h_3, c_i, s1, s2))),
% 77.57/49.85 inference(quant_inst,[status(thm)],[])).
% 77.57/49.85 tff(2008,plain,
% 77.57/49.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_i, s1, s2) | node22(c_e_h_3, c_i, s1, s2)),
% 77.57/49.85 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 77.57/49.85 tff(2009,plain,
% 77.57/49.85 (node21(c_e_h_3, c_i, s1, s2) | node22(c_e_h_3, c_i, s1, s2)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2008, 383, 265])).
% 77.57/49.86 tff(2010,plain,
% 77.57/49.86 (node22(c_e_h_3, c_i, s1, s2)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2009, 2005])).
% 77.57/49.86 tff(2011,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node22(c_e_h_3, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node22(c_e_h_3, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2012,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node22(c_e_h_3, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2013,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s2)) | (~node22(c_e_h_3, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 77.57/49.86 tff(2014,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2013, 437, 759, 1987, 2010])).
% 77.57/49.86 tff(2015,plain,(~m_and_h_gate_v_out(c_e_h_3, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2016,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node22(c_e_h_3, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node22(c_e_h_3, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2017,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node22(c_e_h_3, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2018,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s3)) | (~node22(c_e_h_3, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 77.57/49.86 tff(2019,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2018, 437, 1698, 2015, 1986])).
% 77.57/49.86 tff(2020,plain,(~m_and_h_gate_v_out(c_e_h_3, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2021,assumption,(m_and_h_gate_v_out(c_e_h_3, c_k, s0)), introduced(assumption)).
% 77.57/49.86 tff(2022,plain,
% 77.57/49.86 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2023,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2022, 424, 2021])).
% 77.57/49.86 tff(2024,plain,(~m_and_h_gate_v_out(c_e_h_3, c_k, s0)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2025,plain,
% 77.57/49.86 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X)))),
% 77.57/49.86 inference(bind,[status(th)],[])).
% 77.57/49.86 tff(2026,plain,
% 77.57/49.86 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.57/49.86 inference(quant_intro,[status(thm)],[2025])).
% 77.57/49.86 tff(2027,plain,
% 77.57/49.86 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2028,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_48')).
% 77.57/49.86 tff(2029,plain,
% 77.57/49.86 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 77.57/49.86 tff(2030,plain,(
% 77.57/49.86 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.57/49.86 inference(skolemize,[status(sab)],[2029])).
% 77.57/49.86 tff(2031,plain,
% 77.57/49.86 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2030, 2026])).
% 77.57/49.86 tff(2032,plain,
% 77.57/49.86 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s0)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s0)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2033,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s0)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2034,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s0)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 77.57/49.86 tff(2035,plain,
% 77.57/49.86 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s0)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2034, 2031, 2024])).
% 77.57/49.86 tff(2036,plain,
% 77.57/49.86 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2037,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2038,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 77.57/49.86 tff(2039,plain,
% 77.57/49.86 (~node20(c_e_h_3, c_l, s0)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2038, 22, 2035])).
% 77.57/49.86 tff(2040,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s1)), introduced(assumption)).
% 77.57/49.86 tff(2041,assumption,(node22(c_e_h_3, c_l, s0, s1)), introduced(assumption)).
% 77.57/49.86 tff(2042,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node22(c_e_h_3, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node22(c_e_h_3, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2043,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node22(c_e_h_3, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2044,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node22(c_e_h_3, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 77.57/49.86 tff(2045,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2044, 437, 1828, 2041, 2040])).
% 77.57/49.86 tff(2046,plain,((~node22(c_e_h_3, c_l, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2047,plain,
% 77.57/49.86 (~node22(c_e_h_3, c_l, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2046, 2040])).
% 77.57/49.86 tff(2048,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_l, s0, s1) | node22(c_e_h_3, c_l, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_l, s0, s1) | node22(c_e_h_3, c_l, s0, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2049,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_l, s0, s1) | node22(c_e_h_3, c_l, s0, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2050,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_l, s0, s1) | node22(c_e_h_3, c_l, s0, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 77.57/49.86 tff(2051,plain,
% 77.57/49.86 (node21(c_e_h_3, c_l, s0, s1) | node22(c_e_h_3, c_l, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2050, 383, 183])).
% 77.57/49.86 tff(2052,plain,
% 77.57/49.86 (node21(c_e_h_3, c_l, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2051, 2047])).
% 77.57/49.86 tff(2053,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1)))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2054,plain,
% 77.57/49.86 ((node20(c_e_h_3, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node21(c_e_h_3, c_l, s0, s1))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1)))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2055,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node21(c_e_h_3, c_l, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1))))),
% 77.57/49.86 inference(monotonicity,[status(thm)],[2054])).
% 77.57/49.86 tff(2056,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node21(c_e_h_3, c_l, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1)))),
% 77.57/49.86 inference(transitivity,[status(thm)],[2055, 2053])).
% 77.57/49.86 tff(2057,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | (~node21(c_e_h_3, c_l, s0, s1)))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2058,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s1)) | node20(c_e_h_3, c_l, s0) | (~node21(c_e_h_3, c_l, s0, s1))),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 77.57/49.86 tff(2059,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2058, 348, 2052, 2040, 2039])).
% 77.57/49.86 tff(2060,plain,(~m_and_h_gate_v_out(c_e_h_3, c_l, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2061,plain,
% 77.57/49.86 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2062,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2063,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s1)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2062, 2061])).
% 77.57/49.86 tff(2064,plain,
% 77.57/49.86 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2063, 1835, 2060])).
% 77.57/49.86 tff(2065,assumption,(m_and_h_gate_v_out(c_e_h_2, c_q, s1)), introduced(assumption)).
% 77.57/49.86 tff(2066,assumption,(node22(c_e_h_2, c_q, s0, s1)), introduced(assumption)).
% 77.57/49.86 tff(2067,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node22(c_e_h_2, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node22(c_e_h_2, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2068,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node22(c_e_h_2, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2069,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node22(c_e_h_2, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 77.57/49.86 tff(2070,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2069, 437, 1784, 2065, 2066])).
% 77.57/49.86 tff(2071,plain,((~node22(c_e_h_2, c_q, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2072,plain,
% 77.57/49.86 (~node22(c_e_h_2, c_q, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2071, 2065])).
% 77.57/49.86 tff(2073,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_q, s0, s1) | node22(c_e_h_2, c_q, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_q, s0, s1) | node22(c_e_h_2, c_q, s0, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2074,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_q, s0, s1) | node22(c_e_h_2, c_q, s0, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2075,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_q, s0, s1) | node22(c_e_h_2, c_q, s0, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 77.57/49.86 tff(2076,plain,
% 77.57/49.86 (node21(c_e_h_2, c_q, s0, s1) | node22(c_e_h_2, c_q, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2075, 383, 183])).
% 77.57/49.86 tff(2077,plain,
% 77.57/49.86 (node21(c_e_h_2, c_q, s0, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2076, 2072])).
% 77.57/49.86 tff(2078,assumption,(m_c_h_element_v_out(c_e_h_2, c_f, s0)), introduced(assumption)).
% 77.57/49.86 tff(2079,plain,
% 77.57/49.86 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2080,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2079, 135, 2078])).
% 77.57/49.86 tff(2081,plain,(~m_c_h_element_v_out(c_e_h_2, c_f, s0)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2082,plain,
% 77.57/49.86 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s0)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s0)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2083,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s0)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2084,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s0)) | m_c_h_element_v_out(c_e_h_2, c_f, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 77.57/49.86 tff(2085,plain,
% 77.57/49.86 (~m_and_h_gate_v_in1(c_e_h_2, c_q, s0)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2084, 397, 2081])).
% 77.57/49.86 tff(2086,plain,
% 77.57/49.86 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s0))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2087,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s0))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2088,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s0)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 77.57/49.86 tff(2089,plain,
% 77.57/49.86 (~node20(c_e_h_2, c_q, s0)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2088, 22, 2085])).
% 77.57/49.86 tff(2090,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node21(c_e_h_2, c_q, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node21(c_e_h_2, c_q, s0, s1)))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2091,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node21(c_e_h_2, c_q, s0, s1)))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2092,plain,
% 77.57/49.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s1)) | (~node21(c_e_h_2, c_q, s0, s1))),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 77.57/49.86 tff(2093,plain,
% 77.57/49.86 ($false),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2092, 348, 2065, 2089, 2077])).
% 77.57/49.86 tff(2094,plain,(~m_and_h_gate_v_out(c_e_h_2, c_q, s1)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.86 tff(2095,plain,
% 77.57/49.86 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2096,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2097,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 77.57/49.86 tff(2098,plain,
% 77.57/49.86 (node3(c_e_h_2, c_e_h_3, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2097, 1794, 1791])).
% 77.57/49.86 tff(2099,plain,
% 77.57/49.86 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s1)) | (~node3(c_e_h_2, c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s1)) | (~node3(c_e_h_2, c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2100,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s1)) | (~node3(c_e_h_2, c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2101,plain,
% 77.57/49.86 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s1)) | (~node3(c_e_h_2, c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 77.57/49.86 tff(2102,plain,
% 77.57/49.86 ((~m_cell_v_ack(c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_2, c_q, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2101, 1808, 2098])).
% 77.57/49.86 tff(2103,plain,
% 77.57/49.86 (~m_cell_v_ack(c_e_h_3, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2102, 2094])).
% 77.57/49.86 tff(2104,plain,
% 77.57/49.86 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s1)) | m_cell_v_ack(c_e_h_3, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s1)) | m_cell_v_ack(c_e_h_3, s1))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2105,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s1)) | m_cell_v_ack(c_e_h_3, s1))),
% 77.57/49.86 inference(quant_inst,[status(thm)],[])).
% 77.57/49.86 tff(2106,plain,
% 77.57/49.86 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s1)) | m_cell_v_ack(c_e_h_3, s1)),
% 77.57/49.86 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 77.57/49.86 tff(2107,plain,
% 77.57/49.86 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s1)),
% 77.57/49.86 inference(unit_resolution,[status(thm)],[2106, 1820, 2103])).
% 77.57/49.86 tff(2108,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s2)), introduced(assumption)).
% 77.57/49.86 tff(2109,assumption,(node6(c_e_h_3, c_j, s1, s2)), introduced(assumption)).
% 77.57/49.86 tff(2110,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2111,plain,
% 77.57/49.86 (((~node6(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.86 inference(rewrite,[status(thm)],[])).
% 77.57/49.86 tff(2112,plain,
% 77.57/49.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2))))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2111])).
% 77.57/49.87 tff(2113,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2112, 2110])).
% 77.57/49.87 tff(2114,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s1))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2115,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | (~node6(c_e_h_3, c_j, s1, s2))),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 77.57/49.87 tff(2116,plain,
% 77.57/49.87 ($false),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2115, 1851, 1896, 2109, 2108])).
% 77.57/49.87 tff(2117,plain,((~node6(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.87 tff(2118,plain,
% 77.57/49.87 (~node6(c_e_h_3, c_j, s1, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2117, 2108])).
% 77.57/49.87 tff(2119,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2120,plain,
% 77.57/49.87 ((node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2121,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2120])).
% 77.57/49.87 tff(2122,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2121, 2119])).
% 77.57/49.87 tff(2123,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2) | (~trans(s1, s2)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2124,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 77.57/49.87 tff(2125,plain,
% 77.57/49.87 (node6(c_e_h_3, c_j, s1, s2) | node5(c_e_h_3, c_j, s1, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2124, 1870, 265])).
% 77.57/49.87 tff(2126,plain,
% 77.57/49.87 (node5(c_e_h_3, c_j, s1, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2125, 2118])).
% 77.57/49.87 tff(2127,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2128,plain,
% 77.57/49.87 ((m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2))) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2129,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2))))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2128])).
% 77.57/49.87 tff(2130,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2129, 2127])).
% 77.57/49.87 tff(2131,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2132,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s1) | m_or_h_gate_v_in1(c_e_h_3, c_j, s1) | (~node5(c_e_h_3, c_j, s1, s2))),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 77.57/49.87 tff(2133,plain,
% 77.57/49.87 ($false),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2132, 1888, 2126, 2108, 2107, 2064])).
% 77.57/49.87 tff(2134,plain,(~m_or_h_gate_v_out(c_e_h_3, c_j, s2)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.87 tff(2135,plain,
% 77.57/49.87 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2136,plain,
% 77.57/49.87 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2137,plain,
% 77.57/49.87 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 77.57/49.87 tff(2138,plain,
% 77.57/49.87 (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2137, 1740, 2134])).
% 77.57/49.87 tff(2139,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s3)), introduced(assumption)).
% 77.57/49.87 tff(2140,assumption,(node18(c_e_h_3, c_h, s2, s3)), introduced(assumption)).
% 77.57/49.87 tff(2141,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2142,plain,
% 77.57/49.87 (((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~node18(c_e_h_3, c_h, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2143,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~node18(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3))))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2142])).
% 77.57/49.87 tff(2144,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~node18(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2143, 2141])).
% 77.57/49.87 tff(2145,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~node18(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2146,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node18(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 77.57/49.87 tff(2147,plain,
% 77.57/49.87 ($false),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2146, 481, 1964, 2139, 2140])).
% 77.57/49.87 tff(2148,plain,((~node18(c_e_h_3, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.87 tff(2149,plain,
% 77.57/49.87 (~node18(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2148, 2139])).
% 77.57/49.87 tff(2150,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_h, s2)), introduced(assumption)).
% 77.57/49.87 tff(2151,assumption,(node14(c_e_h_3, c_h, s2, s3)), introduced(assumption)).
% 77.57/49.87 tff(2152,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2153,plain,
% 77.57/49.87 (((~node14(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3))) <=> (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2154,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3))))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2153])).
% 77.57/49.87 tff(2155,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2154, 2152])).
% 77.57/49.87 tff(2156,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2157,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node14(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 77.57/49.87 tff(2158,plain,
% 77.57/49.87 ($false),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2157, 575, 2139, 2151, 2150])).
% 77.57/49.87 tff(2159,plain,((~node14(c_e_h_3, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.87 tff(2160,plain,
% 77.57/49.87 (~node14(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2159, 2139, 2150])).
% 77.57/49.87 tff(2161,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s2)), introduced(assumption)).
% 77.57/49.87 tff(2162,assumption,(node15(c_e_h_3, c_h, s2, s3)), introduced(assumption)).
% 77.57/49.87 tff(2163,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node15(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node15(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2164,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node15(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2165,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | (~node15(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 77.57/49.87 tff(2166,plain,
% 77.57/49.87 ($false),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2165, 612, 2161, 2139, 2162])).
% 77.57/49.87 tff(2167,plain,((~node15(c_e_h_3, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.87 tff(2168,plain,
% 77.57/49.87 (~node15(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2167, 2161, 2139])).
% 77.57/49.87 tff(2169,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2170,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2171,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2170, 2169])).
% 77.57/49.87 tff(2172,plain,
% 77.57/49.87 (node19(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2171, 494, 463])).
% 77.57/49.87 tff(2173,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2174,plain,
% 77.57/49.87 ((node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | node15(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3))) <=> (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2175,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | node15(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2174])).
% 77.57/49.87 tff(2176,plain,
% 77.57/49.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | node15(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2175, 2173])).
% 77.57/49.87 tff(2177,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | node15(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2178,plain,
% 77.57/49.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)) | node15(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2177, 2176])).
% 77.57/49.87 tff(2179,plain,
% 77.57/49.87 (node16(c_e_h_3, c_h, s2) | node14(c_e_h_3, c_h, s2, s3) | node15(c_e_h_3, c_h, s2, s3)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2178, 594, 2172])).
% 77.57/49.87 tff(2180,plain,
% 77.57/49.87 (node16(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2179, 2168, 2160])).
% 77.57/49.87 tff(2181,plain,
% 77.57/49.87 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | m_c_h_element_v_in2(c_e_h_3, c_h, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | m_c_h_element_v_in2(c_e_h_3, c_h, s2))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2182,plain,
% 77.57/49.87 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | m_c_h_element_v_in2(c_e_h_3, c_h, s2))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2183,plain,
% 77.57/49.87 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | m_c_h_element_v_in2(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 77.57/49.87 tff(2184,plain,
% 77.57/49.87 ((~node16(c_e_h_3, c_h, s2)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2183, 559, 2150])).
% 77.57/49.87 tff(2185,plain,
% 77.57/49.87 (m_c_h_element_v_in2(c_e_h_3, c_h, s2)),
% 77.57/49.87 inference(unit_resolution,[status(thm)],[2184, 2180])).
% 77.57/49.87 tff(2186,plain,
% 77.57/49.87 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2187,plain,
% 77.57/49.87 ((m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.87 inference(rewrite,[status(thm)],[])).
% 77.57/49.87 tff(2188,plain,
% 77.57/49.87 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2))))),
% 77.57/49.87 inference(monotonicity,[status(thm)],[2187])).
% 77.57/49.87 tff(2189,plain,
% 77.57/49.87 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.87 inference(transitivity,[status(thm)],[2188, 2186])).
% 77.57/49.87 tff(2190,plain,
% 77.57/49.87 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.87 inference(quant_inst,[status(thm)],[])).
% 77.57/49.87 tff(2191,plain,
% 77.57/49.87 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2))),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 77.57/49.88 tff(2192,plain,
% 77.57/49.88 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2))),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2191, 1172, 2150])).
% 77.57/49.88 tff(2193,plain,
% 77.57/49.88 (~node17(c_e_h_3, c_h, s2)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2192, 2185])).
% 77.57/49.88 tff(2194,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s2) | node18(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s2) | node18(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2195,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s2) | node18(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3)))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2196,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s2) | node18(c_e_h_3, c_h, s2, s3) | (~node19(c_e_h_3, c_h, s2, s3))),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 77.57/49.88 tff(2197,plain,
% 77.57/49.88 (node17(c_e_h_3, c_h, s2) | node18(c_e_h_3, c_h, s2, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2196, 508, 2172])).
% 77.57/49.88 tff(2198,plain,
% 77.57/49.88 (node18(c_e_h_3, c_h, s2, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2197, 2193])).
% 77.57/49.88 tff(2199,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2146, 481, 2161, 2139, 2198])).
% 77.57/49.88 tff(2200,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s2) | (~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2201,plain,
% 77.57/49.88 ((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s2)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2200, 1964])).
% 77.57/49.88 tff(2202,plain,
% 77.57/49.88 (m_c_h_element_v_in1(c_e_h_3, c_h, s2)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2201, 2139])).
% 77.57/49.88 tff(2203,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_h, s2)), introduced(assumption)).
% 77.57/49.88 tff(2204,plain,
% 77.57/49.88 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2205,plain,
% 77.57/49.88 (((~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2))) <=> (m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2206,plain,
% 77.57/49.88 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2))))),
% 77.57/49.88 inference(monotonicity,[status(thm)],[2205])).
% 77.57/49.88 tff(2207,plain,
% 77.57/49.88 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.88 inference(transitivity,[status(thm)],[2206, 2204])).
% 77.57/49.88 tff(2208,plain,
% 77.57/49.88 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~node17(c_e_h_3, c_h, s2)))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2209,plain,
% 77.57/49.88 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s2) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2))),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 77.57/49.88 tff(2210,plain,
% 77.57/49.88 ((~m_c_h_element_v_in1(c_e_h_3, c_h, s2)) | (~node17(c_e_h_3, c_h, s2))),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2209, 541, 2203])).
% 77.57/49.88 tff(2211,plain,
% 77.57/49.88 (~node17(c_e_h_3, c_h, s2)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2210, 2202])).
% 77.57/49.88 tff(2212,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2197, 2211, 2149])).
% 77.57/49.88 tff(2213,plain,((~m_c_h_element_v_out(c_e_h_3, c_h, s3)) | m_c_h_element_v_in2(c_e_h_3, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2214,plain,
% 77.57/49.88 (~m_c_h_element_v_out(c_e_h_3, c_h, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2213, 2138])).
% 77.57/49.88 tff(2215,plain,
% 77.57/49.88 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2216,plain,
% 77.57/49.88 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2217,plain,
% 77.57/49.88 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s3)) | m_c_h_element_v_out(c_e_h_3, c_h, s3)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 77.57/49.88 tff(2218,plain,
% 77.57/49.88 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2217, 8, 2214])).
% 77.57/49.88 tff(2219,plain,
% 77.57/49.88 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s3))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2220,plain,
% 77.57/49.88 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s3))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2221,plain,
% 77.57/49.88 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s3)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 77.57/49.88 tff(2222,plain,
% 77.57/49.88 (~node20(c_e_h_3, c_i, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2221, 22, 2218])).
% 77.57/49.88 tff(2223,assumption,(~node20(c_e_h_3, c_i, s3)), introduced(assumption)).
% 77.57/49.88 tff(2224,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s4)), introduced(assumption)).
% 77.57/49.88 tff(2225,assumption,(node21(c_e_h_3, c_i, s3, s4)), introduced(assumption)).
% 77.57/49.88 tff(2226,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2227,plain,
% 77.57/49.88 ((node20(c_e_h_3, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node21(c_e_h_3, c_i, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2228,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node21(c_e_h_3, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4))))),
% 77.57/49.88 inference(monotonicity,[status(thm)],[2227])).
% 77.57/49.88 tff(2229,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node21(c_e_h_3, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4)))),
% 77.57/49.88 inference(transitivity,[status(thm)],[2228, 2226])).
% 77.57/49.88 tff(2230,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node21(c_e_h_3, c_i, s3, s4)))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2231,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3) | (~node21(c_e_h_3, c_i, s3, s4))),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 77.57/49.88 tff(2232,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2231, 348, 2225, 2224, 2223])).
% 77.57/49.88 tff(2233,plain,((~node21(c_e_h_3, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | node20(c_e_h_3, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2234,plain,
% 77.57/49.88 (~node21(c_e_h_3, c_i, s3, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2233, 2224, 2223])).
% 77.57/49.88 tff(2235,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s3)), introduced(assumption)).
% 77.57/49.88 tff(2236,assumption,(node22(c_e_h_3, c_i, s3, s4)), introduced(assumption)).
% 77.57/49.88 tff(2237,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node22(c_e_h_3, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node22(c_e_h_3, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2238,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node22(c_e_h_3, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2239,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | (~node22(c_e_h_3, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 77.57/49.88 tff(2240,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2239, 437, 2236, 2235, 2224])).
% 77.57/49.88 tff(2241,plain,((~node22(c_e_h_3, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s4))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2242,plain,
% 77.57/49.88 (~node22(c_e_h_3, c_i, s3, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2241, 2224, 2235])).
% 77.57/49.88 tff(2243,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_i, s3, s4) | node22(c_e_h_3, c_i, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_i, s3, s4) | node22(c_e_h_3, c_i, s3, s4))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2244,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_i, s3, s4) | node22(c_e_h_3, c_i, s3, s4))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2245,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_i, s3, s4) | node22(c_e_h_3, c_i, s3, s4)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 77.57/49.88 tff(2246,plain,
% 77.57/49.88 (node21(c_e_h_3, c_i, s3, s4) | node22(c_e_h_3, c_i, s3, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2245, 383, 711])).
% 77.57/49.88 tff(2247,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2246, 2242, 2234])).
% 77.57/49.88 tff(2248,plain,((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3) | node20(c_e_h_3, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2249,plain,
% 77.57/49.88 ((~m_and_h_gate_v_out(c_e_h_3, c_i, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2248, 2222])).
% 77.57/49.88 tff(2250,plain,
% 77.57/49.88 (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2249, 2020])).
% 77.57/49.88 tff(2251,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s4)), introduced(assumption)).
% 77.57/49.88 tff(2252,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.57/49.88 tff(2253,plain,
% 77.57/49.88 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2254,plain,
% 77.57/49.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2255,plain,
% 77.57/49.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 77.57/49.88 tff(2256,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2255, 527, 2252, 2251])).
% 77.57/49.88 tff(2257,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2258,plain,
% 77.57/49.88 (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2257, 2250])).
% 77.57/49.88 tff(2259,plain,
% 77.57/49.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[1569, 1478, 1234])).
% 77.57/49.88 tff(2260,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.57/49.88 tff(2261,assumption,(node18(c_e_h_3, c_f, s4, s5)), introduced(assumption)).
% 77.57/49.88 tff(2262,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2263,plain,
% 77.57/49.88 (((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~node18(c_e_h_3, c_f, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2264,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~node18(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5))))),
% 77.57/49.88 inference(monotonicity,[status(thm)],[2263])).
% 77.57/49.88 tff(2265,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~node18(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.88 inference(transitivity,[status(thm)],[2264, 2262])).
% 77.57/49.88 tff(2266,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~node18(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2267,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node18(c_e_h_3, c_f, s4, s5))),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 77.57/49.88 tff(2268,plain,
% 77.57/49.88 ($false),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2267, 481, 2260, 2261, 1623])).
% 77.57/49.88 tff(2269,plain,((~node18(c_e_h_3, c_f, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.88 tff(2270,plain,
% 77.57/49.88 (~node18(c_e_h_3, c_f, s4, s5)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2269, 2260, 1623])).
% 77.57/49.88 tff(2271,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_f, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_f, s4, s5))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2272,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_f, s4, s5))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2273,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_f, s4, s5)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 77.57/49.88 tff(2274,plain,
% 77.57/49.88 (node19(c_e_h_3, c_f, s4, s5)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2273, 494, 930])).
% 77.57/49.88 tff(2275,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2276,plain,
% 77.57/49.88 ((node17(c_e_h_3, c_f, s4) | node18(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5))) <=> ((~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4))),
% 77.57/49.88 inference(rewrite,[status(thm)],[])).
% 77.57/49.88 tff(2277,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s4) | node18(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4)))),
% 77.57/49.88 inference(monotonicity,[status(thm)],[2276])).
% 77.57/49.88 tff(2278,plain,
% 77.57/49.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s4) | node18(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4))),
% 77.57/49.88 inference(transitivity,[status(thm)],[2277, 2275])).
% 77.57/49.88 tff(2279,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s4) | node18(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.88 inference(quant_inst,[status(thm)],[])).
% 77.57/49.88 tff(2280,plain,
% 77.57/49.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s4, s5)) | node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4)),
% 77.57/49.88 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 77.57/49.88 tff(2281,plain,
% 77.57/49.88 (node18(c_e_h_3, c_f, s4, s5) | node17(c_e_h_3, c_f, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2280, 508, 2274])).
% 77.57/49.88 tff(2282,plain,
% 77.57/49.88 (node17(c_e_h_3, c_f, s4)),
% 77.57/49.88 inference(unit_resolution,[status(thm)],[2281, 2270])).
% 77.57/49.88 tff(2283,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.57/49.88 tff(2284,plain,
% 77.57/49.88 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2285,plain,
% 77.57/49.89 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~node17(c_e_h_3, c_f, s4))) <=> (m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2286,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~node17(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4))))),
% 77.57/49.89 inference(monotonicity,[status(thm)],[2285])).
% 77.57/49.89 tff(2287,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~node17(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(transitivity,[status(thm)],[2286, 2284])).
% 77.57/49.89 tff(2288,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2289,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 77.57/49.89 tff(2290,plain,
% 77.57/49.89 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2289, 541, 2283])).
% 77.57/49.89 tff(2291,plain,
% 77.57/49.89 (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2290, 2282])).
% 77.57/49.89 tff(2292,assumption,(node15(c_e_h_3, c_f, s4, s5)), introduced(assumption)).
% 77.57/49.89 tff(2293,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node15(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node15(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2294,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node15(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2295,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node15(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 77.57/49.89 tff(2296,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2295, 612, 2260, 2292, 1623])).
% 77.57/49.89 tff(2297,plain,((~node15(c_e_h_3, c_f, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_out(c_e_h_3, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2298,plain,
% 77.57/49.89 (~node15(c_e_h_3, c_f, s4, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2297, 2260, 1623])).
% 77.57/49.89 tff(2299,assumption,(node16(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.57/49.89 tff(2300,assumption,(node17(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.57/49.89 tff(2301,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2302,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2303,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s4)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 77.57/49.89 tff(2304,plain,
% 77.57/49.89 (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2303, 559, 2299])).
% 77.57/49.89 tff(2305,plain,
% 77.57/49.89 (m_c_h_element_v_in1(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2304, 2283])).
% 77.57/49.89 tff(2306,plain,
% 77.57/49.89 (m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2289, 541, 2300])).
% 77.57/49.89 tff(2307,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2306, 2305, 2283])).
% 77.57/49.89 tff(2308,plain,(m_c_h_element_v_in2(c_e_h_3, c_f, s4) | (~node17(c_e_h_3, c_f, s4)) | (~node16(c_e_h_3, c_f, s4))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2309,plain,
% 77.57/49.89 (m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2308, 2300, 2299])).
% 77.57/49.89 tff(2310,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2311,plain,
% 77.57/49.89 (((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4))) <=> ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2312,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4))))),
% 77.57/49.89 inference(monotonicity,[status(thm)],[2311])).
% 77.57/49.89 tff(2313,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(transitivity,[status(thm)],[2312, 2310])).
% 77.57/49.89 tff(2314,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2315,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 77.57/49.89 tff(2316,plain,
% 77.57/49.89 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2315, 1192, 2299])).
% 77.57/49.89 tff(2317,plain,
% 77.57/49.89 (~m_c_h_element_v_in1(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2316, 2309])).
% 77.57/49.89 tff(2318,plain,
% 77.57/49.89 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2319,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4)))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2320,plain,
% 77.57/49.89 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)) | (~node17(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 77.57/49.89 tff(2321,plain,
% 77.57/49.89 (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s4))),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2320, 1172, 2300])).
% 77.57/49.89 tff(2322,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2321, 2317, 2309])).
% 77.57/49.89 tff(2323,plain,((~node17(c_e_h_3, c_f, s4)) | (~node16(c_e_h_3, c_f, s4))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2324,plain,
% 77.57/49.89 (~node16(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2323, 2282])).
% 77.57/49.89 tff(2325,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s4) | node14(c_e_h_3, c_f, s4, s5) | node15(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s4) | node14(c_e_h_3, c_f, s4, s5) | node15(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2326,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s4) | node14(c_e_h_3, c_f, s4, s5) | node15(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2327,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s4) | node14(c_e_h_3, c_f, s4, s5) | node15(c_e_h_3, c_f, s4, s5) | (~node19(c_e_h_3, c_f, s4, s5))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 77.57/49.89 tff(2328,plain,
% 77.57/49.89 (node16(c_e_h_3, c_f, s4) | node14(c_e_h_3, c_f, s4, s5) | node15(c_e_h_3, c_f, s4, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2327, 594, 2274])).
% 77.57/49.89 tff(2329,plain,
% 77.57/49.89 (node14(c_e_h_3, c_f, s4, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2328, 2324, 2298])).
% 77.57/49.89 tff(2330,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s4)), introduced(assumption)).
% 77.57/49.89 tff(2331,assumption,(node14(c_e_h_3, c_f, s4, s5)), introduced(assumption)).
% 77.57/49.89 tff(2332,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2333,plain,
% 77.57/49.89 (((~node14(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5))) <=> (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2334,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5))))),
% 77.57/49.89 inference(monotonicity,[status(thm)],[2333])).
% 77.57/49.89 tff(2335,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5)))),
% 77.57/49.89 inference(transitivity,[status(thm)],[2334, 2332])).
% 77.57/49.89 tff(2336,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2337,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s4) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | (~node14(c_e_h_3, c_f, s4, s5))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 77.57/49.89 tff(2338,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2337, 575, 2260, 2331, 2330])).
% 77.57/49.89 tff(2339,plain,((~node14(c_e_h_3, c_f, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2340,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2339, 2329, 2291, 2260])).
% 77.57/49.89 tff(2341,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2342,plain,
% 77.57/49.89 ((~m_c_h_element_v_out(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2341, 2259])).
% 77.57/49.89 tff(2343,plain,
% 77.57/49.89 (~m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2342, 2258])).
% 77.57/49.89 tff(2344,plain,
% 77.57/49.89 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5) | m_c_h_element_v_out(c_e_h_3, c_f, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5) | m_c_h_element_v_out(c_e_h_3, c_f, s5))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2345,plain,
% 77.57/49.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5) | m_c_h_element_v_out(c_e_h_3, c_f, s5))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2346,plain,
% 77.57/49.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5) | m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 77.57/49.89 tff(2347,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5) | m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2346, 145])).
% 77.57/49.89 tff(2348,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2347, 2343])).
% 77.57/49.89 tff(2349,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[1628, 2259])).
% 77.57/49.89 tff(2350,plain,
% 77.57/49.89 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[1284, 1279])).
% 77.57/49.89 tff(2351,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)), introduced(assumption)).
% 77.57/49.89 tff(2352,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)), introduced(assumption)).
% 77.57/49.89 tff(2353,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s4)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[1586, 1294])).
% 77.57/49.89 tff(2354,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[1616, 2353, 1279, 1573])).
% 77.57/49.89 tff(2355,plain,
% 77.57/49.89 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[1316, 1294, 1303])).
% 77.57/49.89 tff(2356,plain,
% 77.57/49.89 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2357,plain,
% 77.57/49.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2358,plain,
% 77.57/49.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 77.57/49.89 tff(2359,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2358, 121])).
% 77.57/49.89 tff(2360,plain,
% 77.57/49.89 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2359, 2355])).
% 77.57/49.89 tff(2361,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)), introduced(assumption)).
% 77.57/49.89 tff(2362,assumption,(node10(c_e_h_3, c_m, s5, s6)), introduced(assumption)).
% 77.57/49.89 tff(2363,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2364,plain,
% 77.57/49.89 (((~node10(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2365,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6))))),
% 77.57/49.89 inference(monotonicity,[status(thm)],[2364])).
% 77.57/49.89 tff(2366,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.89 inference(transitivity,[status(thm)],[2365, 2363])).
% 77.57/49.89 tff(2367,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))),
% 77.57/49.89 inference(quant_inst,[status(thm)],[])).
% 77.57/49.89 tff(2368,plain,
% 77.57/49.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5)) | (~node10(c_e_h_3, c_m, s5, s6))),
% 77.57/49.89 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 77.57/49.89 tff(2369,plain,
% 77.57/49.89 ($false),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2368, 160, 2352, 2351, 2361, 2362])).
% 77.57/49.89 tff(2370,plain,((~node10(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 77.57/49.89 tff(2371,plain,
% 77.57/49.89 (~node10(c_e_h_3, c_m, s5, s6)),
% 77.57/49.89 inference(unit_resolution,[status(thm)],[2370, 2351, 2352, 2361])).
% 77.57/49.89 tff(2372,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)), introduced(assumption)).
% 77.57/49.89 tff(2373,assumption,(node11(c_e_h_3, c_m, s5, s6)), introduced(assumption)).
% 77.57/49.89 tff(2374,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2375,plain,
% 77.57/49.89 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~node11(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.89 inference(rewrite,[status(thm)],[])).
% 77.57/49.89 tff(2376,plain,
% 77.57/49.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~node11(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6))))),
% 77.57/49.90 inference(monotonicity,[status(thm)],[2375])).
% 77.57/49.90 tff(2377,plain,
% 77.57/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~node11(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6)))),
% 77.57/49.90 inference(transitivity,[status(thm)],[2376, 2374])).
% 77.57/49.90 tff(2378,plain,
% 77.57/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~node11(c_e_h_3, c_m, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2379,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~node11(c_e_h_3, c_m, s5, s6))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 77.64/49.90 tff(2380,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2379, 208, 2351, 2372, 2373])).
% 77.64/49.90 tff(2381,plain,((~node11(c_e_h_3, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2382,plain,
% 77.64/49.90 (~node11(c_e_h_3, c_m, s5, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2381, 2351, 2372])).
% 77.64/49.90 tff(2383,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_3, c_m, s5, s6) | node11(c_e_h_3, c_m, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_3, c_m, s5, s6) | node11(c_e_h_3, c_m, s5, s6))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2384,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_3, c_m, s5, s6) | node11(c_e_h_3, c_m, s5, s6))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2385,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_3, c_m, s5, s6) | node11(c_e_h_3, c_m, s5, s6)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 77.64/49.90 tff(2386,plain,
% 77.64/49.90 (node10(c_e_h_3, c_m, s5, s6) | node11(c_e_h_3, c_m, s5, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2385, 193, 1343])).
% 77.64/49.90 tff(2387,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2386, 2382, 2371])).
% 77.64/49.90 tff(2388,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2389,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2388, 2360, 2354, 2351, 2352])).
% 77.64/49.90 tff(2390,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | node9(c_e_h_3, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2391,plain,
% 77.64/49.90 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | node9(c_e_h_3, c_n, s4)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2390, 898])).
% 77.64/49.90 tff(2392,plain,
% 77.64/49.90 (node9(c_e_h_3, c_n, s4)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2391, 1279, 1573, 2352, 2351])).
% 77.64/49.90 tff(2393,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[1292, 2392, 2350])).
% 77.64/49.90 tff(2394,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2395,plain,
% 77.64/49.90 ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2394, 1277, 2349])).
% 77.64/49.90 tff(2396,plain,
% 77.64/49.90 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2395, 2348])).
% 77.64/49.90 tff(2397,plain,
% 77.64/49.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2398,plain,
% 77.64/49.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2399,plain,
% 77.64/49.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 77.64/49.90 tff(2400,plain,
% 77.64/49.90 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2399, 224, 2396])).
% 77.64/49.90 tff(2401,plain,
% 77.64/49.90 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2402,plain,
% 77.64/49.90 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2403,plain,
% 77.64/49.90 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 77.64/49.90 tff(2404,plain,
% 77.64/49.90 (~node9(c_e_h_3, c_n, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2403, 238, 2400])).
% 77.64/49.90 tff(2405,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)), introduced(assumption)).
% 77.64/49.90 tff(2406,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)), introduced(assumption)).
% 77.64/49.90 tff(2407,assumption,(node11(c_e_h_3, c_n, s6, s7)), introduced(assumption)).
% 77.64/49.90 tff(2408,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node11(c_e_h_3, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node11(c_e_h_3, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2409,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node11(c_e_h_3, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2410,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node11(c_e_h_3, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 77.64/49.90 tff(2411,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2410, 282, 2406, 2405, 2407])).
% 77.64/49.90 tff(2412,plain,((~node11(c_e_h_3, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2413,plain,
% 77.64/49.90 (~node11(c_e_h_3, c_n, s6, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2412, 2406, 2405])).
% 77.64/49.90 tff(2414,assumption,(~node9(c_e_h_3, c_n, s6)), introduced(assumption)).
% 77.64/49.90 tff(2415,assumption,(node10(c_e_h_3, c_n, s6, s7)), introduced(assumption)).
% 77.64/49.90 tff(2416,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7)))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2417,plain,
% 77.64/49.90 ((node9(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node10(c_e_h_3, c_n, s6, s7))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7)))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2418,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node10(c_e_h_3, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7))))),
% 77.64/49.90 inference(monotonicity,[status(thm)],[2417])).
% 77.64/49.90 tff(2419,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node10(c_e_h_3, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7)))),
% 77.64/49.90 inference(transitivity,[status(thm)],[2418, 2416])).
% 77.64/49.90 tff(2420,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | (~node10(c_e_h_3, c_n, s6, s7)))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2421,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | (~node10(c_e_h_3, c_n, s6, s7))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 77.64/49.90 tff(2422,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2421, 252, 2406, 2415, 2414])).
% 77.64/49.90 tff(2423,plain,((~node10(c_e_h_3, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2424,plain,
% 77.64/49.90 (~node10(c_e_h_3, c_n, s6, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2423, 2406, 2414])).
% 77.64/49.90 tff(2425,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_3, c_n, s6, s7) | node11(c_e_h_3, c_n, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_3, c_n, s6, s7) | node11(c_e_h_3, c_n, s6, s7))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2426,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_3, c_n, s6, s7) | node11(c_e_h_3, c_n, s6, s7))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2427,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_3, c_n, s6, s7) | node11(c_e_h_3, c_n, s6, s7)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 77.64/49.90 tff(2428,plain,
% 77.64/49.90 (node10(c_e_h_3, c_n, s6, s7) | node11(c_e_h_3, c_n, s6, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2427, 193, 1685])).
% 77.64/49.90 tff(2429,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2428, 2424, 2413])).
% 77.64/49.90 tff(2430,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2431,plain,
% 77.64/49.90 ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)) | node9(c_e_h_3, c_n, s6)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2430, 1660])).
% 77.64/49.90 tff(2432,plain,
% 77.64/49.90 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2431, 2404])).
% 77.64/49.90 tff(2433,plain,
% 77.64/49.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2434,plain,
% 77.64/49.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2435,plain,
% 77.64/49.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 77.64/49.90 tff(2436,plain,
% 77.64/49.90 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2435, 320, 2432])).
% 77.64/49.90 tff(2437,plain,
% 77.64/49.90 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s7)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s7)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s7))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2438,plain,
% 77.64/49.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s7)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s7))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2439,plain,
% 77.64/49.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s7)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s7)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 77.64/49.90 tff(2440,plain,
% 77.64/49.90 (~node20(c_e_h_3, c_q, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2439, 334, 2436])).
% 77.64/49.90 tff(2441,assumption,(~node20(c_e_h_3, c_q, s7)), introduced(assumption)).
% 77.64/49.90 tff(2442,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s8)), introduced(assumption)).
% 77.64/49.90 tff(2443,assumption,(node21(c_e_h_3, c_q, s7, s8)), introduced(assumption)).
% 77.64/49.90 tff(2444,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node21(c_e_h_3, c_q, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node21(c_e_h_3, c_q, s7, s8)))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2445,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node21(c_e_h_3, c_q, s7, s8)))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2446,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node21(c_e_h_3, c_q, s7, s8))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 77.64/49.90 tff(2447,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2446, 348, 2442, 2443, 2441])).
% 77.64/49.90 tff(2448,plain,((~node21(c_e_h_3, c_q, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | node20(c_e_h_3, c_q, s7)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2449,plain,
% 77.64/49.90 (~node21(c_e_h_3, c_q, s7, s8)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2448, 2442, 2441])).
% 77.64/49.90 tff(2450,plain,
% 77.64/49.90 (succ(s7, s8) <=> succ(s7, s8)),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2451,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 77.64/49.90 tff(2452,plain,
% 77.64/49.90 (succ(s7, s8)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 77.64/49.90 tff(2453,plain,
% 77.64/49.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2454,plain,
% 77.64/49.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2455,plain,
% 77.64/49.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 77.64/49.90 tff(2456,plain,
% 77.64/49.90 (trans(s7, s8)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2455, 2452, 176])).
% 77.64/49.90 tff(2457,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_3, c_q, s7, s8) | node22(c_e_h_3, c_q, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_3, c_q, s7, s8) | node22(c_e_h_3, c_q, s7, s8))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2458,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_3, c_q, s7, s8) | node22(c_e_h_3, c_q, s7, s8))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2459,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_3, c_q, s7, s8) | node22(c_e_h_3, c_q, s7, s8)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2458, 2457])).
% 77.64/49.90 tff(2460,plain,
% 77.64/49.90 (node21(c_e_h_3, c_q, s7, s8) | node22(c_e_h_3, c_q, s7, s8)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2459, 383, 2456])).
% 77.64/49.90 tff(2461,plain,
% 77.64/49.90 (node22(c_e_h_3, c_q, s7, s8)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2460, 2449])).
% 77.64/49.90 tff(2462,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s7)), introduced(assumption)).
% 77.64/49.90 tff(2463,plain,
% 77.64/49.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node22(c_e_h_3, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node22(c_e_h_3, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2464,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node22(c_e_h_3, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2465,plain,
% 77.64/49.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | (~node22(c_e_h_3, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7)),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 77.64/49.90 tff(2466,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2465, 437, 2462, 2442, 2461])).
% 77.64/49.90 tff(2467,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7) | node20(c_e_h_3, c_q, s7)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2468,plain,
% 77.64/49.90 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2467, 2440])).
% 77.64/49.90 tff(2469,plain,
% 77.64/49.90 (~m_and_h_gate_v_out(c_e_h_3, c_q, s8)),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2468, 1697])).
% 77.64/49.90 tff(2470,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s9)), introduced(assumption)).
% 77.64/49.90 tff(2471,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s0)), introduced(assumption)).
% 77.64/49.90 tff(2472,plain,
% 77.64/49.90 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2473,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2472, 1730, 2471])).
% 77.64/49.90 tff(2474,plain,(~m_or_h_gate_v_out(c_e_h_1, c_g, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2475,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s1)), introduced(assumption)).
% 77.64/49.90 tff(2476,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s0)), introduced(assumption)).
% 77.64/49.90 tff(2477,plain,
% 77.64/49.90 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.64/49.90 inference(quant_inst,[status(thm)],[])).
% 77.64/49.90 tff(2478,plain,
% 77.64/49.90 ($false),
% 77.64/49.90 inference(unit_resolution,[status(thm)],[2477, 424, 2476])).
% 77.64/49.90 tff(2479,plain,(~m_and_h_gate_v_out(c_e_h_1, c_c, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.90 tff(2480,plain,
% 77.64/49.90 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X)))),
% 77.64/49.90 inference(bind,[status(th)],[])).
% 77.64/49.90 tff(2481,plain,
% 77.64/49.90 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.64/49.90 inference(quant_intro,[status(thm)],[2480])).
% 77.64/49.90 tff(2482,plain,
% 77.64/49.90 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2483,axiom,(![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_28')).
% 77.64/49.90 tff(2484,plain,
% 77.64/49.90 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 77.64/49.90 tff(2485,plain,(
% 77.64/49.90 ![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.64/49.90 inference(skolemize,[status(sab)],[2484])).
% 77.64/49.90 tff(2486,plain,
% 77.64/49.90 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.64/49.90 inference(modus_ponens,[status(thm)],[2485, 2481])).
% 77.64/49.90 tff(2487,plain,
% 77.64/49.90 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.64/49.90 inference(rewrite,[status(thm)],[])).
% 77.64/49.90 tff(2488,plain,
% 77.64/49.90 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2489,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 77.64/49.91 tff(2490,plain,
% 77.64/49.91 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s0)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2489, 2486, 2479])).
% 77.64/49.91 tff(2491,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s0)), introduced(assumption)).
% 77.64/49.91 tff(2492,plain,
% 77.64/49.91 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2493,plain,
% 77.64/49.91 ($false),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2492, 424, 2491])).
% 77.64/49.91 tff(2494,plain,(~m_and_h_gate_v_out(c_e_h_1, c_d, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.91 tff(2495,plain,
% 77.64/49.91 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X)))),
% 77.64/49.91 inference(bind,[status(th)],[])).
% 77.64/49.91 tff(2496,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.64/49.91 inference(quant_intro,[status(thm)],[2495])).
% 77.64/49.91 tff(2497,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2498,axiom,(![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_30')).
% 77.64/49.91 tff(2499,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 77.64/49.91 tff(2500,plain,(
% 77.64/49.91 ![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.64/49.91 inference(skolemize,[status(sab)],[2499])).
% 77.64/49.91 tff(2501,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2500, 2496])).
% 77.64/49.91 tff(2502,plain,
% 77.64/49.91 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2503,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2504,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 77.64/49.91 tff(2505,plain,
% 77.64/49.91 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s0)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2504, 2501, 2494])).
% 77.64/49.91 tff(2506,assumption,(node5(c_e_h_1, c_g, s0, s1)), introduced(assumption)).
% 77.64/49.91 tff(2507,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2508,plain,
% 77.64/49.91 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2509,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0)))),
% 77.64/49.91 inference(monotonicity,[status(thm)],[2508])).
% 77.64/49.91 tff(2510,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(transitivity,[status(thm)],[2509, 2507])).
% 77.64/49.91 tff(2511,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2512,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s0) | (~node5(c_e_h_1, c_g, s0, s1)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 77.64/49.91 tff(2513,plain,
% 77.64/49.91 ($false),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2512, 1888, 2506, 2505, 2475, 2490])).
% 77.64/49.91 tff(2514,plain,((~node5(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.91 tff(2515,plain,
% 77.64/49.91 (~node5(c_e_h_1, c_g, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2514, 2475])).
% 77.64/49.91 tff(2516,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2517,plain,
% 77.64/49.91 ((node6(c_e_h_1, c_g, s0, s1) | node5(c_e_h_1, c_g, s0, s1) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2518,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s0, s1) | node5(c_e_h_1, c_g, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1)))),
% 77.64/49.91 inference(monotonicity,[status(thm)],[2517])).
% 77.64/49.91 tff(2519,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s0, s1) | node5(c_e_h_1, c_g, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1))),
% 77.64/49.91 inference(transitivity,[status(thm)],[2518, 2516])).
% 77.64/49.91 tff(2520,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s0, s1) | node5(c_e_h_1, c_g, s0, s1) | (~trans(s0, s1)))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2521,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 77.64/49.91 tff(2522,plain,
% 77.64/49.91 (node5(c_e_h_1, c_g, s0, s1) | node6(c_e_h_1, c_g, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2521, 1870, 183])).
% 77.64/49.91 tff(2523,plain,
% 77.64/49.91 (node6(c_e_h_1, c_g, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2522, 2515])).
% 77.64/49.91 tff(2524,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1)))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2525,plain,
% 77.64/49.91 (((~node6(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1)))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2526,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1))))),
% 77.64/49.91 inference(monotonicity,[status(thm)],[2525])).
% 77.64/49.91 tff(2527,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1)))),
% 77.64/49.91 inference(transitivity,[status(thm)],[2526, 2524])).
% 77.64/49.91 tff(2528,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2529,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0) | (~node6(c_e_h_1, c_g, s0, s1))),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 77.64/49.91 tff(2530,plain,
% 77.64/49.91 ($false),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2529, 1851, 2523, 2475, 2474])).
% 77.64/49.91 tff(2531,plain,(~m_or_h_gate_v_out(c_e_h_1, c_g, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.91 tff(2532,plain,
% 77.64/49.91 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X)))),
% 77.64/49.91 inference(bind,[status(th)],[])).
% 77.64/49.91 tff(2533,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.64/49.91 inference(quant_intro,[status(thm)],[2532])).
% 77.64/49.91 tff(2534,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2535,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_44')).
% 77.64/49.91 tff(2536,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 77.64/49.91 tff(2537,plain,(
% 77.64/49.91 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.64/49.91 inference(skolemize,[status(sab)],[2536])).
% 77.64/49.91 tff(2538,plain,
% 77.64/49.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2537, 2533])).
% 77.64/49.91 tff(2539,plain,
% 77.64/49.91 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2540,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2541,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s1)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 77.64/49.91 tff(2542,plain,
% 77.64/49.91 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2541, 2538, 2531])).
% 77.64/49.91 tff(2543,plain,
% 77.64/49.91 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s1))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2544,plain,
% 77.64/49.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s1))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2545,plain,
% 77.64/49.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s1)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 77.64/49.91 tff(2546,plain,
% 77.64/49.91 (~node20(c_e_h_1, c_k, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2545, 22, 2542])).
% 77.64/49.91 tff(2547,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s2)), introduced(assumption)).
% 77.64/49.91 tff(2548,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s1)), introduced(assumption)).
% 77.64/49.91 tff(2549,plain,
% 77.64/49.91 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2550,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2551,plain,
% 77.64/49.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 77.64/49.91 tff(2552,plain,
% 77.64/49.91 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s0)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2551, 2538, 2474])).
% 77.64/49.91 tff(2553,plain,
% 77.64/49.91 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2554,plain,
% 77.64/49.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2555,plain,
% 77.64/49.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 77.64/49.91 tff(2556,plain,
% 77.64/49.91 (~node20(c_e_h_1, c_k, s0)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2555, 22, 2552])).
% 77.64/49.91 tff(2557,assumption,(node22(c_e_h_1, c_k, s0, s1)), introduced(assumption)).
% 77.64/49.91 tff(2558,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node22(c_e_h_1, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node22(c_e_h_1, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2559,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node22(c_e_h_1, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2560,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node22(c_e_h_1, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s0)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 77.64/49.91 tff(2561,plain,
% 77.64/49.91 ($false),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2560, 437, 2557, 1373, 2548])).
% 77.64/49.91 tff(2562,plain,((~node22(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.91 tff(2563,plain,
% 77.64/49.91 (~node22(c_e_h_1, c_k, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2562, 2548])).
% 77.64/49.91 tff(2564,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_k, s0, s1) | node22(c_e_h_1, c_k, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_k, s0, s1) | node22(c_e_h_1, c_k, s0, s1))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2565,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_k, s0, s1) | node22(c_e_h_1, c_k, s0, s1))),
% 77.64/49.91 inference(quant_inst,[status(thm)],[])).
% 77.64/49.91 tff(2566,plain,
% 77.64/49.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_k, s0, s1) | node22(c_e_h_1, c_k, s0, s1)),
% 77.64/49.91 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 77.64/49.91 tff(2567,plain,
% 77.64/49.91 (node21(c_e_h_1, c_k, s0, s1) | node22(c_e_h_1, c_k, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2566, 383, 183])).
% 77.64/49.91 tff(2568,plain,
% 77.64/49.91 (node21(c_e_h_1, c_k, s0, s1)),
% 77.64/49.91 inference(unit_resolution,[status(thm)],[2567, 2563])).
% 77.64/49.91 tff(2569,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2570,plain,
% 77.64/49.91 ((node20(c_e_h_1, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node21(c_e_h_1, c_k, s0, s1))) <=> (node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)))),
% 77.64/49.91 inference(rewrite,[status(thm)],[])).
% 77.64/49.91 tff(2571,plain,
% 77.64/49.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node21(c_e_h_1, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1))))),
% 77.64/49.92 inference(monotonicity,[status(thm)],[2570])).
% 77.64/49.92 tff(2572,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node21(c_e_h_1, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)))),
% 77.64/49.92 inference(transitivity,[status(thm)],[2571, 2569])).
% 77.64/49.92 tff(2573,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1)) | (~node21(c_e_h_1, c_k, s0, s1)))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2574,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s0) | (~node21(c_e_h_1, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s1))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 77.64/49.92 tff(2575,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2574, 348, 2568, 2556, 2548])).
% 77.64/49.92 tff(2576,plain,(~m_and_h_gate_v_out(c_e_h_1, c_k, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2577,assumption,(node22(c_e_h_1, c_k, s1, s2)), introduced(assumption)).
% 77.64/49.92 tff(2578,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node22(c_e_h_1, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node22(c_e_h_1, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2579,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node22(c_e_h_1, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2580,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node22(c_e_h_1, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 77.64/49.92 tff(2581,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2580, 437, 2577, 2547, 2576])).
% 77.64/49.92 tff(2582,plain,((~node22(c_e_h_1, c_k, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2583,plain,
% 77.64/49.92 (~node22(c_e_h_1, c_k, s1, s2)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2582, 2547])).
% 77.64/49.92 tff(2584,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_k, s1, s2) | node22(c_e_h_1, c_k, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_k, s1, s2) | node22(c_e_h_1, c_k, s1, s2))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2585,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_k, s1, s2) | node22(c_e_h_1, c_k, s1, s2))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2586,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_k, s1, s2) | node22(c_e_h_1, c_k, s1, s2)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 77.64/49.92 tff(2587,plain,
% 77.64/49.92 (node21(c_e_h_1, c_k, s1, s2) | node22(c_e_h_1, c_k, s1, s2)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2586, 383, 265])).
% 77.64/49.92 tff(2588,plain,
% 77.64/49.92 (node21(c_e_h_1, c_k, s1, s2)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2587, 2583])).
% 77.64/49.92 tff(2589,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node21(c_e_h_1, c_k, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node21(c_e_h_1, c_k, s1, s2)))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2590,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node21(c_e_h_1, c_k, s1, s2)))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2591,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | (~node21(c_e_h_1, c_k, s1, s2))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 77.64/49.92 tff(2592,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2591, 348, 2588, 2547, 2546])).
% 77.64/49.92 tff(2593,plain,(~m_and_h_gate_v_out(c_e_h_1, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2594,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s3)), introduced(assumption)).
% 77.64/49.92 tff(2595,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s2)), introduced(assumption)).
% 77.64/49.92 tff(2596,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s1)), introduced(assumption)).
% 77.64/49.92 tff(2597,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s0)), introduced(assumption)).
% 77.64/49.92 tff(2598,plain,
% 77.64/49.92 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2599,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2598, 956, 2597])).
% 77.64/49.92 tff(2600,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2601,plain,
% 77.64/49.92 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2602,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2603,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2602, 2601])).
% 77.64/49.92 tff(2604,plain,
% 77.64/49.92 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s0)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2603, 966, 2600])).
% 77.64/49.92 tff(2605,plain,
% 77.64/49.92 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2606,plain,
% 77.64/49.92 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2607,plain,
% 77.64/49.92 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 77.64/49.92 tff(2608,plain,
% 77.64/49.92 (~node20(c_e_h_1, c_d, s0)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2607, 22, 2604])).
% 77.64/49.92 tff(2609,assumption,(node21(c_e_h_1, c_d, s0, s1)), introduced(assumption)).
% 77.64/49.92 tff(2610,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2611,plain,
% 77.64/49.92 ((node20(c_e_h_1, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node21(c_e_h_1, c_d, s0, s1))) <=> (node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2612,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node21(c_e_h_1, c_d, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1))))),
% 77.64/49.92 inference(monotonicity,[status(thm)],[2611])).
% 77.64/49.92 tff(2613,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node21(c_e_h_1, c_d, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)))),
% 77.64/49.92 inference(transitivity,[status(thm)],[2612, 2610])).
% 77.64/49.92 tff(2614,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node21(c_e_h_1, c_d, s0, s1)))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2615,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s0) | (~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 77.64/49.92 tff(2616,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2615, 348, 2609, 2608, 2596])).
% 77.64/49.92 tff(2617,plain,((~node21(c_e_h_1, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2618,plain,
% 77.64/49.92 (~node21(c_e_h_1, c_d, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2617, 2596])).
% 77.64/49.92 tff(2619,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_d, s0, s1) | node22(c_e_h_1, c_d, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_d, s0, s1) | node22(c_e_h_1, c_d, s0, s1))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2620,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_d, s0, s1) | node22(c_e_h_1, c_d, s0, s1))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2621,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_d, s0, s1) | node22(c_e_h_1, c_d, s0, s1)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2620, 2619])).
% 77.64/49.92 tff(2622,plain,
% 77.64/49.92 (node21(c_e_h_1, c_d, s0, s1) | node22(c_e_h_1, c_d, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2621, 383, 183])).
% 77.64/49.92 tff(2623,plain,
% 77.64/49.92 (node22(c_e_h_1, c_d, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2622, 2618])).
% 77.64/49.92 tff(2624,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node22(c_e_h_1, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node22(c_e_h_1, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2625,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node22(c_e_h_1, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2626,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s1)) | (~node22(c_e_h_1, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 77.64/49.92 tff(2627,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2626, 437, 2494, 2623, 2596])).
% 77.64/49.92 tff(2628,plain,(~m_and_h_gate_v_out(c_e_h_1, c_d, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2629,plain,
% 77.64/49.92 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2630,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2631,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 77.64/49.92 tff(2632,plain,
% 77.64/49.92 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2631, 2501, 2628])).
% 77.64/49.92 tff(2633,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s1)), introduced(assumption)).
% 77.64/49.92 tff(2634,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s0)), introduced(assumption)).
% 77.64/49.92 tff(2635,plain,
% 77.64/49.92 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2636,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2635, 956, 2634])).
% 77.64/49.92 tff(2637,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2638,plain,
% 77.64/49.92 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X)) <=> ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X)))),
% 77.64/49.92 inference(bind,[status(th)],[])).
% 77.64/49.92 tff(2639,plain,
% 77.64/49.92 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))),
% 77.64/49.92 inference(quant_intro,[status(thm)],[2638])).
% 77.64/49.92 tff(2640,plain,
% 77.64/49.92 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2641,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_11')).
% 77.64/49.92 tff(2642,plain,
% 77.64/49.92 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2641, 2640])).
% 77.64/49.92 tff(2643,plain,(
% 77.64/49.92 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))),
% 77.64/49.92 inference(skolemize,[status(sab)],[2642])).
% 77.64/49.92 tff(2644,plain,
% 77.64/49.92 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2643, 2639])).
% 77.64/49.92 tff(2645,plain,
% 77.64/49.92 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2646,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2647,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 77.64/49.92 tff(2648,plain,
% 77.64/49.92 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s0)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2647, 2644, 2637])).
% 77.64/49.92 tff(2649,plain,
% 77.64/49.92 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2650,plain,
% 77.64/49.92 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2651,plain,
% 77.64/49.92 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2650, 2649])).
% 77.64/49.92 tff(2652,plain,
% 77.64/49.92 (~node20(c_e_h_1, c_c, s0)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2651, 22, 2648])).
% 77.64/49.92 tff(2653,assumption,(node22(c_e_h_1, c_c, s0, s1)), introduced(assumption)).
% 77.64/49.92 tff(2654,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node22(c_e_h_1, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node22(c_e_h_1, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2655,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node22(c_e_h_1, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2656,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node22(c_e_h_1, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 77.64/49.92 tff(2657,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2656, 437, 2479, 2653, 2633])).
% 77.64/49.92 tff(2658,plain,((~node22(c_e_h_1, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2659,plain,
% 77.64/49.92 (~node22(c_e_h_1, c_c, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2658, 2633])).
% 77.64/49.92 tff(2660,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_c, s0, s1) | node22(c_e_h_1, c_c, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_c, s0, s1) | node22(c_e_h_1, c_c, s0, s1))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2661,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_c, s0, s1) | node22(c_e_h_1, c_c, s0, s1))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2662,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_c, s0, s1) | node22(c_e_h_1, c_c, s0, s1)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 77.64/49.92 tff(2663,plain,
% 77.64/49.92 (node21(c_e_h_1, c_c, s0, s1) | node22(c_e_h_1, c_c, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2662, 383, 183])).
% 77.64/49.92 tff(2664,plain,
% 77.64/49.92 (node21(c_e_h_1, c_c, s0, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2663, 2659])).
% 77.64/49.92 tff(2665,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node21(c_e_h_1, c_c, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node21(c_e_h_1, c_c, s0, s1)))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2666,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node21(c_e_h_1, c_c, s0, s1)))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2667,plain,
% 77.64/49.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s1)) | (~node21(c_e_h_1, c_c, s0, s1))),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 77.64/49.92 tff(2668,plain,
% 77.64/49.92 ($false),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2667, 348, 2664, 2652, 2633])).
% 77.64/49.92 tff(2669,plain,(~m_and_h_gate_v_out(c_e_h_1, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.92 tff(2670,plain,
% 77.64/49.92 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.64/49.92 inference(rewrite,[status(thm)],[])).
% 77.64/49.92 tff(2671,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.64/49.92 inference(quant_inst,[status(thm)],[])).
% 77.64/49.92 tff(2672,plain,
% 77.64/49.92 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1)),
% 77.64/49.92 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 77.64/49.92 tff(2673,plain,
% 77.64/49.92 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s1)),
% 77.64/49.92 inference(unit_resolution,[status(thm)],[2672, 2486, 2669])).
% 77.64/49.92 tff(2674,assumption,(node5(c_e_h_1, c_g, s1, s2)), introduced(assumption)).
% 77.64/49.92 tff(2675,plain,
% 77.64/49.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2676,plain,
% 77.64/49.93 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s1) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | (~node5(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2677,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s1) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | (~node5(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1)))),
% 77.64/49.93 inference(monotonicity,[status(thm)],[2676])).
% 77.64/49.93 tff(2678,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s1) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | (~node5(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1))),
% 77.64/49.93 inference(transitivity,[status(thm)],[2677, 2675])).
% 77.64/49.93 tff(2679,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s1) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | (~node5(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2680,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node5(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s1) | m_or_h_gate_v_in1(c_e_h_1, c_g, s1)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 77.64/49.93 tff(2681,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2680, 1888, 2674, 2595, 2673, 2632])).
% 77.64/49.93 tff(2682,plain,((~node5(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2683,plain,
% 77.64/49.93 (~node5(c_e_h_1, c_g, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2682, 2595])).
% 77.64/49.93 tff(2684,assumption,(node6(c_e_h_1, c_g, s1, s2)), introduced(assumption)).
% 77.64/49.93 tff(2685,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s1)), introduced(assumption)).
% 77.64/49.93 tff(2686,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2)))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2687,plain,
% 77.64/49.93 (((~node6(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2)))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2688,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2))))),
% 77.64/49.93 inference(monotonicity,[status(thm)],[2687])).
% 77.64/49.93 tff(2689,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2)))),
% 77.64/49.93 inference(transitivity,[status(thm)],[2688, 2686])).
% 77.64/49.93 tff(2690,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2691,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2)) | (~node6(c_e_h_1, c_g, s1, s2))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 77.64/49.93 tff(2692,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2691, 1851, 2685, 2684, 2595])).
% 77.64/49.93 tff(2693,plain,((~node6(c_e_h_1, c_g, s1, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2694,plain,
% 77.64/49.93 (~node6(c_e_h_1, c_g, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2693, 2595, 2531])).
% 77.64/49.93 tff(2695,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2696,plain,
% 77.64/49.93 ((node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2697,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2)))),
% 77.64/49.93 inference(monotonicity,[status(thm)],[2696])).
% 77.64/49.93 tff(2698,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2))),
% 77.64/49.93 inference(transitivity,[status(thm)],[2697, 2695])).
% 77.64/49.93 tff(2699,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2) | (~trans(s1, s2)))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2700,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 77.64/49.93 tff(2701,plain,
% 77.64/49.93 (node6(c_e_h_1, c_g, s1, s2) | node5(c_e_h_1, c_g, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2700, 1870, 265])).
% 77.64/49.93 tff(2702,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2701, 2694, 2683])).
% 77.64/49.93 tff(2703,plain,(~m_or_h_gate_v_out(c_e_h_1, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2704,plain,
% 77.64/49.93 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2705,plain,
% 77.64/49.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2706,plain,
% 77.64/49.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 77.64/49.93 tff(2707,plain,
% 77.64/49.93 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2706, 2538, 2703])).
% 77.64/49.93 tff(2708,plain,
% 77.64/49.93 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2709,plain,
% 77.64/49.93 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s2))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2710,plain,
% 77.64/49.93 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s2)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 77.64/49.93 tff(2711,plain,
% 77.64/49.93 (~node20(c_e_h_1, c_k, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2710, 22, 2707])).
% 77.64/49.93 tff(2712,assumption,(node21(c_e_h_1, c_k, s2, s3)), introduced(assumption)).
% 77.64/49.93 tff(2713,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node21(c_e_h_1, c_k, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node21(c_e_h_1, c_k, s2, s3)))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2714,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node21(c_e_h_1, c_k, s2, s3)))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2715,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node21(c_e_h_1, c_k, s2, s3))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 77.64/49.93 tff(2716,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2715, 348, 2712, 2594, 2711])).
% 77.64/49.93 tff(2717,plain,((~node21(c_e_h_1, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2718,plain,
% 77.64/49.93 (~node21(c_e_h_1, c_k, s2, s3)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2717, 2594])).
% 77.64/49.93 tff(2719,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s2)), introduced(assumption)).
% 77.64/49.93 tff(2720,assumption,(node22(c_e_h_1, c_k, s2, s3)), introduced(assumption)).
% 77.64/49.93 tff(2721,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node22(c_e_h_1, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node22(c_e_h_1, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2722,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node22(c_e_h_1, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2723,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~node22(c_e_h_1, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 77.64/49.93 tff(2724,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2723, 437, 2720, 2719, 2594])).
% 77.64/49.93 tff(2725,plain,((~node22(c_e_h_1, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2726,plain,
% 77.64/49.93 (~node22(c_e_h_1, c_k, s2, s3)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2725, 2594, 2719])).
% 77.64/49.93 tff(2727,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_k, s2, s3) | node22(c_e_h_1, c_k, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_k, s2, s3) | node22(c_e_h_1, c_k, s2, s3))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2728,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_k, s2, s3) | node22(c_e_h_1, c_k, s2, s3))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2729,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_k, s2, s3) | node22(c_e_h_1, c_k, s2, s3)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 77.64/49.93 tff(2730,plain,
% 77.64/49.93 (node21(c_e_h_1, c_k, s2, s3) | node22(c_e_h_1, c_k, s2, s3)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2729, 383, 463])).
% 77.64/49.93 tff(2731,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2730, 2726, 2718])).
% 77.64/49.93 tff(2732,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2733,plain,
% 77.64/49.93 (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2732, 2593])).
% 77.64/49.93 tff(2734,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s2)), introduced(assumption)).
% 77.64/49.93 tff(2735,assumption,(node22(c_e_h_1, c_c, s1, s2)), introduced(assumption)).
% 77.64/49.93 tff(2736,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node22(c_e_h_1, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node22(c_e_h_1, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2737,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node22(c_e_h_1, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2738,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node22(c_e_h_1, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 77.64/49.93 tff(2739,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2738, 437, 2669, 2734, 2735])).
% 77.64/49.93 tff(2740,plain,((~node22(c_e_h_1, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2741,plain,
% 77.64/49.93 (~node22(c_e_h_1, c_c, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2740, 2734])).
% 77.64/49.93 tff(2742,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_c, s1, s2) | node22(c_e_h_1, c_c, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_c, s1, s2) | node22(c_e_h_1, c_c, s1, s2))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2743,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_c, s1, s2) | node22(c_e_h_1, c_c, s1, s2))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2744,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_c, s1, s2) | node22(c_e_h_1, c_c, s1, s2)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 77.64/49.93 tff(2745,plain,
% 77.64/49.93 (node21(c_e_h_1, c_c, s1, s2) | node22(c_e_h_1, c_c, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2744, 383, 265])).
% 77.64/49.93 tff(2746,plain,
% 77.64/49.93 (node21(c_e_h_1, c_c, s1, s2)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2745, 2741])).
% 77.64/49.93 tff(2747,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s1)), introduced(assumption)).
% 77.64/49.93 tff(2748,assumption,(m_user_v_req(c_e_h_1, c_u, s0)), introduced(assumption)).
% 77.64/49.93 tff(2749,plain,
% 77.64/49.93 (^[I0: $i, I1: $i] : refl((~m_user_v_req(I0, I1, s0)) <=> (~m_user_v_req(I0, I1, s0)))),
% 77.64/49.93 inference(bind,[status(th)],[])).
% 77.64/49.93 tff(2750,plain,
% 77.64/49.93 (![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))),
% 77.64/49.93 inference(quant_intro,[status(thm)],[2749])).
% 77.64/49.93 tff(2751,plain,
% 77.64/49.93 (![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0)) <=> ![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2752,axiom,(![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_user_1')).
% 77.64/49.93 tff(2753,plain,
% 77.64/49.93 (![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 77.64/49.93 tff(2754,plain,(
% 77.64/49.93 ![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))),
% 77.64/49.93 inference(skolemize,[status(sab)],[2753])).
% 77.64/49.93 tff(2755,plain,
% 77.64/49.93 (![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2754, 2750])).
% 77.64/49.93 tff(2756,plain,
% 77.64/49.93 ((~![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))) | (~m_user_v_req(c_e_h_1, c_u, s0))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2757,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2756, 2755, 2748])).
% 77.64/49.93 tff(2758,plain,(~m_user_v_req(c_e_h_1, c_u, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2759,plain,
% 77.64/49.93 (^[I0: $i, X: $i] : refl(((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X)) <=> ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X)))),
% 77.64/49.93 inference(bind,[status(th)],[])).
% 77.64/49.93 tff(2760,plain,
% 77.64/49.93 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))),
% 77.64/49.93 inference(quant_intro,[status(thm)],[2759])).
% 77.64/49.93 tff(2761,plain,
% 77.64/49.93 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2762,axiom,(![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_2')).
% 77.64/49.93 tff(2763,plain,
% 77.64/49.93 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 77.64/49.93 tff(2764,plain,(
% 77.64/49.93 ![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))),
% 77.64/49.93 inference(skolemize,[status(sab)],[2763])).
% 77.64/49.93 tff(2765,plain,
% 77.64/49.93 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2764, 2760])).
% 77.64/49.93 tff(2766,plain,
% 77.64/49.93 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s0)) | m_user_v_req(c_e_h_1, c_u, s0))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s0)) | m_user_v_req(c_e_h_1, c_u, s0))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2767,plain,
% 77.64/49.93 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s0)) | m_user_v_req(c_e_h_1, c_u, s0))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2768,plain,
% 77.64/49.93 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s0)) | m_user_v_req(c_e_h_1, c_u, s0)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 77.64/49.93 tff(2769,plain,
% 77.64/49.93 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s0)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2768, 2765, 2758])).
% 77.64/49.93 tff(2770,assumption,(node13(c_e_h_1, c_a, s0, s1)), introduced(assumption)).
% 77.64/49.93 tff(2771,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node13(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node13(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2772,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node13(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0))),
% 77.64/49.93 inference(quant_inst,[status(thm)],[])).
% 77.64/49.93 tff(2773,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node13(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s0)),
% 77.64/49.93 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 77.64/49.93 tff(2774,plain,
% 77.64/49.93 ($false),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2773, 1004, 2770, 2637, 2747])).
% 77.64/49.93 tff(2775,plain,((~node13(c_e_h_1, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.93 tff(2776,plain,
% 77.64/49.93 (~node13(c_e_h_1, c_a, s0, s1)),
% 77.64/49.93 inference(unit_resolution,[status(thm)],[2775, 2747])).
% 77.64/49.93 tff(2777,plain,
% 77.64/49.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_1, c_a, s0, s1) | node13(c_e_h_1, c_a, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_1, c_a, s0, s1) | node13(c_e_h_1, c_a, s0, s1))),
% 77.64/49.93 inference(rewrite,[status(thm)],[])).
% 77.64/49.93 tff(2778,plain,
% 77.64/49.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_1, c_a, s0, s1) | node13(c_e_h_1, c_a, s0, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2779,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_1, c_a, s0, s1) | node13(c_e_h_1, c_a, s0, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 77.64/49.94 tff(2780,plain,
% 77.64/49.94 (node12(c_e_h_1, c_a, s0, s1) | node13(c_e_h_1, c_a, s0, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2779, 1020, 183])).
% 77.64/49.94 tff(2781,plain,
% 77.64/49.94 (node12(c_e_h_1, c_a, s0, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2780, 2776])).
% 77.64/49.94 tff(2782,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2783,plain,
% 77.64/49.94 (((~node12(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2784,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1))))),
% 77.64/49.94 inference(monotonicity,[status(thm)],[2783])).
% 77.64/49.94 tff(2785,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1)))),
% 77.64/49.94 inference(transitivity,[status(thm)],[2784, 2782])).
% 77.64/49.94 tff(2786,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2787,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)) | (~node12(c_e_h_1, c_a, s0, s1))),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 77.64/49.94 tff(2788,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2787, 1082, 2781, 2769, 2747])).
% 77.64/49.94 tff(2789,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2790,plain,
% 77.64/49.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2791,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2792,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 77.64/49.94 tff(2793,plain,
% 77.64/49.94 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2792, 2644, 2789])).
% 77.64/49.94 tff(2794,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2795,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2796,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 77.64/49.94 tff(2797,plain,
% 77.64/49.94 (~node20(c_e_h_1, c_c, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2796, 22, 2793])).
% 77.64/49.94 tff(2798,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2799,plain,
% 77.64/49.94 ((node20(c_e_h_1, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2800,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1)))),
% 77.64/49.94 inference(monotonicity,[status(thm)],[2799])).
% 77.64/49.94 tff(2801,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1))),
% 77.64/49.94 inference(transitivity,[status(thm)],[2800, 2798])).
% 77.64/49.94 tff(2802,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2803,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s2)) | (~node21(c_e_h_1, c_c, s1, s2)) | node20(c_e_h_1, c_c, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 77.64/49.94 tff(2804,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2803, 348, 2797, 2734, 2746])).
% 77.64/49.94 tff(2805,plain,(~m_and_h_gate_v_out(c_e_h_1, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2806,plain,
% 77.64/49.94 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2807,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2808,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 77.64/49.94 tff(2809,plain,
% 77.64/49.94 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s2)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2808, 2486, 2805])).
% 77.64/49.94 tff(2810,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s2)), introduced(assumption)).
% 77.64/49.94 tff(2811,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s1)), introduced(assumption)).
% 77.64/49.94 tff(2812,assumption,(node12(c_e_h_1, c_b, s0, s1)), introduced(assumption)).
% 77.64/49.94 tff(2813,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s0)), introduced(assumption)).
% 77.64/49.94 tff(2814,plain,
% 77.64/49.94 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s0))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2815,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2814, 424, 2813])).
% 77.64/49.94 tff(2816,plain,(~m_and_h_gate_v_out(c_e_h_2, c_p, s0)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2817,plain,
% 77.64/49.94 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2818,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2819,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 77.64/49.94 tff(2820,plain,
% 77.64/49.94 (~m_cell_v_req(c_e_h_2, s0)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2819, 1036, 2816])).
% 77.64/49.94 tff(2821,plain,
% 77.64/49.94 (m_cell_v_left(c_e_h_1, c_e_h_2) <=> m_cell_v_left(c_e_h_1, c_e_h_2)),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2822,axiom,(m_cell_v_left(c_e_h_1, c_e_h_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_1')).
% 77.64/49.94 tff(2823,plain,
% 77.64/49.94 (m_cell_v_left(c_e_h_1, c_e_h_2)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2822, 2821])).
% 77.64/49.94 tff(2824,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s0))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2825,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s0))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2826,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s0)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 77.64/49.94 tff(2827,plain,
% 77.64/49.94 (node1(c_e_h_1, c_e_h_2, s0)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2826, 2823, 1047])).
% 77.64/49.94 tff(2828,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2829,plain,
% 77.64/49.94 (((~node1(c_e_h_1, c_e_h_2, s0)) | m_cell_v_req(c_e_h_2, s0) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0))) <=> (m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2830,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s0)) | m_cell_v_req(c_e_h_2, s0) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0))))),
% 77.64/49.94 inference(monotonicity,[status(thm)],[2829])).
% 77.64/49.94 tff(2831,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s0)) | m_cell_v_req(c_e_h_2, s0) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))),
% 77.64/49.94 inference(transitivity,[status(thm)],[2830, 2828])).
% 77.64/49.94 tff(2832,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s0)) | m_cell_v_req(c_e_h_2, s0) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2833,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s0) | (~node1(c_e_h_1, c_e_h_2, s0)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0))),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 77.64/49.94 tff(2834,plain,
% 77.64/49.94 (m_cell_v_req(c_e_h_2, s0) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0))),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2833, 1064, 2827])).
% 77.64/49.94 tff(2835,plain,
% 77.64/49.94 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s0)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2834, 2820])).
% 77.64/49.94 tff(2836,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2837,plain,
% 77.64/49.94 (((~node12(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2838,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1))))),
% 77.64/49.94 inference(monotonicity,[status(thm)],[2837])).
% 77.64/49.94 tff(2839,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))),
% 77.64/49.94 inference(transitivity,[status(thm)],[2838, 2836])).
% 77.64/49.94 tff(2840,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2841,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s0) | (~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1))),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 77.64/49.94 tff(2842,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2841, 1082, 2835, 2812, 2811])).
% 77.64/49.94 tff(2843,plain,((~node12(c_e_h_1, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2844,plain,
% 77.64/49.94 (~node12(c_e_h_1, c_b, s0, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2843, 2811])).
% 77.64/49.94 tff(2845,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_1, c_b, s0, s1) | node13(c_e_h_1, c_b, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_1, c_b, s0, s1) | node13(c_e_h_1, c_b, s0, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2846,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_1, c_b, s0, s1) | node13(c_e_h_1, c_b, s0, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2847,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_1, c_b, s0, s1) | node13(c_e_h_1, c_b, s0, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 77.64/49.94 tff(2848,plain,
% 77.64/49.94 (node12(c_e_h_1, c_b, s0, s1) | node13(c_e_h_1, c_b, s0, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2847, 1020, 183])).
% 77.64/49.94 tff(2849,plain,
% 77.64/49.94 (node13(c_e_h_1, c_b, s0, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2848, 2844])).
% 77.64/49.94 tff(2850,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)) | (~node13(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)) | (~node13(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2851,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)) | (~node13(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2852,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)) | (~node13(c_e_h_1, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s0)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 77.64/49.94 tff(2853,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2852, 1004, 2849, 2600, 2811])).
% 77.64/49.94 tff(2854,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s1)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2855,plain,
% 77.64/49.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2856,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2857,plain,
% 77.64/49.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 77.64/49.94 tff(2858,plain,
% 77.64/49.94 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2857, 966, 2854])).
% 77.64/49.94 tff(2859,plain,
% 77.64/49.94 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s1))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2860,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s1))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2861,plain,
% 77.64/49.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s1)),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 77.64/49.94 tff(2862,plain,
% 77.64/49.94 (~node20(c_e_h_1, c_d, s1)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2861, 22, 2858])).
% 77.64/49.94 tff(2863,assumption,(node21(c_e_h_1, c_d, s1, s2)), introduced(assumption)).
% 77.64/49.94 tff(2864,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node21(c_e_h_1, c_d, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node21(c_e_h_1, c_d, s1, s2)))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.94 tff(2865,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node21(c_e_h_1, c_d, s1, s2)))),
% 77.64/49.94 inference(quant_inst,[status(thm)],[])).
% 77.64/49.94 tff(2866,plain,
% 77.64/49.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node21(c_e_h_1, c_d, s1, s2))),
% 77.64/49.94 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 77.64/49.94 tff(2867,plain,
% 77.64/49.94 ($false),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2866, 348, 2810, 2863, 2862])).
% 77.64/49.94 tff(2868,plain,((~node21(c_e_h_1, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.94 tff(2869,plain,
% 77.64/49.94 (~node21(c_e_h_1, c_d, s1, s2)),
% 77.64/49.94 inference(unit_resolution,[status(thm)],[2868, 2810])).
% 77.64/49.94 tff(2870,plain,
% 77.64/49.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_d, s1, s2) | node22(c_e_h_1, c_d, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_d, s1, s2) | node22(c_e_h_1, c_d, s1, s2))),
% 77.64/49.94 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2871,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_d, s1, s2) | node22(c_e_h_1, c_d, s1, s2))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2872,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_d, s1, s2) | node22(c_e_h_1, c_d, s1, s2)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 77.64/49.95 tff(2873,plain,
% 77.64/49.95 (node21(c_e_h_1, c_d, s1, s2) | node22(c_e_h_1, c_d, s1, s2)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2872, 383, 265])).
% 77.64/49.95 tff(2874,plain,
% 77.64/49.95 (node22(c_e_h_1, c_d, s1, s2)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2873, 2869])).
% 77.64/49.95 tff(2875,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node22(c_e_h_1, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node22(c_e_h_1, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2876,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node22(c_e_h_1, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2877,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s2)) | (~node22(c_e_h_1, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 77.64/49.95 tff(2878,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2877, 437, 2628, 2810, 2874])).
% 77.64/49.95 tff(2879,plain,(~m_and_h_gate_v_out(c_e_h_1, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.95 tff(2880,plain,
% 77.64/49.95 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2881,plain,
% 77.64/49.95 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2882,plain,
% 77.64/49.95 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s2)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 77.64/49.95 tff(2883,plain,
% 77.64/49.95 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s2)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2882, 2501, 2879])).
% 77.64/49.95 tff(2884,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s3)), introduced(assumption)).
% 77.64/49.95 tff(2885,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s2)), introduced(assumption)).
% 77.64/49.95 tff(2886,assumption,(node6(c_e_h_1, c_g, s2, s3)), introduced(assumption)).
% 77.64/49.95 tff(2887,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2888,plain,
% 77.64/49.95 (((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2889,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3))))),
% 77.64/49.95 inference(monotonicity,[status(thm)],[2888])).
% 77.64/49.95 tff(2890,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(transitivity,[status(thm)],[2889, 2887])).
% 77.64/49.95 tff(2891,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2892,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2) | (~node6(c_e_h_1, c_g, s2, s3))),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 77.64/49.95 tff(2893,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2892, 1851, 2886, 2884, 2885])).
% 77.64/49.95 tff(2894,plain,((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.95 tff(2895,plain,
% 77.64/49.95 ((~node6(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2894, 2703])).
% 77.64/49.95 tff(2896,plain,
% 77.64/49.95 (~node6(c_e_h_1, c_g, s2, s3)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2895, 2884])).
% 77.64/49.95 tff(2897,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2898,plain,
% 77.64/49.95 ((node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2899,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(monotonicity,[status(thm)],[2898])).
% 77.64/49.95 tff(2900,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3))),
% 77.64/49.95 inference(transitivity,[status(thm)],[2899, 2897])).
% 77.64/49.95 tff(2901,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3) | (~trans(s2, s3)))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2902,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 77.64/49.95 tff(2903,plain,
% 77.64/49.95 (node6(c_e_h_1, c_g, s2, s3) | node5(c_e_h_1, c_g, s2, s3)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2902, 1870, 463])).
% 77.64/49.95 tff(2904,plain,
% 77.64/49.95 (node5(c_e_h_1, c_g, s2, s3)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2903, 2896])).
% 77.64/49.95 tff(2905,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2906,plain,
% 77.64/49.95 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2907,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3))))),
% 77.64/49.95 inference(monotonicity,[status(thm)],[2906])).
% 77.64/49.95 tff(2908,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)))),
% 77.64/49.95 inference(transitivity,[status(thm)],[2907, 2905])).
% 77.64/49.95 tff(2909,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2910,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s2) | m_or_h_gate_v_in2(c_e_h_1, c_g, s2) | (~node5(c_e_h_1, c_g, s2, s3))),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 77.64/49.95 tff(2911,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2910, 1888, 2904, 2884, 2883, 2809])).
% 77.64/49.95 tff(2912,plain,(~m_or_h_gate_v_out(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.95 tff(2913,plain,
% 77.64/49.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2914,plain,
% 77.64/49.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2915,plain,
% 77.64/49.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 77.64/49.95 tff(2916,plain,
% 77.64/49.95 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s3)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2915, 2538, 2912])).
% 77.64/49.95 tff(2917,plain,
% 77.64/49.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s3))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2918,plain,
% 77.64/49.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s3))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2919,plain,
% 77.64/49.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s3)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 77.64/49.95 tff(2920,plain,
% 77.64/49.95 (~node20(c_e_h_1, c_k, s3)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2919, 22, 2916])).
% 77.64/49.95 tff(2921,assumption,(~node20(c_e_h_1, c_k, s3)), introduced(assumption)).
% 77.64/49.95 tff(2922,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s4)), introduced(assumption)).
% 77.64/49.95 tff(2923,assumption,(node21(c_e_h_1, c_k, s3, s4)), introduced(assumption)).
% 77.64/49.95 tff(2924,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2925,plain,
% 77.64/49.95 ((node20(c_e_h_1, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node21(c_e_h_1, c_k, s3, s4))) <=> (node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2926,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node21(c_e_h_1, c_k, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4))))),
% 77.64/49.95 inference(monotonicity,[status(thm)],[2925])).
% 77.64/49.95 tff(2927,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node21(c_e_h_1, c_k, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)))),
% 77.64/49.95 inference(transitivity,[status(thm)],[2926, 2924])).
% 77.64/49.95 tff(2928,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node21(c_e_h_1, c_k, s3, s4)))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2929,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s3) | (~node21(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4))),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 77.64/49.95 tff(2930,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2929, 348, 2923, 2921, 2922])).
% 77.64/49.95 tff(2931,plain,((~node21(c_e_h_1, c_k, s3, s4)) | node20(c_e_h_1, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.95 tff(2932,plain,
% 77.64/49.95 (~node21(c_e_h_1, c_k, s3, s4)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2931, 2922, 2921])).
% 77.64/49.95 tff(2933,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s3)), introduced(assumption)).
% 77.64/49.95 tff(2934,assumption,(node22(c_e_h_1, c_k, s3, s4)), introduced(assumption)).
% 77.64/49.95 tff(2935,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node22(c_e_h_1, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node22(c_e_h_1, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2936,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node22(c_e_h_1, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2937,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~node22(c_e_h_1, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 77.64/49.95 tff(2938,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2937, 437, 2934, 2922, 2933])).
% 77.64/49.95 tff(2939,plain,((~node22(c_e_h_1, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.95 tff(2940,plain,
% 77.64/49.95 (~node22(c_e_h_1, c_k, s3, s4)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2939, 2922, 2933])).
% 77.64/49.95 tff(2941,plain,
% 77.64/49.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_k, s3, s4) | node22(c_e_h_1, c_k, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_k, s3, s4) | node22(c_e_h_1, c_k, s3, s4))),
% 77.64/49.95 inference(rewrite,[status(thm)],[])).
% 77.64/49.95 tff(2942,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_k, s3, s4) | node22(c_e_h_1, c_k, s3, s4))),
% 77.64/49.95 inference(quant_inst,[status(thm)],[])).
% 77.64/49.95 tff(2943,plain,
% 77.64/49.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_k, s3, s4) | node22(c_e_h_1, c_k, s3, s4)),
% 77.64/49.95 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 77.64/49.95 tff(2944,plain,
% 77.64/49.95 (node21(c_e_h_1, c_k, s3, s4) | node22(c_e_h_1, c_k, s3, s4)),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2943, 383, 711])).
% 77.64/49.95 tff(2945,plain,
% 77.64/49.95 ($false),
% 77.64/49.95 inference(unit_resolution,[status(thm)],[2944, 2940, 2932])).
% 77.64/49.95 tff(2946,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3) | node20(c_e_h_1, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2947,plain,
% 77.64/49.96 ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2946, 2920])).
% 77.64/49.96 tff(2948,plain,
% 77.64/49.96 (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2947, 2733])).
% 77.64/49.96 tff(2949,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.64/49.96 tff(2950,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s4)), introduced(assumption)).
% 77.64/49.96 tff(2951,plain,
% 77.64/49.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2952,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2953,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 77.64/49.96 tff(2954,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2953, 1380, 2950, 2949])).
% 77.64/49.96 tff(2955,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2956,plain,
% 77.64/49.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2955, 2948])).
% 77.64/49.96 tff(2957,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.64/49.96 tff(2958,assumption,(node20(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.64/49.96 tff(2959,plain,
% 77.64/49.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2960,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2961,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 77.64/49.96 tff(2962,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2961, 22, 2958, 2957])).
% 77.64/49.96 tff(2963,plain,((~node20(c_e_h_1, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2964,plain,
% 77.64/49.96 (~node20(c_e_h_1, c_p, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2963, 2956])).
% 77.64/49.96 tff(2965,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(2966,plain,
% 77.64/49.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2967,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2968,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 77.64/49.96 tff(2969,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2968, 1380, 2933, 2965])).
% 77.64/49.96 tff(2970,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2971,plain,
% 77.64/49.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2970, 2733])).
% 77.64/49.96 tff(2972,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(2973,assumption,(node20(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(2974,plain,
% 77.64/49.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2975,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2976,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 77.64/49.96 tff(2977,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2976, 22, 2973, 2972])).
% 77.64/49.96 tff(2978,plain,((~node20(c_e_h_1, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2979,plain,
% 77.64/49.96 (~node20(c_e_h_1, c_p, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2978, 2971])).
% 77.64/49.96 tff(2980,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(2981,plain,
% 77.64/49.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2982,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2983,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s1)) | m_and_h_gate_v_out(c_e_h_1, c_k, s1)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 77.64/49.96 tff(2984,plain,
% 77.64/49.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s1)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2983, 1380, 2576])).
% 77.64/49.96 tff(2985,plain,
% 77.64/49.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s1))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2986,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s1))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2987,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s1)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 77.64/49.96 tff(2988,plain,
% 77.64/49.96 (~node20(c_e_h_1, c_p, s1)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2987, 22, 2984])).
% 77.64/49.96 tff(2989,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s2)), introduced(assumption)).
% 77.64/49.96 tff(2990,assumption,(node22(c_e_h_1, c_p, s1, s2)), introduced(assumption)).
% 77.64/49.96 tff(2991,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2992,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2993,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s1)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2992, 2991])).
% 77.64/49.96 tff(2994,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2993, 437, 1405, 2989, 2990])).
% 77.64/49.96 tff(2995,plain,((~node22(c_e_h_1, c_p, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(2996,plain,
% 77.64/49.96 (~node22(c_e_h_1, c_p, s1, s2)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2995, 2989])).
% 77.64/49.96 tff(2997,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_p, s1, s2) | node22(c_e_h_1, c_p, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_p, s1, s2) | node22(c_e_h_1, c_p, s1, s2))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(2998,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_p, s1, s2) | node22(c_e_h_1, c_p, s1, s2))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(2999,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_p, s1, s2) | node22(c_e_h_1, c_p, s1, s2)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 77.64/49.96 tff(3000,plain,
% 77.64/49.96 (node21(c_e_h_1, c_p, s1, s2) | node22(c_e_h_1, c_p, s1, s2)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[2999, 383, 265])).
% 77.64/49.96 tff(3001,plain,
% 77.64/49.96 (node21(c_e_h_1, c_p, s1, s2)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3000, 2996])).
% 77.64/49.96 tff(3002,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2)))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3003,plain,
% 77.64/49.96 ((node20(c_e_h_1, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node21(c_e_h_1, c_p, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2)))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3004,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node21(c_e_h_1, c_p, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2))))),
% 77.64/49.96 inference(monotonicity,[status(thm)],[3003])).
% 77.64/49.96 tff(3005,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node21(c_e_h_1, c_p, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2)))),
% 77.64/49.96 inference(transitivity,[status(thm)],[3004, 3002])).
% 77.64/49.96 tff(3006,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node21(c_e_h_1, c_p, s1, s2)))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3007,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | node20(c_e_h_1, c_p, s1) | (~node21(c_e_h_1, c_p, s1, s2))),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 77.64/49.96 tff(3008,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3007, 348, 2989, 3001, 2988])).
% 77.64/49.96 tff(3009,plain,(~m_and_h_gate_v_out(c_e_h_1, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3010,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s2)), introduced(assumption)).
% 77.64/49.96 tff(3011,assumption,(node22(c_e_h_1, c_p, s2, s3)), introduced(assumption)).
% 77.64/49.96 tff(3012,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node22(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node22(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3013,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node22(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3014,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node22(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 77.64/49.96 tff(3015,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3014, 437, 3011, 2980, 3010])).
% 77.64/49.96 tff(3016,plain,((~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3017,plain,
% 77.64/49.96 ((~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3016, 3009])).
% 77.64/49.96 tff(3018,plain,
% 77.64/49.96 (~node22(c_e_h_1, c_p, s2, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3017, 2980])).
% 77.64/49.96 tff(3019,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s2)), introduced(assumption)).
% 77.64/49.96 tff(3020,plain,
% 77.64/49.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3021,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3022,plain,
% 77.64/49.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 77.64/49.96 tff(3023,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3022, 1380, 2719, 3019])).
% 77.64/49.96 tff(3024,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3025,plain,
% 77.64/49.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3024, 2593])).
% 77.64/49.96 tff(3026,plain,
% 77.64/49.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3027,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3028,plain,
% 77.64/49.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3027, 3026])).
% 77.64/49.96 tff(3029,plain,
% 77.64/49.96 (~node20(c_e_h_1, c_p, s2)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3028, 22, 3025])).
% 77.64/49.96 tff(3030,assumption,(~node20(c_e_h_1, c_p, s2)), introduced(assumption)).
% 77.64/49.96 tff(3031,assumption,(node21(c_e_h_1, c_p, s2, s3)), introduced(assumption)).
% 77.64/49.96 tff(3032,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s2, s3)))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3033,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s2, s3)))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3034,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s2, s3))),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 77.64/49.96 tff(3035,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3034, 348, 3031, 2980, 3030])).
% 77.64/49.96 tff(3036,plain,((~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | node20(c_e_h_1, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3037,plain,
% 77.64/49.96 (~node21(c_e_h_1, c_p, s2, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3036, 2980, 3029])).
% 77.64/49.96 tff(3038,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_p, s2, s3) | node22(c_e_h_1, c_p, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_p, s2, s3) | node22(c_e_h_1, c_p, s2, s3))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3039,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_p, s2, s3) | node22(c_e_h_1, c_p, s2, s3))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3040,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_p, s2, s3) | node22(c_e_h_1, c_p, s2, s3)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 77.64/49.96 tff(3041,plain,
% 77.64/49.96 (node21(c_e_h_1, c_p, s2, s3) | node22(c_e_h_1, c_p, s2, s3)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3040, 383, 463])).
% 77.64/49.96 tff(3042,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3041, 3037, 3018])).
% 77.64/49.96 tff(3043,plain,(~m_and_h_gate_v_out(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3044,assumption,(~node20(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(3045,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.64/49.96 tff(3046,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s3)), introduced(assumption)).
% 77.64/49.96 tff(3047,assumption,(node22(c_e_h_1, c_p, s3, s4)), introduced(assumption)).
% 77.64/49.96 tff(3048,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3049,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3050,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 77.64/49.96 tff(3051,plain,
% 77.64/49.96 ($false),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3050, 437, 3047, 3045, 3046])).
% 77.64/49.96 tff(3052,plain,((~node22(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.96 tff(3053,plain,
% 77.64/49.96 (~node22(c_e_h_1, c_p, s3, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3052, 3045, 3046])).
% 77.64/49.96 tff(3054,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_p, s3, s4) | node22(c_e_h_1, c_p, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_p, s3, s4) | node22(c_e_h_1, c_p, s3, s4))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3055,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_p, s3, s4) | node22(c_e_h_1, c_p, s3, s4))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3056,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_p, s3, s4) | node22(c_e_h_1, c_p, s3, s4)),
% 77.64/49.96 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 77.64/49.96 tff(3057,plain,
% 77.64/49.96 (node21(c_e_h_1, c_p, s3, s4) | node22(c_e_h_1, c_p, s3, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3056, 383, 711])).
% 77.64/49.96 tff(3058,plain,
% 77.64/49.96 (node21(c_e_h_1, c_p, s3, s4)),
% 77.64/49.96 inference(unit_resolution,[status(thm)],[3057, 3053])).
% 77.64/49.96 tff(3059,plain,
% 77.64/49.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s3, s4)))),
% 77.64/49.96 inference(rewrite,[status(thm)],[])).
% 77.64/49.96 tff(3060,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s3, s4)))),
% 77.64/49.96 inference(quant_inst,[status(thm)],[])).
% 77.64/49.96 tff(3061,plain,
% 77.64/49.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s3, s4))),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 77.64/49.97 tff(3062,plain,
% 77.64/49.97 ($false),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3061, 348, 3058, 3045, 3044])).
% 77.64/49.97 tff(3063,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | node20(c_e_h_1, c_p, s3) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.97 tff(3064,plain,
% 77.64/49.97 (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3063, 3043, 2979])).
% 77.64/49.97 tff(3065,assumption,(m_cell_v_req(c_e_h_1, s3)), introduced(assumption)).
% 77.64/49.97 tff(3066,plain,
% 77.64/49.97 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3067,plain,
% 77.64/49.97 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3068,plain,
% 77.64/49.97 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 77.64/49.97 tff(3069,plain,
% 77.64/49.97 ($false),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3068, 1036, 3065, 3046])).
% 77.64/49.97 tff(3070,plain,((~m_cell_v_req(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 77.64/49.97 tff(3071,plain,
% 77.64/49.97 (~m_cell_v_req(c_e_h_1, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3070, 3043])).
% 77.64/49.97 tff(3072,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s3))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3073,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s3))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3074,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s3)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 77.64/49.97 tff(3075,plain,
% 77.64/49.97 (node1(c_e_h_3, c_e_h_1, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3074, 1050, 1047])).
% 77.64/49.97 tff(3076,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3077,plain,
% 77.64/49.97 (((~node1(c_e_h_3, c_e_h_1, s3)) | m_cell_v_req(c_e_h_1, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))) <=> (m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3078,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s3)) | m_cell_v_req(c_e_h_1, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))))),
% 77.64/49.97 inference(monotonicity,[status(thm)],[3077])).
% 77.64/49.97 tff(3079,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s3)) | m_cell_v_req(c_e_h_1, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))),
% 77.64/49.97 inference(transitivity,[status(thm)],[3078, 3076])).
% 77.64/49.97 tff(3080,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s3)) | m_cell_v_req(c_e_h_1, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3081,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s3) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 77.64/49.97 tff(3082,plain,
% 77.64/49.97 (m_cell_v_req(c_e_h_1, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3081, 1064, 3075])).
% 77.64/49.97 tff(3083,plain,
% 77.64/49.97 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3082, 3071])).
% 77.64/49.97 tff(3084,plain,
% 77.64/49.97 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3085,plain,
% 77.64/49.97 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3086,plain,
% 77.64/49.97 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s2)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 77.64/49.97 tff(3087,plain,
% 77.64/49.97 (~m_cell_v_req(c_e_h_1, s2)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3086, 1036, 3009])).
% 77.64/49.97 tff(3088,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s2))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3089,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s2))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3090,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s2)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 77.64/49.97 tff(3091,plain,
% 77.64/49.97 (node1(c_e_h_3, c_e_h_1, s2)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3090, 1050, 1047])).
% 77.64/49.97 tff(3092,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3093,plain,
% 77.64/49.97 (((~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2))) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3094,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2)))),
% 77.64/49.97 inference(monotonicity,[status(thm)],[3093])).
% 77.64/49.97 tff(3095,plain,
% 77.64/49.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2))),
% 77.64/49.97 inference(transitivity,[status(thm)],[3094, 3092])).
% 77.64/49.97 tff(3096,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3097,plain,
% 77.64/49.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | (~node1(c_e_h_3, c_e_h_1, s2)) | m_cell_v_req(c_e_h_1, s2)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 77.64/49.97 tff(3098,plain,
% 77.64/49.97 ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)) | m_cell_v_req(c_e_h_1, s2)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3097, 1064, 3091])).
% 77.64/49.97 tff(3099,plain,
% 77.64/49.97 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3098, 3087])).
% 77.64/49.97 tff(3100,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s3)), introduced(assumption)).
% 77.64/49.97 tff(3101,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s2)), introduced(assumption)).
% 77.64/49.97 tff(3102,assumption,(node13(c_e_h_3, c_b, s2, s3)), introduced(assumption)).
% 77.64/49.97 tff(3103,plain,
% 77.64/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3104,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3105,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 77.64/49.97 tff(3106,plain,
% 77.64/49.97 ($false),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3105, 1004, 3102, 3101, 3100])).
% 77.64/49.97 tff(3107,plain,((~node13(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))), inference(lemma,lemma(discharge,[]))).
% 77.64/49.97 tff(3108,plain,
% 77.64/49.97 ((~node13(c_e_h_3, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3107, 1435])).
% 77.64/49.97 tff(3109,plain,
% 77.64/49.97 (~node13(c_e_h_3, c_b, s2, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3108, 3100])).
% 77.64/49.97 tff(3110,plain,
% 77.64/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_3, c_b, s2, s3) | node13(c_e_h_3, c_b, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_3, c_b, s2, s3) | node13(c_e_h_3, c_b, s2, s3))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3111,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_3, c_b, s2, s3) | node13(c_e_h_3, c_b, s2, s3))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3112,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_3, c_b, s2, s3) | node13(c_e_h_3, c_b, s2, s3)),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 77.64/49.97 tff(3113,plain,
% 77.64/49.97 (node12(c_e_h_3, c_b, s2, s3) | node13(c_e_h_3, c_b, s2, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3112, 1020, 463])).
% 77.64/49.97 tff(3114,plain,
% 77.64/49.97 (node12(c_e_h_3, c_b, s2, s3)),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3113, 3109])).
% 77.64/49.97 tff(3115,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)), introduced(assumption)).
% 77.64/49.97 tff(3116,plain,
% 77.64/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3)))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3117,plain,
% 77.64/49.97 (((~node12(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3)))),
% 77.64/49.97 inference(rewrite,[status(thm)],[])).
% 77.64/49.97 tff(3118,plain,
% 77.64/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3))))),
% 77.64/49.97 inference(monotonicity,[status(thm)],[3117])).
% 77.64/49.97 tff(3119,plain,
% 77.64/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3)))),
% 77.64/49.97 inference(transitivity,[status(thm)],[3118, 3116])).
% 77.64/49.97 tff(3120,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))),
% 77.64/49.97 inference(quant_inst,[status(thm)],[])).
% 77.64/49.97 tff(3121,plain,
% 77.64/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node12(c_e_h_3, c_b, s2, s3))),
% 77.64/49.97 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 77.64/49.97 tff(3122,plain,
% 77.64/49.97 ($false),
% 77.64/49.97 inference(unit_resolution,[status(thm)],[3121, 1082, 3115, 3114, 3100])).
% 77.64/49.97 tff(3123,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.97 tff(3124,plain,
% 77.71/49.97 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3123, 3099])).
% 77.71/49.97 tff(3125,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)), introduced(assumption)).
% 77.71/49.97 tff(3126,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), introduced(assumption)).
% 77.71/49.97 tff(3127,assumption,(node13(c_e_h_3, c_b, s3, s4)), introduced(assumption)).
% 77.71/49.97 tff(3128,plain,
% 77.71/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(rewrite,[status(thm)],[])).
% 77.71/49.97 tff(3129,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(quant_inst,[status(thm)],[])).
% 77.71/49.97 tff(3130,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 77.71/49.97 inference(modus_ponens,[status(thm)],[3129, 3128])).
% 77.71/49.97 tff(3131,plain,
% 77.71/49.97 ($false),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3130, 1004, 3127, 3126, 3125])).
% 77.71/49.97 tff(3132,plain,((~node13(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.97 tff(3133,plain,
% 77.71/49.97 (~node13(c_e_h_3, c_b, s3, s4)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3132, 3126, 3125])).
% 77.71/49.97 tff(3134,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)), introduced(assumption)).
% 77.71/49.97 tff(3135,assumption,(node12(c_e_h_3, c_b, s3, s4)), introduced(assumption)).
% 77.71/49.97 tff(3136,plain,
% 77.71/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(rewrite,[status(thm)],[])).
% 77.71/49.97 tff(3137,plain,
% 77.71/49.97 (((~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(rewrite,[status(thm)],[])).
% 77.71/49.97 tff(3138,plain,
% 77.71/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)))),
% 77.71/49.97 inference(monotonicity,[status(thm)],[3137])).
% 77.71/49.97 tff(3139,plain,
% 77.71/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(transitivity,[status(thm)],[3138, 3136])).
% 77.71/49.97 tff(3140,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))),
% 77.71/49.97 inference(quant_inst,[status(thm)],[])).
% 77.71/49.97 tff(3141,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 77.71/49.97 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 77.71/49.97 tff(3142,plain,
% 77.71/49.97 ($false),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3141, 1082, 3135, 3134, 3126])).
% 77.71/49.97 tff(3143,plain,((~node12(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4))), inference(lemma,lemma(discharge,[]))).
% 77.71/49.97 tff(3144,plain,
% 77.71/49.97 (~node12(c_e_h_3, c_b, s3, s4)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3143, 3126, 3134])).
% 77.71/49.97 tff(3145,plain,
% 77.71/49.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_3, c_b, s3, s4) | node13(c_e_h_3, c_b, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_3, c_b, s3, s4) | node13(c_e_h_3, c_b, s3, s4))),
% 77.71/49.97 inference(rewrite,[status(thm)],[])).
% 77.71/49.97 tff(3146,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_3, c_b, s3, s4) | node13(c_e_h_3, c_b, s3, s4))),
% 77.71/49.97 inference(quant_inst,[status(thm)],[])).
% 77.71/49.97 tff(3147,plain,
% 77.71/49.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_3, c_b, s3, s4) | node13(c_e_h_3, c_b, s3, s4)),
% 77.71/49.97 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 77.71/49.97 tff(3148,plain,
% 77.71/49.97 (node12(c_e_h_3, c_b, s3, s4) | node13(c_e_h_3, c_b, s3, s4)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3147, 1020, 711])).
% 77.71/49.97 tff(3149,plain,
% 77.71/49.97 ($false),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3148, 3144, 3133])).
% 77.71/49.97 tff(3150,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.97 tff(3151,plain,
% 77.71/49.97 ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3150, 3124])).
% 77.71/49.97 tff(3152,plain,
% 77.71/49.97 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3151, 3083])).
% 77.71/49.97 tff(3153,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.97 tff(3154,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.71/49.97 tff(3155,plain,
% 77.71/49.97 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(rewrite,[status(thm)],[])).
% 77.71/49.97 tff(3156,plain,
% 77.71/49.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 77.71/49.97 inference(quant_inst,[status(thm)],[])).
% 77.71/49.97 tff(3157,plain,
% 77.71/49.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 77.71/49.97 inference(modus_ponens,[status(thm)],[3156, 3155])).
% 77.71/49.97 tff(3158,plain,
% 77.71/49.97 ($false),
% 77.71/49.97 inference(unit_resolution,[status(thm)],[3157, 966, 3125, 3154])).
% 77.71/49.97 tff(3159,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3160,plain,
% 77.71/49.98 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3159, 3125])).
% 77.71/49.98 tff(3161,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.71/49.98 tff(3162,assumption,(node20(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.71/49.98 tff(3163,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s3))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3164,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s3))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3165,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s3)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 77.71/49.98 tff(3166,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3165, 22, 3162, 3161])).
% 77.71/49.98 tff(3167,plain,((~node20(c_e_h_3, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3168,plain,
% 77.71/49.98 (~node20(c_e_h_3, c_d, s3)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3167, 3160])).
% 77.71/49.98 tff(3169,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3170,assumption,(node22(c_e_h_3, c_d, s3, s4)), introduced(assumption)).
% 77.71/49.98 tff(3171,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node22(c_e_h_3, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node22(c_e_h_3, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3172,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node22(c_e_h_3, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3173,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node22(c_e_h_3, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 77.71/49.98 tff(3174,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3173, 437, 3170, 3169, 1471])).
% 77.71/49.98 tff(3175,plain,((~node22(c_e_h_3, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3176,plain,
% 77.71/49.98 (~node22(c_e_h_3, c_d, s3, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3175, 3169, 1471])).
% 77.71/49.98 tff(3177,assumption,(~node20(c_e_h_3, c_d, s3)), introduced(assumption)).
% 77.71/49.98 tff(3178,assumption,(node21(c_e_h_3, c_d, s3, s4)), introduced(assumption)).
% 77.71/49.98 tff(3179,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node21(c_e_h_3, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node21(c_e_h_3, c_d, s3, s4)))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3180,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node21(c_e_h_3, c_d, s3, s4)))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3181,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | (~node21(c_e_h_3, c_d, s3, s4))),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3180, 3179])).
% 77.71/49.98 tff(3182,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3181, 348, 3178, 3169, 3177])).
% 77.71/49.98 tff(3183,plain,((~node21(c_e_h_3, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | node20(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3184,plain,
% 77.71/49.98 (~node21(c_e_h_3, c_d, s3, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3183, 3169, 3177])).
% 77.71/49.98 tff(3185,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_d, s3, s4) | node22(c_e_h_3, c_d, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_d, s3, s4) | node22(c_e_h_3, c_d, s3, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3186,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_d, s3, s4) | node22(c_e_h_3, c_d, s3, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3187,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_d, s3, s4) | node22(c_e_h_3, c_d, s3, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3186, 3185])).
% 77.71/49.98 tff(3188,plain,
% 77.71/49.98 (node21(c_e_h_3, c_d, s3, s4) | node22(c_e_h_3, c_d, s3, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3187, 383, 711])).
% 77.71/49.98 tff(3189,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3188, 3184, 3176])).
% 77.71/49.98 tff(3190,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | node20(c_e_h_3, c_d, s3) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3191,plain,
% 77.71/49.98 ((~m_and_h_gate_v_out(c_e_h_3, c_d, s4)) | node20(c_e_h_3, c_d, s3)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3190, 1470])).
% 77.71/49.98 tff(3192,plain,
% 77.71/49.98 (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3191, 3168])).
% 77.71/49.98 tff(3193,plain,
% 77.71/49.98 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3150, 3125, 3134])).
% 77.71/49.98 tff(3194,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3195,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), introduced(assumption)).
% 77.71/49.98 tff(3196,plain,
% 77.71/49.98 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3197,plain,
% 77.71/49.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3198,plain,
% 77.71/49.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 77.71/49.98 tff(3199,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3198, 966, 3195, 3194])).
% 77.71/49.98 tff(3200,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3201,plain,
% 77.71/49.98 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3200, 3193])).
% 77.71/49.98 tff(3202,assumption,(node20(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3203,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3204,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3205,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3206,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 77.71/49.98 tff(3207,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3206, 22, 3203, 3202])).
% 77.71/49.98 tff(3208,plain,((~node20(c_e_h_3, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3209,plain,
% 77.71/49.98 (~node20(c_e_h_3, c_d, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3208, 3201])).
% 77.71/49.98 tff(3210,assumption,(~node20(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3211,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s4)), introduced(assumption)).
% 77.71/49.98 tff(3212,assumption,(node22(c_e_h_3, c_d, s4, s5)), introduced(assumption)).
% 77.71/49.98 tff(3213,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node22(c_e_h_3, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node22(c_e_h_3, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3214,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node22(c_e_h_3, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3215,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node22(c_e_h_3, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3214, 3213])).
% 77.71/49.98 tff(3216,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3215, 437, 3211, 3212, 3153])).
% 77.71/49.98 tff(3217,plain,((~node22(c_e_h_3, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5))), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3218,plain,
% 77.71/49.98 (~node22(c_e_h_3, c_d, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3217, 3153, 3211])).
% 77.71/49.98 tff(3219,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_d, s4, s5) | node22(c_e_h_3, c_d, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_d, s4, s5) | node22(c_e_h_3, c_d, s4, s5))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3220,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_d, s4, s5) | node22(c_e_h_3, c_d, s4, s5))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3221,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_d, s4, s5) | node22(c_e_h_3, c_d, s4, s5)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 77.71/49.98 tff(3222,plain,
% 77.71/49.98 (node21(c_e_h_3, c_d, s4, s5) | node22(c_e_h_3, c_d, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3221, 383, 930])).
% 77.71/49.98 tff(3223,plain,
% 77.71/49.98 (node21(c_e_h_3, c_d, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3222, 3218])).
% 77.71/49.98 tff(3224,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node21(c_e_h_3, c_d, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node21(c_e_h_3, c_d, s4, s5)))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3225,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node21(c_e_h_3, c_d, s4, s5)))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3226,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | (~node21(c_e_h_3, c_d, s4, s5))),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 77.71/49.98 tff(3227,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3226, 348, 3223, 3153, 3210])).
% 77.71/49.98 tff(3228,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | node20(c_e_h_3, c_d, s4) | m_and_h_gate_v_out(c_e_h_3, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3229,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3228, 3209, 3192, 3153])).
% 77.71/49.98 tff(3230,plain,(m_mutex_h_half_v_out(c_e_h_3, c_b, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3231,plain,
% 77.71/49.98 ((~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3230, 3124])).
% 77.71/49.98 tff(3232,plain,
% 77.71/49.98 (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3231, 3083])).
% 77.71/49.98 tff(3233,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s7)), introduced(assumption)).
% 77.71/49.98 tff(3234,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.98 tff(3235,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.71/49.98 tff(3236,assumption,(m_cell_v_req(c_e_h_1, s4)), introduced(assumption)).
% 77.71/49.98 tff(3237,plain,
% 77.71/49.98 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3238,plain,
% 77.71/49.98 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3239,plain,
% 77.71/49.98 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 77.71/49.98 tff(3240,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3239, 1036, 3236, 3235])).
% 77.71/49.98 tff(3241,plain,((~m_cell_v_req(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3242,plain,
% 77.71/49.98 (~m_cell_v_req(c_e_h_1, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3241, 3235])).
% 77.71/49.98 tff(3243,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3244,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3245,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 77.71/49.98 tff(3246,plain,
% 77.71/49.98 (node1(c_e_h_3, c_e_h_1, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3245, 1050, 1047])).
% 77.71/49.98 tff(3247,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3248,plain,
% 77.71/49.98 (((~node1(c_e_h_3, c_e_h_1, s4)) | m_cell_v_req(c_e_h_1, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4))) <=> ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3249,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | m_cell_v_req(c_e_h_1, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4)))),
% 77.71/49.98 inference(monotonicity,[status(thm)],[3248])).
% 77.71/49.98 tff(3250,plain,
% 77.71/49.98 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | m_cell_v_req(c_e_h_1, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4))),
% 77.71/49.98 inference(transitivity,[status(thm)],[3249, 3247])).
% 77.71/49.98 tff(3251,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | m_cell_v_req(c_e_h_1, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3252,plain,
% 77.71/49.98 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 77.71/49.98 tff(3253,plain,
% 77.71/49.98 ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_cell_v_req(c_e_h_1, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3252, 1064, 3246])).
% 77.71/49.98 tff(3254,plain,
% 77.71/49.98 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3253, 3242])).
% 77.71/49.98 tff(3255,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), introduced(assumption)).
% 77.71/49.98 tff(3256,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)), introduced(assumption)).
% 77.71/49.98 tff(3257,assumption,(node13(c_e_h_3, c_b, s4, s5)), introduced(assumption)).
% 77.71/49.98 tff(3258,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3259,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3260,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 77.71/49.98 tff(3261,plain,
% 77.71/49.98 ($false),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3260, 1004, 3257, 3195, 3255])).
% 77.71/49.98 tff(3262,plain,((~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5))), inference(lemma,lemma(discharge,[]))).
% 77.71/49.98 tff(3263,plain,
% 77.71/49.98 (~node13(c_e_h_3, c_b, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3262, 3255, 3195])).
% 77.71/49.98 tff(3264,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_3, c_b, s4, s5) | node13(c_e_h_3, c_b, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_3, c_b, s4, s5) | node13(c_e_h_3, c_b, s4, s5))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3265,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_3, c_b, s4, s5) | node13(c_e_h_3, c_b, s4, s5))),
% 77.71/49.98 inference(quant_inst,[status(thm)],[])).
% 77.71/49.98 tff(3266,plain,
% 77.71/49.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_3, c_b, s4, s5) | node13(c_e_h_3, c_b, s4, s5)),
% 77.71/49.98 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 77.71/49.98 tff(3267,plain,
% 77.71/49.98 (node12(c_e_h_3, c_b, s4, s5) | node13(c_e_h_3, c_b, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3266, 1020, 930])).
% 77.71/49.98 tff(3268,plain,
% 77.71/49.98 (node12(c_e_h_3, c_b, s4, s5)),
% 77.71/49.98 inference(unit_resolution,[status(thm)],[3267, 3263])).
% 77.71/49.98 tff(3269,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3270,plain,
% 77.71/49.98 (((~node12(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 77.71/49.98 inference(rewrite,[status(thm)],[])).
% 77.71/49.98 tff(3271,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5))))),
% 77.71/49.98 inference(monotonicity,[status(thm)],[3270])).
% 77.71/49.98 tff(3272,plain,
% 77.71/49.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 77.71/49.99 inference(transitivity,[status(thm)],[3271, 3269])).
% 77.71/49.99 tff(3273,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3274,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s4, s5))),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 77.71/49.99 tff(3275,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3274, 1082, 3268, 3256, 3255])).
% 77.71/49.99 tff(3276,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3277,plain,
% 77.71/49.99 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3276, 3254, 3195])).
% 77.71/49.99 tff(3278,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.99 tff(3279,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), introduced(assumption)).
% 77.71/49.99 tff(3280,plain,
% 77.71/49.99 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3281,plain,
% 77.71/49.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3282,plain,
% 77.71/49.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 77.71/49.99 tff(3283,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3282, 966, 3279, 3278])).
% 77.71/49.99 tff(3284,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3285,plain,
% 77.71/49.99 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3284, 3277])).
% 77.71/49.99 tff(3286,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.99 tff(3287,assumption,(node20(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.99 tff(3288,plain,
% 77.71/49.99 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s5))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3289,plain,
% 77.71/49.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s5))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3290,plain,
% 77.71/49.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 77.71/49.99 tff(3291,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3290, 22, 3287, 3286])).
% 77.71/49.99 tff(3292,plain,((~node20(c_e_h_3, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3293,plain,
% 77.71/49.99 (~node20(c_e_h_3, c_d, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3292, 3285])).
% 77.71/49.99 tff(3294,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s6)), introduced(assumption)).
% 77.71/49.99 tff(3295,assumption,(node22(c_e_h_3, c_d, s5, s6)), introduced(assumption)).
% 77.71/49.99 tff(3296,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node22(c_e_h_3, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node22(c_e_h_3, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3297,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node22(c_e_h_3, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3298,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node22(c_e_h_3, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 77.71/49.99 tff(3299,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3298, 437, 3295, 3234, 3294])).
% 77.71/49.99 tff(3300,plain,((~node22(c_e_h_3, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3301,plain,
% 77.71/49.99 (~node22(c_e_h_3, c_d, s5, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3300, 3294, 3234])).
% 77.71/49.99 tff(3302,assumption,(~node20(c_e_h_3, c_d, s5)), introduced(assumption)).
% 77.71/49.99 tff(3303,assumption,(node21(c_e_h_3, c_d, s5, s6)), introduced(assumption)).
% 77.71/49.99 tff(3304,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s5, s6)))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3305,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s5, s6)))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3306,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s5, s6))),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 77.71/49.99 tff(3307,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3306, 348, 3303, 3294, 3302])).
% 77.71/49.99 tff(3308,plain,((~node21(c_e_h_3, c_d, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | node20(c_e_h_3, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3309,plain,
% 77.71/49.99 (~node21(c_e_h_3, c_d, s5, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3308, 3294, 3302])).
% 77.71/49.99 tff(3310,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_d, s5, s6) | node22(c_e_h_3, c_d, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_d, s5, s6) | node22(c_e_h_3, c_d, s5, s6))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3311,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_d, s5, s6) | node22(c_e_h_3, c_d, s5, s6))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3312,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_d, s5, s6) | node22(c_e_h_3, c_d, s5, s6)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 77.71/49.99 tff(3313,plain,
% 77.71/49.99 (node21(c_e_h_3, c_d, s5, s6) | node22(c_e_h_3, c_d, s5, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3312, 383, 1343])).
% 77.71/49.99 tff(3314,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3313, 3309, 3301])).
% 77.71/49.99 tff(3315,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | node20(c_e_h_3, c_d, s5) | m_and_h_gate_v_out(c_e_h_3, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3316,plain,
% 77.71/49.99 (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3315, 3293, 3234])).
% 77.71/49.99 tff(3317,assumption,(node22(c_e_h_3, c_d, s6, s7)), introduced(assumption)).
% 77.71/49.99 tff(3318,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s6)), introduced(assumption)).
% 77.71/49.99 tff(3319,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node22(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node22(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3320,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node22(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3321,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node22(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 77.71/49.99 tff(3322,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3321, 437, 3318, 3317, 3233])).
% 77.71/49.99 tff(3323,plain,((~node22(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7))), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3324,plain,
% 77.71/49.99 (~node22(c_e_h_3, c_d, s6, s7)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3323, 3316, 3233])).
% 77.71/49.99 tff(3325,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_d, s6, s7) | node22(c_e_h_3, c_d, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_d, s6, s7) | node22(c_e_h_3, c_d, s6, s7))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3326,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_d, s6, s7) | node22(c_e_h_3, c_d, s6, s7))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3327,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_d, s6, s7) | node22(c_e_h_3, c_d, s6, s7)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 77.71/49.99 tff(3328,plain,
% 77.71/49.99 (node21(c_e_h_3, c_d, s6, s7) | node22(c_e_h_3, c_d, s6, s7)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3327, 383, 1685])).
% 77.71/49.99 tff(3329,plain,
% 77.71/49.99 (node21(c_e_h_3, c_d, s6, s7)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3328, 3324])).
% 77.71/49.99 tff(3330,assumption,(~node20(c_e_h_3, c_d, s6)), introduced(assumption)).
% 77.71/49.99 tff(3331,assumption,(node21(c_e_h_3, c_d, s6, s7)), introduced(assumption)).
% 77.71/49.99 tff(3332,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node21(c_e_h_3, c_d, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node21(c_e_h_3, c_d, s6, s7)))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3333,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node21(c_e_h_3, c_d, s6, s7)))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3334,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | (~node21(c_e_h_3, c_d, s6, s7))),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 77.71/49.99 tff(3335,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3334, 348, 3331, 3233, 3330])).
% 77.71/49.99 tff(3336,plain,((~node21(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | node20(c_e_h_3, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3337,plain,
% 77.71/49.99 (node20(c_e_h_3, c_d, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3336, 3329, 3233])).
% 77.71/49.99 tff(3338,plain,
% 77.71/49.99 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3339,plain,
% 77.71/49.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3340,plain,
% 77.71/49.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 77.71/49.99 tff(3341,plain,
% 77.71/49.99 (m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3340, 22, 3337])).
% 77.71/49.99 tff(3342,assumption,(~node20(c_e_h_1, c_p, s4)), introduced(assumption)).
% 77.71/49.99 tff(3343,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s5)), introduced(assumption)).
% 77.71/49.99 tff(3344,assumption,(node22(c_e_h_1, c_p, s4, s5)), introduced(assumption)).
% 77.71/49.99 tff(3345,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node22(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node22(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3346,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node22(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3347,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node22(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 77.71/49.99 tff(3348,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3347, 437, 3344, 3343, 3235])).
% 77.71/49.99 tff(3349,plain,((~node22(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3350,plain,
% 77.71/49.99 (~node22(c_e_h_1, c_p, s4, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3349, 3343, 3235])).
% 77.71/49.99 tff(3351,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_p, s4, s5) | node22(c_e_h_1, c_p, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_p, s4, s5) | node22(c_e_h_1, c_p, s4, s5))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3352,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_p, s4, s5) | node22(c_e_h_1, c_p, s4, s5))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3353,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_p, s4, s5) | node22(c_e_h_1, c_p, s4, s5)),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 77.71/49.99 tff(3354,plain,
% 77.71/49.99 (node21(c_e_h_1, c_p, s4, s5) | node22(c_e_h_1, c_p, s4, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3353, 383, 930])).
% 77.71/49.99 tff(3355,plain,
% 77.71/49.99 (node21(c_e_h_1, c_p, s4, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3354, 3350])).
% 77.71/49.99 tff(3356,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3357,plain,
% 77.71/49.99 ((node20(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node21(c_e_h_1, c_p, s4, s5))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 77.71/49.99 inference(rewrite,[status(thm)],[])).
% 77.71/49.99 tff(3358,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node21(c_e_h_1, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5))))),
% 77.71/49.99 inference(monotonicity,[status(thm)],[3357])).
% 77.71/49.99 tff(3359,plain,
% 77.71/49.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node21(c_e_h_1, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 77.71/49.99 inference(transitivity,[status(thm)],[3358, 3356])).
% 77.71/49.99 tff(3360,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 77.71/49.99 inference(quant_inst,[status(thm)],[])).
% 77.71/49.99 tff(3361,plain,
% 77.71/49.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | (~node21(c_e_h_1, c_p, s4, s5))),
% 77.71/49.99 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 77.71/49.99 tff(3362,plain,
% 77.71/49.99 ($false),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3361, 348, 3355, 3343, 3342])).
% 77.71/49.99 tff(3363,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | node20(c_e_h_1, c_p, s4) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/49.99 tff(3364,plain,
% 77.71/49.99 (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 77.71/49.99 inference(unit_resolution,[status(thm)],[3363, 3235, 3342])).
% 77.71/49.99 tff(3365,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s5)), introduced(assumption)).
% 77.71/50.00 tff(3366,assumption,(m_cell_v_req(c_e_h_1, s5)), introduced(assumption)).
% 77.71/50.00 tff(3367,plain,
% 77.71/50.00 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3368,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3369,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 77.71/50.00 tff(3370,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3369, 1036, 3366, 3365])).
% 77.71/50.00 tff(3371,plain,((~m_cell_v_req(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3372,plain,
% 77.71/50.00 (~m_cell_v_req(c_e_h_1, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3371, 3364])).
% 77.71/50.00 tff(3373,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s5))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3374,plain,
% 77.71/50.00 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s5))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3375,plain,
% 77.71/50.00 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s5)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 77.71/50.00 tff(3376,plain,
% 77.71/50.00 (node1(c_e_h_3, c_e_h_1, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3375, 1050, 1047])).
% 77.71/50.00 tff(3377,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3378,plain,
% 77.71/50.00 (((~node1(c_e_h_3, c_e_h_1, s5)) | m_cell_v_req(c_e_h_1, s5) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))) <=> (m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3379,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | m_cell_v_req(c_e_h_1, s5) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))))),
% 77.71/50.00 inference(monotonicity,[status(thm)],[3378])).
% 77.71/50.00 tff(3380,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | m_cell_v_req(c_e_h_1, s5) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))),
% 77.71/50.00 inference(transitivity,[status(thm)],[3379, 3377])).
% 77.71/50.00 tff(3381,plain,
% 77.71/50.00 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | m_cell_v_req(c_e_h_1, s5) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3382,plain,
% 77.71/50.00 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_1, s5) | (~node1(c_e_h_3, c_e_h_1, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 77.71/50.00 tff(3383,plain,
% 77.71/50.00 (m_cell_v_req(c_e_h_1, s5) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3382, 1064, 3376])).
% 77.71/50.00 tff(3384,plain,
% 77.71/50.00 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3383, 3372])).
% 77.71/50.00 tff(3385,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)), introduced(assumption)).
% 77.71/50.00 tff(3386,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), introduced(assumption)).
% 77.71/50.00 tff(3387,assumption,(node12(c_e_h_3, c_b, s5, s6)), introduced(assumption)).
% 77.71/50.00 tff(3388,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3389,plain,
% 77.71/50.00 (((~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3390,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))))),
% 77.71/50.00 inference(monotonicity,[status(thm)],[3389])).
% 77.71/50.00 tff(3391,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 77.71/50.00 inference(transitivity,[status(thm)],[3390, 3388])).
% 77.71/50.00 tff(3392,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3393,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 77.71/50.00 tff(3394,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3393, 1082, 3385, 3387, 3386])).
% 77.71/50.00 tff(3395,plain,((~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3396,plain,
% 77.71/50.00 (~node12(c_e_h_3, c_b, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3395, 3386, 3385])).
% 77.71/50.00 tff(3397,assumption,(node13(c_e_h_3, c_b, s5, s6)), introduced(assumption)).
% 77.71/50.00 tff(3398,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~node13(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~node13(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3399,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~node13(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3400,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~node13(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 77.71/50.00 tff(3401,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3400, 1004, 3397, 3279, 3386])).
% 77.71/50.00 tff(3402,plain,((~node13(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3403,plain,
% 77.71/50.00 (~node13(c_e_h_3, c_b, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3402, 3386, 3279])).
% 77.71/50.00 tff(3404,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_3, c_b, s5, s6) | node13(c_e_h_3, c_b, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_3, c_b, s5, s6) | node13(c_e_h_3, c_b, s5, s6))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3405,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_3, c_b, s5, s6) | node13(c_e_h_3, c_b, s5, s6))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3406,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_3, c_b, s5, s6) | node13(c_e_h_3, c_b, s5, s6)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 77.71/50.00 tff(3407,plain,
% 77.71/50.00 (node12(c_e_h_3, c_b, s5, s6) | node13(c_e_h_3, c_b, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3406, 1020, 1343])).
% 77.71/50.00 tff(3408,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3407, 3403, 3396])).
% 77.71/50.00 tff(3409,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3410,plain,
% 77.71/50.00 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3409, 3384, 3277])).
% 77.71/50.00 tff(3411,plain,
% 77.71/50.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3412,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3413,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 77.71/50.00 tff(3414,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3413, 966, 3410, 3341])).
% 77.71/50.00 tff(3415,plain,(m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | node20(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3416,plain,
% 77.71/50.00 (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3415, 3232, 3152, 3064, 2964])).
% 77.71/50.00 tff(3417,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s7)), introduced(assumption)).
% 77.71/50.00 tff(3418,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s7)), introduced(assumption)).
% 77.71/50.00 tff(3419,plain,
% 77.71/50.00 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3420,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3421,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3420, 3419])).
% 77.71/50.00 tff(3422,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3421, 1126, 3418, 3417])).
% 77.71/50.00 tff(3423,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3424,plain,
% 77.71/50.00 (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3423, 3416])).
% 77.71/50.00 tff(3425,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.00 tff(3426,plain,
% 77.71/50.00 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3427,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3428,plain,
% 77.71/50.00 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 77.71/50.00 tff(3429,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3428, 1126, 3425, 3234])).
% 77.71/50.00 tff(3430,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3431,plain,
% 77.71/50.00 (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3430, 3232])).
% 77.71/50.00 tff(3432,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.00 tff(3433,assumption,(node18(c_e_h_3, c_f, s5, s6)), introduced(assumption)).
% 77.71/50.00 tff(3434,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.00 tff(3435,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3436,plain,
% 77.71/50.00 (((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~node18(c_e_h_3, c_f, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3437,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~node18(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6))))),
% 77.71/50.00 inference(monotonicity,[status(thm)],[3436])).
% 77.71/50.00 tff(3438,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~node18(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(transitivity,[status(thm)],[3437, 3435])).
% 77.71/50.00 tff(3439,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~node18(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3440,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s5, s6))),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 77.71/50.00 tff(3441,plain,
% 77.71/50.00 ($false),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3440, 481, 3434, 3432, 3433])).
% 77.71/50.00 tff(3442,plain,((~node18(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.00 tff(3443,plain,
% 77.71/50.00 ((~node18(c_e_h_3, c_f, s5, s6)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3442, 2343])).
% 77.71/50.00 tff(3444,plain,
% 77.71/50.00 (~node18(c_e_h_3, c_f, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3443, 3432])).
% 77.71/50.00 tff(3445,plain,
% 77.71/50.00 (~node18(c_e_h_3, c_f, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3442, 3434, 3432])).
% 77.71/50.00 tff(3446,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_3, c_f, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_3, c_f, s5, s6))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3447,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_3, c_f, s5, s6))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3448,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_3, c_f, s5, s6)),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 77.71/50.00 tff(3449,plain,
% 77.71/50.00 (node19(c_e_h_3, c_f, s5, s6)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3448, 494, 1343])).
% 77.71/50.00 tff(3450,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3451,plain,
% 77.71/50.00 ((node17(c_e_h_3, c_f, s5) | node18(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6))) <=> (node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3452,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s5) | node18(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6))))),
% 77.71/50.00 inference(monotonicity,[status(thm)],[3451])).
% 77.71/50.00 tff(3453,plain,
% 77.71/50.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s5) | node18(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(transitivity,[status(thm)],[3452, 3450])).
% 77.71/50.00 tff(3454,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s5) | node18(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.00 inference(quant_inst,[status(thm)],[])).
% 77.71/50.00 tff(3455,plain,
% 77.71/50.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5) | (~node19(c_e_h_3, c_f, s5, s6))),
% 77.71/50.00 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 77.71/50.00 tff(3456,plain,
% 77.71/50.00 (node18(c_e_h_3, c_f, s5, s6) | node17(c_e_h_3, c_f, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3455, 508, 3449])).
% 77.71/50.00 tff(3457,plain,
% 77.71/50.00 (node17(c_e_h_3, c_f, s5)),
% 77.71/50.00 inference(unit_resolution,[status(thm)],[3456, 3445])).
% 77.71/50.00 tff(3458,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.00 tff(3459,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3460,plain,
% 77.71/50.00 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~node17(c_e_h_3, c_f, s5))) <=> (m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.00 inference(rewrite,[status(thm)],[])).
% 77.71/50.00 tff(3461,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~node17(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))))),
% 77.71/50.00 inference(monotonicity,[status(thm)],[3460])).
% 77.71/50.00 tff(3462,plain,
% 77.71/50.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~node17(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(transitivity,[status(thm)],[3461, 3459])).
% 77.71/50.01 tff(3463,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3464,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 77.71/50.01 tff(3465,plain,
% 77.71/50.01 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3464, 541, 3458])).
% 77.71/50.01 tff(3466,plain,
% 77.71/50.01 (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3465, 3457])).
% 77.71/50.01 tff(3467,assumption,(node15(c_e_h_3, c_f, s5, s6)), introduced(assumption)).
% 77.71/50.01 tff(3468,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3469,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3470,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 77.71/50.01 tff(3471,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3470, 612, 3434, 3432, 3467])).
% 77.71/50.01 tff(3472,plain,((~node15(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3473,plain,
% 77.71/50.01 (~node15(c_e_h_3, c_f, s5, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3472, 3434, 3432])).
% 77.71/50.01 tff(3474,assumption,(node17(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.01 tff(3475,assumption,(node16(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.01 tff(3476,plain,
% 77.71/50.01 (m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3464, 541, 3474])).
% 77.71/50.01 tff(3477,plain,
% 77.71/50.01 (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3476, 3458])).
% 77.71/50.01 tff(3478,plain,
% 77.71/50.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3479,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3480,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s5)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 77.71/50.01 tff(3481,plain,
% 77.71/50.01 (m_c_h_element_v_in1(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3480, 559, 3475])).
% 77.71/50.01 tff(3482,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3481, 3477, 3458])).
% 77.71/50.01 tff(3483,plain,(m_c_h_element_v_in2(c_e_h_3, c_f, s5) | (~node16(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3484,plain,
% 77.71/50.01 (m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3483, 3475, 3474])).
% 77.71/50.01 tff(3485,plain,
% 77.71/50.01 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3486,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3487,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 77.71/50.01 tff(3488,plain,
% 77.71/50.01 (m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3487, 1172, 3474])).
% 77.71/50.01 tff(3489,plain,
% 77.71/50.01 (m_c_h_element_v_in1(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3488, 3484])).
% 77.71/50.01 tff(3490,plain,
% 77.71/50.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3491,plain,
% 77.71/50.01 (((~node16(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3492,plain,
% 77.71/50.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5))))),
% 77.71/50.01 inference(monotonicity,[status(thm)],[3491])).
% 77.71/50.01 tff(3493,plain,
% 77.71/50.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(transitivity,[status(thm)],[3492, 3490])).
% 77.71/50.01 tff(3494,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3495,plain,
% 77.71/50.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)) | (~node16(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 77.71/50.01 tff(3496,plain,
% 77.71/50.01 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3495, 1192, 3475])).
% 77.71/50.01 tff(3497,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3496, 3489, 3484])).
% 77.71/50.01 tff(3498,plain,((~node16(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3499,plain,
% 77.71/50.01 (~node16(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3498, 3457])).
% 77.71/50.01 tff(3500,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3501,plain,
% 77.71/50.01 ((node16(c_e_h_3, c_f, s5) | node14(c_e_h_3, c_f, s5, s6) | node15(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6))) <=> (node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3502,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s5) | node14(c_e_h_3, c_f, s5, s6) | node15(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6))))),
% 77.71/50.01 inference(monotonicity,[status(thm)],[3501])).
% 77.71/50.01 tff(3503,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s5) | node14(c_e_h_3, c_f, s5, s6) | node15(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(transitivity,[status(thm)],[3502, 3500])).
% 77.71/50.01 tff(3504,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s5) | node14(c_e_h_3, c_f, s5, s6) | node15(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3505,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6) | (~node19(c_e_h_3, c_f, s5, s6))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 77.71/50.01 tff(3506,plain,
% 77.71/50.01 (node16(c_e_h_3, c_f, s5) | node15(c_e_h_3, c_f, s5, s6) | node14(c_e_h_3, c_f, s5, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3505, 594, 3449])).
% 77.71/50.01 tff(3507,plain,
% 77.71/50.01 (node14(c_e_h_3, c_f, s5, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3506, 3499, 3473])).
% 77.71/50.01 tff(3508,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s5)), introduced(assumption)).
% 77.71/50.01 tff(3509,assumption,(node14(c_e_h_3, c_f, s5, s6)), introduced(assumption)).
% 77.71/50.01 tff(3510,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3511,plain,
% 77.71/50.01 (((~node14(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3512,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6))))),
% 77.71/50.01 inference(monotonicity,[status(thm)],[3511])).
% 77.71/50.01 tff(3513,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6)))),
% 77.71/50.01 inference(transitivity,[status(thm)],[3512, 3510])).
% 77.71/50.01 tff(3514,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3515,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5) | (~node14(c_e_h_3, c_f, s5, s6))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 77.71/50.01 tff(3516,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3515, 575, 3432, 3509, 3508])).
% 77.71/50.01 tff(3517,plain,((~node14(c_e_h_3, c_f, s5, s6)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3518,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3517, 3507, 3466, 3432])).
% 77.71/50.01 tff(3519,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s5) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3520,plain,
% 77.71/50.01 ((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3519, 2343])).
% 77.71/50.01 tff(3521,plain,
% 77.71/50.01 (m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3520, 3432])).
% 77.71/50.01 tff(3522,plain,
% 77.71/50.01 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | (~node17(c_e_h_3, c_f, s5))),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3487, 1172, 3508])).
% 77.71/50.01 tff(3523,plain,
% 77.71/50.01 (~node17(c_e_h_3, c_f, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3522, 3521])).
% 77.71/50.01 tff(3524,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3456, 3523, 3444])).
% 77.71/50.01 tff(3525,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s5)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3526,plain,
% 77.71/50.01 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3525, 3431])).
% 77.71/50.01 tff(3527,plain,
% 77.71/50.01 (~m_cell_v_req(c_e_h_1, s4)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3241, 3064])).
% 77.71/50.01 tff(3528,plain,
% 77.71/50.01 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3253, 3527])).
% 77.71/50.01 tff(3529,plain,
% 77.71/50.01 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3276, 3528, 3152])).
% 77.71/50.01 tff(3530,plain,
% 77.71/50.01 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3284, 3529])).
% 77.71/50.01 tff(3531,plain,
% 77.71/50.01 (~node20(c_e_h_3, c_d, s5)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3292, 3530])).
% 77.71/50.01 tff(3532,plain,
% 77.71/50.01 (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3315, 3531, 3232])).
% 77.71/50.01 tff(3533,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.01 tff(3534,plain,
% 77.71/50.01 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3535,plain,
% 77.71/50.01 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3536,plain,
% 77.71/50.01 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 77.71/50.01 tff(3537,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3536, 1126, 3318, 3533])).
% 77.71/50.01 tff(3538,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3539,plain,
% 77.71/50.01 (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3538, 3532])).
% 77.71/50.01 tff(3540,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.01 tff(3541,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s7)), introduced(assumption)).
% 77.71/50.01 tff(3542,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.01 tff(3543,assumption,(node18(c_e_h_3, c_f, s6, s7)), introduced(assumption)).
% 77.71/50.01 tff(3544,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3545,plain,
% 77.71/50.01 (((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~node18(c_e_h_3, c_f, s6, s7))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3546,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~node18(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7))))),
% 77.71/50.01 inference(monotonicity,[status(thm)],[3545])).
% 77.71/50.01 tff(3547,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~node18(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.01 inference(transitivity,[status(thm)],[3546, 3544])).
% 77.71/50.01 tff(3548,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3549,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s6, s7))),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3548, 3547])).
% 77.71/50.01 tff(3550,plain,
% 77.71/50.01 ($false),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3549, 481, 3541, 3542, 3543])).
% 77.71/50.01 tff(3551,plain,((~node18(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.01 tff(3552,plain,
% 77.71/50.01 (~node18(c_e_h_3, c_f, s6, s7)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3551, 3542, 3541])).
% 77.71/50.01 tff(3553,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_3, c_f, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_3, c_f, s6, s7))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3554,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_3, c_f, s6, s7))),
% 77.71/50.01 inference(quant_inst,[status(thm)],[])).
% 77.71/50.01 tff(3555,plain,
% 77.71/50.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_3, c_f, s6, s7)),
% 77.71/50.01 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 77.71/50.01 tff(3556,plain,
% 77.71/50.01 (node19(c_e_h_3, c_f, s6, s7)),
% 77.71/50.01 inference(unit_resolution,[status(thm)],[3555, 494, 1685])).
% 77.71/50.01 tff(3557,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3558,plain,
% 77.71/50.01 ((node17(c_e_h_3, c_f, s6) | node18(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7))) <=> (node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7))),
% 77.71/50.01 inference(rewrite,[status(thm)],[])).
% 77.71/50.01 tff(3559,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s6) | node18(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.01 inference(monotonicity,[status(thm)],[3558])).
% 77.71/50.01 tff(3560,plain,
% 77.71/50.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s6) | node18(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3559, 3557])).
% 77.71/50.02 tff(3561,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s6) | node18(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3562,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s6) | (~node19(c_e_h_3, c_f, s6, s7)) | node18(c_e_h_3, c_f, s6, s7)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 77.71/50.02 tff(3563,plain,
% 77.71/50.02 (node17(c_e_h_3, c_f, s6) | node18(c_e_h_3, c_f, s6, s7)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3562, 508, 3556])).
% 77.71/50.02 tff(3564,plain,
% 77.71/50.02 (node17(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3563, 3552])).
% 77.71/50.02 tff(3565,assumption,(~node14(c_e_h_3, c_f, s6, s7)), introduced(assumption)).
% 77.71/50.02 tff(3566,assumption,(node15(c_e_h_3, c_f, s6, s7)), introduced(assumption)).
% 77.71/50.02 tff(3567,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3568,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3569,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3568, 3567])).
% 77.71/50.02 tff(3570,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3569, 612, 3541, 3542, 3566])).
% 77.71/50.02 tff(3571,plain,((~node15(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3572,plain,
% 77.71/50.02 (~node15(c_e_h_3, c_f, s6, s7)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3571, 3542, 3541])).
% 77.71/50.02 tff(3573,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3574,plain,
% 77.71/50.02 ((node16(c_e_h_3, c_f, s6) | node14(c_e_h_3, c_f, s6, s7) | node15(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7))) <=> ((~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3575,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s6) | node14(c_e_h_3, c_f, s6, s7) | node15(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(monotonicity,[status(thm)],[3574])).
% 77.71/50.02 tff(3576,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s6) | node14(c_e_h_3, c_f, s6, s7) | node15(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3575, 3573])).
% 77.71/50.02 tff(3577,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s6) | node14(c_e_h_3, c_f, s6, s7) | node15(c_e_h_3, c_f, s6, s7) | (~node19(c_e_h_3, c_f, s6, s7)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3578,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s6, s7)) | node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 77.71/50.02 tff(3579,plain,
% 77.71/50.02 (node15(c_e_h_3, c_f, s6, s7) | node14(c_e_h_3, c_f, s6, s7) | node16(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3578, 594, 3556])).
% 77.71/50.02 tff(3580,plain,
% 77.71/50.02 (node16(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3579, 3572, 3565])).
% 77.71/50.02 tff(3581,assumption,(node17(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.02 tff(3582,assumption,(node16(c_e_h_3, c_f, s6)), introduced(assumption)).
% 77.71/50.02 tff(3583,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3584,plain,
% 77.71/50.02 ((m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6))) <=> ((~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3585,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(monotonicity,[status(thm)],[3584])).
% 77.71/50.02 tff(3586,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3585, 3583])).
% 77.71/50.02 tff(3587,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3588,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 77.71/50.02 tff(3589,plain,
% 77.71/50.02 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3588, 1172, 3581])).
% 77.71/50.02 tff(3590,plain,
% 77.71/50.02 (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3589, 3540])).
% 77.71/50.02 tff(3591,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3592,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3593,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3592, 3591])).
% 77.71/50.02 tff(3594,plain,
% 77.71/50.02 (m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3593, 559, 3582])).
% 77.71/50.02 tff(3595,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3594, 3590, 3540])).
% 77.71/50.02 tff(3596,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~node16(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3597,plain,
% 77.71/50.02 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3596, 3582, 3581])).
% 77.71/50.02 tff(3598,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3599,plain,
% 77.71/50.02 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~node17(c_e_h_3, c_f, s6))) <=> ((~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3600,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~node17(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))))),
% 77.71/50.02 inference(monotonicity,[status(thm)],[3599])).
% 77.71/50.02 tff(3601,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~node17(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3600, 3598])).
% 77.71/50.02 tff(3602,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~node17(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3603,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 77.71/50.02 tff(3604,plain,
% 77.71/50.02 (m_c_h_element_v_in2(c_e_h_3, c_f, s6) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3603, 541, 3581])).
% 77.71/50.02 tff(3605,plain,
% 77.71/50.02 (m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3604, 3597])).
% 77.71/50.02 tff(3606,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3607,plain,
% 77.71/50.02 (((~node16(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3608,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6))))),
% 77.71/50.02 inference(monotonicity,[status(thm)],[3607])).
% 77.71/50.02 tff(3609,plain,
% 77.71/50.02 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3608, 3606])).
% 77.71/50.02 tff(3610,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3611,plain,
% 77.71/50.02 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | (~node16(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 77.71/50.02 tff(3612,plain,
% 77.71/50.02 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3611, 1192, 3582])).
% 77.71/50.02 tff(3613,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3612, 3605, 3597])).
% 77.71/50.02 tff(3614,plain,((~node16(c_e_h_3, c_f, s6)) | (~node17(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3615,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3614, 3580, 3564])).
% 77.71/50.02 tff(3616,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s6) | node14(c_e_h_3, c_f, s6, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3617,plain,
% 77.71/50.02 (node14(c_e_h_3, c_f, s6, s7)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3616, 3541, 3542])).
% 77.71/50.02 tff(3618,assumption,(node14(c_e_h_3, c_f, s6, s7)), introduced(assumption)).
% 77.71/50.02 tff(3619,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3620,plain,
% 77.71/50.02 (((~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3621,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 77.71/50.02 inference(monotonicity,[status(thm)],[3620])).
% 77.71/50.02 tff(3622,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 77.71/50.02 inference(transitivity,[status(thm)],[3621, 3619])).
% 77.71/50.02 tff(3623,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3624,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3623, 3622])).
% 77.71/50.02 tff(3625,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3624, 575, 3541, 3618, 3540])).
% 77.71/50.02 tff(3626,plain,((~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3627,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3626, 3617, 3541, 3540])).
% 77.71/50.02 tff(3628,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3629,plain,
% 77.71/50.02 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3628, 3539, 3526])).
% 77.71/50.02 tff(3630,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s8)), introduced(assumption)).
% 77.71/50.02 tff(3631,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s7)), introduced(assumption)).
% 77.71/50.02 tff(3632,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s7)), introduced(assumption)).
% 77.71/50.02 tff(3633,assumption,(node15(c_e_h_3, c_f, s7, s8)), introduced(assumption)).
% 77.71/50.02 tff(3634,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | (~node15(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | (~node15(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3635,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | (~node15(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3636,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | (~node15(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 77.71/50.02 tff(3637,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3636, 612, 3630, 3632, 3633])).
% 77.71/50.02 tff(3638,plain,((~node15(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3639,plain,
% 77.71/50.02 (~node15(c_e_h_3, c_f, s7, s8)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3638, 3632, 3630])).
% 77.71/50.02 tff(3640,assumption,(node18(c_e_h_3, c_f, s7, s8)), introduced(assumption)).
% 77.71/50.02 tff(3641,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node18(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node18(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3642,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node18(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3643,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node18(c_e_h_3, c_f, s7, s8))),
% 77.71/50.02 inference(modus_ponens,[status(thm)],[3642, 3641])).
% 77.71/50.02 tff(3644,plain,
% 77.71/50.02 ($false),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3643, 481, 3630, 3632, 3640])).
% 77.71/50.02 tff(3645,plain,((~node18(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.02 tff(3646,plain,
% 77.71/50.02 (~node18(c_e_h_3, c_f, s7, s8)),
% 77.71/50.02 inference(unit_resolution,[status(thm)],[3645, 3632, 3630])).
% 77.71/50.02 tff(3647,plain,
% 77.71/50.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_3, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_3, c_f, s7, s8))),
% 77.71/50.02 inference(rewrite,[status(thm)],[])).
% 77.71/50.02 tff(3648,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_3, c_f, s7, s8))),
% 77.71/50.02 inference(quant_inst,[status(thm)],[])).
% 77.71/50.02 tff(3649,plain,
% 77.71/50.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_3, c_f, s7, s8)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 77.71/50.03 tff(3650,plain,
% 77.71/50.03 (node19(c_e_h_3, c_f, s7, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3649, 494, 2456])).
% 77.71/50.03 tff(3651,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3652,plain,
% 77.71/50.03 ((node17(c_e_h_3, c_f, s7) | node18(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8))) <=> (node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3653,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s7) | node18(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8))))),
% 77.71/50.03 inference(monotonicity,[status(thm)],[3652])).
% 77.71/50.03 tff(3654,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s7) | node18(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(transitivity,[status(thm)],[3653, 3651])).
% 77.71/50.03 tff(3655,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s7) | node18(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3656,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7) | (~node19(c_e_h_3, c_f, s7, s8))),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 77.71/50.03 tff(3657,plain,
% 77.71/50.03 (node18(c_e_h_3, c_f, s7, s8) | node17(c_e_h_3, c_f, s7)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3656, 508, 3650])).
% 77.71/50.03 tff(3658,plain,
% 77.71/50.03 (node17(c_e_h_3, c_f, s7)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3657, 3646])).
% 77.71/50.03 tff(3659,assumption,(~node15(c_e_h_3, c_f, s7, s8)), introduced(assumption)).
% 77.71/50.03 tff(3660,assumption,(node17(c_e_h_3, c_f, s7)), introduced(assumption)).
% 77.71/50.03 tff(3661,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3662,plain,
% 77.71/50.03 ((m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node17(c_e_h_3, c_f, s7))) <=> ((~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3663,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node17(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7))))),
% 77.71/50.03 inference(monotonicity,[status(thm)],[3662])).
% 77.71/50.03 tff(3664,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node17(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))),
% 77.71/50.03 inference(transitivity,[status(thm)],[3663, 3661])).
% 77.71/50.03 tff(3665,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node17(c_e_h_3, c_f, s7)))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3666,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 77.71/50.03 tff(3667,plain,
% 77.71/50.03 (m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3666, 1172, 3660])).
% 77.71/50.03 tff(3668,plain,
% 77.71/50.03 (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3667, 3631])).
% 77.71/50.03 tff(3669,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3670,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3671,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 77.71/50.03 tff(3672,plain,
% 77.71/50.03 (~node16(c_e_h_3, c_f, s7)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3671, 559, 3631, 3668])).
% 77.71/50.03 tff(3673,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s7) | node14(c_e_h_3, c_f, s7, s8) | node15(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s7) | node14(c_e_h_3, c_f, s7, s8) | node15(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3674,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s7) | node14(c_e_h_3, c_f, s7, s8) | node15(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3675,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s7) | node14(c_e_h_3, c_f, s7, s8) | node15(c_e_h_3, c_f, s7, s8) | (~node19(c_e_h_3, c_f, s7, s8))),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 77.71/50.03 tff(3676,plain,
% 77.71/50.03 (node16(c_e_h_3, c_f, s7) | node14(c_e_h_3, c_f, s7, s8) | node15(c_e_h_3, c_f, s7, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3675, 594, 3650])).
% 77.71/50.03 tff(3677,plain,
% 77.71/50.03 (node14(c_e_h_3, c_f, s7, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3676, 3672, 3659])).
% 77.71/50.03 tff(3678,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3679,plain,
% 77.71/50.03 (((~node14(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3680,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8))))),
% 77.71/50.03 inference(monotonicity,[status(thm)],[3679])).
% 77.71/50.03 tff(3681,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 77.71/50.03 inference(transitivity,[status(thm)],[3680, 3678])).
% 77.71/50.03 tff(3682,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3683,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s7, s8))),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 77.71/50.03 tff(3684,plain,
% 77.71/50.03 ($false),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3683, 575, 3630, 3677, 3631])).
% 77.71/50.03 tff(3685,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)) | node15(c_e_h_3, c_f, s7, s8) | (~node17(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.03 tff(3686,plain,
% 77.71/50.03 ($false),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3685, 3658, 3639, 3631, 3630])).
% 77.71/50.03 tff(3687,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s7) | m_c_h_element_v_in1(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.03 tff(3688,plain,
% 77.71/50.03 (~m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3687, 3629, 3424])).
% 77.71/50.03 tff(3689,plain,
% 77.71/50.03 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3690,plain,
% 77.71/50.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3691,plain,
% 77.71/50.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 77.71/50.03 tff(3692,plain,
% 77.71/50.03 (~m_and_h_gate_v_in1(c_e_h_3, c_q, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3691, 397, 3688])).
% 77.71/50.03 tff(3693,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s8))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3694,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s8))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3695,plain,
% 77.71/50.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s8)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 77.71/50.03 tff(3696,plain,
% 77.71/50.03 (~node20(c_e_h_3, c_q, s8)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3695, 22, 3692])).
% 77.71/50.03 tff(3697,assumption,(node21(c_e_h_3, c_q, s8, s9)), introduced(assumption)).
% 77.71/50.03 tff(3698,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3699,plain,
% 77.71/50.03 ((node20(c_e_h_3, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node21(c_e_h_3, c_q, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9)))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3700,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node21(c_e_h_3, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9))))),
% 77.71/50.03 inference(monotonicity,[status(thm)],[3699])).
% 77.71/50.03 tff(3701,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node21(c_e_h_3, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9)))),
% 77.71/50.03 inference(transitivity,[status(thm)],[3700, 3698])).
% 77.71/50.03 tff(3702,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node21(c_e_h_3, c_q, s8, s9)))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3703,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | node20(c_e_h_3, c_q, s8) | (~node21(c_e_h_3, c_q, s8, s9))),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 77.71/50.03 tff(3704,plain,
% 77.71/50.03 ($false),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3703, 348, 3697, 2470, 3696])).
% 77.71/50.03 tff(3705,plain,((~node21(c_e_h_3, c_q, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.03 tff(3706,plain,
% 77.71/50.03 (~node21(c_e_h_3, c_q, s8, s9)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3705, 2470])).
% 77.71/50.03 tff(3707,plain,
% 77.71/50.03 (succ(s8, s9) <=> succ(s8, s9)),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3708,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 77.71/50.03 tff(3709,plain,
% 77.71/50.03 (succ(s8, s9)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 77.71/50.03 tff(3710,plain,
% 77.71/50.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3711,plain,
% 77.71/50.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3712,plain,
% 77.71/50.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 77.71/50.03 tff(3713,plain,
% 77.71/50.03 (trans(s8, s9)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3712, 3709, 176])).
% 77.71/50.03 tff(3714,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_3, c_q, s8, s9) | node22(c_e_h_3, c_q, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_3, c_q, s8, s9) | node22(c_e_h_3, c_q, s8, s9))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3715,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_3, c_q, s8, s9) | node22(c_e_h_3, c_q, s8, s9))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3716,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_3, c_q, s8, s9) | node22(c_e_h_3, c_q, s8, s9)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3715, 3714])).
% 77.71/50.03 tff(3717,plain,
% 77.71/50.03 (node21(c_e_h_3, c_q, s8, s9) | node22(c_e_h_3, c_q, s8, s9)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3716, 383, 3713])).
% 77.71/50.03 tff(3718,plain,
% 77.71/50.03 (node22(c_e_h_3, c_q, s8, s9)),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3717, 3706])).
% 77.71/50.03 tff(3719,plain,
% 77.71/50.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node22(c_e_h_3, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node22(c_e_h_3, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))),
% 77.71/50.03 inference(rewrite,[status(thm)],[])).
% 77.71/50.03 tff(3720,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node22(c_e_h_3, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))),
% 77.71/50.03 inference(quant_inst,[status(thm)],[])).
% 77.71/50.03 tff(3721,plain,
% 77.71/50.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node22(c_e_h_3, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8)),
% 77.71/50.03 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 77.71/50.03 tff(3722,plain,
% 77.71/50.03 ($false),
% 77.71/50.03 inference(unit_resolution,[status(thm)],[3721, 437, 3718, 2470, 2469])).
% 77.71/50.03 tff(3723,plain,(~m_and_h_gate_v_out(c_e_h_3, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.03 tff(3724,plain,
% 77.71/50.03 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s9))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3725,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s9))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3726,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s9)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 77.71/50.04 tff(3727,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s9)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3726, 1050, 1791])).
% 77.71/50.04 tff(3728,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3729,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3730,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 77.71/50.04 tff(3731,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3730, 1808, 3727])).
% 77.71/50.04 tff(3732,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s9)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3731, 3723])).
% 77.71/50.04 tff(3733,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | m_cell_v_ack(c_e_h_1, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | m_cell_v_ack(c_e_h_1, s9))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3734,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | m_cell_v_ack(c_e_h_1, s9))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3735,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | m_cell_v_ack(c_e_h_1, s9)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 77.71/50.04 tff(3736,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3735, 1820, 3732])).
% 77.71/50.04 tff(3737,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s8))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3738,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s8))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3739,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s8)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 77.71/50.04 tff(3740,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s8)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3739, 1050, 1791])).
% 77.71/50.04 tff(3741,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s8)) | (~node3(c_e_h_3, c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s8)) | (~node3(c_e_h_3, c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3742,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s8)) | (~node3(c_e_h_3, c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3743,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s8)) | (~node3(c_e_h_3, c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 77.71/50.04 tff(3744,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_3, c_q, s8)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3743, 1808, 3740])).
% 77.71/50.04 tff(3745,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s8)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3744, 2469])).
% 77.71/50.04 tff(3746,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)) | m_cell_v_ack(c_e_h_1, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)) | m_cell_v_ack(c_e_h_1, s8))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3747,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)) | m_cell_v_ack(c_e_h_1, s8))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3748,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)) | m_cell_v_ack(c_e_h_1, s8)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 77.71/50.04 tff(3749,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3748, 1820, 3745])).
% 77.71/50.04 tff(3750,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s7))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3751,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s7))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3752,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s7)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3751, 3750])).
% 77.71/50.04 tff(3753,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s7)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3752, 1050, 1791])).
% 77.71/50.04 tff(3754,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s7)) | (~node3(c_e_h_3, c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s7)) | (~node3(c_e_h_3, c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3755,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s7)) | (~node3(c_e_h_3, c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3756,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s7)) | (~node3(c_e_h_3, c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3755, 3754])).
% 77.71/50.04 tff(3757,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_3, c_q, s7)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3756, 1808, 3753])).
% 77.71/50.04 tff(3758,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s7)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3757, 1697])).
% 77.71/50.04 tff(3759,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)) | m_cell_v_ack(c_e_h_1, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)) | m_cell_v_ack(c_e_h_1, s7))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3760,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)) | m_cell_v_ack(c_e_h_1, s7))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3761,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)) | m_cell_v_ack(c_e_h_1, s7)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 77.71/50.04 tff(3762,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3761, 1820, 3758])).
% 77.71/50.04 tff(3763,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s6))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3764,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s6))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3765,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s6)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3764, 3763])).
% 77.71/50.04 tff(3766,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s6)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3765, 1050, 1791])).
% 77.71/50.04 tff(3767,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s6)) | (~node3(c_e_h_3, c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s6)) | (~node3(c_e_h_3, c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3768,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s6)) | (~node3(c_e_h_3, c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3769,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s6)) | (~node3(c_e_h_3, c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 77.71/50.04 tff(3770,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_3, c_q, s6)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3769, 1808, 3766])).
% 77.71/50.04 tff(3771,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s6)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3770, 1358])).
% 77.71/50.04 tff(3772,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)) | m_cell_v_ack(c_e_h_1, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)) | m_cell_v_ack(c_e_h_1, s6))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3773,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)) | m_cell_v_ack(c_e_h_1, s6))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3774,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)) | m_cell_v_ack(c_e_h_1, s6)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 77.71/50.04 tff(3775,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3774, 1820, 3771])).
% 77.71/50.04 tff(3776,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s5))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3777,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s5))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3778,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s5)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 77.71/50.04 tff(3779,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s5)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3778, 1050, 1791])).
% 77.71/50.04 tff(3780,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s5)) | (~node3(c_e_h_3, c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s5)) | (~node3(c_e_h_3, c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3781,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s5)) | (~node3(c_e_h_3, c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3782,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s5)) | (~node3(c_e_h_3, c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 77.71/50.04 tff(3783,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s5)) | m_and_h_gate_v_out(c_e_h_3, c_q, s5)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3782, 1808, 3779])).
% 77.71/50.04 tff(3784,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s5)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3783, 943])).
% 77.71/50.04 tff(3785,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)) | m_cell_v_ack(c_e_h_1, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)) | m_cell_v_ack(c_e_h_1, s5))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3786,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)) | m_cell_v_ack(c_e_h_1, s5))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3787,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)) | m_cell_v_ack(c_e_h_1, s5)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 77.71/50.04 tff(3788,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3787, 1820, 3784])).
% 77.71/50.04 tff(3789,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s3))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3790,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s3))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3791,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s3)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3790, 3789])).
% 77.71/50.04 tff(3792,plain,
% 77.71/50.04 (node3(c_e_h_3, c_e_h_1, s3)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3791, 1050, 1791])).
% 77.71/50.04 tff(3793,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s3)) | (~node3(c_e_h_3, c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s3)) | (~node3(c_e_h_3, c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3794,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s3)) | (~node3(c_e_h_3, c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3795,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s3)) | (~node3(c_e_h_3, c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 77.71/50.04 tff(3796,plain,
% 77.71/50.04 ((~m_cell_v_ack(c_e_h_1, s3)) | m_and_h_gate_v_out(c_e_h_3, c_q, s3)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3795, 1808, 3792])).
% 77.71/50.04 tff(3797,plain,
% 77.71/50.04 (~m_cell_v_ack(c_e_h_1, s3)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3796, 469])).
% 77.71/50.04 tff(3798,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)) | m_cell_v_ack(c_e_h_1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)) | m_cell_v_ack(c_e_h_1, s3))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3799,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)) | m_cell_v_ack(c_e_h_1, s3))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3800,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)) | m_cell_v_ack(c_e_h_1, s3)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 77.71/50.04 tff(3801,plain,
% 77.71/50.04 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3800, 1820, 3797])).
% 77.71/50.04 tff(3802,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s3)), introduced(assumption)).
% 77.71/50.04 tff(3803,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s4)), introduced(assumption)).
% 77.71/50.04 tff(3804,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s1)), introduced(assumption)).
% 77.71/50.04 tff(3805,assumption,(node21(c_e_h_1, c_l, s0, s1)), introduced(assumption)).
% 77.71/50.04 tff(3806,assumption,(m_cell_v_token(c_e_h_1, s0)), introduced(assumption)).
% 77.71/50.04 tff(3807,plain,
% 77.71/50.04 (^[X: $i] : refl((~m_cell_v_token(c_e_h_1, X)) <=> (~m_cell_v_token(c_e_h_1, X)))),
% 77.71/50.04 inference(bind,[status(th)],[])).
% 77.71/50.04 tff(3808,plain,
% 77.71/50.04 (![X: $i] : (~m_cell_v_token(c_e_h_1, X)) <=> ![X: $i] : (~m_cell_v_token(c_e_h_1, X))),
% 77.71/50.04 inference(quant_intro,[status(thm)],[3807])).
% 77.71/50.04 tff(3809,plain,
% 77.71/50.04 (![X: $i] : (~m_cell_v_token(c_e_h_1, X)) <=> ![X: $i] : (~m_cell_v_token(c_e_h_1, X))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3810,axiom,(![X: $i] : (~m_cell_v_token(c_e_h_1, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 77.71/50.04 tff(3811,plain,
% 77.71/50.04 (![X: $i] : (~m_cell_v_token(c_e_h_1, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 77.71/50.04 tff(3812,plain,(
% 77.71/50.04 ![X: $i] : (~m_cell_v_token(c_e_h_1, X))),
% 77.71/50.04 inference(skolemize,[status(sab)],[3811])).
% 77.71/50.04 tff(3813,plain,
% 77.71/50.04 (![X: $i] : (~m_cell_v_token(c_e_h_1, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3812, 3808])).
% 77.71/50.04 tff(3814,plain,
% 77.71/50.04 ((~![X: $i] : (~m_cell_v_token(c_e_h_1, X))) | (~m_cell_v_token(c_e_h_1, s0))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3815,plain,
% 77.71/50.04 ($false),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3814, 3813, 3806])).
% 77.71/50.04 tff(3816,plain,(~m_cell_v_token(c_e_h_1, s0)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.04 tff(3817,plain,
% 77.71/50.04 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X)) <=> ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X)))),
% 77.71/50.04 inference(bind,[status(th)],[])).
% 77.71/50.04 tff(3818,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))),
% 77.71/50.04 inference(quant_intro,[status(thm)],[3817])).
% 77.71/50.04 tff(3819,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3820,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_56')).
% 77.71/50.04 tff(3821,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 77.71/50.04 tff(3822,plain,(
% 77.71/50.04 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))),
% 77.71/50.04 inference(skolemize,[status(sab)],[3821])).
% 77.71/50.04 tff(3823,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3822, 3818])).
% 77.71/50.04 tff(3824,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)) | m_cell_v_token(c_e_h_1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)) | m_cell_v_token(c_e_h_1, s0))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3825,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)) | m_cell_v_token(c_e_h_1, s0))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3826,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)) | m_cell_v_token(c_e_h_1, s0)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 77.71/50.04 tff(3827,plain,
% 77.71/50.04 (~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3826, 3823, 3816])).
% 77.71/50.04 tff(3828,plain,
% 77.71/50.04 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3829,plain,
% 77.71/50.04 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3830,plain,
% 77.71/50.04 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_m, s0)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 77.71/50.04 tff(3831,plain,
% 77.71/50.04 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3830, 62, 3827])).
% 77.71/50.04 tff(3832,plain,
% 77.71/50.04 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.71/50.04 inference(bind,[status(th)],[])).
% 77.71/50.04 tff(3833,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.04 inference(quant_intro,[status(thm)],[3832])).
% 77.71/50.04 tff(3834,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3835,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_50')).
% 77.71/50.04 tff(3836,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 77.71/50.04 tff(3837,plain,(
% 77.71/50.04 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.04 inference(skolemize,[status(sab)],[3836])).
% 77.71/50.04 tff(3838,plain,
% 77.71/50.04 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3837, 3833])).
% 77.71/50.04 tff(3839,plain,
% 77.71/50.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3840,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3841,plain,
% 77.71/50.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 77.71/50.04 tff(3842,plain,
% 77.71/50.04 ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3841, 3838])).
% 77.71/50.04 tff(3843,plain,
% 77.71/50.04 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s0)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3842, 3831])).
% 77.71/50.04 tff(3844,plain,
% 77.71/50.04 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s0))),
% 77.71/50.04 inference(rewrite,[status(thm)],[])).
% 77.71/50.04 tff(3845,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s0))),
% 77.71/50.04 inference(quant_inst,[status(thm)],[])).
% 77.71/50.04 tff(3846,plain,
% 77.71/50.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s0)),
% 77.71/50.04 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 77.71/50.04 tff(3847,plain,
% 77.71/50.04 (~node20(c_e_h_1, c_l, s0)),
% 77.71/50.04 inference(unit_resolution,[status(thm)],[3846, 334, 3843])).
% 77.71/50.04 tff(3848,plain,
% 77.71/50.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node21(c_e_h_1, c_l, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node21(c_e_h_1, c_l, s0, s1)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3849,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node21(c_e_h_1, c_l, s0, s1)))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3850,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node21(c_e_h_1, c_l, s0, s1))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 77.71/50.05 tff(3851,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3850, 348, 3847, 3805, 3804])).
% 77.71/50.05 tff(3852,plain,((~node21(c_e_h_1, c_l, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3853,plain,
% 77.71/50.05 (~node21(c_e_h_1, c_l, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3852, 3804])).
% 77.71/50.05 tff(3854,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_l, s0, s1) | node22(c_e_h_1, c_l, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_l, s0, s1) | node22(c_e_h_1, c_l, s0, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3855,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_l, s0, s1) | node22(c_e_h_1, c_l, s0, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3856,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_l, s0, s1) | node22(c_e_h_1, c_l, s0, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 77.71/50.05 tff(3857,plain,
% 77.71/50.05 (node21(c_e_h_1, c_l, s0, s1) | node22(c_e_h_1, c_l, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3856, 383, 183])).
% 77.71/50.05 tff(3858,plain,
% 77.71/50.05 (node22(c_e_h_1, c_l, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3857, 3853])).
% 77.71/50.05 tff(3859,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s0)), introduced(assumption)).
% 77.71/50.05 tff(3860,plain,
% 77.71/50.05 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3861,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3860, 424, 3859])).
% 77.71/50.05 tff(3862,plain,(~m_and_h_gate_v_out(c_e_h_1, c_l, s0)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3863,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node22(c_e_h_1, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node22(c_e_h_1, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3864,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node22(c_e_h_1, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3865,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s1)) | (~node22(c_e_h_1, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 77.71/50.05 tff(3866,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3865, 437, 3862, 3858, 3804])).
% 77.71/50.05 tff(3867,plain,(~m_and_h_gate_v_out(c_e_h_1, c_l, s1)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3868,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s2)), introduced(assumption)).
% 77.71/50.05 tff(3869,assumption,(node21(c_e_h_1, c_l, s1, s2)), introduced(assumption)).
% 77.71/50.05 tff(3870,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)), introduced(assumption)).
% 77.71/50.05 tff(3871,assumption,(node10(c_e_h_1, c_m, s0, s1)), introduced(assumption)).
% 77.71/50.05 tff(3872,plain,
% 77.71/50.05 (((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_1, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0))) <=> ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_1, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3873,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_1, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3874,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_1, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 77.71/50.05 tff(3875,plain,
% 77.71/50.05 (m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3874, 91, 3816])).
% 77.71/50.05 tff(3876,plain,
% 77.71/50.05 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3877,plain,
% 77.71/50.05 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3878,plain,
% 77.71/50.05 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3877, 3876])).
% 77.71/50.05 tff(3879,plain,
% 77.71/50.05 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3878, 77, 3875])).
% 77.71/50.05 tff(3880,plain,
% 77.71/50.05 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))))),
% 77.71/50.05 inference(bind,[status(th)],[])).
% 77.71/50.05 tff(3881,plain,
% 77.71/50.05 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.71/50.05 inference(quant_intro,[status(thm)],[3880])).
% 77.71/50.05 tff(3882,plain,
% 77.71/50.05 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3883,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_54')).
% 77.71/50.05 tff(3884,plain,
% 77.71/50.05 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 77.71/50.05 tff(3885,plain,(
% 77.71/50.05 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.71/50.05 inference(skolemize,[status(sab)],[3884])).
% 77.71/50.05 tff(3886,plain,
% 77.71/50.05 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3885, 3881])).
% 77.71/50.05 tff(3887,plain,
% 77.71/50.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3888,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3889,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 77.71/50.05 tff(3890,plain,
% 77.71/50.05 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3889, 3886, 3879])).
% 77.71/50.05 tff(3891,plain,
% 77.71/50.05 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3892,plain,
% 77.71/50.05 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3893,plain,
% 77.71/50.05 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 77.71/50.05 tff(3894,plain,
% 77.71/50.05 (~node9(c_e_h_1, c_m, s0)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3893, 238, 3890])).
% 77.71/50.05 tff(3895,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node10(c_e_h_1, c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node10(c_e_h_1, c_m, s0, s1)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3896,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node10(c_e_h_1, c_m, s0, s1)))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3897,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node10(c_e_h_1, c_m, s0, s1))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 77.71/50.05 tff(3898,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3897, 252, 3894, 3870, 3871])).
% 77.71/50.05 tff(3899,plain,((~node10(c_e_h_1, c_m, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3900,plain,
% 77.71/50.05 (~node10(c_e_h_1, c_m, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3899, 3870])).
% 77.71/50.05 tff(3901,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_1, c_m, s0, s1) | node11(c_e_h_1, c_m, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_1, c_m, s0, s1) | node11(c_e_h_1, c_m, s0, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3902,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_1, c_m, s0, s1) | node11(c_e_h_1, c_m, s0, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3903,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_1, c_m, s0, s1) | node11(c_e_h_1, c_m, s0, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 77.71/50.05 tff(3904,plain,
% 77.71/50.05 (node10(c_e_h_1, c_m, s0, s1) | node11(c_e_h_1, c_m, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3903, 193, 183])).
% 77.71/50.05 tff(3905,plain,
% 77.71/50.05 (node11(c_e_h_1, c_m, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3904, 3900])).
% 77.71/50.05 tff(3906,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node11(c_e_h_1, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node11(c_e_h_1, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3907,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node11(c_e_h_1, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3908,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)) | (~node11(c_e_h_1, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 77.71/50.05 tff(3909,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3908, 282, 3831, 3870, 3905])).
% 77.71/50.05 tff(3910,plain,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3911,plain,
% 77.71/50.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3912,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3913,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3912, 3911])).
% 77.71/50.05 tff(3914,plain,
% 77.71/50.05 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3913, 3838, 3910])).
% 77.71/50.05 tff(3915,plain,
% 77.71/50.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3916,plain,
% 77.71/50.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3917,plain,
% 77.71/50.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 77.71/50.05 tff(3918,plain,
% 77.71/50.05 (~node20(c_e_h_1, c_l, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3917, 334, 3914])).
% 77.71/50.05 tff(3919,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node21(c_e_h_1, c_l, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node21(c_e_h_1, c_l, s1, s2)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3920,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node21(c_e_h_1, c_l, s1, s2)))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3921,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node21(c_e_h_1, c_l, s1, s2))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 77.71/50.05 tff(3922,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3921, 348, 3918, 3869, 3868])).
% 77.71/50.05 tff(3923,plain,((~node21(c_e_h_1, c_l, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3924,plain,
% 77.71/50.05 (~node21(c_e_h_1, c_l, s1, s2)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3923, 3868])).
% 77.71/50.05 tff(3925,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_l, s1, s2) | node22(c_e_h_1, c_l, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_l, s1, s2) | node22(c_e_h_1, c_l, s1, s2))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3926,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_l, s1, s2) | node22(c_e_h_1, c_l, s1, s2))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3927,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_l, s1, s2) | node22(c_e_h_1, c_l, s1, s2)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 77.71/50.05 tff(3928,plain,
% 77.71/50.05 (node21(c_e_h_1, c_l, s1, s2) | node22(c_e_h_1, c_l, s1, s2)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3927, 383, 265])).
% 77.71/50.05 tff(3929,plain,
% 77.71/50.05 (node22(c_e_h_1, c_l, s1, s2)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3928, 3924])).
% 77.71/50.05 tff(3930,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node22(c_e_h_1, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node22(c_e_h_1, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3931,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node22(c_e_h_1, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3932,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s2)) | (~node22(c_e_h_1, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3931, 3930])).
% 77.71/50.05 tff(3933,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3932, 437, 3929, 3868, 3867])).
% 77.71/50.05 tff(3934,plain,(~m_and_h_gate_v_out(c_e_h_1, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3935,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s3)), introduced(assumption)).
% 77.71/50.05 tff(3936,assumption,(node21(c_e_h_1, c_l, s2, s3)), introduced(assumption)).
% 77.71/50.05 tff(3937,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)), introduced(assumption)).
% 77.71/50.05 tff(3938,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)), introduced(assumption)).
% 77.71/50.05 tff(3939,assumption,(node11(c_e_h_1, c_n, s0, s1)), introduced(assumption)).
% 77.71/50.05 tff(3940,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3941,plain,
% 77.71/50.05 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3942,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1))))),
% 77.71/50.05 inference(monotonicity,[status(thm)],[3941])).
% 77.71/50.05 tff(3943,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.05 inference(transitivity,[status(thm)],[3942, 3940])).
% 77.71/50.05 tff(3944,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3945,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~node11(c_e_h_1, c_n, s0, s1))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 77.71/50.05 tff(3946,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3945, 208, 3879, 3938, 3939])).
% 77.71/50.05 tff(3947,plain,((~node11(c_e_h_1, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3948,plain,
% 77.71/50.05 (~node11(c_e_h_1, c_n, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3947, 3938])).
% 77.71/50.05 tff(3949,plain,
% 77.71/50.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_1, c_n, s0, s1) | node11(c_e_h_1, c_n, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_1, c_n, s0, s1) | node11(c_e_h_1, c_n, s0, s1))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3950,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_1, c_n, s0, s1) | node11(c_e_h_1, c_n, s0, s1))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3951,plain,
% 77.71/50.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_1, c_n, s0, s1) | node11(c_e_h_1, c_n, s0, s1)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 77.71/50.05 tff(3952,plain,
% 77.71/50.05 (node10(c_e_h_1, c_n, s0, s1) | node11(c_e_h_1, c_n, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3951, 193, 183])).
% 77.71/50.05 tff(3953,plain,
% 77.71/50.05 (node10(c_e_h_1, c_n, s0, s1)),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3952, 3948])).
% 77.71/50.05 tff(3954,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s0)), introduced(assumption)).
% 77.71/50.05 tff(3955,plain,
% 77.71/50.05 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3956,plain,
% 77.71/50.05 ($false),
% 77.71/50.05 inference(unit_resolution,[status(thm)],[3955, 135, 3954])).
% 77.71/50.05 tff(3957,plain,(~m_c_h_element_v_out(c_e_h_1, c_e, s0)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.05 tff(3958,plain,
% 77.71/50.05 (^[I0: $i, X: $i] : refl((m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X)) <=> (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X)))),
% 77.71/50.05 inference(bind,[status(th)],[])).
% 77.71/50.05 tff(3959,plain,
% 77.71/50.05 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))),
% 77.71/50.05 inference(quant_intro,[status(thm)],[3958])).
% 77.71/50.05 tff(3960,plain,
% 77.71/50.05 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3961,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_57')).
% 77.71/50.05 tff(3962,plain,
% 77.71/50.05 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 77.71/50.05 tff(3963,plain,(
% 77.71/50.05 ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))),
% 77.71/50.05 inference(skolemize,[status(sab)],[3962])).
% 77.71/50.05 tff(3964,plain,
% 77.71/50.05 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3963, 3959])).
% 77.71/50.05 tff(3965,plain,
% 77.71/50.05 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0) | m_c_h_element_v_out(c_e_h_1, c_e, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0) | m_c_h_element_v_out(c_e_h_1, c_e, s0))),
% 77.71/50.05 inference(rewrite,[status(thm)],[])).
% 77.71/50.05 tff(3966,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0) | m_c_h_element_v_out(c_e_h_1, c_e, s0))),
% 77.71/50.05 inference(quant_inst,[status(thm)],[])).
% 77.71/50.05 tff(3967,plain,
% 77.71/50.05 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0) | m_c_h_element_v_out(c_e_h_1, c_e, s0)),
% 77.71/50.05 inference(modus_ponens,[status(thm)],[3966, 3965])).
% 77.71/50.05 tff(3968,plain,
% 77.71/50.05 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0) | m_c_h_element_v_out(c_e_h_1, c_e, s0)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3967, 3964])).
% 77.71/50.06 tff(3969,plain,
% 77.71/50.06 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3968, 3957])).
% 77.71/50.06 tff(3970,plain,
% 77.71/50.06 (^[I0: $i, X: $i] : refl((m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 77.71/50.06 inference(bind,[status(th)],[])).
% 77.71/50.06 tff(3971,plain,
% 77.71/50.06 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.06 inference(quant_intro,[status(thm)],[3970])).
% 77.71/50.06 tff(3972,plain,
% 77.71/50.06 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3973,axiom,(![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_59')).
% 77.71/50.06 tff(3974,plain,
% 77.71/50.06 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3973, 3972])).
% 77.71/50.06 tff(3975,plain,(
% 77.71/50.06 ![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.06 inference(skolemize,[status(sab)],[3974])).
% 77.71/50.06 tff(3976,plain,
% 77.71/50.06 (![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3975, 3971])).
% 77.71/50.06 tff(3977,plain,
% 77.71/50.06 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3978,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(3979,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 77.71/50.06 tff(3980,plain,
% 77.71/50.06 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3979, 3976, 3831])).
% 77.71/50.06 tff(3981,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3982,plain,
% 77.71/50.06 (((~node10(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3983,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1))))),
% 77.71/50.06 inference(monotonicity,[status(thm)],[3982])).
% 77.71/50.06 tff(3984,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1)))),
% 77.71/50.06 inference(transitivity,[status(thm)],[3983, 3981])).
% 77.71/50.06 tff(3985,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(3986,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s0)) | (~node10(c_e_h_1, c_n, s0, s1))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 77.71/50.06 tff(3987,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3986, 160, 3980, 3938, 3969, 3953])).
% 77.71/50.06 tff(3988,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(3989,plain,
% 77.71/50.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3990,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(3991,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 77.71/50.06 tff(3992,plain,
% 77.71/50.06 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3991, 3886, 3988])).
% 77.71/50.06 tff(3993,plain,
% 77.71/50.06 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(3994,plain,
% 77.71/50.06 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(3995,plain,
% 77.71/50.06 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s1)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 77.71/50.06 tff(3996,plain,
% 77.71/50.06 (~node9(c_e_h_1, c_m, s1)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[3995, 238, 3992])).
% 77.71/50.06 tff(3997,assumption,(~node9(c_e_h_1, c_m, s1)), introduced(assumption)).
% 77.71/50.06 tff(3998,assumption,(node10(c_e_h_1, c_m, s1, s2)), introduced(assumption)).
% 77.71/50.06 tff(3999,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node10(c_e_h_1, c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node10(c_e_h_1, c_m, s1, s2)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4000,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node10(c_e_h_1, c_m, s1, s2)))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4001,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node10(c_e_h_1, c_m, s1, s2))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 77.71/50.06 tff(4002,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4001, 252, 3937, 3998, 3997])).
% 77.71/50.06 tff(4003,plain,((~node10(c_e_h_1, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | node9(c_e_h_1, c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(4004,plain,
% 77.71/50.06 ((~node10(c_e_h_1, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4003, 3996])).
% 77.71/50.06 tff(4005,plain,
% 77.71/50.06 (~node10(c_e_h_1, c_m, s1, s2)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4004, 3937])).
% 77.71/50.06 tff(4006,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_1, c_m, s1, s2) | node11(c_e_h_1, c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_1, c_m, s1, s2) | node11(c_e_h_1, c_m, s1, s2))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4007,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_1, c_m, s1, s2) | node11(c_e_h_1, c_m, s1, s2))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4008,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_1, c_m, s1, s2) | node11(c_e_h_1, c_m, s1, s2)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 77.71/50.06 tff(4009,plain,
% 77.71/50.06 (node10(c_e_h_1, c_m, s1, s2) | node11(c_e_h_1, c_m, s1, s2)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4008, 193, 265])).
% 77.71/50.06 tff(4010,plain,
% 77.71/50.06 (node11(c_e_h_1, c_m, s1, s2)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4009, 4005])).
% 77.71/50.06 tff(4011,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node11(c_e_h_1, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node11(c_e_h_1, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4012,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node11(c_e_h_1, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4013,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)) | (~node11(c_e_h_1, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 77.71/50.06 tff(4014,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4013, 282, 3910, 3937, 4010])).
% 77.71/50.06 tff(4015,plain,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(4016,plain,
% 77.71/50.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4017,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4018,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 77.71/50.06 tff(4019,plain,
% 77.71/50.06 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s2)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4018, 3838, 4015])).
% 77.71/50.06 tff(4020,plain,
% 77.71/50.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s2))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4021,plain,
% 77.71/50.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s2))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4022,plain,
% 77.71/50.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s2)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4021, 4020])).
% 77.71/50.06 tff(4023,plain,
% 77.71/50.06 (~node20(c_e_h_1, c_l, s2)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4022, 334, 4019])).
% 77.71/50.06 tff(4024,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node21(c_e_h_1, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node21(c_e_h_1, c_l, s2, s3)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4025,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node21(c_e_h_1, c_l, s2, s3)))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4026,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node21(c_e_h_1, c_l, s2, s3))),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 77.71/50.06 tff(4027,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4026, 348, 4023, 3936, 3935])).
% 77.71/50.06 tff(4028,plain,((~node21(c_e_h_1, c_l, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3))), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(4029,plain,
% 77.71/50.06 (~node21(c_e_h_1, c_l, s2, s3)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4028, 3935])).
% 77.71/50.06 tff(4030,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_l, s2, s3) | node22(c_e_h_1, c_l, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_l, s2, s3) | node22(c_e_h_1, c_l, s2, s3))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4031,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_l, s2, s3) | node22(c_e_h_1, c_l, s2, s3))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4032,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_l, s2, s3) | node22(c_e_h_1, c_l, s2, s3)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 77.71/50.06 tff(4033,plain,
% 77.71/50.06 (node21(c_e_h_1, c_l, s2, s3) | node22(c_e_h_1, c_l, s2, s3)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4032, 383, 463])).
% 77.71/50.06 tff(4034,plain,
% 77.71/50.06 (node22(c_e_h_1, c_l, s2, s3)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4033, 4029])).
% 77.71/50.06 tff(4035,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s2)), introduced(assumption)).
% 77.71/50.06 tff(4036,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node22(c_e_h_1, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node22(c_e_h_1, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4037,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node22(c_e_h_1, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4038,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | (~node22(c_e_h_1, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 77.71/50.06 tff(4039,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4038, 437, 4035, 4034, 3935])).
% 77.71/50.06 tff(4040,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(4041,plain,
% 77.71/50.06 (~m_and_h_gate_v_out(c_e_h_1, c_l, s3)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4040, 3934])).
% 77.71/50.06 tff(4042,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s3)), introduced(assumption)).
% 77.71/50.06 tff(4043,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s3)), introduced(assumption)).
% 77.71/50.06 tff(4044,plain,
% 77.71/50.06 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4045,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4046,plain,
% 77.71/50.06 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3)),
% 77.71/50.06 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 77.71/50.06 tff(4047,plain,
% 77.71/50.06 ($false),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4046, 1835, 4043, 4042])).
% 77.71/50.06 tff(4048,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.06 tff(4049,plain,
% 77.71/50.06 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)),
% 77.71/50.06 inference(unit_resolution,[status(thm)],[4048, 4041])).
% 77.71/50.06 tff(4050,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s3)), introduced(assumption)).
% 77.71/50.06 tff(4051,assumption,(node5(c_e_h_1, c_j, s3, s4)), introduced(assumption)).
% 77.71/50.06 tff(4052,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4053,plain,
% 77.71/50.06 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)))),
% 77.71/50.06 inference(rewrite,[status(thm)],[])).
% 77.71/50.06 tff(4054,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4))))),
% 77.71/50.06 inference(monotonicity,[status(thm)],[4053])).
% 77.71/50.06 tff(4055,plain,
% 77.71/50.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)))),
% 77.71/50.06 inference(transitivity,[status(thm)],[4054, 4052])).
% 77.71/50.06 tff(4056,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)))),
% 77.71/50.06 inference(quant_inst,[status(thm)],[])).
% 77.71/50.06 tff(4057,plain,
% 77.71/50.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~node5(c_e_h_1, c_j, s3, s4))),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 77.71/50.07 tff(4058,plain,
% 77.71/50.07 ($false),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4057, 1888, 4051, 3802, 3803, 4050])).
% 77.71/50.07 tff(4059,plain,((~node5(c_e_h_1, c_j, s3, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 77.71/50.07 tff(4060,plain,
% 77.71/50.07 ((~node5(c_e_h_1, c_j, s3, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4))),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4059, 4049])).
% 77.71/50.07 tff(4061,plain,
% 77.71/50.07 (~node5(c_e_h_1, c_j, s3, s4)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4060, 3803, 3802])).
% 77.71/50.07 tff(4062,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4063,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4064,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s2)) | m_and_h_gate_v_out(c_e_h_1, c_l, s2)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 77.71/50.07 tff(4065,plain,
% 77.71/50.07 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s2)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4064, 1835, 3934])).
% 77.71/50.07 tff(4066,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s2))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4067,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s2))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4068,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s2)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4067, 4066])).
% 77.71/50.07 tff(4069,plain,
% 77.71/50.07 (node3(c_e_h_3, c_e_h_1, s2)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4068, 1050, 1791])).
% 77.71/50.07 tff(4070,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s2)) | (~node3(c_e_h_3, c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s2)) | (~node3(c_e_h_3, c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4071,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s2)) | (~node3(c_e_h_3, c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4072,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s2)) | (~node3(c_e_h_3, c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 77.71/50.07 tff(4073,plain,
% 77.71/50.07 ((~m_cell_v_ack(c_e_h_1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_q, s2)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4072, 1808, 4069])).
% 77.71/50.07 tff(4074,plain,
% 77.71/50.07 (~m_cell_v_ack(c_e_h_1, s2)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4073, 447])).
% 77.71/50.07 tff(4075,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s2)) | m_cell_v_ack(c_e_h_1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s2)) | m_cell_v_ack(c_e_h_1, s2))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4076,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s2)) | m_cell_v_ack(c_e_h_1, s2))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4077,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s2)) | m_cell_v_ack(c_e_h_1, s2)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 77.71/50.07 tff(4078,plain,
% 77.71/50.07 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s2)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4077, 1820, 4074])).
% 77.71/50.07 tff(4079,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4080,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4081,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s1)) | m_and_h_gate_v_out(c_e_h_1, c_l, s1)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 77.71/50.07 tff(4082,plain,
% 77.71/50.07 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s1)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4081, 1835, 3867])).
% 77.71/50.07 tff(4083,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s1))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4084,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s1))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4085,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s1)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 77.71/50.07 tff(4086,plain,
% 77.71/50.07 (node3(c_e_h_3, c_e_h_1, s1)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4085, 1050, 1791])).
% 77.71/50.07 tff(4087,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s1)) | (~node3(c_e_h_3, c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s1)) | (~node3(c_e_h_3, c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4088,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s1)) | (~node3(c_e_h_3, c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4089,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s1)) | (~node3(c_e_h_3, c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 77.71/50.07 tff(4090,plain,
% 77.71/50.07 ((~m_cell_v_ack(c_e_h_1, s1)) | m_and_h_gate_v_out(c_e_h_3, c_q, s1)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4089, 1808, 4086])).
% 77.71/50.07 tff(4091,plain,
% 77.71/50.07 (~m_cell_v_ack(c_e_h_1, s1)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4090, 442])).
% 77.71/50.07 tff(4092,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s1)) | m_cell_v_ack(c_e_h_1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s1)) | m_cell_v_ack(c_e_h_1, s1))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4093,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s1)) | m_cell_v_ack(c_e_h_1, s1))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4094,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s1)) | m_cell_v_ack(c_e_h_1, s1)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 77.71/50.07 tff(4095,plain,
% 77.71/50.07 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s1)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4094, 1820, 4091])).
% 77.71/50.07 tff(4096,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s2)), introduced(assumption)).
% 77.71/50.07 tff(4097,assumption,(node6(c_e_h_1, c_j, s1, s2)), introduced(assumption)).
% 77.71/50.07 tff(4098,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s1)), introduced(assumption)).
% 77.71/50.07 tff(4099,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s0)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s0)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4100,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s0)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4101,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s0)) | m_and_h_gate_v_out(c_e_h_1, c_l, s0)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 77.71/50.07 tff(4102,plain,
% 77.71/50.07 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s0)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4101, 1835, 3862])).
% 77.71/50.07 tff(4103,assumption,(node5(c_e_h_1, c_j, s0, s1)), introduced(assumption)).
% 77.71/50.07 tff(4104,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4105,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s0))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4106,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s0)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 77.71/50.07 tff(4107,plain,
% 77.71/50.07 (node3(c_e_h_3, c_e_h_1, s0)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4106, 1050, 1791])).
% 77.71/50.07 tff(4108,plain,
% 77.71/50.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s0)) | (~node3(c_e_h_3, c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s0)) | (~node3(c_e_h_3, c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4109,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s0)) | (~node3(c_e_h_3, c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4110,plain,
% 77.71/50.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s0)) | (~node3(c_e_h_3, c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 77.71/50.07 tff(4111,plain,
% 77.71/50.07 ((~m_cell_v_ack(c_e_h_1, s0)) | m_and_h_gate_v_out(c_e_h_3, c_q, s0)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4110, 1808, 4107])).
% 77.71/50.07 tff(4112,plain,
% 77.71/50.07 (~m_cell_v_ack(c_e_h_1, s0)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4111, 427])).
% 77.71/50.07 tff(4113,plain,
% 77.71/50.07 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s0)) | m_cell_v_ack(c_e_h_1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s0)) | m_cell_v_ack(c_e_h_1, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4114,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s0)) | m_cell_v_ack(c_e_h_1, s0))),
% 77.71/50.07 inference(quant_inst,[status(thm)],[])).
% 77.71/50.07 tff(4115,plain,
% 77.71/50.07 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s0)) | m_cell_v_ack(c_e_h_1, s0)),
% 77.71/50.07 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 77.71/50.07 tff(4116,plain,
% 77.71/50.07 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s0)),
% 77.71/50.07 inference(unit_resolution,[status(thm)],[4115, 1820, 4112])).
% 77.71/50.07 tff(4117,plain,
% 77.71/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4118,plain,
% 77.71/50.07 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s0) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~node5(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0))),
% 77.71/50.07 inference(rewrite,[status(thm)],[])).
% 77.71/50.07 tff(4119,plain,
% 77.71/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s0) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~node5(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0)))),
% 77.71/50.07 inference(monotonicity,[status(thm)],[4118])).
% 77.71/50.07 tff(4120,plain,
% 77.71/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s0) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~node5(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0))),
% 77.71/50.07 inference(transitivity,[status(thm)],[4119, 4117])).
% 77.71/50.07 tff(4121,plain,
% 77.71/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s0) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~node5(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)))),
% 77.81/50.07 inference(quant_inst,[status(thm)],[])).
% 77.81/50.07 tff(4122,plain,
% 77.81/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node5(c_e_h_1, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s0)),
% 77.81/50.07 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 77.81/50.07 tff(4123,plain,
% 77.81/50.07 ($false),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4122, 1888, 4098, 4116, 4103, 4102])).
% 77.81/50.07 tff(4124,plain,((~node5(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.07 tff(4125,plain,
% 77.81/50.07 (~node5(c_e_h_1, c_j, s0, s1)),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4124, 4098])).
% 77.81/50.07 tff(4126,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4127,plain,
% 77.81/50.07 ((node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4128,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1)))),
% 77.81/50.07 inference(monotonicity,[status(thm)],[4127])).
% 77.81/50.07 tff(4129,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1))),
% 77.81/50.07 inference(transitivity,[status(thm)],[4128, 4126])).
% 77.81/50.07 tff(4130,plain,
% 77.81/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1) | (~trans(s0, s1)))),
% 77.81/50.07 inference(quant_inst,[status(thm)],[])).
% 77.81/50.07 tff(4131,plain,
% 77.81/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1)),
% 77.81/50.07 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 77.81/50.07 tff(4132,plain,
% 77.81/50.07 (node6(c_e_h_1, c_j, s0, s1) | node5(c_e_h_1, c_j, s0, s1)),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4131, 1870, 183])).
% 77.81/50.07 tff(4133,plain,
% 77.81/50.07 (node6(c_e_h_1, c_j, s0, s1)),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4132, 4125])).
% 77.81/50.07 tff(4134,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s0)), introduced(assumption)).
% 77.81/50.07 tff(4135,plain,
% 77.81/50.07 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s0))),
% 77.81/50.07 inference(quant_inst,[status(thm)],[])).
% 77.81/50.07 tff(4136,plain,
% 77.81/50.07 ($false),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4135, 1730, 4134])).
% 77.81/50.07 tff(4137,plain,(~m_or_h_gate_v_out(c_e_h_1, c_j, s0)), inference(lemma,lemma(discharge,[]))).
% 77.81/50.07 tff(4138,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1)))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4139,plain,
% 77.81/50.07 (((~node6(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1)))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4140,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1))))),
% 77.81/50.07 inference(monotonicity,[status(thm)],[4139])).
% 77.81/50.07 tff(4141,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1)))),
% 77.81/50.07 inference(transitivity,[status(thm)],[4140, 4138])).
% 77.81/50.07 tff(4142,plain,
% 77.81/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))),
% 77.81/50.07 inference(quant_inst,[status(thm)],[])).
% 77.81/50.07 tff(4143,plain,
% 77.81/50.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s1)) | (~node6(c_e_h_1, c_j, s0, s1))),
% 77.81/50.07 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 77.81/50.07 tff(4144,plain,
% 77.81/50.07 ($false),
% 77.81/50.07 inference(unit_resolution,[status(thm)],[4143, 1851, 4137, 4098, 4133])).
% 77.81/50.07 tff(4145,plain,(~m_or_h_gate_v_out(c_e_h_1, c_j, s1)), inference(lemma,lemma(discharge,[]))).
% 77.81/50.07 tff(4146,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2)))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4147,plain,
% 77.81/50.07 (((~node6(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2)))),
% 77.81/50.07 inference(rewrite,[status(thm)],[])).
% 77.81/50.07 tff(4148,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2))))),
% 77.81/50.07 inference(monotonicity,[status(thm)],[4147])).
% 77.81/50.07 tff(4149,plain,
% 77.81/50.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2)))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4148, 4146])).
% 77.81/50.08 tff(4150,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4151,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node6(c_e_h_1, c_j, s1, s2))),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 77.81/50.08 tff(4152,plain,
% 77.81/50.08 ($false),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4151, 1851, 4096, 4145, 4097])).
% 77.81/50.08 tff(4153,plain,((~node6(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.08 tff(4154,plain,
% 77.81/50.08 (~node6(c_e_h_1, c_j, s1, s2)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4153, 4096])).
% 77.81/50.08 tff(4155,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4156,plain,
% 77.81/50.08 ((node6(c_e_h_1, c_j, s1, s2) | node5(c_e_h_1, c_j, s1, s2) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4157,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s1, s2) | node5(c_e_h_1, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2)))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4156])).
% 77.81/50.08 tff(4158,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s1, s2) | node5(c_e_h_1, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4157, 4155])).
% 77.81/50.08 tff(4159,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s1, s2) | node5(c_e_h_1, c_j, s1, s2) | (~trans(s1, s2)))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4160,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2)),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 77.81/50.08 tff(4161,plain,
% 77.81/50.08 (node5(c_e_h_1, c_j, s1, s2) | node6(c_e_h_1, c_j, s1, s2)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4160, 1870, 265])).
% 77.81/50.08 tff(4162,plain,
% 77.81/50.08 (node5(c_e_h_1, c_j, s1, s2)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4161, 4154])).
% 77.81/50.08 tff(4163,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4164,plain,
% 77.81/50.08 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s1) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~node5(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4165,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s1) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~node5(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1)))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4164])).
% 77.81/50.08 tff(4166,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s1) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~node5(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4165, 4163])).
% 77.81/50.08 tff(4167,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s1) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~node5(c_e_h_1, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4168,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s2)) | (~node5(c_e_h_1, c_j, s1, s2)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s1)),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 77.81/50.08 tff(4169,plain,
% 77.81/50.08 ($false),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4168, 1888, 4096, 4162, 4095, 4082])).
% 77.81/50.08 tff(4170,plain,(~m_or_h_gate_v_out(c_e_h_1, c_j, s2)), inference(lemma,lemma(discharge,[]))).
% 77.81/50.08 tff(4171,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s3)), introduced(assumption)).
% 77.81/50.08 tff(4172,assumption,(node6(c_e_h_1, c_j, s2, s3)), introduced(assumption)).
% 77.81/50.08 tff(4173,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s2)), introduced(assumption)).
% 77.81/50.08 tff(4174,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4175,plain,
% 77.81/50.08 (((~node6(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s2)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4176,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3))))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4175])).
% 77.81/50.08 tff(4177,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4176, 4174])).
% 77.81/50.08 tff(4178,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s2))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4179,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | (~node6(c_e_h_1, c_j, s2, s3))),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 77.81/50.08 tff(4180,plain,
% 77.81/50.08 ($false),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4179, 1851, 4173, 4171, 4172])).
% 77.81/50.08 tff(4181,plain,((~node6(c_e_h_1, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.08 tff(4182,plain,
% 77.81/50.08 (~node6(c_e_h_1, c_j, s2, s3)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4181, 4171, 4170])).
% 77.81/50.08 tff(4183,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4184,plain,
% 77.81/50.08 ((node6(c_e_h_1, c_j, s2, s3) | node5(c_e_h_1, c_j, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4185,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s2, s3) | node5(c_e_h_1, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4184])).
% 77.81/50.08 tff(4186,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s2, s3) | node5(c_e_h_1, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4185, 4183])).
% 77.81/50.08 tff(4187,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s2, s3) | node5(c_e_h_1, c_j, s2, s3) | (~trans(s2, s3)))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4188,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3)),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4187, 4186])).
% 77.81/50.08 tff(4189,plain,
% 77.81/50.08 (node5(c_e_h_1, c_j, s2, s3) | node6(c_e_h_1, c_j, s2, s3)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4188, 1870, 463])).
% 77.81/50.08 tff(4190,plain,
% 77.81/50.08 (node5(c_e_h_1, c_j, s2, s3)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4189, 4182])).
% 77.81/50.08 tff(4191,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4192,plain,
% 77.81/50.08 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4193,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3))))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4192])).
% 77.81/50.08 tff(4194,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4193, 4191])).
% 77.81/50.08 tff(4195,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4196,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s2) | m_or_h_gate_v_in1(c_e_h_1, c_j, s2) | (~node5(c_e_h_1, c_j, s2, s3))),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 77.81/50.08 tff(4197,plain,
% 77.81/50.08 ($false),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4196, 1888, 4171, 4190, 4078, 4065])).
% 77.81/50.08 tff(4198,plain,(~m_or_h_gate_v_out(c_e_h_1, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 77.81/50.08 tff(4199,assumption,(node6(c_e_h_1, c_j, s3, s4)), introduced(assumption)).
% 77.81/50.08 tff(4200,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s3)), introduced(assumption)).
% 77.81/50.08 tff(4201,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4202,plain,
% 77.81/50.08 (((~node6(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4)))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4203,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4))))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4202])).
% 77.81/50.08 tff(4204,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4)))),
% 77.81/50.08 inference(transitivity,[status(thm)],[4203, 4201])).
% 77.81/50.08 tff(4205,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))),
% 77.81/50.08 inference(quant_inst,[status(thm)],[])).
% 77.81/50.08 tff(4206,plain,
% 77.81/50.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | (~node6(c_e_h_1, c_j, s3, s4))),
% 77.81/50.08 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 77.81/50.08 tff(4207,plain,
% 77.81/50.08 ($false),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4206, 1851, 4200, 4199, 3803])).
% 77.81/50.08 tff(4208,plain,((~node6(c_e_h_1, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s4))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.08 tff(4209,plain,
% 77.81/50.08 (~node6(c_e_h_1, c_j, s3, s4)),
% 77.81/50.08 inference(unit_resolution,[status(thm)],[4208, 3803, 4198])).
% 77.81/50.08 tff(4210,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4211,plain,
% 77.81/50.08 ((node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4))),
% 77.81/50.08 inference(rewrite,[status(thm)],[])).
% 77.81/50.08 tff(4212,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4)))),
% 77.81/50.08 inference(monotonicity,[status(thm)],[4211])).
% 77.81/50.08 tff(4213,plain,
% 77.81/50.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4))),
% 77.81/50.09 inference(transitivity,[status(thm)],[4212, 4210])).
% 77.81/50.09 tff(4214,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4) | (~trans(s3, s4)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4215,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 77.81/50.09 tff(4216,plain,
% 77.81/50.09 (node6(c_e_h_1, c_j, s3, s4) | node5(c_e_h_1, c_j, s3, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4215, 1870, 711])).
% 77.81/50.09 tff(4217,plain,
% 77.81/50.09 ($false),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4216, 4209, 4061])).
% 77.81/50.09 tff(4218,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 77.81/50.09 tff(4219,plain,
% 77.81/50.09 (~m_or_h_gate_v_out(c_e_h_1, c_j, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4218, 3801])).
% 77.81/50.09 tff(4220,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s4))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4221,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s4))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4222,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s4)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 77.81/50.09 tff(4223,plain,
% 77.81/50.09 (node3(c_e_h_3, c_e_h_1, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4222, 1050, 1791])).
% 77.81/50.09 tff(4224,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s4)) | (~node3(c_e_h_3, c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s4)) | (~node3(c_e_h_3, c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4225,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s4)) | (~node3(c_e_h_3, c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4226,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s4)) | (~node3(c_e_h_3, c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 77.81/50.09 tff(4227,plain,
% 77.81/50.09 ((~m_cell_v_ack(c_e_h_1, s4)) | m_and_h_gate_v_out(c_e_h_3, c_q, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4226, 1808, 4223])).
% 77.81/50.09 tff(4228,plain,
% 77.81/50.09 (~m_cell_v_ack(c_e_h_1, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4227, 726])).
% 77.81/50.09 tff(4229,plain,
% 77.81/50.09 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)) | m_cell_v_ack(c_e_h_1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)) | m_cell_v_ack(c_e_h_1, s4))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4230,plain,
% 77.81/50.09 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)) | m_cell_v_ack(c_e_h_1, s4))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4231,plain,
% 77.81/50.09 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)) | m_cell_v_ack(c_e_h_1, s4)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4230, 4229])).
% 77.81/50.09 tff(4232,plain,
% 77.81/50.09 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4231, 1820, 4228])).
% 77.81/50.09 tff(4233,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s4)), introduced(assumption)).
% 77.81/50.09 tff(4234,plain,
% 77.81/50.09 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X)))),
% 77.81/50.09 inference(bind,[status(th)],[])).
% 77.81/50.09 tff(4235,plain,
% 77.81/50.09 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.81/50.09 inference(quant_intro,[status(thm)],[4234])).
% 77.81/50.09 tff(4236,plain,
% 77.81/50.09 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4237,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_20')).
% 77.81/50.09 tff(4238,plain,
% 77.81/50.09 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 77.81/50.09 tff(4239,plain,(
% 77.81/50.09 ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.81/50.09 inference(skolemize,[status(sab)],[4238])).
% 77.81/50.09 tff(4240,plain,
% 77.81/50.09 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4239, 4235])).
% 77.81/50.09 tff(4241,plain,
% 77.81/50.09 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4242,plain,
% 77.81/50.09 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4243,plain,
% 77.81/50.09 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_and_h_gate_v_out(c_e_h_1, c_c, s0)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 77.81/50.09 tff(4244,plain,
% 77.81/50.09 (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4243, 4240, 2479])).
% 77.81/50.09 tff(4245,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s1)), introduced(assumption)).
% 77.81/50.09 tff(4246,assumption,(node15(c_e_h_1, c_e, s0, s1)), introduced(assumption)).
% 77.81/50.09 tff(4247,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node15(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node15(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4248,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node15(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4249,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node15(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 77.81/50.09 tff(4250,plain,
% 77.81/50.09 ($false),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4249, 612, 4245, 3957, 4246])).
% 77.81/50.09 tff(4251,plain,((~node15(c_e_h_1, c_e, s0, s1)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.09 tff(4252,plain,
% 77.81/50.09 (~node15(c_e_h_1, c_e, s0, s1)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4251, 4245])).
% 77.81/50.09 tff(4253,assumption,(node18(c_e_h_1, c_e, s0, s1)), introduced(assumption)).
% 77.81/50.09 tff(4254,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1)))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4255,plain,
% 77.81/50.09 (((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~node18(c_e_h_1, c_e, s0, s1))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1)))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4256,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~node18(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1))))),
% 77.81/50.09 inference(monotonicity,[status(thm)],[4255])).
% 77.81/50.09 tff(4257,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~node18(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1)))),
% 77.81/50.09 inference(transitivity,[status(thm)],[4256, 4254])).
% 77.81/50.09 tff(4258,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~node18(c_e_h_1, c_e, s0, s1)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4259,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node18(c_e_h_1, c_e, s0, s1))),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 77.81/50.09 tff(4260,plain,
% 77.81/50.09 ($false),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4259, 481, 4245, 3957, 4253])).
% 77.81/50.09 tff(4261,plain,((~node18(c_e_h_1, c_e, s0, s1)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.09 tff(4262,plain,
% 77.81/50.09 (~node18(c_e_h_1, c_e, s0, s1)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4261, 4245])).
% 77.81/50.09 tff(4263,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_e, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_e, s0, s1))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4264,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_e, s0, s1))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4265,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_e, s0, s1)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4264, 4263])).
% 77.81/50.09 tff(4266,plain,
% 77.81/50.09 (node19(c_e_h_1, c_e, s0, s1)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4265, 494, 183])).
% 77.81/50.09 tff(4267,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4268,plain,
% 77.81/50.09 ((node17(c_e_h_1, c_e, s0) | node18(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1))) <=> ((~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4269,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s0) | node18(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(monotonicity,[status(thm)],[4268])).
% 77.81/50.09 tff(4270,plain,
% 77.81/50.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s0) | node18(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(transitivity,[status(thm)],[4269, 4267])).
% 77.81/50.09 tff(4271,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s0) | node18(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4272,plain,
% 77.81/50.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 77.81/50.09 tff(4273,plain,
% 77.81/50.09 (node18(c_e_h_1, c_e, s0, s1) | node17(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4272, 508, 4266])).
% 77.81/50.09 tff(4274,plain,
% 77.81/50.09 (node17(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4273, 4262])).
% 77.81/50.09 tff(4275,assumption,(node17(c_e_h_1, c_e, s0)), introduced(assumption)).
% 77.81/50.09 tff(4276,assumption,(node16(c_e_h_1, c_e, s0)), introduced(assumption)).
% 77.81/50.09 tff(4277,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s0)), introduced(assumption)).
% 77.81/50.09 tff(4278,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4279,plain,
% 77.81/50.09 ((m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4280,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0))))),
% 77.81/50.09 inference(monotonicity,[status(thm)],[4279])).
% 77.81/50.09 tff(4281,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(transitivity,[status(thm)],[4280, 4278])).
% 77.81/50.09 tff(4282,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4283,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 77.81/50.09 tff(4284,plain,
% 77.81/50.09 (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4283, 1172, 4275])).
% 77.81/50.09 tff(4285,plain,
% 77.81/50.09 (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4284, 4277])).
% 77.81/50.09 tff(4286,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s0)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s0)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4287,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s0)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4288,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s0)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 77.81/50.09 tff(4289,plain,
% 77.81/50.09 (m_c_h_element_v_in1(c_e_h_1, c_e, s0) | m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4288, 559, 4276])).
% 77.81/50.09 tff(4290,plain,
% 77.81/50.09 ($false),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4289, 4285, 4277])).
% 77.81/50.09 tff(4291,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~node16(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.09 tff(4292,plain,
% 77.81/50.09 (m_c_h_element_v_in1(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4291, 4276, 4275])).
% 77.81/50.09 tff(4293,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4294,plain,
% 77.81/50.09 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0))) <=> ((~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4295,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(monotonicity,[status(thm)],[4294])).
% 77.81/50.09 tff(4296,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(transitivity,[status(thm)],[4295, 4293])).
% 77.81/50.09 tff(4297,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0) | (~node17(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4298,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 77.81/50.09 tff(4299,plain,
% 77.81/50.09 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4298, 541, 4275])).
% 77.81/50.09 tff(4300,plain,
% 77.81/50.09 (m_c_h_element_v_in2(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4299, 4292])).
% 77.81/50.09 tff(4301,plain,
% 77.81/50.09 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(rewrite,[status(thm)],[])).
% 77.81/50.09 tff(4302,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0)))),
% 77.81/50.09 inference(quant_inst,[status(thm)],[])).
% 77.81/50.09 tff(4303,plain,
% 77.81/50.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 77.81/50.09 tff(4304,plain,
% 77.81/50.09 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s0)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s0))),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4303, 1192, 4276])).
% 77.81/50.09 tff(4305,plain,
% 77.81/50.09 ($false),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4304, 4300, 4292])).
% 77.81/50.09 tff(4306,plain,((~node16(c_e_h_1, c_e, s0)) | (~node17(c_e_h_1, c_e, s0))), inference(lemma,lemma(discharge,[]))).
% 77.81/50.09 tff(4307,plain,
% 77.81/50.09 (~node16(c_e_h_1, c_e, s0)),
% 77.81/50.09 inference(unit_resolution,[status(thm)],[4306, 4274])).
% 77.84/50.10 tff(4308,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4309,plain,
% 77.84/50.10 ((node16(c_e_h_1, c_e, s0) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1))) <=> ((~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4310,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s0) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0)))),
% 77.84/50.10 inference(monotonicity,[status(thm)],[4309])).
% 77.84/50.10 tff(4311,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s0) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(transitivity,[status(thm)],[4310, 4308])).
% 77.84/50.10 tff(4312,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s0) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | (~node19(c_e_h_1, c_e, s0, s1)))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4313,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s0, s1)) | node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 77.84/50.10 tff(4314,plain,
% 77.84/50.10 (node14(c_e_h_1, c_e, s0, s1) | node15(c_e_h_1, c_e, s0, s1) | node16(c_e_h_1, c_e, s0)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4313, 594, 4266])).
% 77.84/50.10 tff(4315,plain,
% 77.84/50.10 (node14(c_e_h_1, c_e, s0, s1)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4314, 4307, 4252])).
% 77.84/50.10 tff(4316,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4317,plain,
% 77.84/50.10 (((~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4318,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0)))),
% 77.84/50.10 inference(monotonicity,[status(thm)],[4317])).
% 77.84/50.10 tff(4319,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0))),
% 77.84/50.10 inference(transitivity,[status(thm)],[4318, 4316])).
% 77.84/50.10 tff(4320,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4321,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s1)) | (~node14(c_e_h_1, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s0)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 77.84/50.10 tff(4322,plain,
% 77.84/50.10 ($false),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4321, 575, 4245, 4315, 4244])).
% 77.84/50.10 tff(4323,plain,(~m_c_h_element_v_out(c_e_h_1, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.10 tff(4324,plain,
% 77.84/50.10 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1) | m_c_h_element_v_out(c_e_h_1, c_e, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1) | m_c_h_element_v_out(c_e_h_1, c_e, s1))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4325,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1) | m_c_h_element_v_out(c_e_h_1, c_e, s1))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4326,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1) | m_c_h_element_v_out(c_e_h_1, c_e, s1)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 77.84/50.10 tff(4327,plain,
% 77.84/50.10 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1) | m_c_h_element_v_out(c_e_h_1, c_e, s1)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4326, 3964])).
% 77.84/50.10 tff(4328,plain,
% 77.84/50.10 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4327, 4323])).
% 77.84/50.10 tff(4329,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)), introduced(assumption)).
% 77.84/50.10 tff(4330,assumption,(node11(c_e_h_1, c_n, s1, s2)), introduced(assumption)).
% 77.84/50.10 tff(4331,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)), introduced(assumption)).
% 77.84/50.10 tff(4332,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4333,plain,
% 77.84/50.10 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4334,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2))))),
% 77.84/50.10 inference(monotonicity,[status(thm)],[4333])).
% 77.84/50.10 tff(4335,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(transitivity,[status(thm)],[4334, 4332])).
% 77.84/50.10 tff(4336,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4337,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~node11(c_e_h_1, c_n, s1, s2))),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 77.84/50.10 tff(4338,plain,
% 77.84/50.10 ($false),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4337, 208, 4331, 4329, 4330])).
% 77.84/50.10 tff(4339,plain,((~node11(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.10 tff(4340,plain,
% 77.84/50.10 ((~node11(c_e_h_1, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4339, 3988])).
% 77.84/50.10 tff(4341,plain,
% 77.84/50.10 (~node11(c_e_h_1, c_n, s1, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4340, 4329])).
% 77.84/50.10 tff(4342,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_1, c_n, s1, s2) | node11(c_e_h_1, c_n, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_1, c_n, s1, s2) | node11(c_e_h_1, c_n, s1, s2))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4343,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_1, c_n, s1, s2) | node11(c_e_h_1, c_n, s1, s2))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4344,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_1, c_n, s1, s2) | node11(c_e_h_1, c_n, s1, s2)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 77.84/50.10 tff(4345,plain,
% 77.84/50.10 (node10(c_e_h_1, c_n, s1, s2) | node11(c_e_h_1, c_n, s1, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4344, 193, 265])).
% 77.84/50.10 tff(4346,plain,
% 77.84/50.10 (node10(c_e_h_1, c_n, s1, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4345, 4341])).
% 77.84/50.10 tff(4347,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)), introduced(assumption)).
% 77.84/50.10 tff(4348,plain,
% 77.84/50.10 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4349,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4350,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 77.84/50.10 tff(4351,plain,
% 77.84/50.10 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4350, 3976])).
% 77.84/50.10 tff(4352,plain,
% 77.84/50.10 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4351, 3910])).
% 77.84/50.10 tff(4353,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4354,plain,
% 77.84/50.10 (((~node10(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4355,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2))))),
% 77.84/50.10 inference(monotonicity,[status(thm)],[4354])).
% 77.84/50.10 tff(4356,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2)))),
% 77.84/50.10 inference(transitivity,[status(thm)],[4355, 4353])).
% 77.84/50.10 tff(4357,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4358,plain,
% 77.84/50.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1)) | (~node10(c_e_h_1, c_n, s1, s2))),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 77.84/50.10 tff(4359,plain,
% 77.84/50.10 ($false),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4358, 160, 4352, 4347, 4329, 4346])).
% 77.84/50.10 tff(4360,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s1))), inference(lemma,lemma(discharge,[]))).
% 77.84/50.10 tff(4361,plain,
% 77.84/50.10 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4360, 4328])).
% 77.84/50.10 tff(4362,plain,
% 77.84/50.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4363,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4364,plain,
% 77.84/50.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4363, 4362])).
% 77.84/50.10 tff(4365,plain,
% 77.84/50.10 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4364, 3886, 4361])).
% 77.84/50.10 tff(4366,plain,
% 77.84/50.10 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2))),
% 77.84/50.10 inference(rewrite,[status(thm)],[])).
% 77.84/50.10 tff(4367,plain,
% 77.84/50.10 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2))),
% 77.84/50.10 inference(quant_inst,[status(thm)],[])).
% 77.84/50.10 tff(4368,plain,
% 77.84/50.10 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s2)),
% 77.84/50.10 inference(modus_ponens,[status(thm)],[4367, 4366])).
% 77.84/50.10 tff(4369,plain,
% 77.84/50.10 (~node9(c_e_h_1, c_m, s2)),
% 77.84/50.10 inference(unit_resolution,[status(thm)],[4368, 238, 4365])).
% 77.84/50.10 tff(4370,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)), introduced(assumption)).
% 77.84/50.10 tff(4371,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)), introduced(assumption)).
% 77.84/50.10 tff(4372,assumption,(node11(c_e_h_1, c_m, s2, s3)), introduced(assumption)).
% 77.84/50.10 tff(4373,plain,
% 77.84/50.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node11(c_e_h_1, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node11(c_e_h_1, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4374,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node11(c_e_h_1, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4375,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node11(c_e_h_1, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 77.84/50.11 tff(4376,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4375, 282, 4370, 4372, 4371])).
% 77.84/50.11 tff(4377,plain,((~node11(c_e_h_1, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4378,plain,
% 77.84/50.11 ((~node11(c_e_h_1, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4377, 4015])).
% 77.84/50.11 tff(4379,plain,
% 77.84/50.11 (~node11(c_e_h_1, c_m, s2, s3)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4378, 4370])).
% 77.84/50.11 tff(4380,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_1, c_m, s2, s3) | node11(c_e_h_1, c_m, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_1, c_m, s2, s3) | node11(c_e_h_1, c_m, s2, s3))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4381,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_1, c_m, s2, s3) | node11(c_e_h_1, c_m, s2, s3))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4382,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_1, c_m, s2, s3) | node11(c_e_h_1, c_m, s2, s3)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4381, 4380])).
% 77.84/50.11 tff(4383,plain,
% 77.84/50.11 (node10(c_e_h_1, c_m, s2, s3) | node11(c_e_h_1, c_m, s2, s3)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4382, 193, 463])).
% 77.84/50.11 tff(4384,plain,
% 77.84/50.11 (node10(c_e_h_1, c_m, s2, s3)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4383, 4379])).
% 77.84/50.11 tff(4385,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4386,plain,
% 77.84/50.11 ((node9(c_e_h_1, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node10(c_e_h_1, c_m, s2, s3))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4387,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node10(c_e_h_1, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3))))),
% 77.84/50.11 inference(monotonicity,[status(thm)],[4386])).
% 77.84/50.11 tff(4388,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node10(c_e_h_1, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3)))),
% 77.84/50.11 inference(transitivity,[status(thm)],[4387, 4385])).
% 77.84/50.11 tff(4389,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | (~node10(c_e_h_1, c_m, s2, s3)))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4390,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)) | node9(c_e_h_1, c_m, s2) | (~node10(c_e_h_1, c_m, s2, s3))),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 77.84/50.11 tff(4391,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4390, 252, 4370, 4384, 4369])).
% 77.84/50.11 tff(4392,plain,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4393,plain,
% 77.84/50.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4394,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4395,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 77.84/50.11 tff(4396,plain,
% 77.84/50.11 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s3)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4395, 3838, 4392])).
% 77.84/50.11 tff(4397,plain,
% 77.84/50.11 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s3))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4398,plain,
% 77.84/50.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s3))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4399,plain,
% 77.84/50.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s3)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 77.84/50.11 tff(4400,plain,
% 77.84/50.11 (~node20(c_e_h_1, c_l, s3)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4399, 334, 4396])).
% 77.84/50.11 tff(4401,assumption,(node21(c_e_h_1, c_l, s3, s4)), introduced(assumption)).
% 77.84/50.11 tff(4402,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node21(c_e_h_1, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node21(c_e_h_1, c_l, s3, s4)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4403,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node21(c_e_h_1, c_l, s3, s4)))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4404,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node21(c_e_h_1, c_l, s3, s4))),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 77.84/50.11 tff(4405,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4404, 348, 4401, 4400, 4233])).
% 77.84/50.11 tff(4406,plain,((~node21(c_e_h_1, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4))), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4407,plain,
% 77.84/50.11 (~node21(c_e_h_1, c_l, s3, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4406, 4233])).
% 77.84/50.11 tff(4408,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_l, s3, s4) | node22(c_e_h_1, c_l, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_l, s3, s4) | node22(c_e_h_1, c_l, s3, s4))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4409,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_l, s3, s4) | node22(c_e_h_1, c_l, s3, s4))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4410,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_l, s3, s4) | node22(c_e_h_1, c_l, s3, s4)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 77.84/50.11 tff(4411,plain,
% 77.84/50.11 (node21(c_e_h_1, c_l, s3, s4) | node22(c_e_h_1, c_l, s3, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4410, 383, 711])).
% 77.84/50.11 tff(4412,plain,
% 77.84/50.11 (node22(c_e_h_1, c_l, s3, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4411, 4407])).
% 77.84/50.11 tff(4413,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node22(c_e_h_1, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node22(c_e_h_1, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4414,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node22(c_e_h_1, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4415,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | (~node22(c_e_h_1, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 77.84/50.11 tff(4416,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4415, 437, 4412, 4233, 4043])).
% 77.84/50.11 tff(4417,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4418,plain,
% 77.84/50.11 (~m_and_h_gate_v_out(c_e_h_1, c_l, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4417, 4041])).
% 77.84/50.11 tff(4419,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s4)), introduced(assumption)).
% 77.84/50.11 tff(4420,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s4)), introduced(assumption)).
% 77.84/50.11 tff(4421,plain,
% 77.84/50.11 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4422,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4423,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 77.84/50.11 tff(4424,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4423, 1835, 4420, 4419])).
% 77.84/50.11 tff(4425,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4426,plain,
% 77.84/50.11 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4425, 4418])).
% 77.84/50.11 tff(4427,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s4)), introduced(assumption)).
% 77.84/50.11 tff(4428,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s4)), introduced(assumption)).
% 77.84/50.11 tff(4429,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s5)), introduced(assumption)).
% 77.84/50.11 tff(4430,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s4)), introduced(assumption)).
% 77.84/50.11 tff(4431,assumption,(node6(c_e_h_1, c_j, s4, s5)), introduced(assumption)).
% 77.84/50.11 tff(4432,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4433,plain,
% 77.84/50.11 (((~node6(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4434,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5))))),
% 77.84/50.11 inference(monotonicity,[status(thm)],[4433])).
% 77.84/50.11 tff(4435,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(transitivity,[status(thm)],[4434, 4432])).
% 77.84/50.11 tff(4436,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4437,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~node6(c_e_h_1, c_j, s4, s5))),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4436, 4435])).
% 77.84/50.11 tff(4438,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4437, 1851, 4431, 4430, 4429])).
% 77.84/50.11 tff(4439,plain,((~node6(c_e_h_1, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5))), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4440,plain,
% 77.84/50.11 (~node6(c_e_h_1, c_j, s4, s5)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4439, 4429, 4430])).
% 77.84/50.11 tff(4441,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4442,plain,
% 77.84/50.11 ((node6(c_e_h_1, c_j, s4, s5) | node5(c_e_h_1, c_j, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4443,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s4, s5) | node5(c_e_h_1, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(monotonicity,[status(thm)],[4442])).
% 77.84/50.11 tff(4444,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s4, s5) | node5(c_e_h_1, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5))),
% 77.84/50.11 inference(transitivity,[status(thm)],[4443, 4441])).
% 77.84/50.11 tff(4445,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s4, s5) | node5(c_e_h_1, c_j, s4, s5) | (~trans(s4, s5)))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4446,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 77.84/50.11 tff(4447,plain,
% 77.84/50.11 (node5(c_e_h_1, c_j, s4, s5) | node6(c_e_h_1, c_j, s4, s5)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4446, 1870, 930])).
% 77.84/50.11 tff(4448,plain,
% 77.84/50.11 (node5(c_e_h_1, c_j, s4, s5)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4447, 4440])).
% 77.84/50.11 tff(4449,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4450,plain,
% 77.84/50.11 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4451,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5))))),
% 77.84/50.11 inference(monotonicity,[status(thm)],[4450])).
% 77.84/50.11 tff(4452,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)))),
% 77.84/50.11 inference(transitivity,[status(thm)],[4451, 4449])).
% 77.84/50.11 tff(4453,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4454,plain,
% 77.84/50.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | (~node5(c_e_h_1, c_j, s4, s5))),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4453, 4452])).
% 77.84/50.11 tff(4455,plain,
% 77.84/50.11 ($false),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4454, 1888, 4448, 4429, 4428, 4427])).
% 77.84/50.11 tff(4456,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | m_or_h_gate_v_in1(c_e_h_1, c_j, s4) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 77.84/50.11 tff(4457,plain,
% 77.84/50.11 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s4) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4456, 4426])).
% 77.84/50.11 tff(4458,plain,
% 77.84/50.11 (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4457, 4232, 4219])).
% 77.84/50.11 tff(4459,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s5)), introduced(assumption)).
% 77.84/50.11 tff(4460,plain,
% 77.84/50.11 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.84/50.11 inference(rewrite,[status(thm)],[])).
% 77.84/50.11 tff(4461,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1))),
% 77.84/50.11 inference(quant_inst,[status(thm)],[])).
% 77.84/50.11 tff(4462,plain,
% 77.84/50.11 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s1)) | m_and_h_gate_v_out(c_e_h_1, c_c, s1)),
% 77.84/50.11 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 77.84/50.11 tff(4463,plain,
% 77.84/50.11 (~m_c_h_element_v_in1(c_e_h_1, c_e, s1)),
% 77.84/50.11 inference(unit_resolution,[status(thm)],[4462, 4240, 2669])).
% 77.84/50.11 tff(4464,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.84/50.11 tff(4465,assumption,(node15(c_e_h_1, c_e, s1, s2)), introduced(assumption)).
% 77.84/50.11 tff(4466,plain,
% 77.84/50.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node15(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node15(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4467,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node15(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1))),
% 77.84/50.12 inference(quant_inst,[status(thm)],[])).
% 77.84/50.12 tff(4468,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node15(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1)),
% 77.84/50.12 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 77.84/50.12 tff(4469,plain,
% 77.84/50.12 ($false),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4468, 612, 4323, 4464, 4465])).
% 77.84/50.12 tff(4470,plain,((~node15(c_e_h_1, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 77.84/50.12 tff(4471,plain,
% 77.84/50.12 (~node15(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4470, 4464])).
% 77.84/50.12 tff(4472,assumption,(node18(c_e_h_1, c_e, s1, s2)), introduced(assumption)).
% 77.84/50.12 tff(4473,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4474,plain,
% 77.84/50.12 (((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~node18(c_e_h_1, c_e, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4475,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~node18(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2))))),
% 77.84/50.12 inference(monotonicity,[status(thm)],[4474])).
% 77.84/50.12 tff(4476,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~node18(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(transitivity,[status(thm)],[4475, 4473])).
% 77.84/50.12 tff(4477,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~node18(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(quant_inst,[status(thm)],[])).
% 77.84/50.12 tff(4478,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | (~node18(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 77.84/50.12 tff(4479,plain,
% 77.84/50.12 ($false),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4478, 481, 4323, 4464, 4472])).
% 77.84/50.12 tff(4480,plain,((~node18(c_e_h_1, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 77.84/50.12 tff(4481,plain,
% 77.84/50.12 (~node18(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4480, 4464])).
% 77.84/50.12 tff(4482,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4483,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(quant_inst,[status(thm)],[])).
% 77.84/50.12 tff(4484,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 77.84/50.12 tff(4485,plain,
% 77.84/50.12 (node19(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4484, 494, 265])).
% 77.84/50.12 tff(4486,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4487,plain,
% 77.84/50.12 ((node17(c_e_h_1, c_e, s1) | node18(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2))) <=> (node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4488,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s1) | node18(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(monotonicity,[status(thm)],[4487])).
% 77.84/50.12 tff(4489,plain,
% 77.84/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s1) | node18(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2))),
% 77.84/50.12 inference(transitivity,[status(thm)],[4488, 4486])).
% 77.84/50.12 tff(4490,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s1) | node18(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))),
% 77.84/50.12 inference(quant_inst,[status(thm)],[])).
% 77.84/50.12 tff(4491,plain,
% 77.84/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node18(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 77.84/50.12 tff(4492,plain,
% 77.84/50.12 (node17(c_e_h_1, c_e, s1) | node18(c_e_h_1, c_e, s1, s2)),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4491, 508, 4485])).
% 77.84/50.12 tff(4493,plain,
% 77.84/50.12 (node17(c_e_h_1, c_e, s1)),
% 77.84/50.12 inference(unit_resolution,[status(thm)],[4492, 4481])).
% 77.84/50.12 tff(4494,plain,
% 77.84/50.12 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s1)) | (~node17(c_e_h_1, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s1)) | (~node17(c_e_h_1, c_e, s1)))),
% 77.84/50.12 inference(rewrite,[status(thm)],[])).
% 77.84/50.12 tff(4495,plain,
% 77.84/50.12 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s1)) | (~node17(c_e_h_1, c_e, s1)))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4496,plain,
% 77.86/50.12 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s1)) | (~node17(c_e_h_1, c_e, s1))),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 77.86/50.12 tff(4497,plain,
% 77.86/50.12 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s1)) | (~node17(c_e_h_1, c_e, s1))),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4496, 1172, 4463])).
% 77.86/50.12 tff(4498,plain,
% 77.86/50.12 (~m_c_h_element_v_in2(c_e_h_1, c_e, s1)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4497, 4493])).
% 77.86/50.12 tff(4499,plain,
% 77.86/50.12 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | m_c_h_element_v_in2(c_e_h_1, c_e, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | m_c_h_element_v_in2(c_e_h_1, c_e, s1))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4500,plain,
% 77.86/50.12 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | m_c_h_element_v_in2(c_e_h_1, c_e, s1))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4501,plain,
% 77.86/50.12 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s1)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | m_c_h_element_v_in2(c_e_h_1, c_e, s1)),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 77.86/50.12 tff(4502,plain,
% 77.86/50.12 ((~node16(c_e_h_1, c_e, s1)) | m_c_h_element_v_in2(c_e_h_1, c_e, s1)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4501, 559, 4463])).
% 77.86/50.12 tff(4503,plain,
% 77.86/50.12 (~node16(c_e_h_1, c_e, s1)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4502, 4498])).
% 77.86/50.12 tff(4504,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4505,plain,
% 77.86/50.12 ((node16(c_e_h_1, c_e, s1) | node14(c_e_h_1, c_e, s1, s2) | node15(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2))) <=> (node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4506,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s1) | node14(c_e_h_1, c_e, s1, s2) | node15(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2)))),
% 77.86/50.12 inference(monotonicity,[status(thm)],[4505])).
% 77.86/50.12 tff(4507,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s1) | node14(c_e_h_1, c_e, s1, s2) | node15(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2))),
% 77.86/50.12 inference(transitivity,[status(thm)],[4506, 4504])).
% 77.86/50.12 tff(4508,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s1) | node14(c_e_h_1, c_e, s1, s2) | node15(c_e_h_1, c_e, s1, s2) | (~node19(c_e_h_1, c_e, s1, s2)))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4509,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | (~node19(c_e_h_1, c_e, s1, s2)) | node15(c_e_h_1, c_e, s1, s2)),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4508, 4507])).
% 77.86/50.12 tff(4510,plain,
% 77.86/50.12 (node14(c_e_h_1, c_e, s1, s2) | node16(c_e_h_1, c_e, s1) | node15(c_e_h_1, c_e, s1, s2)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4509, 594, 4485])).
% 77.86/50.12 tff(4511,plain,
% 77.86/50.12 (node14(c_e_h_1, c_e, s1, s2)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4510, 4503, 4471])).
% 77.86/50.12 tff(4512,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4513,plain,
% 77.86/50.12 (((~node14(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4514,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2))))),
% 77.86/50.12 inference(monotonicity,[status(thm)],[4513])).
% 77.86/50.12 tff(4515,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2)))),
% 77.86/50.12 inference(transitivity,[status(thm)],[4514, 4512])).
% 77.86/50.12 tff(4516,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4517,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s1) | (~node14(c_e_h_1, c_e, s1, s2))),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 77.86/50.12 tff(4518,plain,
% 77.86/50.12 ($false),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4517, 575, 4464, 4511, 4463])).
% 77.86/50.12 tff(4519,plain,(~m_c_h_element_v_out(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.12 tff(4520,plain,
% 77.86/50.12 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2) | m_c_h_element_v_out(c_e_h_1, c_e, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2) | m_c_h_element_v_out(c_e_h_1, c_e, s2))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4521,plain,
% 77.86/50.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2) | m_c_h_element_v_out(c_e_h_1, c_e, s2))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4522,plain,
% 77.86/50.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2) | m_c_h_element_v_out(c_e_h_1, c_e, s2)),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 77.86/50.12 tff(4523,plain,
% 77.86/50.12 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2) | m_c_h_element_v_out(c_e_h_1, c_e, s2)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4522, 3964])).
% 77.86/50.12 tff(4524,plain,
% 77.86/50.12 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4523, 4519])).
% 77.86/50.12 tff(4525,plain,
% 77.86/50.12 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4526,plain,
% 77.86/50.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4527,plain,
% 77.86/50.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 77.86/50.12 tff(4528,plain,
% 77.86/50.12 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4527, 3976, 4015])).
% 77.86/50.12 tff(4529,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)), introduced(assumption)).
% 77.86/50.12 tff(4530,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)), introduced(assumption)).
% 77.86/50.12 tff(4531,assumption,(node11(c_e_h_1, c_n, s2, s3)), introduced(assumption)).
% 77.86/50.12 tff(4532,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4533,plain,
% 77.86/50.12 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~node11(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4534,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~node11(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3))))),
% 77.86/50.12 inference(monotonicity,[status(thm)],[4533])).
% 77.86/50.12 tff(4535,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~node11(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3)))),
% 77.86/50.12 inference(transitivity,[status(thm)],[4534, 4532])).
% 77.86/50.12 tff(4536,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~node11(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)))),
% 77.86/50.12 inference(quant_inst,[status(thm)],[])).
% 77.86/50.12 tff(4537,plain,
% 77.86/50.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | (~node11(c_e_h_1, c_n, s2, s3))),
% 77.86/50.12 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 77.86/50.12 tff(4538,plain,
% 77.86/50.12 ($false),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4537, 208, 4530, 4529, 4531])).
% 77.86/50.12 tff(4539,plain,((~node11(c_e_h_1, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.12 tff(4540,plain,
% 77.86/50.12 (~node11(c_e_h_1, c_n, s2, s3)),
% 77.86/50.12 inference(unit_resolution,[status(thm)],[4539, 4530, 4529])).
% 77.86/50.12 tff(4541,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)), introduced(assumption)).
% 77.86/50.12 tff(4542,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)), introduced(assumption)).
% 77.86/50.12 tff(4543,assumption,(node10(c_e_h_1, c_n, s2, s3)), introduced(assumption)).
% 77.86/50.12 tff(4544,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4545,plain,
% 77.86/50.12 (((~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)))),
% 77.86/50.12 inference(rewrite,[status(thm)],[])).
% 77.86/50.12 tff(4546,plain,
% 77.86/50.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2))))),
% 77.86/50.13 inference(monotonicity,[status(thm)],[4545])).
% 77.86/50.13 tff(4547,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)))),
% 77.86/50.13 inference(transitivity,[status(thm)],[4546, 4544])).
% 77.86/50.13 tff(4548,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4549,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~node10(c_e_h_1, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2))),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 77.86/50.13 tff(4550,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4549, 160, 4530, 4541, 4543, 4542])).
% 77.86/50.13 tff(4551,plain,((~node10(c_e_h_1, c_n, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4552,plain,
% 77.86/50.13 (~node10(c_e_h_1, c_n, s2, s3)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4551, 4530, 4542, 4541])).
% 77.86/50.13 tff(4553,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_1, c_n, s2, s3) | node11(c_e_h_1, c_n, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_1, c_n, s2, s3) | node11(c_e_h_1, c_n, s2, s3))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4554,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_1, c_n, s2, s3) | node11(c_e_h_1, c_n, s2, s3))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4555,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_1, c_n, s2, s3) | node11(c_e_h_1, c_n, s2, s3)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 77.86/50.13 tff(4556,plain,
% 77.86/50.13 (node10(c_e_h_1, c_n, s2, s3) | node11(c_e_h_1, c_n, s2, s3)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4555, 193, 463])).
% 77.86/50.13 tff(4557,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4556, 4552, 4540])).
% 77.86/50.13 tff(4558,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4559,plain,
% 77.86/50.13 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s2))),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4558, 4528, 4361])).
% 77.86/50.13 tff(4560,plain,
% 77.86/50.13 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4559, 4524])).
% 77.86/50.13 tff(4561,plain,
% 77.86/50.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4562,plain,
% 77.86/50.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4563,plain,
% 77.86/50.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3))),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4562, 4561])).
% 77.86/50.13 tff(4564,plain,
% 77.86/50.13 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4563, 3886, 4560])).
% 77.86/50.13 tff(4565,plain,
% 77.86/50.13 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4566,plain,
% 77.86/50.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4567,plain,
% 77.86/50.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s3)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 77.86/50.13 tff(4568,plain,
% 77.86/50.13 (~node9(c_e_h_1, c_m, s3)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4567, 238, 4564])).
% 77.86/50.13 tff(4569,assumption,(~node9(c_e_h_1, c_m, s3)), introduced(assumption)).
% 77.86/50.13 tff(4570,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)), introduced(assumption)).
% 77.86/50.13 tff(4571,assumption,(node10(c_e_h_1, c_m, s3, s4)), introduced(assumption)).
% 77.86/50.13 tff(4572,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4573,plain,
% 77.86/50.13 ((node9(c_e_h_1, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4574,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3)))),
% 77.86/50.13 inference(monotonicity,[status(thm)],[4573])).
% 77.86/50.13 tff(4575,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(transitivity,[status(thm)],[4574, 4572])).
% 77.86/50.13 tff(4576,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4577,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node10(c_e_h_1, c_m, s3, s4)) | node9(c_e_h_1, c_m, s3)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 77.86/50.13 tff(4578,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4577, 252, 4570, 4571, 4569])).
% 77.86/50.13 tff(4579,plain,((~node10(c_e_h_1, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | node9(c_e_h_1, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4580,plain,
% 77.86/50.13 (~node10(c_e_h_1, c_m, s3, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4579, 4570, 4569])).
% 77.86/50.13 tff(4581,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_1, c_m, s3, s4) | node11(c_e_h_1, c_m, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_1, c_m, s3, s4) | node11(c_e_h_1, c_m, s3, s4))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4582,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_1, c_m, s3, s4) | node11(c_e_h_1, c_m, s3, s4))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4583,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_1, c_m, s3, s4) | node11(c_e_h_1, c_m, s3, s4)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 77.86/50.13 tff(4584,plain,
% 77.86/50.13 (node10(c_e_h_1, c_m, s3, s4) | node11(c_e_h_1, c_m, s3, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4583, 193, 711])).
% 77.86/50.13 tff(4585,plain,
% 77.86/50.13 (node11(c_e_h_1, c_m, s3, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4584, 4580])).
% 77.86/50.13 tff(4586,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node11(c_e_h_1, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node11(c_e_h_1, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4587,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node11(c_e_h_1, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4588,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | (~node11(c_e_h_1, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 77.86/50.13 tff(4589,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4588, 282, 4392, 4570, 4585])).
% 77.86/50.13 tff(4590,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)) | node9(c_e_h_1, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4591,plain,
% 77.86/50.13 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4590, 4568])).
% 77.86/50.13 tff(4592,plain,
% 77.86/50.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4593,plain,
% 77.86/50.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4594,plain,
% 77.86/50.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 77.86/50.13 tff(4595,plain,
% 77.86/50.13 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4594, 3838, 4591])).
% 77.86/50.13 tff(4596,plain,
% 77.86/50.13 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s4))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4597,plain,
% 77.86/50.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s4))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4598,plain,
% 77.86/50.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s4)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 77.86/50.13 tff(4599,plain,
% 77.86/50.13 (~node20(c_e_h_1, c_l, s4)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4598, 334, 4595])).
% 77.86/50.13 tff(4600,assumption,(~node20(c_e_h_1, c_l, s4)), introduced(assumption)).
% 77.86/50.13 tff(4601,assumption,(node21(c_e_h_1, c_l, s4, s5)), introduced(assumption)).
% 77.86/50.13 tff(4602,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4603,plain,
% 77.86/50.13 ((node20(c_e_h_1, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node21(c_e_h_1, c_l, s4, s5))) <=> (node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4604,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node21(c_e_h_1, c_l, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5))))),
% 77.86/50.13 inference(monotonicity,[status(thm)],[4603])).
% 77.86/50.13 tff(4605,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node21(c_e_h_1, c_l, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)))),
% 77.86/50.13 inference(transitivity,[status(thm)],[4604, 4602])).
% 77.86/50.13 tff(4606,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node21(c_e_h_1, c_l, s4, s5)))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4607,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s4) | (~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 77.86/50.13 tff(4608,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4607, 348, 4601, 4600, 4459])).
% 77.86/50.13 tff(4609,plain,((~node21(c_e_h_1, c_l, s4, s5)) | node20(c_e_h_1, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4610,plain,
% 77.86/50.13 ((~node21(c_e_h_1, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4609, 4599])).
% 77.86/50.13 tff(4611,plain,
% 77.86/50.13 (~node21(c_e_h_1, c_l, s4, s5)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4610, 4459])).
% 77.86/50.13 tff(4612,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_l, s4, s5) | node22(c_e_h_1, c_l, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_l, s4, s5) | node22(c_e_h_1, c_l, s4, s5))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4613,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_l, s4, s5) | node22(c_e_h_1, c_l, s4, s5))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4614,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_l, s4, s5) | node22(c_e_h_1, c_l, s4, s5)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 77.86/50.13 tff(4615,plain,
% 77.86/50.13 (node21(c_e_h_1, c_l, s4, s5) | node22(c_e_h_1, c_l, s4, s5)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4614, 383, 930])).
% 77.86/50.13 tff(4616,plain,
% 77.86/50.13 (node22(c_e_h_1, c_l, s4, s5)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4615, 4611])).
% 77.86/50.13 tff(4617,plain,
% 77.86/50.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node22(c_e_h_1, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node22(c_e_h_1, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))),
% 77.86/50.13 inference(rewrite,[status(thm)],[])).
% 77.86/50.13 tff(4618,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node22(c_e_h_1, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4))),
% 77.86/50.13 inference(quant_inst,[status(thm)],[])).
% 77.86/50.13 tff(4619,plain,
% 77.86/50.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | (~node22(c_e_h_1, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4)),
% 77.86/50.13 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 77.86/50.13 tff(4620,plain,
% 77.86/50.13 ($false),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4619, 437, 4616, 4459, 4420])).
% 77.86/50.13 tff(4621,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.13 tff(4622,plain,
% 77.86/50.13 (~m_and_h_gate_v_out(c_e_h_1, c_l, s5)),
% 77.86/50.13 inference(unit_resolution,[status(thm)],[4621, 4418])).
% 77.86/50.13 tff(4623,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s5)), introduced(assumption)).
% 77.86/50.13 tff(4624,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s5)), introduced(assumption)).
% 77.86/50.13 tff(4625,plain,
% 77.86/50.13 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4626,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4627,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 77.86/50.14 tff(4628,plain,
% 77.86/50.14 ($false),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4627, 1835, 4624, 4623])).
% 77.86/50.14 tff(4629,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.14 tff(4630,plain,
% 77.86/50.14 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4629, 4622])).
% 77.86/50.14 tff(4631,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s5)), introduced(assumption)).
% 77.86/50.14 tff(4632,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s5)), introduced(assumption)).
% 77.86/50.14 tff(4633,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s5)), introduced(assumption)).
% 77.86/50.14 tff(4634,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s6)), introduced(assumption)).
% 77.86/50.14 tff(4635,assumption,(node6(c_e_h_1, c_j, s5, s6)), introduced(assumption)).
% 77.86/50.14 tff(4636,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4637,plain,
% 77.86/50.14 (((~node6(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4638,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6))))),
% 77.86/50.14 inference(monotonicity,[status(thm)],[4637])).
% 77.86/50.14 tff(4639,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6)))),
% 77.86/50.14 inference(transitivity,[status(thm)],[4638, 4636])).
% 77.86/50.14 tff(4640,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4641,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node6(c_e_h_1, c_j, s5, s6))),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 77.86/50.14 tff(4642,plain,
% 77.86/50.14 ($false),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4641, 1851, 4634, 4635, 4633])).
% 77.86/50.14 tff(4643,plain,((~node6(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.14 tff(4644,plain,
% 77.86/50.14 (~node6(c_e_h_1, c_j, s5, s6)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4643, 4634, 4633])).
% 77.86/50.14 tff(4645,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4646,plain,
% 77.86/50.14 ((node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4647,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6)))),
% 77.86/50.14 inference(monotonicity,[status(thm)],[4646])).
% 77.86/50.14 tff(4648,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6))),
% 77.86/50.14 inference(transitivity,[status(thm)],[4647, 4645])).
% 77.86/50.14 tff(4649,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6) | (~trans(s5, s6)))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4650,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4649, 4648])).
% 77.86/50.14 tff(4651,plain,
% 77.86/50.14 (node6(c_e_h_1, c_j, s5, s6) | node5(c_e_h_1, c_j, s5, s6)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4650, 1870, 1343])).
% 77.86/50.14 tff(4652,plain,
% 77.86/50.14 (node5(c_e_h_1, c_j, s5, s6)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4651, 4644])).
% 77.86/50.14 tff(4653,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4654,plain,
% 77.86/50.14 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s5) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~node5(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4655,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s5) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~node5(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5)))),
% 77.86/50.14 inference(monotonicity,[status(thm)],[4654])).
% 77.86/50.14 tff(4656,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s5) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~node5(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5))),
% 77.86/50.14 inference(transitivity,[status(thm)],[4655, 4653])).
% 77.86/50.14 tff(4657,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s5) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~node5(c_e_h_1, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4658,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | (~node5(c_e_h_1, c_j, s5, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 77.86/50.14 tff(4659,plain,
% 77.86/50.14 ($false),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4658, 1888, 4634, 4652, 4632, 4631])).
% 77.86/50.14 tff(4660,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | m_or_h_gate_v_in1(c_e_h_1, c_j, s5) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.14 tff(4661,plain,
% 77.86/50.14 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s5) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4660, 4630])).
% 77.86/50.14 tff(4662,plain,
% 77.86/50.14 (~m_or_h_gate_v_out(c_e_h_1, c_j, s6)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4661, 4458, 3788])).
% 77.86/50.14 tff(4663,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s2)), introduced(assumption)).
% 77.86/50.14 tff(4664,assumption,(node21(c_e_h_1, c_i, s1, s2)), introduced(assumption)).
% 77.86/50.14 tff(4665,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s1)), introduced(assumption)).
% 77.86/50.14 tff(4666,assumption,(node14(c_e_h_1, c_h, s0, s1)), introduced(assumption)).
% 77.86/50.14 tff(4667,plain,
% 77.86/50.14 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X)))),
% 77.86/50.14 inference(bind,[status(th)],[])).
% 77.86/50.14 tff(4668,plain,
% 77.86/50.14 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.86/50.14 inference(quant_intro,[status(thm)],[4667])).
% 77.86/50.14 tff(4669,plain,
% 77.86/50.14 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4670,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_32')).
% 77.86/50.14 tff(4671,plain,
% 77.86/50.14 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 77.86/50.14 tff(4672,plain,(
% 77.86/50.14 ![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.86/50.14 inference(skolemize,[status(sab)],[4671])).
% 77.86/50.14 tff(4673,plain,
% 77.86/50.14 (![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4672, 4668])).
% 77.86/50.14 tff(4674,plain,
% 77.86/50.14 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4675,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4676,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_g, s0)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 77.86/50.14 tff(4677,plain,
% 77.86/50.14 (~m_c_h_element_v_in1(c_e_h_1, c_h, s0)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4676, 4673, 2474])).
% 77.86/50.14 tff(4678,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4679,plain,
% 77.86/50.14 (((~node14(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4680,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1))))),
% 77.86/50.14 inference(monotonicity,[status(thm)],[4679])).
% 77.86/50.14 tff(4681,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(transitivity,[status(thm)],[4680, 4678])).
% 77.86/50.14 tff(4682,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4683,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node14(c_e_h_1, c_h, s0, s1))),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4682, 4681])).
% 77.86/50.14 tff(4684,plain,
% 77.86/50.14 ($false),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4683, 575, 4677, 4665, 4666])).
% 77.86/50.14 tff(4685,plain,((~node14(c_e_h_1, c_h, s0, s1)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.14 tff(4686,plain,
% 77.86/50.14 (~node14(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4685, 4665])).
% 77.86/50.14 tff(4687,plain,
% 77.86/50.14 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4688,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4689,plain,
% 77.86/50.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s0)) | m_or_h_gate_v_out(c_e_h_1, c_j, s0)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 77.86/50.14 tff(4690,plain,
% 77.86/50.14 (~m_c_h_element_v_in2(c_e_h_1, c_h, s0)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4689, 1740, 4137])).
% 77.86/50.14 tff(4691,plain,
% 77.86/50.14 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s0)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | m_c_h_element_v_in2(c_e_h_1, c_h, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s0)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | m_c_h_element_v_in2(c_e_h_1, c_h, s0))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4692,plain,
% 77.86/50.14 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s0)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | m_c_h_element_v_in2(c_e_h_1, c_h, s0))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4693,plain,
% 77.86/50.14 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s0)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0) | m_c_h_element_v_in2(c_e_h_1, c_h, s0)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 77.86/50.14 tff(4694,plain,
% 77.86/50.14 ((~node16(c_e_h_1, c_h, s0)) | m_c_h_element_v_in1(c_e_h_1, c_h, s0)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4693, 559, 4690])).
% 77.86/50.14 tff(4695,plain,
% 77.86/50.14 (~node16(c_e_h_1, c_h, s0)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4694, 4677])).
% 77.86/50.14 tff(4696,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_h, s0, s1))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4697,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_h, s0, s1))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4698,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 77.86/50.14 tff(4699,plain,
% 77.86/50.14 (node19(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4698, 494, 183])).
% 77.86/50.14 tff(4700,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4701,plain,
% 77.86/50.14 ((node16(c_e_h_1, c_h, s0) | node14(c_e_h_1, c_h, s0, s1) | node15(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1))) <=> (node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4702,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s0) | node14(c_e_h_1, c_h, s0, s1) | node15(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1))))),
% 77.86/50.14 inference(monotonicity,[status(thm)],[4701])).
% 77.86/50.14 tff(4703,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s0) | node14(c_e_h_1, c_h, s0, s1) | node15(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(transitivity,[status(thm)],[4702, 4700])).
% 77.86/50.14 tff(4704,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s0) | node14(c_e_h_1, c_h, s0, s1) | node15(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1)))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4705,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1) | (~node19(c_e_h_1, c_h, s0, s1))),
% 77.86/50.14 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 77.86/50.14 tff(4706,plain,
% 77.86/50.14 (node16(c_e_h_1, c_h, s0) | node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4705, 594, 4699])).
% 77.86/50.14 tff(4707,plain,
% 77.86/50.14 (node15(c_e_h_1, c_h, s0, s1) | node14(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4706, 4695])).
% 77.86/50.14 tff(4708,plain,
% 77.86/50.14 (node15(c_e_h_1, c_h, s0, s1)),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4707, 4686])).
% 77.86/50.14 tff(4709,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s0)), introduced(assumption)).
% 77.86/50.14 tff(4710,plain,
% 77.86/50.14 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s0))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4711,plain,
% 77.86/50.14 ($false),
% 77.86/50.14 inference(unit_resolution,[status(thm)],[4710, 135, 4709])).
% 77.86/50.14 tff(4712,plain,(~m_c_h_element_v_out(c_e_h_1, c_h, s0)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.14 tff(4713,plain,
% 77.86/50.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node15(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node15(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))),
% 77.86/50.14 inference(rewrite,[status(thm)],[])).
% 77.86/50.14 tff(4714,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node15(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))),
% 77.86/50.14 inference(quant_inst,[status(thm)],[])).
% 77.86/50.14 tff(4715,plain,
% 77.86/50.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s1)) | (~node15(c_e_h_1, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s0)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 77.86/50.15 tff(4716,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4715, 612, 4712, 4665, 4708])).
% 77.86/50.15 tff(4717,plain,(~m_c_h_element_v_out(c_e_h_1, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4718,plain,
% 77.86/50.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4719,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4720,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s1)) | m_c_h_element_v_out(c_e_h_1, c_h, s1)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 77.86/50.15 tff(4721,plain,
% 77.86/50.15 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s1)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4720, 8, 4717])).
% 77.86/50.15 tff(4722,plain,
% 77.86/50.15 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s1))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4723,plain,
% 77.86/50.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s1))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4724,plain,
% 77.86/50.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s1)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 77.86/50.15 tff(4725,plain,
% 77.86/50.15 (~node20(c_e_h_1, c_i, s1)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4724, 22, 4721])).
% 77.86/50.15 tff(4726,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node21(c_e_h_1, c_i, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node21(c_e_h_1, c_i, s1, s2)))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4727,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node21(c_e_h_1, c_i, s1, s2)))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4728,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node21(c_e_h_1, c_i, s1, s2))),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 77.86/50.15 tff(4729,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4728, 348, 4663, 4725, 4664])).
% 77.86/50.15 tff(4730,plain,((~node21(c_e_h_1, c_i, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4731,plain,
% 77.86/50.15 (~node21(c_e_h_1, c_i, s1, s2)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4730, 4663])).
% 77.86/50.15 tff(4732,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s0)), introduced(assumption)).
% 77.86/50.15 tff(4733,plain,
% 77.86/50.15 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s0))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4734,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4733, 424, 4732])).
% 77.86/50.15 tff(4735,plain,(~m_and_h_gate_v_out(c_e_h_1, c_i, s0)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4736,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s1)), introduced(assumption)).
% 77.86/50.15 tff(4737,plain,
% 77.86/50.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s0)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s0)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4738,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s0)) | m_c_h_element_v_out(c_e_h_1, c_h, s0))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4739,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s0)) | m_c_h_element_v_out(c_e_h_1, c_h, s0)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 77.86/50.15 tff(4740,plain,
% 77.86/50.15 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s0)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4739, 8, 4712])).
% 77.86/50.15 tff(4741,plain,
% 77.86/50.15 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s0))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4742,plain,
% 77.86/50.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s0))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4743,plain,
% 77.86/50.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s0)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 77.86/50.15 tff(4744,plain,
% 77.86/50.15 (~node20(c_e_h_1, c_i, s0)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4743, 22, 4740])).
% 77.86/50.15 tff(4745,assumption,(node21(c_e_h_1, c_i, s0, s1)), introduced(assumption)).
% 77.86/50.15 tff(4746,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node21(c_e_h_1, c_i, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node21(c_e_h_1, c_i, s0, s1)))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4747,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node21(c_e_h_1, c_i, s0, s1)))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4748,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node21(c_e_h_1, c_i, s0, s1))),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 77.86/50.15 tff(4749,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4748, 348, 4745, 4744, 4736])).
% 77.86/50.15 tff(4750,plain,((~node21(c_e_h_1, c_i, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4751,plain,
% 77.86/50.15 (~node21(c_e_h_1, c_i, s0, s1)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4750, 4736])).
% 77.86/50.15 tff(4752,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_i, s0, s1) | node22(c_e_h_1, c_i, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_i, s0, s1) | node22(c_e_h_1, c_i, s0, s1))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4753,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_i, s0, s1) | node22(c_e_h_1, c_i, s0, s1))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4754,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_i, s0, s1) | node22(c_e_h_1, c_i, s0, s1)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 77.86/50.15 tff(4755,plain,
% 77.86/50.15 (node21(c_e_h_1, c_i, s0, s1) | node22(c_e_h_1, c_i, s0, s1)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4754, 383, 183])).
% 77.86/50.15 tff(4756,plain,
% 77.86/50.15 (node22(c_e_h_1, c_i, s0, s1)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4755, 4751])).
% 77.86/50.15 tff(4757,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node22(c_e_h_1, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_i, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node22(c_e_h_1, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_i, s0))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4758,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node22(c_e_h_1, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_i, s0))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4759,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s1)) | (~node22(c_e_h_1, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_i, s0)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 77.86/50.15 tff(4760,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4759, 437, 4756, 4736, 4735])).
% 77.86/50.15 tff(4761,plain,(~m_and_h_gate_v_out(c_e_h_1, c_i, s1)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4762,assumption,(node22(c_e_h_1, c_i, s1, s2)), introduced(assumption)).
% 77.86/50.15 tff(4763,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s1)), introduced(assumption)).
% 77.86/50.15 tff(4764,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node22(c_e_h_1, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node22(c_e_h_1, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s1))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4765,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node22(c_e_h_1, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s1))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4766,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | (~node22(c_e_h_1, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s1)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 77.86/50.15 tff(4767,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4766, 437, 4663, 4763, 4762])).
% 77.86/50.15 tff(4768,plain,((~node22(c_e_h_1, c_i, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s1)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4769,plain,
% 77.86/50.15 ((~node22(c_e_h_1, c_i, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4768, 4761])).
% 77.86/50.15 tff(4770,plain,
% 77.86/50.15 (~node22(c_e_h_1, c_i, s1, s2)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4769, 4663])).
% 77.86/50.15 tff(4771,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_i, s1, s2) | node22(c_e_h_1, c_i, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_i, s1, s2) | node22(c_e_h_1, c_i, s1, s2))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4772,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_i, s1, s2) | node22(c_e_h_1, c_i, s1, s2))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4773,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_i, s1, s2) | node22(c_e_h_1, c_i, s1, s2)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4772, 4771])).
% 77.86/50.15 tff(4774,plain,
% 77.86/50.15 (node21(c_e_h_1, c_i, s1, s2) | node22(c_e_h_1, c_i, s1, s2)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4773, 383, 265])).
% 77.86/50.15 tff(4775,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4774, 4770, 4731])).
% 77.86/50.15 tff(4776,plain,(~m_and_h_gate_v_out(c_e_h_1, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4777,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s2)), introduced(assumption)).
% 77.86/50.15 tff(4778,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.15 tff(4779,plain,
% 77.86/50.15 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X)))),
% 77.86/50.15 inference(bind,[status(th)],[])).
% 77.86/50.15 tff(4780,plain,
% 77.86/50.15 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.86/50.15 inference(quant_intro,[status(thm)],[4779])).
% 77.86/50.15 tff(4781,plain,
% 77.86/50.15 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4782,axiom,(![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_22')).
% 77.86/50.15 tff(4783,plain,
% 77.86/50.15 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 77.86/50.15 tff(4784,plain,(
% 77.86/50.15 ![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.86/50.15 inference(skolemize,[status(sab)],[4783])).
% 77.86/50.15 tff(4785,plain,
% 77.86/50.15 (![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4784, 4780])).
% 77.86/50.15 tff(4786,plain,
% 77.86/50.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4787,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4788,plain,
% 77.86/50.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4787, 4786])).
% 77.86/50.15 tff(4789,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4788, 4785, 4778, 4777])).
% 77.86/50.15 tff(4790,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4791,plain,
% 77.86/50.15 (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4790, 4776])).
% 77.86/50.15 tff(4792,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s3)), introduced(assumption)).
% 77.86/50.15 tff(4793,assumption,(node18(c_e_h_1, c_e, s2, s3)), introduced(assumption)).
% 77.86/50.15 tff(4794,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.15 tff(4795,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2) | (~node18(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2) | (~node18(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4796,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2) | (~node18(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4797,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2) | (~node18(c_e_h_1, c_e, s2, s3))),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4796, 4795])).
% 77.86/50.15 tff(4798,plain,
% 77.86/50.15 ($false),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4797, 481, 4792, 4794, 4793])).
% 77.86/50.15 tff(4799,plain,((~node18(c_e_h_1, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.15 tff(4800,plain,
% 77.86/50.15 ((~node18(c_e_h_1, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4799, 4519])).
% 77.86/50.15 tff(4801,plain,
% 77.86/50.15 (~node18(c_e_h_1, c_e, s2, s3)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4800, 4792])).
% 77.86/50.15 tff(4802,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_e, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_e, s2, s3))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4803,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_e, s2, s3))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4804,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_e, s2, s3)),
% 77.86/50.15 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 77.86/50.15 tff(4805,plain,
% 77.86/50.15 (node19(c_e_h_1, c_e, s2, s3)),
% 77.86/50.15 inference(unit_resolution,[status(thm)],[4804, 494, 463])).
% 77.86/50.15 tff(4806,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4807,plain,
% 77.86/50.15 ((node17(c_e_h_1, c_e, s2) | node18(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3))) <=> (node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(rewrite,[status(thm)],[])).
% 77.86/50.15 tff(4808,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s2) | node18(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3))))),
% 77.86/50.15 inference(monotonicity,[status(thm)],[4807])).
% 77.86/50.15 tff(4809,plain,
% 77.86/50.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s2) | node18(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(transitivity,[status(thm)],[4808, 4806])).
% 77.86/50.15 tff(4810,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s2) | node18(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.15 inference(quant_inst,[status(thm)],[])).
% 77.86/50.15 tff(4811,plain,
% 77.86/50.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2) | (~node19(c_e_h_1, c_e, s2, s3))),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 77.86/50.16 tff(4812,plain,
% 77.86/50.16 (node18(c_e_h_1, c_e, s2, s3) | node17(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4811, 508, 4805])).
% 77.86/50.16 tff(4813,plain,
% 77.86/50.16 (node17(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4812, 4801])).
% 77.86/50.16 tff(4814,assumption,(node15(c_e_h_1, c_e, s2, s3)), introduced(assumption)).
% 77.86/50.16 tff(4815,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node15(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node15(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4816,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node15(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4817,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node15(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 77.86/50.16 tff(4818,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4817, 612, 4792, 4794, 4814])).
% 77.86/50.16 tff(4819,plain,((~node15(c_e_h_1, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_out(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4820,plain,
% 77.86/50.16 ((~node15(c_e_h_1, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4819, 4519])).
% 77.86/50.16 tff(4821,plain,
% 77.86/50.16 (~node15(c_e_h_1, c_e, s2, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4820, 4792])).
% 77.86/50.16 tff(4822,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.16 tff(4823,assumption,(node14(c_e_h_1, c_e, s2, s3)), introduced(assumption)).
% 77.86/50.16 tff(4824,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4825,plain,
% 77.86/50.16 (((~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4826,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(monotonicity,[status(thm)],[4825])).
% 77.86/50.16 tff(4827,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(transitivity,[status(thm)],[4826, 4824])).
% 77.86/50.16 tff(4828,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4829,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | (~node14(c_e_h_1, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 77.86/50.16 tff(4830,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4829, 575, 4792, 4823, 4822])).
% 77.86/50.16 tff(4831,plain,((~node14(c_e_h_1, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4832,plain,
% 77.86/50.16 (~node14(c_e_h_1, c_e, s2, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4831, 4792, 4822])).
% 77.86/50.16 tff(4833,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4834,plain,
% 77.86/50.16 ((node16(c_e_h_1, c_e, s2) | node14(c_e_h_1, c_e, s2, s3) | node15(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3))) <=> (node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4835,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s2) | node14(c_e_h_1, c_e, s2, s3) | node15(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3))))),
% 77.86/50.16 inference(monotonicity,[status(thm)],[4834])).
% 77.86/50.16 tff(4836,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s2) | node14(c_e_h_1, c_e, s2, s3) | node15(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.16 inference(transitivity,[status(thm)],[4835, 4833])).
% 77.86/50.16 tff(4837,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s2) | node14(c_e_h_1, c_e, s2, s3) | node15(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3)))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4838,plain,
% 77.86/50.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3) | (~node19(c_e_h_1, c_e, s2, s3))),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 77.86/50.16 tff(4839,plain,
% 77.86/50.16 (node16(c_e_h_1, c_e, s2) | node15(c_e_h_1, c_e, s2, s3) | node14(c_e_h_1, c_e, s2, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4838, 594, 4805])).
% 77.86/50.16 tff(4840,plain,
% 77.86/50.16 (node16(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4839, 4832, 4821])).
% 77.86/50.16 tff(4841,assumption,(node17(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.16 tff(4842,assumption,(node16(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.16 tff(4843,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s2)), introduced(assumption)).
% 77.86/50.16 tff(4844,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4845,plain,
% 77.86/50.16 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4846,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(monotonicity,[status(thm)],[4845])).
% 77.86/50.16 tff(4847,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(transitivity,[status(thm)],[4846, 4844])).
% 77.86/50.16 tff(4848,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4849,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 77.86/50.16 tff(4850,plain,
% 77.86/50.16 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4849, 541, 4841])).
% 77.86/50.16 tff(4851,plain,
% 77.86/50.16 (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4850, 4843])).
% 77.86/50.16 tff(4852,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4853,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4854,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s2)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 77.86/50.16 tff(4855,plain,
% 77.86/50.16 (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4854, 559, 4842])).
% 77.86/50.16 tff(4856,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4855, 4851, 4843])).
% 77.86/50.16 tff(4857,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s2) | (~node16(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4858,plain,
% 77.86/50.16 (m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4857, 4842, 4841])).
% 77.86/50.16 tff(4859,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4860,plain,
% 77.86/50.16 ((m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4861,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))))),
% 77.86/50.16 inference(monotonicity,[status(thm)],[4860])).
% 77.86/50.16 tff(4862,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(transitivity,[status(thm)],[4861, 4859])).
% 77.86/50.16 tff(4863,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4864,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~node17(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 77.86/50.16 tff(4865,plain,
% 77.86/50.16 (m_c_h_element_v_in1(c_e_h_1, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4864, 1172, 4841])).
% 77.86/50.16 tff(4866,plain,
% 77.86/50.16 (m_c_h_element_v_in1(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4865, 4858])).
% 77.86/50.16 tff(4867,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4868,plain,
% 77.86/50.16 (((~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4869,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))))),
% 77.86/50.16 inference(monotonicity,[status(thm)],[4868])).
% 77.86/50.16 tff(4870,plain,
% 77.86/50.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(transitivity,[status(thm)],[4869, 4867])).
% 77.86/50.16 tff(4871,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2)))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4872,plain,
% 77.86/50.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node16(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 77.86/50.16 tff(4873,plain,
% 77.86/50.16 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4872, 1192, 4842])).
% 77.86/50.16 tff(4874,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4873, 4866, 4858])).
% 77.86/50.16 tff(4875,plain,((~node16(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4876,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4875, 4840, 4813])).
% 77.86/50.16 tff(4877,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4878,plain,
% 77.86/50.16 (m_c_h_element_v_in1(c_e_h_1, c_e, s2)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4877, 4792])).
% 77.86/50.16 tff(4879,plain,
% 77.86/50.16 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s2)) | (~node17(c_e_h_1, c_e, s2))),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4849, 541, 4843])).
% 77.86/50.16 tff(4880,plain,
% 77.86/50.16 ($false),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4879, 4813, 4878])).
% 77.86/50.16 tff(4881,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s3)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.16 tff(4882,plain,
% 77.86/50.16 (~m_c_h_element_v_out(c_e_h_1, c_e, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4881, 4791])).
% 77.86/50.16 tff(4883,plain,
% 77.86/50.16 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3) | m_c_h_element_v_out(c_e_h_1, c_e, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3) | m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4884,plain,
% 77.86/50.16 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3) | m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4885,plain,
% 77.86/50.16 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3) | m_c_h_element_v_out(c_e_h_1, c_e, s3)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 77.86/50.16 tff(4886,plain,
% 77.86/50.16 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3) | m_c_h_element_v_out(c_e_h_1, c_e, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4885, 3964])).
% 77.86/50.16 tff(4887,plain,
% 77.86/50.16 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4886, 4882])).
% 77.86/50.16 tff(4888,plain,
% 77.86/50.16 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4889,plain,
% 77.86/50.16 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 77.86/50.16 inference(quant_inst,[status(thm)],[])).
% 77.86/50.16 tff(4890,plain,
% 77.86/50.16 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)),
% 77.86/50.16 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 77.86/50.16 tff(4891,plain,
% 77.86/50.16 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4890, 3976])).
% 77.86/50.16 tff(4892,plain,
% 77.86/50.16 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)),
% 77.86/50.16 inference(unit_resolution,[status(thm)],[4891, 4392])).
% 77.86/50.16 tff(4893,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)), introduced(assumption)).
% 77.86/50.16 tff(4894,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)), introduced(assumption)).
% 77.86/50.16 tff(4895,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)), introduced(assumption)).
% 77.86/50.16 tff(4896,assumption,(node10(c_e_h_1, c_n, s3, s4)), introduced(assumption)).
% 77.86/50.16 tff(4897,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4898,plain,
% 77.86/50.16 (((~node10(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4)))),
% 77.86/50.16 inference(rewrite,[status(thm)],[])).
% 77.86/50.16 tff(4899,plain,
% 77.86/50.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4))))),
% 77.86/50.17 inference(monotonicity,[status(thm)],[4898])).
% 77.86/50.17 tff(4900,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4)))),
% 77.86/50.17 inference(transitivity,[status(thm)],[4899, 4897])).
% 77.86/50.17 tff(4901,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4902,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~node10(c_e_h_1, c_n, s3, s4))),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 77.86/50.17 tff(4903,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4902, 160, 4893, 4894, 4895, 4896])).
% 77.86/50.17 tff(4904,plain,((~node10(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4905,plain,
% 77.86/50.17 (~node10(c_e_h_1, c_n, s3, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4904, 4895, 4894, 4893])).
% 77.86/50.17 tff(4906,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_1, c_n, s3, s4) | node11(c_e_h_1, c_n, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_1, c_n, s3, s4) | node11(c_e_h_1, c_n, s3, s4))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4907,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_1, c_n, s3, s4) | node11(c_e_h_1, c_n, s3, s4))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4908,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_1, c_n, s3, s4) | node11(c_e_h_1, c_n, s3, s4)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 77.86/50.17 tff(4909,plain,
% 77.86/50.17 (node10(c_e_h_1, c_n, s3, s4) | node11(c_e_h_1, c_n, s3, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4908, 193, 711])).
% 77.86/50.17 tff(4910,plain,
% 77.86/50.17 (node11(c_e_h_1, c_n, s3, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4909, 4905])).
% 77.86/50.17 tff(4911,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)), introduced(assumption)).
% 77.86/50.17 tff(4912,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~node11(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~node11(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4913,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~node11(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4914,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~node11(c_e_h_1, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3))),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 77.86/50.17 tff(4915,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4914, 208, 4895, 4911, 4910])).
% 77.86/50.17 tff(4916,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4917,plain,
% 77.86/50.17 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3))),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4916, 4892])).
% 77.86/50.17 tff(4918,plain,
% 77.86/50.17 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3))),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4917, 4560])).
% 77.86/50.17 tff(4919,plain,
% 77.86/50.17 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4918, 4887])).
% 77.86/50.17 tff(4920,plain,
% 77.86/50.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4921,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4922,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 77.86/50.17 tff(4923,plain,
% 77.86/50.17 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4922, 3886, 4919])).
% 77.86/50.17 tff(4924,plain,
% 77.86/50.17 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4925,plain,
% 77.86/50.17 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4926,plain,
% 77.86/50.17 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 77.86/50.17 tff(4927,plain,
% 77.86/50.17 (~node9(c_e_h_1, c_m, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4926, 238, 4923])).
% 77.86/50.17 tff(4928,assumption,(~node9(c_e_h_1, c_m, s4)), introduced(assumption)).
% 77.86/50.17 tff(4929,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)), introduced(assumption)).
% 77.86/50.17 tff(4930,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)), introduced(assumption)).
% 77.86/50.17 tff(4931,assumption,(node11(c_e_h_1, c_m, s4, s5)), introduced(assumption)).
% 77.86/50.17 tff(4932,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node11(c_e_h_1, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node11(c_e_h_1, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4933,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node11(c_e_h_1, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4934,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node11(c_e_h_1, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4933, 4932])).
% 77.86/50.17 tff(4935,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4934, 282, 4930, 4929, 4931])).
% 77.86/50.17 tff(4936,plain,((~node11(c_e_h_1, c_m, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4937,plain,
% 77.86/50.17 (~node11(c_e_h_1, c_m, s4, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4936, 4930, 4929])).
% 77.86/50.17 tff(4938,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_1, c_m, s4, s5) | node11(c_e_h_1, c_m, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_1, c_m, s4, s5) | node11(c_e_h_1, c_m, s4, s5))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4939,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_1, c_m, s4, s5) | node11(c_e_h_1, c_m, s4, s5))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4940,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_1, c_m, s4, s5) | node11(c_e_h_1, c_m, s4, s5)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 77.86/50.17 tff(4941,plain,
% 77.86/50.17 (node10(c_e_h_1, c_m, s4, s5) | node11(c_e_h_1, c_m, s4, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4940, 193, 930])).
% 77.86/50.17 tff(4942,plain,
% 77.86/50.17 (node10(c_e_h_1, c_m, s4, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4941, 4937])).
% 77.86/50.17 tff(4943,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5)))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4944,plain,
% 77.86/50.17 ((node9(c_e_h_1, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node10(c_e_h_1, c_m, s4, s5))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5)))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4945,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node10(c_e_h_1, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5))))),
% 77.86/50.17 inference(monotonicity,[status(thm)],[4944])).
% 77.86/50.17 tff(4946,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node10(c_e_h_1, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5)))),
% 77.86/50.17 inference(transitivity,[status(thm)],[4945, 4943])).
% 77.86/50.17 tff(4947,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | (~node10(c_e_h_1, c_m, s4, s5)))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4948,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | (~node10(c_e_h_1, c_m, s4, s5))),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 77.86/50.17 tff(4949,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4948, 252, 4930, 4942, 4928])).
% 77.86/50.17 tff(4950,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4951,plain,
% 77.86/50.17 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)) | node9(c_e_h_1, c_m, s4)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4950, 4591])).
% 77.86/50.17 tff(4952,plain,
% 77.86/50.17 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4951, 4927])).
% 77.86/50.17 tff(4953,plain,
% 77.86/50.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4954,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4955,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 77.86/50.17 tff(4956,plain,
% 77.86/50.17 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4955, 3838, 4952])).
% 77.86/50.17 tff(4957,plain,
% 77.86/50.17 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s5))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4958,plain,
% 77.86/50.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s5))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4959,plain,
% 77.86/50.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s5)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 77.86/50.17 tff(4960,plain,
% 77.86/50.17 (~node20(c_e_h_1, c_l, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4959, 334, 4956])).
% 77.86/50.17 tff(4961,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s6)), introduced(assumption)).
% 77.86/50.17 tff(4962,assumption,(~node20(c_e_h_1, c_l, s5)), introduced(assumption)).
% 77.86/50.17 tff(4963,assumption,(node22(c_e_h_1, c_l, s5, s6)), introduced(assumption)).
% 77.86/50.17 tff(4964,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node22(c_e_h_1, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node22(c_e_h_1, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4965,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node22(c_e_h_1, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4966,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node22(c_e_h_1, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 77.86/50.17 tff(4967,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4966, 437, 4624, 4963, 4961])).
% 77.86/50.17 tff(4968,plain,((~node22(c_e_h_1, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4969,plain,
% 77.86/50.17 (~node22(c_e_h_1, c_l, s5, s6)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4968, 4961, 4624])).
% 77.86/50.17 tff(4970,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_l, s5, s6) | node22(c_e_h_1, c_l, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_l, s5, s6) | node22(c_e_h_1, c_l, s5, s6))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4971,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_l, s5, s6) | node22(c_e_h_1, c_l, s5, s6))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4972,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_l, s5, s6) | node22(c_e_h_1, c_l, s5, s6)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 77.86/50.17 tff(4973,plain,
% 77.86/50.17 (node21(c_e_h_1, c_l, s5, s6) | node22(c_e_h_1, c_l, s5, s6)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4972, 383, 1343])).
% 77.86/50.17 tff(4974,plain,
% 77.86/50.17 (node21(c_e_h_1, c_l, s5, s6)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4973, 4969])).
% 77.86/50.17 tff(4975,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node21(c_e_h_1, c_l, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node21(c_e_h_1, c_l, s5, s6)))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4976,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node21(c_e_h_1, c_l, s5, s6)))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4977,plain,
% 77.86/50.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | (~node21(c_e_h_1, c_l, s5, s6))),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 77.86/50.17 tff(4978,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4977, 348, 4974, 4962, 4961])).
% 77.86/50.17 tff(4979,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | node20(c_e_h_1, c_l, s5) | m_and_h_gate_v_out(c_e_h_1, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4980,plain,
% 77.86/50.17 ((~m_and_h_gate_v_out(c_e_h_1, c_l, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s5)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4979, 4960])).
% 77.86/50.17 tff(4981,plain,
% 77.86/50.17 (~m_and_h_gate_v_out(c_e_h_1, c_l, s6)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4980, 4622])).
% 77.86/50.17 tff(4982,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s6)), introduced(assumption)).
% 77.86/50.17 tff(4983,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s6)), introduced(assumption)).
% 77.86/50.17 tff(4984,plain,
% 77.86/50.17 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))),
% 77.86/50.17 inference(rewrite,[status(thm)],[])).
% 77.86/50.17 tff(4985,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))),
% 77.86/50.17 inference(quant_inst,[status(thm)],[])).
% 77.86/50.17 tff(4986,plain,
% 77.86/50.17 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6)),
% 77.86/50.17 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 77.86/50.17 tff(4987,plain,
% 77.86/50.17 ($false),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4986, 1835, 4983, 4982])).
% 77.86/50.17 tff(4988,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.17 tff(4989,plain,
% 77.86/50.17 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)),
% 77.86/50.17 inference(unit_resolution,[status(thm)],[4988, 4981])).
% 77.86/50.17 tff(4990,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s6)), introduced(assumption)).
% 77.86/50.17 tff(4991,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s7)), introduced(assumption)).
% 77.86/50.17 tff(4992,assumption,(node6(c_e_h_1, c_j, s6, s7)), introduced(assumption)).
% 77.86/50.17 tff(4993,plain,
% 77.86/50.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(4994,plain,
% 77.86/50.18 (((~node6(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(4995,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7))))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[4994])).
% 77.86/50.18 tff(4996,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(transitivity,[status(thm)],[4995, 4993])).
% 77.86/50.18 tff(4997,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(4998,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6) | (~node6(c_e_h_1, c_j, s6, s7))),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 77.86/50.18 tff(4999,plain,
% 77.86/50.18 ($false),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[4998, 1851, 4991, 4990, 4992])).
% 77.86/50.18 tff(5000,plain,((~node6(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.18 tff(5001,plain,
% 77.86/50.18 (~node6(c_e_h_1, c_j, s6, s7)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5000, 4991, 4990])).
% 77.86/50.18 tff(5002,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s6)), introduced(assumption)).
% 77.86/50.18 tff(5003,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s6)), introduced(assumption)).
% 77.86/50.18 tff(5004,assumption,(node5(c_e_h_1, c_j, s6, s7)), introduced(assumption)).
% 77.86/50.18 tff(5005,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5006,plain,
% 77.86/50.18 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5007,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7))))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5006])).
% 77.86/50.18 tff(5008,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5007, 5005])).
% 77.86/50.18 tff(5009,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5010,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | (~node5(c_e_h_1, c_j, s6, s7))),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 77.86/50.18 tff(5011,plain,
% 77.86/50.18 ($false),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5010, 1888, 4991, 5004, 5002, 5003])).
% 77.86/50.18 tff(5012,plain,((~node5(c_e_h_1, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.18 tff(5013,plain,
% 77.86/50.18 (~node5(c_e_h_1, c_j, s6, s7)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5012, 4991, 5003, 5002])).
% 77.86/50.18 tff(5014,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5015,plain,
% 77.86/50.18 ((node6(c_e_h_1, c_j, s6, s7) | node5(c_e_h_1, c_j, s6, s7) | (~trans(s6, s7))) <=> ((~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5016,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s6, s7) | node5(c_e_h_1, c_j, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7)))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5015])).
% 77.86/50.18 tff(5017,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s6, s7) | node5(c_e_h_1, c_j, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5016, 5014])).
% 77.86/50.18 tff(5018,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s6, s7) | node5(c_e_h_1, c_j, s6, s7) | (~trans(s6, s7)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5019,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7)),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 77.86/50.18 tff(5020,plain,
% 77.86/50.18 (node5(c_e_h_1, c_j, s6, s7) | node6(c_e_h_1, c_j, s6, s7)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5019, 1870, 1685])).
% 77.86/50.18 tff(5021,plain,
% 77.86/50.18 ($false),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5020, 5013, 5001])).
% 77.86/50.18 tff(5022,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | m_or_h_gate_v_in1(c_e_h_1, c_j, s6) | m_or_h_gate_v_out(c_e_h_1, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.18 tff(5023,plain,
% 77.86/50.18 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s6) | m_or_h_gate_v_out(c_e_h_1, c_j, s6)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5022, 4989])).
% 77.86/50.18 tff(5024,plain,
% 77.86/50.18 (~m_or_h_gate_v_out(c_e_h_1, c_j, s7)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5023, 4662, 3775])).
% 77.86/50.18 tff(5025,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s3)), introduced(assumption)).
% 77.86/50.18 tff(5026,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s2)), introduced(assumption)).
% 77.86/50.18 tff(5027,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s1)), introduced(assumption)).
% 77.86/50.18 tff(5028,assumption,(node18(c_e_h_1, c_h, s1, s2)), introduced(assumption)).
% 77.86/50.18 tff(5029,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5030,plain,
% 77.86/50.18 (((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~node18(c_e_h_1, c_h, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5031,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~node18(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2))))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5030])).
% 77.86/50.18 tff(5032,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~node18(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5031, 5029])).
% 77.86/50.18 tff(5033,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~node18(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5034,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node18(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 77.86/50.18 tff(5035,plain,
% 77.86/50.18 ($false),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5034, 481, 5027, 5026, 5028])).
% 77.86/50.18 tff(5036,plain,((~node18(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.18 tff(5037,plain,
% 77.86/50.18 (~node18(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5036, 5027, 5026])).
% 77.86/50.18 tff(5038,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_h, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5039,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5040,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 77.86/50.18 tff(5041,plain,
% 77.86/50.18 (node19(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5040, 494, 265])).
% 77.86/50.18 tff(5042,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5043,plain,
% 77.86/50.18 ((node17(c_e_h_1, c_h, s1) | node18(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2))) <=> (node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5044,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s1) | node18(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5043])).
% 77.86/50.18 tff(5045,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s1) | node18(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5044, 5042])).
% 77.86/50.18 tff(5046,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s1) | node18(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5047,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s1) | (~node19(c_e_h_1, c_h, s1, s2)) | node18(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 77.86/50.18 tff(5048,plain,
% 77.86/50.18 (node17(c_e_h_1, c_h, s1) | node18(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5047, 508, 5041])).
% 77.86/50.18 tff(5049,plain,
% 77.86/50.18 (node17(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5048, 5037])).
% 77.86/50.18 tff(5050,plain,
% 77.86/50.18 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5051,plain,
% 77.86/50.18 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5052,plain,
% 77.86/50.18 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s1)) | m_or_h_gate_v_out(c_e_h_1, c_j, s1)),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 77.86/50.18 tff(5053,plain,
% 77.86/50.18 (~m_c_h_element_v_in2(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5052, 1740, 4145])).
% 77.86/50.18 tff(5054,plain,
% 77.86/50.18 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5055,plain,
% 77.86/50.18 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~node17(c_e_h_1, c_h, s1))) <=> ((~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5056,plain,
% 77.86/50.18 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~node17(c_e_h_1, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1))))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5055])).
% 77.86/50.18 tff(5057,plain,
% 77.86/50.18 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~node17(c_e_h_1, c_h, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1)))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5056, 5054])).
% 77.86/50.18 tff(5058,plain,
% 77.86/50.18 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~node17(c_e_h_1, c_h, s1)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5059,plain,
% 77.86/50.18 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s1)) | m_c_h_element_v_in2(c_e_h_1, c_h, s1) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1))),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 77.86/50.18 tff(5060,plain,
% 77.86/50.18 ((~node17(c_e_h_1, c_h, s1)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s1))),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5059, 541, 5053])).
% 77.86/50.18 tff(5061,plain,
% 77.86/50.18 (~m_c_h_element_v_in1(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5060, 5049])).
% 77.86/50.18 tff(5062,plain,
% 77.86/50.18 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | m_c_h_element_v_in2(c_e_h_1, c_h, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | m_c_h_element_v_in2(c_e_h_1, c_h, s1))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5063,plain,
% 77.86/50.18 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | m_c_h_element_v_in2(c_e_h_1, c_h, s1))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5064,plain,
% 77.86/50.18 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | m_c_h_element_v_in2(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 77.86/50.18 tff(5065,plain,
% 77.86/50.18 ((~node16(c_e_h_1, c_h, s1)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5064, 559, 5053])).
% 77.86/50.18 tff(5066,plain,
% 77.86/50.18 (~node16(c_e_h_1, c_h, s1)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5065, 5061])).
% 77.86/50.18 tff(5067,assumption,(node14(c_e_h_1, c_h, s1, s2)), introduced(assumption)).
% 77.86/50.18 tff(5068,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s1)), introduced(assumption)).
% 77.86/50.18 tff(5069,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5070,plain,
% 77.86/50.18 (((~node14(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(rewrite,[status(thm)],[])).
% 77.86/50.18 tff(5071,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2))))),
% 77.86/50.18 inference(monotonicity,[status(thm)],[5070])).
% 77.86/50.18 tff(5072,plain,
% 77.86/50.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.18 inference(transitivity,[status(thm)],[5071, 5069])).
% 77.86/50.18 tff(5073,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)))),
% 77.86/50.18 inference(quant_inst,[status(thm)],[])).
% 77.86/50.18 tff(5074,plain,
% 77.86/50.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node14(c_e_h_1, c_h, s1, s2))),
% 77.86/50.18 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 77.86/50.18 tff(5075,plain,
% 77.86/50.18 ($false),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5074, 575, 5026, 5068, 5067])).
% 77.86/50.18 tff(5076,plain,((~node14(c_e_h_1, c_h, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.18 tff(5077,plain,
% 77.86/50.18 (~node14(c_e_h_1, c_h, s1, s2)),
% 77.86/50.18 inference(unit_resolution,[status(thm)],[5076, 5061, 5026])).
% 77.86/50.19 tff(5078,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5079,plain,
% 77.86/50.19 ((node16(c_e_h_1, c_h, s1) | node14(c_e_h_1, c_h, s1, s2) | node15(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2))) <=> (node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5080,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s1) | node14(c_e_h_1, c_h, s1, s2) | node15(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2))))),
% 77.86/50.19 inference(monotonicity,[status(thm)],[5079])).
% 77.86/50.19 tff(5081,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s1) | node14(c_e_h_1, c_h, s1, s2) | node15(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.19 inference(transitivity,[status(thm)],[5080, 5078])).
% 77.86/50.19 tff(5082,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s1) | node14(c_e_h_1, c_h, s1, s2) | node15(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2)))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5083,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2) | (~node19(c_e_h_1, c_h, s1, s2))),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 77.86/50.19 tff(5084,plain,
% 77.86/50.19 (node16(c_e_h_1, c_h, s1) | node15(c_e_h_1, c_h, s1, s2) | node14(c_e_h_1, c_h, s1, s2)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5083, 594, 5041])).
% 77.86/50.19 tff(5085,plain,
% 77.86/50.19 (node15(c_e_h_1, c_h, s1, s2)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5084, 5077, 5066])).
% 77.86/50.19 tff(5086,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node15(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node15(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5087,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node15(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5088,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2)) | (~node15(c_e_h_1, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s1)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 77.86/50.19 tff(5089,plain,
% 77.86/50.19 ($false),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5088, 612, 5027, 5026, 5085])).
% 77.86/50.19 tff(5090,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s1) | (~m_c_h_element_v_out(c_e_h_1, c_h, s2))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.19 tff(5091,plain,
% 77.86/50.19 (~m_c_h_element_v_out(c_e_h_1, c_h, s2)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5090, 4717])).
% 77.86/50.19 tff(5092,plain,
% 77.86/50.19 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5093,plain,
% 77.86/50.19 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5094,plain,
% 77.86/50.19 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s2)) | m_c_h_element_v_out(c_e_h_1, c_h, s2)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 77.86/50.19 tff(5095,plain,
% 77.86/50.19 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s2)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5094, 8, 5091])).
% 77.86/50.19 tff(5096,plain,
% 77.86/50.19 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s2))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5097,plain,
% 77.86/50.19 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s2))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5098,plain,
% 77.86/50.19 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s2)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 77.86/50.19 tff(5099,plain,
% 77.86/50.19 (~node20(c_e_h_1, c_i, s2)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5098, 22, 5095])).
% 77.86/50.19 tff(5100,assumption,(node21(c_e_h_1, c_i, s2, s3)), introduced(assumption)).
% 77.86/50.19 tff(5101,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5102,plain,
% 77.86/50.19 ((node20(c_e_h_1, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node21(c_e_h_1, c_i, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5103,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node21(c_e_h_1, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3))))),
% 77.86/50.19 inference(monotonicity,[status(thm)],[5102])).
% 77.86/50.19 tff(5104,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node21(c_e_h_1, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3)))),
% 77.86/50.19 inference(transitivity,[status(thm)],[5103, 5101])).
% 77.86/50.19 tff(5105,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node21(c_e_h_1, c_i, s2, s3)))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5106,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | node20(c_e_h_1, c_i, s2) | (~node21(c_e_h_1, c_i, s2, s3))),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5105, 5104])).
% 77.86/50.19 tff(5107,plain,
% 77.86/50.19 ($false),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5106, 348, 5025, 5100, 5099])).
% 77.86/50.19 tff(5108,plain,((~node21(c_e_h_1, c_i, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.19 tff(5109,plain,
% 77.86/50.19 (~node21(c_e_h_1, c_i, s2, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5108, 5025])).
% 77.86/50.19 tff(5110,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_i, s2, s3) | node22(c_e_h_1, c_i, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_i, s2, s3) | node22(c_e_h_1, c_i, s2, s3))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5111,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_i, s2, s3) | node22(c_e_h_1, c_i, s2, s3))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5112,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_i, s2, s3) | node22(c_e_h_1, c_i, s2, s3)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 77.86/50.19 tff(5113,plain,
% 77.86/50.19 (node21(c_e_h_1, c_i, s2, s3) | node22(c_e_h_1, c_i, s2, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5112, 383, 463])).
% 77.86/50.19 tff(5114,plain,
% 77.86/50.19 (node22(c_e_h_1, c_i, s2, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5113, 5109])).
% 77.86/50.19 tff(5115,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node22(c_e_h_1, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node22(c_e_h_1, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5116,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node22(c_e_h_1, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5117,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | (~node22(c_e_h_1, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 77.86/50.19 tff(5118,plain,
% 77.86/50.19 ($false),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5117, 437, 5025, 5114, 4777])).
% 77.86/50.19 tff(5119,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.19 tff(5120,plain,
% 77.86/50.19 (~m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5119, 4776])).
% 77.86/50.19 tff(5121,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s3)), introduced(assumption)).
% 77.86/50.19 tff(5122,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s3)), introduced(assumption)).
% 77.86/50.19 tff(5123,plain,
% 77.86/50.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5124,plain,
% 77.86/50.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5125,plain,
% 77.86/50.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 77.86/50.19 tff(5126,plain,
% 77.86/50.19 ($false),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5125, 4785, 5122, 5121])).
% 77.86/50.19 tff(5127,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.19 tff(5128,plain,
% 77.86/50.19 (~m_c_h_element_v_in2(c_e_h_1, c_e, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5127, 5120])).
% 77.86/50.19 tff(5129,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)), introduced(assumption)).
% 77.86/50.19 tff(5130,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s3)), introduced(assumption)).
% 77.86/50.19 tff(5131,plain,
% 77.86/50.19 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s3)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[4886, 5130])).
% 77.86/50.19 tff(5132,plain,
% 77.86/50.19 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[4918, 5131])).
% 77.86/50.19 tff(5133,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s3)), introduced(assumption)).
% 77.86/50.19 tff(5134,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.86/50.19 tff(5135,assumption,(node18(c_e_h_1, c_e, s3, s4)), introduced(assumption)).
% 77.86/50.19 tff(5136,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5137,plain,
% 77.86/50.19 (((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~node18(c_e_h_1, c_e, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5138,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~node18(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4))))),
% 77.86/50.19 inference(monotonicity,[status(thm)],[5137])).
% 77.86/50.19 tff(5139,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~node18(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(transitivity,[status(thm)],[5138, 5136])).
% 77.86/50.19 tff(5140,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~node18(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5141,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node18(c_e_h_1, c_e, s3, s4))),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 77.86/50.19 tff(5142,plain,
% 77.86/50.19 ($false),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5141, 481, 5130, 5134, 5135])).
% 77.86/50.19 tff(5143,plain,((~node18(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.19 tff(5144,plain,
% 77.86/50.19 (~node18(c_e_h_1, c_e, s3, s4)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5143, 5130, 5134])).
% 77.86/50.19 tff(5145,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_e, s3, s4))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5146,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_e, s3, s4))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5147,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_e, s3, s4)),
% 77.86/50.19 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 77.86/50.19 tff(5148,plain,
% 77.86/50.19 (node19(c_e_h_1, c_e, s3, s4)),
% 77.86/50.19 inference(unit_resolution,[status(thm)],[5147, 494, 711])).
% 77.86/50.19 tff(5149,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5150,plain,
% 77.86/50.19 ((node17(c_e_h_1, c_e, s3) | node18(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4))) <=> (node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(rewrite,[status(thm)],[])).
% 77.86/50.19 tff(5151,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s3) | node18(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4))))),
% 77.86/50.19 inference(monotonicity,[status(thm)],[5150])).
% 77.86/50.19 tff(5152,plain,
% 77.86/50.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s3) | node18(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(transitivity,[status(thm)],[5151, 5149])).
% 77.86/50.19 tff(5153,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s3) | node18(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.19 inference(quant_inst,[status(thm)],[])).
% 77.86/50.19 tff(5154,plain,
% 77.86/50.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3) | (~node19(c_e_h_1, c_e, s3, s4))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 77.86/50.20 tff(5155,plain,
% 77.86/50.20 (node18(c_e_h_1, c_e, s3, s4) | node17(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5154, 508, 5148])).
% 77.86/50.20 tff(5156,plain,
% 77.86/50.20 (node17(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5155, 5144])).
% 77.86/50.20 tff(5157,plain,
% 77.86/50.20 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5158,plain,
% 77.86/50.20 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~node17(c_e_h_1, c_e, s3))) <=> (m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5159,plain,
% 77.86/50.20 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~node17(c_e_h_1, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3))))),
% 77.86/50.20 inference(monotonicity,[status(thm)],[5158])).
% 77.86/50.20 tff(5160,plain,
% 77.86/50.20 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~node17(c_e_h_1, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3)))),
% 77.86/50.20 inference(transitivity,[status(thm)],[5159, 5157])).
% 77.86/50.20 tff(5161,plain,
% 77.86/50.20 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~node17(c_e_h_1, c_e, s3)))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5162,plain,
% 77.86/50.20 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 77.86/50.20 tff(5163,plain,
% 77.86/50.20 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s3)) | (~node17(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5162, 541, 5133])).
% 77.86/50.20 tff(5164,plain,
% 77.86/50.20 (~m_c_h_element_v_in1(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5163, 5156])).
% 77.86/50.20 tff(5165,assumption,(node15(c_e_h_1, c_e, s3, s4)), introduced(assumption)).
% 77.86/50.20 tff(5166,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node15(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node15(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5167,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node15(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5168,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | (~node15(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 77.86/50.20 tff(5169,plain,
% 77.86/50.20 ($false),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5168, 612, 5130, 5134, 5165])).
% 77.86/50.20 tff(5170,plain,((~node15(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.20 tff(5171,plain,
% 77.86/50.20 (~node15(c_e_h_1, c_e, s3, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5170, 5130, 5134])).
% 77.86/50.20 tff(5172,plain,
% 77.86/50.20 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | m_c_h_element_v_in2(c_e_h_1, c_e, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | m_c_h_element_v_in2(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5173,plain,
% 77.86/50.20 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | m_c_h_element_v_in2(c_e_h_1, c_e, s3))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5174,plain,
% 77.86/50.20 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | m_c_h_element_v_in2(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 77.86/50.20 tff(5175,plain,
% 77.86/50.20 ((~node16(c_e_h_1, c_e, s3)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5174, 559, 5133])).
% 77.86/50.20 tff(5176,plain,
% 77.86/50.20 (~node16(c_e_h_1, c_e, s3)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5175, 5164])).
% 77.86/50.20 tff(5177,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5178,plain,
% 77.86/50.20 ((node16(c_e_h_1, c_e, s3) | node14(c_e_h_1, c_e, s3, s4) | node15(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4))) <=> (node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5179,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s3) | node14(c_e_h_1, c_e, s3, s4) | node15(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4))))),
% 77.86/50.20 inference(monotonicity,[status(thm)],[5178])).
% 77.86/50.20 tff(5180,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s3) | node14(c_e_h_1, c_e, s3, s4) | node15(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.20 inference(transitivity,[status(thm)],[5179, 5177])).
% 77.86/50.20 tff(5181,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s3) | node14(c_e_h_1, c_e, s3, s4) | node15(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4)))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5182,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4) | (~node19(c_e_h_1, c_e, s3, s4))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 77.86/50.20 tff(5183,plain,
% 77.86/50.20 (node16(c_e_h_1, c_e, s3) | node15(c_e_h_1, c_e, s3, s4) | node14(c_e_h_1, c_e, s3, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5182, 594, 5148])).
% 77.86/50.20 tff(5184,plain,
% 77.86/50.20 (node14(c_e_h_1, c_e, s3, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5183, 5176, 5171])).
% 77.86/50.20 tff(5185,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5186,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5187,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_1, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 77.86/50.20 tff(5188,plain,
% 77.86/50.20 ($false),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5187, 575, 5134, 5184, 5164])).
% 77.86/50.20 tff(5189,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s4)) | m_c_h_element_v_in2(c_e_h_1, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.20 tff(5190,plain,
% 77.86/50.20 (~m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5189, 5130, 5133])).
% 77.86/50.20 tff(5191,plain,
% 77.86/50.20 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4) | m_c_h_element_v_out(c_e_h_1, c_e, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4) | m_c_h_element_v_out(c_e_h_1, c_e, s4))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5192,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4) | m_c_h_element_v_out(c_e_h_1, c_e, s4))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5193,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4) | m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 77.86/50.20 tff(5194,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4) | m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5193, 3964])).
% 77.86/50.20 tff(5195,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5194, 5190])).
% 77.86/50.20 tff(5196,plain,
% 77.86/50.20 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5197,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5198,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5197, 5196])).
% 77.86/50.20 tff(5199,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5198, 3976])).
% 77.86/50.20 tff(5200,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5199, 4591])).
% 77.86/50.20 tff(5201,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)), introduced(assumption)).
% 77.86/50.20 tff(5202,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)), introduced(assumption)).
% 77.86/50.20 tff(5203,assumption,(node10(c_e_h_1, c_n, s4, s5)), introduced(assumption)).
% 77.86/50.20 tff(5204,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5205,plain,
% 77.86/50.20 (((~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5206,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4))))),
% 77.86/50.20 inference(monotonicity,[status(thm)],[5205])).
% 77.86/50.20 tff(5207,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)))),
% 77.86/50.20 inference(transitivity,[status(thm)],[5206, 5204])).
% 77.86/50.20 tff(5208,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5209,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)) | (~node10(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 77.86/50.20 tff(5210,plain,
% 77.86/50.20 ($false),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5209, 160, 5129, 5202, 5201, 5203])).
% 77.86/50.20 tff(5211,plain,((~node10(c_e_h_1, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.20 tff(5212,plain,
% 77.86/50.20 (~node10(c_e_h_1, c_n, s4, s5)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5211, 5129, 5202, 5201])).
% 77.86/50.20 tff(5213,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_1, c_n, s4, s5) | node11(c_e_h_1, c_n, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_1, c_n, s4, s5) | node11(c_e_h_1, c_n, s4, s5))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5214,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_1, c_n, s4, s5) | node11(c_e_h_1, c_n, s4, s5))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5215,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_1, c_n, s4, s5) | node11(c_e_h_1, c_n, s4, s5)),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 77.86/50.20 tff(5216,plain,
% 77.86/50.20 (node10(c_e_h_1, c_n, s4, s5) | node11(c_e_h_1, c_n, s4, s5)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5215, 193, 930])).
% 77.86/50.20 tff(5217,plain,
% 77.86/50.20 (node11(c_e_h_1, c_n, s4, s5)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5216, 5212])).
% 77.86/50.20 tff(5218,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)), introduced(assumption)).
% 77.86/50.20 tff(5219,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5220,plain,
% 77.86/50.20 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5221,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5))))),
% 77.86/50.20 inference(monotonicity,[status(thm)],[5220])).
% 77.86/50.20 tff(5222,plain,
% 77.86/50.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)))),
% 77.86/50.20 inference(transitivity,[status(thm)],[5221, 5219])).
% 77.86/50.20 tff(5223,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5224,plain,
% 77.86/50.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~node11(c_e_h_1, c_n, s4, s5))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 77.86/50.20 tff(5225,plain,
% 77.86/50.20 ($false),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5224, 208, 5218, 5129, 5217])).
% 77.86/50.20 tff(5226,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.20 tff(5227,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4))),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5226, 5200])).
% 77.86/50.20 tff(5228,plain,
% 77.86/50.20 ($false),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5227, 5195, 5132, 5129])).
% 77.86/50.20 tff(5229,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.20 tff(5230,plain,
% 77.86/50.20 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5229, 4882, 5128])).
% 77.86/50.20 tff(5231,plain,
% 77.86/50.20 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))),
% 77.86/50.20 inference(rewrite,[status(thm)],[])).
% 77.86/50.20 tff(5232,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))),
% 77.86/50.20 inference(quant_inst,[status(thm)],[])).
% 77.86/50.20 tff(5233,plain,
% 77.86/50.20 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))),
% 77.86/50.20 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 77.86/50.20 tff(5234,plain,
% 77.86/50.20 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 77.86/50.20 inference(unit_resolution,[status(thm)],[5233, 3886, 5230])).
% 77.86/50.20 tff(5235,plain,
% 77.86/50.20 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5236,plain,
% 77.86/50.21 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5237,plain,
% 77.86/50.21 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 77.86/50.21 tff(5238,plain,
% 77.86/50.21 (~node9(c_e_h_1, c_m, s5)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5237, 238, 5234])).
% 77.86/50.21 tff(5239,assumption,(~node9(c_e_h_1, c_m, s5)), introduced(assumption)).
% 77.86/50.21 tff(5240,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)), introduced(assumption)).
% 77.86/50.21 tff(5241,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)), introduced(assumption)).
% 77.86/50.21 tff(5242,assumption,(node11(c_e_h_1, c_m, s5, s6)), introduced(assumption)).
% 77.86/50.21 tff(5243,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node11(c_e_h_1, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node11(c_e_h_1, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5244,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node11(c_e_h_1, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5245,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node11(c_e_h_1, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 77.86/50.21 tff(5246,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5245, 282, 5240, 5241, 5242])).
% 77.86/50.21 tff(5247,plain,((~node11(c_e_h_1, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5248,plain,
% 77.86/50.21 (~node11(c_e_h_1, c_m, s5, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5247, 5241, 5240])).
% 77.86/50.21 tff(5249,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_1, c_m, s5, s6) | node11(c_e_h_1, c_m, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_1, c_m, s5, s6) | node11(c_e_h_1, c_m, s5, s6))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5250,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_1, c_m, s5, s6) | node11(c_e_h_1, c_m, s5, s6))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5251,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_1, c_m, s5, s6) | node11(c_e_h_1, c_m, s5, s6)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 77.86/50.21 tff(5252,plain,
% 77.86/50.21 (node10(c_e_h_1, c_m, s5, s6) | node11(c_e_h_1, c_m, s5, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5251, 193, 1343])).
% 77.86/50.21 tff(5253,plain,
% 77.86/50.21 (node10(c_e_h_1, c_m, s5, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5252, 5248])).
% 77.86/50.21 tff(5254,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node10(c_e_h_1, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node10(c_e_h_1, c_m, s5, s6)))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5255,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node10(c_e_h_1, c_m, s5, s6)))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5256,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | (~node10(c_e_h_1, c_m, s5, s6))),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 77.86/50.21 tff(5257,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5256, 252, 5241, 5253, 5239])).
% 77.86/50.21 tff(5258,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)) | node9(c_e_h_1, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5259,plain,
% 77.86/50.21 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5258, 4952, 5238])).
% 77.86/50.21 tff(5260,plain,
% 77.86/50.21 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5261,plain,
% 77.86/50.21 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5262,plain,
% 77.86/50.21 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 77.86/50.21 tff(5263,plain,
% 77.86/50.21 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5262, 3838, 5259])).
% 77.86/50.21 tff(5264,plain,
% 77.86/50.21 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s6))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5265,plain,
% 77.86/50.21 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s6))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5266,plain,
% 77.86/50.21 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s6)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 77.86/50.21 tff(5267,plain,
% 77.86/50.21 (~node20(c_e_h_1, c_l, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5266, 334, 5263])).
% 77.86/50.21 tff(5268,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s7)), introduced(assumption)).
% 77.86/50.21 tff(5269,assumption,(~node20(c_e_h_1, c_l, s6)), introduced(assumption)).
% 77.86/50.21 tff(5270,assumption,(node22(c_e_h_1, c_l, s6, s7)), introduced(assumption)).
% 77.86/50.21 tff(5271,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node22(c_e_h_1, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node22(c_e_h_1, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5272,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node22(c_e_h_1, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5273,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node22(c_e_h_1, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 77.86/50.21 tff(5274,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5273, 437, 5270, 4983, 5268])).
% 77.86/50.21 tff(5275,plain,((~node22(c_e_h_1, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7))), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5276,plain,
% 77.86/50.21 (~node22(c_e_h_1, c_l, s6, s7)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5275, 5268, 4983])).
% 77.86/50.21 tff(5277,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_l, s6, s7) | node22(c_e_h_1, c_l, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_l, s6, s7) | node22(c_e_h_1, c_l, s6, s7))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5278,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_l, s6, s7) | node22(c_e_h_1, c_l, s6, s7))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5279,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_l, s6, s7) | node22(c_e_h_1, c_l, s6, s7)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5278, 5277])).
% 77.86/50.21 tff(5280,plain,
% 77.86/50.21 (node21(c_e_h_1, c_l, s6, s7) | node22(c_e_h_1, c_l, s6, s7)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5279, 383, 1685])).
% 77.86/50.21 tff(5281,plain,
% 77.86/50.21 (node21(c_e_h_1, c_l, s6, s7)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5280, 5276])).
% 77.86/50.21 tff(5282,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5283,plain,
% 77.86/50.21 ((node20(c_e_h_1, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node21(c_e_h_1, c_l, s6, s7))) <=> (node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5284,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node21(c_e_h_1, c_l, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7))))),
% 77.86/50.21 inference(monotonicity,[status(thm)],[5283])).
% 77.86/50.21 tff(5285,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node21(c_e_h_1, c_l, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)))),
% 77.86/50.21 inference(transitivity,[status(thm)],[5284, 5282])).
% 77.86/50.21 tff(5286,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | (~node21(c_e_h_1, c_l, s6, s7)))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5287,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s6) | (~node21(c_e_h_1, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s7))),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5286, 5285])).
% 77.86/50.21 tff(5288,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5287, 348, 5281, 5269, 5268])).
% 77.86/50.21 tff(5289,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | node20(c_e_h_1, c_l, s6) | m_and_h_gate_v_out(c_e_h_1, c_l, s6)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5290,plain,
% 77.86/50.21 ((~m_and_h_gate_v_out(c_e_h_1, c_l, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s6)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5289, 5267])).
% 77.86/50.21 tff(5291,plain,
% 77.86/50.21 (~m_and_h_gate_v_out(c_e_h_1, c_l, s7)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5290, 4981])).
% 77.86/50.21 tff(5292,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s7)), introduced(assumption)).
% 77.86/50.21 tff(5293,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s7)), introduced(assumption)).
% 77.86/50.21 tff(5294,plain,
% 77.86/50.21 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5295,plain,
% 77.86/50.21 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5296,plain,
% 77.86/50.21 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 77.86/50.21 tff(5297,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5296, 1835, 5293, 5292])).
% 77.86/50.21 tff(5298,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5299,plain,
% 77.86/50.21 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5298, 5291])).
% 77.86/50.21 tff(5300,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s7)), introduced(assumption)).
% 77.86/50.21 tff(5301,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s7)), introduced(assumption)).
% 77.86/50.21 tff(5302,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s8)), introduced(assumption)).
% 77.86/50.21 tff(5303,assumption,(node5(c_e_h_1, c_j, s7, s8)), introduced(assumption)).
% 77.86/50.21 tff(5304,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5305,plain,
% 77.86/50.21 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~node5(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5306,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~node5(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7)))),
% 77.86/50.21 inference(monotonicity,[status(thm)],[5305])).
% 77.86/50.21 tff(5307,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~node5(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7))),
% 77.86/50.21 inference(transitivity,[status(thm)],[5306, 5304])).
% 77.86/50.21 tff(5308,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~node5(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5309,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node5(c_e_h_1, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5308, 5307])).
% 77.86/50.21 tff(5310,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5309, 1888, 5302, 5303, 5301, 5300])).
% 77.86/50.21 tff(5311,plain,((~node5(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5312,plain,
% 77.86/50.21 (~node5(c_e_h_1, c_j, s7, s8)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5311, 5302, 5301, 5300])).
% 77.86/50.21 tff(5313,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5314,plain,
% 77.86/50.21 ((node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8) | (~trans(s7, s8))) <=> ((~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5315,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8)))),
% 77.86/50.21 inference(monotonicity,[status(thm)],[5314])).
% 77.86/50.21 tff(5316,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8))),
% 77.86/50.21 inference(transitivity,[status(thm)],[5315, 5313])).
% 77.86/50.21 tff(5317,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8) | (~trans(s7, s8)))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5318,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8)),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5317, 5316])).
% 77.86/50.21 tff(5319,plain,
% 77.86/50.21 (node6(c_e_h_1, c_j, s7, s8) | node5(c_e_h_1, c_j, s7, s8)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5318, 1870, 2456])).
% 77.86/50.21 tff(5320,plain,
% 77.86/50.21 (node6(c_e_h_1, c_j, s7, s8)),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5319, 5312])).
% 77.86/50.21 tff(5321,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s7)), introduced(assumption)).
% 77.86/50.21 tff(5322,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8)))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5323,plain,
% 77.86/50.21 (((~node6(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8)))),
% 77.86/50.21 inference(rewrite,[status(thm)],[])).
% 77.86/50.21 tff(5324,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8))))),
% 77.86/50.21 inference(monotonicity,[status(thm)],[5323])).
% 77.86/50.21 tff(5325,plain,
% 77.86/50.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8)))),
% 77.86/50.21 inference(transitivity,[status(thm)],[5324, 5322])).
% 77.86/50.21 tff(5326,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))),
% 77.86/50.21 inference(quant_inst,[status(thm)],[])).
% 77.86/50.21 tff(5327,plain,
% 77.86/50.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | (~node6(c_e_h_1, c_j, s7, s8))),
% 77.86/50.21 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 77.86/50.21 tff(5328,plain,
% 77.86/50.21 ($false),
% 77.86/50.21 inference(unit_resolution,[status(thm)],[5327, 1851, 5321, 5302, 5320])).
% 77.86/50.21 tff(5329,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7) | m_or_h_gate_v_in1(c_e_h_1, c_j, s7)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.21 tff(5330,plain,
% 77.86/50.21 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7) | m_or_h_gate_v_in2(c_e_h_1, c_j, s7)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5329, 5299])).
% 77.86/50.22 tff(5331,plain,
% 77.86/50.22 (~m_or_h_gate_v_out(c_e_h_1, c_j, s8)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5330, 5024, 3762])).
% 77.86/50.22 tff(5332,plain,
% 77.86/50.22 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X)) <=> ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X)))),
% 77.86/50.22 inference(bind,[status(th)],[])).
% 77.86/50.22 tff(5333,plain,
% 77.86/50.22 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(quant_intro,[status(thm)],[5332])).
% 77.86/50.22 tff(5334,plain,
% 77.86/50.22 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(rewrite,[status(thm)],[])).
% 77.86/50.22 tff(5335,plain,
% 77.86/50.22 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in2(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_i, X))) <=> ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X)))),
% 77.86/50.22 inference(bind,[status(th)],[])).
% 77.86/50.22 tff(5336,plain,
% 77.86/50.22 (![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_i, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(quant_intro,[status(thm)],[5335])).
% 77.86/50.22 tff(5337,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_i, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_21')).
% 77.86/50.22 tff(5338,plain,
% 77.86/50.22 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 77.86/50.22 tff(5339,plain,
% 77.86/50.22 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5338, 5334])).
% 77.86/50.22 tff(5340,plain,(
% 77.86/50.22 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(skolemize,[status(sab)],[5339])).
% 77.86/50.22 tff(5341,plain,
% 77.86/50.22 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5340, 5333])).
% 77.86/50.22 tff(5342,plain,
% 77.86/50.22 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.22 inference(rewrite,[status(thm)],[])).
% 77.86/50.22 tff(5343,plain,
% 77.86/50.22 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2))),
% 77.86/50.22 inference(quant_inst,[status(thm)],[])).
% 77.86/50.22 tff(5344,plain,
% 77.86/50.22 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 77.86/50.22 tff(5345,plain,
% 77.86/50.22 ($false),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5344, 5341, 4843, 4663])).
% 77.86/50.22 tff(5346,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s2)) | m_c_h_element_v_in2(c_e_h_1, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.22 tff(5347,plain,
% 77.86/50.22 (~m_and_h_gate_v_out(c_e_h_1, c_i, s2)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5346, 4843])).
% 77.86/50.22 tff(5348,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)), introduced(assumption)).
% 77.86/50.22 tff(5349,plain,
% 77.86/50.22 (~m_c_h_element_v_out(c_e_h_1, c_e, s3)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[4881, 4843])).
% 77.86/50.22 tff(5350,plain,
% 77.86/50.22 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))),
% 77.86/50.22 inference(rewrite,[status(thm)],[])).
% 77.86/50.22 tff(5351,plain,
% 77.86/50.22 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2))),
% 77.86/50.22 inference(quant_inst,[status(thm)],[])).
% 77.86/50.22 tff(5352,plain,
% 77.86/50.22 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s2)) | m_or_h_gate_v_out(c_e_h_1, c_g, s2)),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 77.86/50.22 tff(5353,plain,
% 77.86/50.22 (~m_c_h_element_v_in1(c_e_h_1, c_h, s2)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5352, 4673, 2703])).
% 77.86/50.22 tff(5354,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s2)), introduced(assumption)).
% 77.86/50.22 tff(5355,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s3)), introduced(assumption)).
% 77.86/50.22 tff(5356,assumption,(node14(c_e_h_1, c_h, s2, s3)), introduced(assumption)).
% 77.86/50.22 tff(5357,plain,
% 77.86/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3)))),
% 77.86/50.22 inference(rewrite,[status(thm)],[])).
% 77.86/50.22 tff(5358,plain,
% 77.86/50.22 (((~node14(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3)))),
% 77.86/50.22 inference(rewrite,[status(thm)],[])).
% 77.86/50.22 tff(5359,plain,
% 77.86/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3))))),
% 77.86/50.22 inference(monotonicity,[status(thm)],[5358])).
% 77.86/50.22 tff(5360,plain,
% 77.86/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3)))),
% 77.86/50.22 inference(transitivity,[status(thm)],[5359, 5357])).
% 77.86/50.22 tff(5361,plain,
% 77.86/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)))),
% 77.86/50.22 inference(quant_inst,[status(thm)],[])).
% 77.86/50.22 tff(5362,plain,
% 77.86/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~node14(c_e_h_1, c_h, s2, s3))),
% 77.86/50.22 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 77.86/50.22 tff(5363,plain,
% 77.86/50.22 ($false),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5362, 575, 5355, 5356, 5354])).
% 77.86/50.22 tff(5364,plain,((~node14(c_e_h_1, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.86/50.22 tff(5365,plain,
% 77.86/50.22 (~node14(c_e_h_1, c_h, s2, s3)),
% 77.86/50.22 inference(unit_resolution,[status(thm)],[5364, 5355, 5354])).
% 77.96/50.22 tff(5366,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s2)), introduced(assumption)).
% 77.96/50.22 tff(5367,assumption,(node15(c_e_h_1, c_h, s2, s3)), introduced(assumption)).
% 77.96/50.22 tff(5368,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node15(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node15(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5369,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node15(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2))),
% 77.96/50.22 inference(quant_inst,[status(thm)],[])).
% 77.96/50.22 tff(5370,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node15(c_e_h_1, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2)),
% 77.96/50.22 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 77.96/50.22 tff(5371,plain,
% 77.96/50.22 ($false),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5370, 612, 5355, 5366, 5367])).
% 77.96/50.22 tff(5372,plain,((~node15(c_e_h_1, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.22 tff(5373,plain,
% 77.96/50.22 (~node15(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5372, 5366, 5355])).
% 77.96/50.22 tff(5374,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5375,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(quant_inst,[status(thm)],[])).
% 77.96/50.22 tff(5376,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 77.96/50.22 tff(5377,plain,
% 77.96/50.22 (node19(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5376, 494, 463])).
% 77.96/50.22 tff(5378,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5379,plain,
% 77.96/50.22 ((node16(c_e_h_1, c_h, s2) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3))) <=> (node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5380,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s2) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(monotonicity,[status(thm)],[5379])).
% 77.96/50.22 tff(5381,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s2) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(transitivity,[status(thm)],[5380, 5378])).
% 77.96/50.22 tff(5382,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s2) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(quant_inst,[status(thm)],[])).
% 77.96/50.22 tff(5383,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 77.96/50.22 tff(5384,plain,
% 77.96/50.22 (node16(c_e_h_1, c_h, s2) | node14(c_e_h_1, c_h, s2, s3) | node15(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5383, 594, 5377])).
% 77.96/50.22 tff(5385,plain,
% 77.96/50.22 (node16(c_e_h_1, c_h, s2)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5384, 5373, 5365])).
% 77.96/50.22 tff(5386,assumption,(node18(c_e_h_1, c_h, s2, s3)), introduced(assumption)).
% 77.96/50.22 tff(5387,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5388,plain,
% 77.96/50.22 (((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~node18(c_e_h_1, c_h, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5389,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~node18(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3))))),
% 77.96/50.22 inference(monotonicity,[status(thm)],[5388])).
% 77.96/50.22 tff(5390,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~node18(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(transitivity,[status(thm)],[5389, 5387])).
% 77.96/50.22 tff(5391,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~node18(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(quant_inst,[status(thm)],[])).
% 77.96/50.22 tff(5392,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | (~node18(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(modus_ponens,[status(thm)],[5391, 5390])).
% 77.96/50.22 tff(5393,plain,
% 77.96/50.22 ($false),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5392, 481, 5355, 5366, 5386])).
% 77.96/50.22 tff(5394,plain,((~node18(c_e_h_1, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.22 tff(5395,plain,
% 77.96/50.22 (~node18(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5394, 5366, 5355])).
% 77.96/50.22 tff(5396,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5397,plain,
% 77.96/50.22 ((node17(c_e_h_1, c_h, s2) | node18(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3))) <=> (node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5398,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s2) | node18(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(monotonicity,[status(thm)],[5397])).
% 77.96/50.22 tff(5399,plain,
% 77.96/50.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s2) | node18(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3))),
% 77.96/50.22 inference(transitivity,[status(thm)],[5398, 5396])).
% 77.96/50.22 tff(5400,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s2) | node18(c_e_h_1, c_h, s2, s3) | (~node19(c_e_h_1, c_h, s2, s3)))),
% 77.96/50.22 inference(quant_inst,[status(thm)],[])).
% 77.96/50.22 tff(5401,plain,
% 77.96/50.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s2) | (~node19(c_e_h_1, c_h, s2, s3)) | node18(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 77.96/50.22 tff(5402,plain,
% 77.96/50.22 (node17(c_e_h_1, c_h, s2) | node18(c_e_h_1, c_h, s2, s3)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5401, 508, 5377])).
% 77.96/50.22 tff(5403,plain,
% 77.96/50.22 (node17(c_e_h_1, c_h, s2)),
% 77.96/50.22 inference(unit_resolution,[status(thm)],[5402, 5395])).
% 77.96/50.22 tff(5404,plain,
% 77.96/50.22 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5405,plain,
% 77.96/50.22 ((m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2))),
% 77.96/50.22 inference(rewrite,[status(thm)],[])).
% 77.96/50.22 tff(5406,plain,
% 77.96/50.22 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2)))),
% 77.96/50.23 inference(monotonicity,[status(thm)],[5405])).
% 77.96/50.23 tff(5407,plain,
% 77.96/50.23 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2))),
% 77.96/50.23 inference(transitivity,[status(thm)],[5406, 5404])).
% 77.96/50.23 tff(5408,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5409,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5408, 5407])).
% 77.96/50.23 tff(5410,plain,
% 77.96/50.23 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s2)) | (~node17(c_e_h_1, c_h, s2))),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5409, 1172, 5354])).
% 77.96/50.23 tff(5411,plain,
% 77.96/50.23 (~m_c_h_element_v_in2(c_e_h_1, c_h, s2)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5410, 5403])).
% 77.96/50.23 tff(5412,plain,
% 77.96/50.23 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | m_c_h_element_v_in2(c_e_h_1, c_h, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | m_c_h_element_v_in2(c_e_h_1, c_h, s2))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5413,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | m_c_h_element_v_in2(c_e_h_1, c_h, s2))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5414,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s2)) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | m_c_h_element_v_in2(c_e_h_1, c_h, s2)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 77.96/50.23 tff(5415,plain,
% 77.96/50.23 ((~node16(c_e_h_1, c_h, s2)) | m_c_h_element_v_in2(c_e_h_1, c_h, s2)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5414, 559, 5354])).
% 77.96/50.23 tff(5416,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5415, 5411, 5385])).
% 77.96/50.23 tff(5417,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s2) | m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5418,plain,
% 77.96/50.23 (m_c_h_element_v_in1(c_e_h_1, c_h, s2) | (~m_c_h_element_v_out(c_e_h_1, c_h, s3))),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5417, 5091])).
% 77.96/50.23 tff(5419,plain,
% 77.96/50.23 (~m_c_h_element_v_out(c_e_h_1, c_h, s3)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5418, 5353])).
% 77.96/50.23 tff(5420,plain,
% 77.96/50.23 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5421,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5422,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s3)) | m_c_h_element_v_out(c_e_h_1, c_h, s3)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 77.96/50.23 tff(5423,plain,
% 77.96/50.23 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s3)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5422, 8, 5419])).
% 77.96/50.23 tff(5424,plain,
% 77.96/50.23 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s3))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5425,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s3))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5426,plain,
% 77.96/50.23 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s3)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 77.96/50.23 tff(5427,plain,
% 77.96/50.23 (~node20(c_e_h_1, c_i, s3)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5426, 22, 5423])).
% 77.96/50.23 tff(5428,assumption,(~node20(c_e_h_1, c_i, s3)), introduced(assumption)).
% 77.96/50.23 tff(5429,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s4)), introduced(assumption)).
% 77.96/50.23 tff(5430,assumption,(node21(c_e_h_1, c_i, s3, s4)), introduced(assumption)).
% 77.96/50.23 tff(5431,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node21(c_e_h_1, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node21(c_e_h_1, c_i, s3, s4)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5432,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node21(c_e_h_1, c_i, s3, s4)))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5433,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node21(c_e_h_1, c_i, s3, s4))),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 77.96/50.23 tff(5434,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5433, 348, 5430, 5429, 5428])).
% 77.96/50.23 tff(5435,plain,((~node21(c_e_h_1, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | node20(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5436,plain,
% 77.96/50.23 (~node21(c_e_h_1, c_i, s3, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5435, 5429, 5428])).
% 77.96/50.23 tff(5437,assumption,(node22(c_e_h_1, c_i, s3, s4)), introduced(assumption)).
% 77.96/50.23 tff(5438,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node22(c_e_h_1, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node22(c_e_h_1, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5439,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node22(c_e_h_1, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5440,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | (~node22(c_e_h_1, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 77.96/50.23 tff(5441,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5440, 437, 5437, 5429, 5121])).
% 77.96/50.23 tff(5442,plain,((~node22(c_e_h_1, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5443,plain,
% 77.96/50.23 (~node22(c_e_h_1, c_i, s3, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5442, 5429, 5121])).
% 77.96/50.23 tff(5444,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_i, s3, s4) | node22(c_e_h_1, c_i, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_i, s3, s4) | node22(c_e_h_1, c_i, s3, s4))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5445,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_i, s3, s4) | node22(c_e_h_1, c_i, s3, s4))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5446,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_i, s3, s4) | node22(c_e_h_1, c_i, s3, s4)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 77.96/50.23 tff(5447,plain,
% 77.96/50.23 (node21(c_e_h_1, c_i, s3, s4) | node22(c_e_h_1, c_i, s3, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5446, 383, 711])).
% 77.96/50.23 tff(5448,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5447, 5443, 5436])).
% 77.96/50.23 tff(5449,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3) | node20(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5450,plain,
% 77.96/50.23 (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5449, 5121, 5427])).
% 77.96/50.23 tff(5451,plain,
% 77.96/50.23 (~m_c_h_element_v_in2(c_e_h_1, c_e, s3)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5127, 5121])).
% 77.96/50.23 tff(5452,plain,
% 77.96/50.23 (~m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5189, 5451, 5130])).
% 77.96/50.23 tff(5453,plain,
% 77.96/50.23 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[4922, 3886, 5132])).
% 77.96/50.23 tff(5454,plain,
% 77.96/50.23 (~node9(c_e_h_1, c_m, s4)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[4926, 238, 5453])).
% 77.96/50.23 tff(5455,plain,
% 77.96/50.23 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[4951, 5454])).
% 77.96/50.23 tff(5456,plain,
% 77.96/50.23 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5457,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5458,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 77.96/50.23 tff(5459,plain,
% 77.96/50.23 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5458, 3976])).
% 77.96/50.23 tff(5460,plain,
% 77.96/50.23 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5459, 5455])).
% 77.96/50.23 tff(5461,plain,
% 77.96/50.23 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5229, 5451, 5130])).
% 77.96/50.23 tff(5462,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)), introduced(assumption)).
% 77.96/50.23 tff(5463,assumption,(node11(c_e_h_1, c_n, s5, s6)), introduced(assumption)).
% 77.96/50.23 tff(5464,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5465,plain,
% 77.96/50.23 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~node11(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5466,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~node11(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6))))),
% 77.96/50.23 inference(monotonicity,[status(thm)],[5465])).
% 77.96/50.23 tff(5467,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~node11(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(transitivity,[status(thm)],[5466, 5464])).
% 77.96/50.23 tff(5468,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~node11(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5469,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)) | (~node11(c_e_h_1, c_n, s5, s6))),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 77.96/50.23 tff(5470,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5469, 208, 5348, 5462, 5463])).
% 77.96/50.23 tff(5471,plain,((~node11(c_e_h_1, c_n, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5472,plain,
% 77.96/50.23 (~node11(c_e_h_1, c_n, s5, s6)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5471, 5348, 5462])).
% 77.96/50.23 tff(5473,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)), introduced(assumption)).
% 77.96/50.23 tff(5474,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)), introduced(assumption)).
% 77.96/50.23 tff(5475,assumption,(node10(c_e_h_1, c_n, s5, s6)), introduced(assumption)).
% 77.96/50.23 tff(5476,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5477,plain,
% 77.96/50.23 (((~node10(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5478,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6))))),
% 77.96/50.23 inference(monotonicity,[status(thm)],[5477])).
% 77.96/50.23 tff(5479,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6)))),
% 77.96/50.23 inference(transitivity,[status(thm)],[5478, 5476])).
% 77.96/50.23 tff(5480,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5481,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~node10(c_e_h_1, c_n, s5, s6))),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 77.96/50.23 tff(5482,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5481, 160, 5474, 5348, 5473, 5475])).
% 77.96/50.23 tff(5483,plain,((~node10(c_e_h_1, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5484,plain,
% 77.96/50.23 (~node10(c_e_h_1, c_n, s5, s6)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5483, 5348, 5474, 5473])).
% 77.96/50.23 tff(5485,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_1, c_n, s5, s6) | node11(c_e_h_1, c_n, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_1, c_n, s5, s6) | node11(c_e_h_1, c_n, s5, s6))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5486,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_1, c_n, s5, s6) | node11(c_e_h_1, c_n, s5, s6))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5487,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_1, c_n, s5, s6) | node11(c_e_h_1, c_n, s5, s6)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5486, 5485])).
% 77.96/50.23 tff(5488,plain,
% 77.96/50.23 (node10(c_e_h_1, c_n, s5, s6) | node11(c_e_h_1, c_n, s5, s6)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5487, 193, 1343])).
% 77.96/50.23 tff(5489,plain,
% 77.96/50.23 ($false),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5488, 5484, 5472])).
% 77.96/50.23 tff(5490,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.23 tff(5491,plain,
% 77.96/50.23 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5490, 5461, 5348, 5460])).
% 77.96/50.23 tff(5492,plain,
% 77.96/50.23 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5493,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 77.96/50.23 inference(quant_inst,[status(thm)],[])).
% 77.96/50.23 tff(5494,plain,
% 77.96/50.23 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 77.96/50.23 inference(modus_ponens,[status(thm)],[5493, 5492])).
% 77.96/50.23 tff(5495,plain,
% 77.96/50.23 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5494, 3964])).
% 77.96/50.23 tff(5496,plain,
% 77.96/50.23 (m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 77.96/50.23 inference(unit_resolution,[status(thm)],[5495, 5491])).
% 77.96/50.23 tff(5497,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.23 tff(5498,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.23 tff(5499,assumption,(node18(c_e_h_1, c_e, s4, s5)), introduced(assumption)).
% 77.96/50.23 tff(5500,plain,
% 77.96/50.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4) | (~node18(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4) | (~node18(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.23 inference(rewrite,[status(thm)],[])).
% 77.96/50.23 tff(5501,plain,
% 77.96/50.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4) | (~node18(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5502,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4) | (~node18(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 77.96/50.24 tff(5503,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5502, 481, 5497, 5498, 5499])).
% 77.96/50.24 tff(5504,plain,((~node18(c_e_h_1, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5505,plain,
% 77.96/50.24 (~node18(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5504, 5498, 5497])).
% 77.96/50.24 tff(5506,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5507,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5508,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 77.96/50.24 tff(5509,plain,
% 77.96/50.24 (node19(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5508, 494, 930])).
% 77.96/50.24 tff(5510,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5511,plain,
% 77.96/50.24 ((node17(c_e_h_1, c_e, s4) | node18(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5))) <=> (node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5512,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s4) | node18(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(monotonicity,[status(thm)],[5511])).
% 77.96/50.24 tff(5513,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s4) | node18(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(transitivity,[status(thm)],[5512, 5510])).
% 77.96/50.24 tff(5514,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s4) | node18(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5515,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)) | node18(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 77.96/50.24 tff(5516,plain,
% 77.96/50.24 (node17(c_e_h_1, c_e, s4) | node18(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5515, 508, 5509])).
% 77.96/50.24 tff(5517,plain,
% 77.96/50.24 (node17(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5516, 5505])).
% 77.96/50.24 tff(5518,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.24 tff(5519,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5520,plain,
% 77.96/50.24 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4))) <=> (m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5521,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))))),
% 77.96/50.24 inference(monotonicity,[status(thm)],[5520])).
% 77.96/50.24 tff(5522,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(transitivity,[status(thm)],[5521, 5519])).
% 77.96/50.24 tff(5523,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5524,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 77.96/50.24 tff(5525,plain,
% 77.96/50.24 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5524, 541, 5518])).
% 77.96/50.24 tff(5526,plain,
% 77.96/50.24 (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5525, 5517])).
% 77.96/50.24 tff(5527,assumption,(node15(c_e_h_1, c_e, s4, s5)), introduced(assumption)).
% 77.96/50.24 tff(5528,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node15(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node15(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5529,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node15(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5530,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node15(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 77.96/50.24 tff(5531,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5530, 612, 5497, 5498, 5527])).
% 77.96/50.24 tff(5532,plain,((~node15(c_e_h_1, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5533,plain,
% 77.96/50.24 (~node15(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5532, 5498, 5497])).
% 77.96/50.24 tff(5534,assumption,(node17(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.24 tff(5535,assumption,(node16(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.24 tff(5536,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.24 tff(5537,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5538,plain,
% 77.96/50.24 ((m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5539,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4))))),
% 77.96/50.24 inference(monotonicity,[status(thm)],[5538])).
% 77.96/50.24 tff(5540,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(transitivity,[status(thm)],[5539, 5537])).
% 77.96/50.24 tff(5541,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5542,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node17(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 77.96/50.24 tff(5543,plain,
% 77.96/50.24 (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5542, 1172, 5534])).
% 77.96/50.24 tff(5544,plain,
% 77.96/50.24 (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5543, 5536])).
% 77.96/50.24 tff(5545,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5546,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5547,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s4)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 77.96/50.24 tff(5548,plain,
% 77.96/50.24 (m_c_h_element_v_in1(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5547, 559, 5535])).
% 77.96/50.24 tff(5549,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5548, 5544, 5536])).
% 77.96/50.24 tff(5550,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~node16(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5551,plain,
% 77.96/50.24 (m_c_h_element_v_in1(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5550, 5535, 5534])).
% 77.96/50.24 tff(5552,plain,
% 77.96/50.24 (m_c_h_element_v_in2(c_e_h_1, c_e, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5524, 541, 5534])).
% 77.96/50.24 tff(5553,plain,
% 77.96/50.24 (m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5552, 5551])).
% 77.96/50.24 tff(5554,plain,
% 77.96/50.24 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5555,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5556,plain,
% 77.96/50.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5555, 5554])).
% 77.96/50.24 tff(5557,plain,
% 77.96/50.24 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5556, 1192, 5535])).
% 77.96/50.24 tff(5558,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5557, 5553, 5551])).
% 77.96/50.24 tff(5559,plain,((~node16(c_e_h_1, c_e, s4)) | (~node17(c_e_h_1, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5560,plain,
% 77.96/50.24 (~node16(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5559, 5517])).
% 77.96/50.24 tff(5561,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5562,plain,
% 77.96/50.24 ((node16(c_e_h_1, c_e, s4) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5))) <=> (node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5563,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s4) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5))))),
% 77.96/50.24 inference(monotonicity,[status(thm)],[5562])).
% 77.96/50.24 tff(5564,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s4) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(transitivity,[status(thm)],[5563, 5561])).
% 77.96/50.24 tff(5565,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s4) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | (~node19(c_e_h_1, c_e, s4, s5)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5566,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4) | (~node19(c_e_h_1, c_e, s4, s5))),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5565, 5564])).
% 77.96/50.24 tff(5567,plain,
% 77.96/50.24 (node14(c_e_h_1, c_e, s4, s5) | node15(c_e_h_1, c_e, s4, s5) | node16(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5566, 594, 5509])).
% 77.96/50.24 tff(5568,plain,
% 77.96/50.24 (node14(c_e_h_1, c_e, s4, s5)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5567, 5560, 5533])).
% 77.96/50.24 tff(5569,assumption,(node14(c_e_h_1, c_e, s4, s5)), introduced(assumption)).
% 77.96/50.24 tff(5570,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5571,plain,
% 77.96/50.24 (((~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5572,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4)))),
% 77.96/50.24 inference(monotonicity,[status(thm)],[5571])).
% 77.96/50.24 tff(5573,plain,
% 77.96/50.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4))),
% 77.96/50.24 inference(transitivity,[status(thm)],[5572, 5570])).
% 77.96/50.24 tff(5574,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5575,plain,
% 77.96/50.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | (~node14(c_e_h_1, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 77.96/50.24 tff(5576,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5575, 575, 5497, 5569, 5536])).
% 77.96/50.24 tff(5577,plain,((~node14(c_e_h_1, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5578,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5577, 5568, 5526, 5497])).
% 77.96/50.24 tff(5579,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s4) | (~m_c_h_element_v_out(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5580,plain,
% 77.96/50.24 (m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5579, 5496, 5452])).
% 77.96/50.24 tff(5581,plain,
% 77.96/50.24 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5582,plain,
% 77.96/50.24 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 77.96/50.24 inference(quant_inst,[status(thm)],[])).
% 77.96/50.24 tff(5583,plain,
% 77.96/50.24 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 77.96/50.24 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 77.96/50.24 tff(5584,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5583, 4785, 5580, 5450])).
% 77.96/50.24 tff(5585,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5586,plain,
% 77.96/50.24 (m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5585, 5349, 5348])).
% 77.96/50.24 tff(5587,plain,
% 77.96/50.24 (~node21(c_e_h_1, c_i, s2, s3)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5108, 5586])).
% 77.96/50.24 tff(5588,plain,
% 77.96/50.24 (node22(c_e_h_1, c_i, s2, s3)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5113, 5587])).
% 77.96/50.24 tff(5589,plain,
% 77.96/50.24 ($false),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5117, 437, 5586, 5588, 5347])).
% 77.96/50.24 tff(5590,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s2) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.24 tff(5591,plain,
% 77.96/50.24 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)),
% 77.96/50.24 inference(unit_resolution,[status(thm)],[5590, 4791])).
% 77.96/50.24 tff(5592,plain,
% 77.96/50.24 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))),
% 77.96/50.24 inference(rewrite,[status(thm)],[])).
% 77.96/50.24 tff(5593,plain,
% 77.96/50.24 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5594,plain,
% 77.96/50.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5593, 5592])).
% 77.96/50.25 tff(5595,plain,
% 77.96/50.25 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5594, 3886, 5591])).
% 77.96/50.25 tff(5596,plain,
% 77.96/50.25 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5597,plain,
% 77.96/50.25 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5598,plain,
% 77.96/50.25 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 77.96/50.25 tff(5599,plain,
% 77.96/50.25 (~node9(c_e_h_1, c_m, s6)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5598, 238, 5595])).
% 77.96/50.25 tff(5600,assumption,(~node9(c_e_h_1, c_m, s6)), introduced(assumption)).
% 77.96/50.25 tff(5601,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)), introduced(assumption)).
% 77.96/50.25 tff(5602,assumption,(node10(c_e_h_1, c_m, s6, s7)), introduced(assumption)).
% 77.96/50.25 tff(5603,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7)))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5604,plain,
% 77.96/50.25 ((node9(c_e_h_1, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node10(c_e_h_1, c_m, s6, s7))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7)))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5605,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node10(c_e_h_1, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7))))),
% 77.96/50.25 inference(monotonicity,[status(thm)],[5604])).
% 77.96/50.25 tff(5606,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node10(c_e_h_1, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7)))),
% 77.96/50.25 inference(transitivity,[status(thm)],[5605, 5603])).
% 77.96/50.25 tff(5607,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node10(c_e_h_1, c_m, s6, s7)))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5608,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6) | (~node10(c_e_h_1, c_m, s6, s7))),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 77.96/50.25 tff(5609,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5608, 252, 5601, 5602, 5600])).
% 77.96/50.25 tff(5610,plain,((~node10(c_e_h_1, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | node9(c_e_h_1, c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5611,plain,
% 77.96/50.25 (~node10(c_e_h_1, c_m, s6, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5610, 5601, 5600])).
% 77.96/50.25 tff(5612,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_1, c_m, s6, s7) | node11(c_e_h_1, c_m, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_1, c_m, s6, s7) | node11(c_e_h_1, c_m, s6, s7))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5613,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_1, c_m, s6, s7) | node11(c_e_h_1, c_m, s6, s7))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5614,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_1, c_m, s6, s7) | node11(c_e_h_1, c_m, s6, s7)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 77.96/50.25 tff(5615,plain,
% 77.96/50.25 (node10(c_e_h_1, c_m, s6, s7) | node11(c_e_h_1, c_m, s6, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5614, 193, 1685])).
% 77.96/50.25 tff(5616,plain,
% 77.96/50.25 (node11(c_e_h_1, c_m, s6, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5615, 5611])).
% 77.96/50.25 tff(5617,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)), introduced(assumption)).
% 77.96/50.25 tff(5618,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node11(c_e_h_1, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node11(c_e_h_1, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5619,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node11(c_e_h_1, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5620,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | (~node11(c_e_h_1, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 77.96/50.25 tff(5621,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5620, 282, 5601, 5617, 5616])).
% 77.96/50.25 tff(5622,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6) | node9(c_e_h_1, c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5623,plain,
% 77.96/50.25 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5622, 5259, 5599])).
% 77.96/50.25 tff(5624,plain,
% 77.96/50.25 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5625,plain,
% 77.96/50.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5626,plain,
% 77.96/50.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 77.96/50.25 tff(5627,plain,
% 77.96/50.25 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5626, 3838, 5623])).
% 77.96/50.25 tff(5628,plain,
% 77.96/50.25 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s7))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5629,plain,
% 77.96/50.25 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s7))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5630,plain,
% 77.96/50.25 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s7)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 77.96/50.25 tff(5631,plain,
% 77.96/50.25 (~node20(c_e_h_1, c_l, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5630, 334, 5627])).
% 77.96/50.25 tff(5632,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s8)), introduced(assumption)).
% 77.96/50.25 tff(5633,assumption,(~node20(c_e_h_1, c_l, s7)), introduced(assumption)).
% 77.96/50.25 tff(5634,assumption,(node21(c_e_h_1, c_l, s7, s8)), introduced(assumption)).
% 77.96/50.25 tff(5635,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node21(c_e_h_1, c_l, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node21(c_e_h_1, c_l, s7, s8)))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5636,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node21(c_e_h_1, c_l, s7, s8)))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5637,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node21(c_e_h_1, c_l, s7, s8))),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 77.96/50.25 tff(5638,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5637, 348, 5634, 5632, 5633])).
% 77.96/50.25 tff(5639,plain,((~node21(c_e_h_1, c_l, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | node20(c_e_h_1, c_l, s7)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5640,plain,
% 77.96/50.25 (~node21(c_e_h_1, c_l, s7, s8)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5639, 5632, 5633])).
% 77.96/50.25 tff(5641,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_l, s7, s8) | node22(c_e_h_1, c_l, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_l, s7, s8) | node22(c_e_h_1, c_l, s7, s8))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5642,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_l, s7, s8) | node22(c_e_h_1, c_l, s7, s8))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5643,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_l, s7, s8) | node22(c_e_h_1, c_l, s7, s8)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 77.96/50.25 tff(5644,plain,
% 77.96/50.25 (node21(c_e_h_1, c_l, s7, s8) | node22(c_e_h_1, c_l, s7, s8)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5643, 383, 2456])).
% 77.96/50.25 tff(5645,plain,
% 77.96/50.25 (node22(c_e_h_1, c_l, s7, s8)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5644, 5640])).
% 77.96/50.25 tff(5646,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node22(c_e_h_1, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node22(c_e_h_1, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5647,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node22(c_e_h_1, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5648,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | (~node22(c_e_h_1, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 77.96/50.25 tff(5649,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5648, 437, 5645, 5632, 5293])).
% 77.96/50.25 tff(5650,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7) | node20(c_e_h_1, c_l, s7)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5651,plain,
% 77.96/50.25 ((~m_and_h_gate_v_out(c_e_h_1, c_l, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s7)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5650, 5631])).
% 77.96/50.25 tff(5652,plain,
% 77.96/50.25 (~m_and_h_gate_v_out(c_e_h_1, c_l, s8)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5651, 5291])).
% 77.96/50.25 tff(5653,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s8)), introduced(assumption)).
% 77.96/50.25 tff(5654,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s8)), introduced(assumption)).
% 77.96/50.25 tff(5655,plain,
% 77.96/50.25 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5656,plain,
% 77.96/50.25 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5657,plain,
% 77.96/50.25 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 77.96/50.25 tff(5658,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5657, 1835, 5654, 5653])).
% 77.96/50.25 tff(5659,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5660,plain,
% 77.96/50.25 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5659, 5652])).
% 77.96/50.25 tff(5661,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s8)), introduced(assumption)).
% 77.96/50.25 tff(5662,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s8)), introduced(assumption)).
% 77.96/50.25 tff(5663,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s9)), introduced(assumption)).
% 77.96/50.25 tff(5664,assumption,(node5(c_e_h_1, c_j, s8, s9)), introduced(assumption)).
% 77.96/50.25 tff(5665,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5666,plain,
% 77.96/50.25 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5667,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8)))),
% 77.96/50.25 inference(monotonicity,[status(thm)],[5666])).
% 77.96/50.25 tff(5668,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8))),
% 77.96/50.25 inference(transitivity,[status(thm)],[5667, 5665])).
% 77.96/50.25 tff(5669,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5670,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | (~node5(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8)),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 77.96/50.25 tff(5671,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5670, 1888, 5663, 5664, 5661, 5662])).
% 77.96/50.25 tff(5672,plain,((~node5(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5673,plain,
% 77.96/50.25 (~node5(c_e_h_1, c_j, s8, s9)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5672, 5663, 5662, 5661])).
% 77.96/50.25 tff(5674,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s8)), introduced(assumption)).
% 77.96/50.25 tff(5675,assumption,(node6(c_e_h_1, c_j, s8, s9)), introduced(assumption)).
% 77.96/50.25 tff(5676,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9)))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5677,plain,
% 77.96/50.25 (((~node6(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9)))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5678,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9))))),
% 77.96/50.25 inference(monotonicity,[status(thm)],[5677])).
% 77.96/50.25 tff(5679,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9)))),
% 77.96/50.25 inference(transitivity,[status(thm)],[5678, 5676])).
% 77.96/50.25 tff(5680,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))),
% 77.96/50.25 inference(quant_inst,[status(thm)],[])).
% 77.96/50.25 tff(5681,plain,
% 77.96/50.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~node6(c_e_h_1, c_j, s8, s9))),
% 77.96/50.25 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 77.96/50.25 tff(5682,plain,
% 77.96/50.25 ($false),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5681, 1851, 5674, 5663, 5675])).
% 77.96/50.25 tff(5683,plain,((~node6(c_e_h_1, c_j, s8, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.25 tff(5684,plain,
% 77.96/50.25 (~node6(c_e_h_1, c_j, s8, s9)),
% 77.96/50.25 inference(unit_resolution,[status(thm)],[5683, 5663, 5674])).
% 77.96/50.25 tff(5685,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5686,plain,
% 77.96/50.25 ((node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9) | (~trans(s8, s9))) <=> ((~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9))),
% 77.96/50.25 inference(rewrite,[status(thm)],[])).
% 77.96/50.25 tff(5687,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9)))),
% 77.96/50.25 inference(monotonicity,[status(thm)],[5686])).
% 77.96/50.25 tff(5688,plain,
% 77.96/50.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9))),
% 77.96/50.26 inference(transitivity,[status(thm)],[5687, 5685])).
% 77.96/50.26 tff(5689,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9) | (~trans(s8, s9)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5690,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 77.96/50.26 tff(5691,plain,
% 77.96/50.26 (node6(c_e_h_1, c_j, s8, s9) | node5(c_e_h_1, c_j, s8, s9)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5690, 1870, 3713])).
% 77.96/50.26 tff(5692,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5691, 5684, 5673])).
% 77.96/50.26 tff(5693,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | m_or_h_gate_v_in1(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5694,plain,
% 77.96/50.26 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8) | m_or_h_gate_v_in2(c_e_h_1, c_j, s8)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5693, 5660])).
% 77.96/50.26 tff(5695,plain,
% 77.96/50.26 (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5694, 5331, 3749])).
% 77.96/50.26 tff(5696,plain,
% 77.96/50.26 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5697,plain,
% 77.96/50.26 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5698,plain,
% 77.96/50.26 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 77.96/50.26 tff(5699,plain,
% 77.96/50.26 (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5698, 4673, 2912])).
% 77.96/50.26 tff(5700,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s4)), introduced(assumption)).
% 77.96/50.26 tff(5701,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s3)), introduced(assumption)).
% 77.96/50.26 tff(5702,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s3)), introduced(assumption)).
% 77.96/50.26 tff(5703,assumption,(node15(c_e_h_1, c_h, s3, s4)), introduced(assumption)).
% 77.96/50.26 tff(5704,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node15(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node15(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5705,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node15(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5706,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node15(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 77.96/50.26 tff(5707,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5706, 612, 5700, 5702, 5703])).
% 77.96/50.26 tff(5708,plain,((~node15(c_e_h_1, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5709,plain,
% 77.96/50.26 (~node15(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5708, 5702, 5700])).
% 77.96/50.26 tff(5710,assumption,(~node15(c_e_h_1, c_h, s3, s4)), introduced(assumption)).
% 77.96/50.26 tff(5711,assumption,(node14(c_e_h_1, c_h, s3, s4)), introduced(assumption)).
% 77.96/50.26 tff(5712,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5713,plain,
% 77.96/50.26 (((~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5714,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)))),
% 77.96/50.26 inference(monotonicity,[status(thm)],[5713])).
% 77.96/50.26 tff(5715,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(transitivity,[status(thm)],[5714, 5712])).
% 77.96/50.26 tff(5716,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5717,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | (~node14(c_e_h_1, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 77.96/50.26 tff(5718,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5717, 575, 5700, 5711, 5701])).
% 77.96/50.26 tff(5719,plain,((~node14(c_e_h_1, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5720,plain,
% 77.96/50.26 (~node14(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5719, 5701, 5700])).
% 77.96/50.26 tff(5721,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s3)), introduced(assumption)).
% 77.96/50.26 tff(5722,plain,
% 77.96/50.26 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5723,plain,
% 77.96/50.26 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5724,plain,
% 77.96/50.26 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | m_c_h_element_v_in2(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5723, 5722])).
% 77.96/50.26 tff(5725,plain,
% 77.96/50.26 ((~node16(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5724, 559, 5721])).
% 77.96/50.26 tff(5726,plain,
% 77.96/50.26 (~node16(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5725, 5701])).
% 77.96/50.26 tff(5727,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5728,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5729,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 77.96/50.26 tff(5730,plain,
% 77.96/50.26 (node19(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5729, 494, 711])).
% 77.96/50.26 tff(5731,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5732,plain,
% 77.96/50.26 ((node16(c_e_h_1, c_h, s3) | node14(c_e_h_1, c_h, s3, s4) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4))) <=> (node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5733,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s3) | node14(c_e_h_1, c_h, s3, s4) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(monotonicity,[status(thm)],[5732])).
% 77.96/50.26 tff(5734,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s3) | node14(c_e_h_1, c_h, s3, s4) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(transitivity,[status(thm)],[5733, 5731])).
% 77.96/50.26 tff(5735,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s3) | node14(c_e_h_1, c_h, s3, s4) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5736,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)) | node14(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 77.96/50.26 tff(5737,plain,
% 77.96/50.26 (node16(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | node14(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5736, 594, 5730])).
% 77.96/50.26 tff(5738,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5737, 5726, 5720, 5710])).
% 77.96/50.26 tff(5739,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s3) | node15(c_e_h_1, c_h, s3, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5740,plain,
% 77.96/50.26 (m_c_h_element_v_in2(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5739, 5709, 5701, 5700])).
% 77.96/50.26 tff(5741,assumption,(node18(c_e_h_1, c_h, s3, s4)), introduced(assumption)).
% 77.96/50.26 tff(5742,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3) | (~node18(c_e_h_1, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3) | (~node18(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5743,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3) | (~node18(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5744,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3) | (~node18(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 77.96/50.26 tff(5745,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5744, 481, 5700, 5702, 5741])).
% 77.96/50.26 tff(5746,plain,((~node18(c_e_h_1, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5747,plain,
% 77.96/50.26 (~node18(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5746, 5702, 5700])).
% 77.96/50.26 tff(5748,plain,
% 77.96/50.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s3) | node18(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s3) | node18(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5749,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s3) | node18(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5750,plain,
% 77.96/50.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s3) | node18(c_e_h_1, c_h, s3, s4) | (~node19(c_e_h_1, c_h, s3, s4))),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 77.96/50.26 tff(5751,plain,
% 77.96/50.26 (node17(c_e_h_1, c_h, s3) | node18(c_e_h_1, c_h, s3, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5750, 508, 5730])).
% 77.96/50.26 tff(5752,plain,
% 77.96/50.26 (node17(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5751, 5747])).
% 77.96/50.26 tff(5753,plain,
% 77.96/50.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5754,plain,
% 77.96/50.26 ((m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | (~node17(c_e_h_1, c_h, s3))) <=> ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5755,plain,
% 77.96/50.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | (~node17(c_e_h_1, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)))),
% 77.96/50.26 inference(monotonicity,[status(thm)],[5754])).
% 77.96/50.26 tff(5756,plain,
% 77.96/50.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | (~node17(c_e_h_1, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(transitivity,[status(thm)],[5755, 5753])).
% 77.96/50.26 tff(5757,plain,
% 77.96/50.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | (~node17(c_e_h_1, c_h, s3)))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5758,plain,
% 77.96/50.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 77.96/50.26 tff(5759,plain,
% 77.96/50.26 ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5758, 1172, 5701])).
% 77.96/50.26 tff(5760,plain,
% 77.96/50.26 ($false),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5759, 5752, 5740])).
% 77.96/50.26 tff(5761,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s3) | m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.26 tff(5762,plain,
% 77.96/50.26 (m_c_h_element_v_in1(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5761, 5419])).
% 77.96/50.26 tff(5763,plain,
% 77.96/50.26 (~m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 77.96/50.26 inference(unit_resolution,[status(thm)],[5762, 5699])).
% 77.96/50.26 tff(5764,plain,
% 77.96/50.26 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 77.96/50.26 inference(rewrite,[status(thm)],[])).
% 77.96/50.26 tff(5765,plain,
% 77.96/50.26 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 77.96/50.26 inference(quant_inst,[status(thm)],[])).
% 77.96/50.26 tff(5766,plain,
% 77.96/50.26 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s4)) | m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 77.96/50.26 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 77.96/50.27 tff(5767,plain,
% 77.96/50.27 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5766, 8, 5763])).
% 77.96/50.27 tff(5768,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s4))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5769,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s4))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5770,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 77.96/50.27 tff(5771,plain,
% 77.96/50.27 (~node20(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5770, 22, 5767])).
% 77.96/50.27 tff(5772,plain,
% 77.96/50.27 ((~m_and_h_gate_v_out(c_e_h_1, c_i, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5449, 5427])).
% 77.96/50.27 tff(5773,plain,
% 77.96/50.27 (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5772, 5120])).
% 77.96/50.27 tff(5774,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s4)), introduced(assumption)).
% 77.96/50.27 tff(5775,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s5)), introduced(assumption)).
% 77.96/50.27 tff(5776,assumption,(node22(c_e_h_1, c_i, s4, s5)), introduced(assumption)).
% 77.96/50.27 tff(5777,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node22(c_e_h_1, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node22(c_e_h_1, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5778,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node22(c_e_h_1, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5779,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node22(c_e_h_1, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 77.96/50.27 tff(5780,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5779, 437, 5776, 5774, 5775])).
% 77.96/50.27 tff(5781,plain,((~node22(c_e_h_1, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5782,plain,
% 77.96/50.27 (~node22(c_e_h_1, c_i, s4, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5781, 5775, 5774])).
% 77.96/50.27 tff(5783,assumption,(~node20(c_e_h_1, c_i, s4)), introduced(assumption)).
% 77.96/50.27 tff(5784,assumption,(node21(c_e_h_1, c_i, s4, s5)), introduced(assumption)).
% 77.96/50.27 tff(5785,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5786,plain,
% 77.96/50.27 ((node20(c_e_h_1, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node21(c_e_h_1, c_i, s4, s5))) <=> (node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5787,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node21(c_e_h_1, c_i, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5))))),
% 77.96/50.27 inference(monotonicity,[status(thm)],[5786])).
% 77.96/50.27 tff(5788,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node21(c_e_h_1, c_i, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)))),
% 77.96/50.27 inference(transitivity,[status(thm)],[5787, 5785])).
% 77.96/50.27 tff(5789,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | (~node21(c_e_h_1, c_i, s4, s5)))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5790,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s4) | (~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 77.96/50.27 tff(5791,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5790, 348, 5784, 5775, 5783])).
% 77.96/50.27 tff(5792,plain,((~node21(c_e_h_1, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | node20(c_e_h_1, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5793,plain,
% 77.96/50.27 (~node21(c_e_h_1, c_i, s4, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5792, 5775, 5783])).
% 77.96/50.27 tff(5794,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_i, s4, s5) | node22(c_e_h_1, c_i, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_i, s4, s5) | node22(c_e_h_1, c_i, s4, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5795,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_i, s4, s5) | node22(c_e_h_1, c_i, s4, s5))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5796,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_i, s4, s5) | node22(c_e_h_1, c_i, s4, s5)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 77.96/50.27 tff(5797,plain,
% 77.96/50.27 (node21(c_e_h_1, c_i, s4, s5) | node22(c_e_h_1, c_i, s4, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5796, 383, 930])).
% 77.96/50.27 tff(5798,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5797, 5793, 5782])).
% 77.96/50.27 tff(5799,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | node20(c_e_h_1, c_i, s4) | m_and_h_gate_v_out(c_e_h_1, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5800,plain,
% 77.96/50.27 ((~m_and_h_gate_v_out(c_e_h_1, c_i, s5)) | node20(c_e_h_1, c_i, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5799, 5773])).
% 77.96/50.27 tff(5801,plain,
% 77.96/50.27 (~m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5800, 5771])).
% 77.96/50.27 tff(5802,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5803,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s5)), introduced(assumption)).
% 77.96/50.27 tff(5804,plain,
% 77.96/50.27 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5805,plain,
% 77.96/50.27 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5806,plain,
% 77.96/50.27 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5805, 5804])).
% 77.96/50.27 tff(5807,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5806, 4785, 5803, 5802])).
% 77.96/50.27 tff(5808,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5809,plain,
% 77.96/50.27 (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5808, 5801])).
% 77.96/50.27 tff(5810,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s4)), introduced(assumption)).
% 77.96/50.27 tff(5811,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5583, 4785, 5810, 5774])).
% 77.96/50.27 tff(5812,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5813,plain,
% 77.96/50.27 (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5812, 5773])).
% 77.96/50.27 tff(5814,plain,
% 77.96/50.27 (~m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5189, 4882, 5128])).
% 77.96/50.27 tff(5815,plain,
% 77.96/50.27 (~m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5579, 5814, 5813])).
% 77.96/50.27 tff(5816,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s6)), introduced(assumption)).
% 77.96/50.27 tff(5817,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5818,assumption,(node18(c_e_h_1, c_e, s5, s6)), introduced(assumption)).
% 77.96/50.27 tff(5819,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5820,plain,
% 77.96/50.27 (((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~node18(c_e_h_1, c_e, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5821,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~node18(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6))))),
% 77.96/50.27 inference(monotonicity,[status(thm)],[5820])).
% 77.96/50.27 tff(5822,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~node18(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.27 inference(transitivity,[status(thm)],[5821, 5819])).
% 77.96/50.27 tff(5823,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~node18(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5824,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node18(c_e_h_1, c_e, s5, s6))),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 77.96/50.27 tff(5825,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5824, 481, 5817, 5816, 5818])).
% 77.96/50.27 tff(5826,plain,((~node18(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5827,plain,
% 77.96/50.27 (~node18(c_e_h_1, c_e, s5, s6)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5826, 5816, 5817])).
% 77.96/50.27 tff(5828,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_e, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_e, s5, s6))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5829,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_e, s5, s6))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5830,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_e, s5, s6)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 77.96/50.27 tff(5831,plain,
% 77.96/50.27 (node19(c_e_h_1, c_e, s5, s6)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5830, 494, 1343])).
% 77.96/50.27 tff(5832,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5833,plain,
% 77.96/50.27 ((node17(c_e_h_1, c_e, s5) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6))) <=> (node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5834,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s5) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(monotonicity,[status(thm)],[5833])).
% 77.96/50.27 tff(5835,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s5) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(transitivity,[status(thm)],[5834, 5832])).
% 77.96/50.27 tff(5836,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s5) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5837,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node17(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 77.96/50.27 tff(5838,plain,
% 77.96/50.27 (node18(c_e_h_1, c_e, s5, s6) | node17(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5837, 508, 5831])).
% 77.96/50.27 tff(5839,plain,
% 77.96/50.27 (node17(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5838, 5827])).
% 77.96/50.27 tff(5840,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5841,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5842,plain,
% 77.96/50.27 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5))) <=> ((~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5843,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(monotonicity,[status(thm)],[5842])).
% 77.96/50.27 tff(5844,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(transitivity,[status(thm)],[5843, 5841])).
% 77.96/50.27 tff(5845,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5846,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 77.96/50.27 tff(5847,plain,
% 77.96/50.27 ((~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5846, 541, 5840])).
% 77.96/50.27 tff(5848,plain,
% 77.96/50.27 (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5847, 5839])).
% 77.96/50.27 tff(5849,assumption,(node15(c_e_h_1, c_e, s5, s6)), introduced(assumption)).
% 77.96/50.27 tff(5850,plain,
% 77.96/50.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node15(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node15(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5851,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node15(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5852,plain,
% 77.96/50.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | (~node15(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 77.96/50.27 tff(5853,plain,
% 77.96/50.27 ($false),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5852, 612, 5817, 5816, 5849])).
% 77.96/50.27 tff(5854,plain,((~node15(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.27 tff(5855,plain,
% 77.96/50.27 (~node15(c_e_h_1, c_e, s5, s6)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5854, 5816, 5817])).
% 77.96/50.27 tff(5856,assumption,(node17(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5857,assumption,(node16(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5858,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s5)), introduced(assumption)).
% 77.96/50.27 tff(5859,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5860,plain,
% 77.96/50.27 ((m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(rewrite,[status(thm)],[])).
% 77.96/50.27 tff(5861,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5))))),
% 77.96/50.27 inference(monotonicity,[status(thm)],[5860])).
% 77.96/50.27 tff(5862,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(transitivity,[status(thm)],[5861, 5859])).
% 77.96/50.27 tff(5863,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5)))),
% 77.96/50.27 inference(quant_inst,[status(thm)],[])).
% 77.96/50.27 tff(5864,plain,
% 77.96/50.27 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node17(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 77.96/50.27 tff(5865,plain,
% 77.96/50.27 (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5864, 1172, 5856])).
% 77.96/50.27 tff(5866,plain,
% 77.96/50.27 (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.27 inference(unit_resolution,[status(thm)],[5865, 5858])).
% 77.96/50.27 tff(5867,plain,
% 77.96/50.27 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5868,plain,
% 77.96/50.28 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5869,plain,
% 77.96/50.28 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s5)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 77.96/50.28 tff(5870,plain,
% 77.96/50.28 (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5869, 559, 5857])).
% 77.96/50.28 tff(5871,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5870, 5866, 5858])).
% 77.96/50.28 tff(5872,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node16(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5873,plain,
% 77.96/50.28 (m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5872, 5857, 5856])).
% 77.96/50.28 tff(5874,plain,
% 77.96/50.28 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5846, 541, 5856])).
% 77.96/50.28 tff(5875,plain,
% 77.96/50.28 (m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5874, 5873])).
% 77.96/50.28 tff(5876,plain,
% 77.96/50.28 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5877,plain,
% 77.96/50.28 (((~node16(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5878,plain,
% 77.96/50.28 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5))))),
% 77.96/50.28 inference(monotonicity,[status(thm)],[5877])).
% 77.96/50.28 tff(5879,plain,
% 77.96/50.28 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5)))),
% 77.96/50.28 inference(transitivity,[status(thm)],[5878, 5876])).
% 77.96/50.28 tff(5880,plain,
% 77.96/50.28 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5881,plain,
% 77.96/50.28 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)) | (~node16(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 77.96/50.28 tff(5882,plain,
% 77.96/50.28 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5881, 1192, 5857])).
% 77.96/50.28 tff(5883,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5882, 5875, 5873])).
% 77.96/50.28 tff(5884,plain,((~node16(c_e_h_1, c_e, s5)) | (~node17(c_e_h_1, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5885,plain,
% 77.96/50.28 (~node16(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5884, 5839])).
% 77.96/50.28 tff(5886,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5887,plain,
% 77.96/50.28 ((node16(c_e_h_1, c_e, s5) | node14(c_e_h_1, c_e, s5, s6) | node15(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6))) <=> (node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5888,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s5) | node14(c_e_h_1, c_e, s5, s6) | node15(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5)))),
% 77.96/50.28 inference(monotonicity,[status(thm)],[5887])).
% 77.96/50.28 tff(5889,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s5) | node14(c_e_h_1, c_e, s5, s6) | node15(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5))),
% 77.96/50.28 inference(transitivity,[status(thm)],[5888, 5886])).
% 77.96/50.28 tff(5890,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s5) | node14(c_e_h_1, c_e, s5, s6) | node15(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5891,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | (~node19(c_e_h_1, c_e, s5, s6)) | node16(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 77.96/50.28 tff(5892,plain,
% 77.96/50.28 (node15(c_e_h_1, c_e, s5, s6) | node14(c_e_h_1, c_e, s5, s6) | node16(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5891, 594, 5831])).
% 77.96/50.28 tff(5893,plain,
% 77.96/50.28 (node14(c_e_h_1, c_e, s5, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5892, 5885, 5855])).
% 77.96/50.28 tff(5894,assumption,(node14(c_e_h_1, c_e, s5, s6)), introduced(assumption)).
% 77.96/50.28 tff(5895,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5896,plain,
% 77.96/50.28 (((~node14(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5897,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6))))),
% 77.96/50.28 inference(monotonicity,[status(thm)],[5896])).
% 77.96/50.28 tff(5898,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6)))),
% 77.96/50.28 inference(transitivity,[status(thm)],[5897, 5895])).
% 77.96/50.28 tff(5899,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5900,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~node14(c_e_h_1, c_e, s5, s6))),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 77.96/50.28 tff(5901,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5900, 575, 5816, 5894, 5858])).
% 77.96/50.28 tff(5902,plain,((~node14(c_e_h_1, c_e, s5, s6)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5903,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5902, 5893, 5848, 5816])).
% 77.96/50.28 tff(5904,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5905,plain,
% 77.96/50.28 ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5904, 5815])).
% 77.96/50.28 tff(5906,plain,
% 77.96/50.28 (~m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5905, 5809])).
% 77.96/50.28 tff(5907,plain,
% 77.96/50.28 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5908,plain,
% 77.96/50.28 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5909,plain,
% 77.96/50.28 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 77.96/50.28 tff(5910,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5909, 3964])).
% 77.96/50.28 tff(5911,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5910, 5906])).
% 77.96/50.28 tff(5912,plain,
% 77.96/50.28 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5913,plain,
% 77.96/50.28 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5914,plain,
% 77.96/50.28 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 77.96/50.28 tff(5915,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5914, 3976])).
% 77.96/50.28 tff(5916,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5915, 5259])).
% 77.96/50.28 tff(5917,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)), introduced(assumption)).
% 77.96/50.28 tff(5918,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)), introduced(assumption)).
% 77.96/50.28 tff(5919,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)), introduced(assumption)).
% 77.96/50.28 tff(5920,assumption,(node10(c_e_h_1, c_n, s6, s7)), introduced(assumption)).
% 77.96/50.28 tff(5921,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5922,plain,
% 77.96/50.28 (((~node10(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5923,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7))))),
% 77.96/50.28 inference(monotonicity,[status(thm)],[5922])).
% 77.96/50.28 tff(5924,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(transitivity,[status(thm)],[5923, 5921])).
% 77.96/50.28 tff(5925,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5926,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)) | (~node10(c_e_h_1, c_n, s6, s7))),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 77.96/50.28 tff(5927,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5926, 160, 5919, 5918, 5917, 5920])).
% 77.96/50.28 tff(5928,plain,((~node10(c_e_h_1, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5929,plain,
% 77.96/50.28 (~node10(c_e_h_1, c_n, s6, s7)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5928, 5919, 5918, 5917])).
% 77.96/50.28 tff(5930,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)), introduced(assumption)).
% 77.96/50.28 tff(5931,assumption,(node11(c_e_h_1, c_n, s6, s7)), introduced(assumption)).
% 77.96/50.28 tff(5932,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5933,plain,
% 77.96/50.28 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~node11(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5934,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~node11(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7))))),
% 77.96/50.28 inference(monotonicity,[status(thm)],[5933])).
% 77.96/50.28 tff(5935,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~node11(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7)))),
% 77.96/50.28 inference(transitivity,[status(thm)],[5934, 5932])).
% 77.96/50.28 tff(5936,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~node11(c_e_h_1, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5937,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~node11(c_e_h_1, c_n, s6, s7))),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5936, 5935])).
% 77.96/50.28 tff(5938,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5937, 208, 5919, 5930, 5931])).
% 77.96/50.28 tff(5939,plain,((~node11(c_e_h_1, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5940,plain,
% 77.96/50.28 (~node11(c_e_h_1, c_n, s6, s7)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5939, 5919, 5930])).
% 77.96/50.28 tff(5941,plain,
% 77.96/50.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_1, c_n, s6, s7) | node11(c_e_h_1, c_n, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_1, c_n, s6, s7) | node11(c_e_h_1, c_n, s6, s7))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5942,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_1, c_n, s6, s7) | node11(c_e_h_1, c_n, s6, s7))),
% 77.96/50.28 inference(quant_inst,[status(thm)],[])).
% 77.96/50.28 tff(5943,plain,
% 77.96/50.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_1, c_n, s6, s7) | node11(c_e_h_1, c_n, s6, s7)),
% 77.96/50.28 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 77.96/50.28 tff(5944,plain,
% 77.96/50.28 (node10(c_e_h_1, c_n, s6, s7) | node11(c_e_h_1, c_n, s6, s7)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5943, 193, 1685])).
% 77.96/50.28 tff(5945,plain,
% 77.96/50.28 ($false),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5944, 5940, 5929])).
% 77.96/50.28 tff(5946,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.28 tff(5947,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6))),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5946, 5591, 5916])).
% 77.96/50.28 tff(5948,plain,
% 77.96/50.28 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 77.96/50.28 inference(unit_resolution,[status(thm)],[5947, 5911])).
% 77.96/50.28 tff(5949,plain,
% 77.96/50.28 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))),
% 77.96/50.28 inference(rewrite,[status(thm)],[])).
% 77.96/50.28 tff(5950,plain,
% 77.96/50.28 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5951,plain,
% 77.96/50.29 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 77.96/50.29 tff(5952,plain,
% 77.96/50.29 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5951, 3886, 5948])).
% 77.96/50.29 tff(5953,plain,
% 77.96/50.29 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5954,plain,
% 77.96/50.29 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5955,plain,
% 77.96/50.29 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 77.96/50.29 tff(5956,plain,
% 77.96/50.29 (~node9(c_e_h_1, c_m, s7)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5955, 238, 5952])).
% 77.96/50.29 tff(5957,assumption,(~node9(c_e_h_1, c_m, s7)), introduced(assumption)).
% 77.96/50.29 tff(5958,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)), introduced(assumption)).
% 77.96/50.29 tff(5959,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)), introduced(assumption)).
% 77.96/50.29 tff(5960,assumption,(node11(c_e_h_1, c_m, s7, s8)), introduced(assumption)).
% 77.96/50.29 tff(5961,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node11(c_e_h_1, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node11(c_e_h_1, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5962,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node11(c_e_h_1, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5963,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node11(c_e_h_1, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 77.96/50.29 tff(5964,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5963, 282, 5958, 5959, 5960])).
% 77.96/50.29 tff(5965,plain,((~node11(c_e_h_1, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(5966,plain,
% 77.96/50.29 (~node11(c_e_h_1, c_m, s7, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5965, 5959, 5958])).
% 77.96/50.29 tff(5967,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_1, c_m, s7, s8) | node11(c_e_h_1, c_m, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_1, c_m, s7, s8) | node11(c_e_h_1, c_m, s7, s8))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5968,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_1, c_m, s7, s8) | node11(c_e_h_1, c_m, s7, s8))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5969,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_1, c_m, s7, s8) | node11(c_e_h_1, c_m, s7, s8)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 77.96/50.29 tff(5970,plain,
% 77.96/50.29 (node10(c_e_h_1, c_m, s7, s8) | node11(c_e_h_1, c_m, s7, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5969, 193, 2456])).
% 77.96/50.29 tff(5971,plain,
% 77.96/50.29 (node10(c_e_h_1, c_m, s7, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5970, 5966])).
% 77.96/50.29 tff(5972,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node10(c_e_h_1, c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node10(c_e_h_1, c_m, s7, s8)))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5973,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node10(c_e_h_1, c_m, s7, s8)))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5974,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | (~node10(c_e_h_1, c_m, s7, s8))),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5973, 5972])).
% 77.96/50.29 tff(5975,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5974, 252, 5959, 5971, 5957])).
% 77.96/50.29 tff(5976,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | node9(c_e_h_1, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(5977,plain,
% 77.96/50.29 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)) | node9(c_e_h_1, c_m, s7)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5976, 5623])).
% 77.96/50.29 tff(5978,plain,
% 77.96/50.29 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5977, 5956])).
% 77.96/50.29 tff(5979,plain,
% 77.96/50.29 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5980,plain,
% 77.96/50.29 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5981,plain,
% 77.96/50.29 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 77.96/50.29 tff(5982,plain,
% 77.96/50.29 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5981, 3838, 5978])).
% 77.96/50.29 tff(5983,plain,
% 77.96/50.29 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s8))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5984,plain,
% 77.96/50.29 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s8))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5985,plain,
% 77.96/50.29 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s8)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 77.96/50.29 tff(5986,plain,
% 77.96/50.29 (~node20(c_e_h_1, c_l, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5985, 334, 5982])).
% 77.96/50.29 tff(5987,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s9)), introduced(assumption)).
% 77.96/50.29 tff(5988,assumption,(~node20(c_e_h_1, c_l, s8)), introduced(assumption)).
% 77.96/50.29 tff(5989,assumption,(node21(c_e_h_1, c_l, s8, s9)), introduced(assumption)).
% 77.96/50.29 tff(5990,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5991,plain,
% 77.96/50.29 ((node20(c_e_h_1, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node21(c_e_h_1, c_l, s8, s9))) <=> (node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(5992,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node21(c_e_h_1, c_l, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9))))),
% 77.96/50.29 inference(monotonicity,[status(thm)],[5991])).
% 77.96/50.29 tff(5993,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node21(c_e_h_1, c_l, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)))),
% 77.96/50.29 inference(transitivity,[status(thm)],[5992, 5990])).
% 77.96/50.29 tff(5994,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node21(c_e_h_1, c_l, s8, s9)))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(5995,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s8) | (~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9))),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 77.96/50.29 tff(5996,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5995, 348, 5989, 5987, 5988])).
% 77.96/50.29 tff(5997,plain,((~node21(c_e_h_1, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | node20(c_e_h_1, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(5998,plain,
% 77.96/50.29 (~node21(c_e_h_1, c_l, s8, s9)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[5997, 5987, 5988])).
% 77.96/50.29 tff(5999,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_l, s8, s9) | node22(c_e_h_1, c_l, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_l, s8, s9) | node22(c_e_h_1, c_l, s8, s9))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6000,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_l, s8, s9) | node22(c_e_h_1, c_l, s8, s9))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6001,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_l, s8, s9) | node22(c_e_h_1, c_l, s8, s9)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 77.96/50.29 tff(6002,plain,
% 77.96/50.29 (node21(c_e_h_1, c_l, s8, s9) | node22(c_e_h_1, c_l, s8, s9)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6001, 383, 3713])).
% 77.96/50.29 tff(6003,plain,
% 77.96/50.29 (node22(c_e_h_1, c_l, s8, s9)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6002, 5998])).
% 77.96/50.29 tff(6004,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node22(c_e_h_1, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node22(c_e_h_1, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6005,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node22(c_e_h_1, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6006,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | (~node22(c_e_h_1, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 77.96/50.29 tff(6007,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6006, 437, 6003, 5987, 5653])).
% 77.96/50.29 tff(6008,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8) | node20(c_e_h_1, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(6009,plain,
% 77.96/50.29 ((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s8)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6008, 5986])).
% 77.96/50.29 tff(6010,plain,
% 77.96/50.29 (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6009, 5652])).
% 77.96/50.29 tff(6011,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s9)), introduced(assumption)).
% 77.96/50.29 tff(6012,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s9)), introduced(assumption)).
% 77.96/50.29 tff(6013,plain,
% 77.96/50.29 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6014,plain,
% 77.96/50.29 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6015,plain,
% 77.96/50.29 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 77.96/50.29 tff(6016,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6015, 1835, 6012, 6011])).
% 77.96/50.29 tff(6017,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(6018,plain,
% 77.96/50.29 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6017, 6010])).
% 77.96/50.29 tff(6019,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)), introduced(assumption)).
% 77.96/50.29 tff(6020,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)), introduced(assumption)).
% 77.96/50.29 tff(6021,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s10)), introduced(assumption)).
% 77.96/50.29 tff(6022,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s9)), introduced(assumption)).
% 77.96/50.29 tff(6023,assumption,(node6(c_e_h_1, c_j, s9, s10)), introduced(assumption)).
% 77.96/50.29 tff(6024,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6025,plain,
% 77.96/50.29 (((~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6026,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10))))),
% 77.96/50.29 inference(monotonicity,[status(thm)],[6025])).
% 77.96/50.29 tff(6027,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 77.96/50.29 inference(transitivity,[status(thm)],[6026, 6024])).
% 77.96/50.29 tff(6028,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6029,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s9, s10))),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 77.96/50.29 tff(6030,plain,
% 77.96/50.29 ($false),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6029, 1851, 6023, 6022, 6021])).
% 77.96/50.29 tff(6031,plain,((~node6(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10))), inference(lemma,lemma(discharge,[]))).
% 77.96/50.29 tff(6032,plain,
% 77.96/50.29 (~node6(c_e_h_1, c_j, s9, s10)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6031, 6021, 6022])).
% 77.96/50.29 tff(6033,plain,
% 77.96/50.29 (succ(s9, s10) <=> succ(s9, s10)),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6034,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 77.96/50.29 tff(6035,plain,
% 77.96/50.29 (succ(s9, s10)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 77.96/50.29 tff(6036,plain,
% 77.96/50.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6037,plain,
% 77.96/50.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6038,plain,
% 77.96/50.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6037, 6036])).
% 77.96/50.29 tff(6039,plain,
% 77.96/50.29 (trans(s9, s10)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6038, 6035, 176])).
% 77.96/50.29 tff(6040,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6041,plain,
% 77.96/50.29 ((node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10) | (~trans(s9, s10))) <=> ((~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6042,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10)))),
% 77.96/50.29 inference(monotonicity,[status(thm)],[6041])).
% 77.96/50.29 tff(6043,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10))),
% 77.96/50.29 inference(transitivity,[status(thm)],[6042, 6040])).
% 77.96/50.29 tff(6044,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10) | (~trans(s9, s10)))),
% 77.96/50.29 inference(quant_inst,[status(thm)],[])).
% 77.96/50.29 tff(6045,plain,
% 77.96/50.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10)),
% 77.96/50.29 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 77.96/50.29 tff(6046,plain,
% 77.96/50.29 (node6(c_e_h_1, c_j, s9, s10) | node5(c_e_h_1, c_j, s9, s10)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6045, 1870, 6039])).
% 77.96/50.29 tff(6047,plain,
% 77.96/50.29 (node5(c_e_h_1, c_j, s9, s10)),
% 77.96/50.29 inference(unit_resolution,[status(thm)],[6046, 6032])).
% 77.96/50.29 tff(6048,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6049,plain,
% 77.96/50.29 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s9) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))),
% 77.96/50.29 inference(rewrite,[status(thm)],[])).
% 77.96/50.29 tff(6050,plain,
% 77.96/50.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s9) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9)))),
% 77.96/50.29 inference(monotonicity,[status(thm)],[6049])).
% 77.96/50.29 tff(6051,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s9) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))),
% 78.04/50.30 inference(transitivity,[status(thm)],[6050, 6048])).
% 78.04/50.30 tff(6052,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s9) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6053,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 78.04/50.30 tff(6054,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6053, 1888, 6047, 6021, 6020, 6019])).
% 78.04/50.30 tff(6055,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9) | m_or_h_gate_v_out(c_e_h_1, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6056,plain,
% 78.04/50.30 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9) | m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6055, 6018])).
% 78.04/50.30 tff(6057,plain,
% 78.04/50.30 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6056, 5695])).
% 78.04/50.30 tff(6058,plain,
% 78.04/50.30 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6057, 3736])).
% 78.04/50.30 tff(6059,assumption,(m_c_h_element_v_in2(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.04/50.30 tff(6060,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s10)), introduced(assumption)).
% 78.04/50.30 tff(6061,plain,
% 78.04/50.30 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6062,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6063,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 78.04/50.30 tff(6064,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6063, 1740, 6060, 6059])).
% 78.04/50.30 tff(6065,plain,((~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6066,plain,
% 78.04/50.30 (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6065, 6058])).
% 78.04/50.30 tff(6067,assumption,(m_c_h_element_v_in2(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.30 tff(6068,plain,
% 78.04/50.30 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6069,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6070,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 78.04/50.30 tff(6071,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6070, 1740, 6022, 6067])).
% 78.04/50.30 tff(6072,plain,((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6073,plain,
% 78.04/50.30 (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6072, 5695])).
% 78.04/50.30 tff(6074,plain,
% 78.04/50.30 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6075,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6076,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)) | m_or_h_gate_v_out(c_e_h_1, c_j, s3)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 78.04/50.30 tff(6077,plain,
% 78.04/50.30 (~m_c_h_element_v_in2(c_e_h_1, c_h, s3)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6076, 1740, 4198])).
% 78.04/50.30 tff(6078,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.30 tff(6079,plain,
% 78.04/50.30 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6080,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6081,plain,
% 78.04/50.30 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 78.04/50.30 tff(6082,plain,
% 78.04/50.30 (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6081, 1740, 4430])).
% 78.04/50.30 tff(6083,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.04/50.30 tff(6084,assumption,(node18(c_e_h_1, c_h, s4, s5)), introduced(assumption)).
% 78.04/50.30 tff(6085,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6086,plain,
% 78.04/50.30 (((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~node18(c_e_h_1, c_h, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6087,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~node18(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5))))),
% 78.04/50.30 inference(monotonicity,[status(thm)],[6086])).
% 78.04/50.30 tff(6088,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~node18(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(transitivity,[status(thm)],[6087, 6085])).
% 78.04/50.30 tff(6089,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~node18(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6090,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 78.04/50.30 tff(6091,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6090, 481, 6083, 6078, 6084])).
% 78.04/50.30 tff(6092,plain,((~node18(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6093,plain,
% 78.04/50.30 (~node18(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6092, 6078, 6083])).
% 78.04/50.30 tff(6094,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6095,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6096,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6095, 6094])).
% 78.04/50.30 tff(6097,plain,
% 78.04/50.30 (node19(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6096, 494, 930])).
% 78.04/50.30 tff(6098,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6099,plain,
% 78.04/50.30 ((node17(c_e_h_1, c_h, s4) | node18(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5))) <=> (node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6100,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s4) | node18(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(monotonicity,[status(thm)],[6099])).
% 78.04/50.30 tff(6101,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s4) | node18(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5))),
% 78.04/50.30 inference(transitivity,[status(thm)],[6100, 6098])).
% 78.04/50.30 tff(6102,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s4) | node18(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6103,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s4) | (~node19(c_e_h_1, c_h, s4, s5)) | node18(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6102, 6101])).
% 78.04/50.30 tff(6104,plain,
% 78.04/50.30 (node17(c_e_h_1, c_h, s4) | node18(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6103, 508, 6097])).
% 78.04/50.30 tff(6105,plain,
% 78.04/50.30 (node17(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6104, 6093])).
% 78.04/50.30 tff(6106,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.04/50.30 tff(6107,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6108,plain,
% 78.04/50.30 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6109,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))))),
% 78.04/50.30 inference(monotonicity,[status(thm)],[6108])).
% 78.04/50.30 tff(6110,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(transitivity,[status(thm)],[6109, 6107])).
% 78.04/50.30 tff(6111,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6112,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 78.04/50.30 tff(6113,plain,
% 78.04/50.30 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6112, 541, 6106])).
% 78.04/50.30 tff(6114,plain,
% 78.04/50.30 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6113, 6105])).
% 78.04/50.30 tff(6115,assumption,(node15(c_e_h_1, c_h, s4, s5)), introduced(assumption)).
% 78.04/50.30 tff(6116,plain,
% 78.04/50.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node15(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node15(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6117,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node15(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6118,plain,
% 78.04/50.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node15(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 78.04/50.30 tff(6119,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6118, 612, 6083, 6078, 6115])).
% 78.04/50.30 tff(6120,plain,((~node15(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6121,plain,
% 78.04/50.30 (~node15(c_e_h_1, c_h, s4, s5)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6120, 6078, 6083])).
% 78.04/50.30 tff(6122,assumption,(node17(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.04/50.30 tff(6123,assumption,(node16(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.04/50.30 tff(6124,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.04/50.30 tff(6125,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6126,plain,
% 78.04/50.30 ((m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6127,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4))))),
% 78.04/50.30 inference(monotonicity,[status(thm)],[6126])).
% 78.04/50.30 tff(6128,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(transitivity,[status(thm)],[6127, 6125])).
% 78.04/50.30 tff(6129,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4)))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6130,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node17(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 78.04/50.30 tff(6131,plain,
% 78.04/50.30 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6130, 1172, 6122])).
% 78.04/50.30 tff(6132,plain,
% 78.04/50.30 (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6131, 6124])).
% 78.04/50.30 tff(6133,plain,
% 78.04/50.30 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(rewrite,[status(thm)],[])).
% 78.04/50.30 tff(6134,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(quant_inst,[status(thm)],[])).
% 78.04/50.30 tff(6135,plain,
% 78.04/50.30 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s4)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 78.04/50.30 tff(6136,plain,
% 78.04/50.30 (m_c_h_element_v_in1(c_e_h_1, c_h, s4) | m_c_h_element_v_in2(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6135, 559, 6123])).
% 78.04/50.30 tff(6137,plain,
% 78.04/50.30 ($false),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6136, 6132, 6124])).
% 78.04/50.30 tff(6138,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node16(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.30 tff(6139,plain,
% 78.04/50.30 (m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6138, 6123, 6122])).
% 78.04/50.30 tff(6140,plain,
% 78.04/50.30 (m_c_h_element_v_in2(c_e_h_1, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4))),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6112, 541, 6122])).
% 78.04/50.30 tff(6141,plain,
% 78.04/50.30 (m_c_h_element_v_in2(c_e_h_1, c_h, s4)),
% 78.04/50.30 inference(unit_resolution,[status(thm)],[6140, 6139])).
% 78.04/50.31 tff(6142,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6143,plain,
% 78.04/50.31 (((~node16(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6144,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4))))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6143])).
% 78.04/50.31 tff(6145,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4)))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6144, 6142])).
% 78.04/50.31 tff(6146,plain,
% 78.04/50.31 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6147,plain,
% 78.04/50.31 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | (~node16(c_e_h_1, c_h, s4))),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 78.04/50.31 tff(6148,plain,
% 78.04/50.31 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4))),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6147, 1192, 6123])).
% 78.04/50.31 tff(6149,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6148, 6141, 6139])).
% 78.04/50.31 tff(6150,plain,((~node16(c_e_h_1, c_h, s4)) | (~node17(c_e_h_1, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6151,plain,
% 78.04/50.31 (~node16(c_e_h_1, c_h, s4)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6150, 6105])).
% 78.04/50.31 tff(6152,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6153,plain,
% 78.04/50.31 ((node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | node15(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5))) <=> (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6154,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | node15(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6153])).
% 78.04/50.31 tff(6155,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | node15(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6154, 6152])).
% 78.04/50.31 tff(6156,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | node15(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6157,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~node19(c_e_h_1, c_h, s4, s5)) | node15(c_e_h_1, c_h, s4, s5)),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 78.04/50.31 tff(6158,plain,
% 78.04/50.31 (node16(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | node15(c_e_h_1, c_h, s4, s5)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6157, 594, 6097])).
% 78.04/50.31 tff(6159,plain,
% 78.04/50.31 (node14(c_e_h_1, c_h, s4, s5)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6158, 6151, 6121])).
% 78.04/50.31 tff(6160,assumption,(node14(c_e_h_1, c_h, s4, s5)), introduced(assumption)).
% 78.04/50.31 tff(6161,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6162,plain,
% 78.04/50.31 (((~node14(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6163,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5))))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6162])).
% 78.04/50.31 tff(6164,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5)))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6163, 6161])).
% 78.04/50.31 tff(6165,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6166,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4) | (~node14(c_e_h_1, c_h, s4, s5))),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 78.04/50.31 tff(6167,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6166, 575, 6078, 6160, 6124])).
% 78.04/50.31 tff(6168,plain,((~node14(c_e_h_1, c_h, s4, s5)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6169,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6168, 6159, 6114, 6078])).
% 78.04/50.31 tff(6170,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s4) | m_c_h_element_v_out(c_e_h_1, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6171,plain,
% 78.04/50.31 (m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6170, 6082, 6078])).
% 78.04/50.31 tff(6172,plain,
% 78.04/50.31 (m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[5762, 6171])).
% 78.04/50.31 tff(6173,plain,
% 78.04/50.31 ((~node18(c_e_h_1, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s4))),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[5746, 5419])).
% 78.04/50.31 tff(6174,plain,
% 78.04/50.31 (~node18(c_e_h_1, c_h, s3, s4)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6173, 6171])).
% 78.04/50.31 tff(6175,plain,
% 78.04/50.31 (node17(c_e_h_1, c_h, s3)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[5751, 6174])).
% 78.04/50.31 tff(6176,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6177,plain,
% 78.04/50.31 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~node17(c_e_h_1, c_h, s3))) <=> ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6178,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~node17(c_e_h_1, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3)))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6177])).
% 78.04/50.31 tff(6179,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~node17(c_e_h_1, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6178, 6176])).
% 78.04/50.31 tff(6180,plain,
% 78.04/50.31 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~node17(c_e_h_1, c_h, s3)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6181,plain,
% 78.04/50.31 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)) | m_c_h_element_v_in2(c_e_h_1, c_h, s3)),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 78.04/50.31 tff(6182,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6181, 541, 6175, 6172, 5721])).
% 78.04/50.31 tff(6183,plain,(m_c_h_element_v_in2(c_e_h_1, c_h, s3) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6184,plain,
% 78.04/50.31 ((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s4)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6183, 6077])).
% 78.04/50.31 tff(6185,plain,
% 78.04/50.31 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6184, 4219])).
% 78.04/50.31 tff(6186,assumption,(m_c_h_element_v_in2(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.31 tff(6187,plain,
% 78.04/50.31 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6188,plain,
% 78.04/50.31 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6189,plain,
% 78.04/50.31 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 78.04/50.31 tff(6190,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6189, 1740, 4633, 6186])).
% 78.04/50.31 tff(6191,plain,((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6192,plain,
% 78.04/50.31 (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6191, 4458])).
% 78.04/50.31 tff(6193,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.31 tff(6194,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s6)), introduced(assumption)).
% 78.04/50.31 tff(6195,assumption,(node18(c_e_h_1, c_h, s5, s6)), introduced(assumption)).
% 78.04/50.31 tff(6196,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6197,plain,
% 78.04/50.31 (((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~node18(c_e_h_1, c_h, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6198,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~node18(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6))))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6197])).
% 78.04/50.31 tff(6199,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~node18(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6198, 6196])).
% 78.04/50.31 tff(6200,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6201,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node18(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 78.04/50.31 tff(6202,plain,
% 78.04/50.31 ($false),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6201, 481, 6193, 6194, 6195])).
% 78.04/50.31 tff(6203,plain,((~node18(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.31 tff(6204,plain,
% 78.04/50.31 (~node18(c_e_h_1, c_h, s5, s6)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6203, 6194, 6193])).
% 78.04/50.31 tff(6205,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6206,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6207,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_h, s5, s6)),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 78.04/50.31 tff(6208,plain,
% 78.04/50.31 (node19(c_e_h_1, c_h, s5, s6)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6207, 494, 1343])).
% 78.04/50.31 tff(6209,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6210,plain,
% 78.04/50.31 ((node17(c_e_h_1, c_h, s5) | node18(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6))) <=> (node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(rewrite,[status(thm)],[])).
% 78.04/50.31 tff(6211,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s5) | node18(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(monotonicity,[status(thm)],[6210])).
% 78.04/50.31 tff(6212,plain,
% 78.04/50.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s5) | node18(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6))),
% 78.04/50.31 inference(transitivity,[status(thm)],[6211, 6209])).
% 78.04/50.31 tff(6213,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s5) | node18(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.31 inference(quant_inst,[status(thm)],[])).
% 78.04/50.31 tff(6214,plain,
% 78.04/50.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s5) | (~node19(c_e_h_1, c_h, s5, s6)) | node18(c_e_h_1, c_h, s5, s6)),
% 78.04/50.31 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 78.04/50.31 tff(6215,plain,
% 78.04/50.31 (node17(c_e_h_1, c_h, s5) | node18(c_e_h_1, c_h, s5, s6)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6214, 508, 6208])).
% 78.04/50.31 tff(6216,plain,
% 78.04/50.31 (node17(c_e_h_1, c_h, s5)),
% 78.04/50.31 inference(unit_resolution,[status(thm)],[6215, 6204])).
% 78.04/50.31 tff(6217,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.31 tff(6218,plain,
% 78.04/50.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6219,plain,
% 78.04/50.32 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6220,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))))),
% 78.04/50.32 inference(monotonicity,[status(thm)],[6219])).
% 78.04/50.32 tff(6221,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))),
% 78.04/50.32 inference(transitivity,[status(thm)],[6220, 6218])).
% 78.04/50.32 tff(6222,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6223,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 78.04/50.32 tff(6224,plain,
% 78.04/50.32 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6223, 541, 6217])).
% 78.04/50.32 tff(6225,plain,
% 78.04/50.32 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6224, 6216])).
% 78.04/50.32 tff(6226,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | m_c_h_element_v_in2(c_e_h_1, c_h, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | m_c_h_element_v_in2(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6227,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | m_c_h_element_v_in2(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6228,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6227, 6226])).
% 78.04/50.32 tff(6229,plain,
% 78.04/50.32 ((~node16(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6228, 559, 6217])).
% 78.04/50.32 tff(6230,plain,
% 78.04/50.32 (~node16(c_e_h_1, c_h, s5)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6229, 6225])).
% 78.04/50.32 tff(6231,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.32 tff(6232,assumption,(~node16(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.32 tff(6233,assumption,(node15(c_e_h_1, c_h, s5, s6)), introduced(assumption)).
% 78.04/50.32 tff(6234,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node15(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node15(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6235,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node15(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6236,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node15(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 78.04/50.32 tff(6237,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6236, 612, 6193, 6194, 6233])).
% 78.04/50.32 tff(6238,plain,((~node15(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6239,plain,
% 78.04/50.32 (~node15(c_e_h_1, c_h, s5, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6238, 6194, 6193])).
% 78.04/50.32 tff(6240,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6241,plain,
% 78.04/50.32 ((node16(c_e_h_1, c_h, s5) | node14(c_e_h_1, c_h, s5, s6) | node15(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6))) <=> (node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6242,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s5) | node14(c_e_h_1, c_h, s5, s6) | node15(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6))))),
% 78.04/50.32 inference(monotonicity,[status(thm)],[6241])).
% 78.04/50.32 tff(6243,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s5) | node14(c_e_h_1, c_h, s5, s6) | node15(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(transitivity,[status(thm)],[6242, 6240])).
% 78.04/50.32 tff(6244,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s5) | node14(c_e_h_1, c_h, s5, s6) | node15(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6245,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6) | (~node19(c_e_h_1, c_h, s5, s6))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 78.04/50.32 tff(6246,plain,
% 78.04/50.32 (node16(c_e_h_1, c_h, s5) | node15(c_e_h_1, c_h, s5, s6) | node14(c_e_h_1, c_h, s5, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6245, 594, 6208])).
% 78.04/50.32 tff(6247,plain,
% 78.04/50.32 (node14(c_e_h_1, c_h, s5, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6246, 6239, 6232])).
% 78.04/50.32 tff(6248,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6249,plain,
% 78.04/50.32 (((~node14(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6250,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6))))),
% 78.04/50.32 inference(monotonicity,[status(thm)],[6249])).
% 78.04/50.32 tff(6251,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.32 inference(transitivity,[status(thm)],[6250, 6248])).
% 78.04/50.32 tff(6252,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6253,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | (~node14(c_e_h_1, c_h, s5, s6))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6252, 6251])).
% 78.04/50.32 tff(6254,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6253, 575, 6194, 6247, 6231])).
% 78.04/50.32 tff(6255,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | node16(c_e_h_1, c_h, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6256,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6255, 6230, 6225, 6194, 6193])).
% 78.04/50.32 tff(6257,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | m_c_h_element_v_in2(c_e_h_1, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6258,plain,
% 78.04/50.32 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6257, 6192, 6185])).
% 78.04/50.32 tff(6259,plain,
% 78.04/50.32 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6260,plain,
% 78.04/50.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6261,plain,
% 78.04/50.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_j, s6)),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 78.04/50.32 tff(6262,plain,
% 78.04/50.32 (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6261, 1740, 4662])).
% 78.04/50.32 tff(6263,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s6)), introduced(assumption)).
% 78.04/50.32 tff(6264,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s7)), introduced(assumption)).
% 78.04/50.32 tff(6265,assumption,(node18(c_e_h_1, c_h, s6, s7)), introduced(assumption)).
% 78.04/50.32 tff(6266,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~node18(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~node18(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6267,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~node18(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6268,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~node18(c_e_h_1, c_h, s6, s7))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 78.04/50.32 tff(6269,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6268, 481, 6264, 6263, 6265])).
% 78.04/50.32 tff(6270,plain,((~node18(c_e_h_1, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6271,plain,
% 78.04/50.32 (~node18(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6270, 6264, 6263])).
% 78.04/50.32 tff(6272,plain,
% 78.04/50.32 (~node18(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6270, 6263, 6264])).
% 78.04/50.32 tff(6273,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s6)), introduced(assumption)).
% 78.04/50.32 tff(6274,assumption,(node15(c_e_h_1, c_h, s6, s7)), introduced(assumption)).
% 78.04/50.32 tff(6275,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | (~node15(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | (~node15(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6276,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | (~node15(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6277,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | (~node15(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6276, 6275])).
% 78.04/50.32 tff(6278,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6277, 612, 6264, 6263, 6274])).
% 78.04/50.32 tff(6279,plain,((~node15(c_e_h_1, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6280,plain,
% 78.04/50.32 (~node15(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6279, 6263, 6264])).
% 78.04/50.32 tff(6281,assumption,(node17(c_e_h_1, c_h, s6)), introduced(assumption)).
% 78.04/50.32 tff(6282,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6283,plain,
% 78.04/50.32 ((m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6284,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6))))),
% 78.04/50.32 inference(monotonicity,[status(thm)],[6283])).
% 78.04/50.32 tff(6285,plain,
% 78.04/50.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)))),
% 78.04/50.32 inference(transitivity,[status(thm)],[6284, 6282])).
% 78.04/50.32 tff(6286,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6287,plain,
% 78.04/50.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 78.04/50.32 tff(6288,plain,
% 78.04/50.32 (m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s6))),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6287, 1172, 6281])).
% 78.04/50.32 tff(6289,plain,
% 78.04/50.32 (~m_c_h_element_v_in2(c_e_h_1, c_h, s6)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6288, 6273])).
% 78.04/50.32 tff(6290,assumption,(~node15(c_e_h_1, c_h, s6, s7)), introduced(assumption)).
% 78.04/50.32 tff(6291,assumption,(node14(c_e_h_1, c_h, s6, s7)), introduced(assumption)).
% 78.04/50.32 tff(6292,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6293,plain,
% 78.04/50.32 (((~node14(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6294,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7))))),
% 78.04/50.32 inference(monotonicity,[status(thm)],[6293])).
% 78.04/50.32 tff(6295,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.32 inference(transitivity,[status(thm)],[6294, 6292])).
% 78.04/50.32 tff(6296,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6297,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | (~node14(c_e_h_1, c_h, s6, s7))),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 78.04/50.32 tff(6298,plain,
% 78.04/50.32 ($false),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6297, 575, 6264, 6291, 6273])).
% 78.04/50.32 tff(6299,plain,((~node14(c_e_h_1, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.32 tff(6300,plain,
% 78.04/50.32 (~node14(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6299, 6273, 6264])).
% 78.04/50.32 tff(6301,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_h, s6, s7))),
% 78.04/50.32 inference(rewrite,[status(thm)],[])).
% 78.04/50.32 tff(6302,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_h, s6, s7))),
% 78.04/50.32 inference(quant_inst,[status(thm)],[])).
% 78.04/50.32 tff(6303,plain,
% 78.04/50.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 78.04/50.32 tff(6304,plain,
% 78.04/50.32 (node19(c_e_h_1, c_h, s6, s7)),
% 78.04/50.32 inference(unit_resolution,[status(thm)],[6303, 494, 1685])).
% 78.04/50.32 tff(6305,plain,
% 78.04/50.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6306,plain,
% 78.04/50.33 ((node16(c_e_h_1, c_h, s6) | node14(c_e_h_1, c_h, s6, s7) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7))) <=> (node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6307,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s6) | node14(c_e_h_1, c_h, s6, s7) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.33 inference(monotonicity,[status(thm)],[6306])).
% 78.04/50.33 tff(6308,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s6) | node14(c_e_h_1, c_h, s6, s7) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(transitivity,[status(thm)],[6307, 6305])).
% 78.04/50.33 tff(6309,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s6) | node14(c_e_h_1, c_h, s6, s7) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6310,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)) | node14(c_e_h_1, c_h, s6, s7)),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 78.04/50.33 tff(6311,plain,
% 78.04/50.33 (node16(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | node14(c_e_h_1, c_h, s6, s7)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6310, 594, 6304])).
% 78.04/50.33 tff(6312,plain,
% 78.04/50.33 (node16(c_e_h_1, c_h, s6)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6311, 6300, 6290])).
% 78.04/50.33 tff(6313,plain,
% 78.04/50.33 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | m_c_h_element_v_in2(c_e_h_1, c_h, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | m_c_h_element_v_in2(c_e_h_1, c_h, s6))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6314,plain,
% 78.04/50.33 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | m_c_h_element_v_in2(c_e_h_1, c_h, s6))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6315,plain,
% 78.04/50.33 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6) | m_c_h_element_v_in2(c_e_h_1, c_h, s6)),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 78.04/50.33 tff(6316,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6315, 559, 6312, 6273, 6289])).
% 78.04/50.33 tff(6317,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s6) | node15(c_e_h_1, c_h, s6, s7) | (~node17(c_e_h_1, c_h, s6)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6318,plain,
% 78.04/50.33 (~node17(c_e_h_1, c_h, s6)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6317, 6280, 6264, 6273])).
% 78.04/50.33 tff(6319,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6320,plain,
% 78.04/50.33 ((node17(c_e_h_1, c_h, s6) | node18(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7))) <=> (node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6321,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s6) | node18(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.33 inference(monotonicity,[status(thm)],[6320])).
% 78.04/50.33 tff(6322,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s6) | node18(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7))),
% 78.04/50.33 inference(transitivity,[status(thm)],[6321, 6319])).
% 78.04/50.33 tff(6323,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s6) | node18(c_e_h_1, c_h, s6, s7) | (~node19(c_e_h_1, c_h, s6, s7)))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6324,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s6) | (~node19(c_e_h_1, c_h, s6, s7)) | node18(c_e_h_1, c_h, s6, s7)),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6323, 6322])).
% 78.04/50.33 tff(6325,plain,
% 78.04/50.33 (node17(c_e_h_1, c_h, s6) | node18(c_e_h_1, c_h, s6, s7)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6324, 508, 6304])).
% 78.04/50.33 tff(6326,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6325, 6318, 6272])).
% 78.04/50.33 tff(6327,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6328,plain,
% 78.04/50.33 (m_c_h_element_v_in1(c_e_h_1, c_h, s6)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6327, 6264, 6263])).
% 78.04/50.33 tff(6329,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s6)), introduced(assumption)).
% 78.04/50.33 tff(6330,plain,
% 78.04/50.33 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6331,plain,
% 78.04/50.33 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6332,plain,
% 78.04/50.33 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6))))),
% 78.04/50.33 inference(monotonicity,[status(thm)],[6331])).
% 78.04/50.33 tff(6333,plain,
% 78.04/50.33 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6)))),
% 78.04/50.33 inference(transitivity,[status(thm)],[6332, 6330])).
% 78.04/50.33 tff(6334,plain,
% 78.04/50.33 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~node17(c_e_h_1, c_h, s6)))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6335,plain,
% 78.04/50.33 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6))),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 78.04/50.33 tff(6336,plain,
% 78.04/50.33 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | (~node17(c_e_h_1, c_h, s6))),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6335, 541, 6329])).
% 78.04/50.33 tff(6337,plain,
% 78.04/50.33 (~node17(c_e_h_1, c_h, s6)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6336, 6328])).
% 78.04/50.33 tff(6338,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6325, 6337, 6271])).
% 78.04/50.33 tff(6339,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s6) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6340,plain,
% 78.04/50.33 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6339, 6262, 6258])).
% 78.04/50.33 tff(6341,plain,
% 78.04/50.33 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6342,plain,
% 78.04/50.33 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6343,plain,
% 78.04/50.33 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_j, s7)),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6342, 6341])).
% 78.04/50.33 tff(6344,plain,
% 78.04/50.33 (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6343, 1740, 5024])).
% 78.04/50.33 tff(6345,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s7)), introduced(assumption)).
% 78.04/50.33 tff(6346,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s8)), introduced(assumption)).
% 78.04/50.33 tff(6347,assumption,(node18(c_e_h_1, c_h, s7, s8)), introduced(assumption)).
% 78.04/50.33 tff(6348,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6349,plain,
% 78.04/50.33 (((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~node18(c_e_h_1, c_h, s7, s8))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6350,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~node18(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8))))),
% 78.04/50.33 inference(monotonicity,[status(thm)],[6349])).
% 78.04/50.33 tff(6351,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~node18(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(transitivity,[status(thm)],[6350, 6348])).
% 78.04/50.33 tff(6352,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~node18(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6353,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node18(c_e_h_1, c_h, s7, s8))),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 78.04/50.33 tff(6354,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6353, 481, 6345, 6346, 6347])).
% 78.04/50.33 tff(6355,plain,((~node18(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6356,plain,
% 78.04/50.33 (~node18(c_e_h_1, c_h, s7, s8)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6355, 6346, 6345])).
% 78.04/50.33 tff(6357,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s7)), introduced(assumption)).
% 78.04/50.33 tff(6358,assumption,(~node16(c_e_h_1, c_h, s7)), introduced(assumption)).
% 78.04/50.33 tff(6359,assumption,(node15(c_e_h_1, c_h, s7, s8)), introduced(assumption)).
% 78.04/50.33 tff(6360,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node15(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node15(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6361,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node15(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6362,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | (~node15(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 78.04/50.33 tff(6363,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6362, 612, 6345, 6346, 6359])).
% 78.04/50.33 tff(6364,plain,((~node15(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6365,plain,
% 78.04/50.33 (~node15(c_e_h_1, c_h, s7, s8)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6364, 6346, 6345])).
% 78.04/50.33 tff(6366,assumption,(node14(c_e_h_1, c_h, s7, s8)), introduced(assumption)).
% 78.04/50.33 tff(6367,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6368,plain,
% 78.04/50.33 (((~node14(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6369,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8))))),
% 78.04/50.33 inference(monotonicity,[status(thm)],[6368])).
% 78.04/50.33 tff(6370,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.33 inference(transitivity,[status(thm)],[6369, 6367])).
% 78.04/50.33 tff(6371,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6372,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node14(c_e_h_1, c_h, s7, s8))),
% 78.04/50.33 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 78.04/50.33 tff(6373,plain,
% 78.04/50.33 ($false),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6372, 575, 6346, 6366, 6357])).
% 78.04/50.33 tff(6374,plain,((~node14(c_e_h_1, c_h, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.33 tff(6375,plain,
% 78.04/50.33 (~node14(c_e_h_1, c_h, s7, s8)),
% 78.04/50.33 inference(unit_resolution,[status(thm)],[6374, 6346, 6357])).
% 78.04/50.33 tff(6376,plain,
% 78.04/50.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_h, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_h, s7, s8))),
% 78.04/50.33 inference(rewrite,[status(thm)],[])).
% 78.04/50.33 tff(6377,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_h, s7, s8))),
% 78.04/50.33 inference(quant_inst,[status(thm)],[])).
% 78.04/50.33 tff(6378,plain,
% 78.04/50.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_h, s7, s8)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 78.04/50.34 tff(6379,plain,
% 78.04/50.34 (node19(c_e_h_1, c_h, s7, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6378, 494, 2456])).
% 78.04/50.34 tff(6380,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s7) | node14(c_e_h_1, c_h, s7, s8) | node15(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s7) | node14(c_e_h_1, c_h, s7, s8) | node15(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6381,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s7) | node14(c_e_h_1, c_h, s7, s8) | node15(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6382,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s7) | node14(c_e_h_1, c_h, s7, s8) | node15(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 78.04/50.34 tff(6383,plain,
% 78.04/50.34 (node16(c_e_h_1, c_h, s7) | node14(c_e_h_1, c_h, s7, s8) | node15(c_e_h_1, c_h, s7, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6382, 594, 6379])).
% 78.04/50.34 tff(6384,plain,
% 78.04/50.34 ($false),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6383, 6375, 6365, 6358])).
% 78.04/50.34 tff(6385,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | node16(c_e_h_1, c_h, s7) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_out(c_e_h_1, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.34 tff(6386,plain,
% 78.04/50.34 (node16(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6385, 6346, 6345, 6357])).
% 78.04/50.34 tff(6387,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_in2(c_e_h_1, c_h, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_in2(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6388,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_in2(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6389,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_in2(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 78.04/50.34 tff(6390,plain,
% 78.04/50.34 ((~node16(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6389, 559, 6357])).
% 78.04/50.34 tff(6391,plain,
% 78.04/50.34 (m_c_h_element_v_in2(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6390, 6386])).
% 78.04/50.34 tff(6392,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s7) | node18(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s7) | node18(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6393,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s7) | node18(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6394,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s7) | node18(c_e_h_1, c_h, s7, s8) | (~node19(c_e_h_1, c_h, s7, s8))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 78.04/50.34 tff(6395,plain,
% 78.04/50.34 (node17(c_e_h_1, c_h, s7) | node18(c_e_h_1, c_h, s7, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6394, 508, 6379])).
% 78.04/50.34 tff(6396,plain,
% 78.04/50.34 (node17(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6395, 6356])).
% 78.04/50.34 tff(6397,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6398,plain,
% 78.04/50.34 ((m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6399,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7))))),
% 78.04/50.34 inference(monotonicity,[status(thm)],[6398])).
% 78.04/50.34 tff(6400,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(transitivity,[status(thm)],[6399, 6397])).
% 78.04/50.34 tff(6401,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6402,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6401, 6400])).
% 78.04/50.34 tff(6403,plain,
% 78.04/50.34 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6402, 1172, 6357])).
% 78.04/50.34 tff(6404,plain,
% 78.04/50.34 ($false),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6403, 6396, 6391])).
% 78.04/50.34 tff(6405,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s7) | m_c_h_element_v_out(c_e_h_1, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.34 tff(6406,plain,
% 78.04/50.34 (m_c_h_element_v_in1(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6405, 6346, 6345])).
% 78.04/50.34 tff(6407,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s7)), introduced(assumption)).
% 78.04/50.34 tff(6408,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6409,plain,
% 78.04/50.34 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6410,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7))))),
% 78.04/50.34 inference(monotonicity,[status(thm)],[6409])).
% 78.04/50.34 tff(6411,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(transitivity,[status(thm)],[6410, 6408])).
% 78.04/50.34 tff(6412,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~node17(c_e_h_1, c_h, s7)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6413,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 78.04/50.34 tff(6414,plain,
% 78.04/50.34 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | (~node17(c_e_h_1, c_h, s7))),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6413, 541, 6407])).
% 78.04/50.34 tff(6415,plain,
% 78.04/50.34 (~node17(c_e_h_1, c_h, s7)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6414, 6406])).
% 78.04/50.34 tff(6416,plain,
% 78.04/50.34 ($false),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6395, 6415, 6356])).
% 78.04/50.34 tff(6417,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s7) | m_c_h_element_v_out(c_e_h_1, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.34 tff(6418,plain,
% 78.04/50.34 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6417, 6344, 6340])).
% 78.04/50.34 tff(6419,plain,
% 78.04/50.34 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6420,plain,
% 78.04/50.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6421,plain,
% 78.04/50.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_j, s8)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6420, 6419])).
% 78.04/50.34 tff(6422,plain,
% 78.04/50.34 (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6421, 1740, 5331])).
% 78.04/50.34 tff(6423,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s8)), introduced(assumption)).
% 78.04/50.34 tff(6424,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.34 tff(6425,assumption,(node18(c_e_h_1, c_h, s8, s9)), introduced(assumption)).
% 78.04/50.34 tff(6426,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6427,plain,
% 78.04/50.34 (((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~node18(c_e_h_1, c_h, s8, s9))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6428,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~node18(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9))))),
% 78.04/50.34 inference(monotonicity,[status(thm)],[6427])).
% 78.04/50.34 tff(6429,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~node18(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(transitivity,[status(thm)],[6428, 6426])).
% 78.04/50.34 tff(6430,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~node18(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6431,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node18(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 78.04/50.34 tff(6432,plain,
% 78.04/50.34 ($false),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6431, 481, 6423, 6424, 6425])).
% 78.04/50.34 tff(6433,plain,((~node18(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.34 tff(6434,plain,
% 78.04/50.34 (~node18(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6433, 6424, 6423])).
% 78.04/50.34 tff(6435,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s8)), introduced(assumption)).
% 78.04/50.34 tff(6436,assumption,(node15(c_e_h_1, c_h, s8, s9)), introduced(assumption)).
% 78.04/50.34 tff(6437,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node15(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node15(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6438,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node15(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6439,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | (~node15(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 78.04/50.34 tff(6440,plain,
% 78.04/50.34 ($false),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6439, 612, 6423, 6424, 6436])).
% 78.04/50.34 tff(6441,plain,((~node15(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.34 tff(6442,plain,
% 78.04/50.34 (~node15(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6441, 6424, 6423])).
% 78.04/50.34 tff(6443,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6444,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6445,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 78.04/50.34 tff(6446,plain,
% 78.04/50.34 (node19(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6445, 494, 3713])).
% 78.04/50.34 tff(6447,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6448,plain,
% 78.04/50.34 ((node17(c_e_h_1, c_h, s8) | node18(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9))) <=> (node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6449,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s8) | node18(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(monotonicity,[status(thm)],[6448])).
% 78.04/50.34 tff(6450,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s8) | node18(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9))),
% 78.04/50.34 inference(transitivity,[status(thm)],[6449, 6447])).
% 78.04/50.34 tff(6451,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s8) | node18(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6452,plain,
% 78.04/50.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node18(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 78.04/50.34 tff(6453,plain,
% 78.04/50.34 (node17(c_e_h_1, c_h, s8) | node18(c_e_h_1, c_h, s8, s9)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6452, 508, 6446])).
% 78.04/50.34 tff(6454,plain,
% 78.04/50.34 (node17(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6453, 6434])).
% 78.04/50.34 tff(6455,assumption,(node17(c_e_h_1, c_h, s8)), introduced(assumption)).
% 78.04/50.34 tff(6456,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6457,plain,
% 78.04/50.34 ((m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6458,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8))))),
% 78.04/50.34 inference(monotonicity,[status(thm)],[6457])).
% 78.04/50.34 tff(6459,plain,
% 78.04/50.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))),
% 78.04/50.34 inference(transitivity,[status(thm)],[6458, 6456])).
% 78.04/50.34 tff(6460,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)))),
% 78.04/50.34 inference(quant_inst,[status(thm)],[])).
% 78.04/50.34 tff(6461,plain,
% 78.04/50.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8))),
% 78.04/50.34 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 78.04/50.34 tff(6462,plain,
% 78.04/50.34 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6461, 1172, 6455])).
% 78.04/50.34 tff(6463,plain,
% 78.04/50.34 (~m_c_h_element_v_in2(c_e_h_1, c_h, s8)),
% 78.04/50.34 inference(unit_resolution,[status(thm)],[6462, 6435])).
% 78.04/50.34 tff(6464,assumption,(~node15(c_e_h_1, c_h, s8, s9)), introduced(assumption)).
% 78.04/50.34 tff(6465,assumption,(node14(c_e_h_1, c_h, s8, s9)), introduced(assumption)).
% 78.04/50.34 tff(6466,plain,
% 78.04/50.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.34 inference(rewrite,[status(thm)],[])).
% 78.04/50.34 tff(6467,plain,
% 78.04/50.34 (((~node14(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6468,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9))))),
% 78.04/50.35 inference(monotonicity,[status(thm)],[6467])).
% 78.04/50.35 tff(6469,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.35 inference(transitivity,[status(thm)],[6468, 6466])).
% 78.04/50.35 tff(6470,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6471,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~node14(c_e_h_1, c_h, s8, s9))),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6470, 6469])).
% 78.04/50.35 tff(6472,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6471, 575, 6424, 6465, 6435])).
% 78.04/50.35 tff(6473,plain,((~node14(c_e_h_1, c_h, s8, s9)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6474,plain,
% 78.04/50.35 (~node14(c_e_h_1, c_h, s8, s9)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6473, 6435, 6424])).
% 78.04/50.35 tff(6475,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6476,plain,
% 78.04/50.35 ((node16(c_e_h_1, c_h, s8) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9))) <=> (node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6477,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s8) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.35 inference(monotonicity,[status(thm)],[6476])).
% 78.04/50.35 tff(6478,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s8) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9))),
% 78.04/50.35 inference(transitivity,[status(thm)],[6477, 6475])).
% 78.04/50.35 tff(6479,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s8) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9) | (~node19(c_e_h_1, c_h, s8, s9)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6480,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s8) | (~node19(c_e_h_1, c_h, s8, s9)) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 78.04/50.35 tff(6481,plain,
% 78.04/50.35 (node16(c_e_h_1, c_h, s8) | node14(c_e_h_1, c_h, s8, s9) | node15(c_e_h_1, c_h, s8, s9)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6480, 594, 6446])).
% 78.04/50.35 tff(6482,plain,
% 78.04/50.35 (node16(c_e_h_1, c_h, s8)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6481, 6474, 6464])).
% 78.04/50.35 tff(6483,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6484,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6485,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s8)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_in2(c_e_h_1, c_h, s8)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 78.04/50.35 tff(6486,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6485, 559, 6482, 6435, 6463])).
% 78.04/50.35 tff(6487,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s8) | node15(c_e_h_1, c_h, s8, s9) | (~node17(c_e_h_1, c_h, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6488,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6487, 6454, 6442, 6435, 6424])).
% 78.04/50.35 tff(6489,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6490,plain,
% 78.04/50.35 (m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6489, 6424, 6423])).
% 78.04/50.35 tff(6491,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s8)), introduced(assumption)).
% 78.04/50.35 tff(6492,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6493,plain,
% 78.04/50.35 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6494,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8)))),
% 78.04/50.35 inference(monotonicity,[status(thm)],[6493])).
% 78.04/50.35 tff(6495,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(transitivity,[status(thm)],[6494, 6492])).
% 78.04/50.35 tff(6496,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8) | (~node17(c_e_h_1, c_h, s8)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6497,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 78.04/50.35 tff(6498,plain,
% 78.04/50.35 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | (~node17(c_e_h_1, c_h, s8))),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6497, 541, 6491])).
% 78.04/50.35 tff(6499,plain,
% 78.04/50.35 (~node17(c_e_h_1, c_h, s8)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6498, 6490])).
% 78.04/50.35 tff(6500,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6453, 6499, 6434])).
% 78.04/50.35 tff(6501,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s9)) | m_c_h_element_v_in2(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6502,plain,
% 78.04/50.35 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6501, 6422, 6418])).
% 78.04/50.35 tff(6503,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.04/50.35 tff(6504,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.35 tff(6505,assumption,(node15(c_e_h_1, c_h, s9, s10)), introduced(assumption)).
% 78.04/50.35 tff(6506,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node15(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node15(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6507,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node15(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6508,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node15(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 78.04/50.35 tff(6509,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6508, 612, 6503, 6505, 6504])).
% 78.04/50.35 tff(6510,plain,((~node15(c_e_h_1, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6511,plain,
% 78.04/50.35 (~node15(c_e_h_1, c_h, s9, s10)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6510, 6504, 6503])).
% 78.04/50.35 tff(6512,assumption,(node18(c_e_h_1, c_h, s9, s10)), introduced(assumption)).
% 78.04/50.35 tff(6513,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | (~node18(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | (~node18(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6514,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | (~node18(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6515,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | (~node18(c_e_h_1, c_h, s9, s10))),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 78.04/50.35 tff(6516,plain,
% 78.04/50.35 ($false),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6515, 481, 6503, 6512, 6504])).
% 78.04/50.35 tff(6517,plain,((~node18(c_e_h_1, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.35 tff(6518,plain,
% 78.04/50.35 (~node18(c_e_h_1, c_h, s9, s10)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6517, 6504, 6503])).
% 78.04/50.35 tff(6519,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_h, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_h, s9, s10))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6520,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_h, s9, s10))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6521,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_h, s9, s10)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 78.04/50.35 tff(6522,plain,
% 78.04/50.35 (node19(c_e_h_1, c_h, s9, s10)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6521, 494, 6039])).
% 78.04/50.35 tff(6523,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6524,plain,
% 78.04/50.35 ((node17(c_e_h_1, c_h, s9) | node18(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10))) <=> ((~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6525,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s9) | node18(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(monotonicity,[status(thm)],[6524])).
% 78.04/50.35 tff(6526,plain,
% 78.04/50.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s9) | node18(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(transitivity,[status(thm)],[6525, 6523])).
% 78.04/50.35 tff(6527,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s9) | node18(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6528,plain,
% 78.04/50.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s9, s10)) | node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9)),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6527, 6526])).
% 78.04/50.35 tff(6529,plain,
% 78.04/50.35 (node18(c_e_h_1, c_h, s9, s10) | node17(c_e_h_1, c_h, s9)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6528, 508, 6522])).
% 78.04/50.35 tff(6530,plain,
% 78.04/50.35 (node17(c_e_h_1, c_h, s9)),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6529, 6518])).
% 78.04/50.35 tff(6531,assumption,(node17(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.35 tff(6532,assumption,(node16(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.35 tff(6533,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.35 tff(6534,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6535,plain,
% 78.04/50.35 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(rewrite,[status(thm)],[])).
% 78.04/50.35 tff(6536,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9))))),
% 78.04/50.35 inference(monotonicity,[status(thm)],[6535])).
% 78.04/50.35 tff(6537,plain,
% 78.04/50.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(transitivity,[status(thm)],[6536, 6534])).
% 78.04/50.35 tff(6538,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))),
% 78.04/50.35 inference(quant_inst,[status(thm)],[])).
% 78.04/50.35 tff(6539,plain,
% 78.04/50.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 78.04/50.35 tff(6540,plain,
% 78.04/50.35 (m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9))),
% 78.04/50.35 inference(unit_resolution,[status(thm)],[6539, 541, 6531])).
% 78.04/50.36 tff(6541,plain,
% 78.04/50.36 (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6540, 6533])).
% 78.04/50.36 tff(6542,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6543,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6544,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 78.04/50.36 tff(6545,plain,
% 78.04/50.36 (m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6544, 559, 6532])).
% 78.04/50.36 tff(6546,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6545, 6541, 6533])).
% 78.04/50.36 tff(6547,plain,(m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~node16(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6548,plain,
% 78.04/50.36 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6547, 6532, 6531])).
% 78.04/50.36 tff(6549,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6550,plain,
% 78.04/50.36 ((m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6551,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9))))),
% 78.04/50.36 inference(monotonicity,[status(thm)],[6550])).
% 78.04/50.36 tff(6552,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(transitivity,[status(thm)],[6551, 6549])).
% 78.04/50.36 tff(6553,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6554,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node17(c_e_h_1, c_h, s9))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 78.04/50.36 tff(6555,plain,
% 78.04/50.36 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6554, 1172, 6531])).
% 78.04/50.36 tff(6556,plain,
% 78.04/50.36 (m_c_h_element_v_in1(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6555, 6548])).
% 78.04/50.36 tff(6557,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6558,plain,
% 78.04/50.36 (((~node16(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6559,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9))))),
% 78.04/50.36 inference(monotonicity,[status(thm)],[6558])).
% 78.04/50.36 tff(6560,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(transitivity,[status(thm)],[6559, 6557])).
% 78.04/50.36 tff(6561,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6562,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | (~node16(c_e_h_1, c_h, s9))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 78.04/50.36 tff(6563,plain,
% 78.04/50.36 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9))),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6562, 1192, 6532])).
% 78.04/50.36 tff(6564,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6563, 6556, 6548])).
% 78.04/50.36 tff(6565,plain,((~node16(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6566,plain,
% 78.04/50.36 (~node16(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6565, 6530])).
% 78.04/50.36 tff(6567,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6568,plain,
% 78.04/50.36 ((node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | node15(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10))) <=> (node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6569,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | node15(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10))))),
% 78.04/50.36 inference(monotonicity,[status(thm)],[6568])).
% 78.04/50.36 tff(6570,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | node15(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(transitivity,[status(thm)],[6569, 6567])).
% 78.04/50.36 tff(6571,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | node15(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6572,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10) | (~node19(c_e_h_1, c_h, s9, s10))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 78.04/50.36 tff(6573,plain,
% 78.04/50.36 (node15(c_e_h_1, c_h, s9, s10) | node16(c_e_h_1, c_h, s9) | node14(c_e_h_1, c_h, s9, s10)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6572, 594, 6522])).
% 78.04/50.36 tff(6574,plain,
% 78.04/50.36 (node14(c_e_h_1, c_h, s9, s10)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6573, 6566, 6511])).
% 78.04/50.36 tff(6575,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s9)), introduced(assumption)).
% 78.04/50.36 tff(6576,assumption,(node14(c_e_h_1, c_h, s9, s10)), introduced(assumption)).
% 78.04/50.36 tff(6577,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6578,plain,
% 78.04/50.36 (((~node14(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6579,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10))))),
% 78.04/50.36 inference(monotonicity,[status(thm)],[6578])).
% 78.04/50.36 tff(6580,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10)))),
% 78.04/50.36 inference(transitivity,[status(thm)],[6579, 6577])).
% 78.04/50.36 tff(6581,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6582,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | (~node14(c_e_h_1, c_h, s9, s10))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 78.04/50.36 tff(6583,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6582, 575, 6503, 6576, 6575])).
% 78.04/50.36 tff(6584,plain,((~node14(c_e_h_1, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6585,plain,
% 78.04/50.36 (m_c_h_element_v_in1(c_e_h_1, c_h, s9)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6584, 6574, 6503])).
% 78.04/50.36 tff(6586,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6539, 541, 6530, 6533, 6585])).
% 78.04/50.36 tff(6587,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s9) | m_c_h_element_v_in2(c_e_h_1, c_h, s9) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6588,plain,
% 78.04/50.36 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6587, 6502, 6073])).
% 78.04/50.36 tff(6589,assumption,(node20(c_e_h_1, c_i, s5)), introduced(assumption)).
% 78.04/50.36 tff(6590,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s5))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6591,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s5))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6592,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 78.04/50.36 tff(6593,plain,
% 78.04/50.36 (m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6592, 22, 6589])).
% 78.04/50.36 tff(6594,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.36 tff(6595,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_i, s5)), introduced(assumption)).
% 78.04/50.36 tff(6596,plain,
% 78.04/50.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s5))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6597,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s5))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6598,plain,
% 78.04/50.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s5)),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 78.04/50.36 tff(6599,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6598, 334, 6589, 6595])).
% 78.04/50.36 tff(6600,plain,((~node20(c_e_h_1, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6601,plain,
% 78.04/50.36 (m_and_h_gate_v_in2(c_e_h_1, c_i, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6600, 6589])).
% 78.04/50.36 tff(6602,plain,
% 78.04/50.36 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X))) <=> ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X))))),
% 78.04/50.36 inference(bind,[status(th)],[])).
% 78.04/50.36 tff(6603,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))),
% 78.04/50.36 inference(quant_intro,[status(thm)],[6602])).
% 78.04/50.36 tff(6604,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6605,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_38')).
% 78.04/50.36 tff(6606,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 78.04/50.36 tff(6607,plain,(
% 78.04/50.36 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))),
% 78.04/50.36 inference(skolemize,[status(sab)],[6606])).
% 78.04/50.36 tff(6608,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6607, 6603])).
% 78.04/50.36 tff(6609,plain,
% 78.04/50.36 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6610,plain,
% 78.04/50.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6611,plain,
% 78.04/50.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s5))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 78.04/50.36 tff(6612,plain,
% 78.04/50.36 (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6611, 6608, 6601])).
% 78.04/50.36 tff(6613,plain,
% 78.04/50.36 (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6191, 6612])).
% 78.04/50.36 tff(6614,plain,
% 78.04/50.36 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6615,plain,
% 78.04/50.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s5))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6616,plain,
% 78.04/50.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 78.04/50.36 tff(6617,plain,
% 78.04/50.36 (m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6616, 8, 6593])).
% 78.04/50.36 tff(6618,plain,
% 78.04/50.36 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))))),
% 78.04/50.36 inference(bind,[status(th)],[])).
% 78.04/50.36 tff(6619,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(quant_intro,[status(thm)],[6618])).
% 78.04/50.36 tff(6620,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6621,plain,
% 78.04/50.36 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y))) <=> ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y))))), rewrite(((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))))),
% 78.04/50.36 inference(bind,[status(th)],[])).
% 78.04/50.36 tff(6622,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(quant_intro,[status(thm)],[6621])).
% 78.04/50.36 tff(6623,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node18(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_10')).
% 78.04/50.36 tff(6624,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6623, 6622])).
% 78.04/50.36 tff(6625,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6624, 6620])).
% 78.04/50.36 tff(6626,plain,(
% 78.04/50.36 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(skolemize,[status(sab)],[6625])).
% 78.04/50.36 tff(6627,plain,
% 78.04/50.36 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6626, 6619])).
% 78.04/50.36 tff(6628,plain,
% 78.04/50.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6629,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s5, s6)))),
% 78.04/50.36 inference(quant_inst,[status(thm)],[])).
% 78.04/50.36 tff(6630,plain,
% 78.04/50.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | (~node18(c_e_h_1, c_h, s5, s6))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 78.04/50.36 tff(6631,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6630, 6627, 6078, 6263, 6195])).
% 78.04/50.36 tff(6632,plain,((~node18(c_e_h_1, c_h, s5, s6)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6633,plain,
% 78.04/50.36 (~node18(c_e_h_1, c_h, s5, s6)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6632, 6617, 6263])).
% 78.04/50.36 tff(6634,plain,
% 78.04/50.36 (node17(c_e_h_1, c_h, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6215, 6633])).
% 78.04/50.36 tff(6635,assumption,(node17(c_e_h_1, c_h, s5)), introduced(assumption)).
% 78.04/50.36 tff(6636,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6223, 541, 6635, 6594, 6217])).
% 78.04/50.36 tff(6637,plain,((~node17(c_e_h_1, c_h, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_in2(c_e_h_1, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6638,plain,
% 78.04/50.36 ($false),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6637, 6634, 6613, 6594])).
% 78.04/50.36 tff(6639,plain,((~node20(c_e_h_1, c_i, s5)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.36 tff(6640,plain,
% 78.04/50.36 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 78.04/50.36 inference(unit_resolution,[status(thm)],[6639, 6589, 6263])).
% 78.04/50.36 tff(6641,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s5)), introduced(assumption)).
% 78.04/50.36 tff(6642,plain,
% 78.04/50.36 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X)) <=> ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X)))),
% 78.04/50.36 inference(bind,[status(th)],[])).
% 78.04/50.36 tff(6643,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(quant_intro,[status(thm)],[6642])).
% 78.04/50.36 tff(6644,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(rewrite,[status(thm)],[])).
% 78.04/50.36 tff(6645,plain,
% 78.04/50.36 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in1(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_g, X))) <=> ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X)))),
% 78.04/50.36 inference(bind,[status(th)],[])).
% 78.04/50.36 tff(6646,plain,
% 78.04/50.36 (![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_g, X))) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(quant_intro,[status(thm)],[6645])).
% 78.04/50.36 tff(6647,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_g, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_31')).
% 78.04/50.36 tff(6648,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6647, 6646])).
% 78.04/50.36 tff(6649,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6648, 6644])).
% 78.04/50.36 tff(6650,plain,(
% 78.04/50.36 ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(skolemize,[status(sab)],[6649])).
% 78.04/50.36 tff(6651,plain,
% 78.04/50.36 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))),
% 78.04/50.36 inference(modus_ponens,[status(thm)],[6650, 6643])).
% 78.04/50.36 tff(6652,plain,
% 78.04/50.36 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6653,plain,
% 78.04/50.37 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5))),
% 78.04/50.37 inference(quant_inst,[status(thm)],[])).
% 78.04/50.37 tff(6654,plain,
% 78.04/50.37 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6653, 6652])).
% 78.04/50.37 tff(6655,plain,
% 78.04/50.37 ($false),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6654, 6651, 6641, 6231])).
% 78.04/50.37 tff(6656,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.37 tff(6657,plain,
% 78.04/50.37 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6656, 6640])).
% 78.04/50.37 tff(6658,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s5)), introduced(assumption)).
% 78.04/50.37 tff(6659,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s4)), introduced(assumption)).
% 78.04/50.37 tff(6660,assumption,(~node4(c_e_h_1, c_g, s4)), introduced(assumption)).
% 78.04/50.37 tff(6661,assumption,(node5(c_e_h_1, c_g, s4, s5)), introduced(assumption)).
% 78.04/50.37 tff(6662,plain,
% 78.04/50.37 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y)) <=> (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y)))),
% 78.04/50.37 inference(bind,[status(th)],[])).
% 78.04/50.37 tff(6663,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(quant_intro,[status(thm)],[6662])).
% 78.04/50.37 tff(6664,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6665,plain,
% 78.04/50.37 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((m_or_h_gate_v_out(I0, I1, Y) | node4(I0, I1, X)) | (~node5(I0, I1, X, Y))) <=> (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y)))),
% 78.04/50.37 inference(bind,[status(th)],[])).
% 78.04/50.37 tff(6666,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_or_h_gate_v_out(I0, I1, Y) | node4(I0, I1, X)) | (~node5(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(quant_intro,[status(thm)],[6665])).
% 78.04/50.37 tff(6667,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_or_h_gate_v_out(I0, I1, Y) | node4(I0, I1, X)) | (~node5(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_4')).
% 78.04/50.37 tff(6668,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 78.04/50.37 tff(6669,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6668, 6664])).
% 78.04/50.37 tff(6670,plain,(
% 78.04/50.37 ![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(skolemize,[status(sab)],[6669])).
% 78.04/50.37 tff(6671,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6670, 6663])).
% 78.04/50.37 tff(6672,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6673,plain,
% 78.04/50.37 ((node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6674,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5))))),
% 78.04/50.37 inference(monotonicity,[status(thm)],[6673])).
% 78.04/50.37 tff(6675,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(transitivity,[status(thm)],[6674, 6672])).
% 78.04/50.37 tff(6676,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 78.04/50.37 inference(quant_inst,[status(thm)],[])).
% 78.04/50.37 tff(6677,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 78.04/50.37 tff(6678,plain,
% 78.04/50.37 ($false),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6677, 6671, 6661, 6658, 6660])).
% 78.04/50.37 tff(6679,plain,((~node5(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node4(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.37 tff(6680,plain,
% 78.04/50.37 (~node5(c_e_h_1, c_g, s4, s5)),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6679, 6658, 6660])).
% 78.04/50.37 tff(6681,assumption,(node6(c_e_h_1, c_g, s4, s5)), introduced(assumption)).
% 78.04/50.37 tff(6682,plain,
% 78.04/50.37 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X))) <=> (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X))))),
% 78.04/50.37 inference(bind,[status(th)],[])).
% 78.04/50.37 tff(6683,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(quant_intro,[status(thm)],[6682])).
% 78.04/50.37 tff(6684,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6685,plain,
% 78.04/50.37 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) <=> (m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X)))), (((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y))) <=> ((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y))))), rewrite(((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y))) <=> (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))), (((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y))) <=> (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))))),
% 78.04/50.37 inference(bind,[status(th)],[])).
% 78.04/50.37 tff(6686,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(quant_intro,[status(thm)],[6685])).
% 78.04/50.37 tff(6687,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_or_h_gate_v_out(I0, I1, Y) | (~m_or_h_gate_v_out(I0, I1, X))) | (~node6(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_6')).
% 78.04/50.37 tff(6688,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 78.04/50.37 tff(6689,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6688, 6684])).
% 78.04/50.37 tff(6690,plain,(
% 78.04/50.37 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(skolemize,[status(sab)],[6689])).
% 78.04/50.37 tff(6691,plain,
% 78.04/50.37 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6690, 6683])).
% 78.04/50.37 tff(6692,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6693,plain,
% 78.04/50.37 ((m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6694,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5))))),
% 78.04/50.37 inference(monotonicity,[status(thm)],[6693])).
% 78.04/50.37 tff(6695,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(transitivity,[status(thm)],[6694, 6692])).
% 78.04/50.37 tff(6696,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))),
% 78.04/50.37 inference(quant_inst,[status(thm)],[])).
% 78.04/50.37 tff(6697,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~node6(c_e_h_1, c_g, s4, s5))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 78.04/50.37 tff(6698,plain,
% 78.04/50.37 ($false),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6697, 6691, 6681, 6658, 6659])).
% 78.04/50.37 tff(6699,plain,((~node6(c_e_h_1, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))), inference(lemma,lemma(discharge,[]))).
% 78.04/50.37 tff(6700,plain,
% 78.04/50.37 (~node6(c_e_h_1, c_g, s4, s5)),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6699, 6658, 6659])).
% 78.04/50.37 tff(6701,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6702,plain,
% 78.04/50.37 ((node6(c_e_h_1, c_g, s4, s5) | node5(c_e_h_1, c_g, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6703,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s4, s5) | node5(c_e_h_1, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5)))),
% 78.04/50.37 inference(monotonicity,[status(thm)],[6702])).
% 78.04/50.37 tff(6704,plain,
% 78.04/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s4, s5) | node5(c_e_h_1, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5))),
% 78.04/50.37 inference(transitivity,[status(thm)],[6703, 6701])).
% 78.04/50.37 tff(6705,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s4, s5) | node5(c_e_h_1, c_g, s4, s5) | (~trans(s4, s5)))),
% 78.04/50.37 inference(quant_inst,[status(thm)],[])).
% 78.04/50.37 tff(6706,plain,
% 78.04/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5)),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 78.04/50.37 tff(6707,plain,
% 78.04/50.37 (node5(c_e_h_1, c_g, s4, s5) | node6(c_e_h_1, c_g, s4, s5)),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6706, 1870, 930])).
% 78.04/50.37 tff(6708,plain,
% 78.04/50.37 ($false),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6707, 6700, 6680])).
% 78.04/50.37 tff(6709,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | node4(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 78.04/50.37 tff(6710,plain,
% 78.04/50.37 (node4(c_e_h_1, c_g, s4)),
% 78.04/50.37 inference(unit_resolution,[status(thm)],[6709, 6659, 6658])).
% 78.04/50.37 tff(6711,plain,
% 78.04/50.37 (^[I0: $i, X: $i, I1: $i] : refl(((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X))) <=> ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X))))),
% 78.04/50.37 inference(bind,[status(th)],[])).
% 78.04/50.37 tff(6712,plain,
% 78.04/50.37 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))),
% 78.04/50.37 inference(quant_intro,[status(thm)],[6711])).
% 78.04/50.37 tff(6713,plain,
% 78.04/50.37 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6714,axiom,(![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_2')).
% 78.04/50.37 tff(6715,plain,
% 78.04/50.37 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 78.04/50.37 tff(6716,plain,(
% 78.04/50.37 ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))),
% 78.04/50.37 inference(skolemize,[status(sab)],[6715])).
% 78.04/50.37 tff(6717,plain,
% 78.04/50.37 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6716, 6712])).
% 78.04/50.37 tff(6718,plain,
% 78.04/50.37 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | (~node4(c_e_h_1, c_g, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | (~node4(c_e_h_1, c_g, s4)))),
% 78.04/50.37 inference(rewrite,[status(thm)],[])).
% 78.04/50.37 tff(6719,plain,
% 78.04/50.37 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | (~node4(c_e_h_1, c_g, s4)))),
% 78.04/50.37 inference(quant_inst,[status(thm)],[])).
% 78.04/50.37 tff(6720,plain,
% 78.04/50.37 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | (~node4(c_e_h_1, c_g, s4))),
% 78.04/50.37 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 78.04/50.37 tff(6721,plain,
% 78.04/50.37 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 78.11/50.37 inference(unit_resolution,[status(thm)],[6720, 6717, 6710])).
% 78.11/50.37 tff(6722,plain,
% 78.11/50.37 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X)) <=> ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X)))),
% 78.11/50.37 inference(bind,[status(th)],[])).
% 78.11/50.37 tff(6723,plain,
% 78.11/50.37 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(quant_intro,[status(thm)],[6722])).
% 78.11/50.37 tff(6724,plain,
% 78.11/50.37 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(rewrite,[status(thm)],[])).
% 78.11/50.37 tff(6725,plain,
% 78.11/50.37 (^[I0: $i, X: $i] : rewrite((m_or_h_gate_v_in1(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_c, X))) <=> ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X)))),
% 78.11/50.37 inference(bind,[status(th)],[])).
% 78.11/50.37 tff(6726,plain,
% 78.11/50.37 (![I0: $i, X: $i] : (m_or_h_gate_v_in1(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_c, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(quant_intro,[status(thm)],[6725])).
% 78.11/50.37 tff(6727,axiom,(![I0: $i, X: $i] : (m_or_h_gate_v_in1(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_c, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_27')).
% 78.11/50.37 tff(6728,plain,
% 78.11/50.37 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 78.11/50.37 tff(6729,plain,
% 78.11/50.37 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(modus_ponens,[status(thm)],[6728, 6724])).
% 78.11/50.37 tff(6730,plain,(
% 78.11/50.37 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(skolemize,[status(sab)],[6729])).
% 78.11/50.37 tff(6731,plain,
% 78.11/50.37 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))),
% 78.11/50.37 inference(modus_ponens,[status(thm)],[6730, 6723])).
% 78.11/50.37 tff(6732,plain,
% 78.11/50.37 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4))),
% 78.11/50.37 inference(rewrite,[status(thm)],[])).
% 78.11/50.37 tff(6733,plain,
% 78.11/50.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4))),
% 78.11/50.37 inference(quant_inst,[status(thm)],[])).
% 78.11/50.37 tff(6734,plain,
% 78.11/50.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 78.11/50.37 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 78.11/50.37 tff(6735,plain,
% 78.11/50.37 (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 78.11/50.37 inference(unit_resolution,[status(thm)],[6734, 6731, 6721])).
% 78.11/50.37 tff(6736,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s3)), introduced(assumption)).
% 78.11/50.37 tff(6737,assumption,(node6(c_e_h_1, c_g, s3, s4)), introduced(assumption)).
% 78.11/50.37 tff(6738,plain,
% 78.11/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))),
% 78.11/50.37 inference(rewrite,[status(thm)],[])).
% 78.11/50.37 tff(6739,plain,
% 78.11/50.37 (((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))),
% 78.11/50.37 inference(rewrite,[status(thm)],[])).
% 78.11/50.37 tff(6740,plain,
% 78.11/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))))),
% 78.11/50.37 inference(monotonicity,[status(thm)],[6739])).
% 78.11/50.37 tff(6741,plain,
% 78.11/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))),
% 78.11/50.37 inference(transitivity,[status(thm)],[6740, 6738])).
% 78.11/50.37 tff(6742,plain,
% 78.11/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 78.11/50.37 inference(quant_inst,[status(thm)],[])).
% 78.11/50.37 tff(6743,plain,
% 78.11/50.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 78.11/50.37 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 78.11/50.37 tff(6744,plain,
% 78.11/50.37 ($false),
% 78.11/50.37 inference(unit_resolution,[status(thm)],[6743, 1851, 6737, 6736, 6659])).
% 78.11/50.37 tff(6745,plain,((~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.37 tff(6746,plain,
% 78.11/50.37 ((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 78.11/50.37 inference(unit_resolution,[status(thm)],[6745, 2912])).
% 78.11/50.37 tff(6747,plain,
% 78.11/50.37 (~node6(c_e_h_1, c_g, s3, s4)),
% 78.11/50.37 inference(unit_resolution,[status(thm)],[6746, 6659])).
% 78.11/50.37 tff(6748,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)), introduced(assumption)).
% 78.11/50.37 tff(6749,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s2)), introduced(assumption)).
% 78.11/50.37 tff(6750,assumption,(node13(c_e_h_1, c_b, s1, s2)), introduced(assumption)).
% 78.11/50.37 tff(6751,plain,
% 78.11/50.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6752,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6753,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s1)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6752, 6751])).
% 78.11/50.38 tff(6754,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6753, 1004, 6750, 6749, 2854])).
% 78.11/50.38 tff(6755,plain,((~node13(c_e_h_1, c_b, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6756,plain,
% 78.11/50.38 (~node13(c_e_h_1, c_b, s1, s2)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6755, 6749])).
% 78.11/50.38 tff(6757,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_1, c_b, s1, s2) | node13(c_e_h_1, c_b, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_1, c_b, s1, s2) | node13(c_e_h_1, c_b, s1, s2))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6758,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_1, c_b, s1, s2) | node13(c_e_h_1, c_b, s1, s2))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6759,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_1, c_b, s1, s2) | node13(c_e_h_1, c_b, s1, s2)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 78.11/50.38 tff(6760,plain,
% 78.11/50.38 (node12(c_e_h_1, c_b, s1, s2) | node13(c_e_h_1, c_b, s1, s2)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6759, 1020, 265])).
% 78.11/50.38 tff(6761,plain,
% 78.11/50.38 (node12(c_e_h_1, c_b, s1, s2)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6760, 6756])).
% 78.11/50.38 tff(6762,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s1)), introduced(assumption)).
% 78.11/50.38 tff(6763,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s0)), introduced(assumption)).
% 78.11/50.38 tff(6764,plain,
% 78.11/50.38 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s0))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6765,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6764, 424, 6763])).
% 78.11/50.38 tff(6766,plain,(~m_and_h_gate_v_out(c_e_h_2, c_k, s0)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6767,plain,
% 78.11/50.38 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s0)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s0)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6768,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s0)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6769,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s0)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6768, 6767])).
% 78.11/50.38 tff(6770,plain,
% 78.11/50.38 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s0)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6769, 1380, 6766])).
% 78.11/50.38 tff(6771,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s0))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6772,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s0))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6773,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s0)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 78.11/50.38 tff(6774,plain,
% 78.11/50.38 (~node20(c_e_h_2, c_p, s0)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6773, 22, 6770])).
% 78.11/50.38 tff(6775,assumption,(node21(c_e_h_2, c_p, s0, s1)), introduced(assumption)).
% 78.11/50.38 tff(6776,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6777,plain,
% 78.11/50.38 ((node20(c_e_h_2, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node21(c_e_h_2, c_p, s0, s1))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6778,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node21(c_e_h_2, c_p, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1))))),
% 78.11/50.38 inference(monotonicity,[status(thm)],[6777])).
% 78.11/50.38 tff(6779,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node21(c_e_h_2, c_p, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1)))),
% 78.11/50.38 inference(transitivity,[status(thm)],[6778, 6776])).
% 78.11/50.38 tff(6780,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node21(c_e_h_2, c_p, s0, s1)))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6781,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | node20(c_e_h_2, c_p, s0) | (~node21(c_e_h_2, c_p, s0, s1))),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6780, 6779])).
% 78.11/50.38 tff(6782,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6781, 348, 6775, 6774, 6762])).
% 78.11/50.38 tff(6783,plain,((~node21(c_e_h_2, c_p, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6784,plain,
% 78.11/50.38 (~node21(c_e_h_2, c_p, s0, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6783, 6762])).
% 78.11/50.38 tff(6785,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_p, s0, s1) | node22(c_e_h_2, c_p, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_p, s0, s1) | node22(c_e_h_2, c_p, s0, s1))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6786,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_p, s0, s1) | node22(c_e_h_2, c_p, s0, s1))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6787,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_p, s0, s1) | node22(c_e_h_2, c_p, s0, s1)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 78.11/50.38 tff(6788,plain,
% 78.11/50.38 (node21(c_e_h_2, c_p, s0, s1) | node22(c_e_h_2, c_p, s0, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6787, 383, 183])).
% 78.11/50.38 tff(6789,plain,
% 78.11/50.38 (node22(c_e_h_2, c_p, s0, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6788, 6784])).
% 78.11/50.38 tff(6790,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node22(c_e_h_2, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node22(c_e_h_2, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6791,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node22(c_e_h_2, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6792,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s1)) | (~node22(c_e_h_2, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s0)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6791, 6790])).
% 78.11/50.38 tff(6793,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6792, 437, 6789, 2816, 6762])).
% 78.11/50.38 tff(6794,plain,(~m_and_h_gate_v_out(c_e_h_2, c_p, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6795,plain,
% 78.11/50.38 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6796,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6797,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6796, 6795])).
% 78.11/50.38 tff(6798,plain,
% 78.11/50.38 (~m_cell_v_req(c_e_h_2, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6797, 1036, 6794])).
% 78.11/50.38 tff(6799,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s1))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6800,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s1))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6801,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s1)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6800, 6799])).
% 78.11/50.38 tff(6802,plain,
% 78.11/50.38 (node1(c_e_h_1, c_e_h_2, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6801, 2823, 1047])).
% 78.11/50.38 tff(6803,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6804,plain,
% 78.11/50.38 (((~node1(c_e_h_1, c_e_h_2, s1)) | m_cell_v_req(c_e_h_2, s1) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1))) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6805,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s1)) | m_cell_v_req(c_e_h_2, s1) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1))))),
% 78.11/50.38 inference(monotonicity,[status(thm)],[6804])).
% 78.11/50.38 tff(6806,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s1)) | m_cell_v_req(c_e_h_2, s1) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1)))),
% 78.11/50.38 inference(transitivity,[status(thm)],[6805, 6803])).
% 78.11/50.38 tff(6807,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s1)) | m_cell_v_req(c_e_h_2, s1) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6808,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1) | (~node1(c_e_h_1, c_e_h_2, s1))),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6807, 6806])).
% 78.11/50.38 tff(6809,plain,
% 78.11/50.38 ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)) | m_cell_v_req(c_e_h_2, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6808, 1064, 6802])).
% 78.11/50.38 tff(6810,plain,
% 78.11/50.38 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s1)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6809, 6798])).
% 78.11/50.38 tff(6811,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6812,plain,
% 78.11/50.38 (((~node12(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6813,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2))))),
% 78.11/50.38 inference(monotonicity,[status(thm)],[6812])).
% 78.11/50.38 tff(6814,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2)))),
% 78.11/50.38 inference(transitivity,[status(thm)],[6813, 6811])).
% 78.11/50.38 tff(6815,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6816,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node12(c_e_h_1, c_b, s1, s2))),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 78.11/50.38 tff(6817,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6816, 1082, 6810, 6761, 6749])).
% 78.11/50.38 tff(6818,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6819,plain,
% 78.11/50.38 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6820,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6821,plain,
% 78.11/50.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 78.11/50.38 tff(6822,plain,
% 78.11/50.38 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s2)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6821, 966, 6818])).
% 78.11/50.38 tff(6823,plain,
% 78.11/50.38 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s2))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6824,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s2))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6825,plain,
% 78.11/50.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s2)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6824, 6823])).
% 78.11/50.38 tff(6826,plain,
% 78.11/50.38 (~node20(c_e_h_1, c_d, s2)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6825, 22, 6822])).
% 78.11/50.38 tff(6827,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.11/50.38 tff(6828,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s2)), introduced(assumption)).
% 78.11/50.38 tff(6829,assumption,(node22(c_e_h_1, c_d, s2, s3)), introduced(assumption)).
% 78.11/50.38 tff(6830,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node22(c_e_h_1, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node22(c_e_h_1, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6831,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node22(c_e_h_1, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6832,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node22(c_e_h_1, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2)),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 78.11/50.38 tff(6833,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6832, 437, 6827, 6829, 6828])).
% 78.11/50.38 tff(6834,plain,((~node22(c_e_h_1, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.38 tff(6835,plain,
% 78.11/50.38 ((~node22(c_e_h_1, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3))),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6834, 2879])).
% 78.11/50.38 tff(6836,plain,
% 78.11/50.38 (~node22(c_e_h_1, c_d, s2, s3)),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6835, 6827])).
% 78.11/50.38 tff(6837,assumption,(~node20(c_e_h_1, c_d, s2)), introduced(assumption)).
% 78.11/50.38 tff(6838,assumption,(node21(c_e_h_1, c_d, s2, s3)), introduced(assumption)).
% 78.11/50.38 tff(6839,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6840,plain,
% 78.11/50.38 ((node20(c_e_h_1, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3)))),
% 78.11/50.38 inference(rewrite,[status(thm)],[])).
% 78.11/50.38 tff(6841,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3))))),
% 78.11/50.38 inference(monotonicity,[status(thm)],[6840])).
% 78.11/50.38 tff(6842,plain,
% 78.11/50.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3)))),
% 78.11/50.38 inference(transitivity,[status(thm)],[6841, 6839])).
% 78.11/50.38 tff(6843,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s2, s3)))),
% 78.11/50.38 inference(quant_inst,[status(thm)],[])).
% 78.11/50.38 tff(6844,plain,
% 78.11/50.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2) | (~node21(c_e_h_1, c_d, s2, s3))),
% 78.11/50.38 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 78.11/50.38 tff(6845,plain,
% 78.11/50.38 ($false),
% 78.11/50.38 inference(unit_resolution,[status(thm)],[6844, 348, 6827, 6838, 6837])).
% 78.11/50.38 tff(6846,plain,((~node21(c_e_h_1, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6847,plain,
% 78.11/50.39 (~node21(c_e_h_1, c_d, s2, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6846, 6827, 6837])).
% 78.11/50.39 tff(6848,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_d, s2, s3) | node22(c_e_h_1, c_d, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_d, s2, s3) | node22(c_e_h_1, c_d, s2, s3))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6849,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_d, s2, s3) | node22(c_e_h_1, c_d, s2, s3))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6850,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_d, s2, s3) | node22(c_e_h_1, c_d, s2, s3)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 78.11/50.39 tff(6851,plain,
% 78.11/50.39 (node21(c_e_h_1, c_d, s2, s3) | node22(c_e_h_1, c_d, s2, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6850, 383, 463])).
% 78.11/50.39 tff(6852,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6851, 6847, 6836])).
% 78.11/50.39 tff(6853,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | node20(c_e_h_1, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6854,plain,
% 78.11/50.39 (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6853, 6826])).
% 78.11/50.39 tff(6855,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s3)), introduced(assumption)).
% 78.11/50.39 tff(6856,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.11/50.39 tff(6857,plain,
% 78.11/50.39 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6858,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6859,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 78.11/50.39 tff(6860,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6859, 2501, 6856, 6855])).
% 78.11/50.39 tff(6861,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6862,plain,
% 78.11/50.39 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6861, 6854])).
% 78.11/50.39 tff(6863,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)), introduced(assumption)).
% 78.11/50.39 tff(6864,assumption,(node5(c_e_h_1, c_g, s3, s4)), introduced(assumption)).
% 78.11/50.39 tff(6865,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6866,plain,
% 78.11/50.39 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6867,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4))))),
% 78.11/50.39 inference(monotonicity,[status(thm)],[6866])).
% 78.11/50.39 tff(6868,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 78.11/50.39 inference(transitivity,[status(thm)],[6867, 6865])).
% 78.11/50.39 tff(6869,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6870,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 78.11/50.39 tff(6871,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6870, 1888, 6864, 6659, 6748, 6863])).
% 78.11/50.39 tff(6872,plain,((~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3) | m_or_h_gate_v_in2(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6873,plain,
% 78.11/50.39 ((~node5(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6872, 6862])).
% 78.11/50.39 tff(6874,plain,
% 78.11/50.39 (~node5(c_e_h_1, c_g, s3, s4)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6873, 6659, 6748])).
% 78.11/50.39 tff(6875,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6876,plain,
% 78.11/50.39 ((node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6877,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4)))),
% 78.11/50.39 inference(monotonicity,[status(thm)],[6876])).
% 78.11/50.39 tff(6878,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4))),
% 78.11/50.39 inference(transitivity,[status(thm)],[6877, 6875])).
% 78.11/50.39 tff(6879,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4) | (~trans(s3, s4)))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6880,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 78.11/50.39 tff(6881,plain,
% 78.11/50.39 (node6(c_e_h_1, c_g, s3, s4) | node5(c_e_h_1, c_g, s3, s4)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6880, 1870, 711])).
% 78.11/50.39 tff(6882,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6881, 6874, 6747])).
% 78.11/50.39 tff(6883,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6884,plain,
% 78.11/50.39 (m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6883, 6659])).
% 78.11/50.39 tff(6885,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s3)), introduced(assumption)).
% 78.11/50.39 tff(6886,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s3)), introduced(assumption)).
% 78.11/50.39 tff(6887,plain,
% 78.11/50.39 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6888,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6889,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 78.11/50.39 tff(6890,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6889, 2486, 6886, 6885])).
% 78.11/50.39 tff(6891,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6892,plain,
% 78.11/50.39 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6891, 6884])).
% 78.11/50.39 tff(6893,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s3)), introduced(assumption)).
% 78.11/50.39 tff(6894,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s4)), introduced(assumption)).
% 78.11/50.39 tff(6895,assumption,(node22(c_e_h_1, c_c, s3, s4)), introduced(assumption)).
% 78.11/50.39 tff(6896,plain,
% 78.11/50.39 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X))) <=> (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X))))),
% 78.11/50.39 inference(bind,[status(th)],[])).
% 78.11/50.39 tff(6897,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(quant_intro,[status(thm)],[6896])).
% 78.11/50.39 tff(6898,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6899,plain,
% 78.11/50.39 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) <=> (m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X)))), (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y))) <=> ((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y))))), rewrite(((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y))) <=> (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))), (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y))) <=> (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))))),
% 78.11/50.39 inference(bind,[status(th)],[])).
% 78.11/50.39 tff(6900,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(quant_intro,[status(thm)],[6899])).
% 78.11/50.39 tff(6901,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_out(I0, I1, X))) | (~node22(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_6')).
% 78.11/50.39 tff(6902,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 78.11/50.39 tff(6903,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6902, 6898])).
% 78.11/50.39 tff(6904,plain,(
% 78.11/50.39 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(skolemize,[status(sab)],[6903])).
% 78.11/50.39 tff(6905,plain,
% 78.11/50.39 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6904, 6897])).
% 78.11/50.39 tff(6906,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6907,plain,
% 78.11/50.39 ((m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6908,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4))))),
% 78.11/50.39 inference(monotonicity,[status(thm)],[6907])).
% 78.11/50.39 tff(6909,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)))),
% 78.11/50.39 inference(transitivity,[status(thm)],[6908, 6906])).
% 78.11/50.39 tff(6910,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6911,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node22(c_e_h_1, c_c, s3, s4))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 78.11/50.39 tff(6912,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6911, 6905, 6895, 6894, 6893])).
% 78.11/50.39 tff(6913,plain,((~node22(c_e_h_1, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6914,plain,
% 78.11/50.39 (~node22(c_e_h_1, c_c, s3, s4)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6913, 6735, 6892])).
% 78.11/50.39 tff(6915,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_c, s3, s4) | node22(c_e_h_1, c_c, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_c, s3, s4) | node22(c_e_h_1, c_c, s3, s4))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6916,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_c, s3, s4) | node22(c_e_h_1, c_c, s3, s4))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6917,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_c, s3, s4) | node22(c_e_h_1, c_c, s3, s4)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 78.11/50.39 tff(6918,plain,
% 78.11/50.39 (node21(c_e_h_1, c_c, s3, s4) | node22(c_e_h_1, c_c, s3, s4)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6917, 383, 711])).
% 78.11/50.39 tff(6919,plain,
% 78.11/50.39 (node21(c_e_h_1, c_c, s3, s4)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6918, 6914])).
% 78.11/50.39 tff(6920,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s3)), introduced(assumption)).
% 78.11/50.39 tff(6921,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s2)), introduced(assumption)).
% 78.11/50.39 tff(6922,plain,
% 78.11/50.39 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6923,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6924,plain,
% 78.11/50.39 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s1)) | m_and_h_gate_v_out(c_e_h_1, c_d, s1)),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6923, 6922])).
% 78.11/50.39 tff(6925,plain,
% 78.11/50.39 (~m_c_h_element_v_in1(c_e_h_1, c_f, s1)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6924, 1126, 2628])).
% 78.11/50.39 tff(6926,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s1)), introduced(assumption)).
% 78.11/50.39 tff(6927,assumption,(node14(c_e_h_1, c_f, s1, s2)), introduced(assumption)).
% 78.11/50.39 tff(6928,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6929,plain,
% 78.11/50.39 (((~node14(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.39 tff(6930,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2))))),
% 78.11/50.39 inference(monotonicity,[status(thm)],[6929])).
% 78.11/50.39 tff(6931,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.39 inference(transitivity,[status(thm)],[6930, 6928])).
% 78.11/50.39 tff(6932,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6933,plain,
% 78.11/50.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node14(c_e_h_1, c_f, s1, s2))),
% 78.11/50.39 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 78.11/50.39 tff(6934,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6933, 575, 6921, 6927, 6926])).
% 78.11/50.39 tff(6935,plain,((~node14(c_e_h_1, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6936,plain,
% 78.11/50.39 ((~node14(c_e_h_1, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6935, 6925])).
% 78.11/50.39 tff(6937,plain,
% 78.11/50.39 (~node14(c_e_h_1, c_f, s1, s2)),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6936, 6921])).
% 78.11/50.39 tff(6938,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s1)), introduced(assumption)).
% 78.11/50.39 tff(6939,assumption,(node15(c_e_h_1, c_f, s0, s1)), introduced(assumption)).
% 78.11/50.39 tff(6940,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s0)), introduced(assumption)).
% 78.11/50.39 tff(6941,plain,
% 78.11/50.39 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s0))),
% 78.11/50.39 inference(quant_inst,[status(thm)],[])).
% 78.11/50.39 tff(6942,plain,
% 78.11/50.39 ($false),
% 78.11/50.39 inference(unit_resolution,[status(thm)],[6941, 135, 6940])).
% 78.11/50.39 tff(6943,plain,(~m_c_h_element_v_out(c_e_h_1, c_f, s0)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.39 tff(6944,plain,
% 78.11/50.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node15(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node15(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))),
% 78.11/50.39 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6945,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node15(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6946,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node15(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 78.11/50.40 tff(6947,plain,
% 78.11/50.40 ($false),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6946, 612, 6938, 6943, 6939])).
% 78.11/50.40 tff(6948,plain,((~node15(c_e_h_1, c_f, s0, s1)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.40 tff(6949,plain,
% 78.11/50.40 (~node15(c_e_h_1, c_f, s0, s1)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6948, 6938])).
% 78.11/50.40 tff(6950,assumption,(node18(c_e_h_1, c_f, s0, s1)), introduced(assumption)).
% 78.11/50.40 tff(6951,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0) | (~node18(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0) | (~node18(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6952,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0) | (~node18(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6953,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s0) | (~node18(c_e_h_1, c_f, s0, s1))),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 78.11/50.40 tff(6954,plain,
% 78.11/50.40 ($false),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6953, 481, 6938, 6943, 6950])).
% 78.11/50.40 tff(6955,plain,((~node18(c_e_h_1, c_f, s0, s1)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.40 tff(6956,plain,
% 78.11/50.40 (~node18(c_e_h_1, c_f, s0, s1)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6955, 6938])).
% 78.11/50.40 tff(6957,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_f, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_f, s0, s1))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6958,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_1, c_f, s0, s1))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6959,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_1, c_f, s0, s1)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6958, 6957])).
% 78.11/50.40 tff(6960,plain,
% 78.11/50.40 (node19(c_e_h_1, c_f, s0, s1)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6959, 494, 183])).
% 78.11/50.40 tff(6961,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6962,plain,
% 78.11/50.40 ((node17(c_e_h_1, c_f, s0) | node18(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1))) <=> ((~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6963,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s0) | node18(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0)))),
% 78.11/50.40 inference(monotonicity,[status(thm)],[6962])).
% 78.11/50.40 tff(6964,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s0) | node18(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(transitivity,[status(thm)],[6963, 6961])).
% 78.11/50.40 tff(6965,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s0) | node18(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6966,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s0, s1)) | node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6965, 6964])).
% 78.11/50.40 tff(6967,plain,
% 78.11/50.40 (node18(c_e_h_1, c_f, s0, s1) | node17(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6966, 508, 6960])).
% 78.11/50.40 tff(6968,plain,
% 78.11/50.40 (node17(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6967, 6956])).
% 78.11/50.40 tff(6969,plain,
% 78.11/50.40 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6970,plain,
% 78.11/50.40 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6971,plain,
% 78.11/50.40 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s0)) | m_and_h_gate_v_out(c_e_h_1, c_d, s0)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 78.11/50.40 tff(6972,plain,
% 78.11/50.40 (~m_c_h_element_v_in1(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6971, 1126, 2494])).
% 78.11/50.40 tff(6973,plain,
% 78.11/50.40 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s0)) | (~node17(c_e_h_1, c_f, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s0)) | (~node17(c_e_h_1, c_f, s0)))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6974,plain,
% 78.11/50.40 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s0)) | (~node17(c_e_h_1, c_f, s0)))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6975,plain,
% 78.11/50.40 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s0)) | (~node17(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 78.11/50.40 tff(6976,plain,
% 78.11/50.40 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s0)) | (~node17(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6975, 1172, 6972])).
% 78.11/50.40 tff(6977,plain,
% 78.11/50.40 (~m_c_h_element_v_in2(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6976, 6968])).
% 78.11/50.40 tff(6978,plain,
% 78.11/50.40 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s0)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | m_c_h_element_v_in2(c_e_h_1, c_f, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s0)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | m_c_h_element_v_in2(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6979,plain,
% 78.11/50.40 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s0)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | m_c_h_element_v_in2(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6980,plain,
% 78.11/50.40 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s0)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | m_c_h_element_v_in2(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 78.11/50.40 tff(6981,plain,
% 78.11/50.40 ((~node16(c_e_h_1, c_f, s0)) | m_c_h_element_v_in2(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6980, 559, 6972])).
% 78.11/50.40 tff(6982,plain,
% 78.11/50.40 (~node16(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6981, 6977])).
% 78.11/50.40 tff(6983,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6984,plain,
% 78.11/50.40 ((node16(c_e_h_1, c_f, s0) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1))) <=> (node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6985,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s0) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0)))),
% 78.11/50.40 inference(monotonicity,[status(thm)],[6984])).
% 78.11/50.40 tff(6986,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s0) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0))),
% 78.11/50.40 inference(transitivity,[status(thm)],[6985, 6983])).
% 78.11/50.40 tff(6987,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s0) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6988,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | (~node19(c_e_h_1, c_f, s0, s1)) | node16(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 78.11/50.40 tff(6989,plain,
% 78.11/50.40 (node14(c_e_h_1, c_f, s0, s1) | node15(c_e_h_1, c_f, s0, s1) | node16(c_e_h_1, c_f, s0)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6988, 594, 6960])).
% 78.11/50.40 tff(6990,plain,
% 78.11/50.40 (node14(c_e_h_1, c_f, s0, s1)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6989, 6982, 6949])).
% 78.11/50.40 tff(6991,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6992,plain,
% 78.11/50.40 (((~node14(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1))) <=> (m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(6993,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1))))),
% 78.11/50.40 inference(monotonicity,[status(thm)],[6992])).
% 78.11/50.40 tff(6994,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1)))),
% 78.11/50.40 inference(transitivity,[status(thm)],[6993, 6991])).
% 78.11/50.40 tff(6995,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(6996,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s0) | (~m_c_h_element_v_out(c_e_h_1, c_f, s1)) | (~node14(c_e_h_1, c_f, s0, s1))),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 78.11/50.40 tff(6997,plain,
% 78.11/50.40 ($false),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[6996, 575, 6938, 6972, 6990])).
% 78.11/50.40 tff(6998,plain,(~m_c_h_element_v_out(c_e_h_1, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.40 tff(6999,assumption,(node15(c_e_h_1, c_f, s1, s2)), introduced(assumption)).
% 78.11/50.40 tff(7000,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s1)), introduced(assumption)).
% 78.11/50.40 tff(7001,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node15(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node15(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(7002,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node15(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(7003,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node15(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 78.11/50.40 tff(7004,plain,
% 78.11/50.40 ($false),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[7003, 612, 7000, 6921, 6999])).
% 78.11/50.40 tff(7005,plain,((~node15(c_e_h_1, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.40 tff(7006,plain,
% 78.11/50.40 ((~node15(c_e_h_1, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[7005, 6998])).
% 78.11/50.40 tff(7007,plain,
% 78.11/50.40 (~node15(c_e_h_1, c_f, s1, s2)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[7006, 6921])).
% 78.11/50.40 tff(7008,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_f, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_f, s1, s2))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(7009,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_1, c_f, s1, s2))),
% 78.11/50.40 inference(quant_inst,[status(thm)],[])).
% 78.11/50.40 tff(7010,plain,
% 78.11/50.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_1, c_f, s1, s2)),
% 78.11/50.40 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 78.11/50.40 tff(7011,plain,
% 78.11/50.40 (node19(c_e_h_1, c_f, s1, s2)),
% 78.11/50.40 inference(unit_resolution,[status(thm)],[7010, 494, 265])).
% 78.11/50.40 tff(7012,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(7013,plain,
% 78.11/50.40 ((node16(c_e_h_1, c_f, s1) | node14(c_e_h_1, c_f, s1, s2) | node15(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2))) <=> (node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1))),
% 78.11/50.40 inference(rewrite,[status(thm)],[])).
% 78.11/50.40 tff(7014,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s1) | node14(c_e_h_1, c_f, s1, s2) | node15(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1)))),
% 78.11/50.40 inference(monotonicity,[status(thm)],[7013])).
% 78.11/50.40 tff(7015,plain,
% 78.11/50.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s1) | node14(c_e_h_1, c_f, s1, s2) | node15(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7014, 7012])).
% 78.11/50.41 tff(7016,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s1) | node14(c_e_h_1, c_f, s1, s2) | node15(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7017,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 78.11/50.41 tff(7018,plain,
% 78.11/50.41 (node14(c_e_h_1, c_f, s1, s2) | node15(c_e_h_1, c_f, s1, s2) | node16(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7017, 594, 7011])).
% 78.11/50.41 tff(7019,plain,
% 78.11/50.41 (node16(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7018, 7007, 6937])).
% 78.11/50.41 tff(7020,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | m_c_h_element_v_in2(c_e_h_1, c_f, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | m_c_h_element_v_in2(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7021,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | m_c_h_element_v_in2(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7022,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s1)) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | m_c_h_element_v_in2(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 78.11/50.41 tff(7023,plain,
% 78.11/50.41 ((~node16(c_e_h_1, c_f, s1)) | m_c_h_element_v_in2(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7022, 559, 6925])).
% 78.11/50.41 tff(7024,plain,
% 78.11/50.41 (m_c_h_element_v_in2(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7023, 7019])).
% 78.11/50.41 tff(7025,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7026,plain,
% 78.11/50.41 ((m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)) | (~node17(c_e_h_1, c_f, s1))) <=> (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7027,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)) | (~node17(c_e_h_1, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1))))),
% 78.11/50.41 inference(monotonicity,[status(thm)],[7026])).
% 78.11/50.41 tff(7028,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)) | (~node17(c_e_h_1, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7027, 7025])).
% 78.11/50.41 tff(7029,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1)) | (~node17(c_e_h_1, c_f, s1)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7030,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s1) | (~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 78.11/50.41 tff(7031,plain,
% 78.11/50.41 ((~node17(c_e_h_1, c_f, s1)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7030, 1172, 6925])).
% 78.11/50.41 tff(7032,plain,
% 78.11/50.41 (~node17(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7031, 7024])).
% 78.11/50.41 tff(7033,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7034,plain,
% 78.11/50.41 ((node17(c_e_h_1, c_f, s1) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2))) <=> (node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7035,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s1) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1)))),
% 78.11/50.41 inference(monotonicity,[status(thm)],[7034])).
% 78.11/50.41 tff(7036,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s1) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7035, 7033])).
% 78.11/50.41 tff(7037,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s1) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7038,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s1, s2) | (~node19(c_e_h_1, c_f, s1, s2)) | node17(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 78.11/50.41 tff(7039,plain,
% 78.11/50.41 (node18(c_e_h_1, c_f, s1, s2) | node17(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7038, 508, 7011])).
% 78.11/50.41 tff(7040,plain,
% 78.11/50.41 (node18(c_e_h_1, c_f, s1, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7039, 7032])).
% 78.11/50.41 tff(7041,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7042,plain,
% 78.11/50.41 (((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~node18(c_e_h_1, c_f, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7043,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~node18(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2))))),
% 78.11/50.41 inference(monotonicity,[status(thm)],[7042])).
% 78.11/50.41 tff(7044,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~node18(c_e_h_1, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7043, 7041])).
% 78.11/50.41 tff(7045,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~node18(c_e_h_1, c_f, s1, s2)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7046,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s1) | (~m_c_h_element_v_out(c_e_h_1, c_f, s2)) | (~node18(c_e_h_1, c_f, s1, s2))),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 78.11/50.41 tff(7047,plain,
% 78.11/50.41 ($false),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7046, 481, 6998, 6921, 7040])).
% 78.11/50.41 tff(7048,plain,(~m_c_h_element_v_out(c_e_h_1, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.41 tff(7049,plain,
% 78.11/50.41 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7050,plain,
% 78.11/50.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7051,plain,
% 78.11/50.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s2)) | m_c_h_element_v_out(c_e_h_1, c_f, s2)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 78.11/50.41 tff(7052,plain,
% 78.11/50.41 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7051, 397, 7048])).
% 78.11/50.41 tff(7053,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s2))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7054,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s2))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7055,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s2)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 78.11/50.41 tff(7056,plain,
% 78.11/50.41 (~node20(c_e_h_1, c_q, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7055, 22, 7052])).
% 78.11/50.41 tff(7057,assumption,(node21(c_e_h_1, c_q, s2, s3)), introduced(assumption)).
% 78.11/50.41 tff(7058,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7059,plain,
% 78.11/50.41 ((node20(c_e_h_1, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node21(c_e_h_1, c_q, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7060,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node21(c_e_h_1, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3))))),
% 78.11/50.41 inference(monotonicity,[status(thm)],[7059])).
% 78.11/50.41 tff(7061,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node21(c_e_h_1, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3)))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7060, 7058])).
% 78.11/50.41 tff(7062,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node21(c_e_h_1, c_q, s2, s3)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7063,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | node20(c_e_h_1, c_q, s2) | (~node21(c_e_h_1, c_q, s2, s3))),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 78.11/50.41 tff(7064,plain,
% 78.11/50.41 ($false),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7063, 348, 6920, 7057, 7056])).
% 78.11/50.41 tff(7065,plain,((~node21(c_e_h_1, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.41 tff(7066,plain,
% 78.11/50.41 (~node21(c_e_h_1, c_q, s2, s3)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7065, 6920])).
% 78.11/50.41 tff(7067,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s2)), introduced(assumption)).
% 78.11/50.41 tff(7068,assumption,(node21(c_e_h_1, c_q, s1, s2)), introduced(assumption)).
% 78.11/50.41 tff(7069,plain,
% 78.11/50.41 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7070,plain,
% 78.11/50.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s1))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7071,plain,
% 78.11/50.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s1)) | m_c_h_element_v_out(c_e_h_1, c_f, s1)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 78.11/50.41 tff(7072,plain,
% 78.11/50.41 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7071, 397, 6998])).
% 78.11/50.41 tff(7073,plain,
% 78.11/50.41 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s1))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7074,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s1))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7075,plain,
% 78.11/50.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s1)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s1)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 78.11/50.41 tff(7076,plain,
% 78.11/50.41 (~node20(c_e_h_1, c_q, s1)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7075, 22, 7072])).
% 78.11/50.41 tff(7077,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7078,plain,
% 78.11/50.41 ((node20(c_e_h_1, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node21(c_e_h_1, c_q, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2)))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7079,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node21(c_e_h_1, c_q, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2))))),
% 78.11/50.41 inference(monotonicity,[status(thm)],[7078])).
% 78.11/50.41 tff(7080,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node21(c_e_h_1, c_q, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2)))),
% 78.11/50.41 inference(transitivity,[status(thm)],[7079, 7077])).
% 78.11/50.41 tff(7081,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node21(c_e_h_1, c_q, s1, s2)))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7082,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | node20(c_e_h_1, c_q, s1) | (~node21(c_e_h_1, c_q, s1, s2))),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7081, 7080])).
% 78.11/50.41 tff(7083,plain,
% 78.11/50.41 ($false),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7082, 348, 7067, 7076, 7068])).
% 78.11/50.41 tff(7084,plain,((~node21(c_e_h_1, c_q, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.41 tff(7085,plain,
% 78.11/50.41 (~node21(c_e_h_1, c_q, s1, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7084, 7067])).
% 78.11/50.41 tff(7086,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_q, s1, s2) | node22(c_e_h_1, c_q, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_q, s1, s2) | node22(c_e_h_1, c_q, s1, s2))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7087,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_q, s1, s2) | node22(c_e_h_1, c_q, s1, s2))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7088,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_q, s1, s2) | node22(c_e_h_1, c_q, s1, s2)),
% 78.11/50.41 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 78.11/50.41 tff(7089,plain,
% 78.11/50.41 (node21(c_e_h_1, c_q, s1, s2) | node22(c_e_h_1, c_q, s1, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7088, 383, 265])).
% 78.11/50.41 tff(7090,plain,
% 78.11/50.41 (node22(c_e_h_1, c_q, s1, s2)),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7089, 7085])).
% 78.11/50.41 tff(7091,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s1)), introduced(assumption)).
% 78.11/50.41 tff(7092,assumption,(node22(c_e_h_1, c_q, s0, s1)), introduced(assumption)).
% 78.11/50.41 tff(7093,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s0)), introduced(assumption)).
% 78.11/50.41 tff(7094,plain,
% 78.11/50.41 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s0))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7095,plain,
% 78.11/50.41 ($false),
% 78.11/50.41 inference(unit_resolution,[status(thm)],[7094, 424, 7093])).
% 78.11/50.41 tff(7096,plain,(~m_and_h_gate_v_out(c_e_h_1, c_q, s0)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.41 tff(7097,plain,
% 78.11/50.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node22(c_e_h_1, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node22(c_e_h_1, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))),
% 78.11/50.41 inference(rewrite,[status(thm)],[])).
% 78.11/50.41 tff(7098,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node22(c_e_h_1, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))),
% 78.11/50.41 inference(quant_inst,[status(thm)],[])).
% 78.11/50.41 tff(7099,plain,
% 78.11/50.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node22(c_e_h_1, c_q, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 78.11/50.42 tff(7100,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7099, 437, 7091, 7096, 7092])).
% 78.11/50.42 tff(7101,plain,((~node22(c_e_h_1, c_q, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7102,plain,
% 78.11/50.42 (~node22(c_e_h_1, c_q, s0, s1)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7101, 7091])).
% 78.11/50.42 tff(7103,plain,
% 78.11/50.42 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s0)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s0)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7104,plain,
% 78.11/50.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s0)) | m_c_h_element_v_out(c_e_h_1, c_f, s0))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7105,plain,
% 78.11/50.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s0)) | m_c_h_element_v_out(c_e_h_1, c_f, s0)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 78.11/50.42 tff(7106,plain,
% 78.11/50.42 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s0)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7105, 397, 6943])).
% 78.11/50.42 tff(7107,plain,
% 78.11/50.42 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s0))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7108,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s0))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7109,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s0)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s0)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 78.11/50.42 tff(7110,plain,
% 78.11/50.42 (~node20(c_e_h_1, c_q, s0)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7109, 22, 7106])).
% 78.11/50.42 tff(7111,assumption,(~node20(c_e_h_1, c_q, s0)), introduced(assumption)).
% 78.11/50.42 tff(7112,assumption,(node21(c_e_h_1, c_q, s0, s1)), introduced(assumption)).
% 78.11/50.42 tff(7113,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node21(c_e_h_1, c_q, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node21(c_e_h_1, c_q, s0, s1)))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7114,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node21(c_e_h_1, c_q, s0, s1)))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7115,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_q, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | (~node21(c_e_h_1, c_q, s0, s1))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 78.11/50.42 tff(7116,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7115, 348, 7091, 7112, 7111])).
% 78.11/50.42 tff(7117,plain,((~node21(c_e_h_1, c_q, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1)) | node20(c_e_h_1, c_q, s0)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7118,plain,
% 78.11/50.42 ((~node21(c_e_h_1, c_q, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s1))),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7117, 7110])).
% 78.11/50.42 tff(7119,plain,
% 78.11/50.42 (~node21(c_e_h_1, c_q, s0, s1)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7118, 7091])).
% 78.11/50.42 tff(7120,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_q, s0, s1) | node22(c_e_h_1, c_q, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_q, s0, s1) | node22(c_e_h_1, c_q, s0, s1))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7121,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_q, s0, s1) | node22(c_e_h_1, c_q, s0, s1))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7122,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_q, s0, s1) | node22(c_e_h_1, c_q, s0, s1)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7121, 7120])).
% 78.11/50.42 tff(7123,plain,
% 78.11/50.42 (node21(c_e_h_1, c_q, s0, s1) | node22(c_e_h_1, c_q, s0, s1)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7122, 383, 183])).
% 78.11/50.42 tff(7124,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7123, 7119, 7102])).
% 78.11/50.42 tff(7125,plain,(~m_and_h_gate_v_out(c_e_h_1, c_q, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7126,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node22(c_e_h_1, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node22(c_e_h_1, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7127,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node22(c_e_h_1, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7128,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s2)) | (~node22(c_e_h_1, c_q, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 78.11/50.42 tff(7129,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7128, 437, 7125, 7067, 7090])).
% 78.11/50.42 tff(7130,plain,(~m_and_h_gate_v_out(c_e_h_1, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7131,assumption,(node22(c_e_h_1, c_q, s2, s3)), introduced(assumption)).
% 78.11/50.42 tff(7132,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s2)), introduced(assumption)).
% 78.11/50.42 tff(7133,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node22(c_e_h_1, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node22(c_e_h_1, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7134,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node22(c_e_h_1, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7135,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | (~node22(c_e_h_1, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 78.11/50.42 tff(7136,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7135, 437, 6920, 7132, 7131])).
% 78.11/50.42 tff(7137,plain,((~node22(c_e_h_1, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7138,plain,
% 78.11/50.42 ((~node22(c_e_h_1, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s3))),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7137, 7130])).
% 78.11/50.42 tff(7139,plain,
% 78.11/50.42 (~node22(c_e_h_1, c_q, s2, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7138, 6920])).
% 78.11/50.42 tff(7140,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_q, s2, s3) | node22(c_e_h_1, c_q, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_q, s2, s3) | node22(c_e_h_1, c_q, s2, s3))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7141,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_q, s2, s3) | node22(c_e_h_1, c_q, s2, s3))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7142,plain,
% 78.11/50.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_q, s2, s3) | node22(c_e_h_1, c_q, s2, s3)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 78.11/50.42 tff(7143,plain,
% 78.11/50.42 (node21(c_e_h_1, c_q, s2, s3) | node22(c_e_h_1, c_q, s2, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7142, 383, 463])).
% 78.11/50.42 tff(7144,plain,
% 78.11/50.42 ($false),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7143, 7139, 7066])).
% 78.11/50.42 tff(7145,plain,(~m_and_h_gate_v_out(c_e_h_1, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.42 tff(7146,plain,
% 78.11/50.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s3))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7147,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s3))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7148,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s3)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 78.11/50.42 tff(7149,plain,
% 78.11/50.42 (node3(c_e_h_1, c_e_h_2, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7148, 2823, 1791])).
% 78.11/50.42 tff(7150,plain,
% 78.11/50.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s3)) | (~node3(c_e_h_1, c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s3)) | (~node3(c_e_h_1, c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7151,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s3)) | (~node3(c_e_h_1, c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7152,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s3)) | (~node3(c_e_h_1, c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 78.11/50.42 tff(7153,plain,
% 78.11/50.42 ((~m_cell_v_ack(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7152, 1808, 7149])).
% 78.11/50.42 tff(7154,plain,
% 78.11/50.42 (~m_cell_v_ack(c_e_h_2, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7153, 7145])).
% 78.11/50.42 tff(7155,plain,
% 78.11/50.42 (^[I0: $i, X: $i, J0: $i] : refl(((~m_cell_v_left(I0, J0)) | node2(I0, J0, X)) <=> ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X)))),
% 78.11/50.42 inference(bind,[status(th)],[])).
% 78.11/50.42 tff(7156,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))),
% 78.11/50.42 inference(quant_intro,[status(thm)],[7155])).
% 78.11/50.42 tff(7157,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7158,axiom,(![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_14')).
% 78.11/50.42 tff(7159,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 78.11/50.42 tff(7160,plain,(
% 78.11/50.42 ![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))),
% 78.11/50.42 inference(skolemize,[status(sab)],[7159])).
% 78.11/50.42 tff(7161,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7160, 7156])).
% 78.11/50.42 tff(7162,plain,
% 78.11/50.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s3))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7163,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s3))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7164,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s3)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 78.11/50.42 tff(7165,plain,
% 78.11/50.42 (node2(c_e_h_1, c_e_h_2, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7164, 2823, 7161])).
% 78.11/50.42 tff(7166,plain,
% 78.11/50.42 (^[I0: $i, X: $i, J0: $i] : refl(((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)) <=> ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.11/50.42 inference(bind,[status(th)],[])).
% 78.11/50.42 tff(7167,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(quant_intro,[status(thm)],[7166])).
% 78.11/50.42 tff(7168,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7169,plain,
% 78.11/50.42 (^[I0: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_and_h_gate_v_in2(I0, c_c, X) | m_cell_v_ack(J0, X)) <=> (m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))), (((m_and_h_gate_v_in2(I0, c_c, X) | m_cell_v_ack(J0, X)) | (~node2(I0, J0, X))) <=> ((m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)) | (~node2(I0, J0, X))))), rewrite(((m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X)) | (~node2(I0, J0, X))) <=> ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))), (((m_and_h_gate_v_in2(I0, c_c, X) | m_cell_v_ack(J0, X)) | (~node2(I0, J0, X))) <=> ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))))),
% 78.11/50.42 inference(bind,[status(th)],[])).
% 78.11/50.42 tff(7170,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((m_and_h_gate_v_in2(I0, c_c, X) | m_cell_v_ack(J0, X)) | (~node2(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(quant_intro,[status(thm)],[7169])).
% 78.11/50.42 tff(7171,axiom,(![I0: $i, X: $i, J0: $i] : ((m_and_h_gate_v_in2(I0, c_c, X) | m_cell_v_ack(J0, X)) | (~node2(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_12')).
% 78.11/50.42 tff(7172,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 78.11/50.42 tff(7173,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7172, 7168])).
% 78.11/50.42 tff(7174,plain,(
% 78.11/50.42 ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(skolemize,[status(sab)],[7173])).
% 78.11/50.42 tff(7175,plain,
% 78.11/50.42 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7174, 7167])).
% 78.11/50.42 tff(7176,plain,
% 78.11/50.42 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s3)) | m_cell_v_ack(c_e_h_2, s3) | m_and_h_gate_v_in2(c_e_h_1, c_c, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s3)) | m_cell_v_ack(c_e_h_2, s3) | m_and_h_gate_v_in2(c_e_h_1, c_c, s3))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7177,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s3)) | m_cell_v_ack(c_e_h_2, s3) | m_and_h_gate_v_in2(c_e_h_1, c_c, s3))),
% 78.11/50.42 inference(quant_inst,[status(thm)],[])).
% 78.11/50.42 tff(7178,plain,
% 78.11/50.42 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s3)) | m_cell_v_ack(c_e_h_2, s3) | m_and_h_gate_v_in2(c_e_h_1, c_c, s3)),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 78.11/50.42 tff(7179,plain,
% 78.11/50.42 (m_cell_v_ack(c_e_h_2, s3) | m_and_h_gate_v_in2(c_e_h_1, c_c, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7178, 7175, 7165])).
% 78.11/50.42 tff(7180,plain,
% 78.11/50.42 (m_and_h_gate_v_in2(c_e_h_1, c_c, s3)),
% 78.11/50.42 inference(unit_resolution,[status(thm)],[7179, 7154])).
% 78.11/50.42 tff(7181,plain,
% 78.11/50.42 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) <=> ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)))),
% 78.11/50.42 inference(bind,[status(th)],[])).
% 78.11/50.42 tff(7182,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(quant_intro,[status(thm)],[7181])).
% 78.11/50.42 tff(7183,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7184,plain,
% 78.11/50.42 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) <=> ((~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))), (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) <=> (((~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) | (~m_and_h_gate_v_in2(I0, I1, X))))), rewrite((((~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) | (~m_and_h_gate_v_in2(I0, I1, X))) <=> ((~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))), (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) <=> ((~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)))), ((((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) | (~node21(I0, I1, X, Y))) <=> (((~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))))), rewrite((((~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y))) <=> ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))), ((((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) | (~node21(I0, I1, X, Y))) <=> ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))))),
% 78.11/50.42 inference(bind,[status(th)],[])).
% 78.11/50.42 tff(7185,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) | (~node21(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(quant_intro,[status(thm)],[7184])).
% 78.11/50.42 tff(7186,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((m_and_h_gate_v_out(I0, I1, Y) | (~m_and_h_gate_v_in1(I0, I1, X))) | (~m_and_h_gate_v_in2(I0, I1, X))) | (~node21(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_4')).
% 78.11/50.42 tff(7187,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 78.11/50.42 tff(7188,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7187, 7183])).
% 78.11/50.42 tff(7189,plain,(
% 78.11/50.42 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(skolemize,[status(sab)],[7188])).
% 78.11/50.42 tff(7190,plain,
% 78.11/50.42 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))),
% 78.11/50.42 inference(modus_ponens,[status(thm)],[7189, 7182])).
% 78.11/50.42 tff(7191,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7192,plain,
% 78.11/50.42 (((~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)))),
% 78.11/50.42 inference(rewrite,[status(thm)],[])).
% 78.11/50.42 tff(7193,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3))))),
% 78.11/50.42 inference(monotonicity,[status(thm)],[7192])).
% 78.11/50.42 tff(7194,plain,
% 78.11/50.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)))),
% 78.11/50.43 inference(transitivity,[status(thm)],[7193, 7191])).
% 78.11/50.43 tff(7195,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7196,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 78.11/50.43 tff(7197,plain,
% 78.11/50.43 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7196, 7190, 7180, 6919, 6735])).
% 78.11/50.43 tff(7198,assumption,(node22(c_e_h_1, c_c, s2, s3)), introduced(assumption)).
% 78.11/50.43 tff(7199,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node22(c_e_h_1, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node22(c_e_h_1, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7200,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node22(c_e_h_1, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7201,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node22(c_e_h_1, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_c, s2)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 78.11/50.43 tff(7202,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7201, 437, 6893, 7198, 2805])).
% 78.11/50.43 tff(7203,plain,((~node22(c_e_h_1, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7204,plain,
% 78.11/50.43 (~node22(c_e_h_1, c_c, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7203, 6893])).
% 78.11/50.43 tff(7205,assumption,(~node20(c_e_h_1, c_c, s2)), introduced(assumption)).
% 78.11/50.43 tff(7206,assumption,(node21(c_e_h_1, c_c, s2, s3)), introduced(assumption)).
% 78.11/50.43 tff(7207,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7208,plain,
% 78.11/50.43 ((node20(c_e_h_1, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node21(c_e_h_1, c_c, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7209,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node21(c_e_h_1, c_c, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3))))),
% 78.11/50.43 inference(monotonicity,[status(thm)],[7208])).
% 78.11/50.43 tff(7210,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node21(c_e_h_1, c_c, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3)))),
% 78.11/50.43 inference(transitivity,[status(thm)],[7209, 7207])).
% 78.11/50.43 tff(7211,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | (~node21(c_e_h_1, c_c, s2, s3)))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7212,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2) | (~node21(c_e_h_1, c_c, s2, s3))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 78.11/50.43 tff(7213,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7212, 348, 6893, 7206, 7205])).
% 78.11/50.43 tff(7214,plain,((~node21(c_e_h_1, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7215,plain,
% 78.11/50.43 (~node21(c_e_h_1, c_c, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7214, 6893, 7205])).
% 78.11/50.43 tff(7216,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_c, s2, s3) | node22(c_e_h_1, c_c, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_c, s2, s3) | node22(c_e_h_1, c_c, s2, s3))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7217,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_c, s2, s3) | node22(c_e_h_1, c_c, s2, s3))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7218,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_c, s2, s3) | node22(c_e_h_1, c_c, s2, s3)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 78.11/50.43 tff(7219,plain,
% 78.11/50.43 (node21(c_e_h_1, c_c, s2, s3) | node22(c_e_h_1, c_c, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7218, 383, 463])).
% 78.11/50.43 tff(7220,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7219, 7215, 7204])).
% 78.11/50.43 tff(7221,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | node20(c_e_h_1, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7222,plain,
% 78.11/50.43 (node20(c_e_h_1, c_c, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7221, 6892])).
% 78.11/50.43 tff(7223,assumption,(node20(c_e_h_1, c_c, s2)), introduced(assumption)).
% 78.11/50.43 tff(7224,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)), introduced(assumption)).
% 78.11/50.43 tff(7225,plain,
% 78.11/50.43 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s2))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7226,plain,
% 78.11/50.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s2))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7227,plain,
% 78.11/50.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7226, 7225])).
% 78.11/50.43 tff(7228,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7227, 22, 7224, 7223])).
% 78.11/50.43 tff(7229,plain,((~node20(c_e_h_1, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7230,plain,
% 78.11/50.43 (m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7229, 7222])).
% 78.11/50.43 tff(7231,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s2)), introduced(assumption)).
% 78.11/50.43 tff(7232,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)), introduced(assumption)).
% 78.11/50.43 tff(7233,plain,
% 78.11/50.43 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7234,plain,
% 78.11/50.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7235,plain,
% 78.11/50.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 78.11/50.43 tff(7236,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7235, 2644, 7232, 7231])).
% 78.11/50.43 tff(7237,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7238,plain,
% 78.11/50.43 (m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7237, 7230])).
% 78.11/50.43 tff(7239,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s2)), introduced(assumption)).
% 78.11/50.43 tff(7240,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)), introduced(assumption)).
% 78.11/50.43 tff(7241,assumption,(node12(c_e_h_1, c_a, s1, s2)), introduced(assumption)).
% 78.11/50.43 tff(7242,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7243,plain,
% 78.11/50.43 (((~node12(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7244,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2))))),
% 78.11/50.43 inference(monotonicity,[status(thm)],[7243])).
% 78.11/50.43 tff(7245,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2)))),
% 78.11/50.43 inference(transitivity,[status(thm)],[7244, 7242])).
% 78.11/50.43 tff(7246,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7247,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s1, s2))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7246, 7245])).
% 78.11/50.43 tff(7248,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7247, 1082, 7241, 7239, 7240])).
% 78.11/50.43 tff(7249,plain,((~node12(c_e_h_1, c_a, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7250,plain,
% 78.11/50.43 (~node12(c_e_h_1, c_a, s1, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7249, 7239, 7240])).
% 78.11/50.43 tff(7251,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_1, c_a, s1, s2) | node13(c_e_h_1, c_a, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_1, c_a, s1, s2) | node13(c_e_h_1, c_a, s1, s2))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7252,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_1, c_a, s1, s2) | node13(c_e_h_1, c_a, s1, s2))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7253,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_1, c_a, s1, s2) | node13(c_e_h_1, c_a, s1, s2)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 78.11/50.43 tff(7254,plain,
% 78.11/50.43 (node12(c_e_h_1, c_a, s1, s2) | node13(c_e_h_1, c_a, s1, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7253, 1020, 265])).
% 78.11/50.43 tff(7255,plain,
% 78.11/50.43 (node13(c_e_h_1, c_a, s1, s2)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7254, 7250])).
% 78.11/50.43 tff(7256,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7257,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7258,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s1)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 78.11/50.43 tff(7259,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7258, 1004, 7255, 7239, 2789])).
% 78.11/50.43 tff(7260,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7261,plain,
% 78.11/50.43 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7260, 7239])).
% 78.11/50.43 tff(7262,plain,
% 78.11/50.43 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)) | m_user_v_req(c_e_h_1, c_u, s1))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)) | m_user_v_req(c_e_h_1, c_u, s1))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7263,plain,
% 78.11/50.43 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)) | m_user_v_req(c_e_h_1, c_u, s1))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7264,plain,
% 78.11/50.43 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)) | m_user_v_req(c_e_h_1, c_u, s1)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 78.11/50.43 tff(7265,plain,
% 78.11/50.43 (m_user_v_req(c_e_h_1, c_u, s1)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7264, 2765, 7261])).
% 78.11/50.43 tff(7266,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), introduced(assumption)).
% 78.11/50.43 tff(7267,assumption,(node13(c_e_h_1, c_a, s2, s3)), introduced(assumption)).
% 78.11/50.43 tff(7268,plain,
% 78.11/50.43 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X))) <=> (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X))))),
% 78.11/50.43 inference(bind,[status(th)],[])).
% 78.11/50.43 tff(7269,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(quant_intro,[status(thm)],[7268])).
% 78.11/50.43 tff(7270,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7271,plain,
% 78.11/50.43 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) <=> (m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X)))), (((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y))) <=> ((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y))))), rewrite(((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y))) <=> (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))), (((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y))) <=> (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))))),
% 78.11/50.43 inference(bind,[status(th)],[])).
% 78.11/50.43 tff(7272,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(quant_intro,[status(thm)],[7271])).
% 78.11/50.43 tff(7273,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_out(I0, I1, X))) | (~node13(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_4')).
% 78.11/50.43 tff(7274,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 78.11/50.43 tff(7275,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7274, 7270])).
% 78.11/50.43 tff(7276,plain,(
% 78.11/50.43 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(skolemize,[status(sab)],[7275])).
% 78.11/50.43 tff(7277,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7276, 7269])).
% 78.11/50.43 tff(7278,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7279,plain,
% 78.11/50.43 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~node13(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2))) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7280,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~node13(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3))))),
% 78.11/50.43 inference(monotonicity,[status(thm)],[7279])).
% 78.11/50.43 tff(7281,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~node13(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.43 inference(transitivity,[status(thm)],[7280, 7278])).
% 78.11/50.43 tff(7282,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~node13(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7283,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | (~node13(c_e_h_1, c_a, s2, s3))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 78.11/50.43 tff(7284,plain,
% 78.11/50.43 ($false),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7283, 7277, 7267, 7266, 7239])).
% 78.11/50.43 tff(7285,plain,((~node13(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.43 tff(7286,plain,
% 78.11/50.43 (~node13(c_e_h_1, c_a, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7285, 7239, 7266])).
% 78.11/50.43 tff(7287,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_1, c_a, s2, s3) | node13(c_e_h_1, c_a, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_1, c_a, s2, s3) | node13(c_e_h_1, c_a, s2, s3))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7288,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_1, c_a, s2, s3) | node13(c_e_h_1, c_a, s2, s3))),
% 78.11/50.43 inference(quant_inst,[status(thm)],[])).
% 78.11/50.43 tff(7289,plain,
% 78.11/50.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_1, c_a, s2, s3) | node13(c_e_h_1, c_a, s2, s3)),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 78.11/50.43 tff(7290,plain,
% 78.11/50.43 (node12(c_e_h_1, c_a, s2, s3) | node13(c_e_h_1, c_a, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7289, 1020, 463])).
% 78.11/50.43 tff(7291,plain,
% 78.11/50.43 (node12(c_e_h_1, c_a, s2, s3)),
% 78.11/50.43 inference(unit_resolution,[status(thm)],[7290, 7286])).
% 78.11/50.43 tff(7292,plain,
% 78.11/50.43 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)) <=> ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)))),
% 78.11/50.43 inference(bind,[status(th)],[])).
% 78.11/50.43 tff(7293,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(quant_intro,[status(thm)],[7292])).
% 78.11/50.43 tff(7294,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(rewrite,[status(thm)],[])).
% 78.11/50.43 tff(7295,plain,
% 78.11/50.43 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_inp(I0, I1, X))) <=> ((~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))), (((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_inp(I0, I1, X))) | (~node12(I0, I1, X, Y))) <=> (((~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)) | (~node12(I0, I1, X, Y))))), rewrite((((~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y)) | (~node12(I0, I1, X, Y))) <=> ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))), (((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_inp(I0, I1, X))) | (~node12(I0, I1, X, Y))) <=> ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))))),
% 78.11/50.43 inference(bind,[status(th)],[])).
% 78.11/50.43 tff(7296,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_inp(I0, I1, X))) | (~node12(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(quant_intro,[status(thm)],[7295])).
% 78.11/50.43 tff(7297,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_mutex_h_half_v_out(I0, I1, Y) | (~m_mutex_h_half_v_inp(I0, I1, X))) | (~node12(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_2')).
% 78.11/50.43 tff(7298,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 78.11/50.43 tff(7299,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7298, 7294])).
% 78.11/50.43 tff(7300,plain,(
% 78.11/50.43 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(skolemize,[status(sab)],[7299])).
% 78.11/50.43 tff(7301,plain,
% 78.11/50.43 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))),
% 78.11/50.43 inference(modus_ponens,[status(thm)],[7300, 7293])).
% 78.11/50.43 tff(7302,plain,
% 78.11/50.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7303,plain,
% 78.11/50.44 (((~node12(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7304,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3))))),
% 78.11/50.44 inference(monotonicity,[status(thm)],[7303])).
% 78.11/50.44 tff(7305,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.11/50.44 inference(transitivity,[status(thm)],[7304, 7302])).
% 78.11/50.44 tff(7306,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7307,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | (~node12(c_e_h_1, c_a, s2, s3))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 78.11/50.44 tff(7308,plain,
% 78.11/50.44 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7307, 7301, 7291, 7266])).
% 78.11/50.44 tff(7309,plain,
% 78.11/50.44 (^[I0: $i, X: $i] : refl(((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X)) <=> ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7310,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7309])).
% 78.11/50.44 tff(7311,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7312,plain,
% 78.11/50.44 (^[I0: $i, X: $i] : rewrite((m_mutex_h_half_v_inp(I0, c_a, X) | (~m_user_v_req(I0, c_u, X))) <=> ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7313,plain,
% 78.11/50.44 (![I0: $i, X: $i] : (m_mutex_h_half_v_inp(I0, c_a, X) | (~m_user_v_req(I0, c_u, X))) <=> ![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7312])).
% 78.11/50.44 tff(7314,axiom,(![I0: $i, X: $i] : (m_mutex_h_half_v_inp(I0, c_a, X) | (~m_user_v_req(I0, c_u, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_1')).
% 78.11/50.44 tff(7315,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 78.11/50.44 tff(7316,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7315, 7311])).
% 78.11/50.44 tff(7317,plain,(
% 78.11/50.44 ![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7316])).
% 78.11/50.44 tff(7318,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7317, 7310])).
% 78.11/50.44 tff(7319,plain,
% 78.11/50.44 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7320,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7321,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 78.11/50.44 tff(7322,plain,
% 78.11/50.44 (~m_user_v_req(c_e_h_1, c_u, s2)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7321, 7318, 7308])).
% 78.11/50.44 tff(7323,assumption,(~m_user_v_req(c_e_h_1, c_u, s2)), introduced(assumption)).
% 78.11/50.44 tff(7324,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s1)), introduced(assumption)).
% 78.11/50.44 tff(7325,assumption,(node22(c_e_h_1, c_r, s0, s1)), introduced(assumption)).
% 78.11/50.44 tff(7326,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s0)), introduced(assumption)).
% 78.11/50.44 tff(7327,plain,
% 78.11/50.44 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s0))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7328,plain,
% 78.11/50.44 ($false),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7327, 424, 7326])).
% 78.11/50.44 tff(7329,plain,(~m_and_h_gate_v_out(c_e_h_1, c_r, s0)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.44 tff(7330,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node22(c_e_h_1, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node22(c_e_h_1, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7331,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node22(c_e_h_1, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7332,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node22(c_e_h_1, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 78.11/50.44 tff(7333,plain,
% 78.11/50.44 ($false),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7332, 437, 7329, 7325, 7324])).
% 78.11/50.44 tff(7334,plain,((~node22(c_e_h_1, c_r, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.44 tff(7335,plain,
% 78.11/50.44 (~node22(c_e_h_1, c_r, s0, s1)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7334, 7324])).
% 78.11/50.44 tff(7336,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_r, s0, s1) | node22(c_e_h_1, c_r, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_r, s0, s1) | node22(c_e_h_1, c_r, s0, s1))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7337,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_1, c_r, s0, s1) | node22(c_e_h_1, c_r, s0, s1))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7338,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_1, c_r, s0, s1) | node22(c_e_h_1, c_r, s0, s1)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 78.11/50.44 tff(7339,plain,
% 78.11/50.44 (node21(c_e_h_1, c_r, s0, s1) | node22(c_e_h_1, c_r, s0, s1)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7338, 383, 183])).
% 78.11/50.44 tff(7340,plain,
% 78.11/50.44 (node21(c_e_h_1, c_r, s0, s1)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7339, 7335])).
% 78.11/50.44 tff(7341,plain,
% 78.11/50.44 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7342,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7341])).
% 78.11/50.44 tff(7343,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7344,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_74')).
% 78.11/50.44 tff(7345,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 78.11/50.44 tff(7346,plain,(
% 78.11/50.44 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7345])).
% 78.11/50.44 tff(7347,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7346, 7342])).
% 78.11/50.44 tff(7348,plain,
% 78.11/50.44 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7349,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7350,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s0)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s0)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 78.11/50.44 tff(7351,plain,
% 78.11/50.44 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s0)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7350, 7347, 3831])).
% 78.11/50.44 tff(7352,plain,
% 78.11/50.44 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s0))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7353,plain,
% 78.11/50.44 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s0))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7354,plain,
% 78.11/50.44 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s0)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s0)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 78.11/50.44 tff(7355,plain,
% 78.11/50.44 (~node20(c_e_h_1, c_r, s0)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7354, 334, 7351])).
% 78.11/50.44 tff(7356,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node21(c_e_h_1, c_r, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node21(c_e_h_1, c_r, s0, s1)))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7357,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node21(c_e_h_1, c_r, s0, s1)))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7358,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s1)) | (~node21(c_e_h_1, c_r, s0, s1))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 78.11/50.44 tff(7359,plain,
% 78.11/50.44 ($false),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7358, 348, 7355, 7340, 7324])).
% 78.11/50.44 tff(7360,plain,(~m_and_h_gate_v_out(c_e_h_1, c_r, s1)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.44 tff(7361,plain,
% 78.11/50.44 (^[I0: $i, X: $i] : refl(((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X)) <=> ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7362,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7361])).
% 78.11/50.44 tff(7363,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7364,axiom,(![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_81')).
% 78.11/50.44 tff(7365,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 78.11/50.44 tff(7366,plain,(
% 78.11/50.44 ![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7365])).
% 78.11/50.44 tff(7367,plain,
% 78.11/50.44 (![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7366, 7362])).
% 78.11/50.44 tff(7368,plain,
% 78.11/50.44 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7369,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7370,plain,
% 78.11/50.44 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s1)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 78.11/50.44 tff(7371,plain,
% 78.11/50.44 (~m_user_v_ack(c_e_h_1, c_u, s1)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7370, 7367, 7360])).
% 78.11/50.44 tff(7372,assumption,(node7(c_e_h_1, c_u, s1, s2)), introduced(assumption)).
% 78.11/50.44 tff(7373,assumption,(~m_user_v_ack(c_e_h_1, c_u, s1)), introduced(assumption)).
% 78.11/50.44 tff(7374,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)) <=> ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7375,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7374])).
% 78.11/50.44 tff(7376,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7377,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_user_v_req(I0, I1, Y) | m_user_v_ack(I0, I1, X)) <=> (m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))), (((m_user_v_req(I0, I1, Y) | m_user_v_ack(I0, I1, X)) | (~node7(I0, I1, X, Y))) <=> ((m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)) | (~node7(I0, I1, X, Y))))), rewrite(((m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y)) | (~node7(I0, I1, X, Y))) <=> ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))), (((m_user_v_req(I0, I1, Y) | m_user_v_ack(I0, I1, X)) | (~node7(I0, I1, X, Y))) <=> ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7378,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_user_v_req(I0, I1, Y) | m_user_v_ack(I0, I1, X)) | (~node7(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7377])).
% 78.11/50.44 tff(7379,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_user_v_req(I0, I1, Y) | m_user_v_ack(I0, I1, X)) | (~node7(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_user_2')).
% 78.11/50.44 tff(7380,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 78.11/50.44 tff(7381,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7380, 7376])).
% 78.11/50.44 tff(7382,plain,(
% 78.11/50.44 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7381])).
% 78.11/50.44 tff(7383,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7382, 7375])).
% 78.11/50.44 tff(7384,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_ack(c_e_h_1, c_u, s1) | m_user_v_req(c_e_h_1, c_u, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_ack(c_e_h_1, c_u, s1) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7385,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_ack(c_e_h_1, c_u, s1) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7386,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_ack(c_e_h_1, c_u, s1) | m_user_v_req(c_e_h_1, c_u, s2)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 78.11/50.44 tff(7387,plain,
% 78.11/50.44 ($false),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7386, 7383, 7373, 7372, 7323])).
% 78.11/50.44 tff(7388,plain,((~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_ack(c_e_h_1, c_u, s1) | m_user_v_req(c_e_h_1, c_u, s2)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.44 tff(7389,plain,
% 78.11/50.44 ((~node7(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7388, 7371])).
% 78.11/50.44 tff(7390,plain,
% 78.11/50.44 (~node7(c_e_h_1, c_u, s1, s2)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7389, 7323])).
% 78.11/50.44 tff(7391,assumption,(m_user_v_req(c_e_h_1, c_u, s1)), introduced(assumption)).
% 78.11/50.44 tff(7392,assumption,(node8(c_e_h_1, c_u, s1, s2)), introduced(assumption)).
% 78.11/50.44 tff(7393,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X))) <=> (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X))))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7394,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7393])).
% 78.11/50.44 tff(7395,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7396,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) <=> (m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X)))), (((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y))) <=> ((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y))))), rewrite(((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y))) <=> (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))), (((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y))) <=> (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7397,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7396])).
% 78.11/50.44 tff(7398,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_user_v_req(I0, I1, Y) | (~m_user_v_req(I0, I1, X))) | (~node8(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_user_4')).
% 78.11/50.44 tff(7399,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 78.11/50.44 tff(7400,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7399, 7395])).
% 78.11/50.44 tff(7401,plain,(
% 78.11/50.44 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7400])).
% 78.11/50.44 tff(7402,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7401, 7394])).
% 78.11/50.44 tff(7403,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7404,plain,
% 78.11/50.44 ((m_user_v_req(c_e_h_1, c_u, s2) | (~node8(c_e_h_1, c_u, s1, s2)) | (~m_user_v_req(c_e_h_1, c_u, s1))) <=> ((~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7405,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s2) | (~node8(c_e_h_1, c_u, s1, s2)) | (~m_user_v_req(c_e_h_1, c_u, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2)))),
% 78.11/50.44 inference(monotonicity,[status(thm)],[7404])).
% 78.11/50.44 tff(7406,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s2) | (~node8(c_e_h_1, c_u, s1, s2)) | (~m_user_v_req(c_e_h_1, c_u, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.11/50.44 inference(transitivity,[status(thm)],[7405, 7403])).
% 78.11/50.44 tff(7407,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s2) | (~node8(c_e_h_1, c_u, s1, s2)) | (~m_user_v_req(c_e_h_1, c_u, s1)))),
% 78.11/50.44 inference(quant_inst,[status(thm)],[])).
% 78.11/50.44 tff(7408,plain,
% 78.11/50.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s1)) | (~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2)),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 78.11/50.44 tff(7409,plain,
% 78.11/50.44 ($false),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7408, 7402, 7392, 7323, 7391])).
% 78.11/50.44 tff(7410,plain,((~node8(c_e_h_1, c_u, s1, s2)) | m_user_v_req(c_e_h_1, c_u, s2) | (~m_user_v_req(c_e_h_1, c_u, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.44 tff(7411,plain,
% 78.11/50.44 (~node8(c_e_h_1, c_u, s1, s2)),
% 78.11/50.44 inference(unit_resolution,[status(thm)],[7410, 7323, 7391])).
% 78.11/50.44 tff(7412,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) <=> ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7413,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7412])).
% 78.11/50.44 tff(7414,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(rewrite,[status(thm)],[])).
% 78.11/50.44 tff(7415,plain,
% 78.11/50.44 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite(((node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) | (~trans(X, Y))) <=> ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y)))),
% 78.11/50.44 inference(bind,[status(th)],[])).
% 78.11/50.44 tff(7416,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(quant_intro,[status(thm)],[7415])).
% 78.11/50.44 tff(7417,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((node7(I0, I1, X, Y) | node8(I0, I1, X, Y)) | (~trans(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_user_6')).
% 78.11/50.44 tff(7418,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 78.11/50.44 tff(7419,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7418, 7414])).
% 78.11/50.44 tff(7420,plain,(
% 78.11/50.44 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(skolemize,[status(sab)],[7419])).
% 78.11/50.44 tff(7421,plain,
% 78.11/50.44 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))),
% 78.11/50.44 inference(modus_ponens,[status(thm)],[7420, 7413])).
% 78.11/50.44 tff(7422,plain,
% 78.11/50.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_1, c_u, s1, s2) | node8(c_e_h_1, c_u, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_1, c_u, s1, s2) | node8(c_e_h_1, c_u, s1, s2))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7423,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_1, c_u, s1, s2) | node8(c_e_h_1, c_u, s1, s2))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7424,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_1, c_u, s1, s2) | node8(c_e_h_1, c_u, s1, s2)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 78.11/50.45 tff(7425,plain,
% 78.11/50.45 (node7(c_e_h_1, c_u, s1, s2) | node8(c_e_h_1, c_u, s1, s2)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7424, 7421, 265])).
% 78.11/50.45 tff(7426,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7425, 7411, 7390])).
% 78.11/50.45 tff(7427,plain,(m_user_v_req(c_e_h_1, c_u, s2) | (~m_user_v_req(c_e_h_1, c_u, s1))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7428,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7427, 7322, 7265])).
% 78.11/50.45 tff(7429,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7430,plain,
% 78.11/50.45 (m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7429, 7238])).
% 78.11/50.45 tff(7431,plain,
% 78.11/50.45 (^[I0: $i, X: $i] : refl(((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X)) <=> ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X)))),
% 78.11/50.45 inference(bind,[status(th)],[])).
% 78.11/50.45 tff(7432,plain,
% 78.11/50.45 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(quant_intro,[status(thm)],[7431])).
% 78.11/50.45 tff(7433,plain,
% 78.11/50.45 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7434,plain,
% 78.11/50.45 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_c, X) | (~m_mutex_h_half_v_out(I0, c_a, X))) <=> ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X)))),
% 78.11/50.45 inference(bind,[status(th)],[])).
% 78.11/50.45 tff(7435,plain,
% 78.11/50.45 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_c, X) | (~m_mutex_h_half_v_out(I0, c_a, X))) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(quant_intro,[status(thm)],[7434])).
% 78.11/50.45 tff(7436,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_c, X) | (~m_mutex_h_half_v_out(I0, c_a, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_10')).
% 78.11/50.45 tff(7437,plain,
% 78.11/50.45 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 78.11/50.45 tff(7438,plain,
% 78.11/50.45 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7437, 7433])).
% 78.11/50.45 tff(7439,plain,(
% 78.11/50.45 ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(skolemize,[status(sab)],[7438])).
% 78.11/50.45 tff(7440,plain,
% 78.11/50.45 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7439, 7432])).
% 78.11/50.45 tff(7441,plain,
% 78.11/50.45 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7442,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7443,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 78.11/50.45 tff(7444,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7443, 7440, 7430, 7197])).
% 78.11/50.45 tff(7445,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7446,plain,
% 78.11/50.45 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7445, 6657])).
% 78.11/50.45 tff(7447,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s4)), introduced(assumption)).
% 78.11/50.45 tff(7448,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s4)), introduced(assumption)).
% 78.11/50.45 tff(7449,plain,
% 78.11/50.45 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7450,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7451,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 78.11/50.45 tff(7452,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7451, 4673, 7448, 7447])).
% 78.11/50.45 tff(7453,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7454,plain,
% 78.11/50.45 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7453, 7446])).
% 78.11/50.45 tff(7455,plain,
% 78.11/50.45 (~node18(c_e_h_1, c_h, s4, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6092, 6083, 6078])).
% 78.11/50.45 tff(7456,plain,
% 78.11/50.45 (node17(c_e_h_1, c_h, s4)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6104, 7455])).
% 78.11/50.45 tff(7457,assumption,(~node14(c_e_h_1, c_h, s4, s5)), introduced(assumption)).
% 78.11/50.45 tff(7458,plain,
% 78.11/50.45 (~node15(c_e_h_1, c_h, s4, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6120, 6083, 6078])).
% 78.11/50.45 tff(7459,plain,
% 78.11/50.45 (node16(c_e_h_1, c_h, s4)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6158, 7458, 7457])).
% 78.11/50.45 tff(7460,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6150, 7459, 7456])).
% 78.11/50.45 tff(7461,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s4) | node14(c_e_h_1, c_h, s4, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7462,plain,
% 78.11/50.45 (node14(c_e_h_1, c_h, s4, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5))),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7461, 5763])).
% 78.11/50.45 tff(7463,plain,
% 78.11/50.45 (node14(c_e_h_1, c_h, s4, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7462, 6078])).
% 78.11/50.45 tff(7464,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6168, 7463, 6078, 6124])).
% 78.11/50.45 tff(7465,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7466,plain,
% 78.11/50.45 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7465, 7454])).
% 78.11/50.45 tff(7467,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[6616, 8, 7466, 6593])).
% 78.11/50.45 tff(7468,plain,((~node20(c_e_h_1, c_i, s5)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7469,plain,
% 78.11/50.45 (~node20(c_e_h_1, c_i, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7468, 6258])).
% 78.11/50.45 tff(7470,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s6)), introduced(assumption)).
% 78.11/50.45 tff(7471,assumption,(node22(c_e_h_1, c_i, s5, s6)), introduced(assumption)).
% 78.11/50.45 tff(7472,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node22(c_e_h_1, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node22(c_e_h_1, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7473,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node22(c_e_h_1, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7474,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node22(c_e_h_1, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 78.11/50.45 tff(7475,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7474, 437, 5803, 7471, 7470])).
% 78.11/50.45 tff(7476,plain,((~node22(c_e_h_1, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7477,plain,
% 78.11/50.45 (~node22(c_e_h_1, c_i, s5, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7476, 7470, 5803])).
% 78.11/50.45 tff(7478,assumption,(~node20(c_e_h_1, c_i, s5)), introduced(assumption)).
% 78.11/50.45 tff(7479,assumption,(node21(c_e_h_1, c_i, s5, s6)), introduced(assumption)).
% 78.11/50.45 tff(7480,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node21(c_e_h_1, c_i, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node21(c_e_h_1, c_i, s5, s6)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7481,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node21(c_e_h_1, c_i, s5, s6)))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7482,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | (~node21(c_e_h_1, c_i, s5, s6))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 78.11/50.45 tff(7483,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7482, 348, 7479, 7470, 7478])).
% 78.11/50.45 tff(7484,plain,((~node21(c_e_h_1, c_i, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | node20(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7485,plain,
% 78.11/50.45 (~node21(c_e_h_1, c_i, s5, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7484, 7470, 7478])).
% 78.11/50.45 tff(7486,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_i, s5, s6) | node22(c_e_h_1, c_i, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_i, s5, s6) | node22(c_e_h_1, c_i, s5, s6))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7487,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_i, s5, s6) | node22(c_e_h_1, c_i, s5, s6))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7488,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_i, s5, s6) | node22(c_e_h_1, c_i, s5, s6)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 78.11/50.45 tff(7489,plain,
% 78.11/50.45 (node21(c_e_h_1, c_i, s5, s6) | node22(c_e_h_1, c_i, s5, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7488, 383, 1343])).
% 78.11/50.45 tff(7490,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7489, 7485, 7477])).
% 78.11/50.45 tff(7491,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | node20(c_e_h_1, c_i, s5) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7492,plain,
% 78.11/50.45 ((~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | node20(c_e_h_1, c_i, s5)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7491, 5801])).
% 78.11/50.45 tff(7493,plain,
% 78.11/50.45 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7492, 7469])).
% 78.11/50.45 tff(7494,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s6)), introduced(assumption)).
% 78.11/50.45 tff(7495,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s6)), introduced(assumption)).
% 78.11/50.45 tff(7496,plain,
% 78.11/50.45 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7497,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7498,plain,
% 78.11/50.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 78.11/50.45 tff(7499,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7498, 4785, 7495, 7494])).
% 78.11/50.45 tff(7500,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7501,plain,
% 78.11/50.45 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7500, 7493])).
% 78.11/50.45 tff(7502,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s6)), introduced(assumption)).
% 78.11/50.45 tff(7503,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.11/50.45 tff(7504,assumption,(~node14(c_e_h_1, c_e, s6, s7)), introduced(assumption)).
% 78.11/50.45 tff(7505,assumption,(~node15(c_e_h_1, c_e, s6, s7)), introduced(assumption)).
% 78.11/50.45 tff(7506,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s6)), introduced(assumption)).
% 78.11/50.45 tff(7507,assumption,(node14(c_e_h_1, c_e, s6, s7)), introduced(assumption)).
% 78.11/50.45 tff(7508,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7509,plain,
% 78.11/50.45 (((~node14(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7510,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7))))),
% 78.11/50.45 inference(monotonicity,[status(thm)],[7509])).
% 78.11/50.45 tff(7511,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(transitivity,[status(thm)],[7510, 7508])).
% 78.11/50.45 tff(7512,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7513,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~node14(c_e_h_1, c_e, s6, s7))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 78.11/50.45 tff(7514,plain,
% 78.11/50.45 ($false),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7513, 575, 7503, 7507, 7506])).
% 78.11/50.45 tff(7515,plain,((~node14(c_e_h_1, c_e, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.45 tff(7516,plain,
% 78.11/50.45 (~node14(c_e_h_1, c_e, s6, s7)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7515, 7503, 7506])).
% 78.11/50.45 tff(7517,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_e, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_e, s6, s7))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7518,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_e, s6, s7))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7519,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_e, s6, s7)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7518, 7517])).
% 78.11/50.45 tff(7520,plain,
% 78.11/50.45 (node19(c_e_h_1, c_e, s6, s7)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7519, 494, 1685])).
% 78.11/50.45 tff(7521,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7522,plain,
% 78.11/50.45 ((node16(c_e_h_1, c_e, s6) | node14(c_e_h_1, c_e, s6, s7) | node15(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7))) <=> (node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7523,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s6) | node14(c_e_h_1, c_e, s6, s7) | node15(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7))))),
% 78.11/50.45 inference(monotonicity,[status(thm)],[7522])).
% 78.11/50.45 tff(7524,plain,
% 78.11/50.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s6) | node14(c_e_h_1, c_e, s6, s7) | node15(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(transitivity,[status(thm)],[7523, 7521])).
% 78.11/50.45 tff(7525,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s6) | node14(c_e_h_1, c_e, s6, s7) | node15(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7526,plain,
% 78.11/50.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7))),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 78.11/50.45 tff(7527,plain,
% 78.11/50.45 (node16(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7) | node14(c_e_h_1, c_e, s6, s7)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7526, 594, 7520])).
% 78.11/50.45 tff(7528,plain,
% 78.11/50.45 (node16(c_e_h_1, c_e, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7527, 7516, 7505])).
% 78.11/50.45 tff(7529,plain,
% 78.11/50.45 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s6))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7530,plain,
% 78.11/50.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s6))),
% 78.11/50.45 inference(quant_inst,[status(thm)],[])).
% 78.11/50.45 tff(7531,plain,
% 78.11/50.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.45 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 78.11/50.45 tff(7532,plain,
% 78.11/50.45 ((~node16(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7531, 559, 7506])).
% 78.11/50.45 tff(7533,plain,
% 78.11/50.45 (m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.45 inference(unit_resolution,[status(thm)],[7532, 7528])).
% 78.11/50.45 tff(7534,plain,
% 78.11/50.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7535,plain,
% 78.11/50.45 ((m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | (~node17(c_e_h_1, c_e, s6))) <=> ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))),
% 78.11/50.45 inference(rewrite,[status(thm)],[])).
% 78.11/50.45 tff(7536,plain,
% 78.11/50.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | (~node17(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6))))),
% 78.11/50.46 inference(monotonicity,[status(thm)],[7535])).
% 78.11/50.46 tff(7537,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | (~node17(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(transitivity,[status(thm)],[7536, 7534])).
% 78.11/50.46 tff(7538,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)) | (~node17(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7539,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 78.11/50.46 tff(7540,plain,
% 78.11/50.46 ((~node17(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7539, 1172, 7506])).
% 78.11/50.46 tff(7541,plain,
% 78.11/50.46 (~node17(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7540, 7533])).
% 78.11/50.46 tff(7542,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7543,plain,
% 78.11/50.46 ((node17(c_e_h_1, c_e, s6) | node18(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7))) <=> (node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7544,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s6) | node18(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7))))),
% 78.11/50.46 inference(monotonicity,[status(thm)],[7543])).
% 78.11/50.46 tff(7545,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s6) | node18(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(transitivity,[status(thm)],[7544, 7542])).
% 78.11/50.46 tff(7546,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s6) | node18(c_e_h_1, c_e, s6, s7) | (~node19(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7547,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6) | (~node19(c_e_h_1, c_e, s6, s7))),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 78.11/50.46 tff(7548,plain,
% 78.11/50.46 (node18(c_e_h_1, c_e, s6, s7) | node17(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7547, 508, 7520])).
% 78.11/50.46 tff(7549,plain,
% 78.11/50.46 (node18(c_e_h_1, c_e, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7548, 7541])).
% 78.11/50.46 tff(7550,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7551,plain,
% 78.11/50.46 (((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~node18(c_e_h_1, c_e, s6, s7))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7552,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~node18(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7))))),
% 78.11/50.46 inference(monotonicity,[status(thm)],[7551])).
% 78.11/50.46 tff(7553,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~node18(c_e_h_1, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(transitivity,[status(thm)],[7552, 7550])).
% 78.11/50.46 tff(7554,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~node18(c_e_h_1, c_e, s6, s7)))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7555,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s6, s7))),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7554, 7553])).
% 78.11/50.46 tff(7556,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7555, 481, 7503, 7502, 7549])).
% 78.11/50.46 tff(7557,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | node15(c_e_h_1, c_e, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7558,plain,
% 78.11/50.46 (m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7557, 7505, 7503, 7502])).
% 78.11/50.46 tff(7559,assumption,(node18(c_e_h_1, c_e, s6, s7)), introduced(assumption)).
% 78.11/50.46 tff(7560,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7555, 481, 7503, 7502, 7559])).
% 78.11/50.46 tff(7561,plain,((~node18(c_e_h_1, c_e, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7562,plain,
% 78.11/50.46 (~node18(c_e_h_1, c_e, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7561, 7502, 7503])).
% 78.11/50.46 tff(7563,plain,
% 78.11/50.46 (node17(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7548, 7562])).
% 78.11/50.46 tff(7564,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7565,plain,
% 78.11/50.46 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~node17(c_e_h_1, c_e, s6))) <=> ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7566,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~node17(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6))))),
% 78.11/50.46 inference(monotonicity,[status(thm)],[7565])).
% 78.11/50.46 tff(7567,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~node17(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(transitivity,[status(thm)],[7566, 7564])).
% 78.11/50.46 tff(7568,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~node17(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7569,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s6)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 78.11/50.46 tff(7570,plain,
% 78.11/50.46 (m_c_h_element_v_in2(c_e_h_1, c_e, s6) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7569, 541, 7563])).
% 78.11/50.46 tff(7571,plain,
% 78.11/50.46 (m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7570, 7558])).
% 78.11/50.46 tff(7572,plain,
% 78.11/50.46 (node16(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7527, 7505, 7504])).
% 78.11/50.46 tff(7573,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7574,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7575,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7574, 7573])).
% 78.11/50.46 tff(7576,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7575, 1192, 7572, 7558, 7571])).
% 78.11/50.46 tff(7577,plain,(node15(c_e_h_1, c_e, s6, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6) | node14(c_e_h_1, c_e, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7578,plain,
% 78.11/50.46 (node15(c_e_h_1, c_e, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7577, 7502, 7503, 7504])).
% 78.11/50.46 tff(7579,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7580,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7581,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 78.11/50.46 tff(7582,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7581, 612, 7503, 7502, 7578])).
% 78.11/50.46 tff(7583,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | node14(c_e_h_1, c_e, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7584,plain,
% 78.11/50.46 (node14(c_e_h_1, c_e, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7583, 7503, 7502])).
% 78.11/50.46 tff(7585,plain,
% 78.11/50.46 (m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7515, 7503, 7584])).
% 78.11/50.46 tff(7586,plain,
% 78.11/50.46 (~node18(c_e_h_1, c_e, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7561, 7503, 7502])).
% 78.11/50.46 tff(7587,plain,
% 78.11/50.46 (node17(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7548, 7586])).
% 78.11/50.46 tff(7588,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s6)), introduced(assumption)).
% 78.11/50.46 tff(7589,plain,
% 78.11/50.46 ((~node17(c_e_h_1, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6))),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7569, 541, 7588])).
% 78.11/50.46 tff(7590,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7589, 7587, 7585])).
% 78.11/50.46 tff(7591,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7592,plain,
% 78.11/50.46 ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7591, 5906])).
% 78.11/50.46 tff(7593,plain,
% 78.11/50.46 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7592, 7501])).
% 78.11/50.46 tff(7594,plain,
% 78.11/50.46 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7595,plain,
% 78.11/50.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s6))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7596,plain,
% 78.11/50.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)) | m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7595, 7594])).
% 78.11/50.46 tff(7597,plain,
% 78.11/50.46 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7596, 8, 6258])).
% 78.11/50.46 tff(7598,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)), introduced(assumption)).
% 78.11/50.46 tff(7599,assumption,(node20(c_e_h_1, c_i, s6)), introduced(assumption)).
% 78.11/50.46 tff(7600,plain,
% 78.11/50.46 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s6))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7601,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s6))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7602,plain,
% 78.11/50.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 78.11/50.46 tff(7603,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7602, 22, 7599, 7598])).
% 78.11/50.46 tff(7604,plain,(m_and_h_gate_v_in1(c_e_h_1, c_i, s6) | (~node20(c_e_h_1, c_i, s6))), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7605,plain,
% 78.11/50.46 (~node20(c_e_h_1, c_i, s6)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7604, 7597])).
% 78.11/50.46 tff(7606,assumption,(~node20(c_e_h_1, c_i, s6)), introduced(assumption)).
% 78.11/50.46 tff(7607,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s7)), introduced(assumption)).
% 78.11/50.46 tff(7608,assumption,(node22(c_e_h_1, c_i, s6, s7)), introduced(assumption)).
% 78.11/50.46 tff(7609,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node22(c_e_h_1, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node22(c_e_h_1, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7610,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node22(c_e_h_1, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7611,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node22(c_e_h_1, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7610, 7609])).
% 78.11/50.46 tff(7612,plain,
% 78.11/50.46 ($false),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7611, 437, 7607, 7495, 7608])).
% 78.11/50.46 tff(7613,plain,((~node22(c_e_h_1, c_i, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.46 tff(7614,plain,
% 78.11/50.46 (~node22(c_e_h_1, c_i, s6, s7)),
% 78.11/50.46 inference(unit_resolution,[status(thm)],[7613, 7607, 7495])).
% 78.11/50.46 tff(7615,plain,
% 78.11/50.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_i, s6, s7) | node22(c_e_h_1, c_i, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_i, s6, s7) | node22(c_e_h_1, c_i, s6, s7))),
% 78.11/50.46 inference(rewrite,[status(thm)],[])).
% 78.11/50.46 tff(7616,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_i, s6, s7) | node22(c_e_h_1, c_i, s6, s7))),
% 78.11/50.46 inference(quant_inst,[status(thm)],[])).
% 78.11/50.46 tff(7617,plain,
% 78.11/50.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_i, s6, s7) | node22(c_e_h_1, c_i, s6, s7)),
% 78.11/50.46 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 78.11/50.47 tff(7618,plain,
% 78.11/50.47 (node21(c_e_h_1, c_i, s6, s7) | node22(c_e_h_1, c_i, s6, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7617, 383, 1685])).
% 78.11/50.47 tff(7619,plain,
% 78.11/50.47 (node21(c_e_h_1, c_i, s6, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7618, 7614])).
% 78.11/50.47 tff(7620,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node21(c_e_h_1, c_i, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node21(c_e_h_1, c_i, s6, s7)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7621,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node21(c_e_h_1, c_i, s6, s7)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7622,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | (~node21(c_e_h_1, c_i, s6, s7))),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 78.11/50.47 tff(7623,plain,
% 78.11/50.47 ($false),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7622, 348, 7607, 7619, 7606])).
% 78.11/50.47 tff(7624,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s7)) | node20(c_e_h_1, c_i, s6) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.47 tff(7625,plain,
% 78.11/50.47 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7624, 7605, 7493])).
% 78.11/50.47 tff(7626,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.11/50.47 tff(7627,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s7)), introduced(assumption)).
% 78.11/50.47 tff(7628,plain,
% 78.11/50.47 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7629,plain,
% 78.11/50.47 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7630,plain,
% 78.11/50.47 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 78.11/50.47 tff(7631,plain,
% 78.11/50.47 ($false),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7630, 4785, 7627, 7626])).
% 78.11/50.47 tff(7632,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.47 tff(7633,plain,
% 78.11/50.47 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7632, 7625])).
% 78.11/50.47 tff(7634,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.11/50.47 tff(7635,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.11/50.47 tff(7636,assumption,(node18(c_e_h_1, c_e, s7, s8)), introduced(assumption)).
% 78.11/50.47 tff(7637,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7638,plain,
% 78.11/50.47 (((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~node18(c_e_h_1, c_e, s7, s8))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7639,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~node18(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8))))),
% 78.11/50.47 inference(monotonicity,[status(thm)],[7638])).
% 78.11/50.47 tff(7640,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~node18(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(transitivity,[status(thm)],[7639, 7637])).
% 78.11/50.47 tff(7641,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7642,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node18(c_e_h_1, c_e, s7, s8))),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 78.11/50.47 tff(7643,plain,
% 78.11/50.47 ($false),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7642, 481, 7635, 7634, 7636])).
% 78.11/50.47 tff(7644,plain,((~node18(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.47 tff(7645,plain,
% 78.11/50.47 (~node18(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7644, 7635, 7634])).
% 78.11/50.47 tff(7646,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.11/50.47 tff(7647,assumption,(node15(c_e_h_1, c_e, s7, s8)), introduced(assumption)).
% 78.11/50.47 tff(7648,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node15(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node15(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7649,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node15(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7650,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node15(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 78.11/50.47 tff(7651,plain,
% 78.11/50.47 ($false),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7650, 612, 7635, 7634, 7647])).
% 78.11/50.47 tff(7652,plain,((~node15(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.47 tff(7653,plain,
% 78.11/50.47 (~node15(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7652, 7634, 7635])).
% 78.11/50.47 tff(7654,plain,
% 78.11/50.47 (~node18(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7644, 7634, 7635])).
% 78.11/50.47 tff(7655,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_e, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_e, s7, s8))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7656,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_e, s7, s8))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7657,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 78.11/50.47 tff(7658,plain,
% 78.11/50.47 (node19(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7657, 494, 2456])).
% 78.11/50.47 tff(7659,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7660,plain,
% 78.11/50.47 ((node17(c_e_h_1, c_e, s7) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8))) <=> (node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7661,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s7) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7)))),
% 78.11/50.47 inference(monotonicity,[status(thm)],[7660])).
% 78.11/50.47 tff(7662,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s7) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(transitivity,[status(thm)],[7661, 7659])).
% 78.11/50.47 tff(7663,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s7) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7664,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)) | node17(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7663, 7662])).
% 78.11/50.47 tff(7665,plain,
% 78.11/50.47 (node18(c_e_h_1, c_e, s7, s8) | node17(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7664, 508, 7658])).
% 78.11/50.47 tff(7666,plain,
% 78.11/50.47 (node17(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7665, 7654])).
% 78.11/50.47 tff(7667,assumption,(node17(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.11/50.47 tff(7668,plain,
% 78.11/50.47 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7669,plain,
% 78.11/50.47 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7670,plain,
% 78.11/50.47 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 78.11/50.47 tff(7671,plain,
% 78.11/50.47 (m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7))),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7670, 1172, 7667])).
% 78.11/50.47 tff(7672,plain,
% 78.11/50.47 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7671, 7646])).
% 78.11/50.47 tff(7673,assumption,(~node15(c_e_h_1, c_e, s7, s8)), introduced(assumption)).
% 78.11/50.47 tff(7674,assumption,(node14(c_e_h_1, c_e, s7, s8)), introduced(assumption)).
% 78.11/50.47 tff(7675,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7676,plain,
% 78.11/50.47 (((~node14(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7677,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8))))),
% 78.11/50.47 inference(monotonicity,[status(thm)],[7676])).
% 78.11/50.47 tff(7678,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(transitivity,[status(thm)],[7677, 7675])).
% 78.11/50.47 tff(7679,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7680,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node14(c_e_h_1, c_e, s7, s8))),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 78.11/50.47 tff(7681,plain,
% 78.11/50.47 ($false),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7680, 575, 7635, 7674, 7646])).
% 78.11/50.47 tff(7682,plain,((~node14(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.11/50.47 tff(7683,plain,
% 78.11/50.47 (~node14(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7682, 7646, 7635])).
% 78.11/50.47 tff(7684,plain,
% 78.11/50.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s7) | node14(c_e_h_1, c_e, s7, s8) | node15(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s7) | node14(c_e_h_1, c_e, s7, s8) | node15(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(rewrite,[status(thm)],[])).
% 78.11/50.47 tff(7685,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s7) | node14(c_e_h_1, c_e, s7, s8) | node15(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8)))),
% 78.11/50.47 inference(quant_inst,[status(thm)],[])).
% 78.11/50.47 tff(7686,plain,
% 78.11/50.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s7) | node14(c_e_h_1, c_e, s7, s8) | node15(c_e_h_1, c_e, s7, s8) | (~node19(c_e_h_1, c_e, s7, s8))),
% 78.11/50.47 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 78.11/50.47 tff(7687,plain,
% 78.11/50.47 (node16(c_e_h_1, c_e, s7) | node14(c_e_h_1, c_e, s7, s8) | node15(c_e_h_1, c_e, s7, s8)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7686, 594, 7658])).
% 78.11/50.47 tff(7688,plain,
% 78.11/50.47 (node16(c_e_h_1, c_e, s7)),
% 78.11/50.47 inference(unit_resolution,[status(thm)],[7687, 7683, 7673])).
% 78.11/50.47 tff(7689,plain,
% 78.11/50.47 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s7))),
% 78.21/50.47 inference(rewrite,[status(thm)],[])).
% 78.21/50.47 tff(7690,plain,
% 78.21/50.47 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s7))),
% 78.21/50.47 inference(quant_inst,[status(thm)],[])).
% 78.21/50.47 tff(7691,plain,
% 78.21/50.47 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 78.21/50.47 inference(modus_ponens,[status(thm)],[7690, 7689])).
% 78.21/50.47 tff(7692,plain,
% 78.21/50.47 ($false),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7691, 559, 7688, 7646, 7672])).
% 78.21/50.47 tff(7693,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s7) | node15(c_e_h_1, c_e, s7, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.47 tff(7694,plain,
% 78.21/50.47 ($false),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7693, 7666, 7653, 7635, 7646])).
% 78.21/50.47 tff(7695,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.47 tff(7696,plain,
% 78.21/50.47 (m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7695, 7635, 7634])).
% 78.21/50.47 tff(7697,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s7)), introduced(assumption)).
% 78.21/50.47 tff(7698,plain,
% 78.21/50.47 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 78.21/50.47 inference(rewrite,[status(thm)],[])).
% 78.21/50.47 tff(7699,plain,
% 78.21/50.47 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7))) <=> (m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 78.21/50.47 inference(rewrite,[status(thm)],[])).
% 78.21/50.47 tff(7700,plain,
% 78.21/50.47 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))))),
% 78.21/50.47 inference(monotonicity,[status(thm)],[7699])).
% 78.21/50.47 tff(7701,plain,
% 78.21/50.47 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 78.21/50.47 inference(transitivity,[status(thm)],[7700, 7698])).
% 78.21/50.47 tff(7702,plain,
% 78.21/50.47 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)))),
% 78.21/50.47 inference(quant_inst,[status(thm)],[])).
% 78.21/50.47 tff(7703,plain,
% 78.21/50.47 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 78.21/50.47 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 78.21/50.47 tff(7704,plain,
% 78.21/50.47 ((~node17(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7703, 541, 7697])).
% 78.21/50.47 tff(7705,plain,
% 78.21/50.47 (~node17(c_e_h_1, c_e, s7)),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7704, 7696])).
% 78.21/50.47 tff(7706,plain,
% 78.21/50.47 ($false),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7665, 7705, 7645])).
% 78.21/50.47 tff(7707,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.47 tff(7708,plain,
% 78.21/50.47 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7707, 7633, 7593])).
% 78.21/50.47 tff(7709,plain,
% 78.21/50.47 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))),
% 78.21/50.47 inference(rewrite,[status(thm)],[])).
% 78.21/50.47 tff(7710,plain,
% 78.21/50.47 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s7))),
% 78.21/50.47 inference(quant_inst,[status(thm)],[])).
% 78.21/50.47 tff(7711,plain,
% 78.21/50.47 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)) | m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 78.21/50.47 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 78.21/50.47 tff(7712,plain,
% 78.21/50.47 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 78.21/50.47 inference(unit_resolution,[status(thm)],[7711, 8, 6340])).
% 78.21/50.47 tff(7713,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)), introduced(assumption)).
% 78.21/50.47 tff(7714,assumption,(node20(c_e_h_1, c_i, s7)), introduced(assumption)).
% 78.21/50.47 tff(7715,plain,
% 78.21/50.47 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7716,plain,
% 78.21/50.48 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7717,plain,
% 78.21/50.48 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 78.21/50.48 tff(7718,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7717, 22, 7714, 7713])).
% 78.21/50.48 tff(7719,plain,(m_and_h_gate_v_in1(c_e_h_1, c_i, s7) | (~node20(c_e_h_1, c_i, s7))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7720,plain,
% 78.21/50.48 (~node20(c_e_h_1, c_i, s7)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7719, 7712])).
% 78.21/50.48 tff(7721,assumption,(~node20(c_e_h_1, c_i, s7)), introduced(assumption)).
% 78.21/50.48 tff(7722,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.48 tff(7723,assumption,(node21(c_e_h_1, c_i, s7, s8)), introduced(assumption)).
% 78.21/50.48 tff(7724,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7725,plain,
% 78.21/50.48 ((node20(c_e_h_1, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7726,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7)))),
% 78.21/50.48 inference(monotonicity,[status(thm)],[7725])).
% 78.21/50.48 tff(7727,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(transitivity,[status(thm)],[7726, 7724])).
% 78.21/50.48 tff(7728,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7729,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node21(c_e_h_1, c_i, s7, s8)) | node20(c_e_h_1, c_i, s7)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 78.21/50.48 tff(7730,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7729, 348, 7722, 7723, 7721])).
% 78.21/50.48 tff(7731,plain,((~node21(c_e_h_1, c_i, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | node20(c_e_h_1, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7732,plain,
% 78.21/50.48 (~node21(c_e_h_1, c_i, s7, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7731, 7722, 7721])).
% 78.21/50.48 tff(7733,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_i, s7, s8) | node22(c_e_h_1, c_i, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_i, s7, s8) | node22(c_e_h_1, c_i, s7, s8))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7734,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_i, s7, s8) | node22(c_e_h_1, c_i, s7, s8))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7735,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_i, s7, s8) | node22(c_e_h_1, c_i, s7, s8)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 78.21/50.48 tff(7736,plain,
% 78.21/50.48 (node21(c_e_h_1, c_i, s7, s8) | node22(c_e_h_1, c_i, s7, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7735, 383, 2456])).
% 78.21/50.48 tff(7737,plain,
% 78.21/50.48 (node22(c_e_h_1, c_i, s7, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7736, 7732])).
% 78.21/50.48 tff(7738,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node22(c_e_h_1, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node22(c_e_h_1, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7739,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node22(c_e_h_1, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7740,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | (~node22(c_e_h_1, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 78.21/50.48 tff(7741,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7740, 437, 7627, 7722, 7737])).
% 78.21/50.48 tff(7742,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s7) | node20(c_e_h_1, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7743,plain,
% 78.21/50.48 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7742, 7720, 7625])).
% 78.21/50.48 tff(7744,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.48 tff(7745,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.48 tff(7746,plain,
% 78.21/50.48 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7747,plain,
% 78.21/50.48 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7748,plain,
% 78.21/50.48 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 78.21/50.48 tff(7749,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7748, 4785, 7745, 7744])).
% 78.21/50.48 tff(7750,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7751,plain,
% 78.21/50.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7750, 7743])).
% 78.21/50.48 tff(7752,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.48 tff(7753,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s9)), introduced(assumption)).
% 78.21/50.48 tff(7754,assumption,(node18(c_e_h_1, c_e, s8, s9)), introduced(assumption)).
% 78.21/50.48 tff(7755,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7756,plain,
% 78.21/50.48 (((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node18(c_e_h_1, c_e, s8, s9))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7757,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node18(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9))))),
% 78.21/50.48 inference(monotonicity,[status(thm)],[7756])).
% 78.21/50.48 tff(7758,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node18(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(transitivity,[status(thm)],[7757, 7755])).
% 78.21/50.48 tff(7759,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node18(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7760,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s8, s9))),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 78.21/50.48 tff(7761,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7760, 481, 7752, 7754, 7753])).
% 78.21/50.48 tff(7762,plain,((~node18(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7763,plain,
% 78.21/50.48 (~node18(c_e_h_1, c_e, s8, s9)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7762, 7753, 7752])).
% 78.21/50.48 tff(7764,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_e, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_e, s8, s9))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7765,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_e, s8, s9))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7766,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_e, s8, s9)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7765, 7764])).
% 78.21/50.48 tff(7767,plain,
% 78.21/50.48 (node19(c_e_h_1, c_e, s8, s9)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7766, 494, 3713])).
% 78.21/50.48 tff(7768,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7769,plain,
% 78.21/50.48 ((node17(c_e_h_1, c_e, s8) | node18(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9))) <=> ((~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7770,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s8) | node18(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8)))),
% 78.21/50.48 inference(monotonicity,[status(thm)],[7769])).
% 78.21/50.48 tff(7771,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s8) | node18(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8))),
% 78.21/50.48 inference(transitivity,[status(thm)],[7770, 7768])).
% 78.21/50.48 tff(7772,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s8) | node18(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7773,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 78.21/50.48 tff(7774,plain,
% 78.21/50.48 (node18(c_e_h_1, c_e, s8, s9) | node17(c_e_h_1, c_e, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7773, 508, 7767])).
% 78.21/50.48 tff(7775,plain,
% 78.21/50.48 (node17(c_e_h_1, c_e, s8)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7774, 7763])).
% 78.21/50.48 tff(7776,assumption,(node15(c_e_h_1, c_e, s8, s9)), introduced(assumption)).
% 78.21/50.48 tff(7777,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7778,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7779,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 78.21/50.48 tff(7780,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7779, 612, 7752, 7776, 7753])).
% 78.21/50.48 tff(7781,plain,((~node15(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7782,plain,
% 78.21/50.48 (~node15(c_e_h_1, c_e, s8, s9)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7781, 7753, 7752])).
% 78.21/50.48 tff(7783,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.48 tff(7784,assumption,(node14(c_e_h_1, c_e, s8, s9)), introduced(assumption)).
% 78.21/50.48 tff(7785,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7786,plain,
% 78.21/50.48 (((~node14(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(rewrite,[status(thm)],[])).
% 78.21/50.48 tff(7787,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9))))),
% 78.21/50.48 inference(monotonicity,[status(thm)],[7786])).
% 78.21/50.48 tff(7788,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.48 inference(transitivity,[status(thm)],[7787, 7785])).
% 78.21/50.48 tff(7789,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))),
% 78.21/50.48 inference(quant_inst,[status(thm)],[])).
% 78.21/50.48 tff(7790,plain,
% 78.21/50.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node14(c_e_h_1, c_e, s8, s9))),
% 78.21/50.48 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 78.21/50.48 tff(7791,plain,
% 78.21/50.48 ($false),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7790, 575, 7784, 7753, 7783])).
% 78.21/50.48 tff(7792,plain,((~node14(c_e_h_1, c_e, s8, s9)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.48 tff(7793,plain,
% 78.21/50.48 (~node14(c_e_h_1, c_e, s8, s9)),
% 78.21/50.48 inference(unit_resolution,[status(thm)],[7792, 7753, 7783])).
% 78.21/50.48 tff(7794,plain,
% 78.21/50.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7795,plain,
% 78.21/50.49 ((node16(c_e_h_1, c_e, s8) | node14(c_e_h_1, c_e, s8, s9) | node15(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9))) <=> ((~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7796,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s8) | node14(c_e_h_1, c_e, s8, s9) | node15(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(monotonicity,[status(thm)],[7795])).
% 78.21/50.49 tff(7797,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s8) | node14(c_e_h_1, c_e, s8, s9) | node15(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(transitivity,[status(thm)],[7796, 7794])).
% 78.21/50.49 tff(7798,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s8) | node14(c_e_h_1, c_e, s8, s9) | node15(c_e_h_1, c_e, s8, s9) | (~node19(c_e_h_1, c_e, s8, s9)))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7799,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s8, s9)) | node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 78.21/50.49 tff(7800,plain,
% 78.21/50.49 (node15(c_e_h_1, c_e, s8, s9) | node14(c_e_h_1, c_e, s8, s9) | node16(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7799, 594, 7767])).
% 78.21/50.49 tff(7801,plain,
% 78.21/50.49 (node16(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7800, 7793, 7782])).
% 78.21/50.49 tff(7802,assumption,(node17(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.49 tff(7803,assumption,(node16(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.49 tff(7804,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s8)), introduced(assumption)).
% 78.21/50.49 tff(7805,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7806,plain,
% 78.21/50.49 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8))) <=> ((~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7807,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8))))),
% 78.21/50.49 inference(monotonicity,[status(thm)],[7806])).
% 78.21/50.49 tff(7808,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(transitivity,[status(thm)],[7807, 7805])).
% 78.21/50.49 tff(7809,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7810,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7809, 7808])).
% 78.21/50.49 tff(7811,plain,
% 78.21/50.49 (m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7810, 541, 7802])).
% 78.21/50.49 tff(7812,plain,
% 78.21/50.49 (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7811, 7804])).
% 78.21/50.49 tff(7813,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7814,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7815,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 78.21/50.49 tff(7816,plain,
% 78.21/50.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7815, 559, 7803])).
% 78.21/50.49 tff(7817,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7816, 7812, 7804])).
% 78.21/50.49 tff(7818,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~node16(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7819,plain,
% 78.21/50.49 (m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7818, 7803, 7802])).
% 78.21/50.49 tff(7820,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7821,plain,
% 78.21/50.49 ((m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7822,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8))))),
% 78.21/50.49 inference(monotonicity,[status(thm)],[7821])).
% 78.21/50.49 tff(7823,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(transitivity,[status(thm)],[7822, 7820])).
% 78.21/50.49 tff(7824,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7825,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | (~node17(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7824, 7823])).
% 78.21/50.49 tff(7826,plain,
% 78.21/50.49 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7825, 1172, 7802])).
% 78.21/50.49 tff(7827,plain,
% 78.21/50.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7826, 7819])).
% 78.21/50.49 tff(7828,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7829,plain,
% 78.21/50.49 (((~node16(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7830,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8))))),
% 78.21/50.49 inference(monotonicity,[status(thm)],[7829])).
% 78.21/50.49 tff(7831,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(transitivity,[status(thm)],[7830, 7828])).
% 78.21/50.49 tff(7832,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7833,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | (~node16(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 78.21/50.49 tff(7834,plain,
% 78.21/50.49 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7833, 1192, 7803])).
% 78.21/50.49 tff(7835,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7834, 7827, 7819])).
% 78.21/50.49 tff(7836,plain,((~node16(c_e_h_1, c_e, s8)) | (~node17(c_e_h_1, c_e, s8))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7837,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7836, 7801, 7775])).
% 78.21/50.49 tff(7838,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7839,plain,
% 78.21/50.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7838, 7753, 7752])).
% 78.21/50.49 tff(7840,plain,
% 78.21/50.49 ((~node17(c_e_h_1, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8))),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7810, 541, 7804])).
% 78.21/50.49 tff(7841,plain,
% 78.21/50.49 (~node17(c_e_h_1, c_e, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7840, 7839])).
% 78.21/50.49 tff(7842,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7774, 7841, 7763])).
% 78.21/50.49 tff(7843,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7844,plain,
% 78.21/50.49 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7843, 7751, 7708])).
% 78.21/50.49 tff(7845,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.49 tff(7846,plain,
% 78.21/50.49 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7847,plain,
% 78.21/50.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s8))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7848,plain,
% 78.21/50.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)) | m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 78.21/50.49 tff(7849,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7848, 8, 6423, 7845])).
% 78.21/50.49 tff(7850,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7851,plain,
% 78.21/50.49 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7850, 6418])).
% 78.21/50.49 tff(7852,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.49 tff(7853,assumption,(node20(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.49 tff(7854,plain,
% 78.21/50.49 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7855,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s8))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7856,plain,
% 78.21/50.49 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 78.21/50.49 tff(7857,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7856, 22, 7853, 7852])).
% 78.21/50.49 tff(7858,plain,(m_and_h_gate_v_in1(c_e_h_1, c_i, s8) | (~node20(c_e_h_1, c_i, s8))), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7859,plain,
% 78.21/50.49 (~node20(c_e_h_1, c_i, s8)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7858, 7851])).
% 78.21/50.49 tff(7860,assumption,(~node20(c_e_h_1, c_i, s8)), introduced(assumption)).
% 78.21/50.49 tff(7861,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.21/50.49 tff(7862,assumption,(node21(c_e_h_1, c_i, s8, s9)), introduced(assumption)).
% 78.21/50.49 tff(7863,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7864,plain,
% 78.21/50.49 ((node20(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node21(c_e_h_1, c_i, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9)))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7865,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node21(c_e_h_1, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9))))),
% 78.21/50.49 inference(monotonicity,[status(thm)],[7864])).
% 78.21/50.49 tff(7866,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node21(c_e_h_1, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9)))),
% 78.21/50.49 inference(transitivity,[status(thm)],[7865, 7863])).
% 78.21/50.49 tff(7867,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node21(c_e_h_1, c_i, s8, s9)))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7868,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8) | (~node21(c_e_h_1, c_i, s8, s9))),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 78.21/50.49 tff(7869,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7868, 348, 7861, 7862, 7860])).
% 78.21/50.49 tff(7870,plain,((~node21(c_e_h_1, c_i, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | node20(c_e_h_1, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7871,plain,
% 78.21/50.49 (~node21(c_e_h_1, c_i, s8, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7870, 7861, 7860])).
% 78.21/50.49 tff(7872,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_i, s8, s9) | node22(c_e_h_1, c_i, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_i, s8, s9) | node22(c_e_h_1, c_i, s8, s9))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7873,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_i, s8, s9) | node22(c_e_h_1, c_i, s8, s9))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7874,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_i, s8, s9) | node22(c_e_h_1, c_i, s8, s9)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 78.21/50.49 tff(7875,plain,
% 78.21/50.49 (node21(c_e_h_1, c_i, s8, s9) | node22(c_e_h_1, c_i, s8, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7874, 383, 3713])).
% 78.21/50.49 tff(7876,plain,
% 78.21/50.49 (node22(c_e_h_1, c_i, s8, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7875, 7871])).
% 78.21/50.49 tff(7877,plain,
% 78.21/50.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node22(c_e_h_1, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node22(c_e_h_1, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7878,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node22(c_e_h_1, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7879,plain,
% 78.21/50.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | (~node22(c_e_h_1, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 78.21/50.49 tff(7880,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7879, 437, 7861, 7876, 7744])).
% 78.21/50.49 tff(7881,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8) | node20(c_e_h_1, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7882,plain,
% 78.21/50.49 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7881, 7743, 7859])).
% 78.21/50.49 tff(7883,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s9)), introduced(assumption)).
% 78.21/50.49 tff(7884,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.21/50.49 tff(7885,plain,
% 78.21/50.49 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 78.21/50.49 inference(rewrite,[status(thm)],[])).
% 78.21/50.49 tff(7886,plain,
% 78.21/50.49 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 78.21/50.49 inference(quant_inst,[status(thm)],[])).
% 78.21/50.49 tff(7887,plain,
% 78.21/50.49 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 78.21/50.49 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 78.21/50.49 tff(7888,plain,
% 78.21/50.49 ($false),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7887, 4785, 7884, 7883])).
% 78.21/50.49 tff(7889,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.49 tff(7890,plain,
% 78.21/50.49 (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 78.21/50.49 inference(unit_resolution,[status(thm)],[7889, 7882])).
% 78.21/50.49 tff(7891,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s9)), introduced(assumption)).
% 78.21/50.49 tff(7892,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.21/50.49 tff(7893,assumption,(node15(c_e_h_1, c_e, s9, s10)), introduced(assumption)).
% 78.21/50.50 tff(7894,plain,
% 78.21/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node15(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node15(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 78.21/50.50 inference(rewrite,[status(thm)],[])).
% 78.21/50.50 tff(7895,plain,
% 78.21/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node15(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 78.21/50.50 inference(quant_inst,[status(thm)],[])).
% 78.21/50.50 tff(7896,plain,
% 78.21/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node15(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 78.21/50.50 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 78.21/50.50 tff(7897,plain,
% 78.21/50.50 ($false),
% 78.21/50.50 inference(unit_resolution,[status(thm)],[7896, 612, 7893, 7892, 7891])).
% 78.21/50.50 tff(7898,plain,((~node15(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 78.21/50.50 tff(7899,plain,
% 78.21/50.50 (~node15(c_e_h_1, c_e, s9, s10)),
% 78.21/50.50 inference(unit_resolution,[status(thm)],[7898, 7892, 7891])).
% 78.21/50.50 tff(7900,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s9)), introduced(assumption)).
% 78.21/50.50 tff(7901,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s9)), introduced(assumption)).
% 78.21/50.50 tff(7902,assumption,(~node15(c_e_h_1, c_e, s9, s10)), introduced(assumption)).
% 78.21/50.50 tff(7903,plain,
% 78.21/50.50 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 78.21/50.50 inference(rewrite,[status(thm)],[])).
% 78.21/50.50 tff(7904,plain,
% 78.21/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 78.21/50.50 inference(quant_inst,[status(thm)],[])).
% 78.21/50.50 tff(7905,plain,
% 78.21/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 78.21/50.50 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 78.21/50.50 tff(7906,plain,
% 78.21/50.50 ((~node16(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 78.21/50.50 inference(unit_resolution,[status(thm)],[7905, 559, 7900])).
% 78.21/50.50 tff(7907,plain,
% 78.21/50.50 (~node16(c_e_h_1, c_e, s9)),
% 78.21/50.50 inference(unit_resolution,[status(thm)],[7906, 7901])).
% 78.21/50.50 tff(7908,plain,
% 78.21/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_e, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_e, s9, s10))),
% 78.21/50.50 inference(rewrite,[status(thm)],[])).
% 78.21/50.50 tff(7909,plain,
% 78.21/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_e, s9, s10))),
% 78.21/50.50 inference(quant_inst,[status(thm)],[])).
% 78.21/50.50 tff(7910,plain,
% 78.21/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_e, s9, s10)),
% 78.21/50.50 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 78.24/50.50 tff(7911,plain,
% 78.24/50.50 (node19(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7910, 494, 6039])).
% 78.24/50.50 tff(7912,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s9) | node14(c_e_h_1, c_e, s9, s10) | node15(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s9) | node14(c_e_h_1, c_e, s9, s10) | node15(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7913,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s9) | node14(c_e_h_1, c_e, s9, s10) | node15(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7914,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s9) | node14(c_e_h_1, c_e, s9, s10) | node15(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10))),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 78.24/50.50 tff(7915,plain,
% 78.24/50.50 (node16(c_e_h_1, c_e, s9) | node14(c_e_h_1, c_e, s9, s10) | node15(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7914, 594, 7911])).
% 78.24/50.50 tff(7916,plain,
% 78.24/50.50 (node14(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7915, 7907, 7902])).
% 78.24/50.50 tff(7917,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7918,plain,
% 78.24/50.50 (((~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7919,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)))),
% 78.24/50.50 inference(monotonicity,[status(thm)],[7918])).
% 78.24/50.50 tff(7920,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(transitivity,[status(thm)],[7919, 7917])).
% 78.24/50.50 tff(7921,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7922,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | (~node14(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 78.24/50.50 tff(7923,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7922, 575, 7916, 7892, 7901])).
% 78.24/50.50 tff(7924,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | node15(c_e_h_1, c_e, s9, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7925,plain,
% 78.24/50.50 (m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7924, 7892, 7900, 7899])).
% 78.24/50.50 tff(7926,assumption,(node18(c_e_h_1, c_e, s9, s10)), introduced(assumption)).
% 78.24/50.50 tff(7927,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | (~node18(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | (~node18(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7928,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | (~node18(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7929,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | (~node18(c_e_h_1, c_e, s9, s10))),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 78.24/50.50 tff(7930,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7929, 481, 7926, 7892, 7891])).
% 78.24/50.50 tff(7931,plain,((~node18(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7932,plain,
% 78.24/50.50 (~node18(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7931, 7892, 7891])).
% 78.24/50.50 tff(7933,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7934,plain,
% 78.24/50.50 ((node17(c_e_h_1, c_e, s9) | node18(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10))) <=> (node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7935,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s9) | node18(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(monotonicity,[status(thm)],[7934])).
% 78.24/50.50 tff(7936,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s9) | node18(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10))),
% 78.24/50.50 inference(transitivity,[status(thm)],[7935, 7933])).
% 78.24/50.50 tff(7937,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s9) | node18(c_e_h_1, c_e, s9, s10) | (~node19(c_e_h_1, c_e, s9, s10)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7938,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s9) | (~node19(c_e_h_1, c_e, s9, s10)) | node18(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 78.24/50.50 tff(7939,plain,
% 78.24/50.50 (node17(c_e_h_1, c_e, s9) | node18(c_e_h_1, c_e, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7938, 508, 7911])).
% 78.24/50.50 tff(7940,plain,
% 78.24/50.50 (node17(c_e_h_1, c_e, s9)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7939, 7932])).
% 78.24/50.50 tff(7941,plain,
% 78.24/50.50 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7942,plain,
% 78.24/50.50 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9) | (~node17(c_e_h_1, c_e, s9))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7943,plain,
% 78.24/50.50 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9) | (~node17(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 78.24/50.50 inference(monotonicity,[status(thm)],[7942])).
% 78.24/50.50 tff(7944,plain,
% 78.24/50.50 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9) | (~node17(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(transitivity,[status(thm)],[7943, 7941])).
% 78.24/50.50 tff(7945,plain,
% 78.24/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9) | (~node17(c_e_h_1, c_e, s9)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7946,plain,
% 78.24/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 78.24/50.50 tff(7947,plain,
% 78.24/50.50 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9))),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7946, 541, 7900])).
% 78.24/50.50 tff(7948,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7947, 7940, 7925])).
% 78.24/50.50 tff(7949,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7950,plain,
% 78.24/50.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7949, 7890, 7844])).
% 78.24/50.50 tff(7951,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.24/50.50 tff(7952,plain,
% 78.24/50.50 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7953,plain,
% 78.24/50.50 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s9))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7954,plain,
% 78.24/50.50 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 78.24/50.50 tff(7955,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7954, 8, 6504, 7951])).
% 78.24/50.50 tff(7956,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)) | m_c_h_element_v_out(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7957,plain,
% 78.24/50.50 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7956, 6502])).
% 78.24/50.50 tff(7958,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.24/50.50 tff(7959,assumption,(node20(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.24/50.50 tff(7960,plain,
% 78.24/50.50 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7961,plain,
% 78.24/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s9))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7962,plain,
% 78.24/50.50 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 78.24/50.50 tff(7963,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7962, 22, 7959, 7958])).
% 78.24/50.50 tff(7964,plain,((~node20(c_e_h_1, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7965,plain,
% 78.24/50.50 (~node20(c_e_h_1, c_i, s9)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7964, 7957])).
% 78.24/50.50 tff(7966,assumption,(~node20(c_e_h_1, c_i, s9)), introduced(assumption)).
% 78.24/50.50 tff(7967,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s10)), introduced(assumption)).
% 78.24/50.50 tff(7968,assumption,(node21(c_e_h_1, c_i, s9, s10)), introduced(assumption)).
% 78.24/50.50 tff(7969,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10)))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7970,plain,
% 78.24/50.50 ((node20(c_e_h_1, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node21(c_e_h_1, c_i, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10)))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7971,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node21(c_e_h_1, c_i, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10))))),
% 78.24/50.50 inference(monotonicity,[status(thm)],[7970])).
% 78.24/50.50 tff(7972,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node21(c_e_h_1, c_i, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10)))),
% 78.24/50.50 inference(transitivity,[status(thm)],[7971, 7969])).
% 78.24/50.50 tff(7973,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node21(c_e_h_1, c_i, s9, s10)))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7974,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9) | (~node21(c_e_h_1, c_i, s9, s10))),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 78.24/50.50 tff(7975,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7974, 348, 7968, 7967, 7966])).
% 78.24/50.50 tff(7976,plain,((~node21(c_e_h_1, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | node20(c_e_h_1, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7977,plain,
% 78.24/50.50 (~node21(c_e_h_1, c_i, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7976, 7967, 7966])).
% 78.24/50.50 tff(7978,assumption,(node22(c_e_h_1, c_i, s9, s10)), introduced(assumption)).
% 78.24/50.50 tff(7979,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node22(c_e_h_1, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node22(c_e_h_1, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7980,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node22(c_e_h_1, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7981,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | (~node22(c_e_h_1, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 78.24/50.50 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 78.24/50.50 tff(7982,plain,
% 78.24/50.50 ($false),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7981, 437, 7978, 7884, 7967])).
% 78.24/50.50 tff(7983,plain,((~node22(c_e_h_1, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.50 tff(7984,plain,
% 78.24/50.50 (~node22(c_e_h_1, c_i, s9, s10)),
% 78.24/50.50 inference(unit_resolution,[status(thm)],[7983, 7967, 7884])).
% 78.24/50.50 tff(7985,plain,
% 78.24/50.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_i, s9, s10) | node22(c_e_h_1, c_i, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_i, s9, s10) | node22(c_e_h_1, c_i, s9, s10))),
% 78.24/50.50 inference(rewrite,[status(thm)],[])).
% 78.24/50.50 tff(7986,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_i, s9, s10) | node22(c_e_h_1, c_i, s9, s10))),
% 78.24/50.50 inference(quant_inst,[status(thm)],[])).
% 78.24/50.50 tff(7987,plain,
% 78.24/50.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_i, s9, s10) | node22(c_e_h_1, c_i, s9, s10)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 78.24/50.51 tff(7988,plain,
% 78.24/50.51 (node21(c_e_h_1, c_i, s9, s10) | node22(c_e_h_1, c_i, s9, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[7987, 383, 6039])).
% 78.24/50.51 tff(7989,plain,
% 78.24/50.51 ($false),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[7988, 7984, 7977])).
% 78.24/50.51 tff(7990,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9) | node20(c_e_h_1, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.51 tff(7991,plain,
% 78.24/50.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[7990, 7882, 7965])).
% 78.24/50.51 tff(7992,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.24/50.51 tff(7993,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s10)), introduced(assumption)).
% 78.24/50.51 tff(7994,plain,
% 78.24/50.51 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(7995,plain,
% 78.24/50.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(7996,plain,
% 78.24/50.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 78.24/50.51 tff(7997,plain,
% 78.24/50.51 ($false),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[7996, 4785, 7993, 7992])).
% 78.24/50.51 tff(7998,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.51 tff(7999,plain,
% 78.24/50.51 (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[7998, 7991])).
% 78.24/50.51 tff(8000,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.24/50.51 tff(8001,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.24/50.51 tff(8002,assumption,(node18(c_e_h_1, c_e, s10, s11)), introduced(assumption)).
% 78.24/50.51 tff(8003,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node18(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node18(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8004,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node18(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8005,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node18(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 78.24/50.51 tff(8006,plain,
% 78.24/50.51 ($false),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8005, 481, 8002, 8001, 8000])).
% 78.24/50.51 tff(8007,plain,((~node18(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.51 tff(8008,plain,
% 78.24/50.51 (~node18(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8007, 8000, 8001])).
% 78.24/50.51 tff(8009,plain,
% 78.24/50.51 (succ(s10, s11) <=> succ(s10, s11)),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8010,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 78.24/50.51 tff(8011,plain,
% 78.24/50.51 (succ(s10, s11)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 78.24/50.51 tff(8012,plain,
% 78.24/50.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8013,plain,
% 78.24/50.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8014,plain,
% 78.24/50.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 78.24/50.51 tff(8015,plain,
% 78.24/50.51 (trans(s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8014, 8011, 176])).
% 78.24/50.51 tff(8016,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_e, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8017,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8018,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 78.24/50.51 tff(8019,plain,
% 78.24/50.51 (node19(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8018, 494, 8015])).
% 78.24/50.51 tff(8020,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8021,plain,
% 78.24/50.51 ((node17(c_e_h_1, c_e, s10) | node18(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11))) <=> (node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8022,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s10) | node18(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(monotonicity,[status(thm)],[8021])).
% 78.24/50.51 tff(8023,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s10) | node18(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(transitivity,[status(thm)],[8022, 8020])).
% 78.24/50.51 tff(8024,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s10) | node18(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8025,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node18(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 78.24/50.51 tff(8026,plain,
% 78.24/50.51 (node17(c_e_h_1, c_e, s10) | node18(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8025, 508, 8019])).
% 78.24/50.51 tff(8027,plain,
% 78.24/50.51 (node17(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8026, 8008])).
% 78.24/50.51 tff(8028,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.24/50.51 tff(8029,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8030,plain,
% 78.24/50.51 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10))) <=> (m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8031,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10))))),
% 78.24/50.51 inference(monotonicity,[status(thm)],[8030])).
% 78.24/50.51 tff(8032,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(transitivity,[status(thm)],[8031, 8029])).
% 78.24/50.51 tff(8033,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8034,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10))),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 78.24/50.51 tff(8035,plain,
% 78.24/50.51 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10))),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8034, 541, 8028])).
% 78.24/50.51 tff(8036,plain,
% 78.24/50.51 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8035, 8027])).
% 78.24/50.51 tff(8037,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.24/50.51 tff(8038,assumption,(~node15(c_e_h_1, c_e, s10, s11)), introduced(assumption)).
% 78.24/50.51 tff(8039,assumption,(node17(c_e_h_1, c_e, s10)), introduced(assumption)).
% 78.24/50.51 tff(8040,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8041,plain,
% 78.24/50.51 ((m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8042,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10))))),
% 78.24/50.51 inference(monotonicity,[status(thm)],[8041])).
% 78.24/50.51 tff(8043,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(transitivity,[status(thm)],[8042, 8040])).
% 78.24/50.51 tff(8044,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10)))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8045,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~node17(c_e_h_1, c_e, s10))),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 78.24/50.51 tff(8046,plain,
% 78.24/50.51 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8045, 1172, 8039])).
% 78.24/50.51 tff(8047,plain,
% 78.24/50.51 (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8046, 8037])).
% 78.24/50.51 tff(8048,plain,
% 78.24/50.51 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s10))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8049,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s10))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8050,plain,
% 78.24/50.51 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 78.24/50.51 tff(8051,plain,
% 78.24/50.51 (~node16(c_e_h_1, c_e, s10)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8050, 559, 8037, 8047])).
% 78.24/50.51 tff(8052,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8053,plain,
% 78.24/50.51 ((node16(c_e_h_1, c_e, s10) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11))) <=> (node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8054,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s10) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(monotonicity,[status(thm)],[8053])).
% 78.24/50.51 tff(8055,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s10) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11))),
% 78.24/50.51 inference(transitivity,[status(thm)],[8054, 8052])).
% 78.24/50.51 tff(8056,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s10) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11) | (~node19(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(quant_inst,[status(thm)],[])).
% 78.24/50.51 tff(8057,plain,
% 78.24/50.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s10) | (~node19(c_e_h_1, c_e, s10, s11)) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 78.24/50.51 tff(8058,plain,
% 78.24/50.51 (node16(c_e_h_1, c_e, s10) | node14(c_e_h_1, c_e, s10, s11) | node15(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8057, 594, 8019])).
% 78.24/50.51 tff(8059,plain,
% 78.24/50.51 (node14(c_e_h_1, c_e, s10, s11)),
% 78.24/50.51 inference(unit_resolution,[status(thm)],[8058, 8051, 8038])).
% 78.24/50.51 tff(8060,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8061,plain,
% 78.24/50.51 (((~node14(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.51 inference(rewrite,[status(thm)],[])).
% 78.24/50.51 tff(8062,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11))))),
% 78.24/50.51 inference(monotonicity,[status(thm)],[8061])).
% 78.24/50.51 tff(8063,plain,
% 78.24/50.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11)))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8062, 8060])).
% 78.24/50.52 tff(8064,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8065,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node14(c_e_h_1, c_e, s10, s11))),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 78.24/50.52 tff(8066,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8065, 575, 8059, 8037, 8000])).
% 78.24/50.52 tff(8067,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | node15(c_e_h_1, c_e, s10, s11) | (~node17(c_e_h_1, c_e, s10))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8068,plain,
% 78.24/50.52 (node15(c_e_h_1, c_e, s10, s11)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8067, 8036, 8000, 8027])).
% 78.24/50.52 tff(8069,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8070,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8071,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 78.24/50.52 tff(8072,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8071, 612, 8068, 8001, 8000])).
% 78.24/50.52 tff(8073,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8074,plain,
% 78.24/50.52 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8073, 7999, 7950])).
% 78.24/50.52 tff(8075,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.24/50.52 tff(8076,plain,
% 78.24/50.52 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8077,plain,
% 78.24/50.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8078,plain,
% 78.24/50.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 78.24/50.52 tff(8079,plain,
% 78.24/50.52 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8078, 8, 8075])).
% 78.24/50.52 tff(8080,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.24/50.52 tff(8081,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.24/50.52 tff(8082,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.24/50.52 tff(8083,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.24/50.52 tff(8084,assumption,(node18(c_e_h_1, c_h, s10, s11)), introduced(assumption)).
% 78.24/50.52 tff(8085,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8086,plain,
% 78.24/50.52 (((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~node18(c_e_h_1, c_h, s10, s11))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8087,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11))))),
% 78.24/50.52 inference(monotonicity,[status(thm)],[8086])).
% 78.24/50.52 tff(8088,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8087, 8085])).
% 78.24/50.52 tff(8089,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8090,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s10, s11))),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 78.24/50.52 tff(8091,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8090, 481, 8075, 8084, 8083])).
% 78.24/50.52 tff(8092,plain,((~node18(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8093,plain,
% 78.24/50.52 (~node18(c_e_h_1, c_h, s10, s11)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8092, 8083, 8075])).
% 78.24/50.52 tff(8094,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_h, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_h, s10, s11))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8095,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_h, s10, s11))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8096,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_h, s10, s11)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 78.24/50.52 tff(8097,plain,
% 78.24/50.52 (node19(c_e_h_1, c_h, s10, s11)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8096, 494, 8015])).
% 78.24/50.52 tff(8098,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8099,plain,
% 78.24/50.52 ((node17(c_e_h_1, c_h, s10) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11))) <=> (node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8100,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s10) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(monotonicity,[status(thm)],[8099])).
% 78.24/50.52 tff(8101,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s10) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8100, 8098])).
% 78.24/50.52 tff(8102,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s10) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8103,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node17(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 78.24/50.52 tff(8104,plain,
% 78.24/50.52 (node18(c_e_h_1, c_h, s10, s11) | node17(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8103, 508, 8097])).
% 78.24/50.52 tff(8105,plain,
% 78.24/50.52 (node17(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8104, 8093])).
% 78.24/50.52 tff(8106,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8107,plain,
% 78.24/50.52 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~node17(c_e_h_1, c_h, s10))) <=> ((~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8108,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~node17(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))))),
% 78.24/50.52 inference(monotonicity,[status(thm)],[8107])).
% 78.24/50.52 tff(8109,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~node17(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8108, 8106])).
% 78.24/50.52 tff(8110,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~node17(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8111,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 78.24/50.52 tff(8112,plain,
% 78.24/50.52 ((~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8111, 541, 8082])).
% 78.24/50.52 tff(8113,plain,
% 78.24/50.52 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8112, 8105])).
% 78.24/50.52 tff(8114,assumption,(node16(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.24/50.52 tff(8115,assumption,(node17(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.24/50.52 tff(8116,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s10)), introduced(assumption)).
% 78.24/50.52 tff(8117,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8118,plain,
% 78.24/50.52 (((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10))) <=> ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8119,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))))),
% 78.24/50.52 inference(monotonicity,[status(thm)],[8118])).
% 78.24/50.52 tff(8120,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8119, 8117])).
% 78.24/50.52 tff(8121,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8122,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 78.24/50.52 tff(8123,plain,
% 78.24/50.52 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8122, 1192, 8114])).
% 78.24/50.52 tff(8124,plain,
% 78.24/50.52 (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8123, 8116])).
% 78.24/50.52 tff(8125,plain,
% 78.24/50.52 (m_c_h_element_v_in2(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8111, 541, 8115])).
% 78.24/50.52 tff(8126,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8125, 8124, 8116])).
% 78.24/50.52 tff(8127,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node17(c_e_h_1, c_h, s10)) | (~node16(c_e_h_1, c_h, s10))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8128,plain,
% 78.24/50.52 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8127, 8115, 8114])).
% 78.24/50.52 tff(8129,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8130,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8131,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 78.24/50.52 tff(8132,plain,
% 78.24/50.52 (m_c_h_element_v_in1(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8131, 559, 8114])).
% 78.24/50.52 tff(8133,plain,
% 78.24/50.52 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8132, 8128])).
% 78.24/50.52 tff(8134,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8135,plain,
% 78.24/50.52 ((m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~node17(c_e_h_1, c_h, s10))) <=> ((~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8136,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~node17(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(monotonicity,[status(thm)],[8135])).
% 78.24/50.52 tff(8137,plain,
% 78.24/50.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~node17(c_e_h_1, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(transitivity,[status(thm)],[8136, 8134])).
% 78.24/50.52 tff(8138,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | (~node17(c_e_h_1, c_h, s10)))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8139,plain,
% 78.24/50.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 78.24/50.52 tff(8140,plain,
% 78.24/50.52 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8139, 1172, 8115])).
% 78.24/50.52 tff(8141,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8140, 8133, 8128])).
% 78.24/50.52 tff(8142,plain,((~node17(c_e_h_1, c_h, s10)) | (~node16(c_e_h_1, c_h, s10))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8143,plain,
% 78.24/50.52 (~node16(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8142, 8105])).
% 78.24/50.52 tff(8144,assumption,(node15(c_e_h_1, c_h, s10, s11)), introduced(assumption)).
% 78.24/50.52 tff(8145,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node15(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node15(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(rewrite,[status(thm)],[])).
% 78.24/50.52 tff(8146,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node15(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10))),
% 78.24/50.52 inference(quant_inst,[status(thm)],[])).
% 78.24/50.52 tff(8147,plain,
% 78.24/50.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node15(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 78.24/50.52 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 78.24/50.52 tff(8148,plain,
% 78.24/50.52 ($false),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8147, 612, 8075, 8144, 8083])).
% 78.24/50.52 tff(8149,plain,((~node15(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 78.24/50.52 tff(8150,plain,
% 78.24/50.52 (~node15(c_e_h_1, c_h, s10, s11)),
% 78.24/50.52 inference(unit_resolution,[status(thm)],[8149, 8083, 8075])).
% 78.24/50.52 tff(8151,plain,
% 78.24/50.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8152,plain,
% 78.24/50.53 ((node16(c_e_h_1, c_h, s10) | node14(c_e_h_1, c_h, s10, s11) | node15(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11))) <=> (node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8153,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s10) | node14(c_e_h_1, c_h, s10, s11) | node15(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10)))),
% 78.24/50.53 inference(monotonicity,[status(thm)],[8152])).
% 78.24/50.53 tff(8154,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s10) | node14(c_e_h_1, c_h, s10, s11) | node15(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10))),
% 78.24/50.53 inference(transitivity,[status(thm)],[8153, 8151])).
% 78.24/50.53 tff(8155,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s10) | node14(c_e_h_1, c_h, s10, s11) | node15(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8156,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | (~node19(c_e_h_1, c_h, s10, s11)) | node16(c_e_h_1, c_h, s10)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8155, 8154])).
% 78.24/50.53 tff(8157,plain,
% 78.24/50.53 (node15(c_e_h_1, c_h, s10, s11) | node14(c_e_h_1, c_h, s10, s11) | node16(c_e_h_1, c_h, s10)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8156, 594, 8097])).
% 78.24/50.53 tff(8158,plain,
% 78.24/50.53 (node14(c_e_h_1, c_h, s10, s11)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8157, 8150, 8143])).
% 78.24/50.53 tff(8159,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8160,plain,
% 78.24/50.53 (((~node14(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8161,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11))))),
% 78.24/50.53 inference(monotonicity,[status(thm)],[8160])).
% 78.24/50.53 tff(8162,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 78.24/50.53 inference(transitivity,[status(thm)],[8161, 8159])).
% 78.24/50.53 tff(8163,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8164,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~node14(c_e_h_1, c_h, s10, s11))),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8163, 8162])).
% 78.24/50.53 tff(8165,plain,
% 78.24/50.53 ($false),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8164, 575, 8158, 8113, 8083])).
% 78.24/50.53 tff(8166,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.53 tff(8167,plain,
% 78.24/50.53 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8166, 8075, 8082])).
% 78.24/50.53 tff(8168,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.24/50.53 tff(8169,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.24/50.53 tff(8170,plain,
% 78.24/50.53 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8171,plain,
% 78.24/50.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8172,plain,
% 78.24/50.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 78.24/50.53 tff(8173,plain,
% 78.24/50.53 ($false),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8172, 8, 8169, 8168])).
% 78.24/50.53 tff(8174,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.53 tff(8175,plain,
% 78.24/50.53 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8174, 8167])).
% 78.24/50.53 tff(8176,assumption,(node20(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.24/50.53 tff(8177,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.24/50.53 tff(8178,plain,
% 78.24/50.53 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8179,plain,
% 78.24/50.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8180,plain,
% 78.24/50.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 78.24/50.53 tff(8181,plain,
% 78.24/50.53 ($false),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8180, 22, 8177, 8176])).
% 78.24/50.53 tff(8182,plain,((~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.53 tff(8183,plain,
% 78.24/50.53 (~node20(c_e_h_1, c_i, s11)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8182, 8175])).
% 78.24/50.53 tff(8184,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.24/50.53 tff(8185,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.24/50.53 tff(8186,plain,
% 78.24/50.53 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8187,plain,
% 78.24/50.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8188,plain,
% 78.24/50.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 78.24/50.53 tff(8189,plain,
% 78.24/50.53 ($false),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8188, 4785, 8184, 8185])).
% 78.24/50.53 tff(8190,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.53 tff(8191,plain,
% 78.24/50.53 (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8190, 8184])).
% 78.24/50.53 tff(8192,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.24/50.53 tff(8193,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.24/50.53 tff(8194,assumption,(node18(c_e_h_1, c_e, s11, s12)), introduced(assumption)).
% 78.24/50.53 tff(8195,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8196,plain,
% 78.24/50.53 (((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~node18(c_e_h_1, c_e, s11, s12))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8197,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~node18(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12))))),
% 78.24/50.53 inference(monotonicity,[status(thm)],[8196])).
% 78.24/50.53 tff(8198,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~node18(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 78.24/50.53 inference(transitivity,[status(thm)],[8197, 8195])).
% 78.24/50.53 tff(8199,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8200,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s11, s12))),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 78.24/50.53 tff(8201,plain,
% 78.24/50.53 ($false),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8200, 481, 8192, 8194, 8081])).
% 78.24/50.53 tff(8202,plain,((~node18(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 78.24/50.53 tff(8203,plain,
% 78.24/50.53 (~node18(c_e_h_1, c_e, s11, s12)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8202, 8192, 8081])).
% 78.24/50.53 tff(8204,plain,
% 78.24/50.53 (succ(s11, s12) <=> succ(s11, s12)),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8205,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 78.24/50.53 tff(8206,plain,
% 78.24/50.53 (succ(s11, s12)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 78.24/50.53 tff(8207,plain,
% 78.24/50.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8208,plain,
% 78.24/50.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8209,plain,
% 78.24/50.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 78.24/50.53 tff(8210,plain,
% 78.24/50.53 (trans(s11, s12)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8209, 8206, 176])).
% 78.24/50.53 tff(8211,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_e, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_e, s11, s12))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8212,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_e, s11, s12))),
% 78.24/50.53 inference(quant_inst,[status(thm)],[])).
% 78.24/50.53 tff(8213,plain,
% 78.24/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_e, s11, s12)),
% 78.24/50.53 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 78.24/50.53 tff(8214,plain,
% 78.24/50.53 (node19(c_e_h_1, c_e, s11, s12)),
% 78.24/50.53 inference(unit_resolution,[status(thm)],[8213, 494, 8210])).
% 78.24/50.53 tff(8215,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8216,plain,
% 78.24/50.53 ((node17(c_e_h_1, c_e, s11) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12))) <=> (node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11))),
% 78.24/50.53 inference(rewrite,[status(thm)],[])).
% 78.24/50.53 tff(8217,plain,
% 78.24/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s11) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11)))),
% 78.27/50.53 inference(monotonicity,[status(thm)],[8216])).
% 78.27/50.53 tff(8218,plain,
% 78.27/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s11) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11))),
% 78.27/50.53 inference(transitivity,[status(thm)],[8217, 8215])).
% 78.27/50.53 tff(8219,plain,
% 78.27/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s11) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))),
% 78.27/50.53 inference(quant_inst,[status(thm)],[])).
% 78.27/50.53 tff(8220,plain,
% 78.27/50.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)) | node17(c_e_h_1, c_e, s11)),
% 78.27/50.53 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 78.27/50.53 tff(8221,plain,
% 78.27/50.53 (node18(c_e_h_1, c_e, s11, s12) | node17(c_e_h_1, c_e, s11)),
% 78.27/50.53 inference(unit_resolution,[status(thm)],[8220, 508, 8214])).
% 78.27/50.53 tff(8222,plain,
% 78.27/50.53 (node17(c_e_h_1, c_e, s11)),
% 78.27/50.53 inference(unit_resolution,[status(thm)],[8221, 8203])).
% 78.27/50.53 tff(8223,assumption,(~node15(c_e_h_1, c_e, s11, s12)), introduced(assumption)).
% 78.27/50.53 tff(8224,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.27/50.53 tff(8225,plain,
% 78.27/50.53 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11))),
% 78.27/50.53 inference(rewrite,[status(thm)],[])).
% 78.27/50.53 tff(8226,plain,
% 78.27/50.53 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11))),
% 78.27/50.53 inference(quant_inst,[status(thm)],[])).
% 78.27/50.53 tff(8227,plain,
% 78.27/50.53 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 78.27/50.53 inference(modus_ponens,[status(thm)],[8226, 8225])).
% 78.27/50.53 tff(8228,plain,
% 78.27/50.53 (~node16(c_e_h_1, c_e, s11)),
% 78.27/50.53 inference(unit_resolution,[status(thm)],[8227, 559, 8193, 8224])).
% 78.27/50.53 tff(8229,plain,
% 78.27/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11))),
% 78.27/50.53 inference(rewrite,[status(thm)],[])).
% 78.27/50.53 tff(8230,plain,
% 78.27/50.53 ((node16(c_e_h_1, c_e, s11) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12))) <=> ((~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11))),
% 78.27/50.53 inference(rewrite,[status(thm)],[])).
% 78.27/50.53 tff(8231,plain,
% 78.27/50.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s11) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11)))),
% 78.27/50.54 inference(monotonicity,[status(thm)],[8230])).
% 78.27/50.54 tff(8232,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s11) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(transitivity,[status(thm)],[8231, 8229])).
% 78.27/50.54 tff(8233,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s11) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | (~node19(c_e_h_1, c_e, s11, s12)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8234,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s11, s12)) | node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 78.27/50.54 tff(8235,plain,
% 78.27/50.54 (node14(c_e_h_1, c_e, s11, s12) | node15(c_e_h_1, c_e, s11, s12) | node16(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8234, 594, 8214])).
% 78.27/50.54 tff(8236,plain,
% 78.27/50.54 (node14(c_e_h_1, c_e, s11, s12)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8235, 8228, 8223])).
% 78.27/50.54 tff(8237,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8238,plain,
% 78.27/50.54 (((~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8239,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11)))),
% 78.27/50.54 inference(monotonicity,[status(thm)],[8238])).
% 78.27/50.54 tff(8240,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(transitivity,[status(thm)],[8239, 8237])).
% 78.27/50.54 tff(8241,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8242,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 78.27/50.54 tff(8243,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8242, 575, 8192, 8236, 8224])).
% 78.27/50.54 tff(8244,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | node15(c_e_h_1, c_e, s11, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8245,plain,
% 78.27/50.54 (m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8244, 8193, 8223, 8192])).
% 78.27/50.54 tff(8246,assumption,(node17(c_e_h_1, c_e, s11)), introduced(assumption)).
% 78.27/50.54 tff(8247,plain,
% 78.27/50.54 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8248,plain,
% 78.27/50.54 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8249,plain,
% 78.27/50.54 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8248, 8247])).
% 78.27/50.54 tff(8250,plain,
% 78.27/50.54 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8249, 541, 8246])).
% 78.27/50.54 tff(8251,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8250, 8245, 8193])).
% 78.27/50.54 tff(8252,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | node15(c_e_h_1, c_e, s11, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8253,plain,
% 78.27/50.54 (node15(c_e_h_1, c_e, s11, s12)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8252, 8222, 8193, 8192])).
% 78.27/50.54 tff(8254,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node15(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node15(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8255,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node15(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8256,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node15(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 78.27/50.54 tff(8257,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8256, 612, 8192, 8253, 8081])).
% 78.27/50.54 tff(8258,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8259,plain,
% 78.27/50.54 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8258, 8191, 8081])).
% 78.27/50.54 tff(8260,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.54 tff(8261,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.54 tff(8262,assumption,(node18(c_e_h_1, c_e, s12, s13)), introduced(assumption)).
% 78.27/50.54 tff(8263,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8264,plain,
% 78.27/50.54 (((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node18(c_e_h_1, c_e, s12, s13))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8265,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node18(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13))))),
% 78.27/50.54 inference(monotonicity,[status(thm)],[8264])).
% 78.27/50.54 tff(8266,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node18(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(transitivity,[status(thm)],[8265, 8263])).
% 78.27/50.54 tff(8267,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node18(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8268,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s12, s13))),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 78.27/50.54 tff(8269,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8268, 481, 8260, 8262, 8080])).
% 78.27/50.54 tff(8270,plain,((~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8271,plain,
% 78.27/50.54 (~node18(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8270, 8080, 8260])).
% 78.27/50.54 tff(8272,plain,
% 78.27/50.54 (succ(s12, s13) <=> succ(s12, s13)),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8273,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 78.27/50.54 tff(8274,plain,
% 78.27/50.54 (succ(s12, s13)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 78.27/50.54 tff(8275,plain,
% 78.27/50.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8276,plain,
% 78.27/50.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8277,plain,
% 78.27/50.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8276, 8275])).
% 78.27/50.54 tff(8278,plain,
% 78.27/50.54 (trans(s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8277, 8274, 176])).
% 78.27/50.54 tff(8279,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_e, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_e, s12, s13))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8280,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_e, s12, s13))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8281,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 78.27/50.54 tff(8282,plain,
% 78.27/50.54 (node19(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8281, 494, 8278])).
% 78.27/50.54 tff(8283,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s12) | node18(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s12) | node18(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8284,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s12) | node18(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8285,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s12) | node18(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13))),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 78.27/50.54 tff(8286,plain,
% 78.27/50.54 (node17(c_e_h_1, c_e, s12) | node18(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8285, 508, 8282])).
% 78.27/50.54 tff(8287,plain,
% 78.27/50.54 (node17(c_e_h_1, c_e, s12)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8286, 8271])).
% 78.27/50.54 tff(8288,assumption,(node15(c_e_h_1, c_e, s12, s13)), introduced(assumption)).
% 78.27/50.54 tff(8289,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8290,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8291,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 78.27/50.54 tff(8292,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8291, 612, 8260, 8288, 8080])).
% 78.27/50.54 tff(8293,plain,((~node15(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8294,plain,
% 78.27/50.54 (~node15(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8293, 8080, 8260])).
% 78.27/50.54 tff(8295,assumption,(node14(c_e_h_1, c_e, s12, s13)), introduced(assumption)).
% 78.27/50.54 tff(8296,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8297,plain,
% 78.27/50.54 (((~node14(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(rewrite,[status(thm)],[])).
% 78.27/50.54 tff(8298,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13))))),
% 78.27/50.54 inference(monotonicity,[status(thm)],[8297])).
% 78.27/50.54 tff(8299,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.54 inference(transitivity,[status(thm)],[8298, 8296])).
% 78.27/50.54 tff(8300,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))),
% 78.27/50.54 inference(quant_inst,[status(thm)],[])).
% 78.27/50.54 tff(8301,plain,
% 78.27/50.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s12, s13))),
% 78.27/50.54 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 78.27/50.54 tff(8302,plain,
% 78.27/50.54 ($false),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8301, 575, 8295, 8080, 8261])).
% 78.27/50.54 tff(8303,plain,((~node14(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.54 tff(8304,plain,
% 78.27/50.54 (~node14(c_e_h_1, c_e, s12, s13)),
% 78.27/50.54 inference(unit_resolution,[status(thm)],[8303, 8080, 8261])).
% 78.27/50.54 tff(8305,plain,
% 78.27/50.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8306,plain,
% 78.27/50.55 ((node16(c_e_h_1, c_e, s12) | node14(c_e_h_1, c_e, s12, s13) | node15(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13))) <=> (node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8307,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s12) | node14(c_e_h_1, c_e, s12, s13) | node15(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.55 inference(monotonicity,[status(thm)],[8306])).
% 78.27/50.55 tff(8308,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s12) | node14(c_e_h_1, c_e, s12, s13) | node15(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13))),
% 78.27/50.55 inference(transitivity,[status(thm)],[8307, 8305])).
% 78.27/50.55 tff(8309,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s12) | node14(c_e_h_1, c_e, s12, s13) | node15(c_e_h_1, c_e, s12, s13) | (~node19(c_e_h_1, c_e, s12, s13)))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8310,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | (~node19(c_e_h_1, c_e, s12, s13)) | node15(c_e_h_1, c_e, s12, s13)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8309, 8308])).
% 78.27/50.55 tff(8311,plain,
% 78.27/50.55 (node14(c_e_h_1, c_e, s12, s13) | node16(c_e_h_1, c_e, s12) | node15(c_e_h_1, c_e, s12, s13)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8310, 594, 8282])).
% 78.27/50.55 tff(8312,plain,
% 78.27/50.55 (node16(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8311, 8304, 8294])).
% 78.27/50.55 tff(8313,assumption,(node16(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.55 tff(8314,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8315,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8316,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 78.27/50.55 tff(8317,plain,
% 78.27/50.55 (m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8316, 559, 8313])).
% 78.27/50.55 tff(8318,plain,
% 78.27/50.55 (m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8317, 8261])).
% 78.27/50.55 tff(8319,assumption,(node17(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.55 tff(8320,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~node17(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~node17(c_e_h_1, c_e, s12)))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8321,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~node17(c_e_h_1, c_e, s12)))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8322,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~node17(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8321, 8320])).
% 78.27/50.55 tff(8323,plain,
% 78.27/50.55 (m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8322, 1172, 8319])).
% 78.27/50.55 tff(8324,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8323, 8318, 8261])).
% 78.27/50.55 tff(8325,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s12) | (~node17(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8326,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8325, 8312, 8287, 8261])).
% 78.27/50.55 tff(8327,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8328,plain,
% 78.27/50.55 (m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8327, 8260, 8080])).
% 78.27/50.55 tff(8329,plain,
% 78.27/50.55 (~node18(c_e_h_1, c_e, s12, s13)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8270, 8260, 8080])).
% 78.27/50.55 tff(8330,plain,
% 78.27/50.55 (node17(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8286, 8329])).
% 78.27/50.55 tff(8331,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.55 tff(8332,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8333,plain,
% 78.27/50.55 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~node17(c_e_h_1, c_e, s12))) <=> ((~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8334,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~node17(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12)))),
% 78.27/50.55 inference(monotonicity,[status(thm)],[8333])).
% 78.27/50.55 tff(8335,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~node17(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(transitivity,[status(thm)],[8334, 8332])).
% 78.27/50.55 tff(8336,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~node17(c_e_h_1, c_e, s12)))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8337,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 78.27/50.55 tff(8338,plain,
% 78.27/50.55 ((~node17(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12))),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8337, 541, 8331])).
% 78.27/50.55 tff(8339,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8338, 8330, 8328])).
% 78.27/50.55 tff(8340,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s12) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8341,plain,
% 78.27/50.55 (m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8340, 8259, 8080])).
% 78.27/50.55 tff(8342,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s12)), introduced(assumption)).
% 78.27/50.55 tff(8343,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s12)), introduced(assumption)).
% 78.27/50.55 tff(8344,plain,
% 78.27/50.55 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8345,plain,
% 78.27/50.55 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8346,plain,
% 78.27/50.55 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 78.27/50.55 tff(8347,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8346, 4785, 8343, 8342])).
% 78.27/50.55 tff(8348,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8349,plain,
% 78.27/50.55 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8348, 8341])).
% 78.27/50.55 tff(8350,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s12)), introduced(assumption)).
% 78.27/50.55 tff(8351,assumption,(node22(c_e_h_1, c_i, s11, s12)), introduced(assumption)).
% 78.27/50.55 tff(8352,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8353,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8354,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 78.27/50.55 tff(8355,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8354, 437, 8184, 8351, 8350])).
% 78.27/50.55 tff(8356,plain,((~node22(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8357,plain,
% 78.27/50.55 (~node22(c_e_h_1, c_i, s11, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8356, 8349, 8184])).
% 78.27/50.55 tff(8358,assumption,(~node20(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.27/50.55 tff(8359,assumption,(node21(c_e_h_1, c_i, s11, s12)), introduced(assumption)).
% 78.27/50.55 tff(8360,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node21(c_e_h_1, c_i, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node21(c_e_h_1, c_i, s11, s12)))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8361,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node21(c_e_h_1, c_i, s11, s12)))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8362,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node21(c_e_h_1, c_i, s11, s12))),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 78.27/50.55 tff(8363,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8362, 348, 8359, 8350, 8358])).
% 78.27/50.55 tff(8364,plain,((~node21(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | node20(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8365,plain,
% 78.27/50.55 (~node21(c_e_h_1, c_i, s11, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8364, 8349, 8358])).
% 78.27/50.55 tff(8366,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_i, s11, s12) | node22(c_e_h_1, c_i, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_i, s11, s12) | node22(c_e_h_1, c_i, s11, s12))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8367,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_i, s11, s12) | node22(c_e_h_1, c_i, s11, s12))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8368,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_i, s11, s12) | node22(c_e_h_1, c_i, s11, s12)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 78.27/50.55 tff(8369,plain,
% 78.27/50.55 (node21(c_e_h_1, c_i, s11, s12) | node22(c_e_h_1, c_i, s11, s12)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8368, 383, 8210])).
% 78.27/50.55 tff(8370,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8369, 8365, 8357])).
% 78.27/50.55 tff(8371,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s11) | node20(c_e_h_1, c_i, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8372,plain,
% 78.27/50.55 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8371, 8183, 8081, 8080])).
% 78.27/50.55 tff(8373,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s11)), introduced(assumption)).
% 78.27/50.55 tff(8374,assumption,(node22(c_e_h_1, c_i, s10, s11)), introduced(assumption)).
% 78.27/50.55 tff(8375,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node22(c_e_h_1, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node22(c_e_h_1, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8376,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node22(c_e_h_1, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8377,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node22(c_e_h_1, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 78.27/50.55 tff(8378,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8377, 437, 7993, 8374, 8373])).
% 78.27/50.55 tff(8379,plain,((~node22(c_e_h_1, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8380,plain,
% 78.27/50.55 (~node22(c_e_h_1, c_i, s10, s11)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8379, 8373, 7993])).
% 78.27/50.55 tff(8381,assumption,(~node20(c_e_h_1, c_i, s10)), introduced(assumption)).
% 78.27/50.55 tff(8382,assumption,(node21(c_e_h_1, c_i, s10, s11)), introduced(assumption)).
% 78.27/50.55 tff(8383,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node21(c_e_h_1, c_i, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node21(c_e_h_1, c_i, s10, s11)))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8384,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node21(c_e_h_1, c_i, s10, s11)))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8385,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~node21(c_e_h_1, c_i, s10, s11))),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 78.27/50.55 tff(8386,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8385, 348, 8382, 8373, 8381])).
% 78.27/50.55 tff(8387,plain,((~node21(c_e_h_1, c_i, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | node20(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8388,plain,
% 78.27/50.55 (~node21(c_e_h_1, c_i, s10, s11)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8387, 8373, 8381])).
% 78.27/50.55 tff(8389,plain,
% 78.27/50.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_i, s10, s11) | node22(c_e_h_1, c_i, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_i, s10, s11) | node22(c_e_h_1, c_i, s10, s11))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8390,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_i, s10, s11) | node22(c_e_h_1, c_i, s10, s11))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8391,plain,
% 78.27/50.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_i, s10, s11) | node22(c_e_h_1, c_i, s10, s11)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 78.27/50.55 tff(8392,plain,
% 78.27/50.55 (node21(c_e_h_1, c_i, s10, s11) | node22(c_e_h_1, c_i, s10, s11)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8391, 383, 8015])).
% 78.27/50.55 tff(8393,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8392, 8388, 8380])).
% 78.27/50.55 tff(8394,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | node20(c_e_h_1, c_i, s10) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8395,plain,
% 78.27/50.55 (node20(c_e_h_1, c_i, s10)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8394, 8372, 7993])).
% 78.27/50.55 tff(8396,plain,
% 78.27/50.55 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s10))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8397,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s10))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8398,plain,
% 78.27/50.55 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8397, 8396])).
% 78.27/50.55 tff(8399,plain,
% 78.27/50.55 ($false),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8398, 22, 8395, 8079])).
% 78.27/50.55 tff(8400,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.55 tff(8401,plain,
% 78.27/50.55 ((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8400, 7991, 8074, 6588])).
% 78.27/50.55 tff(8402,plain,
% 78.27/50.55 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8401, 6066])).
% 78.27/50.55 tff(8403,plain,
% 78.27/50.55 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6))),
% 78.27/50.55 inference(rewrite,[status(thm)],[])).
% 78.27/50.55 tff(8404,plain,
% 78.27/50.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6))),
% 78.27/50.55 inference(quant_inst,[status(thm)],[])).
% 78.27/50.55 tff(8405,plain,
% 78.27/50.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 78.27/50.55 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 78.27/50.55 tff(8406,plain,
% 78.27/50.55 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8405, 145])).
% 78.27/50.55 tff(8407,plain,
% 78.27/50.55 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 78.27/50.55 inference(unit_resolution,[status(thm)],[8406, 3526])).
% 78.27/50.55 tff(8408,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)), introduced(assumption)).
% 78.27/50.55 tff(8409,plain,
% 78.27/50.55 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8410,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8411,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 78.27/50.56 tff(8412,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8411, 121])).
% 78.27/50.56 tff(8413,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8412, 2405])).
% 78.27/50.56 tff(8414,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)), introduced(assumption)).
% 78.27/50.56 tff(8415,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)), introduced(assumption)).
% 78.27/50.56 tff(8416,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)), introduced(assumption)).
% 78.27/50.56 tff(8417,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)), introduced(assumption)).
% 78.27/50.56 tff(8418,assumption,(node10(c_e_h_3, c_m, s6, s7)), introduced(assumption)).
% 78.27/50.56 tff(8419,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8420,plain,
% 78.27/50.56 (((~node10(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8421,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7))))),
% 78.27/50.56 inference(monotonicity,[status(thm)],[8420])).
% 78.27/50.56 tff(8422,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(transitivity,[status(thm)],[8421, 8419])).
% 78.27/50.56 tff(8423,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8424,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6)) | (~node10(c_e_h_3, c_m, s6, s7))),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 78.27/50.56 tff(8425,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8424, 160, 8417, 8414, 8416, 8418])).
% 78.27/50.56 tff(8426,plain,((~node10(c_e_h_3, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8427,plain,
% 78.27/50.56 (~node10(c_e_h_3, c_m, s6, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8426, 8417, 8414, 8416])).
% 78.27/50.56 tff(8428,assumption,(node11(c_e_h_3, c_m, s6, s7)), introduced(assumption)).
% 78.27/50.56 tff(8429,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8430,plain,
% 78.27/50.56 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~node11(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8431,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~node11(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7))))),
% 78.27/50.56 inference(monotonicity,[status(thm)],[8430])).
% 78.27/50.56 tff(8432,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~node11(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7)))),
% 78.27/50.56 inference(transitivity,[status(thm)],[8431, 8429])).
% 78.27/50.56 tff(8433,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~node11(c_e_h_3, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8434,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~node11(c_e_h_3, c_m, s6, s7))),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 78.27/50.56 tff(8435,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8434, 208, 8417, 8415, 8428])).
% 78.27/50.56 tff(8436,plain,((~node11(c_e_h_3, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8437,plain,
% 78.27/50.56 (~node11(c_e_h_3, c_m, s6, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8436, 8417, 8415])).
% 78.27/50.56 tff(8438,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_3, c_m, s6, s7) | node11(c_e_h_3, c_m, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_3, c_m, s6, s7) | node11(c_e_h_3, c_m, s6, s7))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8439,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_3, c_m, s6, s7) | node11(c_e_h_3, c_m, s6, s7))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8440,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_3, c_m, s6, s7) | node11(c_e_h_3, c_m, s6, s7)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 78.27/50.56 tff(8441,plain,
% 78.27/50.56 (node10(c_e_h_3, c_m, s6, s7) | node11(c_e_h_3, c_m, s6, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8440, 193, 1685])).
% 78.27/50.56 tff(8442,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8441, 8437, 8427])).
% 78.27/50.56 tff(8443,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8444,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8443, 8415, 8414, 8413])).
% 78.27/50.56 tff(8445,plain,
% 78.27/50.56 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8446,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8447,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7))),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 78.27/50.56 tff(8448,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8447, 224, 8444])).
% 78.27/50.56 tff(8449,plain,
% 78.27/50.56 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8450,plain,
% 78.27/50.56 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8451,plain,
% 78.27/50.56 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s7)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 78.27/50.56 tff(8452,plain,
% 78.27/50.56 (~node9(c_e_h_3, c_n, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8451, 238, 8448])).
% 78.27/50.56 tff(8453,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[2399, 224, 8415])).
% 78.27/50.56 tff(8454,plain,
% 78.27/50.56 (~node9(c_e_h_3, c_n, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[2403, 238, 8453])).
% 78.27/50.56 tff(8455,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[2430, 8454, 2405])).
% 78.27/50.56 tff(8456,assumption,(~node9(c_e_h_3, c_n, s7)), introduced(assumption)).
% 78.27/50.56 tff(8457,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)), introduced(assumption)).
% 78.27/50.56 tff(8458,assumption,(node11(c_e_h_3, c_n, s7, s8)), introduced(assumption)).
% 78.27/50.56 tff(8459,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node11(c_e_h_3, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node11(c_e_h_3, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8460,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node11(c_e_h_3, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8461,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node11(c_e_h_3, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 78.27/50.56 tff(8462,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8461, 282, 8457, 8458, 8408])).
% 78.27/50.56 tff(8463,plain,((~node11(c_e_h_3, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8464,plain,
% 78.27/50.56 (~node11(c_e_h_3, c_n, s7, s8)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8463, 8408, 8457])).
% 78.27/50.56 tff(8465,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_3, c_n, s7, s8) | node11(c_e_h_3, c_n, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_3, c_n, s7, s8) | node11(c_e_h_3, c_n, s7, s8))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8466,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_3, c_n, s7, s8) | node11(c_e_h_3, c_n, s7, s8))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8467,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_3, c_n, s7, s8) | node11(c_e_h_3, c_n, s7, s8)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 78.27/50.56 tff(8468,plain,
% 78.27/50.56 (node10(c_e_h_3, c_n, s7, s8) | node11(c_e_h_3, c_n, s7, s8)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8467, 193, 2456])).
% 78.27/50.56 tff(8469,plain,
% 78.27/50.56 (node10(c_e_h_3, c_n, s7, s8)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8468, 8464])).
% 78.27/50.56 tff(8470,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node10(c_e_h_3, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node10(c_e_h_3, c_n, s7, s8)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8471,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node10(c_e_h_3, c_n, s7, s8)))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8472,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~node10(c_e_h_3, c_n, s7, s8))),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 78.27/50.56 tff(8473,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8472, 252, 8469, 8408, 8456])).
% 78.27/50.56 tff(8474,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | node9(c_e_h_3, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8475,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8474, 8455, 8452, 8408])).
% 78.27/50.56 tff(8476,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8477,plain,
% 78.27/50.56 ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6))),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8476, 1660])).
% 78.27/50.56 tff(8478,plain,
% 78.27/50.56 ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6))),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8477, 2396])).
% 78.27/50.56 tff(8479,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8478, 8407])).
% 78.27/50.56 tff(8480,plain,
% 78.27/50.56 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7) | m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7) | m_c_h_element_v_out(c_e_h_3, c_f, s7))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8481,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7) | m_c_h_element_v_out(c_e_h_3, c_f, s7))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8482,plain,
% 78.27/50.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7) | m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8481, 8480])).
% 78.27/50.56 tff(8483,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7) | m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8482, 145])).
% 78.27/50.56 tff(8484,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8483, 3629])).
% 78.27/50.56 tff(8485,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)), introduced(assumption)).
% 78.27/50.56 tff(8486,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), introduced(assumption)).
% 78.27/50.56 tff(8487,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[864, 834])).
% 78.27/50.56 tff(8488,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1275, 8487, 1257])).
% 78.27/50.56 tff(8489,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s4)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1284, 8488])).
% 78.27/50.56 tff(8490,plain,
% 78.27/50.56 (~node9(c_e_h_3, c_n, s4)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1292, 8489])).
% 78.27/50.56 tff(8491,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s3)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[868, 224, 8487])).
% 78.27/50.56 tff(8492,plain,
% 78.27/50.56 (~node9(c_e_h_3, c_n, s3)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[872, 238, 8491])).
% 78.27/50.56 tff(8493,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s4)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[897, 8492])).
% 78.27/50.56 tff(8494,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[2390, 8493, 1573, 2352, 8488, 8490])).
% 78.27/50.56 tff(8495,plain,
% 78.27/50.56 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s5)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1619, 834, 1257, 1573])).
% 78.27/50.56 tff(8496,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s5)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1634, 224, 8495])).
% 78.27/50.56 tff(8497,plain,
% 78.27/50.56 (~node9(c_e_h_3, c_n, s5)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1638, 238, 8496])).
% 78.27/50.56 tff(8498,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s5)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1316, 8493, 8490])).
% 78.27/50.56 tff(8499,plain,
% 78.27/50.56 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[1659, 8498, 8497])).
% 78.27/50.56 tff(8500,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)), introduced(assumption)).
% 78.27/50.56 tff(8501,assumption,(node10(c_e_h_3, c_m, s7, s8)), introduced(assumption)).
% 78.27/50.56 tff(8502,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8503,plain,
% 78.27/50.56 (((~node10(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8504,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8))))),
% 78.27/50.56 inference(monotonicity,[status(thm)],[8503])).
% 78.27/50.56 tff(8505,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(transitivity,[status(thm)],[8504, 8502])).
% 78.27/50.56 tff(8506,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))),
% 78.27/50.56 inference(quant_inst,[status(thm)],[])).
% 78.27/50.56 tff(8507,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~node10(c_e_h_3, c_m, s7, s8))),
% 78.27/50.56 inference(modus_ponens,[status(thm)],[8506, 8505])).
% 78.27/50.56 tff(8508,plain,
% 78.27/50.56 ($false),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8507, 160, 8500, 8485, 8486, 8501])).
% 78.27/50.56 tff(8509,plain,((~node10(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.56 tff(8510,plain,
% 78.27/50.56 (~node10(c_e_h_3, c_m, s7, s8)),
% 78.27/50.56 inference(unit_resolution,[status(thm)],[8509, 8486, 8485, 8500])).
% 78.27/50.56 tff(8511,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)), introduced(assumption)).
% 78.27/50.56 tff(8512,assumption,(node11(c_e_h_3, c_m, s7, s8)), introduced(assumption)).
% 78.27/50.56 tff(8513,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8514,plain,
% 78.27/50.56 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(rewrite,[status(thm)],[])).
% 78.27/50.56 tff(8515,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8))))),
% 78.27/50.56 inference(monotonicity,[status(thm)],[8514])).
% 78.27/50.56 tff(8516,plain,
% 78.27/50.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)))),
% 78.27/50.56 inference(transitivity,[status(thm)],[8515, 8513])).
% 78.27/50.56 tff(8517,plain,
% 78.27/50.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8518,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~node11(c_e_h_3, c_m, s7, s8))),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 78.27/50.57 tff(8519,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8518, 208, 8511, 8486, 8512])).
% 78.27/50.57 tff(8520,plain,((~node11(c_e_h_3, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8521,plain,
% 78.27/50.57 (~node11(c_e_h_3, c_m, s7, s8)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8520, 8486, 8511])).
% 78.27/50.57 tff(8522,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_3, c_m, s7, s8) | node11(c_e_h_3, c_m, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_3, c_m, s7, s8) | node11(c_e_h_3, c_m, s7, s8))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8523,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_3, c_m, s7, s8) | node11(c_e_h_3, c_m, s7, s8))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8524,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_3, c_m, s7, s8) | node11(c_e_h_3, c_m, s7, s8)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 78.27/50.57 tff(8525,plain,
% 78.27/50.57 (node10(c_e_h_3, c_m, s7, s8) | node11(c_e_h_3, c_m, s7, s8)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8524, 193, 2456])).
% 78.27/50.57 tff(8526,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8525, 8521, 8510])).
% 78.27/50.57 tff(8527,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8528,plain,
% 78.27/50.57 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8527, 8444, 8485, 8486])).
% 78.27/50.57 tff(8529,plain,
% 78.27/50.57 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8530,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8531,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 78.27/50.57 tff(8532,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8531, 121])).
% 78.27/50.57 tff(8533,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s7)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8532, 8528])).
% 78.27/50.57 tff(8534,plain,
% 78.27/50.57 (node9(c_e_h_3, c_n, s6)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[2430, 8533, 2405])).
% 78.27/50.57 tff(8535,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[2403, 238, 8453, 8534])).
% 78.27/50.57 tff(8536,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8537,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8536, 8499, 8494, 8486, 8414, 8485])).
% 78.27/50.57 tff(8538,plain,((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8539,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3))),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8538, 827])).
% 78.27/50.57 tff(8540,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5))),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8539, 1239, 2349])).
% 78.27/50.57 tff(8541,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7))),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8540, 2348])).
% 78.27/50.57 tff(8542,plain,
% 78.27/50.57 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8541, 8484, 8407])).
% 78.27/50.57 tff(8543,plain,
% 78.27/50.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8544,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8545,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 78.27/50.57 tff(8546,plain,
% 78.27/50.57 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8545, 224, 8542])).
% 78.27/50.57 tff(8547,plain,
% 78.27/50.57 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8548,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8549,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 78.27/50.57 tff(8550,plain,
% 78.27/50.57 (~node9(c_e_h_3, c_n, s8)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8549, 238, 8546])).
% 78.27/50.57 tff(8551,assumption,(~node9(c_e_h_3, c_n, s8)), introduced(assumption)).
% 78.27/50.57 tff(8552,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)), introduced(assumption)).
% 78.27/50.57 tff(8553,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)), introduced(assumption)).
% 78.27/50.57 tff(8554,assumption,(node11(c_e_h_3, c_n, s8, s9)), introduced(assumption)).
% 78.27/50.57 tff(8555,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node11(c_e_h_3, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node11(c_e_h_3, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8556,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node11(c_e_h_3, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8557,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node11(c_e_h_3, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 78.27/50.57 tff(8558,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8557, 282, 8553, 8554, 8552])).
% 78.27/50.57 tff(8559,plain,((~node11(c_e_h_3, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8560,plain,
% 78.27/50.57 (~node11(c_e_h_3, c_n, s8, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8559, 8553, 8552])).
% 78.27/50.57 tff(8561,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_3, c_n, s8, s9) | node11(c_e_h_3, c_n, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_3, c_n, s8, s9) | node11(c_e_h_3, c_n, s8, s9))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8562,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_3, c_n, s8, s9) | node11(c_e_h_3, c_n, s8, s9))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8563,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_3, c_n, s8, s9) | node11(c_e_h_3, c_n, s8, s9)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 78.27/50.57 tff(8564,plain,
% 78.27/50.57 (node10(c_e_h_3, c_n, s8, s9) | node11(c_e_h_3, c_n, s8, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8563, 193, 3713])).
% 78.27/50.57 tff(8565,plain,
% 78.27/50.57 (node10(c_e_h_3, c_n, s8, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8564, 8560])).
% 78.27/50.57 tff(8566,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node10(c_e_h_3, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node10(c_e_h_3, c_n, s8, s9)))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8567,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node10(c_e_h_3, c_n, s8, s9)))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8568,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | (~node10(c_e_h_3, c_n, s8, s9))),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8567, 8566])).
% 78.27/50.57 tff(8569,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8568, 252, 8553, 8565, 8551])).
% 78.27/50.57 tff(8570,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)) | node9(c_e_h_3, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8571,plain,
% 78.27/50.57 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8570, 8550, 8479])).
% 78.27/50.57 tff(8572,plain,
% 78.27/50.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8573,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8574,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8573, 8572])).
% 78.27/50.57 tff(8575,plain,
% 78.27/50.57 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8574, 320, 8571])).
% 78.27/50.57 tff(8576,plain,
% 78.27/50.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s9))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8577,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s9))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8578,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s9)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 78.27/50.57 tff(8579,plain,
% 78.27/50.57 (~node20(c_e_h_3, c_q, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8578, 334, 8575])).
% 78.27/50.57 tff(8580,assumption,(~node20(c_e_h_3, c_q, s9)), introduced(assumption)).
% 78.27/50.57 tff(8581,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s9)), introduced(assumption)).
% 78.27/50.57 tff(8582,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s10)), introduced(assumption)).
% 78.27/50.57 tff(8583,assumption,(node22(c_e_h_3, c_q, s9, s10)), introduced(assumption)).
% 78.27/50.57 tff(8584,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node22(c_e_h_3, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node22(c_e_h_3, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8585,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node22(c_e_h_3, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8586,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node22(c_e_h_3, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 78.27/50.57 tff(8587,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8586, 437, 8582, 8583, 8581])).
% 78.27/50.57 tff(8588,plain,((~node22(c_e_h_3, c_q, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8589,plain,
% 78.27/50.57 (~node22(c_e_h_3, c_q, s9, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8588, 8582, 8581])).
% 78.27/50.57 tff(8590,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_3, c_q, s9, s10) | node22(c_e_h_3, c_q, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_3, c_q, s9, s10) | node22(c_e_h_3, c_q, s9, s10))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8591,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_3, c_q, s9, s10) | node22(c_e_h_3, c_q, s9, s10))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8592,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_3, c_q, s9, s10) | node22(c_e_h_3, c_q, s9, s10)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 78.27/50.57 tff(8593,plain,
% 78.27/50.57 (node21(c_e_h_3, c_q, s9, s10) | node22(c_e_h_3, c_q, s9, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8592, 383, 6039])).
% 78.27/50.57 tff(8594,plain,
% 78.27/50.57 (node21(c_e_h_3, c_q, s9, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8593, 8589])).
% 78.27/50.57 tff(8595,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10)))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8596,plain,
% 78.27/50.57 ((node20(c_e_h_3, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node21(c_e_h_3, c_q, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10)))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8597,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node21(c_e_h_3, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10))))),
% 78.27/50.57 inference(monotonicity,[status(thm)],[8596])).
% 78.27/50.57 tff(8598,plain,
% 78.27/50.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node21(c_e_h_3, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10)))),
% 78.27/50.57 inference(transitivity,[status(thm)],[8597, 8595])).
% 78.27/50.57 tff(8599,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node21(c_e_h_3, c_q, s9, s10)))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8600,plain,
% 78.27/50.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | (~node21(c_e_h_3, c_q, s9, s10))),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 78.27/50.57 tff(8601,plain,
% 78.27/50.57 ($false),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8600, 348, 8582, 8594, 8580])).
% 78.27/50.57 tff(8602,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | node20(c_e_h_3, c_q, s9) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.57 tff(8603,plain,
% 78.27/50.57 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8602, 8579])).
% 78.27/50.57 tff(8604,plain,
% 78.27/50.57 (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8603, 3723])).
% 78.27/50.57 tff(8605,plain,
% 78.27/50.57 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s10))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8606,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s10))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8607,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s10)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 78.27/50.57 tff(8608,plain,
% 78.27/50.57 (node3(c_e_h_3, c_e_h_1, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8607, 1050, 1791])).
% 78.27/50.57 tff(8609,plain,
% 78.27/50.57 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8610,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8611,plain,
% 78.27/50.57 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 78.27/50.57 tff(8612,plain,
% 78.27/50.57 ((~m_cell_v_ack(c_e_h_1, s10)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8611, 1808, 8608])).
% 78.27/50.57 tff(8613,plain,
% 78.27/50.57 (~m_cell_v_ack(c_e_h_1, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8612, 8604])).
% 78.27/50.57 tff(8614,plain,
% 78.27/50.57 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | m_cell_v_ack(c_e_h_1, s10))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | m_cell_v_ack(c_e_h_1, s10))),
% 78.27/50.57 inference(rewrite,[status(thm)],[])).
% 78.27/50.57 tff(8615,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | m_cell_v_ack(c_e_h_1, s10))),
% 78.27/50.57 inference(quant_inst,[status(thm)],[])).
% 78.27/50.57 tff(8616,plain,
% 78.27/50.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | m_cell_v_ack(c_e_h_1, s10)),
% 78.27/50.57 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 78.27/50.57 tff(8617,plain,
% 78.27/50.57 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[8616, 1820, 8613])).
% 78.27/50.57 tff(8618,plain,
% 78.27/50.57 (~m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 78.27/50.57 inference(unit_resolution,[status(thm)],[5808, 5803])).
% 78.27/50.57 tff(8619,plain,
% 78.27/50.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5905, 8618])).
% 78.27/50.58 tff(8620,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5910, 8619])).
% 78.27/50.58 tff(8621,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5947, 8620])).
% 78.27/50.58 tff(8622,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5951, 3886, 8621])).
% 78.27/50.58 tff(8623,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5955, 238, 8622])).
% 78.27/50.58 tff(8624,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), introduced(assumption)).
% 78.27/50.58 tff(8625,plain,
% 78.27/50.58 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[7491, 5803, 7478])).
% 78.27/50.58 tff(8626,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)), introduced(assumption)).
% 78.27/50.58 tff(8627,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5229, 5130, 5451])).
% 78.27/50.58 tff(8628,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5233, 3886, 8627])).
% 78.27/50.58 tff(8629,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5237, 238, 8628])).
% 78.27/50.58 tff(8630,plain,
% 78.27/50.58 (~m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5772, 5121])).
% 78.27/50.58 tff(8631,plain,
% 78.27/50.58 (~m_c_h_element_v_in2(c_e_h_1, c_e, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5812, 8630])).
% 78.27/50.58 tff(8632,plain,
% 78.27/50.58 (~m_c_h_element_v_out(c_e_h_1, c_e, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5189, 5130, 5451])).
% 78.27/50.58 tff(8633,plain,
% 78.27/50.58 (~m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5579, 8632, 8631])).
% 78.27/50.58 tff(8634,plain,
% 78.27/50.58 (~m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5904, 8633, 5840])).
% 78.27/50.58 tff(8635,plain,
% 78.27/50.58 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[7591, 8634, 7588])).
% 78.27/50.58 tff(8636,plain,
% 78.27/50.58 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8637,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8638,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 78.27/50.58 tff(8639,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8638, 3964])).
% 78.27/50.58 tff(8640,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8639, 8635])).
% 78.27/50.58 tff(8641,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5495, 8633])).
% 78.27/50.58 tff(8642,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5194, 8632])).
% 78.27/50.58 tff(8643,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5910, 8634])).
% 78.27/50.58 tff(8644,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5199, 4929])).
% 78.27/50.58 tff(8645,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5226, 5218, 8644, 5202])).
% 78.27/50.58 tff(8646,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[4922, 3886, 5218])).
% 78.27/50.58 tff(8647,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s4)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[4926, 238, 8646])).
% 78.27/50.58 tff(8648,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[4950, 8647, 4929])).
% 78.27/50.58 tff(8649,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5459, 8648])).
% 78.27/50.58 tff(8650,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5490, 8649, 8645, 5473])).
% 78.27/50.58 tff(8651,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5233, 3886, 8645])).
% 78.27/50.58 tff(8652,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5237, 238, 8651])).
% 78.27/50.58 tff(8653,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5258, 8648, 8652])).
% 78.27/50.58 tff(8654,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5915, 8653])).
% 78.27/50.58 tff(8655,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5946, 8654, 8650, 5919, 5918])).
% 78.27/50.58 tff(8656,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8657,plain,
% 78.27/50.58 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4))),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8656, 4591])).
% 78.27/50.58 tff(8658,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8657, 8643, 5132, 8642, 8641])).
% 78.27/50.58 tff(8659,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)), introduced(assumption)).
% 78.27/50.58 tff(8660,assumption,(node11(c_e_h_1, c_n, s7, s8)), introduced(assumption)).
% 78.27/50.58 tff(8661,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8662,plain,
% 78.27/50.58 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~node11(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8663,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~node11(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8))))),
% 78.27/50.58 inference(monotonicity,[status(thm)],[8662])).
% 78.27/50.58 tff(8664,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~node11(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(transitivity,[status(thm)],[8663, 8661])).
% 78.27/50.58 tff(8665,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~node11(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8666,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | (~node11(c_e_h_1, c_n, s7, s8))),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 78.27/50.58 tff(8667,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8666, 208, 8659, 8626, 8660])).
% 78.27/50.58 tff(8668,plain,((~node11(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8669,plain,
% 78.27/50.58 (~node11(c_e_h_1, c_n, s7, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8668, 8626, 8659])).
% 78.27/50.58 tff(8670,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)), introduced(assumption)).
% 78.27/50.58 tff(8671,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)), introduced(assumption)).
% 78.27/50.58 tff(8672,assumption,(node10(c_e_h_1, c_n, s7, s8)), introduced(assumption)).
% 78.27/50.58 tff(8673,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8674,plain,
% 78.27/50.58 (((~node10(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8675,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8))))),
% 78.27/50.58 inference(monotonicity,[status(thm)],[8674])).
% 78.27/50.58 tff(8676,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8)))),
% 78.27/50.58 inference(transitivity,[status(thm)],[8675, 8673])).
% 78.27/50.58 tff(8677,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8678,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~node10(c_e_h_1, c_n, s7, s8))),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 78.27/50.58 tff(8679,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8678, 160, 8671, 8670, 8626, 8672])).
% 78.27/50.58 tff(8680,plain,((~node10(c_e_h_1, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8681,plain,
% 78.27/50.58 (~node10(c_e_h_1, c_n, s7, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8680, 8626, 8671, 8670])).
% 78.27/50.58 tff(8682,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_1, c_n, s7, s8) | node11(c_e_h_1, c_n, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_1, c_n, s7, s8) | node11(c_e_h_1, c_n, s7, s8))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8683,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_1, c_n, s7, s8) | node11(c_e_h_1, c_n, s7, s8))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8684,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_1, c_n, s7, s8) | node11(c_e_h_1, c_n, s7, s8)),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 78.27/50.58 tff(8685,plain,
% 78.27/50.58 (node10(c_e_h_1, c_n, s7, s8) | node11(c_e_h_1, c_n, s7, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8684, 193, 2456])).
% 78.27/50.58 tff(8686,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8685, 8681, 8669])).
% 78.27/50.58 tff(8687,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8688,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8687, 8658, 8626, 8640])).
% 78.27/50.58 tff(8689,plain,
% 78.27/50.58 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8690,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8691,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 78.27/50.58 tff(8692,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8691, 3976])).
% 78.27/50.58 tff(8693,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8692, 8688])).
% 78.27/50.58 tff(8694,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5585, 5130, 5121])).
% 78.27/50.58 tff(8695,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5594, 3886, 8694])).
% 78.27/50.58 tff(8696,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5598, 238, 8695])).
% 78.27/50.58 tff(8697,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5622, 8696, 8693])).
% 78.27/50.58 tff(8698,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[5258, 5455, 8697, 8629])).
% 78.27/50.58 tff(8699,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s3) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8700,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8699, 5120, 4882])).
% 78.27/50.58 tff(8701,plain,
% 78.27/50.58 (m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8700, 8618, 8626])).
% 78.27/50.58 tff(8702,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[7500, 8701, 8625])).
% 78.27/50.58 tff(8703,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | node20(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8704,plain,
% 78.27/50.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8703, 5803, 7478])).
% 78.27/50.58 tff(8705,plain,
% 78.27/50.58 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8706,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8707,plain,
% 78.27/50.58 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 78.27/50.58 tff(8708,plain,
% 78.27/50.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8707, 3886, 8704])).
% 78.27/50.58 tff(8709,plain,
% 78.27/50.58 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8710,plain,
% 78.27/50.58 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8711,plain,
% 78.27/50.58 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 78.27/50.58 tff(8712,plain,
% 78.27/50.58 (~node9(c_e_h_1, c_m, s8)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8711, 238, 8708])).
% 78.27/50.58 tff(8713,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)), introduced(assumption)).
% 78.27/50.58 tff(8714,assumption,(node11(c_e_h_1, c_m, s8, s9)), introduced(assumption)).
% 78.27/50.58 tff(8715,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node11(c_e_h_1, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node11(c_e_h_1, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8716,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node11(c_e_h_1, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 78.27/50.58 inference(quant_inst,[status(thm)],[])).
% 78.27/50.58 tff(8717,plain,
% 78.27/50.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node11(c_e_h_1, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 78.27/50.58 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 78.27/50.58 tff(8718,plain,
% 78.27/50.58 ($false),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8717, 282, 8713, 8714, 8624])).
% 78.27/50.58 tff(8719,plain,((~node11(c_e_h_1, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.58 tff(8720,plain,
% 78.27/50.58 (~node11(c_e_h_1, c_m, s8, s9)),
% 78.27/50.58 inference(unit_resolution,[status(thm)],[8719, 8624, 8713])).
% 78.27/50.58 tff(8721,assumption,(~node9(c_e_h_1, c_m, s8)), introduced(assumption)).
% 78.27/50.58 tff(8722,assumption,(node10(c_e_h_1, c_m, s8, s9)), introduced(assumption)).
% 78.27/50.58 tff(8723,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8724,plain,
% 78.27/50.58 ((node9(c_e_h_1, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s8, s9))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9)))),
% 78.27/50.58 inference(rewrite,[status(thm)],[])).
% 78.27/50.58 tff(8725,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9))))),
% 78.27/50.58 inference(monotonicity,[status(thm)],[8724])).
% 78.27/50.58 tff(8726,plain,
% 78.27/50.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9)))),
% 78.27/50.58 inference(transitivity,[status(thm)],[8725, 8723])).
% 78.27/50.59 tff(8727,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s8, s9)))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8728,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | (~node10(c_e_h_1, c_m, s8, s9))),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8727, 8726])).
% 78.27/50.59 tff(8729,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8728, 252, 8722, 8624, 8721])).
% 78.27/50.59 tff(8730,plain,((~node10(c_e_h_1, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8731,plain,
% 78.27/50.59 (~node10(c_e_h_1, c_m, s8, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8730, 8624, 8721])).
% 78.27/50.59 tff(8732,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_1, c_m, s8, s9) | node11(c_e_h_1, c_m, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_1, c_m, s8, s9) | node11(c_e_h_1, c_m, s8, s9))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8733,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_1, c_m, s8, s9) | node11(c_e_h_1, c_m, s8, s9))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8734,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_1, c_m, s8, s9) | node11(c_e_h_1, c_m, s8, s9)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 78.27/50.59 tff(8735,plain,
% 78.27/50.59 (node10(c_e_h_1, c_m, s8, s9) | node11(c_e_h_1, c_m, s8, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8734, 193, 3713])).
% 78.27/50.59 tff(8736,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8735, 8731, 8720])).
% 78.27/50.59 tff(8737,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8738,plain,
% 78.27/50.59 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8737, 8712, 8624])).
% 78.27/50.59 tff(8739,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[5977, 8738, 8623])).
% 78.27/50.59 tff(8740,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node20(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8741,plain,
% 78.27/50.59 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node20(c_e_h_1, c_i, s5)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8740, 5801])).
% 78.27/50.59 tff(8742,plain,
% 78.27/50.59 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8741, 7469])).
% 78.27/50.59 tff(8743,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_l, s9)), introduced(assumption)).
% 78.27/50.59 tff(8744,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), introduced(assumption)).
% 78.27/50.59 tff(8745,plain,
% 78.27/50.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8746,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8747,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 78.27/50.59 tff(8748,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8747, 3838, 8744, 8743])).
% 78.27/50.59 tff(8749,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8750,plain,
% 78.27/50.59 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8749, 8742])).
% 78.27/50.59 tff(8751,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)), introduced(assumption)).
% 78.27/50.59 tff(8752,assumption,(node20(c_e_h_1, c_l, s9)), introduced(assumption)).
% 78.27/50.59 tff(8753,plain,
% 78.27/50.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s9))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8754,plain,
% 78.27/50.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s9))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8755,plain,
% 78.27/50.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s9)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8754, 8753])).
% 78.27/50.59 tff(8756,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8755, 334, 8752, 8751])).
% 78.27/50.59 tff(8757,plain,((~node20(c_e_h_1, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8758,plain,
% 78.27/50.59 (~node20(c_e_h_1, c_l, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8757, 8750])).
% 78.27/50.59 tff(8759,assumption,(~node20(c_e_h_1, c_l, s9)), introduced(assumption)).
% 78.27/50.59 tff(8760,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s10)), introduced(assumption)).
% 78.27/50.59 tff(8761,assumption,(node21(c_e_h_1, c_l, s9, s10)), introduced(assumption)).
% 78.27/50.59 tff(8762,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8763,plain,
% 78.27/50.59 ((node20(c_e_h_1, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node21(c_e_h_1, c_l, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8764,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node21(c_e_h_1, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10))))),
% 78.27/50.59 inference(monotonicity,[status(thm)],[8763])).
% 78.27/50.59 tff(8765,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node21(c_e_h_1, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10)))),
% 78.27/50.59 inference(transitivity,[status(thm)],[8764, 8762])).
% 78.27/50.59 tff(8766,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node21(c_e_h_1, c_l, s9, s10)))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8767,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9) | (~node21(c_e_h_1, c_l, s9, s10))),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 78.27/50.59 tff(8768,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8767, 348, 8761, 8760, 8759])).
% 78.27/50.59 tff(8769,plain,((~node21(c_e_h_1, c_l, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8770,plain,
% 78.27/50.59 (~node21(c_e_h_1, c_l, s9, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8769, 8760, 8759])).
% 78.27/50.59 tff(8771,assumption,(node22(c_e_h_1, c_l, s9, s10)), introduced(assumption)).
% 78.27/50.59 tff(8772,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node22(c_e_h_1, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node22(c_e_h_1, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8773,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node22(c_e_h_1, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8774,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | (~node22(c_e_h_1, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 78.27/50.59 tff(8775,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8774, 437, 8771, 8760, 6012])).
% 78.27/50.59 tff(8776,plain,((~node22(c_e_h_1, c_l, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8777,plain,
% 78.27/50.59 (~node22(c_e_h_1, c_l, s9, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8776, 8760, 6012])).
% 78.27/50.59 tff(8778,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_l, s9, s10) | node22(c_e_h_1, c_l, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_l, s9, s10) | node22(c_e_h_1, c_l, s9, s10))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8779,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_l, s9, s10) | node22(c_e_h_1, c_l, s9, s10))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8780,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_l, s9, s10) | node22(c_e_h_1, c_l, s9, s10)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8779, 8778])).
% 78.27/50.59 tff(8781,plain,
% 78.27/50.59 (node21(c_e_h_1, c_l, s9, s10) | node22(c_e_h_1, c_l, s9, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8780, 383, 6039])).
% 78.27/50.59 tff(8782,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8781, 8777, 8770])).
% 78.27/50.59 tff(8783,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s9) | node20(c_e_h_1, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8784,plain,
% 78.27/50.59 ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | node20(c_e_h_1, c_l, s9)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8783, 6010])).
% 78.27/50.59 tff(8785,plain,
% 78.27/50.59 (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8784, 8758])).
% 78.27/50.59 tff(8786,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s10)), introduced(assumption)).
% 78.27/50.59 tff(8787,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s10)), introduced(assumption)).
% 78.27/50.59 tff(8788,plain,
% 78.27/50.59 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8789,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8790,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 78.27/50.59 tff(8791,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8790, 1835, 8787, 8786])).
% 78.27/50.59 tff(8792,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8793,plain,
% 78.27/50.59 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8792, 8785])).
% 78.27/50.59 tff(8794,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)), introduced(assumption)).
% 78.27/50.59 tff(8795,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)), introduced(assumption)).
% 78.27/50.59 tff(8796,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s11)), introduced(assumption)).
% 78.27/50.59 tff(8797,assumption,(node6(c_e_h_1, c_j, s10, s11)), introduced(assumption)).
% 78.27/50.59 tff(8798,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8799,plain,
% 78.27/50.59 (((~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8800,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11))))),
% 78.27/50.59 inference(monotonicity,[status(thm)],[8799])).
% 78.27/50.59 tff(8801,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 78.27/50.59 inference(transitivity,[status(thm)],[8800, 8798])).
% 78.27/50.59 tff(8802,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8803,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s10, s11))),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8802, 8801])).
% 78.27/50.59 tff(8804,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8803, 1851, 8797, 8796, 6060])).
% 78.27/50.59 tff(8805,plain,((~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8806,plain,
% 78.27/50.59 (~node6(c_e_h_1, c_j, s10, s11)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8805, 8796, 6060])).
% 78.27/50.59 tff(8807,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8808,plain,
% 78.27/50.59 ((node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11) | (~trans(s10, s11))) <=> ((~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8809,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11)))),
% 78.27/50.59 inference(monotonicity,[status(thm)],[8808])).
% 78.27/50.59 tff(8810,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11))),
% 78.27/50.59 inference(transitivity,[status(thm)],[8809, 8807])).
% 78.27/50.59 tff(8811,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11) | (~trans(s10, s11)))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8812,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8811, 8810])).
% 78.27/50.59 tff(8813,plain,
% 78.27/50.59 (node6(c_e_h_1, c_j, s10, s11) | node5(c_e_h_1, c_j, s10, s11)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8812, 1870, 8015])).
% 78.27/50.59 tff(8814,plain,
% 78.27/50.59 (node5(c_e_h_1, c_j, s10, s11)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8813, 8806])).
% 78.27/50.59 tff(8815,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8816,plain,
% 78.27/50.59 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8817,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))))),
% 78.27/50.59 inference(monotonicity,[status(thm)],[8816])).
% 78.27/50.59 tff(8818,plain,
% 78.27/50.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 78.27/50.59 inference(transitivity,[status(thm)],[8817, 8815])).
% 78.27/50.59 tff(8819,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8820,plain,
% 78.27/50.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8819, 8818])).
% 78.27/50.59 tff(8821,plain,
% 78.27/50.59 ($false),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8820, 1888, 8814, 8796, 8795, 8794])).
% 78.27/50.59 tff(8822,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.59 tff(8823,plain,
% 78.27/50.59 ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8822, 8793])).
% 78.27/50.59 tff(8824,plain,
% 78.27/50.59 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 78.27/50.59 inference(unit_resolution,[status(thm)],[8823, 6058, 8617])).
% 78.27/50.59 tff(8825,assumption,(m_c_h_element_v_in2(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.27/50.59 tff(8826,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s11)), introduced(assumption)).
% 78.27/50.59 tff(8827,plain,
% 78.27/50.59 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 78.27/50.59 inference(rewrite,[status(thm)],[])).
% 78.27/50.59 tff(8828,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 78.27/50.59 inference(quant_inst,[status(thm)],[])).
% 78.27/50.59 tff(8829,plain,
% 78.27/50.59 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 78.27/50.59 inference(modus_ponens,[status(thm)],[8828, 8827])).
% 78.27/50.60 tff(8830,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8829, 1740, 8826, 8825])).
% 78.27/50.60 tff(8831,plain,((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8832,plain,
% 78.27/50.60 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8831, 8824])).
% 78.27/50.60 tff(8833,plain,
% 78.27/50.60 (~node20(c_e_h_1, c_i, s10)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8398, 22, 8079])).
% 78.27/50.60 tff(8834,plain,
% 78.27/50.60 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8394, 8833, 7993])).
% 78.27/50.60 tff(8835,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s13)), introduced(assumption)).
% 78.27/50.60 tff(8836,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.27/50.60 tff(8837,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s12)), introduced(assumption)).
% 78.27/50.60 tff(8838,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.27/50.60 tff(8839,assumption,(~node14(c_e_h_1, c_h, s11, s12)), introduced(assumption)).
% 78.27/50.60 tff(8840,assumption,(node15(c_e_h_1, c_h, s11, s12)), introduced(assumption)).
% 78.27/50.60 tff(8841,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node15(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node15(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8842,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node15(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8843,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node15(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 78.27/50.60 tff(8844,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8843, 612, 8837, 8840, 8169])).
% 78.27/50.60 tff(8845,plain,((~node15(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8846,plain,
% 78.27/50.60 (~node15(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8845, 8169, 8837])).
% 78.27/50.60 tff(8847,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_h, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8848,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8849,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 78.27/50.60 tff(8850,plain,
% 78.27/50.60 (node19(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8849, 494, 8210])).
% 78.27/50.60 tff(8851,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | node15(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | node15(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8852,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | node15(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8853,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | node15(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 78.27/50.60 tff(8854,plain,
% 78.27/50.60 (node16(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | node15(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8853, 594, 8850])).
% 78.27/50.60 tff(8855,plain,
% 78.27/50.60 (node16(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8854, 8846, 8839])).
% 78.27/50.60 tff(8856,assumption,(node18(c_e_h_1, c_h, s11, s12)), introduced(assumption)).
% 78.27/50.60 tff(8857,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8858,plain,
% 78.27/50.60 (((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s11, s12))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8859,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12))))),
% 78.27/50.60 inference(monotonicity,[status(thm)],[8858])).
% 78.27/50.60 tff(8860,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(transitivity,[status(thm)],[8859, 8857])).
% 78.27/50.60 tff(8861,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8862,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node18(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 78.27/50.60 tff(8863,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8862, 481, 8837, 8856, 8169])).
% 78.27/50.60 tff(8864,plain,((~node18(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8865,plain,
% 78.27/50.60 (~node18(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8864, 8169, 8837])).
% 78.27/50.60 tff(8866,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s11) | node18(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s11) | node18(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8867,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s11) | node18(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8868,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s11) | node18(c_e_h_1, c_h, s11, s12) | (~node19(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 78.27/50.60 tff(8869,plain,
% 78.27/50.60 (node17(c_e_h_1, c_h, s11) | node18(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8868, 508, 8850])).
% 78.27/50.60 tff(8870,plain,
% 78.27/50.60 (node17(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8869, 8865])).
% 78.27/50.60 tff(8871,assumption,(node17(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.27/50.60 tff(8872,assumption,(node16(c_e_h_1, c_h, s11)), introduced(assumption)).
% 78.27/50.60 tff(8873,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8874,plain,
% 78.27/50.60 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8875,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))))),
% 78.27/50.60 inference(monotonicity,[status(thm)],[8874])).
% 78.27/50.60 tff(8876,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(transitivity,[status(thm)],[8875, 8873])).
% 78.27/50.60 tff(8877,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8878,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8877, 8876])).
% 78.27/50.60 tff(8879,plain,
% 78.27/50.60 (m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8878, 541, 8871])).
% 78.27/50.60 tff(8880,plain,
% 78.27/50.60 (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8879, 8836])).
% 78.27/50.60 tff(8881,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8882,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8883,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 78.27/50.60 tff(8884,plain,
% 78.27/50.60 (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8883, 559, 8872])).
% 78.27/50.60 tff(8885,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8884, 8880, 8836])).
% 78.27/50.60 tff(8886,plain,(m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~node16(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8887,plain,
% 78.27/50.60 (m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8886, 8872, 8871])).
% 78.27/50.60 tff(8888,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8889,plain,
% 78.27/50.60 ((m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8890,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11))))),
% 78.27/50.60 inference(monotonicity,[status(thm)],[8889])).
% 78.27/50.60 tff(8891,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(transitivity,[status(thm)],[8890, 8888])).
% 78.27/50.60 tff(8892,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8893,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~node17(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 78.27/50.60 tff(8894,plain,
% 78.27/50.60 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8893, 1172, 8871])).
% 78.27/50.60 tff(8895,plain,
% 78.27/50.60 (m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8894, 8887])).
% 78.27/50.60 tff(8896,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8897,plain,
% 78.27/50.60 (((~node16(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8898,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11))))),
% 78.27/50.60 inference(monotonicity,[status(thm)],[8897])).
% 78.27/50.60 tff(8899,plain,
% 78.27/50.60 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(transitivity,[status(thm)],[8898, 8896])).
% 78.27/50.60 tff(8900,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8901,plain,
% 78.27/50.60 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node16(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 78.27/50.60 tff(8902,plain,
% 78.27/50.60 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8901, 1192, 8872])).
% 78.27/50.60 tff(8903,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8902, 8895, 8887])).
% 78.27/50.60 tff(8904,plain,((~node16(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8905,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8904, 8870, 8855])).
% 78.27/50.60 tff(8906,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s11) | node14(c_e_h_1, c_h, s11, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8907,plain,
% 78.27/50.60 (node14(c_e_h_1, c_h, s11, s12)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8906, 8837, 8169])).
% 78.27/50.60 tff(8908,assumption,(node14(c_e_h_1, c_h, s11, s12)), introduced(assumption)).
% 78.27/50.60 tff(8909,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8910,plain,
% 78.27/50.60 (((~node14(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(rewrite,[status(thm)],[])).
% 78.27/50.60 tff(8911,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12))))),
% 78.27/50.60 inference(monotonicity,[status(thm)],[8910])).
% 78.27/50.60 tff(8912,plain,
% 78.27/50.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 78.27/50.60 inference(transitivity,[status(thm)],[8911, 8909])).
% 78.27/50.60 tff(8913,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)))),
% 78.27/50.60 inference(quant_inst,[status(thm)],[])).
% 78.27/50.60 tff(8914,plain,
% 78.27/50.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | (~node14(c_e_h_1, c_h, s11, s12))),
% 78.27/50.60 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 78.27/50.60 tff(8915,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8914, 575, 8837, 8908, 8838])).
% 78.27/50.60 tff(8916,plain,((~node14(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8917,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8916, 8907, 8837, 8838])).
% 78.27/50.60 tff(8918,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.60 tff(8919,plain,
% 78.27/50.60 (m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8918, 8169, 8837])).
% 78.27/50.60 tff(8920,plain,
% 78.27/50.60 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | (~node17(c_e_h_1, c_h, s11))),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8878, 541, 8836])).
% 78.27/50.60 tff(8921,plain,
% 78.27/50.60 ($false),
% 78.27/50.60 inference(unit_resolution,[status(thm)],[8920, 8870, 8919])).
% 78.27/50.60 tff(8922,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8923,plain,
% 78.27/50.61 (~m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8922, 8167, 8836])).
% 78.27/50.61 tff(8924,plain,
% 78.27/50.61 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8925,plain,
% 78.27/50.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8926,plain,
% 78.27/50.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 78.27/50.61 tff(8927,plain,
% 78.27/50.61 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8926, 8, 8923])).
% 78.27/50.61 tff(8928,plain,
% 78.27/50.61 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8929,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8930,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 78.27/50.61 tff(8931,plain,
% 78.27/50.61 (~node20(c_e_h_1, c_i, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8930, 22, 8927])).
% 78.27/50.61 tff(8932,assumption,(~node20(c_e_h_1, c_i, s12)), introduced(assumption)).
% 78.27/50.61 tff(8933,assumption,(node21(c_e_h_1, c_i, s12, s13)), introduced(assumption)).
% 78.27/50.61 tff(8934,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8935,plain,
% 78.27/50.61 ((node20(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node21(c_e_h_1, c_i, s12, s13))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8936,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node21(c_e_h_1, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13))))),
% 78.27/50.61 inference(monotonicity,[status(thm)],[8935])).
% 78.27/50.61 tff(8937,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node21(c_e_h_1, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 78.27/50.61 inference(transitivity,[status(thm)],[8936, 8934])).
% 78.27/50.61 tff(8938,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8939,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s12, s13))),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 78.27/50.61 tff(8940,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8939, 348, 8835, 8933, 8932])).
% 78.27/50.61 tff(8941,plain,((~node21(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | node20(c_e_h_1, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8942,plain,
% 78.27/50.61 (~node21(c_e_h_1, c_i, s12, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8941, 8835, 8932])).
% 78.27/50.61 tff(8943,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_i, s12, s13) | node22(c_e_h_1, c_i, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_i, s12, s13) | node22(c_e_h_1, c_i, s12, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8944,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_i, s12, s13) | node22(c_e_h_1, c_i, s12, s13))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8945,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_i, s12, s13) | node22(c_e_h_1, c_i, s12, s13)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 78.27/50.61 tff(8946,plain,
% 78.27/50.61 (node21(c_e_h_1, c_i, s12, s13) | node22(c_e_h_1, c_i, s12, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8945, 383, 8278])).
% 78.27/50.61 tff(8947,plain,
% 78.27/50.61 (node22(c_e_h_1, c_i, s12, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8946, 8942])).
% 78.27/50.61 tff(8948,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node22(c_e_h_1, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node22(c_e_h_1, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8949,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node22(c_e_h_1, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8950,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | (~node22(c_e_h_1, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 78.27/50.61 tff(8951,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8950, 437, 8343, 8835, 8947])).
% 78.27/50.61 tff(8952,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | node20(c_e_h_1, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8953,plain,
% 78.27/50.61 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8952, 8931, 8835])).
% 78.27/50.61 tff(8954,plain,
% 78.27/50.61 (~node22(c_e_h_1, c_i, s11, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8356, 8350, 8184])).
% 78.27/50.61 tff(8955,plain,
% 78.27/50.61 (~node21(c_e_h_1, c_i, s11, s12)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8364, 8350, 8358])).
% 78.27/50.61 tff(8956,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8369, 8955, 8954])).
% 78.27/50.61 tff(8957,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | node20(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8958,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8957, 8953, 8834, 8183])).
% 78.27/50.61 tff(8959,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8960,plain,
% 78.27/50.61 ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8959, 7991, 6588])).
% 78.27/50.61 tff(8961,plain,
% 78.27/50.61 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8960, 8832, 6066])).
% 78.27/50.61 tff(8962,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s13)), introduced(assumption)).
% 78.27/50.61 tff(8963,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.61 tff(8964,plain,
% 78.27/50.61 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8965,plain,
% 78.27/50.61 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8966,plain,
% 78.27/50.61 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 78.27/50.61 tff(8967,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8966, 4785, 8963, 8962])).
% 78.27/50.61 tff(8968,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8969,plain,
% 78.27/50.61 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8968, 8961])).
% 78.27/50.61 tff(8970,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s14)), introduced(assumption)).
% 78.27/50.61 tff(8971,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.61 tff(8972,assumption,(node18(c_e_h_1, c_e, s13, s14)), introduced(assumption)).
% 78.27/50.61 tff(8973,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node18(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node18(c_e_h_1, c_e, s13, s14)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8974,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node18(c_e_h_1, c_e, s13, s14)))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8975,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node18(c_e_h_1, c_e, s13, s14))),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8974, 8973])).
% 78.27/50.61 tff(8976,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8975, 481, 8970, 8972, 8971])).
% 78.27/50.61 tff(8977,plain,((~node18(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(8978,plain,
% 78.27/50.61 (~node18(c_e_h_1, c_e, s13, s14)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8977, 8971, 8970])).
% 78.27/50.61 tff(8979,plain,
% 78.27/50.61 (succ(s13, s14) <=> succ(s13, s14)),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8980,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 78.27/50.61 tff(8981,plain,
% 78.27/50.61 (succ(s13, s14)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 78.27/50.61 tff(8982,plain,
% 78.27/50.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8983,plain,
% 78.27/50.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8984,plain,
% 78.27/50.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 78.27/50.61 tff(8985,plain,
% 78.27/50.61 (trans(s13, s14)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8984, 8981, 176])).
% 78.27/50.61 tff(8986,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_e, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_e, s13, s14))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8987,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_e, s13, s14))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8988,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_e, s13, s14)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8987, 8986])).
% 78.27/50.61 tff(8989,plain,
% 78.27/50.61 (node19(c_e_h_1, c_e, s13, s14)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8988, 494, 8985])).
% 78.27/50.61 tff(8990,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8991,plain,
% 78.27/50.61 ((node17(c_e_h_1, c_e, s13) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14))) <=> (node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(8992,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s13) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(monotonicity,[status(thm)],[8991])).
% 78.27/50.61 tff(8993,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s13) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(transitivity,[status(thm)],[8992, 8990])).
% 78.27/50.61 tff(8994,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s13) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(8995,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node17(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 78.27/50.61 tff(8996,plain,
% 78.27/50.61 (node18(c_e_h_1, c_e, s13, s14) | node17(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8995, 508, 8989])).
% 78.27/50.61 tff(8997,plain,
% 78.27/50.61 (node17(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[8996, 8978])).
% 78.27/50.61 tff(8998,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.61 tff(8999,plain,
% 78.27/50.61 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(9000,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(9001,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 78.27/50.61 tff(9002,plain,
% 78.27/50.61 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9001, 541, 8998])).
% 78.27/50.61 tff(9003,plain,
% 78.27/50.61 (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9002, 8997])).
% 78.27/50.61 tff(9004,assumption,(node15(c_e_h_1, c_e, s13, s14)), introduced(assumption)).
% 78.27/50.61 tff(9005,plain,
% 78.27/50.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(9006,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(9007,plain,
% 78.27/50.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 78.27/50.61 tff(9008,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9007, 612, 8970, 9004, 8971])).
% 78.27/50.61 tff(9009,plain,((~node15(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(9010,plain,
% 78.27/50.61 (~node15(c_e_h_1, c_e, s13, s14)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9009, 8971, 8970])).
% 78.27/50.61 tff(9011,assumption,(node17(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.61 tff(9012,assumption,(node16(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.61 tff(9013,plain,
% 78.27/50.61 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9001, 541, 9011])).
% 78.27/50.61 tff(9014,plain,
% 78.27/50.61 (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9013, 8998])).
% 78.27/50.61 tff(9015,plain,
% 78.27/50.61 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(9016,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(9017,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 78.27/50.61 tff(9018,plain,
% 78.27/50.61 (m_c_h_element_v_in1(c_e_h_1, c_e, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9017, 559, 9012])).
% 78.27/50.61 tff(9019,plain,
% 78.27/50.61 ($false),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9018, 9014, 8998])).
% 78.27/50.61 tff(9020,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node16(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.61 tff(9021,plain,
% 78.27/50.61 (m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9020, 9012, 9011])).
% 78.27/50.61 tff(9022,plain,
% 78.27/50.61 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.61 tff(9023,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(quant_inst,[status(thm)],[])).
% 78.27/50.61 tff(9024,plain,
% 78.27/50.61 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 78.27/50.61 tff(9025,plain,
% 78.27/50.61 (m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13))),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9024, 1172, 9011])).
% 78.27/50.61 tff(9026,plain,
% 78.27/50.61 (m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 78.27/50.61 inference(unit_resolution,[status(thm)],[9025, 9021])).
% 78.27/50.61 tff(9027,plain,
% 78.27/50.61 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13)))),
% 78.27/50.61 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9028,plain,
% 78.27/50.62 (((~node16(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13)))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9029,plain,
% 78.27/50.62 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13))))),
% 78.27/50.62 inference(monotonicity,[status(thm)],[9028])).
% 78.27/50.62 tff(9030,plain,
% 78.27/50.62 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13)))),
% 78.27/50.62 inference(transitivity,[status(thm)],[9029, 9027])).
% 78.27/50.62 tff(9031,plain,
% 78.27/50.62 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9032,plain,
% 78.27/50.62 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)) | (~node16(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 78.27/50.62 tff(9033,plain,
% 78.27/50.62 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9032, 1192, 9012])).
% 78.27/50.62 tff(9034,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9033, 9026, 9021])).
% 78.27/50.62 tff(9035,plain,((~node16(c_e_h_1, c_e, s13)) | (~node17(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9036,plain,
% 78.27/50.62 (~node16(c_e_h_1, c_e, s13)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9035, 8997])).
% 78.27/50.62 tff(9037,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9038,plain,
% 78.27/50.62 ((node16(c_e_h_1, c_e, s13) | node14(c_e_h_1, c_e, s13, s14) | node15(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14))) <=> (node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9039,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s13) | node14(c_e_h_1, c_e, s13, s14) | node15(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13)))),
% 78.27/50.62 inference(monotonicity,[status(thm)],[9038])).
% 78.27/50.62 tff(9040,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s13) | node14(c_e_h_1, c_e, s13, s14) | node15(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(transitivity,[status(thm)],[9039, 9037])).
% 78.27/50.62 tff(9041,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s13) | node14(c_e_h_1, c_e, s13, s14) | node15(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9042,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_e, s13, s14) | (~node19(c_e_h_1, c_e, s13, s14)) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13)),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 78.27/50.62 tff(9043,plain,
% 78.27/50.62 (node14(c_e_h_1, c_e, s13, s14) | node15(c_e_h_1, c_e, s13, s14) | node16(c_e_h_1, c_e, s13)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9042, 594, 8989])).
% 78.27/50.62 tff(9044,plain,
% 78.27/50.62 (node14(c_e_h_1, c_e, s13, s14)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9043, 9036, 9010])).
% 78.27/50.62 tff(9045,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s13)), introduced(assumption)).
% 78.27/50.62 tff(9046,assumption,(node14(c_e_h_1, c_e, s13, s14)), introduced(assumption)).
% 78.27/50.62 tff(9047,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9048,plain,
% 78.27/50.62 (((~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9049,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13)))),
% 78.27/50.62 inference(monotonicity,[status(thm)],[9048])).
% 78.27/50.62 tff(9050,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 78.27/50.62 inference(transitivity,[status(thm)],[9049, 9047])).
% 78.27/50.62 tff(9051,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9052,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 78.27/50.62 tff(9053,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9052, 575, 8970, 9046, 9045])).
% 78.27/50.62 tff(9054,plain,((~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9055,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9054, 9044, 9003, 8970])).
% 78.27/50.62 tff(9056,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9057,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9056, 8969, 8402])).
% 78.27/50.62 tff(9058,plain,
% 78.27/50.62 ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8166, 6588])).
% 78.27/50.62 tff(9059,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9058, 6066])).
% 78.27/50.62 tff(9060,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8922, 8832, 9059])).
% 78.27/50.62 tff(9061,plain,
% 78.27/50.62 (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3363, 3064, 2964])).
% 78.27/50.62 tff(9062,plain,
% 78.27/50.62 (~m_cell_v_req(c_e_h_1, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3371, 9061])).
% 78.27/50.62 tff(9063,plain,
% 78.27/50.62 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3383, 9062])).
% 78.27/50.62 tff(9064,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)), introduced(assumption)).
% 78.27/50.62 tff(9065,plain,
% 78.27/50.62 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3284, 3279])).
% 78.27/50.62 tff(9066,plain,
% 78.27/50.62 (~node20(c_e_h_3, c_d, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3292, 9065])).
% 78.27/50.62 tff(9067,plain,
% 78.27/50.62 (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3315, 9066, 3234])).
% 78.27/50.62 tff(9068,plain,
% 78.27/50.62 (~node22(c_e_h_3, c_d, s6, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3323, 9067, 3233])).
% 78.27/50.62 tff(9069,plain,
% 78.27/50.62 (node21(c_e_h_3, c_d, s6, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3328, 9068])).
% 78.27/50.62 tff(9070,plain,
% 78.27/50.62 (node20(c_e_h_3, c_d, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3336, 9069, 3233])).
% 78.27/50.62 tff(9071,plain,
% 78.27/50.62 (m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3340, 22, 9070])).
% 78.27/50.62 tff(9072,plain,
% 78.27/50.62 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3409, 3279, 3385])).
% 78.27/50.62 tff(9073,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3413, 966, 9072, 9071])).
% 78.27/50.62 tff(9074,plain,(m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s5) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9075,plain,
% 78.27/50.62 (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9074, 3234, 3279, 3385])).
% 78.27/50.62 tff(9076,plain,
% 78.27/50.62 (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3423, 9075])).
% 78.27/50.62 tff(9077,plain,
% 78.27/50.62 (~m_c_h_element_v_in1(c_e_h_3, c_f, s5)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3430, 3234])).
% 78.27/50.62 tff(9078,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3525, 9077])).
% 78.27/50.62 tff(9079,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8406, 9078])).
% 78.27/50.62 tff(9080,plain,
% 78.27/50.62 (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3315, 3234, 9066])).
% 78.27/50.62 tff(9081,plain,
% 78.27/50.62 (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3538, 9080])).
% 78.27/50.62 tff(9082,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3628, 9081, 9078])).
% 78.27/50.62 tff(9083,plain,
% 78.27/50.62 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8478, 8414])).
% 78.27/50.62 tff(9084,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8483, 3632])).
% 78.27/50.62 tff(9085,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8541, 9084, 8414])).
% 78.27/50.62 tff(9086,plain,
% 78.27/50.62 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8545, 224, 9085])).
% 78.27/50.62 tff(9087,plain,
% 78.27/50.62 (~node9(c_e_h_3, c_n, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[8549, 238, 9086])).
% 78.27/50.62 tff(9088,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)), introduced(assumption)).
% 78.27/50.62 tff(9089,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)), introduced(assumption)).
% 78.27/50.62 tff(9090,plain,
% 78.27/50.62 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9091,plain,
% 78.27/50.62 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9092,plain,
% 78.27/50.62 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 78.27/50.62 tff(9093,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9092, 121, 8552, 9089])).
% 78.27/50.62 tff(9094,plain,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9095,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9094, 9083])).
% 78.27/50.62 tff(9096,plain,
% 78.27/50.62 (~m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[3687, 3632, 3631])).
% 78.27/50.62 tff(9097,plain,
% 78.27/50.62 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9098,plain,
% 78.27/50.62 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9099,plain,
% 78.27/50.62 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 78.27/50.62 tff(9100,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9099, 145])).
% 78.27/50.62 tff(9101,plain,
% 78.27/50.62 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9100, 9096])).
% 78.27/50.62 tff(9102,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)), introduced(assumption)).
% 78.27/50.62 tff(9103,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), introduced(assumption)).
% 78.27/50.62 tff(9104,assumption,(node11(c_e_h_3, c_m, s8, s9)), introduced(assumption)).
% 78.27/50.62 tff(9105,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9106,plain,
% 78.27/50.62 ((m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~node11(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))) <=> (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9107,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~node11(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9))))),
% 78.27/50.62 inference(monotonicity,[status(thm)],[9106])).
% 78.27/50.62 tff(9108,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~node11(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(transitivity,[status(thm)],[9107, 9105])).
% 78.27/50.62 tff(9109,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~node11(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9110,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | (~node11(c_e_h_3, c_m, s8, s9))),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9109, 9108])).
% 78.27/50.62 tff(9111,plain,
% 78.27/50.62 ($false),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9110, 208, 9103, 9088, 9104])).
% 78.27/50.62 tff(9112,plain,((~node11(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.62 tff(9113,plain,
% 78.27/50.62 (~node11(c_e_h_3, c_m, s8, s9)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9112, 9088, 9103])).
% 78.27/50.62 tff(9114,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_3, c_m, s8, s9) | node11(c_e_h_3, c_m, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_3, c_m, s8, s9) | node11(c_e_h_3, c_m, s8, s9))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9115,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_3, c_m, s8, s9) | node11(c_e_h_3, c_m, s8, s9))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9116,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_3, c_m, s8, s9) | node11(c_e_h_3, c_m, s8, s9)),
% 78.27/50.62 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 78.27/50.62 tff(9117,plain,
% 78.27/50.62 (node10(c_e_h_3, c_m, s8, s9) | node11(c_e_h_3, c_m, s8, s9)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9116, 193, 3713])).
% 78.27/50.62 tff(9118,plain,
% 78.27/50.62 (node10(c_e_h_3, c_m, s8, s9)),
% 78.27/50.62 inference(unit_resolution,[status(thm)],[9117, 9113])).
% 78.27/50.62 tff(9119,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)), introduced(assumption)).
% 78.27/50.62 tff(9120,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9121,plain,
% 78.27/50.62 (((~node10(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(rewrite,[status(thm)],[])).
% 78.27/50.62 tff(9122,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9))))),
% 78.27/50.62 inference(monotonicity,[status(thm)],[9121])).
% 78.27/50.62 tff(9123,plain,
% 78.27/50.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9)))),
% 78.27/50.62 inference(transitivity,[status(thm)],[9122, 9120])).
% 78.27/50.62 tff(9124,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))),
% 78.27/50.62 inference(quant_inst,[status(thm)],[])).
% 78.27/50.62 tff(9125,plain,
% 78.27/50.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~node10(c_e_h_3, c_m, s8, s9))),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 78.27/50.63 tff(9126,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9125, 160, 9119, 9088, 9118, 9102])).
% 78.27/50.63 tff(9127,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9128,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9127, 9101, 9085, 9095, 9088])).
% 78.27/50.63 tff(9129,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s7) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9130,plain,
% 78.27/50.63 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9129, 3632, 3631, 8414])).
% 78.27/50.63 tff(9131,plain,
% 78.27/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9132,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9133,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_n, X)) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 78.27/50.63 tff(9134,plain,
% 78.27/50.63 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9133, 224, 9130])).
% 78.27/50.63 tff(9135,plain,
% 78.27/50.63 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9136,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_3, c_n, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9137,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_3, c_n, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 78.27/50.63 tff(9138,plain,
% 78.27/50.63 (~node9(c_e_h_3, c_n, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9137, 238, 9134])).
% 78.27/50.63 tff(9139,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)), introduced(assumption)).
% 78.27/50.63 tff(9140,assumption,(node11(c_e_h_3, c_n, s9, s10)), introduced(assumption)).
% 78.27/50.63 tff(9141,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node11(c_e_h_3, c_n, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node11(c_e_h_3, c_n, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9142,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node11(c_e_h_3, c_n, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9143,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node11(c_e_h_3, c_n, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9142, 9141])).
% 78.27/50.63 tff(9144,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9143, 282, 9064, 9140, 9139])).
% 78.27/50.63 tff(9145,plain,((~node11(c_e_h_3, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9146,plain,
% 78.27/50.63 (~node11(c_e_h_3, c_n, s9, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9145, 9064, 9139])).
% 78.27/50.63 tff(9147,assumption,(~node9(c_e_h_3, c_n, s9)), introduced(assumption)).
% 78.27/50.63 tff(9148,assumption,(node10(c_e_h_3, c_n, s9, s10)), introduced(assumption)).
% 78.27/50.63 tff(9149,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node10(c_e_h_3, c_n, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node10(c_e_h_3, c_n, s9, s10)))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9150,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node10(c_e_h_3, c_n, s9, s10)))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9151,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~node10(c_e_h_3, c_n, s9, s10))),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 78.27/50.63 tff(9152,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9151, 252, 9064, 9148, 9147])).
% 78.27/50.63 tff(9153,plain,((~node10(c_e_h_3, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | node9(c_e_h_3, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9154,plain,
% 78.27/50.63 (~node10(c_e_h_3, c_n, s9, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9153, 9064, 9147])).
% 78.27/50.63 tff(9155,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_3, c_n, s9, s10) | node11(c_e_h_3, c_n, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_3, c_n, s9, s10) | node11(c_e_h_3, c_n, s9, s10))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9156,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_3, c_n, s9, s10) | node11(c_e_h_3, c_n, s9, s10))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9157,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_3, c_n, s9, s10) | node11(c_e_h_3, c_n, s9, s10)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 78.27/50.63 tff(9158,plain,
% 78.27/50.63 (node10(c_e_h_3, c_n, s9, s10) | node11(c_e_h_3, c_n, s9, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9157, 193, 6039])).
% 78.27/50.63 tff(9159,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9158, 9154, 9146])).
% 78.27/50.63 tff(9160,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | node9(c_e_h_3, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9161,plain,
% 78.27/50.63 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9160, 9138, 9064])).
% 78.27/50.63 tff(9162,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[8570, 9161, 9087, 9083])).
% 78.27/50.63 tff(9163,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9164,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9163, 9082, 9079, 9076, 9064])).
% 78.27/50.63 tff(9165,plain,(m_and_h_gate_v_out(c_e_h_3, c_d, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9166,plain,
% 78.27/50.63 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9165, 3529, 3232, 9063])).
% 78.27/50.63 tff(9167,plain,
% 78.27/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9168,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9169,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_q, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 78.27/50.63 tff(9170,plain,
% 78.27/50.63 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9169, 320, 9166])).
% 78.27/50.63 tff(9171,plain,
% 78.27/50.63 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s10)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s10)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s10))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9172,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s10)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s10))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9173,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_q, s10)) | m_and_h_gate_v_in2(c_e_h_3, c_q, s10)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9172, 9171])).
% 78.27/50.63 tff(9174,plain,
% 78.27/50.63 (~node20(c_e_h_3, c_q, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9173, 334, 9170])).
% 78.27/50.63 tff(9175,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s11)), introduced(assumption)).
% 78.27/50.63 tff(9176,assumption,(~node20(c_e_h_3, c_q, s10)), introduced(assumption)).
% 78.27/50.63 tff(9177,assumption,(node21(c_e_h_3, c_q, s10, s11)), introduced(assumption)).
% 78.27/50.63 tff(9178,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node21(c_e_h_3, c_q, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node21(c_e_h_3, c_q, s10, s11)))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9179,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node21(c_e_h_3, c_q, s10, s11)))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9180,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node21(c_e_h_3, c_q, s10, s11))),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 78.27/50.63 tff(9181,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9180, 348, 9177, 9175, 9176])).
% 78.27/50.63 tff(9182,plain,((~node21(c_e_h_3, c_q, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | node20(c_e_h_3, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9183,plain,
% 78.27/50.63 (~node21(c_e_h_3, c_q, s10, s11)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9182, 9175, 9176])).
% 78.27/50.63 tff(9184,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_3, c_q, s10, s11) | node22(c_e_h_3, c_q, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_3, c_q, s10, s11) | node22(c_e_h_3, c_q, s10, s11))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9185,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_3, c_q, s10, s11) | node22(c_e_h_3, c_q, s10, s11))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9186,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_3, c_q, s10, s11) | node22(c_e_h_3, c_q, s10, s11)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 78.27/50.63 tff(9187,plain,
% 78.27/50.63 (node21(c_e_h_3, c_q, s10, s11) | node22(c_e_h_3, c_q, s10, s11)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9186, 383, 8015])).
% 78.27/50.63 tff(9188,plain,
% 78.27/50.63 (node22(c_e_h_3, c_q, s10, s11)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9187, 9183])).
% 78.27/50.63 tff(9189,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s10)), introduced(assumption)).
% 78.27/50.63 tff(9190,plain,
% 78.27/50.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node22(c_e_h_3, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node22(c_e_h_3, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9191,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node22(c_e_h_3, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9192,plain,
% 78.27/50.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | (~node22(c_e_h_3, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 78.27/50.63 tff(9193,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9192, 437, 9189, 9188, 9175])).
% 78.27/50.63 tff(9194,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10) | node20(c_e_h_3, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9195,plain,
% 78.27/50.63 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9194, 9174])).
% 78.27/50.63 tff(9196,plain,
% 78.27/50.63 (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9195, 8604])).
% 78.27/50.63 tff(9197,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.27/50.63 tff(9198,plain,
% 78.27/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9199,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9200,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 78.27/50.63 tff(9201,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9200, 7347, 8744, 9197])).
% 78.27/50.63 tff(9202,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9203,plain,
% 78.27/50.63 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9202, 8742])).
% 78.27/50.63 tff(9204,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.27/50.63 tff(9205,assumption,(node20(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.27/50.63 tff(9206,plain,
% 78.27/50.63 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s9))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9207,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s9))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9208,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9207, 9206])).
% 78.27/50.63 tff(9209,plain,
% 78.27/50.63 ($false),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9208, 334, 9205, 9204])).
% 78.27/50.63 tff(9210,plain,((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.27/50.63 tff(9211,plain,
% 78.27/50.63 (~node20(c_e_h_1, c_r, s9)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9210, 9203])).
% 78.27/50.63 tff(9212,plain,
% 78.27/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9213,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9214,plain,
% 78.27/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 78.27/50.63 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 78.27/50.63 tff(9215,plain,
% 78.27/50.63 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s8)),
% 78.27/50.63 inference(unit_resolution,[status(thm)],[9214, 7347, 5978])).
% 78.27/50.63 tff(9216,plain,
% 78.27/50.63 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s8))),
% 78.27/50.63 inference(rewrite,[status(thm)],[])).
% 78.27/50.63 tff(9217,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s8))),
% 78.27/50.63 inference(quant_inst,[status(thm)],[])).
% 78.27/50.63 tff(9218,plain,
% 78.27/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s8)),
% 78.37/50.63 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 78.37/50.63 tff(9219,plain,
% 78.37/50.63 (~node20(c_e_h_1, c_r, s8)),
% 78.37/50.63 inference(unit_resolution,[status(thm)],[9218, 334, 9215])).
% 78.37/50.63 tff(9220,plain,
% 78.37/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 78.37/50.63 inference(rewrite,[status(thm)],[])).
% 78.37/50.63 tff(9221,plain,
% 78.37/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7))),
% 78.37/50.63 inference(quant_inst,[status(thm)],[])).
% 78.37/50.63 tff(9222,plain,
% 78.37/50.63 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 78.37/50.63 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 78.37/50.63 tff(9223,plain,
% 78.37/50.63 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s7)),
% 78.37/50.63 inference(unit_resolution,[status(thm)],[9222, 7347, 5623])).
% 78.37/50.63 tff(9224,plain,
% 78.37/50.63 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s7))),
% 78.37/50.63 inference(rewrite,[status(thm)],[])).
% 78.37/50.63 tff(9225,plain,
% 78.37/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s7))),
% 78.37/50.63 inference(quant_inst,[status(thm)],[])).
% 78.37/50.63 tff(9226,plain,
% 78.37/50.63 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s7)),
% 78.37/50.63 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 78.37/50.63 tff(9227,plain,
% 78.37/50.63 (~node20(c_e_h_1, c_r, s7)),
% 78.37/50.63 inference(unit_resolution,[status(thm)],[9226, 334, 9223])).
% 78.37/50.63 tff(9228,plain,
% 78.37/50.63 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X)) <=> ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X)))),
% 78.37/50.63 inference(bind,[status(th)],[])).
% 78.37/50.63 tff(9229,plain,
% 78.37/50.63 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))),
% 78.37/50.63 inference(quant_intro,[status(thm)],[9228])).
% 78.37/50.63 tff(9230,plain,
% 78.37/50.63 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))),
% 78.37/50.63 inference(rewrite,[status(thm)],[])).
% 78.37/50.63 tff(9231,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_72')).
% 78.37/50.63 tff(9232,plain,
% 78.37/50.63 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))),
% 78.37/50.63 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 78.37/50.63 tff(9233,plain,(
% 78.37/50.63 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))),
% 78.37/50.63 inference(skolemize,[status(sab)],[9232])).
% 78.37/50.63 tff(9234,plain,
% 78.37/50.63 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))),
% 78.37/50.63 inference(modus_ponens,[status(thm)],[9233, 9229])).
% 78.37/50.63 tff(9235,plain,
% 78.37/50.63 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9236,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s5))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9237,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)) | m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 78.37/50.64 tff(9238,plain,
% 78.37/50.64 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9237, 9234, 5815])).
% 78.37/50.64 tff(9239,plain,
% 78.37/50.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s5))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9240,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s5))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9241,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s5)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 78.37/50.64 tff(9242,plain,
% 78.37/50.64 (~node20(c_e_h_1, c_r, s5)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9241, 22, 9238])).
% 78.37/50.64 tff(9243,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s3)), introduced(assumption)).
% 78.37/50.64 tff(9244,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s2)), introduced(assumption)).
% 78.37/50.64 tff(9245,assumption,(node22(c_e_h_1, c_r, s1, s2)), introduced(assumption)).
% 78.37/50.64 tff(9246,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node22(c_e_h_1, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node22(c_e_h_1, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9247,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node22(c_e_h_1, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9248,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node22(c_e_h_1, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s1)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 78.37/50.64 tff(9249,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9248, 437, 9245, 7360, 9244])).
% 78.37/50.64 tff(9250,plain,((~node22(c_e_h_1, c_r, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9251,plain,
% 78.37/50.64 (~node22(c_e_h_1, c_r, s1, s2)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9250, 9244])).
% 78.37/50.64 tff(9252,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_r, s1, s2) | node22(c_e_h_1, c_r, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_r, s1, s2) | node22(c_e_h_1, c_r, s1, s2))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9253,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_1, c_r, s1, s2) | node22(c_e_h_1, c_r, s1, s2))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9254,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_1, c_r, s1, s2) | node22(c_e_h_1, c_r, s1, s2)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 78.37/50.64 tff(9255,plain,
% 78.37/50.64 (node21(c_e_h_1, c_r, s1, s2) | node22(c_e_h_1, c_r, s1, s2)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9254, 383, 265])).
% 78.37/50.64 tff(9256,plain,
% 78.37/50.64 (node21(c_e_h_1, c_r, s1, s2)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9255, 9251])).
% 78.37/50.64 tff(9257,plain,
% 78.37/50.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9258,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9259,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s1)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9258, 9257])).
% 78.37/50.64 tff(9260,plain,
% 78.37/50.64 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s1)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9259, 7347, 3910])).
% 78.37/50.64 tff(9261,plain,
% 78.37/50.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s1))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9262,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s1))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9263,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s1)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 78.37/50.64 tff(9264,plain,
% 78.37/50.64 (~node20(c_e_h_1, c_r, s1)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9263, 334, 9260])).
% 78.37/50.64 tff(9265,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node21(c_e_h_1, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node21(c_e_h_1, c_r, s1, s2)))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9266,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node21(c_e_h_1, c_r, s1, s2)))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9267,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s2)) | (~node21(c_e_h_1, c_r, s1, s2))),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 78.37/50.64 tff(9268,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9267, 348, 9264, 9256, 9244])).
% 78.37/50.64 tff(9269,plain,(~m_and_h_gate_v_out(c_e_h_1, c_r, s2)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9270,assumption,(node22(c_e_h_1, c_r, s2, s3)), introduced(assumption)).
% 78.37/50.64 tff(9271,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node22(c_e_h_1, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node22(c_e_h_1, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9272,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node22(c_e_h_1, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9273,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node22(c_e_h_1, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 78.37/50.64 tff(9274,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9273, 437, 9243, 9270, 9269])).
% 78.37/50.64 tff(9275,plain,((~node22(c_e_h_1, c_r, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9276,plain,
% 78.37/50.64 (~node22(c_e_h_1, c_r, s2, s3)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9275, 9243])).
% 78.37/50.64 tff(9277,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_r, s2, s3) | node22(c_e_h_1, c_r, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_r, s2, s3) | node22(c_e_h_1, c_r, s2, s3))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9278,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_1, c_r, s2, s3) | node22(c_e_h_1, c_r, s2, s3))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9279,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_1, c_r, s2, s3) | node22(c_e_h_1, c_r, s2, s3)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 78.37/50.64 tff(9280,plain,
% 78.37/50.64 (node21(c_e_h_1, c_r, s2, s3) | node22(c_e_h_1, c_r, s2, s3)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9279, 383, 463])).
% 78.37/50.64 tff(9281,plain,
% 78.37/50.64 (node21(c_e_h_1, c_r, s2, s3)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9280, 9276])).
% 78.37/50.64 tff(9282,plain,
% 78.37/50.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9283,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9284,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s2)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9283, 9282])).
% 78.37/50.64 tff(9285,plain,
% 78.37/50.64 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s2)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9284, 7347, 4015])).
% 78.37/50.64 tff(9286,plain,
% 78.37/50.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s2))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9287,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s2))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9288,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s2)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 78.37/50.64 tff(9289,plain,
% 78.37/50.64 (~node20(c_e_h_1, c_r, s2)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9288, 334, 9285])).
% 78.37/50.64 tff(9290,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3)))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9291,plain,
% 78.37/50.64 ((node20(c_e_h_1, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node21(c_e_h_1, c_r, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3)))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9292,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node21(c_e_h_1, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3))))),
% 78.37/50.64 inference(monotonicity,[status(thm)],[9291])).
% 78.37/50.64 tff(9293,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node21(c_e_h_1, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3)))),
% 78.37/50.64 inference(transitivity,[status(thm)],[9292, 9290])).
% 78.37/50.64 tff(9294,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | (~node21(c_e_h_1, c_r, s2, s3)))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9295,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)) | node20(c_e_h_1, c_r, s2) | (~node21(c_e_h_1, c_r, s2, s3))),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 78.37/50.64 tff(9296,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9295, 348, 9289, 9243, 9281])).
% 78.37/50.64 tff(9297,plain,(~m_and_h_gate_v_out(c_e_h_1, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9298,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s3)), introduced(assumption)).
% 78.37/50.64 tff(9299,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s4)), introduced(assumption)).
% 78.37/50.64 tff(9300,plain,
% 78.37/50.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9301,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9302,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s3)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9301, 9300])).
% 78.37/50.64 tff(9303,plain,
% 78.37/50.64 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s3)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9302, 7347, 4392])).
% 78.37/50.64 tff(9304,plain,
% 78.37/50.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s3))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9305,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s3))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9306,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s3)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 78.37/50.64 tff(9307,plain,
% 78.37/50.64 (~node20(c_e_h_1, c_r, s3)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9306, 334, 9303])).
% 78.37/50.64 tff(9308,assumption,(node21(c_e_h_1, c_r, s3, s4)), introduced(assumption)).
% 78.37/50.64 tff(9309,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node21(c_e_h_1, c_r, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node21(c_e_h_1, c_r, s3, s4)))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9310,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node21(c_e_h_1, c_r, s3, s4)))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9311,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node21(c_e_h_1, c_r, s3, s4))),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 78.37/50.64 tff(9312,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9311, 348, 9308, 9299, 9307])).
% 78.37/50.64 tff(9313,plain,((~node21(c_e_h_1, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9314,plain,
% 78.37/50.64 (~node21(c_e_h_1, c_r, s3, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9313, 9299])).
% 78.37/50.64 tff(9315,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_r, s3, s4) | node22(c_e_h_1, c_r, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_r, s3, s4) | node22(c_e_h_1, c_r, s3, s4))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9316,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_r, s3, s4) | node22(c_e_h_1, c_r, s3, s4))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9317,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_r, s3, s4) | node22(c_e_h_1, c_r, s3, s4)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 78.37/50.64 tff(9318,plain,
% 78.37/50.64 (node21(c_e_h_1, c_r, s3, s4) | node22(c_e_h_1, c_r, s3, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9317, 383, 711])).
% 78.37/50.64 tff(9319,plain,
% 78.37/50.64 (node22(c_e_h_1, c_r, s3, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9318, 9314])).
% 78.37/50.64 tff(9320,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node22(c_e_h_1, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node22(c_e_h_1, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9321,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node22(c_e_h_1, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9322,plain,
% 78.37/50.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | (~node22(c_e_h_1, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 78.37/50.64 tff(9323,plain,
% 78.37/50.64 ($false),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9322, 437, 9319, 9299, 9298])).
% 78.37/50.64 tff(9324,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.64 tff(9325,plain,
% 78.37/50.64 (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9324, 9297])).
% 78.37/50.64 tff(9326,plain,
% 78.37/50.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9327,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9328,plain,
% 78.37/50.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s4)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 78.37/50.64 tff(9329,plain,
% 78.37/50.64 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9328, 7347, 4591])).
% 78.37/50.64 tff(9330,plain,
% 78.37/50.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s4))),
% 78.37/50.64 inference(rewrite,[status(thm)],[])).
% 78.37/50.64 tff(9331,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s4))),
% 78.37/50.64 inference(quant_inst,[status(thm)],[])).
% 78.37/50.64 tff(9332,plain,
% 78.37/50.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s4)),
% 78.37/50.64 inference(modus_ponens,[status(thm)],[9331, 9330])).
% 78.37/50.64 tff(9333,plain,
% 78.37/50.64 (~node20(c_e_h_1, c_r, s4)),
% 78.37/50.64 inference(unit_resolution,[status(thm)],[9332, 334, 9329])).
% 78.37/50.64 tff(9334,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s5)), introduced(assumption)).
% 78.37/50.64 tff(9335,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s4)), introduced(assumption)).
% 78.37/50.64 tff(9336,assumption,(~node20(c_e_h_1, c_r, s4)), introduced(assumption)).
% 78.37/50.64 tff(9337,assumption,(node21(c_e_h_1, c_r, s4, s5)), introduced(assumption)).
% 78.37/50.64 tff(9338,plain,
% 78.37/50.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node21(c_e_h_1, c_r, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node21(c_e_h_1, c_r, s4, s5)))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9339,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node21(c_e_h_1, c_r, s4, s5)))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9340,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node21(c_e_h_1, c_r, s4, s5))),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 78.37/50.65 tff(9341,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9340, 348, 9337, 9336, 9334])).
% 78.37/50.65 tff(9342,plain,((~node21(c_e_h_1, c_r, s4, s5)) | node20(c_e_h_1, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9343,plain,
% 78.37/50.65 (~node21(c_e_h_1, c_r, s4, s5)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9342, 9334, 9336])).
% 78.37/50.65 tff(9344,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_r, s4, s5) | node22(c_e_h_1, c_r, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_r, s4, s5) | node22(c_e_h_1, c_r, s4, s5))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9345,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_r, s4, s5) | node22(c_e_h_1, c_r, s4, s5))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9346,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_r, s4, s5) | node22(c_e_h_1, c_r, s4, s5)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9345, 9344])).
% 78.37/50.65 tff(9347,plain,
% 78.37/50.65 (node21(c_e_h_1, c_r, s4, s5) | node22(c_e_h_1, c_r, s4, s5)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9346, 383, 930])).
% 78.37/50.65 tff(9348,plain,
% 78.37/50.65 (node22(c_e_h_1, c_r, s4, s5)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9347, 9343])).
% 78.37/50.65 tff(9349,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node22(c_e_h_1, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node22(c_e_h_1, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9350,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node22(c_e_h_1, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9351,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | (~node22(c_e_h_1, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 78.37/50.65 tff(9352,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9351, 437, 9348, 9335, 9334])).
% 78.37/50.65 tff(9353,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4) | node20(c_e_h_1, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9354,plain,
% 78.37/50.65 ((~m_and_h_gate_v_out(c_e_h_1, c_r, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9353, 9333])).
% 78.37/50.65 tff(9355,plain,
% 78.37/50.65 (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9354, 9325])).
% 78.37/50.65 tff(9356,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s6)), introduced(assumption)).
% 78.37/50.65 tff(9357,assumption,(~node20(c_e_h_1, c_r, s5)), introduced(assumption)).
% 78.37/50.65 tff(9358,assumption,(node21(c_e_h_1, c_r, s5, s6)), introduced(assumption)).
% 78.37/50.65 tff(9359,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node21(c_e_h_1, c_r, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node21(c_e_h_1, c_r, s5, s6)))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9360,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node21(c_e_h_1, c_r, s5, s6)))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9361,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node21(c_e_h_1, c_r, s5, s6))),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 78.37/50.65 tff(9362,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9361, 348, 9358, 9357, 9356])).
% 78.37/50.65 tff(9363,plain,((~node21(c_e_h_1, c_r, s5, s6)) | node20(c_e_h_1, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9364,plain,
% 78.37/50.65 (~node21(c_e_h_1, c_r, s5, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9363, 9356, 9357])).
% 78.37/50.65 tff(9365,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_r, s5, s6) | node22(c_e_h_1, c_r, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_r, s5, s6) | node22(c_e_h_1, c_r, s5, s6))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9366,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_r, s5, s6) | node22(c_e_h_1, c_r, s5, s6))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9367,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_r, s5, s6) | node22(c_e_h_1, c_r, s5, s6)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 78.37/50.65 tff(9368,plain,
% 78.37/50.65 (node21(c_e_h_1, c_r, s5, s6) | node22(c_e_h_1, c_r, s5, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9367, 383, 1343])).
% 78.37/50.65 tff(9369,plain,
% 78.37/50.65 (node22(c_e_h_1, c_r, s5, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9368, 9364])).
% 78.37/50.65 tff(9370,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s5)), introduced(assumption)).
% 78.37/50.65 tff(9371,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node22(c_e_h_1, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node22(c_e_h_1, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9372,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node22(c_e_h_1, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9373,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | (~node22(c_e_h_1, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 78.37/50.65 tff(9374,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9373, 437, 9370, 9369, 9356])).
% 78.37/50.65 tff(9375,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5) | node20(c_e_h_1, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9376,plain,
% 78.37/50.65 ((~m_and_h_gate_v_out(c_e_h_1, c_r, s6)) | node20(c_e_h_1, c_r, s5)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9375, 9355])).
% 78.37/50.65 tff(9377,plain,
% 78.37/50.65 (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9376, 9242])).
% 78.37/50.65 tff(9378,plain,
% 78.37/50.65 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9379,plain,
% 78.37/50.65 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9380,plain,
% 78.37/50.65 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9379, 9378])).
% 78.37/50.65 tff(9381,plain,
% 78.37/50.65 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9380, 7347, 5259])).
% 78.37/50.65 tff(9382,plain,
% 78.37/50.65 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s6))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9383,plain,
% 78.37/50.65 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s6))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9384,plain,
% 78.37/50.65 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s6)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 78.37/50.65 tff(9385,plain,
% 78.37/50.65 (~node20(c_e_h_1, c_r, s6)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9384, 334, 9381])).
% 78.37/50.65 tff(9386,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s7)), introduced(assumption)).
% 78.37/50.65 tff(9387,assumption,(~node20(c_e_h_1, c_r, s6)), introduced(assumption)).
% 78.37/50.65 tff(9388,assumption,(node21(c_e_h_1, c_r, s6, s7)), introduced(assumption)).
% 78.37/50.65 tff(9389,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7)))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9390,plain,
% 78.37/50.65 ((node20(c_e_h_1, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node21(c_e_h_1, c_r, s6, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7)))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9391,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node21(c_e_h_1, c_r, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7))))),
% 78.37/50.65 inference(monotonicity,[status(thm)],[9390])).
% 78.37/50.65 tff(9392,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node21(c_e_h_1, c_r, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7)))),
% 78.37/50.65 inference(transitivity,[status(thm)],[9391, 9389])).
% 78.37/50.65 tff(9393,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node21(c_e_h_1, c_r, s6, s7)))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9394,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6) | (~node21(c_e_h_1, c_r, s6, s7))),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 78.37/50.65 tff(9395,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9394, 348, 9388, 9386, 9387])).
% 78.37/50.65 tff(9396,plain,((~node21(c_e_h_1, c_r, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | node20(c_e_h_1, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9397,plain,
% 78.37/50.65 (~node21(c_e_h_1, c_r, s6, s7)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9396, 9386, 9387])).
% 78.37/50.65 tff(9398,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_r, s6, s7) | node22(c_e_h_1, c_r, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_r, s6, s7) | node22(c_e_h_1, c_r, s6, s7))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9399,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_r, s6, s7) | node22(c_e_h_1, c_r, s6, s7))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9400,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_r, s6, s7) | node22(c_e_h_1, c_r, s6, s7)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 78.37/50.65 tff(9401,plain,
% 78.37/50.65 (node21(c_e_h_1, c_r, s6, s7) | node22(c_e_h_1, c_r, s6, s7)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9400, 383, 1685])).
% 78.37/50.65 tff(9402,plain,
% 78.37/50.65 (node22(c_e_h_1, c_r, s6, s7)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9401, 9397])).
% 78.37/50.65 tff(9403,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s6)), introduced(assumption)).
% 78.37/50.65 tff(9404,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node22(c_e_h_1, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node22(c_e_h_1, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9405,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node22(c_e_h_1, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9406,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | (~node22(c_e_h_1, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9405, 9404])).
% 78.37/50.65 tff(9407,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9406, 437, 9403, 9402, 9386])).
% 78.37/50.65 tff(9408,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6) | node20(c_e_h_1, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9409,plain,
% 78.37/50.65 (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9408, 9385, 9377])).
% 78.37/50.65 tff(9410,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s7)), introduced(assumption)).
% 78.37/50.65 tff(9411,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s8)), introduced(assumption)).
% 78.37/50.65 tff(9412,assumption,(~node20(c_e_h_1, c_r, s7)), introduced(assumption)).
% 78.37/50.65 tff(9413,assumption,(node21(c_e_h_1, c_r, s7, s8)), introduced(assumption)).
% 78.37/50.65 tff(9414,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node21(c_e_h_1, c_r, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node21(c_e_h_1, c_r, s7, s8)))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9415,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node21(c_e_h_1, c_r, s7, s8)))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9416,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node21(c_e_h_1, c_r, s7, s8))),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9415, 9414])).
% 78.37/50.65 tff(9417,plain,
% 78.37/50.65 ($false),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9416, 348, 9413, 9412, 9411])).
% 78.37/50.65 tff(9418,plain,((~node21(c_e_h_1, c_r, s7, s8)) | node20(c_e_h_1, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.65 tff(9419,plain,
% 78.37/50.65 (~node21(c_e_h_1, c_r, s7, s8)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9418, 9411, 9412])).
% 78.37/50.65 tff(9420,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_r, s7, s8) | node22(c_e_h_1, c_r, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_r, s7, s8) | node22(c_e_h_1, c_r, s7, s8))),
% 78.37/50.65 inference(rewrite,[status(thm)],[])).
% 78.37/50.65 tff(9421,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_r, s7, s8) | node22(c_e_h_1, c_r, s7, s8))),
% 78.37/50.65 inference(quant_inst,[status(thm)],[])).
% 78.37/50.65 tff(9422,plain,
% 78.37/50.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_r, s7, s8) | node22(c_e_h_1, c_r, s7, s8)),
% 78.37/50.65 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 78.37/50.65 tff(9423,plain,
% 78.37/50.65 (node21(c_e_h_1, c_r, s7, s8) | node22(c_e_h_1, c_r, s7, s8)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9422, 383, 2456])).
% 78.37/50.65 tff(9424,plain,
% 78.37/50.65 (node22(c_e_h_1, c_r, s7, s8)),
% 78.37/50.65 inference(unit_resolution,[status(thm)],[9423, 9419])).
% 78.37/50.65 tff(9425,plain,
% 78.37/50.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node22(c_e_h_1, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node22(c_e_h_1, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9426,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node22(c_e_h_1, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9427,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | (~node22(c_e_h_1, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9426, 9425])).
% 78.37/50.66 tff(9428,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9427, 437, 9424, 9411, 9410])).
% 78.37/50.66 tff(9429,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7) | node20(c_e_h_1, c_r, s7)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9430,plain,
% 78.37/50.66 (~m_and_h_gate_v_out(c_e_h_1, c_r, s8)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9429, 9409, 9227])).
% 78.37/50.66 tff(9431,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s8)), introduced(assumption)).
% 78.37/50.66 tff(9432,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.37/50.66 tff(9433,assumption,(node22(c_e_h_1, c_r, s8, s9)), introduced(assumption)).
% 78.37/50.66 tff(9434,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node22(c_e_h_1, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node22(c_e_h_1, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9435,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node22(c_e_h_1, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9436,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node22(c_e_h_1, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 78.37/50.66 tff(9437,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9436, 437, 9432, 9433, 9431])).
% 78.37/50.66 tff(9438,plain,((~node22(c_e_h_1, c_r, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9439,plain,
% 78.37/50.66 (~node22(c_e_h_1, c_r, s8, s9)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9438, 9432, 9431])).
% 78.37/50.66 tff(9440,assumption,(~node20(c_e_h_1, c_r, s8)), introduced(assumption)).
% 78.37/50.66 tff(9441,assumption,(node21(c_e_h_1, c_r, s8, s9)), introduced(assumption)).
% 78.37/50.66 tff(9442,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9)))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9443,plain,
% 78.37/50.66 ((node20(c_e_h_1, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node21(c_e_h_1, c_r, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9)))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9444,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node21(c_e_h_1, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9))))),
% 78.37/50.66 inference(monotonicity,[status(thm)],[9443])).
% 78.37/50.66 tff(9445,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node21(c_e_h_1, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9)))),
% 78.37/50.66 inference(transitivity,[status(thm)],[9444, 9442])).
% 78.37/50.66 tff(9446,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | (~node21(c_e_h_1, c_r, s8, s9)))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9447,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | (~node21(c_e_h_1, c_r, s8, s9))),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 78.37/50.66 tff(9448,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9447, 348, 9432, 9441, 9440])).
% 78.37/50.66 tff(9449,plain,((~node21(c_e_h_1, c_r, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9450,plain,
% 78.37/50.66 (~node21(c_e_h_1, c_r, s8, s9)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9449, 9432, 9440])).
% 78.37/50.66 tff(9451,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_r, s8, s9) | node22(c_e_h_1, c_r, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_r, s8, s9) | node22(c_e_h_1, c_r, s8, s9))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9452,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_r, s8, s9) | node22(c_e_h_1, c_r, s8, s9))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9453,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_r, s8, s9) | node22(c_e_h_1, c_r, s8, s9)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 78.37/50.66 tff(9454,plain,
% 78.37/50.66 (node21(c_e_h_1, c_r, s8, s9) | node22(c_e_h_1, c_r, s8, s9)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9453, 383, 3713])).
% 78.37/50.66 tff(9455,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9454, 9450, 9439])).
% 78.37/50.66 tff(9456,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8) | m_and_h_gate_v_out(c_e_h_1, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9457,plain,
% 78.37/50.66 ((~m_and_h_gate_v_out(c_e_h_1, c_r, s9)) | node20(c_e_h_1, c_r, s8)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9456, 9430])).
% 78.37/50.66 tff(9458,plain,
% 78.37/50.66 (~m_and_h_gate_v_out(c_e_h_1, c_r, s9)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9457, 9219])).
% 78.37/50.66 tff(9459,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.37/50.66 tff(9460,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s10)), introduced(assumption)).
% 78.37/50.66 tff(9461,assumption,(node22(c_e_h_1, c_r, s9, s10)), introduced(assumption)).
% 78.37/50.66 tff(9462,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9463,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9464,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 78.37/50.66 tff(9465,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9464, 437, 9461, 9460, 9459])).
% 78.37/50.66 tff(9466,plain,((~node22(c_e_h_1, c_r, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9467,plain,
% 78.37/50.66 (~node22(c_e_h_1, c_r, s9, s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9466, 9460, 9459])).
% 78.37/50.66 tff(9468,assumption,(~node20(c_e_h_1, c_r, s9)), introduced(assumption)).
% 78.37/50.66 tff(9469,assumption,(node21(c_e_h_1, c_r, s9, s10)), introduced(assumption)).
% 78.37/50.66 tff(9470,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s9, s10)))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9471,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s9, s10)))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9472,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s9, s10))),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9471, 9470])).
% 78.37/50.66 tff(9473,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9472, 348, 9469, 9460, 9468])).
% 78.37/50.66 tff(9474,plain,((~node21(c_e_h_1, c_r, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | node20(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9475,plain,
% 78.37/50.66 (~node21(c_e_h_1, c_r, s9, s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9474, 9460, 9468])).
% 78.37/50.66 tff(9476,plain,
% 78.37/50.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_r, s9, s10) | node22(c_e_h_1, c_r, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_r, s9, s10) | node22(c_e_h_1, c_r, s9, s10))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9477,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_r, s9, s10) | node22(c_e_h_1, c_r, s9, s10))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9478,plain,
% 78.37/50.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_r, s9, s10) | node22(c_e_h_1, c_r, s9, s10)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 78.37/50.66 tff(9479,plain,
% 78.37/50.66 (node21(c_e_h_1, c_r, s9, s10) | node22(c_e_h_1, c_r, s9, s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9478, 383, 6039])).
% 78.37/50.66 tff(9480,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9479, 9475, 9467])).
% 78.37/50.66 tff(9481,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | node20(c_e_h_1, c_r, s9) | m_and_h_gate_v_out(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9482,plain,
% 78.37/50.66 ((~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | node20(c_e_h_1, c_r, s9)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9481, 9458])).
% 78.37/50.66 tff(9483,plain,
% 78.37/50.66 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9482, 9211])).
% 78.37/50.66 tff(9484,assumption,(m_user_v_ack(c_e_h_1, c_u, s10)), introduced(assumption)).
% 78.37/50.66 tff(9485,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s10)), introduced(assumption)).
% 78.37/50.66 tff(9486,plain,
% 78.37/50.66 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9487,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9488,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9487, 9486])).
% 78.37/50.66 tff(9489,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9488, 7367, 9485, 9484])).
% 78.37/50.66 tff(9490,plain,((~m_user_v_ack(c_e_h_1, c_u, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9491,plain,
% 78.37/50.66 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9490, 9483])).
% 78.37/50.66 tff(9492,assumption,(node24(s10)), introduced(assumption)).
% 78.37/50.66 tff(9493,assumption,(~m_user_v_ack(c_e_h_1, c_u, s10)), introduced(assumption)).
% 78.37/50.66 tff(9494,plain,
% 78.37/50.66 (^[X: $i] : refl((m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X))) <=> (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X))))),
% 78.37/50.66 inference(bind,[status(th)],[])).
% 78.37/50.66 tff(9495,plain,
% 78.37/50.66 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))),
% 78.37/50.66 inference(quant_intro,[status(thm)],[9494])).
% 78.37/50.66 tff(9496,plain,
% 78.37/50.66 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9497,axiom,(![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 78.37/50.66 tff(9498,plain,
% 78.37/50.66 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 78.37/50.66 tff(9499,plain,(
% 78.37/50.66 ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))),
% 78.37/50.66 inference(skolemize,[status(sab)],[9498])).
% 78.37/50.66 tff(9500,plain,
% 78.37/50.66 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9499, 9495])).
% 78.37/50.66 tff(9501,plain,
% 78.37/50.66 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s10) | (~node24(s10)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s10) | (~node24(s10)))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9502,plain,
% 78.37/50.66 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s10) | (~node24(s10)))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9503,plain,
% 78.37/50.66 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s10) | (~node24(s10))),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9502, 9501])).
% 78.37/50.66 tff(9504,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9503, 9500, 9493, 9492])).
% 78.37/50.66 tff(9505,plain,((~node24(s10)) | m_user_v_ack(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9506,plain,
% 78.37/50.66 (~node24(s10)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9505, 9491])).
% 78.37/50.66 tff(9507,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s3)), introduced(assumption)).
% 78.37/50.66 tff(9508,plain,
% 78.37/50.66 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s1))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9509,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s1))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9510,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s1)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9509, 9508])).
% 78.37/50.66 tff(9511,plain,
% 78.37/50.66 (node3(c_e_h_1, c_e_h_2, s1)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9510, 2823, 1791])).
% 78.37/50.66 tff(9512,plain,
% 78.37/50.66 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s1)) | (~node3(c_e_h_1, c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s1)) | (~node3(c_e_h_1, c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9513,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s1)) | (~node3(c_e_h_1, c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9514,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s1)) | (~node3(c_e_h_1, c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9513, 9512])).
% 78.37/50.66 tff(9515,plain,
% 78.37/50.66 ((~m_cell_v_ack(c_e_h_2, s1)) | m_and_h_gate_v_out(c_e_h_1, c_q, s1)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9514, 1808, 9511])).
% 78.37/50.66 tff(9516,plain,
% 78.37/50.66 (~m_cell_v_ack(c_e_h_2, s1)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9515, 7125])).
% 78.37/50.66 tff(9517,plain,
% 78.37/50.66 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)) | m_cell_v_ack(c_e_h_2, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)) | m_cell_v_ack(c_e_h_2, s1))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9518,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)) | m_cell_v_ack(c_e_h_2, s1))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9519,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)) | m_cell_v_ack(c_e_h_2, s1)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9518, 9517])).
% 78.37/50.66 tff(9520,plain,
% 78.37/50.66 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9519, 1820, 9516])).
% 78.37/50.66 tff(9521,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s0)), introduced(assumption)).
% 78.37/50.66 tff(9522,plain,
% 78.37/50.66 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s0))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9523,plain,
% 78.37/50.66 ($false),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9522, 424, 9521])).
% 78.37/50.66 tff(9524,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.66 tff(9525,plain,
% 78.37/50.66 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s0)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s0)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9526,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s0)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9527,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s0)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9526, 9525])).
% 78.37/50.66 tff(9528,plain,
% 78.37/50.66 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s0)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9527, 1835, 9524])).
% 78.37/50.66 tff(9529,plain,
% 78.37/50.66 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s0))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9530,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s0))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9531,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s0)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 78.37/50.66 tff(9532,plain,
% 78.37/50.66 (node3(c_e_h_1, c_e_h_2, s0)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9531, 2823, 1791])).
% 78.37/50.66 tff(9533,plain,
% 78.37/50.66 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s0)) | (~node3(c_e_h_1, c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s0)) | (~node3(c_e_h_1, c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9534,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s0)) | (~node3(c_e_h_1, c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9535,plain,
% 78.37/50.66 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s0)) | (~node3(c_e_h_1, c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9534, 9533])).
% 78.37/50.66 tff(9536,plain,
% 78.37/50.66 ((~m_cell_v_ack(c_e_h_2, s0)) | m_and_h_gate_v_out(c_e_h_1, c_q, s0)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9535, 1808, 9532])).
% 78.37/50.66 tff(9537,plain,
% 78.37/50.66 (~m_cell_v_ack(c_e_h_2, s0)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9536, 7096])).
% 78.37/50.66 tff(9538,plain,
% 78.37/50.66 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s0)) | m_cell_v_ack(c_e_h_2, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s0)) | m_cell_v_ack(c_e_h_2, s0))),
% 78.37/50.66 inference(rewrite,[status(thm)],[])).
% 78.37/50.66 tff(9539,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s0)) | m_cell_v_ack(c_e_h_2, s0))),
% 78.37/50.66 inference(quant_inst,[status(thm)],[])).
% 78.37/50.66 tff(9540,plain,
% 78.37/50.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s0)) | m_cell_v_ack(c_e_h_2, s0)),
% 78.37/50.66 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 78.37/50.66 tff(9541,plain,
% 78.37/50.66 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s0)),
% 78.37/50.66 inference(unit_resolution,[status(thm)],[9540, 1820, 9537])).
% 78.37/50.66 tff(9542,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s1)), introduced(assumption)).
% 78.37/50.67 tff(9543,assumption,(node6(c_e_h_2, c_j, s0, s1)), introduced(assumption)).
% 78.37/50.67 tff(9544,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s0)), introduced(assumption)).
% 78.37/50.67 tff(9545,plain,
% 78.37/50.67 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9546,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9545, 1730, 9544])).
% 78.37/50.67 tff(9547,plain,(~m_or_h_gate_v_out(c_e_h_2, c_j, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9548,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1)))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9549,plain,
% 78.37/50.67 (((~node6(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1)))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9550,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1))))),
% 78.37/50.67 inference(monotonicity,[status(thm)],[9549])).
% 78.37/50.67 tff(9551,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1)))),
% 78.37/50.67 inference(transitivity,[status(thm)],[9550, 9548])).
% 78.37/50.67 tff(9552,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9553,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node6(c_e_h_2, c_j, s0, s1))),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 78.37/50.67 tff(9554,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9553, 1851, 9542, 9547, 9543])).
% 78.37/50.67 tff(9555,plain,((~node6(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9556,plain,
% 78.37/50.67 (~node6(c_e_h_2, c_j, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9555, 9542])).
% 78.37/50.67 tff(9557,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9558,plain,
% 78.37/50.67 ((node6(c_e_h_2, c_j, s0, s1) | node5(c_e_h_2, c_j, s0, s1) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9559,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s0, s1) | node5(c_e_h_2, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1)))),
% 78.37/50.67 inference(monotonicity,[status(thm)],[9558])).
% 78.37/50.67 tff(9560,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s0, s1) | node5(c_e_h_2, c_j, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1))),
% 78.37/50.67 inference(transitivity,[status(thm)],[9559, 9557])).
% 78.37/50.67 tff(9561,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s0, s1) | node5(c_e_h_2, c_j, s0, s1) | (~trans(s0, s1)))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9562,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 78.37/50.67 tff(9563,plain,
% 78.37/50.67 (node5(c_e_h_2, c_j, s0, s1) | node6(c_e_h_2, c_j, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9562, 1870, 183])).
% 78.37/50.67 tff(9564,plain,
% 78.37/50.67 (node5(c_e_h_2, c_j, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9563, 9556])).
% 78.37/50.67 tff(9565,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9566,plain,
% 78.37/50.67 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s0) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~node5(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9567,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s0) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~node5(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0)))),
% 78.37/50.67 inference(monotonicity,[status(thm)],[9566])).
% 78.37/50.67 tff(9568,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s0) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~node5(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0))),
% 78.37/50.67 inference(transitivity,[status(thm)],[9567, 9565])).
% 78.37/50.67 tff(9569,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s0) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~node5(c_e_h_2, c_j, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9570,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s1)) | (~node5(c_e_h_2, c_j, s0, s1)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 78.37/50.67 tff(9571,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9570, 1888, 9542, 9564, 9541, 9528])).
% 78.37/50.67 tff(9572,plain,(~m_or_h_gate_v_out(c_e_h_2, c_j, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9573,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s1)), introduced(assumption)).
% 78.37/50.67 tff(9574,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s2)), introduced(assumption)).
% 78.37/50.67 tff(9575,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s1)), introduced(assumption)).
% 78.37/50.67 tff(9576,assumption,(node22(c_e_h_2, c_l, s0, s1)), introduced(assumption)).
% 78.37/50.67 tff(9577,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node22(c_e_h_2, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node22(c_e_h_2, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9578,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node22(c_e_h_2, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9579,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node22(c_e_h_2, c_l, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 78.37/50.67 tff(9580,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9579, 437, 9576, 9524, 9575])).
% 78.37/50.67 tff(9581,plain,((~node22(c_e_h_2, c_l, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9582,plain,
% 78.37/50.67 (~node22(c_e_h_2, c_l, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9581, 9575])).
% 78.37/50.67 tff(9583,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_l, s0, s1) | node22(c_e_h_2, c_l, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_l, s0, s1) | node22(c_e_h_2, c_l, s0, s1))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9584,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_l, s0, s1) | node22(c_e_h_2, c_l, s0, s1))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9585,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_l, s0, s1) | node22(c_e_h_2, c_l, s0, s1)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 78.37/50.67 tff(9586,plain,
% 78.37/50.67 (node21(c_e_h_2, c_l, s0, s1) | node22(c_e_h_2, c_l, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9585, 383, 183])).
% 78.37/50.67 tff(9587,plain,
% 78.37/50.67 (node21(c_e_h_2, c_l, s0, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9586, 9582])).
% 78.37/50.67 tff(9588,assumption,(m_cell_v_token(c_e_h_2, s0)), introduced(assumption)).
% 78.37/50.67 tff(9589,plain,
% 78.37/50.67 (^[X: $i] : refl((~m_cell_v_token(c_e_h_2, X)) <=> (~m_cell_v_token(c_e_h_2, X)))),
% 78.37/50.67 inference(bind,[status(th)],[])).
% 78.37/50.67 tff(9590,plain,
% 78.37/50.67 (![X: $i] : (~m_cell_v_token(c_e_h_2, X)) <=> ![X: $i] : (~m_cell_v_token(c_e_h_2, X))),
% 78.37/50.67 inference(quant_intro,[status(thm)],[9589])).
% 78.37/50.67 tff(9591,plain,
% 78.37/50.67 (![X: $i] : (~m_cell_v_token(c_e_h_2, X)) <=> ![X: $i] : (~m_cell_v_token(c_e_h_2, X))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9592,axiom,(![X: $i] : (~m_cell_v_token(c_e_h_2, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 78.37/50.67 tff(9593,plain,
% 78.37/50.67 (![X: $i] : (~m_cell_v_token(c_e_h_2, X))),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 78.37/50.67 tff(9594,plain,(
% 78.37/50.67 ![X: $i] : (~m_cell_v_token(c_e_h_2, X))),
% 78.37/50.67 inference(skolemize,[status(sab)],[9593])).
% 78.37/50.67 tff(9595,plain,
% 78.37/50.67 (![X: $i] : (~m_cell_v_token(c_e_h_2, X))),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9594, 9590])).
% 78.37/50.67 tff(9596,plain,
% 78.37/50.67 ((~![X: $i] : (~m_cell_v_token(c_e_h_2, X))) | (~m_cell_v_token(c_e_h_2, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9597,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9596, 9595, 9588])).
% 78.37/50.67 tff(9598,plain,(~m_cell_v_token(c_e_h_2, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9599,plain,
% 78.37/50.67 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)) | m_cell_v_token(c_e_h_2, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)) | m_cell_v_token(c_e_h_2, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9600,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)) | m_cell_v_token(c_e_h_2, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9601,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, c_m, X)) | m_cell_v_token(I0, X))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)) | m_cell_v_token(c_e_h_2, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 78.37/50.67 tff(9602,plain,
% 78.37/50.67 (~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9601, 3823, 9598])).
% 78.37/50.67 tff(9603,plain,
% 78.37/50.67 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9604,plain,
% 78.37/50.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9605,plain,
% 78.37/50.67 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, s0)) | m_and_h_gate_h_init_v_init_h_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_m, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 78.37/50.67 tff(9606,plain,
% 78.37/50.67 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9605, 62, 9602])).
% 78.37/50.67 tff(9607,plain,
% 78.37/50.67 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9608,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9609,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 78.37/50.67 tff(9610,plain,
% 78.37/50.67 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s0)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9609, 3838, 9606])).
% 78.37/50.67 tff(9611,plain,
% 78.37/50.67 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s0))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9612,plain,
% 78.37/50.67 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s0))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9613,plain,
% 78.37/50.67 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s0)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s0)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 78.37/50.67 tff(9614,plain,
% 78.37/50.67 (~node20(c_e_h_2, c_l, s0)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9613, 334, 9610])).
% 78.37/50.67 tff(9615,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node21(c_e_h_2, c_l, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node21(c_e_h_2, c_l, s0, s1)))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9616,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node21(c_e_h_2, c_l, s0, s1)))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9617,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s1)) | (~node21(c_e_h_2, c_l, s0, s1))),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 78.37/50.67 tff(9618,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9617, 348, 9614, 9587, 9575])).
% 78.37/50.67 tff(9619,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9620,plain,
% 78.37/50.67 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9621,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9622,plain,
% 78.37/50.67 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s1)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1)),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9621, 9620])).
% 78.37/50.67 tff(9623,plain,
% 78.37/50.67 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s1)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9622, 1835, 9619])).
% 78.37/50.67 tff(9624,assumption,(node5(c_e_h_2, c_j, s1, s2)), introduced(assumption)).
% 78.37/50.67 tff(9625,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9626,plain,
% 78.37/50.67 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9627,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2))))),
% 78.37/50.67 inference(monotonicity,[status(thm)],[9626])).
% 78.37/50.67 tff(9628,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.67 inference(transitivity,[status(thm)],[9627, 9625])).
% 78.37/50.67 tff(9629,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)))),
% 78.37/50.67 inference(quant_inst,[status(thm)],[])).
% 78.37/50.67 tff(9630,plain,
% 78.37/50.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s1) | (~node5(c_e_h_2, c_j, s1, s2))),
% 78.37/50.67 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 78.37/50.67 tff(9631,plain,
% 78.37/50.67 ($false),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9630, 1888, 9574, 9624, 9623, 9573])).
% 78.37/50.67 tff(9632,plain,((~node5(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.67 tff(9633,plain,
% 78.37/50.67 (~node5(c_e_h_2, c_j, s1, s2)),
% 78.37/50.67 inference(unit_resolution,[status(thm)],[9632, 9574, 9573])).
% 78.37/50.67 tff(9634,plain,
% 78.37/50.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2))),
% 78.37/50.67 inference(rewrite,[status(thm)],[])).
% 78.37/50.67 tff(9635,plain,
% 78.37/50.67 ((node6(c_e_h_2, c_j, s1, s2) | node5(c_e_h_2, c_j, s1, s2) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9636,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s1, s2) | node5(c_e_h_2, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.68 inference(monotonicity,[status(thm)],[9635])).
% 78.37/50.68 tff(9637,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s1, s2) | node5(c_e_h_2, c_j, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2))),
% 78.37/50.68 inference(transitivity,[status(thm)],[9636, 9634])).
% 78.37/50.68 tff(9638,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s1, s2) | node5(c_e_h_2, c_j, s1, s2) | (~trans(s1, s2)))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9639,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9638, 9637])).
% 78.37/50.68 tff(9640,plain,
% 78.37/50.68 (node5(c_e_h_2, c_j, s1, s2) | node6(c_e_h_2, c_j, s1, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9639, 1870, 265])).
% 78.37/50.68 tff(9641,plain,
% 78.37/50.68 (node6(c_e_h_2, c_j, s1, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9640, 9633])).
% 78.37/50.68 tff(9642,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s1)), introduced(assumption)).
% 78.37/50.68 tff(9643,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9644,plain,
% 78.37/50.68 (((~node6(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9645,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2))))),
% 78.37/50.68 inference(monotonicity,[status(thm)],[9644])).
% 78.37/50.68 tff(9646,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2)))),
% 78.37/50.68 inference(transitivity,[status(thm)],[9645, 9643])).
% 78.37/50.68 tff(9647,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9648,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | (~node6(c_e_h_2, c_j, s1, s2))),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 78.37/50.68 tff(9649,plain,
% 78.37/50.68 ($false),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9648, 1851, 9642, 9574, 9641])).
% 78.37/50.68 tff(9650,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.68 tff(9651,plain,
% 78.37/50.68 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9650, 9572])).
% 78.37/50.68 tff(9652,plain,
% 78.37/50.68 (~m_or_h_gate_v_out(c_e_h_2, c_j, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9651, 9520])).
% 78.37/50.68 tff(9653,assumption,(node6(c_e_h_2, c_j, s2, s3)), introduced(assumption)).
% 78.37/50.68 tff(9654,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9655,plain,
% 78.37/50.68 (((~node6(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2)) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9656,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3))))),
% 78.37/50.68 inference(monotonicity,[status(thm)],[9655])).
% 78.37/50.68 tff(9657,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3)))),
% 78.37/50.68 inference(transitivity,[status(thm)],[9656, 9654])).
% 78.37/50.68 tff(9658,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9659,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2) | (~node6(c_e_h_2, c_j, s2, s3))),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9658, 9657])).
% 78.37/50.68 tff(9660,plain,
% 78.37/50.68 ($false),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9659, 1851, 9507, 9653, 9652])).
% 78.37/50.68 tff(9661,plain,((~node6(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.68 tff(9662,plain,
% 78.37/50.68 (~node6(c_e_h_2, c_j, s2, s3)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9661, 9507])).
% 78.37/50.68 tff(9663,plain,
% 78.37/50.68 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s2))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9664,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s2))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9665,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s2)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 78.37/50.68 tff(9666,plain,
% 78.37/50.68 (node3(c_e_h_1, c_e_h_2, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9665, 2823, 1791])).
% 78.37/50.68 tff(9667,plain,
% 78.37/50.68 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s2)) | (~node3(c_e_h_1, c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s2)) | (~node3(c_e_h_1, c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9668,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s2)) | (~node3(c_e_h_1, c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9669,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s2)) | (~node3(c_e_h_1, c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 78.37/50.68 tff(9670,plain,
% 78.37/50.68 ((~m_cell_v_ack(c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_1, c_q, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9669, 1808, 9666])).
% 78.37/50.68 tff(9671,plain,
% 78.37/50.68 (~m_cell_v_ack(c_e_h_2, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9670, 7130])).
% 78.37/50.68 tff(9672,plain,
% 78.37/50.68 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)) | m_cell_v_ack(c_e_h_2, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)) | m_cell_v_ack(c_e_h_2, s2))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9673,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)) | m_cell_v_ack(c_e_h_2, s2))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9674,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)) | m_cell_v_ack(c_e_h_2, s2)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 78.37/50.68 tff(9675,plain,
% 78.37/50.68 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9674, 1820, 9671])).
% 78.37/50.68 tff(9676,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s2)), introduced(assumption)).
% 78.37/50.68 tff(9677,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s2)), introduced(assumption)).
% 78.37/50.68 tff(9678,assumption,(node21(c_e_h_2, c_l, s1, s2)), introduced(assumption)).
% 78.37/50.68 tff(9679,plain,
% 78.37/50.68 (((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_2, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0))) <=> ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_2, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9680,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | (m_cell_v_token(c_e_h_2, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9681,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : (m_cell_v_token(I0, X) | m_and_h_gate_h_init_v_init_h_out(I0, c_n, X))) | m_cell_v_token(c_e_h_2, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 78.37/50.68 tff(9682,plain,
% 78.37/50.68 (m_cell_v_token(c_e_h_2, s0) | m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9681, 91])).
% 78.37/50.68 tff(9683,plain,
% 78.37/50.68 (m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9682, 9598])).
% 78.37/50.68 tff(9684,plain,
% 78.37/50.68 (((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0))) <=> ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9685,plain,
% 78.37/50.68 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | ((~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9686,plain,
% 78.37/50.68 ((~![I0: $i, I1: $i] : ((~m_and_h_gate_h_init_v_init_h_out(I0, I1, s0)) | m_and_h_gate_h_init_v_out(I0, I1, s0))) | (~m_and_h_gate_h_init_v_init_h_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9685, 9684])).
% 78.37/50.68 tff(9687,plain,
% 78.37/50.68 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9686, 77, 9683])).
% 78.37/50.68 tff(9688,plain,
% 78.37/50.68 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9689,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9690,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0))),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9689, 9688])).
% 78.37/50.68 tff(9691,plain,
% 78.37/50.68 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9690, 3886, 9687])).
% 78.37/50.68 tff(9692,plain,
% 78.37/50.68 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9693,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9694,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s0)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s0)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9693, 9692])).
% 78.37/50.68 tff(9695,plain,
% 78.37/50.68 (~node9(c_e_h_2, c_m, s0)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9694, 238, 9691])).
% 78.37/50.68 tff(9696,assumption,(~node9(c_e_h_2, c_m, s0)), introduced(assumption)).
% 78.37/50.68 tff(9697,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)), introduced(assumption)).
% 78.37/50.68 tff(9698,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)), introduced(assumption)).
% 78.37/50.68 tff(9699,assumption,(node11(c_e_h_2, c_m, s0, s1)), introduced(assumption)).
% 78.37/50.68 tff(9700,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node11(c_e_h_2, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node11(c_e_h_2, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9701,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node11(c_e_h_2, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9702,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node11(c_e_h_2, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9701, 9700])).
% 78.37/50.68 tff(9703,plain,
% 78.37/50.68 ($false),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9702, 282, 9697, 9698, 9699])).
% 78.37/50.68 tff(9704,plain,((~node11(c_e_h_2, c_m, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.68 tff(9705,plain,
% 78.37/50.68 (~node11(c_e_h_2, c_m, s0, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9704, 9698, 9697])).
% 78.37/50.68 tff(9706,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_2, c_m, s0, s1) | node11(c_e_h_2, c_m, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_2, c_m, s0, s1) | node11(c_e_h_2, c_m, s0, s1))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9707,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_2, c_m, s0, s1) | node11(c_e_h_2, c_m, s0, s1))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9708,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_2, c_m, s0, s1) | node11(c_e_h_2, c_m, s0, s1)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 78.37/50.68 tff(9709,plain,
% 78.37/50.68 (node10(c_e_h_2, c_m, s0, s1) | node11(c_e_h_2, c_m, s0, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9708, 193, 183])).
% 78.37/50.68 tff(9710,plain,
% 78.37/50.68 (node10(c_e_h_2, c_m, s0, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9709, 9705])).
% 78.37/50.68 tff(9711,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node10(c_e_h_2, c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node10(c_e_h_2, c_m, s0, s1)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9712,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node10(c_e_h_2, c_m, s0, s1)))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9713,plain,
% 78.37/50.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s0) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | (~node10(c_e_h_2, c_m, s0, s1))),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 78.37/50.68 tff(9714,plain,
% 78.37/50.68 ($false),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9713, 252, 9698, 9710, 9696])).
% 78.37/50.68 tff(9715,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)) | node9(c_e_h_2, c_m, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.68 tff(9716,plain,
% 78.37/50.68 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9715, 9695, 9606])).
% 78.37/50.68 tff(9717,plain,
% 78.37/50.68 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9718,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9719,plain,
% 78.37/50.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 78.37/50.68 tff(9720,plain,
% 78.37/50.68 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9719, 3838, 9716])).
% 78.37/50.68 tff(9721,plain,
% 78.37/50.68 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s1))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9722,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s1))),
% 78.37/50.68 inference(quant_inst,[status(thm)],[])).
% 78.37/50.68 tff(9723,plain,
% 78.37/50.68 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s1)),
% 78.37/50.68 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 78.37/50.68 tff(9724,plain,
% 78.37/50.68 (~node20(c_e_h_2, c_l, s1)),
% 78.37/50.68 inference(unit_resolution,[status(thm)],[9723, 334, 9720])).
% 78.37/50.68 tff(9725,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9726,plain,
% 78.37/50.68 ((node20(c_e_h_2, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node21(c_e_h_2, c_l, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2)))),
% 78.37/50.68 inference(rewrite,[status(thm)],[])).
% 78.37/50.68 tff(9727,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node21(c_e_h_2, c_l, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2))))),
% 78.37/50.68 inference(monotonicity,[status(thm)],[9726])).
% 78.37/50.68 tff(9728,plain,
% 78.37/50.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node21(c_e_h_2, c_l, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2)))),
% 78.37/50.69 inference(transitivity,[status(thm)],[9727, 9725])).
% 78.37/50.69 tff(9729,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node21(c_e_h_2, c_l, s1, s2)))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9730,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | node20(c_e_h_2, c_l, s1) | (~node21(c_e_h_2, c_l, s1, s2))),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9729, 9728])).
% 78.37/50.69 tff(9731,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9730, 348, 9724, 9678, 9677])).
% 78.37/50.69 tff(9732,plain,((~node21(c_e_h_2, c_l, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9733,plain,
% 78.37/50.69 (~node21(c_e_h_2, c_l, s1, s2)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9732, 9677])).
% 78.37/50.69 tff(9734,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_l, s1, s2) | node22(c_e_h_2, c_l, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_l, s1, s2) | node22(c_e_h_2, c_l, s1, s2))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9735,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_l, s1, s2) | node22(c_e_h_2, c_l, s1, s2))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9736,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_l, s1, s2) | node22(c_e_h_2, c_l, s1, s2)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 78.37/50.69 tff(9737,plain,
% 78.37/50.69 (node21(c_e_h_2, c_l, s1, s2) | node22(c_e_h_2, c_l, s1, s2)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9736, 383, 265])).
% 78.37/50.69 tff(9738,plain,
% 78.37/50.69 (node22(c_e_h_2, c_l, s1, s2)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9737, 9733])).
% 78.37/50.69 tff(9739,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node22(c_e_h_2, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node22(c_e_h_2, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9740,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node22(c_e_h_2, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9741,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s2)) | (~node22(c_e_h_2, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s1)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9740, 9739])).
% 78.37/50.69 tff(9742,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9741, 437, 9619, 9738, 9677])).
% 78.37/50.69 tff(9743,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9744,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9745,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9746,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s2)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 78.37/50.69 tff(9747,plain,
% 78.37/50.69 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s2)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9746, 1835, 9743])).
% 78.37/50.69 tff(9748,assumption,(node5(c_e_h_2, c_j, s2, s3)), introduced(assumption)).
% 78.37/50.69 tff(9749,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9750,plain,
% 78.37/50.69 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2) | (~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9751,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2) | (~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2)))),
% 78.37/50.69 inference(monotonicity,[status(thm)],[9750])).
% 78.37/50.69 tff(9752,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2) | (~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2))),
% 78.37/50.69 inference(transitivity,[status(thm)],[9751, 9749])).
% 78.37/50.69 tff(9753,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2) | (~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9754,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | (~node5(c_e_h_2, c_j, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s2) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 78.37/50.69 tff(9755,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9754, 1888, 9507, 9748, 9747, 9676])).
% 78.37/50.69 tff(9756,plain,((~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s2)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9757,plain,
% 78.37/50.69 ((~node5(c_e_h_2, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s3))),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9756, 9675])).
% 78.37/50.69 tff(9758,plain,
% 78.37/50.69 (~node5(c_e_h_2, c_j, s2, s3)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9757, 9507])).
% 78.37/50.69 tff(9759,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9760,plain,
% 78.37/50.69 ((node6(c_e_h_2, c_j, s2, s3) | node5(c_e_h_2, c_j, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9761,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s2, s3) | node5(c_e_h_2, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3)))),
% 78.37/50.69 inference(monotonicity,[status(thm)],[9760])).
% 78.37/50.69 tff(9762,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s2, s3) | node5(c_e_h_2, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3))),
% 78.37/50.69 inference(transitivity,[status(thm)],[9761, 9759])).
% 78.37/50.69 tff(9763,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s2, s3) | node5(c_e_h_2, c_j, s2, s3) | (~trans(s2, s3)))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9764,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 78.37/50.69 tff(9765,plain,
% 78.37/50.69 (node5(c_e_h_2, c_j, s2, s3) | node6(c_e_h_2, c_j, s2, s3)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9764, 1870, 463])).
% 78.37/50.69 tff(9766,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9765, 9758, 9662])).
% 78.37/50.69 tff(9767,plain,(~m_or_h_gate_v_out(c_e_h_2, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9768,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9769,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9770,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 78.37/50.69 tff(9771,plain,
% 78.37/50.69 (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9770, 1740, 9767])).
% 78.37/50.69 tff(9772,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9773,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9774,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_or_h_gate_v_out(c_e_h_2, c_j, s2)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 78.37/50.69 tff(9775,plain,
% 78.37/50.69 (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9774, 1740, 9652])).
% 78.37/50.69 tff(9776,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9777,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9778,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_j, s1)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 78.37/50.69 tff(9779,plain,
% 78.37/50.69 (~m_c_h_element_v_in2(c_e_h_2, c_h, s1)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9778, 1740, 9572])).
% 78.37/50.69 tff(9780,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s1)), introduced(assumption)).
% 78.37/50.69 tff(9781,assumption,(m_and_h_gate_v_out(c_e_h_2, c_d, s0)), introduced(assumption)).
% 78.37/50.69 tff(9782,plain,
% 78.37/50.69 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9783,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9782, 424, 9781])).
% 78.37/50.69 tff(9784,plain,(~m_and_h_gate_v_out(c_e_h_2, c_d, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9785,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9786,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9787,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9786, 9785])).
% 78.37/50.69 tff(9788,plain,
% 78.37/50.69 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s0)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9787, 2501, 9784])).
% 78.37/50.69 tff(9789,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s0)), introduced(assumption)).
% 78.37/50.69 tff(9790,plain,
% 78.37/50.69 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9791,plain,
% 78.37/50.69 ($false),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9790, 424, 9789])).
% 78.37/50.69 tff(9792,plain,(~m_and_h_gate_v_out(c_e_h_2, c_c, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.69 tff(9793,plain,
% 78.37/50.69 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9794,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9795,plain,
% 78.37/50.69 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0)),
% 78.37/50.69 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 78.37/50.69 tff(9796,plain,
% 78.37/50.69 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s0)),
% 78.37/50.69 inference(unit_resolution,[status(thm)],[9795, 2486, 9792])).
% 78.37/50.69 tff(9797,assumption,(node5(c_e_h_2, c_g, s0, s1)), introduced(assumption)).
% 78.37/50.69 tff(9798,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9799,plain,
% 78.37/50.69 ((m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.69 inference(rewrite,[status(thm)],[])).
% 78.37/50.69 tff(9800,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1))))),
% 78.37/50.69 inference(monotonicity,[status(thm)],[9799])).
% 78.37/50.69 tff(9801,plain,
% 78.37/50.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.69 inference(transitivity,[status(thm)],[9800, 9798])).
% 78.37/50.69 tff(9802,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)))),
% 78.37/50.69 inference(quant_inst,[status(thm)],[])).
% 78.37/50.69 tff(9803,plain,
% 78.37/50.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s0) | m_or_h_gate_v_in1(c_e_h_2, c_g, s0) | (~node5(c_e_h_2, c_g, s0, s1))),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 78.37/50.70 tff(9804,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9803, 1888, 9797, 9796, 9780, 9788])).
% 78.37/50.70 tff(9805,plain,((~node5(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9806,plain,
% 78.37/50.70 (~node5(c_e_h_2, c_g, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9805, 9780])).
% 78.37/50.70 tff(9807,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s0)), introduced(assumption)).
% 78.37/50.70 tff(9808,plain,
% 78.37/50.70 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s0))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9809,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9808, 1730, 9807])).
% 78.37/50.70 tff(9810,plain,(~m_or_h_gate_v_out(c_e_h_2, c_g, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9811,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s0)), introduced(assumption)).
% 78.37/50.70 tff(9812,assumption,(node6(c_e_h_2, c_g, s0, s1)), introduced(assumption)).
% 78.37/50.70 tff(9813,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9814,plain,
% 78.37/50.70 (((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0)) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9815,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1))))),
% 78.37/50.70 inference(monotonicity,[status(thm)],[9814])).
% 78.37/50.70 tff(9816,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.70 inference(transitivity,[status(thm)],[9815, 9813])).
% 78.37/50.70 tff(9817,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9818,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s0) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | (~node6(c_e_h_2, c_g, s0, s1))),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 78.37/50.70 tff(9819,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9818, 1851, 9812, 9780, 9811])).
% 78.37/50.70 tff(9820,plain,((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9821,plain,
% 78.37/50.70 ((~node6(c_e_h_2, c_g, s0, s1)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9820, 9810])).
% 78.37/50.70 tff(9822,plain,
% 78.37/50.70 (~node6(c_e_h_2, c_g, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9821, 9780])).
% 78.37/50.70 tff(9823,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9824,plain,
% 78.37/50.70 ((node6(c_e_h_2, c_g, s0, s1) | node5(c_e_h_2, c_g, s0, s1) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9825,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s0, s1) | node5(c_e_h_2, c_g, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1)))),
% 78.37/50.70 inference(monotonicity,[status(thm)],[9824])).
% 78.37/50.70 tff(9826,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s0, s1) | node5(c_e_h_2, c_g, s0, s1) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1))),
% 78.37/50.70 inference(transitivity,[status(thm)],[9825, 9823])).
% 78.37/50.70 tff(9827,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s0, s1) | node5(c_e_h_2, c_g, s0, s1) | (~trans(s0, s1)))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9828,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s0, s1)) | node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9827, 9826])).
% 78.37/50.70 tff(9829,plain,
% 78.37/50.70 (node5(c_e_h_2, c_g, s0, s1) | node6(c_e_h_2, c_g, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9828, 1870, 183])).
% 78.37/50.70 tff(9830,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9829, 9822, 9806])).
% 78.37/50.70 tff(9831,plain,(~m_or_h_gate_v_out(c_e_h_2, c_g, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9832,plain,
% 78.37/50.70 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9833,plain,
% 78.37/50.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9834,plain,
% 78.37/50.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 78.37/50.70 tff(9835,plain,
% 78.37/50.70 (~m_c_h_element_v_in1(c_e_h_2, c_h, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9834, 4673, 9831])).
% 78.37/50.70 tff(9836,plain,
% 78.37/50.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | m_c_h_element_v_in2(c_e_h_2, c_h, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | m_c_h_element_v_in2(c_e_h_2, c_h, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9837,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | m_c_h_element_v_in2(c_e_h_2, c_h, s1))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9838,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | m_c_h_element_v_in2(c_e_h_2, c_h, s1)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 78.37/50.70 tff(9839,plain,
% 78.37/50.70 ((~node16(c_e_h_2, c_h, s1)) | m_c_h_element_v_in2(c_e_h_2, c_h, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9838, 559, 9835])).
% 78.37/50.70 tff(9840,plain,
% 78.37/50.70 (~node16(c_e_h_2, c_h, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9839, 9779])).
% 78.37/50.70 tff(9841,assumption,(~node16(c_e_h_2, c_h, s1)), introduced(assumption)).
% 78.37/50.70 tff(9842,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s2)), introduced(assumption)).
% 78.37/50.70 tff(9843,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s1)), introduced(assumption)).
% 78.37/50.70 tff(9844,assumption,(node18(c_e_h_2, c_h, s0, s1)), introduced(assumption)).
% 78.37/50.70 tff(9845,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s0)), introduced(assumption)).
% 78.37/50.70 tff(9846,plain,
% 78.37/50.70 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9847,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9846, 135, 9845])).
% 78.37/50.70 tff(9848,plain,(~m_c_h_element_v_out(c_e_h_2, c_h, s0)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9849,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9850,plain,
% 78.37/50.70 (((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~node18(c_e_h_2, c_h, s0, s1))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9851,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~node18(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1))))),
% 78.37/50.70 inference(monotonicity,[status(thm)],[9850])).
% 78.37/50.70 tff(9852,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~node18(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(transitivity,[status(thm)],[9851, 9849])).
% 78.37/50.70 tff(9853,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~node18(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9854,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node18(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 78.37/50.70 tff(9855,plain,
% 78.37/50.70 ($false),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9854, 481, 9848, 9843, 9844])).
% 78.37/50.70 tff(9856,plain,((~node18(c_e_h_2, c_h, s0, s1)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.70 tff(9857,plain,
% 78.37/50.70 (~node18(c_e_h_2, c_h, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9856, 9843])).
% 78.37/50.70 tff(9858,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9859,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9860,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_h, s0, s1)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 78.37/50.70 tff(9861,plain,
% 78.37/50.70 (node19(c_e_h_2, c_h, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9860, 494, 183])).
% 78.37/50.70 tff(9862,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9863,plain,
% 78.37/50.70 ((node17(c_e_h_2, c_h, s0) | node18(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1))) <=> (node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9864,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s0) | node18(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(monotonicity,[status(thm)],[9863])).
% 78.37/50.70 tff(9865,plain,
% 78.37/50.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s0) | node18(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1))),
% 78.37/50.70 inference(transitivity,[status(thm)],[9864, 9862])).
% 78.37/50.70 tff(9866,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s0) | node18(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9867,plain,
% 78.37/50.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node18(c_e_h_2, c_h, s0, s1)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 78.37/50.70 tff(9868,plain,
% 78.37/50.70 (node17(c_e_h_2, c_h, s0) | node18(c_e_h_2, c_h, s0, s1)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9867, 508, 9861])).
% 78.37/50.70 tff(9869,plain,
% 78.37/50.70 (node17(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9868, 9857])).
% 78.37/50.70 tff(9870,plain,
% 78.37/50.70 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s0)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s0)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9871,plain,
% 78.37/50.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s0)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9872,plain,
% 78.37/50.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s0)) | m_or_h_gate_v_out(c_e_h_2, c_j, s0)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 78.37/50.70 tff(9873,plain,
% 78.37/50.70 (~m_c_h_element_v_in2(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9872, 1740, 9547])).
% 78.37/50.70 tff(9874,plain,
% 78.37/50.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9875,plain,
% 78.37/50.70 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0) | (~node17(c_e_h_2, c_h, s0))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9876,plain,
% 78.37/50.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0) | (~node17(c_e_h_2, c_h, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0)))),
% 78.37/50.70 inference(monotonicity,[status(thm)],[9875])).
% 78.37/50.70 tff(9877,plain,
% 78.37/50.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0) | (~node17(c_e_h_2, c_h, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(transitivity,[status(thm)],[9876, 9874])).
% 78.37/50.70 tff(9878,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0) | (~node17(c_e_h_2, c_h, s0)))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9879,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0)) | m_c_h_element_v_in2(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9878, 9877])).
% 78.37/50.70 tff(9880,plain,
% 78.37/50.70 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s0)) | (~node17(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9879, 541, 9873])).
% 78.37/50.70 tff(9881,plain,
% 78.37/50.70 (~m_c_h_element_v_in1(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9880, 9869])).
% 78.37/50.70 tff(9882,plain,
% 78.37/50.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s0)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s0)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(rewrite,[status(thm)],[])).
% 78.37/50.70 tff(9883,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s0)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | m_c_h_element_v_in2(c_e_h_2, c_h, s0))),
% 78.37/50.70 inference(quant_inst,[status(thm)],[])).
% 78.37/50.70 tff(9884,plain,
% 78.37/50.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s0)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | m_c_h_element_v_in2(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 78.37/50.70 tff(9885,plain,
% 78.37/50.70 ((~node16(c_e_h_2, c_h, s0)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9884, 559, 9873])).
% 78.37/50.70 tff(9886,plain,
% 78.37/50.70 (~node16(c_e_h_2, c_h, s0)),
% 78.37/50.70 inference(unit_resolution,[status(thm)],[9885, 9881])).
% 78.37/50.71 tff(9887,assumption,(node15(c_e_h_2, c_h, s0, s1)), introduced(assumption)).
% 78.37/50.71 tff(9888,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node15(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node15(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9889,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node15(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))),
% 78.37/50.71 inference(quant_inst,[status(thm)],[])).
% 78.37/50.71 tff(9890,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | (~node15(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s0)),
% 78.37/50.71 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 78.37/50.71 tff(9891,plain,
% 78.37/50.71 ($false),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9890, 612, 9848, 9843, 9887])).
% 78.37/50.71 tff(9892,plain,((~node15(c_e_h_2, c_h, s0, s1)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1))), inference(lemma,lemma(discharge,[]))).
% 78.37/50.71 tff(9893,plain,
% 78.37/50.71 (~node15(c_e_h_2, c_h, s0, s1)),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9892, 9843])).
% 78.37/50.71 tff(9894,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9895,plain,
% 78.37/50.71 ((node16(c_e_h_2, c_h, s0) | node14(c_e_h_2, c_h, s0, s1) | node15(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1))) <=> (node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9896,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s0) | node14(c_e_h_2, c_h, s0, s1) | node15(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.71 inference(monotonicity,[status(thm)],[9895])).
% 78.37/50.71 tff(9897,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s0) | node14(c_e_h_2, c_h, s0, s1) | node15(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1))),
% 78.37/50.71 inference(transitivity,[status(thm)],[9896, 9894])).
% 78.37/50.71 tff(9898,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s0) | node14(c_e_h_2, c_h, s0, s1) | node15(c_e_h_2, c_h, s0, s1) | (~node19(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.71 inference(quant_inst,[status(thm)],[])).
% 78.37/50.71 tff(9899,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s0) | (~node19(c_e_h_2, c_h, s0, s1)) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1)),
% 78.37/50.71 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 78.37/50.71 tff(9900,plain,
% 78.37/50.71 (node16(c_e_h_2, c_h, s0) | node15(c_e_h_2, c_h, s0, s1) | node14(c_e_h_2, c_h, s0, s1)),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9899, 594, 9861])).
% 78.37/50.71 tff(9901,plain,
% 78.37/50.71 (node14(c_e_h_2, c_h, s0, s1)),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9900, 9893, 9886])).
% 78.37/50.71 tff(9902,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9903,plain,
% 78.37/50.71 (((~node14(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9904,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1))))),
% 78.37/50.71 inference(monotonicity,[status(thm)],[9903])).
% 78.37/50.71 tff(9905,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1)))),
% 78.37/50.71 inference(transitivity,[status(thm)],[9904, 9902])).
% 78.37/50.71 tff(9906,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)))),
% 78.37/50.71 inference(quant_inst,[status(thm)],[])).
% 78.37/50.71 tff(9907,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s1)) | m_c_h_element_v_in1(c_e_h_2, c_h, s0) | (~node14(c_e_h_2, c_h, s0, s1))),
% 78.37/50.71 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 78.37/50.71 tff(9908,plain,
% 78.37/50.71 ($false),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9907, 575, 9843, 9881, 9901])).
% 78.37/50.71 tff(9909,plain,(~m_c_h_element_v_out(c_e_h_2, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.71 tff(9910,assumption,(node15(c_e_h_2, c_h, s1, s2)), introduced(assumption)).
% 78.37/50.71 tff(9911,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s1)), introduced(assumption)).
% 78.37/50.71 tff(9912,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | (~node15(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | (~node15(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9913,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | (~node15(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))),
% 78.37/50.71 inference(quant_inst,[status(thm)],[])).
% 78.37/50.71 tff(9914,plain,
% 78.37/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | (~node15(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s1)),
% 78.37/50.71 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 78.37/50.71 tff(9915,plain,
% 78.37/50.71 ($false),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9914, 612, 9842, 9911, 9910])).
% 78.37/50.71 tff(9916,plain,((~node15(c_e_h_2, c_h, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 78.37/50.71 tff(9917,plain,
% 78.37/50.71 ((~node15(c_e_h_2, c_h, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2))),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9916, 9909])).
% 78.37/50.71 tff(9918,plain,
% 78.37/50.71 (~node15(c_e_h_2, c_h, s1, s2)),
% 78.37/50.71 inference(unit_resolution,[status(thm)],[9917, 9842])).
% 78.37/50.71 tff(9919,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s1)), introduced(assumption)).
% 78.37/50.71 tff(9920,assumption,(node14(c_e_h_2, c_h, s1, s2)), introduced(assumption)).
% 78.37/50.71 tff(9921,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2)))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9922,plain,
% 78.37/50.71 (((~node14(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2)))),
% 78.37/50.71 inference(rewrite,[status(thm)],[])).
% 78.37/50.71 tff(9923,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2))))),
% 78.37/50.71 inference(monotonicity,[status(thm)],[9922])).
% 78.37/50.71 tff(9924,plain,
% 78.37/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2)))),
% 78.45/50.71 inference(transitivity,[status(thm)],[9923, 9921])).
% 78.45/50.71 tff(9925,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9926,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1) | (~node14(c_e_h_2, c_h, s1, s2))),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 78.45/50.71 tff(9927,plain,
% 78.45/50.71 ($false),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9926, 575, 9842, 9920, 9919])).
% 78.45/50.71 tff(9928,plain,((~node14(c_e_h_2, c_h, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.71 tff(9929,plain,
% 78.45/50.71 (~node14(c_e_h_2, c_h, s1, s2)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9928, 9842, 9919])).
% 78.45/50.71 tff(9930,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_h, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_h, s1, s2))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9931,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_h, s1, s2))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9932,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_h, s1, s2)),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 78.45/50.71 tff(9933,plain,
% 78.45/50.71 (node19(c_e_h_2, c_h, s1, s2)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9932, 494, 265])).
% 78.45/50.71 tff(9934,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2)))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9935,plain,
% 78.45/50.71 ((node16(c_e_h_2, c_h, s1) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | (~node19(c_e_h_2, c_h, s1, s2))) <=> (node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2)))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9936,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s1) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | (~node19(c_e_h_2, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2))))),
% 78.45/50.71 inference(monotonicity,[status(thm)],[9935])).
% 78.45/50.71 tff(9937,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s1) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | (~node19(c_e_h_2, c_h, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2)))),
% 78.45/50.71 inference(transitivity,[status(thm)],[9936, 9934])).
% 78.45/50.71 tff(9938,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s1) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | (~node19(c_e_h_2, c_h, s1, s2)))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9939,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1) | (~node19(c_e_h_2, c_h, s1, s2))),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 78.45/50.71 tff(9940,plain,
% 78.45/50.71 (node14(c_e_h_2, c_h, s1, s2) | node15(c_e_h_2, c_h, s1, s2) | node16(c_e_h_2, c_h, s1)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9939, 594, 9933])).
% 78.45/50.71 tff(9941,plain,
% 78.45/50.71 ($false),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9940, 9929, 9918, 9841])).
% 78.45/50.71 tff(9942,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | node16(c_e_h_2, c_h, s1) | m_c_h_element_v_in1(c_e_h_2, c_h, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.71 tff(9943,plain,
% 78.45/50.71 ((~m_c_h_element_v_out(c_e_h_2, c_h, s2)) | node16(c_e_h_2, c_h, s1)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9942, 9835])).
% 78.45/50.71 tff(9944,plain,
% 78.45/50.71 (~m_c_h_element_v_out(c_e_h_2, c_h, s2)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9943, 9840])).
% 78.45/50.71 tff(9945,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.71 tff(9946,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s2)), introduced(assumption)).
% 78.45/50.71 tff(9947,assumption,(node15(c_e_h_2, c_h, s2, s3)), introduced(assumption)).
% 78.45/50.71 tff(9948,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | (~node15(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | (~node15(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9949,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | (~node15(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9950,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | (~node15(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2)),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 78.45/50.71 tff(9951,plain,
% 78.45/50.71 ($false),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9950, 612, 9946, 9947, 9945])).
% 78.45/50.71 tff(9952,plain,((~node15(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.71 tff(9953,plain,
% 78.45/50.71 (~node15(c_e_h_2, c_h, s2, s3)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9952, 9945, 9946])).
% 78.45/50.71 tff(9954,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s2)), introduced(assumption)).
% 78.45/50.71 tff(9955,assumption,(node14(c_e_h_2, c_h, s2, s3)), introduced(assumption)).
% 78.45/50.71 tff(9956,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9957,plain,
% 78.45/50.71 (((~node14(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9958,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3))))),
% 78.45/50.71 inference(monotonicity,[status(thm)],[9957])).
% 78.45/50.71 tff(9959,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.71 inference(transitivity,[status(thm)],[9958, 9956])).
% 78.45/50.71 tff(9960,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9961,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node14(c_e_h_2, c_h, s2, s3))),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9960, 9959])).
% 78.45/50.71 tff(9962,plain,
% 78.45/50.71 ($false),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9961, 575, 9955, 9945, 9954])).
% 78.45/50.71 tff(9963,plain,((~node14(c_e_h_2, c_h, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.71 tff(9964,plain,
% 78.45/50.71 (~node14(c_e_h_2, c_h, s2, s3)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9963, 9945, 9954])).
% 78.45/50.71 tff(9965,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_h, s2, s3))),
% 78.45/50.71 inference(rewrite,[status(thm)],[])).
% 78.45/50.71 tff(9966,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_h, s2, s3))),
% 78.45/50.71 inference(quant_inst,[status(thm)],[])).
% 78.45/50.71 tff(9967,plain,
% 78.45/50.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_h, s2, s3)),
% 78.45/50.71 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 78.45/50.71 tff(9968,plain,
% 78.45/50.71 (node19(c_e_h_2, c_h, s2, s3)),
% 78.45/50.71 inference(unit_resolution,[status(thm)],[9967, 494, 463])).
% 78.45/50.71 tff(9969,plain,
% 78.45/50.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9970,plain,
% 78.45/50.72 ((node16(c_e_h_2, c_h, s2) | node14(c_e_h_2, c_h, s2, s3) | node15(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3))) <=> (node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9971,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s2) | node14(c_e_h_2, c_h, s2, s3) | node15(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[9970])).
% 78.45/50.72 tff(9972,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s2) | node14(c_e_h_2, c_h, s2, s3) | node15(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(transitivity,[status(thm)],[9971, 9969])).
% 78.45/50.72 tff(9973,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s2) | node14(c_e_h_2, c_h, s2, s3) | node15(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(9974,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 78.45/50.72 tff(9975,plain,
% 78.45/50.72 (node16(c_e_h_2, c_h, s2) | node15(c_e_h_2, c_h, s2, s3) | node14(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9974, 594, 9968])).
% 78.45/50.72 tff(9976,plain,
% 78.45/50.72 (node16(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9975, 9964, 9953])).
% 78.45/50.72 tff(9977,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | m_c_h_element_v_in2(c_e_h_2, c_h, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | m_c_h_element_v_in2(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9978,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | m_c_h_element_v_in2(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(9979,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | m_c_h_element_v_in2(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 78.45/50.72 tff(9980,plain,
% 78.45/50.72 ((~node16(c_e_h_2, c_h, s2)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9979, 559, 9954])).
% 78.45/50.72 tff(9981,plain,
% 78.45/50.72 (m_c_h_element_v_in2(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9980, 9976])).
% 78.45/50.72 tff(9982,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9983,plain,
% 78.45/50.72 ((m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9984,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2))))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[9983])).
% 78.45/50.72 tff(9985,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(transitivity,[status(thm)],[9984, 9982])).
% 78.45/50.72 tff(9986,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(9987,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | m_c_h_element_v_in1(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[9986, 9985])).
% 78.45/50.72 tff(9988,plain,
% 78.45/50.72 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9987, 1172, 9954])).
% 78.45/50.72 tff(9989,plain,
% 78.45/50.72 (~node17(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9988, 9981])).
% 78.45/50.72 tff(9990,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9991,plain,
% 78.45/50.72 ((node17(c_e_h_2, c_h, s2) | node18(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3))) <=> (node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9992,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s2) | node18(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[9991])).
% 78.45/50.72 tff(9993,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s2) | node18(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(transitivity,[status(thm)],[9992, 9990])).
% 78.45/50.72 tff(9994,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s2) | node18(c_e_h_2, c_h, s2, s3) | (~node19(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(9995,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s2) | (~node19(c_e_h_2, c_h, s2, s3)) | node18(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 78.45/50.72 tff(9996,plain,
% 78.45/50.72 (node17(c_e_h_2, c_h, s2) | node18(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9995, 508, 9968])).
% 78.45/50.72 tff(9997,plain,
% 78.45/50.72 (node18(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9996, 9989])).
% 78.45/50.72 tff(9998,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | (~node18(c_e_h_2, c_h, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | (~node18(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(9999,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | (~node18(c_e_h_2, c_h, s2, s3)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10000,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | (~node18(c_e_h_2, c_h, s2, s3))),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[9999, 9998])).
% 78.45/50.72 tff(10001,plain,
% 78.45/50.72 ($false),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10000, 481, 9946, 9997, 9945])).
% 78.45/50.72 tff(10002,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | m_c_h_element_v_in1(c_e_h_2, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.72 tff(10003,plain,
% 78.45/50.72 (m_c_h_element_v_in1(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10002, 9945, 9946])).
% 78.45/50.72 tff(10004,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s2)), introduced(assumption)).
% 78.45/50.72 tff(10005,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s2)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s2)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10006,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s2)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10007,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s2)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2) | (~node17(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 78.45/50.72 tff(10008,plain,
% 78.45/50.72 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s2)) | (~node17(c_e_h_2, c_h, s2))),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10007, 541, 10004])).
% 78.45/50.72 tff(10009,plain,
% 78.45/50.72 (~node17(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10008, 10003])).
% 78.45/50.72 tff(10010,plain,
% 78.45/50.72 (node18(c_e_h_2, c_h, s2, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[9996, 10009])).
% 78.45/50.72 tff(10011,plain,
% 78.45/50.72 ($false),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10000, 481, 9946, 10010, 9945])).
% 78.45/50.72 tff(10012,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s2) | m_c_h_element_v_in2(c_e_h_2, c_h, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.72 tff(10013,plain,
% 78.45/50.72 ((~m_c_h_element_v_out(c_e_h_2, c_h, s3)) | m_c_h_element_v_in2(c_e_h_2, c_h, s2)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10012, 9944])).
% 78.45/50.72 tff(10014,plain,
% 78.45/50.72 (~m_c_h_element_v_out(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10013, 9775])).
% 78.45/50.72 tff(10015,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.72 tff(10016,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s4)), introduced(assumption)).
% 78.45/50.72 tff(10017,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.72 tff(10018,assumption,(node15(c_e_h_2, c_h, s3, s4)), introduced(assumption)).
% 78.45/50.72 tff(10019,plain,
% 78.45/50.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | (~node15(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | (~node15(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10020,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | (~node15(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10021,plain,
% 78.45/50.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | (~node15(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[10020, 10019])).
% 78.45/50.72 tff(10022,plain,
% 78.45/50.72 ($false),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10021, 612, 10018, 10016, 10015])).
% 78.45/50.72 tff(10023,plain,((~node15(c_e_h_2, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.72 tff(10024,plain,
% 78.45/50.72 (~node15(c_e_h_2, c_h, s3, s4)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10023, 10015, 10016])).
% 78.45/50.72 tff(10025,assumption,(node17(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.72 tff(10026,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10027,plain,
% 78.45/50.72 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10028,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3))))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[10027])).
% 78.45/50.72 tff(10029,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(transitivity,[status(thm)],[10028, 10026])).
% 78.45/50.72 tff(10030,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10031,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 78.45/50.72 tff(10032,plain,
% 78.45/50.72 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10031, 541, 10017])).
% 78.45/50.72 tff(10033,plain,
% 78.45/50.72 (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10032, 10025])).
% 78.45/50.72 tff(10034,assumption,(~node15(c_e_h_2, c_h, s3, s4)), introduced(assumption)).
% 78.45/50.72 tff(10035,assumption,(node16(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.72 tff(10036,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s3)), introduced(assumption)).
% 78.45/50.72 tff(10037,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | m_c_h_element_v_in2(c_e_h_2, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | m_c_h_element_v_in2(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10038,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | m_c_h_element_v_in2(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10039,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 78.45/50.72 tff(10040,plain,
% 78.45/50.72 (m_c_h_element_v_in1(c_e_h_2, c_h, s3) | m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10039, 559, 10035])).
% 78.45/50.72 tff(10041,plain,
% 78.45/50.72 (m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10040, 10036])).
% 78.45/50.72 tff(10042,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10043,plain,
% 78.45/50.72 ((m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10044,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3))))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[10043])).
% 78.45/50.72 tff(10045,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(transitivity,[status(thm)],[10044, 10042])).
% 78.45/50.72 tff(10046,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~node17(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(quant_inst,[status(thm)],[])).
% 78.45/50.72 tff(10047,plain,
% 78.45/50.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3))),
% 78.45/50.72 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 78.45/50.72 tff(10048,plain,
% 78.45/50.72 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10047, 1172, 10025])).
% 78.45/50.72 tff(10049,plain,
% 78.45/50.72 ($false),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10048, 10041, 10036])).
% 78.45/50.72 tff(10050,plain,(m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node17(c_e_h_2, c_h, s3)) | (~node16(c_e_h_2, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.72 tff(10051,plain,
% 78.45/50.72 (m_c_h_element_v_in1(c_e_h_2, c_h, s3)),
% 78.45/50.72 inference(unit_resolution,[status(thm)],[10050, 10025, 10035])).
% 78.45/50.72 tff(10052,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10053,plain,
% 78.45/50.72 (((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3))) <=> ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)))),
% 78.45/50.72 inference(rewrite,[status(thm)],[])).
% 78.45/50.72 tff(10054,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3))))),
% 78.45/50.72 inference(monotonicity,[status(thm)],[10053])).
% 78.45/50.72 tff(10055,plain,
% 78.45/50.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10054, 10052])).
% 78.45/50.73 tff(10056,plain,
% 78.45/50.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10057,plain,
% 78.45/50.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3))),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 78.45/50.73 tff(10058,plain,
% 78.45/50.73 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3))),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10057, 1192, 10035])).
% 78.45/50.73 tff(10059,plain,
% 78.45/50.73 (~m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10058, 10051])).
% 78.45/50.73 tff(10060,plain,
% 78.45/50.73 (m_c_h_element_v_in2(c_e_h_2, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s3))),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10031, 541, 10025])).
% 78.45/50.73 tff(10061,plain,
% 78.45/50.73 ($false),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10060, 10059, 10051])).
% 78.45/50.73 tff(10062,plain,((~node17(c_e_h_2, c_h, s3)) | (~node16(c_e_h_2, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.73 tff(10063,plain,
% 78.45/50.73 (~node16(c_e_h_2, c_h, s3)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10062, 10025])).
% 78.45/50.73 tff(10064,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_2, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10065,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10066,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 78.45/50.73 tff(10067,plain,
% 78.45/50.73 (node19(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10066, 494, 711])).
% 78.45/50.73 tff(10068,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10069,plain,
% 78.45/50.73 ((node16(c_e_h_2, c_h, s3) | node14(c_e_h_2, c_h, s3, s4) | node15(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4))) <=> (node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10070,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s3) | node14(c_e_h_2, c_h, s3, s4) | node15(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(monotonicity,[status(thm)],[10069])).
% 78.45/50.73 tff(10071,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s3) | node14(c_e_h_2, c_h, s3, s4) | node15(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10070, 10068])).
% 78.45/50.73 tff(10072,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s3) | node14(c_e_h_2, c_h, s3, s4) | node15(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10073,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | (~node19(c_e_h_2, c_h, s3, s4)) | node15(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 78.45/50.73 tff(10074,plain,
% 78.45/50.73 (node14(c_e_h_2, c_h, s3, s4) | node16(c_e_h_2, c_h, s3) | node15(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10073, 594, 10067])).
% 78.45/50.73 tff(10075,plain,
% 78.45/50.73 (node14(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10074, 10063, 10034])).
% 78.45/50.73 tff(10076,assumption,(node14(c_e_h_2, c_h, s3, s4)), introduced(assumption)).
% 78.45/50.73 tff(10077,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10078,plain,
% 78.45/50.73 (((~node14(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10079,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4))))),
% 78.45/50.73 inference(monotonicity,[status(thm)],[10078])).
% 78.45/50.73 tff(10080,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10079, 10077])).
% 78.45/50.73 tff(10081,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10082,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~node14(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 78.45/50.73 tff(10083,plain,
% 78.45/50.73 ($false),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10082, 575, 10076, 10036, 10016])).
% 78.45/50.73 tff(10084,plain,((~node14(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.73 tff(10085,plain,
% 78.45/50.73 ($false),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10084, 10075, 10033, 10016])).
% 78.45/50.73 tff(10086,plain,((~node17(c_e_h_2, c_h, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | node15(c_e_h_2, c_h, s3, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.73 tff(10087,plain,
% 78.45/50.73 (~node17(c_e_h_2, c_h, s3)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10086, 10024, 10016, 10017])).
% 78.45/50.73 tff(10088,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10089,plain,
% 78.45/50.73 ((node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4))) <=> ((~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10090,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(monotonicity,[status(thm)],[10089])).
% 78.45/50.73 tff(10091,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10090, 10088])).
% 78.45/50.73 tff(10092,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4) | (~node19(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10093,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s3, s4)) | node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 78.45/50.73 tff(10094,plain,
% 78.45/50.73 (node17(c_e_h_2, c_h, s3) | node18(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10093, 508, 10067])).
% 78.45/50.73 tff(10095,plain,
% 78.45/50.73 (node18(c_e_h_2, c_h, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10094, 10087])).
% 78.45/50.73 tff(10096,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10097,plain,
% 78.45/50.73 (((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~node18(c_e_h_2, c_h, s3, s4))) <=> ((~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10098,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~node18(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4))))),
% 78.45/50.73 inference(monotonicity,[status(thm)],[10097])).
% 78.45/50.73 tff(10099,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~node18(c_e_h_2, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10098, 10096])).
% 78.45/50.73 tff(10100,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~node18(c_e_h_2, c_h, s3, s4)))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10101,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4))),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 78.45/50.73 tff(10102,plain,
% 78.45/50.73 ($false),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10101, 481, 10095, 10016, 10015])).
% 78.45/50.73 tff(10103,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s3) | (~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.73 tff(10104,plain,
% 78.45/50.73 ((~m_c_h_element_v_out(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s3)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10103, 10014])).
% 78.45/50.73 tff(10105,plain,
% 78.45/50.73 (~m_c_h_element_v_out(c_e_h_2, c_h, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10104, 9771])).
% 78.45/50.73 tff(10106,plain,
% 78.45/50.73 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)) | m_cell_v_ack(c_e_h_2, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)) | m_cell_v_ack(c_e_h_2, s3))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10107,plain,
% 78.45/50.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)) | m_cell_v_ack(c_e_h_2, s3))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10108,plain,
% 78.45/50.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)) | m_cell_v_ack(c_e_h_2, s3)),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 78.45/50.73 tff(10109,plain,
% 78.45/50.73 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10108, 1820, 7154])).
% 78.45/50.73 tff(10110,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s3)), introduced(assumption)).
% 78.45/50.73 tff(10111,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s4)), introduced(assumption)).
% 78.45/50.73 tff(10112,assumption,(node6(c_e_h_2, c_j, s3, s4)), introduced(assumption)).
% 78.45/50.73 tff(10113,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10114,plain,
% 78.45/50.73 (((~node6(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10115,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4))))),
% 78.45/50.73 inference(monotonicity,[status(thm)],[10114])).
% 78.45/50.73 tff(10116,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.73 inference(transitivity,[status(thm)],[10115, 10113])).
% 78.45/50.73 tff(10117,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3))),
% 78.45/50.73 inference(quant_inst,[status(thm)],[])).
% 78.45/50.73 tff(10118,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | (~node6(c_e_h_2, c_j, s3, s4))),
% 78.45/50.73 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 78.45/50.73 tff(10119,plain,
% 78.45/50.73 ($false),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10118, 1851, 10111, 10110, 10112])).
% 78.45/50.73 tff(10120,plain,((~node6(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.73 tff(10121,plain,
% 78.45/50.73 (~node6(c_e_h_2, c_j, s3, s4)),
% 78.45/50.73 inference(unit_resolution,[status(thm)],[10120, 10111, 10110])).
% 78.45/50.73 tff(10122,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s3)), introduced(assumption)).
% 78.45/50.73 tff(10123,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s3)), introduced(assumption)).
% 78.45/50.73 tff(10124,assumption,(node21(c_e_h_2, c_l, s2, s3)), introduced(assumption)).
% 78.45/50.73 tff(10125,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)), introduced(assumption)).
% 78.45/50.73 tff(10126,assumption,(node11(c_e_h_2, c_m, s1, s2)), introduced(assumption)).
% 78.45/50.73 tff(10127,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)), introduced(assumption)).
% 78.45/50.73 tff(10128,plain,
% 78.45/50.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node11(c_e_h_2, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node11(c_e_h_2, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.45/50.73 inference(rewrite,[status(thm)],[])).
% 78.45/50.73 tff(10129,plain,
% 78.45/50.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node11(c_e_h_2, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10130,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node11(c_e_h_2, c_m, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10129, 10128])).
% 78.45/50.74 tff(10131,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10130, 282, 10125, 10127, 10126])).
% 78.45/50.74 tff(10132,plain,((~node11(c_e_h_2, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10133,plain,
% 78.45/50.74 ((~node11(c_e_h_2, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10132, 9716])).
% 78.45/50.74 tff(10134,plain,
% 78.45/50.74 (~node11(c_e_h_2, c_m, s1, s2)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10133, 10125])).
% 78.45/50.74 tff(10135,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)), introduced(assumption)).
% 78.45/50.74 tff(10136,assumption,(node11(c_e_h_2, c_n, s0, s1)), introduced(assumption)).
% 78.45/50.74 tff(10137,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10138,plain,
% 78.45/50.74 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10139,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1))))),
% 78.45/50.74 inference(monotonicity,[status(thm)],[10138])).
% 78.45/50.74 tff(10140,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(transitivity,[status(thm)],[10139, 10137])).
% 78.45/50.74 tff(10141,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10142,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~node11(c_e_h_2, c_n, s0, s1))),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 78.45/50.74 tff(10143,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10142, 208, 9687, 10135, 10136])).
% 78.45/50.74 tff(10144,plain,((~node11(c_e_h_2, c_n, s0, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10145,plain,
% 78.45/50.74 (~node11(c_e_h_2, c_n, s0, s1)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10144, 10135])).
% 78.45/50.74 tff(10146,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_2, c_n, s0, s1) | node11(c_e_h_2, c_n, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_2, c_n, s0, s1) | node11(c_e_h_2, c_n, s0, s1))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10147,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s0, s1)) | node10(c_e_h_2, c_n, s0, s1) | node11(c_e_h_2, c_n, s0, s1))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10148,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s0, s1)) | node10(c_e_h_2, c_n, s0, s1) | node11(c_e_h_2, c_n, s0, s1)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 78.45/50.74 tff(10149,plain,
% 78.45/50.74 (node10(c_e_h_2, c_n, s0, s1) | node11(c_e_h_2, c_n, s0, s1)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10148, 193, 183])).
% 78.45/50.74 tff(10150,plain,
% 78.45/50.74 (node10(c_e_h_2, c_n, s0, s1)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10149, 10145])).
% 78.45/50.74 tff(10151,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s0)), introduced(assumption)).
% 78.45/50.74 tff(10152,plain,
% 78.45/50.74 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10153,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10152, 135, 10151])).
% 78.45/50.74 tff(10154,plain,(~m_c_h_element_v_out(c_e_h_2, c_e, s0)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10155,plain,
% 78.45/50.74 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0) | m_c_h_element_v_out(c_e_h_2, c_e, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10156,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10157,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0) | m_c_h_element_v_out(c_e_h_2, c_e, s0)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 78.45/50.74 tff(10158,plain,
% 78.45/50.74 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0) | m_c_h_element_v_out(c_e_h_2, c_e, s0)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10157, 3964])).
% 78.45/50.74 tff(10159,plain,
% 78.45/50.74 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10158, 10154])).
% 78.45/50.74 tff(10160,plain,
% 78.45/50.74 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10161,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10162,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10161, 10160])).
% 78.45/50.74 tff(10163,plain,
% 78.45/50.74 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s0)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10162, 3976])).
% 78.45/50.74 tff(10164,plain,
% 78.45/50.74 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10163, 9606])).
% 78.45/50.74 tff(10165,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10166,plain,
% 78.45/50.74 (((~node10(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10167,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1))))),
% 78.45/50.74 inference(monotonicity,[status(thm)],[10166])).
% 78.45/50.74 tff(10168,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1)))),
% 78.45/50.74 inference(transitivity,[status(thm)],[10167, 10165])).
% 78.45/50.74 tff(10169,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s0, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10170,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s0)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s0)) | (~node10(c_e_h_2, c_n, s0, s1))),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10169, 10168])).
% 78.45/50.74 tff(10171,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10170, 160, 10164, 10135, 10159, 10150])).
% 78.45/50.74 tff(10172,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10173,plain,
% 78.45/50.74 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10174,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10175,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1))),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 78.45/50.74 tff(10176,plain,
% 78.45/50.74 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10175, 3886, 10172])).
% 78.45/50.74 tff(10177,plain,
% 78.45/50.74 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10178,plain,
% 78.45/50.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10179,plain,
% 78.45/50.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s1)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s1)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 78.45/50.74 tff(10180,plain,
% 78.45/50.74 (~node9(c_e_h_2, c_m, s1)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10179, 238, 10176])).
% 78.45/50.74 tff(10181,assumption,(~node9(c_e_h_2, c_m, s1)), introduced(assumption)).
% 78.45/50.74 tff(10182,assumption,(node10(c_e_h_2, c_m, s1, s2)), introduced(assumption)).
% 78.45/50.74 tff(10183,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10184,plain,
% 78.45/50.74 ((node9(c_e_h_2, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10185,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1)))),
% 78.45/50.74 inference(monotonicity,[status(thm)],[10184])).
% 78.45/50.74 tff(10186,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1))),
% 78.45/50.74 inference(transitivity,[status(thm)],[10185, 10183])).
% 78.45/50.74 tff(10187,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s1) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10188,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | (~node10(c_e_h_2, c_m, s1, s2)) | node9(c_e_h_2, c_m, s1)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 78.45/50.74 tff(10189,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10188, 252, 10125, 10182, 10181])).
% 78.45/50.74 tff(10190,plain,((~node10(c_e_h_2, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)) | node9(c_e_h_2, c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10191,plain,
% 78.45/50.74 ((~node10(c_e_h_2, c_m, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10190, 10180])).
% 78.45/50.74 tff(10192,plain,
% 78.45/50.74 (~node10(c_e_h_2, c_m, s1, s2)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10191, 10125])).
% 78.45/50.74 tff(10193,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_2, c_m, s1, s2) | node11(c_e_h_2, c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_2, c_m, s1, s2) | node11(c_e_h_2, c_m, s1, s2))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10194,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_2, c_m, s1, s2) | node11(c_e_h_2, c_m, s1, s2))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10195,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_2, c_m, s1, s2) | node11(c_e_h_2, c_m, s1, s2)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 78.45/50.74 tff(10196,plain,
% 78.45/50.74 (node10(c_e_h_2, c_m, s1, s2) | node11(c_e_h_2, c_m, s1, s2)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10195, 193, 265])).
% 78.45/50.74 tff(10197,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10196, 10192, 10134])).
% 78.45/50.74 tff(10198,plain,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10199,plain,
% 78.45/50.74 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10200,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10201,plain,
% 78.45/50.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 78.45/50.74 tff(10202,plain,
% 78.45/50.74 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s2)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10201, 3838, 10198])).
% 78.45/50.74 tff(10203,plain,
% 78.45/50.74 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s2))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10204,plain,
% 78.45/50.74 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s2))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10205,plain,
% 78.45/50.74 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s2)),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 78.45/50.74 tff(10206,plain,
% 78.45/50.74 (~node20(c_e_h_2, c_l, s2)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10205, 334, 10202])).
% 78.45/50.74 tff(10207,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10208,plain,
% 78.45/50.74 ((node20(c_e_h_2, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node21(c_e_h_2, c_l, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3)))),
% 78.45/50.74 inference(rewrite,[status(thm)],[])).
% 78.45/50.74 tff(10209,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node21(c_e_h_2, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3))))),
% 78.45/50.74 inference(monotonicity,[status(thm)],[10208])).
% 78.45/50.74 tff(10210,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node21(c_e_h_2, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3)))),
% 78.45/50.74 inference(transitivity,[status(thm)],[10209, 10207])).
% 78.45/50.74 tff(10211,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node21(c_e_h_2, c_l, s2, s3)))),
% 78.45/50.74 inference(quant_inst,[status(thm)],[])).
% 78.45/50.74 tff(10212,plain,
% 78.45/50.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | node20(c_e_h_2, c_l, s2) | (~node21(c_e_h_2, c_l, s2, s3))),
% 78.45/50.74 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 78.45/50.74 tff(10213,plain,
% 78.45/50.74 ($false),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10212, 348, 10206, 10124, 10123])).
% 78.45/50.74 tff(10214,plain,((~node21(c_e_h_2, c_l, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.74 tff(10215,plain,
% 78.45/50.74 (~node21(c_e_h_2, c_l, s2, s3)),
% 78.45/50.74 inference(unit_resolution,[status(thm)],[10214, 10123])).
% 78.45/50.74 tff(10216,plain,
% 78.45/50.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_l, s2, s3) | node22(c_e_h_2, c_l, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_l, s2, s3) | node22(c_e_h_2, c_l, s2, s3))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10217,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_l, s2, s3) | node22(c_e_h_2, c_l, s2, s3))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10218,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_l, s2, s3) | node22(c_e_h_2, c_l, s2, s3)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 78.45/50.75 tff(10219,plain,
% 78.45/50.75 (node21(c_e_h_2, c_l, s2, s3) | node22(c_e_h_2, c_l, s2, s3)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10218, 383, 463])).
% 78.45/50.75 tff(10220,plain,
% 78.45/50.75 (node22(c_e_h_2, c_l, s2, s3)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10219, 10215])).
% 78.45/50.75 tff(10221,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node22(c_e_h_2, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node22(c_e_h_2, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10222,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node22(c_e_h_2, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10223,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s3)) | (~node22(c_e_h_2, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s2)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 78.45/50.75 tff(10224,plain,
% 78.45/50.75 ($false),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10223, 437, 10220, 10123, 9743])).
% 78.45/50.75 tff(10225,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.75 tff(10226,plain,
% 78.45/50.75 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10227,plain,
% 78.45/50.75 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10228,plain,
% 78.45/50.75 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 78.45/50.75 tff(10229,plain,
% 78.45/50.75 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10228, 1835, 10225])).
% 78.45/50.75 tff(10230,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s3)), introduced(assumption)).
% 78.45/50.75 tff(10231,assumption,(node5(c_e_h_2, c_j, s3, s4)), introduced(assumption)).
% 78.45/50.75 tff(10232,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10233,plain,
% 78.45/50.75 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10234,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4))))),
% 78.45/50.75 inference(monotonicity,[status(thm)],[10233])).
% 78.45/50.75 tff(10235,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.75 inference(transitivity,[status(thm)],[10234, 10232])).
% 78.45/50.75 tff(10236,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10237,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3) | (~node5(c_e_h_2, c_j, s3, s4))),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 78.45/50.75 tff(10238,plain,
% 78.45/50.75 ($false),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10237, 1888, 10111, 10231, 10122, 10230])).
% 78.45/50.75 tff(10239,plain,((~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_in1(c_e_h_2, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.75 tff(10240,plain,
% 78.45/50.75 ((~node5(c_e_h_2, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10239, 10229])).
% 78.45/50.75 tff(10241,plain,
% 78.45/50.75 (~node5(c_e_h_2, c_j, s3, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10240, 10111, 10122])).
% 78.45/50.75 tff(10242,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10243,plain,
% 78.45/50.75 ((node6(c_e_h_2, c_j, s3, s4) | node5(c_e_h_2, c_j, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10244,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s3, s4) | node5(c_e_h_2, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4)))),
% 78.45/50.75 inference(monotonicity,[status(thm)],[10243])).
% 78.45/50.75 tff(10245,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s3, s4) | node5(c_e_h_2, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4))),
% 78.45/50.75 inference(transitivity,[status(thm)],[10244, 10242])).
% 78.45/50.75 tff(10246,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s3, s4) | node5(c_e_h_2, c_j, s3, s4) | (~trans(s3, s4)))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10247,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 78.45/50.75 tff(10248,plain,
% 78.45/50.75 (node5(c_e_h_2, c_j, s3, s4) | node6(c_e_h_2, c_j, s3, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10247, 1870, 711])).
% 78.45/50.75 tff(10249,plain,
% 78.45/50.75 ($false),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10248, 10241, 10121])).
% 78.45/50.75 tff(10250,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s3) | m_or_h_gate_v_out(c_e_h_2, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.75 tff(10251,plain,
% 78.45/50.75 (~m_or_h_gate_v_out(c_e_h_2, c_j, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10250, 9767, 10109])).
% 78.45/50.75 tff(10252,plain,
% 78.45/50.75 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10253,plain,
% 78.45/50.75 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10254,plain,
% 78.45/50.75 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s4)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 78.45/50.75 tff(10255,plain,
% 78.45/50.75 (~m_c_h_element_v_in2(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10254, 1740, 10251])).
% 78.45/50.75 tff(10256,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s4)), introduced(assumption)).
% 78.45/50.75 tff(10257,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s4)), introduced(assumption)).
% 78.45/50.75 tff(10258,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s5)), introduced(assumption)).
% 78.45/50.75 tff(10259,assumption,(node15(c_e_h_2, c_h, s4, s5)), introduced(assumption)).
% 78.45/50.75 tff(10260,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node15(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node15(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10261,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node15(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10262,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node15(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 78.45/50.75 tff(10263,plain,
% 78.45/50.75 ($false),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10262, 612, 10258, 10259, 10256])).
% 78.45/50.75 tff(10264,plain,((~node15(c_e_h_2, c_h, s4, s5)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.75 tff(10265,plain,
% 78.45/50.75 (~node15(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10264, 10258, 10256])).
% 78.45/50.75 tff(10266,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s4)), introduced(assumption)).
% 78.45/50.75 tff(10267,assumption,(~node15(c_e_h_2, c_h, s4, s5)), introduced(assumption)).
% 78.45/50.75 tff(10268,plain,
% 78.45/50.75 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10269,plain,
% 78.45/50.75 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10270,plain,
% 78.45/50.75 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10269, 10268])).
% 78.45/50.75 tff(10271,plain,
% 78.45/50.75 ((~node16(c_e_h_2, c_h, s4)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10270, 559, 10257])).
% 78.45/50.75 tff(10272,plain,
% 78.45/50.75 (~node16(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10271, 10266])).
% 78.45/50.75 tff(10273,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_2, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10274,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10275,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 78.45/50.75 tff(10276,plain,
% 78.45/50.75 (node19(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10275, 494, 930])).
% 78.45/50.75 tff(10277,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10278,plain,
% 78.45/50.75 ((node16(c_e_h_2, c_h, s4) | node14(c_e_h_2, c_h, s4, s5) | node15(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5))) <=> (node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10279,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s4) | node14(c_e_h_2, c_h, s4, s5) | node15(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.75 inference(monotonicity,[status(thm)],[10278])).
% 78.45/50.75 tff(10280,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s4) | node14(c_e_h_2, c_h, s4, s5) | node15(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(transitivity,[status(thm)],[10279, 10277])).
% 78.45/50.75 tff(10281,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s4) | node14(c_e_h_2, c_h, s4, s5) | node15(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10282,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10281, 10280])).
% 78.45/50.75 tff(10283,plain,
% 78.45/50.75 (node16(c_e_h_2, c_h, s4) | node15(c_e_h_2, c_h, s4, s5) | node14(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10282, 594, 10276])).
% 78.45/50.75 tff(10284,plain,
% 78.45/50.75 (node14(c_e_h_2, c_h, s4, s5)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10283, 10272, 10267])).
% 78.45/50.75 tff(10285,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10286,plain,
% 78.45/50.75 (((~node14(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10287,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5))))),
% 78.45/50.75 inference(monotonicity,[status(thm)],[10286])).
% 78.45/50.75 tff(10288,plain,
% 78.45/50.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.75 inference(transitivity,[status(thm)],[10287, 10285])).
% 78.45/50.75 tff(10289,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10290,plain,
% 78.45/50.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~node14(c_e_h_2, c_h, s4, s5))),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10289, 10288])).
% 78.45/50.75 tff(10291,plain,
% 78.45/50.75 ($false),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10290, 575, 10258, 10284, 10266])).
% 78.45/50.75 tff(10292,plain,(m_c_h_element_v_in1(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | node15(c_e_h_2, c_h, s4, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.75 tff(10293,plain,
% 78.45/50.75 (m_c_h_element_v_in1(c_e_h_2, c_h, s4)),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10292, 10258, 10265, 10257])).
% 78.45/50.75 tff(10294,plain,
% 78.45/50.75 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10295,plain,
% 78.45/50.75 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4)))),
% 78.45/50.75 inference(rewrite,[status(thm)],[])).
% 78.45/50.75 tff(10296,plain,
% 78.45/50.75 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4))))),
% 78.45/50.75 inference(monotonicity,[status(thm)],[10295])).
% 78.45/50.75 tff(10297,plain,
% 78.45/50.75 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4)))),
% 78.45/50.75 inference(transitivity,[status(thm)],[10296, 10294])).
% 78.45/50.75 tff(10298,plain,
% 78.45/50.75 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s4)) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)))),
% 78.45/50.75 inference(quant_inst,[status(thm)],[])).
% 78.45/50.75 tff(10299,plain,
% 78.45/50.75 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s4) | (~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(modus_ponens,[status(thm)],[10298, 10297])).
% 78.45/50.75 tff(10300,plain,
% 78.45/50.75 ((~node17(c_e_h_2, c_h, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s4))),
% 78.45/50.75 inference(unit_resolution,[status(thm)],[10299, 541, 10257])).
% 78.45/50.76 tff(10301,plain,
% 78.45/50.76 (~node17(c_e_h_2, c_h, s4)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10300, 10293])).
% 78.45/50.76 tff(10302,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10303,plain,
% 78.45/50.76 ((node17(c_e_h_2, c_h, s4) | node18(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5))) <=> (node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10304,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s4) | node18(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(monotonicity,[status(thm)],[10303])).
% 78.45/50.76 tff(10305,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s4) | node18(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5))),
% 78.45/50.76 inference(transitivity,[status(thm)],[10304, 10302])).
% 78.45/50.76 tff(10306,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s4) | node18(c_e_h_2, c_h, s4, s5) | (~node19(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10307,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s4) | (~node19(c_e_h_2, c_h, s4, s5)) | node18(c_e_h_2, c_h, s4, s5)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10306, 10305])).
% 78.45/50.76 tff(10308,plain,
% 78.45/50.76 (node17(c_e_h_2, c_h, s4) | node18(c_e_h_2, c_h, s4, s5)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10307, 508, 10276])).
% 78.45/50.76 tff(10309,plain,
% 78.45/50.76 (node18(c_e_h_2, c_h, s4, s5)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10308, 10301])).
% 78.45/50.76 tff(10310,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10311,plain,
% 78.45/50.76 (((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~node18(c_e_h_2, c_h, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10312,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~node18(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5))))),
% 78.45/50.76 inference(monotonicity,[status(thm)],[10311])).
% 78.45/50.76 tff(10313,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~node18(c_e_h_2, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(transitivity,[status(thm)],[10312, 10310])).
% 78.45/50.76 tff(10314,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~node18(c_e_h_2, c_h, s4, s5)))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10315,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | (~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | (~node18(c_e_h_2, c_h, s4, s5))),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 78.45/50.76 tff(10316,plain,
% 78.45/50.76 ($false),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10315, 481, 10258, 10309, 10256])).
% 78.45/50.76 tff(10317,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s4) | m_c_h_element_v_in2(c_e_h_2, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.76 tff(10318,plain,
% 78.45/50.76 (~m_c_h_element_v_out(c_e_h_2, c_h, s5)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10317, 10255, 10105])).
% 78.45/50.76 tff(10319,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.45/50.76 tff(10320,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s2)), introduced(assumption)).
% 78.45/50.76 tff(10321,plain,
% 78.45/50.76 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10322,plain,
% 78.45/50.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10323,plain,
% 78.45/50.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s2)) | m_and_h_gate_v_out(c_e_h_1, c_i, s2)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 78.45/50.76 tff(10324,plain,
% 78.45/50.76 (~m_c_h_element_v_in2(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10323, 527, 4776])).
% 78.45/50.76 tff(10325,plain,
% 78.45/50.76 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | m_c_h_element_v_in2(c_e_h_1, c_f, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | m_c_h_element_v_in2(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10326,plain,
% 78.45/50.76 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | m_c_h_element_v_in2(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10327,plain,
% 78.45/50.76 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | m_c_h_element_v_in2(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 78.45/50.76 tff(10328,plain,
% 78.45/50.76 ((~node16(c_e_h_1, c_f, s2)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10327, 559, 10324])).
% 78.45/50.76 tff(10329,plain,
% 78.45/50.76 (~node16(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10328, 10320])).
% 78.45/50.76 tff(10330,assumption,(~node16(c_e_h_1, c_f, s2)), introduced(assumption)).
% 78.45/50.76 tff(10331,assumption,(node15(c_e_h_1, c_f, s2, s3)), introduced(assumption)).
% 78.45/50.76 tff(10332,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s2)), introduced(assumption)).
% 78.45/50.76 tff(10333,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node15(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node15(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10334,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node15(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10335,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node15(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 78.45/50.76 tff(10336,plain,
% 78.45/50.76 ($false),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10335, 612, 10319, 10332, 10331])).
% 78.45/50.76 tff(10337,plain,((~node15(c_e_h_1, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.76 tff(10338,plain,
% 78.45/50.76 ((~node15(c_e_h_1, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3))),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10337, 7048])).
% 78.45/50.76 tff(10339,plain,
% 78.45/50.76 (~node15(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10338, 10319])).
% 78.45/50.76 tff(10340,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_f, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10341,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10342,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 78.45/50.76 tff(10343,plain,
% 78.45/50.76 (node19(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10342, 494, 463])).
% 78.45/50.76 tff(10344,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10345,plain,
% 78.45/50.76 ((node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | node15(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3))) <=> (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10346,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | node15(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.76 inference(monotonicity,[status(thm)],[10345])).
% 78.45/50.76 tff(10347,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | node15(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(transitivity,[status(thm)],[10346, 10344])).
% 78.45/50.76 tff(10348,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | node15(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10349,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)) | node15(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 78.45/50.76 tff(10350,plain,
% 78.45/50.76 (node16(c_e_h_1, c_f, s2) | node14(c_e_h_1, c_f, s2, s3) | node15(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10349, 594, 10343])).
% 78.45/50.76 tff(10351,plain,
% 78.45/50.76 (node14(c_e_h_1, c_f, s2, s3)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10350, 10339, 10330])).
% 78.45/50.76 tff(10352,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10353,plain,
% 78.45/50.76 (((~node14(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10354,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3))))),
% 78.45/50.76 inference(monotonicity,[status(thm)],[10353])).
% 78.45/50.76 tff(10355,plain,
% 78.45/50.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.76 inference(transitivity,[status(thm)],[10354, 10352])).
% 78.45/50.76 tff(10356,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10357,plain,
% 78.45/50.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~node14(c_e_h_1, c_f, s2, s3))),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 78.45/50.76 tff(10358,plain,
% 78.45/50.76 ($false),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10357, 575, 10319, 10351, 10320])).
% 78.45/50.76 tff(10359,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s2) | node16(c_e_h_1, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.76 tff(10360,plain,
% 78.45/50.76 ($false),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10359, 10329, 10320, 10319])).
% 78.45/50.76 tff(10361,plain,(m_c_h_element_v_in1(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 78.45/50.76 tff(10362,plain,
% 78.45/50.76 (m_c_h_element_v_in1(c_e_h_1, c_f, s2)),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10361, 10319])).
% 78.45/50.76 tff(10363,plain,
% 78.45/50.76 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10364,plain,
% 78.45/50.76 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~node17(c_e_h_1, c_f, s2))) <=> (m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2)))),
% 78.45/50.76 inference(rewrite,[status(thm)],[])).
% 78.45/50.76 tff(10365,plain,
% 78.45/50.76 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~node17(c_e_h_1, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2))))),
% 78.45/50.76 inference(monotonicity,[status(thm)],[10364])).
% 78.45/50.76 tff(10366,plain,
% 78.45/50.76 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~node17(c_e_h_1, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2)))),
% 78.45/50.76 inference(transitivity,[status(thm)],[10365, 10363])).
% 78.45/50.76 tff(10367,plain,
% 78.45/50.76 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~node17(c_e_h_1, c_f, s2)))),
% 78.45/50.76 inference(quant_inst,[status(thm)],[])).
% 78.45/50.76 tff(10368,plain,
% 78.45/50.76 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s2) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 78.45/50.76 tff(10369,plain,
% 78.45/50.76 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s2)) | (~node17(c_e_h_1, c_f, s2))),
% 78.45/50.76 inference(unit_resolution,[status(thm)],[10368, 541, 10324])).
% 78.45/50.77 tff(10370,plain,
% 78.45/50.77 (~node17(c_e_h_1, c_f, s2)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10369, 10362])).
% 78.45/50.77 tff(10371,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s2) | node18(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s2) | node18(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10372,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s2) | node18(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10373,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s2) | node18(c_e_h_1, c_f, s2, s3) | (~node19(c_e_h_1, c_f, s2, s3))),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 78.45/50.77 tff(10374,plain,
% 78.45/50.77 (node17(c_e_h_1, c_f, s2) | node18(c_e_h_1, c_f, s2, s3)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10373, 508, 10343])).
% 78.45/50.77 tff(10375,plain,
% 78.45/50.77 (node18(c_e_h_1, c_f, s2, s3)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10374, 10370])).
% 78.45/50.77 tff(10376,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10377,plain,
% 78.45/50.77 (((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~node18(c_e_h_1, c_f, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10378,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~node18(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3))))),
% 78.45/50.77 inference(monotonicity,[status(thm)],[10377])).
% 78.45/50.77 tff(10379,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~node18(c_e_h_1, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(transitivity,[status(thm)],[10378, 10376])).
% 78.45/50.77 tff(10380,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~node18(c_e_h_1, c_f, s2, s3)))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10381,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s2) | (~m_c_h_element_v_out(c_e_h_1, c_f, s3)) | (~node18(c_e_h_1, c_f, s2, s3))),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 78.45/50.77 tff(10382,plain,
% 78.45/50.77 ($false),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10381, 481, 10319, 7048, 10375])).
% 78.45/50.77 tff(10383,plain,(~m_c_h_element_v_out(c_e_h_1, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.77 tff(10384,plain,
% 78.45/50.77 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10385,plain,
% 78.45/50.77 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10386,plain,
% 78.45/50.77 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s3)) | m_c_h_element_v_out(c_e_h_1, c_f, s3)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 78.45/50.77 tff(10387,plain,
% 78.45/50.77 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s3)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10386, 397, 10383])).
% 78.45/50.77 tff(10388,plain,
% 78.45/50.77 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s3))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10389,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s3))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10390,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s3)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 78.45/50.77 tff(10391,plain,
% 78.45/50.77 (~node20(c_e_h_1, c_q, s3)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10390, 22, 10387])).
% 78.45/50.77 tff(10392,assumption,(~node20(c_e_h_1, c_q, s3)), introduced(assumption)).
% 78.45/50.77 tff(10393,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s3)), introduced(assumption)).
% 78.45/50.77 tff(10394,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s4)), introduced(assumption)).
% 78.45/50.77 tff(10395,assumption,(node22(c_e_h_1, c_q, s3, s4)), introduced(assumption)).
% 78.45/50.77 tff(10396,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node22(c_e_h_1, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node22(c_e_h_1, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10397,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node22(c_e_h_1, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10398,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node22(c_e_h_1, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 78.45/50.77 tff(10399,plain,
% 78.45/50.77 ($false),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10398, 437, 10394, 10393, 10395])).
% 78.45/50.77 tff(10400,plain,((~node22(c_e_h_1, c_q, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.77 tff(10401,plain,
% 78.45/50.77 (~node22(c_e_h_1, c_q, s3, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10400, 10394, 10393])).
% 78.45/50.77 tff(10402,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_q, s3, s4) | node22(c_e_h_1, c_q, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_q, s3, s4) | node22(c_e_h_1, c_q, s3, s4))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10403,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_q, s3, s4) | node22(c_e_h_1, c_q, s3, s4))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10404,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_q, s3, s4) | node22(c_e_h_1, c_q, s3, s4)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10403, 10402])).
% 78.45/50.77 tff(10405,plain,
% 78.45/50.77 (node21(c_e_h_1, c_q, s3, s4) | node22(c_e_h_1, c_q, s3, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10404, 383, 711])).
% 78.45/50.77 tff(10406,plain,
% 78.45/50.77 (node21(c_e_h_1, c_q, s3, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10405, 10401])).
% 78.45/50.77 tff(10407,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4)))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10408,plain,
% 78.45/50.77 ((node20(c_e_h_1, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node21(c_e_h_1, c_q, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4)))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10409,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node21(c_e_h_1, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4))))),
% 78.45/50.77 inference(monotonicity,[status(thm)],[10408])).
% 78.45/50.77 tff(10410,plain,
% 78.45/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node21(c_e_h_1, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4)))),
% 78.45/50.77 inference(transitivity,[status(thm)],[10409, 10407])).
% 78.45/50.77 tff(10411,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | (~node21(c_e_h_1, c_q, s3, s4)))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10412,plain,
% 78.45/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | (~node21(c_e_h_1, c_q, s3, s4))),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10411, 10410])).
% 78.45/50.77 tff(10413,plain,
% 78.45/50.77 ($false),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10412, 348, 10394, 10406, 10392])).
% 78.45/50.77 tff(10414,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | node20(c_e_h_1, c_q, s3) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 78.45/50.77 tff(10415,plain,
% 78.45/50.77 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s3)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10414, 10391])).
% 78.45/50.77 tff(10416,plain,
% 78.45/50.77 (~m_and_h_gate_v_out(c_e_h_1, c_q, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10415, 7145])).
% 78.45/50.77 tff(10417,plain,
% 78.45/50.77 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s4))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10418,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s4))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10419,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s4)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10418, 10417])).
% 78.45/50.77 tff(10420,plain,
% 78.45/50.77 (node3(c_e_h_1, c_e_h_2, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10419, 2823, 1791])).
% 78.45/50.77 tff(10421,plain,
% 78.45/50.77 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s4)) | (~node3(c_e_h_1, c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s4)) | (~node3(c_e_h_1, c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10422,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s4)) | (~node3(c_e_h_1, c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10423,plain,
% 78.45/50.77 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s4)) | (~node3(c_e_h_1, c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 78.45/50.77 tff(10424,plain,
% 78.45/50.77 ((~m_cell_v_ack(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10423, 1808, 10420])).
% 78.45/50.77 tff(10425,plain,
% 78.45/50.77 (~m_cell_v_ack(c_e_h_2, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10424, 10416])).
% 78.45/50.77 tff(10426,plain,
% 78.45/50.77 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)) | m_cell_v_ack(c_e_h_2, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)) | m_cell_v_ack(c_e_h_2, s4))),
% 78.45/50.77 inference(rewrite,[status(thm)],[])).
% 78.45/50.77 tff(10427,plain,
% 78.45/50.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)) | m_cell_v_ack(c_e_h_2, s4))),
% 78.45/50.77 inference(quant_inst,[status(thm)],[])).
% 78.45/50.77 tff(10428,plain,
% 78.45/50.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)) | m_cell_v_ack(c_e_h_2, s4)),
% 78.45/50.77 inference(modus_ponens,[status(thm)],[10427, 10426])).
% 78.45/50.77 tff(10429,plain,
% 78.45/50.77 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)),
% 78.45/50.77 inference(unit_resolution,[status(thm)],[10428, 1820, 10425])).
% 78.45/50.77 tff(10430,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s3)), introduced(assumption)).
% 78.45/50.77 tff(10431,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s4)), introduced(assumption)).
% 78.45/50.77 tff(10432,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)), introduced(assumption)).
% 78.45/50.77 tff(10433,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s1)), introduced(assumption)).
% 78.45/50.77 tff(10434,plain,
% 78.45/50.77 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10435,plain,
% 78.51/50.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10436,plain,
% 78.51/50.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0)),
% 78.51/50.77 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 78.51/50.77 tff(10437,plain,
% 78.51/50.77 (~m_c_h_element_v_in1(c_e_h_2, c_e, s0)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10436, 4240, 9792])).
% 78.51/50.77 tff(10438,assumption,(node14(c_e_h_2, c_e, s0, s1)), introduced(assumption)).
% 78.51/50.77 tff(10439,plain,
% 78.51/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1)))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10440,plain,
% 78.51/50.77 (((~node14(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1)))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10441,plain,
% 78.51/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1))))),
% 78.51/50.77 inference(monotonicity,[status(thm)],[10440])).
% 78.51/50.77 tff(10442,plain,
% 78.51/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1)))),
% 78.51/50.77 inference(transitivity,[status(thm)],[10441, 10439])).
% 78.51/50.77 tff(10443,plain,
% 78.51/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10444,plain,
% 78.51/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | (~node14(c_e_h_2, c_e, s0, s1))),
% 78.51/50.77 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 78.51/50.77 tff(10445,plain,
% 78.51/50.77 ($false),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10444, 575, 10433, 10438, 10437])).
% 78.51/50.77 tff(10446,plain,((~node14(c_e_h_2, c_e, s0, s1)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.77 tff(10447,plain,
% 78.51/50.77 (~node14(c_e_h_2, c_e, s0, s1)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10446, 10433])).
% 78.51/50.77 tff(10448,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s0)), introduced(assumption)).
% 78.51/50.77 tff(10449,plain,
% 78.51/50.77 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10450,plain,
% 78.51/50.77 ($false),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10449, 424, 10448])).
% 78.51/50.77 tff(10451,plain,(~m_and_h_gate_v_out(c_e_h_2, c_i, s0)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.77 tff(10452,plain,
% 78.51/50.77 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10453,plain,
% 78.51/50.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10454,plain,
% 78.51/50.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0)),
% 78.51/50.77 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 78.51/50.77 tff(10455,plain,
% 78.51/50.77 (~m_c_h_element_v_in2(c_e_h_2, c_e, s0)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10454, 4785, 10451])).
% 78.51/50.77 tff(10456,plain,
% 78.51/50.77 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s0)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | m_c_h_element_v_in2(c_e_h_2, c_e, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s0)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | m_c_h_element_v_in2(c_e_h_2, c_e, s0))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10457,plain,
% 78.51/50.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s0)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | m_c_h_element_v_in2(c_e_h_2, c_e, s0))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10458,plain,
% 78.51/50.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s0)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0) | m_c_h_element_v_in2(c_e_h_2, c_e, s0)),
% 78.51/50.77 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 78.51/50.77 tff(10459,plain,
% 78.51/50.77 ((~node16(c_e_h_2, c_e, s0)) | m_c_h_element_v_in1(c_e_h_2, c_e, s0)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10458, 559, 10455])).
% 78.51/50.77 tff(10460,plain,
% 78.51/50.77 (~node16(c_e_h_2, c_e, s0)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10459, 10437])).
% 78.51/50.77 tff(10461,plain,
% 78.51/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_e, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_e, s0, s1))),
% 78.51/50.77 inference(rewrite,[status(thm)],[])).
% 78.51/50.77 tff(10462,plain,
% 78.51/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_e, s0, s1))),
% 78.51/50.77 inference(quant_inst,[status(thm)],[])).
% 78.51/50.77 tff(10463,plain,
% 78.51/50.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_e, s0, s1)),
% 78.51/50.77 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 78.51/50.77 tff(10464,plain,
% 78.51/50.77 (node19(c_e_h_2, c_e, s0, s1)),
% 78.51/50.77 inference(unit_resolution,[status(thm)],[10463, 494, 183])).
% 78.51/50.77 tff(10465,plain,
% 78.51/50.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10466,plain,
% 78.51/50.78 ((node16(c_e_h_2, c_e, s0) | node14(c_e_h_2, c_e, s0, s1) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1))) <=> (node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10467,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s0) | node14(c_e_h_2, c_e, s0, s1) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1)))),
% 78.51/50.78 inference(monotonicity,[status(thm)],[10466])).
% 78.51/50.78 tff(10468,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s0) | node14(c_e_h_2, c_e, s0, s1) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1))),
% 78.51/50.78 inference(transitivity,[status(thm)],[10467, 10465])).
% 78.51/50.78 tff(10469,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s0) | node14(c_e_h_2, c_e, s0, s1) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10470,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | (~node19(c_e_h_2, c_e, s0, s1)) | node14(c_e_h_2, c_e, s0, s1)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 78.51/50.78 tff(10471,plain,
% 78.51/50.78 (node16(c_e_h_2, c_e, s0) | node15(c_e_h_2, c_e, s0, s1) | node14(c_e_h_2, c_e, s0, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10470, 594, 10464])).
% 78.51/50.78 tff(10472,plain,
% 78.51/50.78 (node15(c_e_h_2, c_e, s0, s1) | node14(c_e_h_2, c_e, s0, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10471, 10460])).
% 78.51/50.78 tff(10473,plain,
% 78.51/50.78 (node15(c_e_h_2, c_e, s0, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10472, 10447])).
% 78.51/50.78 tff(10474,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | (~node15(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | (~node15(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10475,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | (~node15(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10476,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s1)) | (~node15(c_e_h_2, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_e, s0)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10475, 10474])).
% 78.51/50.78 tff(10477,plain,
% 78.51/50.78 ($false),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10476, 612, 10433, 10154, 10473])).
% 78.51/50.78 tff(10478,plain,(~m_c_h_element_v_out(c_e_h_2, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.78 tff(10479,plain,
% 78.51/50.78 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1) | m_c_h_element_v_out(c_e_h_2, c_e, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1) | m_c_h_element_v_out(c_e_h_2, c_e, s1))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10480,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1) | m_c_h_element_v_out(c_e_h_2, c_e, s1))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10481,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1) | m_c_h_element_v_out(c_e_h_2, c_e, s1)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10480, 10479])).
% 78.51/50.78 tff(10482,plain,
% 78.51/50.78 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1) | m_c_h_element_v_out(c_e_h_2, c_e, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10481, 3964])).
% 78.51/50.78 tff(10483,plain,
% 78.51/50.78 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10482, 10478])).
% 78.51/50.78 tff(10484,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)), introduced(assumption)).
% 78.51/50.78 tff(10485,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)), introduced(assumption)).
% 78.51/50.78 tff(10486,plain,
% 78.51/50.78 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10487,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10488,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 78.51/50.78 tff(10489,plain,
% 78.51/50.78 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10488, 3976])).
% 78.51/50.78 tff(10490,plain,
% 78.51/50.78 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10489, 9716])).
% 78.51/50.78 tff(10491,assumption,(node10(c_e_h_2, c_n, s1, s2)), introduced(assumption)).
% 78.51/50.78 tff(10492,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)), introduced(assumption)).
% 78.51/50.78 tff(10493,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10494,plain,
% 78.51/50.78 (((~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10495,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1))))),
% 78.51/50.78 inference(monotonicity,[status(thm)],[10494])).
% 78.51/50.78 tff(10496,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)))),
% 78.51/50.78 inference(transitivity,[status(thm)],[10495, 10493])).
% 78.51/50.78 tff(10497,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10498,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~node10(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1))),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 78.51/50.78 tff(10499,plain,
% 78.51/50.78 ($false),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10498, 160, 10485, 10484, 10492, 10491])).
% 78.51/50.78 tff(10500,plain,((~node10(c_e_h_2, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.78 tff(10501,plain,
% 78.51/50.78 ((~node10(c_e_h_2, c_n, s1, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1))),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10500, 10490])).
% 78.51/50.78 tff(10502,plain,
% 78.51/50.78 (~node10(c_e_h_2, c_n, s1, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10501, 10485, 10484])).
% 78.51/50.78 tff(10503,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_2, c_n, s1, s2) | node11(c_e_h_2, c_n, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_2, c_n, s1, s2) | node11(c_e_h_2, c_n, s1, s2))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10504,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s1, s2)) | node10(c_e_h_2, c_n, s1, s2) | node11(c_e_h_2, c_n, s1, s2))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10505,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s1, s2)) | node10(c_e_h_2, c_n, s1, s2) | node11(c_e_h_2, c_n, s1, s2)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 78.51/50.78 tff(10506,plain,
% 78.51/50.78 (node10(c_e_h_2, c_n, s1, s2) | node11(c_e_h_2, c_n, s1, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10505, 193, 265])).
% 78.51/50.78 tff(10507,plain,
% 78.51/50.78 (node11(c_e_h_2, c_n, s1, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10506, 10502])).
% 78.51/50.78 tff(10508,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2)))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10509,plain,
% 78.51/50.78 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~node11(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2)))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10510,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~node11(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2))))),
% 78.51/50.78 inference(monotonicity,[status(thm)],[10509])).
% 78.51/50.78 tff(10511,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~node11(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2)))),
% 78.51/50.78 inference(transitivity,[status(thm)],[10510, 10508])).
% 78.51/50.78 tff(10512,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~node11(c_e_h_2, c_n, s1, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10513,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s1)) | (~node11(c_e_h_2, c_n, s1, s2))),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10512, 10511])).
% 78.51/50.78 tff(10514,plain,
% 78.51/50.78 ($false),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10513, 208, 10485, 10172, 10507])).
% 78.51/50.78 tff(10515,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.78 tff(10516,plain,
% 78.51/50.78 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10515, 10483])).
% 78.51/50.78 tff(10517,plain,
% 78.51/50.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10518,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10519,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2))),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 78.51/50.78 tff(10520,plain,
% 78.51/50.78 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10519, 3886, 10516])).
% 78.51/50.78 tff(10521,plain,
% 78.51/50.78 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10522,plain,
% 78.51/50.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10523,plain,
% 78.51/50.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s2)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s2)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 78.51/50.78 tff(10524,plain,
% 78.51/50.78 (~node9(c_e_h_2, c_m, s2)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10523, 238, 10520])).
% 78.51/50.78 tff(10525,assumption,(node10(c_e_h_2, c_m, s2, s3)), introduced(assumption)).
% 78.51/50.78 tff(10526,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10527,plain,
% 78.51/50.78 ((node9(c_e_h_2, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10528,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2)))),
% 78.51/50.78 inference(monotonicity,[status(thm)],[10527])).
% 78.51/50.78 tff(10529,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(transitivity,[status(thm)],[10528, 10526])).
% 78.51/50.78 tff(10530,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s2) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10531,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node10(c_e_h_2, c_m, s2, s3)) | node9(c_e_h_2, c_m, s2)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 78.51/50.78 tff(10532,plain,
% 78.51/50.78 ($false),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10531, 252, 10432, 10525, 10524])).
% 78.51/50.78 tff(10533,plain,((~node10(c_e_h_2, c_m, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.78 tff(10534,plain,
% 78.51/50.78 (~node10(c_e_h_2, c_m, s2, s3)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10533, 10432])).
% 78.51/50.78 tff(10535,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_2, c_m, s2, s3) | node11(c_e_h_2, c_m, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_2, c_m, s2, s3) | node11(c_e_h_2, c_m, s2, s3))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10536,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_2, c_m, s2, s3) | node11(c_e_h_2, c_m, s2, s3))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10537,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_2, c_m, s2, s3) | node11(c_e_h_2, c_m, s2, s3)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 78.51/50.78 tff(10538,plain,
% 78.51/50.78 (node10(c_e_h_2, c_m, s2, s3) | node11(c_e_h_2, c_m, s2, s3)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10537, 193, 463])).
% 78.51/50.78 tff(10539,plain,
% 78.51/50.78 (node11(c_e_h_2, c_m, s2, s3)),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10538, 10534])).
% 78.51/50.78 tff(10540,plain,
% 78.51/50.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node11(c_e_h_2, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node11(c_e_h_2, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10541,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node11(c_e_h_2, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.51/50.78 inference(quant_inst,[status(thm)],[])).
% 78.51/50.78 tff(10542,plain,
% 78.51/50.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)) | (~node11(c_e_h_2, c_m, s2, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)),
% 78.51/50.78 inference(modus_ponens,[status(thm)],[10541, 10540])).
% 78.51/50.78 tff(10543,plain,
% 78.51/50.78 ($false),
% 78.51/50.78 inference(unit_resolution,[status(thm)],[10542, 282, 10432, 10198, 10539])).
% 78.51/50.78 tff(10544,plain,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.78 tff(10545,plain,
% 78.51/50.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.51/50.78 inference(rewrite,[status(thm)],[])).
% 78.51/50.78 tff(10546,plain,
% 78.51/50.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10547,plain,
% 78.51/50.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 78.51/50.79 tff(10548,plain,
% 78.51/50.79 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s3)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10547, 3838, 10544])).
% 78.51/50.79 tff(10549,plain,
% 78.51/50.79 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s3))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10550,plain,
% 78.51/50.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s3))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10551,plain,
% 78.51/50.79 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s3)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 78.51/50.79 tff(10552,plain,
% 78.51/50.79 (~node20(c_e_h_2, c_l, s3)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10551, 334, 10548])).
% 78.51/50.79 tff(10553,assumption,(node21(c_e_h_2, c_l, s3, s4)), introduced(assumption)).
% 78.51/50.79 tff(10554,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10555,plain,
% 78.51/50.79 ((node20(c_e_h_2, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node21(c_e_h_2, c_l, s3, s4))) <=> (node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10556,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node21(c_e_h_2, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4))))),
% 78.51/50.79 inference(monotonicity,[status(thm)],[10555])).
% 78.51/50.79 tff(10557,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node21(c_e_h_2, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)))),
% 78.51/50.79 inference(transitivity,[status(thm)],[10556, 10554])).
% 78.51/50.79 tff(10558,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node21(c_e_h_2, c_l, s3, s4)))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10559,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s3) | (~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4))),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 78.51/50.79 tff(10560,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10559, 348, 10553, 10552, 10431])).
% 78.51/50.79 tff(10561,plain,((~node21(c_e_h_2, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10562,plain,
% 78.51/50.79 (~node21(c_e_h_2, c_l, s3, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10561, 10431])).
% 78.51/50.79 tff(10563,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_l, s3, s4) | node22(c_e_h_2, c_l, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_l, s3, s4) | node22(c_e_h_2, c_l, s3, s4))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10564,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_l, s3, s4) | node22(c_e_h_2, c_l, s3, s4))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10565,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_l, s3, s4) | node22(c_e_h_2, c_l, s3, s4)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10564, 10563])).
% 78.51/50.79 tff(10566,plain,
% 78.51/50.79 (node21(c_e_h_2, c_l, s3, s4) | node22(c_e_h_2, c_l, s3, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10565, 383, 711])).
% 78.51/50.79 tff(10567,plain,
% 78.51/50.79 (node22(c_e_h_2, c_l, s3, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10566, 10562])).
% 78.51/50.79 tff(10568,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node22(c_e_h_2, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node22(c_e_h_2, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10569,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node22(c_e_h_2, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10570,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | (~node22(c_e_h_2, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 78.51/50.79 tff(10571,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10570, 437, 10567, 10431, 10430])).
% 78.51/50.79 tff(10572,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10573,plain,
% 78.51/50.79 (~m_and_h_gate_v_out(c_e_h_2, c_l, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10572, 10225])).
% 78.51/50.79 tff(10574,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s4)), introduced(assumption)).
% 78.51/50.79 tff(10575,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s4)), introduced(assumption)).
% 78.51/50.79 tff(10576,plain,
% 78.51/50.79 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10577,plain,
% 78.51/50.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10578,plain,
% 78.51/50.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 78.51/50.79 tff(10579,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10578, 1835, 10575, 10574])).
% 78.51/50.79 tff(10580,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10581,plain,
% 78.51/50.79 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10580, 10573])).
% 78.51/50.79 tff(10582,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s4)), introduced(assumption)).
% 78.51/50.79 tff(10583,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s5)), introduced(assumption)).
% 78.51/50.79 tff(10584,assumption,(node6(c_e_h_2, c_j, s4, s5)), introduced(assumption)).
% 78.51/50.79 tff(10585,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5)))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10586,plain,
% 78.51/50.79 (((~node6(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5)))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10587,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5))))),
% 78.51/50.79 inference(monotonicity,[status(thm)],[10586])).
% 78.51/50.79 tff(10588,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5)))),
% 78.51/50.79 inference(transitivity,[status(thm)],[10587, 10585])).
% 78.51/50.79 tff(10589,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10590,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node6(c_e_h_2, c_j, s4, s5))),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 78.51/50.79 tff(10591,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10590, 1851, 10582, 10583, 10584])).
% 78.51/50.79 tff(10592,plain,((~node6(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10593,plain,
% 78.51/50.79 (~node6(c_e_h_2, c_j, s4, s5)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10592, 10583, 10582])).
% 78.51/50.79 tff(10594,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s4)), introduced(assumption)).
% 78.51/50.79 tff(10595,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s4)), introduced(assumption)).
% 78.51/50.79 tff(10596,assumption,(node5(c_e_h_2, c_j, s4, s5)), introduced(assumption)).
% 78.51/50.79 tff(10597,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10598,plain,
% 78.51/50.79 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s4) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~node5(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10599,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s4) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~node5(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4)))),
% 78.51/50.79 inference(monotonicity,[status(thm)],[10598])).
% 78.51/50.79 tff(10600,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s4) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~node5(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4))),
% 78.51/50.79 inference(transitivity,[status(thm)],[10599, 10597])).
% 78.51/50.79 tff(10601,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s4) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~node5(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10602,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | (~node5(c_e_h_2, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10601, 10600])).
% 78.51/50.79 tff(10603,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10602, 1888, 10583, 10596, 10595, 10594])).
% 78.51/50.79 tff(10604,plain,((~node5(c_e_h_2, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10605,plain,
% 78.51/50.79 (~node5(c_e_h_2, c_j, s4, s5)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10604, 10583, 10595, 10594])).
% 78.51/50.79 tff(10606,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10607,plain,
% 78.51/50.79 ((node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10608,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5)))),
% 78.51/50.79 inference(monotonicity,[status(thm)],[10607])).
% 78.51/50.79 tff(10609,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5))),
% 78.51/50.79 inference(transitivity,[status(thm)],[10608, 10606])).
% 78.51/50.79 tff(10610,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5) | (~trans(s4, s5)))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10611,plain,
% 78.51/50.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 78.51/50.79 tff(10612,plain,
% 78.51/50.79 (node6(c_e_h_2, c_j, s4, s5) | node5(c_e_h_2, c_j, s4, s5)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10611, 1870, 930])).
% 78.51/50.79 tff(10613,plain,
% 78.51/50.79 ($false),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10612, 10605, 10593])).
% 78.51/50.79 tff(10614,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | m_or_h_gate_v_in1(c_e_h_2, c_j, s4) | m_or_h_gate_v_out(c_e_h_2, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.79 tff(10615,plain,
% 78.51/50.79 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s4) | m_or_h_gate_v_out(c_e_h_2, c_j, s4)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10614, 10581])).
% 78.51/50.79 tff(10616,plain,
% 78.51/50.79 (~m_or_h_gate_v_out(c_e_h_2, c_j, s5)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10615, 10251, 10429])).
% 78.51/50.79 tff(10617,plain,
% 78.51/50.79 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))),
% 78.51/50.79 inference(rewrite,[status(thm)],[])).
% 78.51/50.79 tff(10618,plain,
% 78.51/50.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))),
% 78.51/50.79 inference(quant_inst,[status(thm)],[])).
% 78.51/50.79 tff(10619,plain,
% 78.51/50.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5)),
% 78.51/50.79 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 78.51/50.79 tff(10620,plain,
% 78.51/50.79 (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)),
% 78.51/50.79 inference(unit_resolution,[status(thm)],[10619, 1740, 10616])).
% 78.51/50.79 tff(10621,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s6)), introduced(assumption)).
% 78.51/50.79 tff(10622,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s5)), introduced(assumption)).
% 78.51/50.79 tff(10623,assumption,(node18(c_e_h_2, c_h, s5, s6)), introduced(assumption)).
% 78.51/50.79 tff(10624,plain,
% 78.51/50.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10625,plain,
% 78.51/50.80 (((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~node18(c_e_h_2, c_h, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10626,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~node18(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6))))),
% 78.51/50.80 inference(monotonicity,[status(thm)],[10625])).
% 78.51/50.80 tff(10627,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~node18(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(transitivity,[status(thm)],[10626, 10624])).
% 78.51/50.80 tff(10628,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~node18(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10629,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node18(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 78.51/50.80 tff(10630,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10629, 481, 10622, 10621, 10623])).
% 78.51/50.80 tff(10631,plain,((~node18(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10632,plain,
% 78.51/50.80 (~node18(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10631, 10621, 10622])).
% 78.51/50.80 tff(10633,assumption,(node15(c_e_h_2, c_h, s5, s6)), introduced(assumption)).
% 78.51/50.80 tff(10634,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node15(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node15(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10635,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node15(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10636,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node15(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 78.51/50.80 tff(10637,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10636, 612, 10622, 10621, 10633])).
% 78.51/50.80 tff(10638,plain,((~node15(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10639,plain,
% 78.51/50.80 (~node15(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10638, 10621, 10622])).
% 78.51/50.80 tff(10640,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s5)), introduced(assumption)).
% 78.51/50.80 tff(10641,assumption,(node17(c_e_h_2, c_h, s5)), introduced(assumption)).
% 78.51/50.80 tff(10642,plain,
% 78.51/50.80 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | (~node17(c_e_h_2, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | (~node17(c_e_h_2, c_h, s5)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10643,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | (~node17(c_e_h_2, c_h, s5)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10644,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)) | (~node17(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 78.51/50.80 tff(10645,plain,
% 78.51/50.80 (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10644, 1172, 10641])).
% 78.51/50.80 tff(10646,plain,
% 78.51/50.80 (~m_c_h_element_v_in2(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10645, 10640])).
% 78.51/50.80 tff(10647,assumption,(~node15(c_e_h_2, c_h, s5, s6)), introduced(assumption)).
% 78.51/50.80 tff(10648,assumption,(node14(c_e_h_2, c_h, s5, s6)), introduced(assumption)).
% 78.51/50.80 tff(10649,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10650,plain,
% 78.51/50.80 (((~node14(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6))) <=> (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10651,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6))))),
% 78.51/50.80 inference(monotonicity,[status(thm)],[10650])).
% 78.51/50.80 tff(10652,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(transitivity,[status(thm)],[10651, 10649])).
% 78.51/50.80 tff(10653,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10654,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | (~node14(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 78.51/50.80 tff(10655,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10654, 575, 10621, 10640, 10648])).
% 78.51/50.80 tff(10656,plain,((~node14(c_e_h_2, c_h, s5, s6)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10657,plain,
% 78.51/50.80 (~node14(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10656, 10640, 10621])).
% 78.51/50.80 tff(10658,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_2, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10659,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10660,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 78.51/50.80 tff(10661,plain,
% 78.51/50.80 (node19(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10660, 494, 1343])).
% 78.51/50.80 tff(10662,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10663,plain,
% 78.51/50.80 ((node16(c_e_h_2, c_h, s5) | node14(c_e_h_2, c_h, s5, s6) | node15(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6))) <=> (node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10664,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s5) | node14(c_e_h_2, c_h, s5, s6) | node15(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(monotonicity,[status(thm)],[10663])).
% 78.51/50.80 tff(10665,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s5) | node14(c_e_h_2, c_h, s5, s6) | node15(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(transitivity,[status(thm)],[10664, 10662])).
% 78.51/50.80 tff(10666,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s5) | node14(c_e_h_2, c_h, s5, s6) | node15(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10667,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 78.51/50.80 tff(10668,plain,
% 78.51/50.80 (node16(c_e_h_2, c_h, s5) | node15(c_e_h_2, c_h, s5, s6) | node14(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10667, 594, 10661])).
% 78.51/50.80 tff(10669,plain,
% 78.51/50.80 (node16(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10668, 10657, 10647])).
% 78.51/50.80 tff(10670,plain,
% 78.51/50.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10671,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10672,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s5)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10671, 10670])).
% 78.51/50.80 tff(10673,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10672, 559, 10640, 10669, 10646])).
% 78.51/50.80 tff(10674,plain,(m_c_h_element_v_in1(c_e_h_2, c_h, s5) | node15(c_e_h_2, c_h, s5, s6) | (~node17(c_e_h_2, c_h, s5)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10675,plain,
% 78.51/50.80 (~node17(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10674, 10621, 10640, 10639])).
% 78.51/50.80 tff(10676,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10677,plain,
% 78.51/50.80 ((node17(c_e_h_2, c_h, s5) | node18(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6))) <=> (node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10678,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s5) | node18(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(monotonicity,[status(thm)],[10677])).
% 78.51/50.80 tff(10679,plain,
% 78.51/50.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s5) | node18(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6))),
% 78.51/50.80 inference(transitivity,[status(thm)],[10678, 10676])).
% 78.51/50.80 tff(10680,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s5) | node18(c_e_h_2, c_h, s5, s6) | (~node19(c_e_h_2, c_h, s5, s6)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10681,plain,
% 78.51/50.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s5) | (~node19(c_e_h_2, c_h, s5, s6)) | node18(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 78.51/50.80 tff(10682,plain,
% 78.51/50.80 (node17(c_e_h_2, c_h, s5) | node18(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10681, 508, 10661])).
% 78.51/50.80 tff(10683,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10682, 10675, 10632])).
% 78.51/50.80 tff(10684,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10685,plain,
% 78.51/50.80 (m_c_h_element_v_in1(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10684, 10622, 10621])).
% 78.51/50.80 tff(10686,plain,
% 78.51/50.80 (~node18(c_e_h_2, c_h, s5, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10631, 10622, 10621])).
% 78.51/50.80 tff(10687,plain,
% 78.51/50.80 (node17(c_e_h_2, c_h, s5)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10682, 10686])).
% 78.51/50.80 tff(10688,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s5)), introduced(assumption)).
% 78.51/50.80 tff(10689,plain,
% 78.51/50.80 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s5)) | m_c_h_element_v_in2(c_e_h_2, c_h, s5) | (~node17(c_e_h_2, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s5)) | m_c_h_element_v_in2(c_e_h_2, c_h, s5) | (~node17(c_e_h_2, c_h, s5)))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10690,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s5)) | m_c_h_element_v_in2(c_e_h_2, c_h, s5) | (~node17(c_e_h_2, c_h, s5)))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10691,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s5)) | m_c_h_element_v_in2(c_e_h_2, c_h, s5) | (~node17(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 78.51/50.80 tff(10692,plain,
% 78.51/50.80 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s5)) | (~node17(c_e_h_2, c_h, s5))),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10691, 541, 10688])).
% 78.51/50.80 tff(10693,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10692, 10687, 10685])).
% 78.51/50.80 tff(10694,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s5) | (~m_c_h_element_v_out(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10695,plain,
% 78.51/50.80 (~m_c_h_element_v_out(c_e_h_2, c_h, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10694, 10620, 10318])).
% 78.51/50.80 tff(10696,plain,
% 78.51/50.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10697,plain,
% 78.51/50.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10698,plain,
% 78.51/50.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s6)) | m_c_h_element_v_out(c_e_h_2, c_h, s6)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 78.51/50.80 tff(10699,plain,
% 78.51/50.80 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10698, 8, 10695])).
% 78.51/50.80 tff(10700,plain,
% 78.51/50.80 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s6))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10701,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s6))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10702,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s6)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 78.51/50.80 tff(10703,plain,
% 78.51/50.80 (~node20(c_e_h_2, c_i, s6)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10702, 22, 10699])).
% 78.51/50.80 tff(10704,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.80 tff(10705,plain,
% 78.51/50.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10706,plain,
% 78.51/50.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s4))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10707,plain,
% 78.51/50.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s4)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 78.51/50.80 tff(10708,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10707, 8, 10256, 10704])).
% 78.51/50.80 tff(10709,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)) | m_c_h_element_v_out(c_e_h_2, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10710,plain,
% 78.51/50.80 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10709, 10105])).
% 78.51/50.80 tff(10711,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.80 tff(10712,assumption,(node20(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.80 tff(10713,plain,
% 78.51/50.80 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s4))),
% 78.51/50.80 inference(rewrite,[status(thm)],[])).
% 78.51/50.80 tff(10714,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s4))),
% 78.51/50.80 inference(quant_inst,[status(thm)],[])).
% 78.51/50.80 tff(10715,plain,
% 78.51/50.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s4)),
% 78.51/50.80 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 78.51/50.80 tff(10716,plain,
% 78.51/50.80 ($false),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10715, 22, 10712, 10711])).
% 78.51/50.80 tff(10717,plain,((~node20(c_e_h_2, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.80 tff(10718,plain,
% 78.51/50.80 (~node20(c_e_h_2, c_i, s4)),
% 78.51/50.80 inference(unit_resolution,[status(thm)],[10717, 10710])).
% 78.51/50.80 tff(10719,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s2)), introduced(assumption)).
% 78.51/50.80 tff(10720,assumption,(node21(c_e_h_2, c_i, s1, s2)), introduced(assumption)).
% 78.51/50.80 tff(10721,plain,
% 78.51/50.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10722,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s1))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10723,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s1)) | m_c_h_element_v_out(c_e_h_2, c_h, s1)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 78.51/50.81 tff(10724,plain,
% 78.51/50.81 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s1)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10723, 8, 9909])).
% 78.51/50.81 tff(10725,plain,
% 78.51/50.81 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s1))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10726,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s1))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10727,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s1)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10726, 10725])).
% 78.51/50.81 tff(10728,plain,
% 78.51/50.81 (~node20(c_e_h_2, c_i, s1)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10727, 22, 10724])).
% 78.51/50.81 tff(10729,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node21(c_e_h_2, c_i, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node21(c_e_h_2, c_i, s1, s2)))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10730,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node21(c_e_h_2, c_i, s1, s2)))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10731,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node21(c_e_h_2, c_i, s1, s2))),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 78.51/50.81 tff(10732,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10731, 348, 10728, 10719, 10720])).
% 78.51/50.81 tff(10733,plain,((~node21(c_e_h_2, c_i, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10734,plain,
% 78.51/50.81 (~node21(c_e_h_2, c_i, s1, s2)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10733, 10719])).
% 78.51/50.81 tff(10735,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_i, s1, s2) | node22(c_e_h_2, c_i, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_i, s1, s2) | node22(c_e_h_2, c_i, s1, s2))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10736,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_i, s1, s2) | node22(c_e_h_2, c_i, s1, s2))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10737,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_i, s1, s2) | node22(c_e_h_2, c_i, s1, s2)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 78.51/50.81 tff(10738,plain,
% 78.51/50.81 (node21(c_e_h_2, c_i, s1, s2) | node22(c_e_h_2, c_i, s1, s2)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10737, 383, 265])).
% 78.51/50.81 tff(10739,plain,
% 78.51/50.81 (node22(c_e_h_2, c_i, s1, s2)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10738, 10734])).
% 78.51/50.81 tff(10740,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s1)), introduced(assumption)).
% 78.51/50.81 tff(10741,assumption,(node21(c_e_h_2, c_i, s0, s1)), introduced(assumption)).
% 78.51/50.81 tff(10742,plain,
% 78.51/50.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s0)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s0)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10743,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s0)) | m_c_h_element_v_out(c_e_h_2, c_h, s0))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10744,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s0)) | m_c_h_element_v_out(c_e_h_2, c_h, s0)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 78.51/50.81 tff(10745,plain,
% 78.51/50.81 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s0)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10744, 8, 9848])).
% 78.51/50.81 tff(10746,plain,
% 78.51/50.81 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s0))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10747,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s0))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10748,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s0)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 78.51/50.81 tff(10749,plain,
% 78.51/50.81 (~node20(c_e_h_2, c_i, s0)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10748, 22, 10745])).
% 78.51/50.81 tff(10750,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node21(c_e_h_2, c_i, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node21(c_e_h_2, c_i, s0, s1)))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10751,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node21(c_e_h_2, c_i, s0, s1)))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10752,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node21(c_e_h_2, c_i, s0, s1))),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 78.51/50.81 tff(10753,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10752, 348, 10749, 10741, 10740])).
% 78.51/50.81 tff(10754,plain,((~node21(c_e_h_2, c_i, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10755,plain,
% 78.51/50.81 (~node21(c_e_h_2, c_i, s0, s1)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10754, 10740])).
% 78.51/50.81 tff(10756,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_i, s0, s1) | node22(c_e_h_2, c_i, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_i, s0, s1) | node22(c_e_h_2, c_i, s0, s1))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10757,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_i, s0, s1) | node22(c_e_h_2, c_i, s0, s1))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10758,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_i, s0, s1) | node22(c_e_h_2, c_i, s0, s1)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 78.51/50.81 tff(10759,plain,
% 78.51/50.81 (node21(c_e_h_2, c_i, s0, s1) | node22(c_e_h_2, c_i, s0, s1)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10758, 383, 183])).
% 78.51/50.81 tff(10760,plain,
% 78.51/50.81 (node22(c_e_h_2, c_i, s0, s1)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10759, 10755])).
% 78.51/50.81 tff(10761,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node22(c_e_h_2, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node22(c_e_h_2, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10762,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node22(c_e_h_2, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10763,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s1)) | (~node22(c_e_h_2, c_i, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10762, 10761])).
% 78.51/50.81 tff(10764,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10763, 437, 10451, 10760, 10740])).
% 78.51/50.81 tff(10765,plain,(~m_and_h_gate_v_out(c_e_h_2, c_i, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10766,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node22(c_e_h_2, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node22(c_e_h_2, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10767,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node22(c_e_h_2, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10768,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s2)) | (~node22(c_e_h_2, c_i, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 78.51/50.81 tff(10769,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10768, 437, 10765, 10719, 10739])).
% 78.51/50.81 tff(10770,plain,(~m_and_h_gate_v_out(c_e_h_2, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10771,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s3)), introduced(assumption)).
% 78.51/50.81 tff(10772,plain,
% 78.51/50.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10773,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s2))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10774,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s2)) | m_c_h_element_v_out(c_e_h_2, c_h, s2)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 78.51/50.81 tff(10775,plain,
% 78.51/50.81 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s2)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10774, 8, 9944])).
% 78.51/50.81 tff(10776,plain,
% 78.51/50.81 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s2))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10777,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s2))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10778,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s2)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10777, 10776])).
% 78.51/50.81 tff(10779,plain,
% 78.51/50.81 (~node20(c_e_h_2, c_i, s2)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10778, 22, 10775])).
% 78.51/50.81 tff(10780,assumption,(~node20(c_e_h_2, c_i, s2)), introduced(assumption)).
% 78.51/50.81 tff(10781,assumption,(node21(c_e_h_2, c_i, s2, s3)), introduced(assumption)).
% 78.51/50.81 tff(10782,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node21(c_e_h_2, c_i, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node21(c_e_h_2, c_i, s2, s3)))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10783,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node21(c_e_h_2, c_i, s2, s3)))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10784,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node21(c_e_h_2, c_i, s2, s3))),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 78.51/50.81 tff(10785,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10784, 348, 10771, 10781, 10780])).
% 78.51/50.81 tff(10786,plain,((~node21(c_e_h_2, c_i, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | node20(c_e_h_2, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10787,plain,
% 78.51/50.81 ((~node21(c_e_h_2, c_i, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3))),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10786, 10779])).
% 78.51/50.81 tff(10788,plain,
% 78.51/50.81 (~node21(c_e_h_2, c_i, s2, s3)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10787, 10771])).
% 78.51/50.81 tff(10789,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s2)), introduced(assumption)).
% 78.51/50.81 tff(10790,assumption,(node22(c_e_h_2, c_i, s2, s3)), introduced(assumption)).
% 78.51/50.81 tff(10791,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node22(c_e_h_2, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node22(c_e_h_2, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10792,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node22(c_e_h_2, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10793,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | (~node22(c_e_h_2, c_i, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 78.51/50.81 tff(10794,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10793, 437, 10771, 10790, 10789])).
% 78.51/50.81 tff(10795,plain,((~node22(c_e_h_2, c_i, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10796,plain,
% 78.51/50.81 (~node22(c_e_h_2, c_i, s2, s3)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10795, 10771, 10789])).
% 78.51/50.81 tff(10797,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_i, s2, s3) | node22(c_e_h_2, c_i, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_i, s2, s3) | node22(c_e_h_2, c_i, s2, s3))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10798,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_i, s2, s3) | node22(c_e_h_2, c_i, s2, s3))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10799,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_i, s2, s3) | node22(c_e_h_2, c_i, s2, s3)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 78.51/50.81 tff(10800,plain,
% 78.51/50.81 (node21(c_e_h_2, c_i, s2, s3) | node22(c_e_h_2, c_i, s2, s3)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10799, 383, 463])).
% 78.51/50.81 tff(10801,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10800, 10796, 10788])).
% 78.51/50.81 tff(10802,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10803,plain,
% 78.51/50.81 (~m_and_h_gate_v_out(c_e_h_2, c_i, s3)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10802, 10770])).
% 78.51/50.81 tff(10804,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s3)), introduced(assumption)).
% 78.51/50.81 tff(10805,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.81 tff(10806,assumption,(node22(c_e_h_2, c_i, s3, s4)), introduced(assumption)).
% 78.51/50.81 tff(10807,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node22(c_e_h_2, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node22(c_e_h_2, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10808,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node22(c_e_h_2, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10809,plain,
% 78.51/50.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node22(c_e_h_2, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10808, 10807])).
% 78.51/50.81 tff(10810,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10809, 437, 10804, 10806, 10805])).
% 78.51/50.81 tff(10811,plain,((~node22(c_e_h_2, c_i, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10812,plain,
% 78.51/50.81 (~node22(c_e_h_2, c_i, s3, s4)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10811, 10805, 10804])).
% 78.51/50.81 tff(10813,assumption,(node20(c_e_h_2, c_i, s3)), introduced(assumption)).
% 78.51/50.81 tff(10814,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_i, s3)), introduced(assumption)).
% 78.51/50.81 tff(10815,plain,
% 78.51/50.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10816,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s3))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10817,plain,
% 78.51/50.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s3)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10816, 10815])).
% 78.51/50.81 tff(10818,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10817, 8, 10015, 10814])).
% 78.51/50.81 tff(10819,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)) | m_c_h_element_v_out(c_e_h_2, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10820,plain,
% 78.51/50.81 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s3)),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10819, 10014])).
% 78.51/50.81 tff(10821,plain,
% 78.51/50.81 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s3))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10822,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s3))),
% 78.51/50.81 inference(quant_inst,[status(thm)],[])).
% 78.51/50.81 tff(10823,plain,
% 78.51/50.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s3)),
% 78.51/50.81 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 78.51/50.81 tff(10824,plain,
% 78.51/50.81 ($false),
% 78.51/50.81 inference(unit_resolution,[status(thm)],[10823, 22, 10820, 10813])).
% 78.51/50.81 tff(10825,plain,(~node20(c_e_h_2, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.81 tff(10826,assumption,(~node20(c_e_h_2, c_i, s3)), introduced(assumption)).
% 78.51/50.81 tff(10827,assumption,(node21(c_e_h_2, c_i, s3, s4)), introduced(assumption)).
% 78.51/50.81 tff(10828,plain,
% 78.51/50.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)))),
% 78.51/50.81 inference(rewrite,[status(thm)],[])).
% 78.51/50.81 tff(10829,plain,
% 78.51/50.81 ((node20(c_e_h_2, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node21(c_e_h_2, c_i, s3, s4))) <=> (node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10830,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node21(c_e_h_2, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4))))),
% 78.51/50.82 inference(monotonicity,[status(thm)],[10829])).
% 78.51/50.82 tff(10831,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node21(c_e_h_2, c_i, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)))),
% 78.51/50.82 inference(transitivity,[status(thm)],[10830, 10828])).
% 78.51/50.82 tff(10832,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | (~node21(c_e_h_2, c_i, s3, s4)))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10833,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s3) | (~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4))),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 78.51/50.82 tff(10834,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10833, 348, 10827, 10805, 10826])).
% 78.51/50.82 tff(10835,plain,((~node21(c_e_h_2, c_i, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | node20(c_e_h_2, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10836,plain,
% 78.51/50.82 (~node21(c_e_h_2, c_i, s3, s4)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10835, 10805, 10825])).
% 78.51/50.82 tff(10837,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_i, s3, s4) | node22(c_e_h_2, c_i, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_i, s3, s4) | node22(c_e_h_2, c_i, s3, s4))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10838,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_i, s3, s4) | node22(c_e_h_2, c_i, s3, s4))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10839,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_i, s3, s4) | node22(c_e_h_2, c_i, s3, s4)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 78.51/50.82 tff(10840,plain,
% 78.51/50.82 (node21(c_e_h_2, c_i, s3, s4) | node22(c_e_h_2, c_i, s3, s4)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10839, 383, 711])).
% 78.51/50.82 tff(10841,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10840, 10836, 10812])).
% 78.51/50.82 tff(10842,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10843,plain,
% 78.51/50.82 (~m_and_h_gate_v_out(c_e_h_2, c_i, s4)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10842, 10803])).
% 78.51/50.82 tff(10844,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.82 tff(10845,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s5)), introduced(assumption)).
% 78.51/50.82 tff(10846,assumption,(node22(c_e_h_2, c_i, s4, s5)), introduced(assumption)).
% 78.51/50.82 tff(10847,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node22(c_e_h_2, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node22(c_e_h_2, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10848,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node22(c_e_h_2, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10849,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node22(c_e_h_2, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 78.51/50.82 tff(10850,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10849, 437, 10844, 10846, 10845])).
% 78.51/50.82 tff(10851,plain,((~node22(c_e_h_2, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10852,plain,
% 78.51/50.82 (~node22(c_e_h_2, c_i, s4, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10851, 10845, 10844])).
% 78.51/50.82 tff(10853,assumption,(~node20(c_e_h_2, c_i, s4)), introduced(assumption)).
% 78.51/50.82 tff(10854,assumption,(node21(c_e_h_2, c_i, s4, s5)), introduced(assumption)).
% 78.51/50.82 tff(10855,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node21(c_e_h_2, c_i, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node21(c_e_h_2, c_i, s4, s5)))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10856,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node21(c_e_h_2, c_i, s4, s5)))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10857,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | (~node21(c_e_h_2, c_i, s4, s5))),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 78.51/50.82 tff(10858,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10857, 348, 10854, 10845, 10853])).
% 78.51/50.82 tff(10859,plain,((~node21(c_e_h_2, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | node20(c_e_h_2, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10860,plain,
% 78.51/50.82 (~node21(c_e_h_2, c_i, s4, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10859, 10845, 10853])).
% 78.51/50.82 tff(10861,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_i, s4, s5) | node22(c_e_h_2, c_i, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_i, s4, s5) | node22(c_e_h_2, c_i, s4, s5))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10862,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_i, s4, s5) | node22(c_e_h_2, c_i, s4, s5))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10863,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_i, s4, s5) | node22(c_e_h_2, c_i, s4, s5)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10862, 10861])).
% 78.51/50.82 tff(10864,plain,
% 78.51/50.82 (node21(c_e_h_2, c_i, s4, s5) | node22(c_e_h_2, c_i, s4, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10863, 383, 930])).
% 78.51/50.82 tff(10865,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10864, 10860, 10852])).
% 78.51/50.82 tff(10866,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | node20(c_e_h_2, c_i, s4) | m_and_h_gate_v_out(c_e_h_2, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10867,plain,
% 78.51/50.82 ((~m_and_h_gate_v_out(c_e_h_2, c_i, s5)) | node20(c_e_h_2, c_i, s4)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10866, 10843])).
% 78.51/50.82 tff(10868,plain,
% 78.51/50.82 (~m_and_h_gate_v_out(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10867, 10718])).
% 78.51/50.82 tff(10869,plain,
% 78.51/50.82 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10870,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10871,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s5)) | m_c_h_element_v_out(c_e_h_2, c_h, s5)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 78.51/50.82 tff(10872,plain,
% 78.51/50.82 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10871, 8, 10318])).
% 78.51/50.82 tff(10873,plain,
% 78.51/50.82 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10874,plain,
% 78.51/50.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10875,plain,
% 78.51/50.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 78.51/50.82 tff(10876,plain,
% 78.51/50.82 (~node20(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10875, 22, 10872])).
% 78.51/50.82 tff(10877,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s5)), introduced(assumption)).
% 78.51/50.82 tff(10878,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s6)), introduced(assumption)).
% 78.51/50.82 tff(10879,assumption,(node22(c_e_h_2, c_i, s5, s6)), introduced(assumption)).
% 78.51/50.82 tff(10880,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node22(c_e_h_2, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node22(c_e_h_2, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10881,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node22(c_e_h_2, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10882,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node22(c_e_h_2, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10881, 10880])).
% 78.51/50.82 tff(10883,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10882, 437, 10877, 10879, 10878])).
% 78.51/50.82 tff(10884,plain,((~node22(c_e_h_2, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10885,plain,
% 78.51/50.82 (~node22(c_e_h_2, c_i, s5, s6)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10884, 10878, 10877])).
% 78.51/50.82 tff(10886,assumption,(~node20(c_e_h_2, c_i, s5)), introduced(assumption)).
% 78.51/50.82 tff(10887,assumption,(node21(c_e_h_2, c_i, s5, s6)), introduced(assumption)).
% 78.51/50.82 tff(10888,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node21(c_e_h_2, c_i, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node21(c_e_h_2, c_i, s5, s6)))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10889,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node21(c_e_h_2, c_i, s5, s6)))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10890,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | (~node21(c_e_h_2, c_i, s5, s6))),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 78.51/50.82 tff(10891,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10890, 348, 10887, 10878, 10886])).
% 78.51/50.82 tff(10892,plain,((~node21(c_e_h_2, c_i, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | node20(c_e_h_2, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10893,plain,
% 78.51/50.82 (~node21(c_e_h_2, c_i, s5, s6)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10892, 10878, 10886])).
% 78.51/50.82 tff(10894,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_i, s5, s6) | node22(c_e_h_2, c_i, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_i, s5, s6) | node22(c_e_h_2, c_i, s5, s6))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10895,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_i, s5, s6) | node22(c_e_h_2, c_i, s5, s6))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10896,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_i, s5, s6) | node22(c_e_h_2, c_i, s5, s6)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 78.51/50.82 tff(10897,plain,
% 78.51/50.82 (node21(c_e_h_2, c_i, s5, s6) | node22(c_e_h_2, c_i, s5, s6)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10896, 383, 1343])).
% 78.51/50.82 tff(10898,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10897, 10893, 10885])).
% 78.51/50.82 tff(10899,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s6)) | node20(c_e_h_2, c_i, s5) | m_and_h_gate_v_out(c_e_h_2, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10900,plain,
% 78.51/50.82 (~m_and_h_gate_v_out(c_e_h_2, c_i, s6)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10899, 10876, 10868])).
% 78.51/50.82 tff(10901,assumption,(~node20(c_e_h_2, c_i, s6)), introduced(assumption)).
% 78.51/50.82 tff(10902,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s7)), introduced(assumption)).
% 78.51/50.82 tff(10903,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s6)), introduced(assumption)).
% 78.51/50.82 tff(10904,assumption,(node22(c_e_h_2, c_i, s6, s7)), introduced(assumption)).
% 78.51/50.82 tff(10905,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node22(c_e_h_2, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node22(c_e_h_2, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10906,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node22(c_e_h_2, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10907,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node22(c_e_h_2, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 78.51/50.82 tff(10908,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10907, 437, 10904, 10902, 10903])).
% 78.51/50.82 tff(10909,plain,((~node22(c_e_h_2, c_i, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10910,plain,
% 78.51/50.82 (~node22(c_e_h_2, c_i, s6, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10909, 10902, 10903])).
% 78.51/50.82 tff(10911,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_i, s6, s7) | node22(c_e_h_2, c_i, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_i, s6, s7) | node22(c_e_h_2, c_i, s6, s7))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10912,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_i, s6, s7) | node22(c_e_h_2, c_i, s6, s7))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10913,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_i, s6, s7) | node22(c_e_h_2, c_i, s6, s7)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 78.51/50.82 tff(10914,plain,
% 78.51/50.82 (node21(c_e_h_2, c_i, s6, s7) | node22(c_e_h_2, c_i, s6, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10913, 383, 1685])).
% 78.51/50.82 tff(10915,plain,
% 78.51/50.82 (node21(c_e_h_2, c_i, s6, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10914, 10910])).
% 78.51/50.82 tff(10916,plain,
% 78.51/50.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node21(c_e_h_2, c_i, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node21(c_e_h_2, c_i, s6, s7)))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10917,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node21(c_e_h_2, c_i, s6, s7)))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10918,plain,
% 78.51/50.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | (~node21(c_e_h_2, c_i, s6, s7))),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 78.51/50.82 tff(10919,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10918, 348, 10915, 10902, 10901])).
% 78.51/50.82 tff(10920,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s7)) | node20(c_e_h_2, c_i, s6) | m_and_h_gate_v_out(c_e_h_2, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10921,plain,
% 78.51/50.82 (~m_and_h_gate_v_out(c_e_h_2, c_i, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10920, 10900, 10703])).
% 78.51/50.82 tff(10922,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s7)), introduced(assumption)).
% 78.51/50.82 tff(10923,assumption,(m_c_h_element_v_in2(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.51/50.82 tff(10924,plain,
% 78.51/50.82 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10925,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10926,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10925, 10924])).
% 78.51/50.82 tff(10927,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10926, 527, 10923, 10922])).
% 78.51/50.82 tff(10928,plain,((~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10929,plain,
% 78.51/50.82 (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10928, 10921])).
% 78.51/50.82 tff(10930,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.51/50.82 tff(10931,plain,
% 78.51/50.82 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10932,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10933,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 78.51/50.82 tff(10934,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10933, 4785, 10930, 10922])).
% 78.51/50.82 tff(10935,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.82 tff(10936,plain,
% 78.51/50.82 (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10935, 10921])).
% 78.51/50.82 tff(10937,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.51/50.82 tff(10938,plain,
% 78.51/50.82 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(rewrite,[status(thm)],[])).
% 78.51/50.82 tff(10939,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5))),
% 78.51/50.82 inference(quant_inst,[status(thm)],[])).
% 78.51/50.82 tff(10940,plain,
% 78.51/50.82 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | m_and_h_gate_v_out(c_e_h_2, c_i, s5)),
% 78.51/50.82 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 78.51/50.82 tff(10941,plain,
% 78.51/50.82 ($false),
% 78.51/50.82 inference(unit_resolution,[status(thm)],[10940, 4785, 10877, 10937])).
% 78.51/50.82 tff(10942,plain,(m_and_h_gate_v_out(c_e_h_2, c_i, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10943,plain,
% 78.51/50.83 (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10942, 10868])).
% 78.51/50.83 tff(10944,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.51/50.83 tff(10945,plain,
% 78.51/50.83 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10946,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10947,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 78.51/50.83 tff(10948,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10947, 4785, 10804, 10944])).
% 78.51/50.83 tff(10949,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | m_and_h_gate_v_out(c_e_h_2, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10950,plain,
% 78.51/50.83 (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10949, 10803])).
% 78.51/50.83 tff(10951,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.51/50.83 tff(10952,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_a, s0)), introduced(assumption)).
% 78.51/50.83 tff(10953,plain,
% 78.51/50.83 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s0))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10954,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10953, 956, 10952])).
% 78.51/50.83 tff(10955,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_a, s0)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10956,plain,
% 78.51/50.83 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10957,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10958,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10957, 10956])).
% 78.51/50.83 tff(10959,plain,
% 78.51/50.83 (~m_and_h_gate_v_in1(c_e_h_2, c_c, s0)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10958, 2644, 10955])).
% 78.51/50.83 tff(10960,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10961,plain,
% 78.51/50.83 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10962,plain,
% 78.51/50.83 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s0)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 78.51/50.83 tff(10963,plain,
% 78.51/50.83 (~node20(c_e_h_2, c_c, s0)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10962, 22, 10959])).
% 78.51/50.83 tff(10964,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s1)), introduced(assumption)).
% 78.51/50.83 tff(10965,assumption,(node22(c_e_h_2, c_c, s0, s1)), introduced(assumption)).
% 78.51/50.83 tff(10966,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node22(c_e_h_2, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node22(c_e_h_2, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10967,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node22(c_e_h_2, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10968,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node22(c_e_h_2, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s0)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 78.51/50.83 tff(10969,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10968, 437, 9792, 10965, 10964])).
% 78.51/50.83 tff(10970,plain,((~node22(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10971,plain,
% 78.51/50.83 (~node22(c_e_h_2, c_c, s0, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10970, 10964])).
% 78.51/50.83 tff(10972,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_c, s0, s1) | node22(c_e_h_2, c_c, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_c, s0, s1) | node22(c_e_h_2, c_c, s0, s1))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10973,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_c, s0, s1) | node22(c_e_h_2, c_c, s0, s1))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10974,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_c, s0, s1) | node22(c_e_h_2, c_c, s0, s1)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 78.51/50.83 tff(10975,plain,
% 78.51/50.83 (node21(c_e_h_2, c_c, s0, s1) | node22(c_e_h_2, c_c, s0, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10974, 383, 183])).
% 78.51/50.83 tff(10976,plain,
% 78.51/50.83 (node21(c_e_h_2, c_c, s0, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10975, 10971])).
% 78.51/50.83 tff(10977,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10978,plain,
% 78.51/50.83 ((node20(c_e_h_2, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node21(c_e_h_2, c_c, s0, s1))) <=> ((~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10979,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node21(c_e_h_2, c_c, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0)))),
% 78.51/50.83 inference(monotonicity,[status(thm)],[10978])).
% 78.51/50.83 tff(10980,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node21(c_e_h_2, c_c, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0))),
% 78.51/50.83 inference(transitivity,[status(thm)],[10979, 10977])).
% 78.51/50.83 tff(10981,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | (~node21(c_e_h_2, c_c, s0, s1)))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10982,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s1)) | node20(c_e_h_2, c_c, s0)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10981, 10980])).
% 78.51/50.83 tff(10983,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10982, 348, 10976, 10964, 10963])).
% 78.51/50.83 tff(10984,plain,(~m_and_h_gate_v_out(c_e_h_2, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10985,plain,
% 78.51/50.83 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10986,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10987,plain,
% 78.51/50.83 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 78.51/50.83 tff(10988,plain,
% 78.51/50.83 (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10987, 4240, 10984])).
% 78.51/50.83 tff(10989,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.83 tff(10990,assumption,(node18(c_e_h_2, c_e, s1, s2)), introduced(assumption)).
% 78.51/50.83 tff(10991,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10992,plain,
% 78.51/50.83 (((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~node18(c_e_h_2, c_e, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(10993,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~node18(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2))))),
% 78.51/50.83 inference(monotonicity,[status(thm)],[10992])).
% 78.51/50.83 tff(10994,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~node18(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(transitivity,[status(thm)],[10993, 10991])).
% 78.51/50.83 tff(10995,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~node18(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(10996,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node18(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 78.51/50.83 tff(10997,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10996, 481, 10478, 10989, 10990])).
% 78.51/50.83 tff(10998,plain,((~node18(c_e_h_2, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(10999,plain,
% 78.51/50.83 (~node18(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[10998, 10989])).
% 78.51/50.83 tff(11000,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11001,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(11002,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 78.51/50.83 tff(11003,plain,
% 78.51/50.83 (node19(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11002, 494, 265])).
% 78.51/50.83 tff(11004,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11005,plain,
% 78.51/50.83 ((node17(c_e_h_2, c_e, s1) | node18(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2))) <=> (node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11006,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s1) | node18(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(monotonicity,[status(thm)],[11005])).
% 78.51/50.83 tff(11007,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s1) | node18(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2))),
% 78.51/50.83 inference(transitivity,[status(thm)],[11006, 11004])).
% 78.51/50.83 tff(11008,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s1) | node18(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(11009,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s1) | (~node19(c_e_h_2, c_e, s1, s2)) | node18(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 78.51/50.83 tff(11010,plain,
% 78.51/50.83 (node17(c_e_h_2, c_e, s1) | node18(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11009, 508, 11003])).
% 78.51/50.83 tff(11011,plain,
% 78.51/50.83 (node17(c_e_h_2, c_e, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11010, 10999])).
% 78.51/50.83 tff(11012,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s1)), introduced(assumption)).
% 78.51/50.83 tff(11013,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11014,plain,
% 78.51/50.83 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11015,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))))),
% 78.51/50.83 inference(monotonicity,[status(thm)],[11014])).
% 78.51/50.83 tff(11016,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(transitivity,[status(thm)],[11015, 11013])).
% 78.51/50.83 tff(11017,plain,
% 78.51/50.83 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(11018,plain,
% 78.51/50.83 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 78.51/50.83 tff(11019,plain,
% 78.51/50.83 ((~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11018, 541, 11012])).
% 78.51/50.83 tff(11020,plain,
% 78.51/50.83 (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11019, 11011])).
% 78.51/50.83 tff(11021,assumption,(node15(c_e_h_2, c_e, s1, s2)), introduced(assumption)).
% 78.51/50.83 tff(11022,plain,
% 78.51/50.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node15(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node15(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11023,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node15(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.83 tff(11024,plain,
% 78.51/50.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node15(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_e, s1)),
% 78.51/50.83 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 78.51/50.83 tff(11025,plain,
% 78.51/50.83 ($false),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11024, 612, 10478, 10989, 11021])).
% 78.51/50.83 tff(11026,plain,((~node15(c_e_h_2, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.83 tff(11027,plain,
% 78.51/50.83 (~node15(c_e_h_2, c_e, s1, s2)),
% 78.51/50.83 inference(unit_resolution,[status(thm)],[11026, 10989])).
% 78.51/50.83 tff(11028,assumption,(node17(c_e_h_2, c_e, s1)), introduced(assumption)).
% 78.51/50.83 tff(11029,assumption,(node16(c_e_h_2, c_e, s1)), introduced(assumption)).
% 78.51/50.83 tff(11030,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s1)), introduced(assumption)).
% 78.51/50.83 tff(11031,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11032,plain,
% 78.51/50.83 ((m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1))) <=> (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(rewrite,[status(thm)],[])).
% 78.51/50.83 tff(11033,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1))))),
% 78.51/50.83 inference(monotonicity,[status(thm)],[11032])).
% 78.51/50.83 tff(11034,plain,
% 78.51/50.83 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(transitivity,[status(thm)],[11033, 11031])).
% 78.51/50.83 tff(11035,plain,
% 78.51/50.83 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1)))),
% 78.51/50.83 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11036,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11035, 11034])).
% 78.51/50.84 tff(11037,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11036, 1172, 11028])).
% 78.51/50.84 tff(11038,plain,
% 78.51/50.84 (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11037, 11030])).
% 78.51/50.84 tff(11039,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | m_c_h_element_v_in2(c_e_h_2, c_e, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | m_c_h_element_v_in2(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11040,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | m_c_h_element_v_in2(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11041,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s1)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | m_c_h_element_v_in2(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 78.51/50.84 tff(11042,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s1) | m_c_h_element_v_in2(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11041, 559, 11029])).
% 78.51/50.84 tff(11043,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11042, 11038, 11030])).
% 78.51/50.84 tff(11044,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~node16(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11045,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11044, 11029, 11028])).
% 78.51/50.84 tff(11046,plain,
% 78.51/50.84 (m_c_h_element_v_in2(c_e_h_2, c_e, s1) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11018, 541, 11028])).
% 78.51/50.84 tff(11047,plain,
% 78.51/50.84 (m_c_h_element_v_in2(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11046, 11045])).
% 78.51/50.84 tff(11048,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11049,plain,
% 78.51/50.84 (((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1))) <=> ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11050,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))))),
% 78.51/50.84 inference(monotonicity,[status(thm)],[11049])).
% 78.51/50.84 tff(11051,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.84 inference(transitivity,[status(thm)],[11050, 11048])).
% 78.51/50.84 tff(11052,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11053,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11052, 11051])).
% 78.51/50.84 tff(11054,plain,
% 78.51/50.84 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11053, 1192, 11029])).
% 78.51/50.84 tff(11055,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11054, 11047, 11045])).
% 78.51/50.84 tff(11056,plain,((~node16(c_e_h_2, c_e, s1)) | (~node17(c_e_h_2, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11057,plain,
% 78.51/50.84 (~node16(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11056, 11011])).
% 78.51/50.84 tff(11058,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11059,plain,
% 78.51/50.84 ((node16(c_e_h_2, c_e, s1) | node14(c_e_h_2, c_e, s1, s2) | node15(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2))) <=> (node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11060,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s1) | node14(c_e_h_2, c_e, s1, s2) | node15(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.84 inference(monotonicity,[status(thm)],[11059])).
% 78.51/50.84 tff(11061,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s1) | node14(c_e_h_2, c_e, s1, s2) | node15(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2))),
% 78.51/50.84 inference(transitivity,[status(thm)],[11060, 11058])).
% 78.51/50.84 tff(11062,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s1) | node14(c_e_h_2, c_e, s1, s2) | node15(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11063,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s1, s2) | (~node19(c_e_h_2, c_e, s1, s2)) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 78.51/50.84 tff(11064,plain,
% 78.51/50.84 (node14(c_e_h_2, c_e, s1, s2) | node16(c_e_h_2, c_e, s1) | node15(c_e_h_2, c_e, s1, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11063, 594, 11003])).
% 78.51/50.84 tff(11065,plain,
% 78.51/50.84 (node14(c_e_h_2, c_e, s1, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11064, 11057, 11027])).
% 78.51/50.84 tff(11066,assumption,(node14(c_e_h_2, c_e, s1, s2)), introduced(assumption)).
% 78.51/50.84 tff(11067,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11068,plain,
% 78.51/50.84 (((~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11069,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1)))),
% 78.51/50.84 inference(monotonicity,[status(thm)],[11068])).
% 78.51/50.84 tff(11070,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(transitivity,[status(thm)],[11069, 11067])).
% 78.51/50.84 tff(11071,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11072,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | (~node14(c_e_h_2, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 78.51/50.84 tff(11073,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11072, 575, 10989, 11066, 11030])).
% 78.51/50.84 tff(11074,plain,((~node14(c_e_h_2, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11075,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11074, 11065, 11020, 10989])).
% 78.51/50.84 tff(11076,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_in2(c_e_h_2, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11077,plain,
% 78.51/50.84 (m_c_h_element_v_in2(c_e_h_2, c_e, s1)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11076, 10989])).
% 78.51/50.84 tff(11078,plain,
% 78.51/50.84 ((~node17(c_e_h_2, c_e, s1)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s1))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11036, 1172, 11030])).
% 78.51/50.84 tff(11079,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11078, 11011, 11077])).
% 78.51/50.84 tff(11080,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11081,plain,
% 78.51/50.84 (~m_c_h_element_v_out(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11080, 10988])).
% 78.51/50.84 tff(11082,assumption,(node18(c_e_h_2, c_e, s2, s3)), introduced(assumption)).
% 78.51/50.84 tff(11083,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.84 tff(11084,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2) | (~node18(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2) | (~node18(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11085,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2) | (~node18(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11086,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2) | (~node18(c_e_h_2, c_e, s2, s3))),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11085, 11084])).
% 78.51/50.84 tff(11087,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11086, 481, 10951, 11083, 11082])).
% 78.51/50.84 tff(11088,plain,((~node18(c_e_h_2, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11089,plain,
% 78.51/50.84 ((~node18(c_e_h_2, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11088, 11081])).
% 78.51/50.84 tff(11090,plain,
% 78.51/50.84 (~node18(c_e_h_2, c_e, s2, s3)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11089, 10951])).
% 78.51/50.84 tff(11091,plain,
% 78.51/50.84 (~node18(c_e_h_2, c_e, s2, s3)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11088, 11083, 10951])).
% 78.51/50.84 tff(11092,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_e, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_e, s2, s3))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11093,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_e, s2, s3))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11094,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_e, s2, s3)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 78.51/50.84 tff(11095,plain,
% 78.51/50.84 (node19(c_e_h_2, c_e, s2, s3)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11094, 494, 463])).
% 78.51/50.84 tff(11096,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11097,plain,
% 78.51/50.84 ((node17(c_e_h_2, c_e, s2) | node18(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3))) <=> ((~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11098,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s2) | node18(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(monotonicity,[status(thm)],[11097])).
% 78.51/50.84 tff(11099,plain,
% 78.51/50.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s2) | node18(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(transitivity,[status(thm)],[11098, 11096])).
% 78.51/50.84 tff(11100,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s2) | node18(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11101,plain,
% 78.51/50.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s2, s3)) | node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 78.51/50.84 tff(11102,plain,
% 78.51/50.84 (node18(c_e_h_2, c_e, s2, s3) | node17(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11101, 508, 11095])).
% 78.51/50.84 tff(11103,plain,
% 78.51/50.84 (node17(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11102, 11091])).
% 78.51/50.84 tff(11104,assumption,(node17(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.84 tff(11105,assumption,(node16(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.84 tff(11106,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.84 tff(11107,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11108,plain,
% 78.51/50.84 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11109,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))))),
% 78.51/50.84 inference(monotonicity,[status(thm)],[11108])).
% 78.51/50.84 tff(11110,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(transitivity,[status(thm)],[11109, 11107])).
% 78.51/50.84 tff(11111,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11112,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 78.51/50.84 tff(11113,plain,
% 78.51/50.84 (m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11112, 541, 11104])).
% 78.51/50.84 tff(11114,plain,
% 78.51/50.84 (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11113, 11106])).
% 78.51/50.84 tff(11115,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | m_c_h_element_v_in2(c_e_h_2, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | m_c_h_element_v_in2(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11116,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | m_c_h_element_v_in2(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11117,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s2)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | m_c_h_element_v_in2(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11116, 11115])).
% 78.51/50.84 tff(11118,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s2) | m_c_h_element_v_in2(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11117, 559, 11105])).
% 78.51/50.84 tff(11119,plain,
% 78.51/50.84 ($false),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11118, 11114, 11106])).
% 78.51/50.84 tff(11120,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s2) | (~node16(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.84 tff(11121,plain,
% 78.51/50.84 (m_c_h_element_v_in2(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11120, 11105, 11104])).
% 78.51/50.84 tff(11122,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(rewrite,[status(thm)],[])).
% 78.51/50.84 tff(11123,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2)))),
% 78.51/50.84 inference(quant_inst,[status(thm)],[])).
% 78.51/50.84 tff(11124,plain,
% 78.51/50.84 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 78.51/50.84 tff(11125,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2))),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11124, 1172, 11104])).
% 78.51/50.84 tff(11126,plain,
% 78.51/50.84 (m_c_h_element_v_in1(c_e_h_2, c_e, s2)),
% 78.51/50.84 inference(unit_resolution,[status(thm)],[11125, 11121])).
% 78.51/50.84 tff(11127,plain,
% 78.51/50.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11128,plain,
% 78.51/50.85 (((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2))) <=> ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11129,plain,
% 78.51/50.85 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))))),
% 78.51/50.85 inference(monotonicity,[status(thm)],[11128])).
% 78.51/50.85 tff(11130,plain,
% 78.51/50.85 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.85 inference(transitivity,[status(thm)],[11129, 11127])).
% 78.51/50.85 tff(11131,plain,
% 78.51/50.85 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11132,plain,
% 78.51/50.85 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 78.51/50.85 tff(11133,plain,
% 78.51/50.85 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11132, 1192, 11105])).
% 78.51/50.85 tff(11134,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11133, 11126, 11121])).
% 78.51/50.85 tff(11135,plain,((~node16(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11136,plain,
% 78.51/50.85 (~node16(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11135, 11103])).
% 78.51/50.85 tff(11137,plain,
% 78.51/50.85 ((~node17(c_e_h_2, c_e, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11112, 541, 11106])).
% 78.51/50.85 tff(11138,plain,
% 78.51/50.85 (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11137, 11103])).
% 78.51/50.85 tff(11139,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s2)), introduced(assumption)).
% 78.51/50.85 tff(11140,assumption,(node14(c_e_h_2, c_e, s2, s3)), introduced(assumption)).
% 78.51/50.85 tff(11141,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11142,plain,
% 78.51/50.85 (((~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11143,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2)))),
% 78.51/50.85 inference(monotonicity,[status(thm)],[11142])).
% 78.51/50.85 tff(11144,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(transitivity,[status(thm)],[11143, 11141])).
% 78.51/50.85 tff(11145,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11146,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node14(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 78.51/50.85 tff(11147,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11146, 575, 10951, 11140, 11139])).
% 78.51/50.85 tff(11148,plain,((~node14(c_e_h_2, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11149,plain,
% 78.51/50.85 (~node14(c_e_h_2, c_e, s2, s3)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11148, 11138, 10951])).
% 78.51/50.85 tff(11150,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11151,plain,
% 78.51/50.85 ((node16(c_e_h_2, c_e, s2) | node14(c_e_h_2, c_e, s2, s3) | node15(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3))) <=> (node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11152,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s2) | node14(c_e_h_2, c_e, s2, s3) | node15(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3))))),
% 78.51/50.85 inference(monotonicity,[status(thm)],[11151])).
% 78.51/50.85 tff(11153,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s2) | node14(c_e_h_2, c_e, s2, s3) | node15(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.85 inference(transitivity,[status(thm)],[11152, 11150])).
% 78.51/50.85 tff(11154,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s2) | node14(c_e_h_2, c_e, s2, s3) | node15(c_e_h_2, c_e, s2, s3) | (~node19(c_e_h_2, c_e, s2, s3)))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11155,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2) | (~node19(c_e_h_2, c_e, s2, s3))),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11154, 11153])).
% 78.51/50.85 tff(11156,plain,
% 78.51/50.85 (node15(c_e_h_2, c_e, s2, s3) | node14(c_e_h_2, c_e, s2, s3) | node16(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11155, 594, 11095])).
% 78.51/50.85 tff(11157,plain,
% 78.51/50.85 (node15(c_e_h_2, c_e, s2, s3)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11156, 11149, 11136])).
% 78.51/50.85 tff(11158,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node15(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node15(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11159,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node15(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11160,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | (~node15(c_e_h_2, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 78.51/50.85 tff(11161,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11160, 612, 10951, 11083, 11157])).
% 78.51/50.85 tff(11162,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s2) | (~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11163,plain,
% 78.51/50.85 ((~m_c_h_element_v_out(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11162, 11081])).
% 78.51/50.85 tff(11164,plain,
% 78.51/50.85 (m_c_h_element_v_in2(c_e_h_2, c_e, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11163, 10951])).
% 78.51/50.85 tff(11165,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.51/50.85 tff(11166,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_c, s1)), introduced(assumption)).
% 78.51/50.85 tff(11167,assumption,(node22(c_e_h_2, c_c, s1, s2)), introduced(assumption)).
% 78.51/50.85 tff(11168,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node22(c_e_h_2, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node22(c_e_h_2, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11169,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node22(c_e_h_2, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11170,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node22(c_e_h_2, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1)),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 78.51/50.85 tff(11171,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11170, 437, 11167, 11165, 11166])).
% 78.51/50.85 tff(11172,plain,((~node22(c_e_h_2, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11173,plain,
% 78.51/50.85 ((~node22(c_e_h_2, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11172, 10984])).
% 78.51/50.85 tff(11174,plain,
% 78.51/50.85 (~node22(c_e_h_2, c_c, s1, s2)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11173, 11165])).
% 78.51/50.85 tff(11175,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_a, s1)), introduced(assumption)).
% 78.51/50.85 tff(11176,assumption,(m_user_v_req(c_e_h_2, c_u, s0)), introduced(assumption)).
% 78.51/50.85 tff(11177,plain,
% 78.51/50.85 ((~![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))) | (~m_user_v_req(c_e_h_2, c_u, s0))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11178,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11177, 2755, 11176])).
% 78.51/50.85 tff(11179,plain,(~m_user_v_req(c_e_h_2, c_u, s0)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11180,plain,
% 78.51/50.85 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s0)) | m_user_v_req(c_e_h_2, c_u, s0))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s0)) | m_user_v_req(c_e_h_2, c_u, s0))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11181,plain,
% 78.51/50.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s0)) | m_user_v_req(c_e_h_2, c_u, s0))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11182,plain,
% 78.51/50.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s0)) | m_user_v_req(c_e_h_2, c_u, s0)),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11181, 11180])).
% 78.51/50.85 tff(11183,plain,
% 78.51/50.85 (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s0)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11182, 2765, 11179])).
% 78.51/50.85 tff(11184,assumption,(node12(c_e_h_2, c_a, s0, s1)), introduced(assumption)).
% 78.51/50.85 tff(11185,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11186,plain,
% 78.51/50.85 (((~node12(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11187,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1))))),
% 78.51/50.85 inference(monotonicity,[status(thm)],[11186])).
% 78.51/50.85 tff(11188,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))),
% 78.51/50.85 inference(transitivity,[status(thm)],[11187, 11185])).
% 78.51/50.85 tff(11189,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11190,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s0) | (~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1))),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11189, 11188])).
% 78.51/50.85 tff(11191,plain,
% 78.51/50.85 ($false),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11190, 1082, 11184, 11175, 11183])).
% 78.51/50.85 tff(11192,plain,((~node12(c_e_h_2, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1))), inference(lemma,lemma(discharge,[]))).
% 78.51/50.85 tff(11193,plain,
% 78.51/50.85 (~node12(c_e_h_2, c_a, s0, s1)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11192, 11175])).
% 78.51/50.85 tff(11194,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_2, c_a, s0, s1) | node13(c_e_h_2, c_a, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_2, c_a, s0, s1) | node13(c_e_h_2, c_a, s0, s1))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11195,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_2, c_a, s0, s1) | node13(c_e_h_2, c_a, s0, s1))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11196,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_2, c_a, s0, s1) | node13(c_e_h_2, c_a, s0, s1)),
% 78.51/50.85 inference(modus_ponens,[status(thm)],[11195, 11194])).
% 78.51/50.85 tff(11197,plain,
% 78.51/50.85 (node12(c_e_h_2, c_a, s0, s1) | node13(c_e_h_2, c_a, s0, s1)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11196, 1020, 183])).
% 78.51/50.85 tff(11198,plain,
% 78.51/50.85 (node13(c_e_h_2, c_a, s0, s1)),
% 78.51/50.85 inference(unit_resolution,[status(thm)],[11197, 11193])).
% 78.51/50.85 tff(11199,plain,
% 78.51/50.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)) | (~node13(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)) | (~node13(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))),
% 78.51/50.85 inference(rewrite,[status(thm)],[])).
% 78.51/50.85 tff(11200,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)) | (~node13(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0))),
% 78.51/50.85 inference(quant_inst,[status(thm)],[])).
% 78.51/50.85 tff(11201,plain,
% 78.51/50.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)) | (~node13(c_e_h_2, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s0)),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 78.51/50.86 tff(11202,plain,
% 78.51/50.86 ($false),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11201, 1004, 11198, 11175, 10955])).
% 78.51/50.86 tff(11203,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.86 tff(11204,plain,
% 78.51/50.86 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11205,plain,
% 78.51/50.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))),
% 78.51/50.86 inference(quant_inst,[status(thm)],[])).
% 78.51/50.86 tff(11206,plain,
% 78.51/50.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1)),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 78.51/50.86 tff(11207,plain,
% 78.51/50.86 (~m_and_h_gate_v_in1(c_e_h_2, c_c, s1)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11206, 2644, 11203])).
% 78.51/50.86 tff(11208,plain,
% 78.51/50.86 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s1))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11209,plain,
% 78.51/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s1))),
% 78.51/50.86 inference(quant_inst,[status(thm)],[])).
% 78.51/50.86 tff(11210,plain,
% 78.51/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s1)),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 78.51/50.86 tff(11211,plain,
% 78.51/50.86 (~node20(c_e_h_2, c_c, s1)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11210, 22, 11207])).
% 78.51/50.86 tff(11212,assumption,(~node20(c_e_h_2, c_c, s1)), introduced(assumption)).
% 78.51/50.86 tff(11213,assumption,(node21(c_e_h_2, c_c, s1, s2)), introduced(assumption)).
% 78.51/50.86 tff(11214,plain,
% 78.51/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node21(c_e_h_2, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node21(c_e_h_2, c_c, s1, s2)))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11215,plain,
% 78.51/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node21(c_e_h_2, c_c, s1, s2)))),
% 78.51/50.86 inference(quant_inst,[status(thm)],[])).
% 78.51/50.86 tff(11216,plain,
% 78.51/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | (~node21(c_e_h_2, c_c, s1, s2))),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11215, 11214])).
% 78.51/50.86 tff(11217,plain,
% 78.51/50.86 ($false),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11216, 348, 11213, 11165, 11212])).
% 78.51/50.86 tff(11218,plain,((~node21(c_e_h_2, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2)) | node20(c_e_h_2, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.86 tff(11219,plain,
% 78.51/50.86 ((~node21(c_e_h_2, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11218, 11211])).
% 78.51/50.86 tff(11220,plain,
% 78.51/50.86 (~node21(c_e_h_2, c_c, s1, s2)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11219, 11165])).
% 78.51/50.86 tff(11221,plain,
% 78.51/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_c, s1, s2) | node22(c_e_h_2, c_c, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_c, s1, s2) | node22(c_e_h_2, c_c, s1, s2))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11222,plain,
% 78.51/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_c, s1, s2) | node22(c_e_h_2, c_c, s1, s2))),
% 78.51/50.86 inference(quant_inst,[status(thm)],[])).
% 78.51/50.86 tff(11223,plain,
% 78.51/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_c, s1, s2) | node22(c_e_h_2, c_c, s1, s2)),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 78.51/50.86 tff(11224,plain,
% 78.51/50.86 (node21(c_e_h_2, c_c, s1, s2) | node22(c_e_h_2, c_c, s1, s2)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11223, 383, 265])).
% 78.51/50.86 tff(11225,plain,
% 78.51/50.86 ($false),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11224, 11220, 11174])).
% 78.51/50.86 tff(11226,plain,(~m_and_h_gate_v_out(c_e_h_2, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.86 tff(11227,plain,
% 78.51/50.86 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11228,plain,
% 78.51/50.86 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.51/50.86 inference(quant_inst,[status(thm)],[])).
% 78.51/50.86 tff(11229,plain,
% 78.51/50.86 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2)),
% 78.51/50.86 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 78.51/50.86 tff(11230,plain,
% 78.51/50.86 (~m_c_h_element_v_in1(c_e_h_2, c_e, s2)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11229, 4240, 11226])).
% 78.51/50.86 tff(11231,plain,
% 78.51/50.86 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s2)) | (~node17(c_e_h_2, c_e, s2))),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11124, 1172, 11230])).
% 78.51/50.86 tff(11232,plain,
% 78.51/50.86 (~node17(c_e_h_2, c_e, s2)),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11231, 11164])).
% 78.51/50.86 tff(11233,plain,
% 78.51/50.86 ($false),
% 78.51/50.86 inference(unit_resolution,[status(thm)],[11102, 11232, 11090])).
% 78.51/50.86 tff(11234,plain,(~m_c_h_element_v_out(c_e_h_2, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 78.51/50.86 tff(11235,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s4)), introduced(assumption)).
% 78.51/50.86 tff(11236,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.51/50.86 tff(11237,assumption,(node18(c_e_h_2, c_e, s3, s4)), introduced(assumption)).
% 78.51/50.86 tff(11238,plain,
% 78.51/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4)))),
% 78.51/50.86 inference(rewrite,[status(thm)],[])).
% 78.51/50.86 tff(11239,plain,
% 78.51/50.86 (((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~node18(c_e_h_2, c_e, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11240,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~node18(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4))))),
% 78.60/50.86 inference(monotonicity,[status(thm)],[11239])).
% 78.60/50.86 tff(11241,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~node18(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.86 inference(transitivity,[status(thm)],[11240, 11238])).
% 78.60/50.86 tff(11242,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~node18(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11243,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node18(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 78.60/50.86 tff(11244,plain,
% 78.60/50.86 ($false),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11243, 481, 11236, 11235, 11237])).
% 78.60/50.86 tff(11245,plain,((~node18(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.86 tff(11246,plain,
% 78.60/50.86 (~node18(c_e_h_2, c_e, s3, s4)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11245, 11236, 11235])).
% 78.60/50.86 tff(11247,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_2, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11248,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11249,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_2, c_e, s3, s4)),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 78.60/50.86 tff(11250,plain,
% 78.60/50.86 (node19(c_e_h_2, c_e, s3, s4)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11249, 494, 711])).
% 78.60/50.86 tff(11251,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11252,plain,
% 78.60/50.86 ((node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4))) <=> ((~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11253,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.86 inference(monotonicity,[status(thm)],[11252])).
% 78.60/50.86 tff(11254,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(transitivity,[status(thm)],[11253, 11251])).
% 78.60/50.86 tff(11255,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11256,plain,
% 78.60/50.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4)),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 78.60/50.86 tff(11257,plain,
% 78.60/50.86 (node17(c_e_h_2, c_e, s3) | node18(c_e_h_2, c_e, s3, s4)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11256, 508, 11250])).
% 78.60/50.86 tff(11258,plain,
% 78.60/50.86 (node17(c_e_h_2, c_e, s3)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11257, 11246])).
% 78.60/50.86 tff(11259,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.60/50.86 tff(11260,plain,
% 78.60/50.86 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11261,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11262,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s3)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 78.60/50.86 tff(11263,plain,
% 78.60/50.86 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s3)) | (~node17(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11262, 541, 11259])).
% 78.60/50.86 tff(11264,plain,
% 78.60/50.86 (~m_c_h_element_v_in1(c_e_h_2, c_e, s3)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11263, 11258])).
% 78.60/50.86 tff(11265,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.60/50.86 tff(11266,assumption,(~node15(c_e_h_2, c_e, s3, s4)), introduced(assumption)).
% 78.60/50.86 tff(11267,assumption,(node17(c_e_h_2, c_e, s3)), introduced(assumption)).
% 78.60/50.86 tff(11268,plain,
% 78.60/50.86 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11269,plain,
% 78.60/50.86 ((m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | (~node17(c_e_h_2, c_e, s3))) <=> (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11270,plain,
% 78.60/50.86 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | (~node17(c_e_h_2, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3))))),
% 78.60/50.86 inference(monotonicity,[status(thm)],[11269])).
% 78.60/50.86 tff(11271,plain,
% 78.60/50.86 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | (~node17(c_e_h_2, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(transitivity,[status(thm)],[11270, 11268])).
% 78.60/50.86 tff(11272,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)) | (~node17(c_e_h_2, c_e, s3)))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11273,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~node17(c_e_h_2, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 78.60/50.86 tff(11274,plain,
% 78.60/50.86 (m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11273, 1172, 11267])).
% 78.60/50.86 tff(11275,plain,
% 78.60/50.86 (~m_c_h_element_v_in2(c_e_h_2, c_e, s3)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11274, 11265])).
% 78.60/50.86 tff(11276,plain,
% 78.60/50.86 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | m_c_h_element_v_in2(c_e_h_2, c_e, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | m_c_h_element_v_in2(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11277,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | m_c_h_element_v_in2(c_e_h_2, c_e, s3))),
% 78.60/50.86 inference(quant_inst,[status(thm)],[])).
% 78.60/50.86 tff(11278,plain,
% 78.60/50.86 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s3)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | m_c_h_element_v_in2(c_e_h_2, c_e, s3)),
% 78.60/50.86 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 78.60/50.86 tff(11279,plain,
% 78.60/50.86 (~node16(c_e_h_2, c_e, s3)),
% 78.60/50.86 inference(unit_resolution,[status(thm)],[11278, 559, 11265, 11275])).
% 78.60/50.86 tff(11280,plain,
% 78.60/50.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4))),
% 78.60/50.86 inference(rewrite,[status(thm)],[])).
% 78.60/50.86 tff(11281,plain,
% 78.60/50.86 ((node16(c_e_h_2, c_e, s3) | node14(c_e_h_2, c_e, s3, s4) | node15(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4))) <=> ((~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11282,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s3) | node14(c_e_h_2, c_e, s3, s4) | node15(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.87 inference(monotonicity,[status(thm)],[11281])).
% 78.60/50.87 tff(11283,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s3) | node14(c_e_h_2, c_e, s3, s4) | node15(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4))),
% 78.60/50.87 inference(transitivity,[status(thm)],[11282, 11280])).
% 78.60/50.87 tff(11284,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s3) | node14(c_e_h_2, c_e, s3, s4) | node15(c_e_h_2, c_e, s3, s4) | (~node19(c_e_h_2, c_e, s3, s4)))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11285,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s3, s4)) | node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11284, 11283])).
% 78.60/50.87 tff(11286,plain,
% 78.60/50.87 (node16(c_e_h_2, c_e, s3) | node15(c_e_h_2, c_e, s3, s4) | node14(c_e_h_2, c_e, s3, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11285, 594, 11250])).
% 78.60/50.87 tff(11287,plain,
% 78.60/50.87 (node14(c_e_h_2, c_e, s3, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11286, 11279, 11266])).
% 78.60/50.87 tff(11288,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11289,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11290,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4))),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 78.60/50.87 tff(11291,plain,
% 78.60/50.87 ($false),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11290, 575, 11235, 11287, 11265])).
% 78.60/50.87 tff(11292,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | node15(c_e_h_2, c_e, s3, s4) | (~node17(c_e_h_2, c_e, s3))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.87 tff(11293,plain,
% 78.60/50.87 (node15(c_e_h_2, c_e, s3, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11292, 11264, 11235, 11258])).
% 78.60/50.87 tff(11294,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node15(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node15(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11295,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node15(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11296,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | (~node15(c_e_h_2, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_2, c_e, s3)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 78.60/50.87 tff(11297,plain,
% 78.60/50.87 ($false),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11296, 612, 11236, 11235, 11293])).
% 78.60/50.87 tff(11298,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s3) | (~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 78.60/50.87 tff(11299,plain,
% 78.60/50.87 ((~m_c_h_element_v_out(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11298, 11234])).
% 78.60/50.87 tff(11300,plain,
% 78.60/50.87 (~m_c_h_element_v_out(c_e_h_2, c_e, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11299, 10950])).
% 78.60/50.87 tff(11301,plain,
% 78.60/50.87 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4) | m_c_h_element_v_out(c_e_h_2, c_e, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4) | m_c_h_element_v_out(c_e_h_2, c_e, s4))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11302,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4) | m_c_h_element_v_out(c_e_h_2, c_e, s4))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11303,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4) | m_c_h_element_v_out(c_e_h_2, c_e, s4)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 78.60/50.87 tff(11304,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4) | m_c_h_element_v_out(c_e_h_2, c_e, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11303, 3964])).
% 78.60/50.87 tff(11305,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11304, 11300])).
% 78.60/50.87 tff(11306,plain,
% 78.60/50.87 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3) | m_c_h_element_v_out(c_e_h_2, c_e, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3) | m_c_h_element_v_out(c_e_h_2, c_e, s3))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11307,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3) | m_c_h_element_v_out(c_e_h_2, c_e, s3))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11308,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3) | m_c_h_element_v_out(c_e_h_2, c_e, s3)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11307, 11306])).
% 78.60/50.87 tff(11309,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3) | m_c_h_element_v_out(c_e_h_2, c_e, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11308, 3964])).
% 78.60/50.87 tff(11310,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11309, 11234])).
% 78.60/50.87 tff(11311,plain,
% 78.60/50.87 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2) | m_c_h_element_v_out(c_e_h_2, c_e, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2) | m_c_h_element_v_out(c_e_h_2, c_e, s2))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11312,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2) | m_c_h_element_v_out(c_e_h_2, c_e, s2))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11313,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2) | m_c_h_element_v_out(c_e_h_2, c_e, s2)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 78.60/50.87 tff(11314,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2) | m_c_h_element_v_out(c_e_h_2, c_e, s2)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11313, 3964])).
% 78.60/50.87 tff(11315,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11314, 11081])).
% 78.60/50.87 tff(11316,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)), introduced(assumption)).
% 78.60/50.87 tff(11317,plain,
% 78.60/50.87 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11318,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11319,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 78.60/50.87 tff(11320,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11319, 3976])).
% 78.60/50.87 tff(11321,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11320, 10198])).
% 78.60/50.87 tff(11322,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)), introduced(assumption)).
% 78.60/50.87 tff(11323,assumption,(node10(c_e_h_2, c_n, s2, s3)), introduced(assumption)).
% 78.60/50.87 tff(11324,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)), introduced(assumption)).
% 78.60/50.87 tff(11325,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11326,plain,
% 78.60/50.87 (((~node10(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11327,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3))))),
% 78.60/50.87 inference(monotonicity,[status(thm)],[11326])).
% 78.60/50.87 tff(11328,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(transitivity,[status(thm)],[11327, 11325])).
% 78.60/50.87 tff(11329,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11330,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | (~node10(c_e_h_2, c_n, s2, s3))),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 78.60/50.87 tff(11331,plain,
% 78.60/50.87 ($false),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11330, 160, 11324, 11322, 11316, 11323])).
% 78.60/50.87 tff(11332,plain,((~node10(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.87 tff(11333,plain,
% 78.60/50.87 (~node10(c_e_h_2, c_n, s2, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11332, 11322, 11321, 11316])).
% 78.60/50.87 tff(11334,assumption,(node11(c_e_h_2, c_n, s2, s3)), introduced(assumption)).
% 78.60/50.87 tff(11335,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)), introduced(assumption)).
% 78.60/50.87 tff(11336,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11337,plain,
% 78.60/50.87 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11338,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3))))),
% 78.60/50.87 inference(monotonicity,[status(thm)],[11337])).
% 78.60/50.87 tff(11339,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)))),
% 78.60/50.87 inference(transitivity,[status(thm)],[11338, 11336])).
% 78.60/50.87 tff(11340,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11341,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~node11(c_e_h_2, c_n, s2, s3))),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11340, 11339])).
% 78.60/50.87 tff(11342,plain,
% 78.60/50.87 ($false),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11341, 208, 11335, 11322, 11334])).
% 78.60/50.87 tff(11343,plain,((~node11(c_e_h_2, c_n, s2, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)), inference(lemma,lemma(discharge,[]))).
% 78.60/50.87 tff(11344,plain,
% 78.60/50.87 (~node11(c_e_h_2, c_n, s2, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11343, 11322, 10516])).
% 78.60/50.87 tff(11345,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_2, c_n, s2, s3) | node11(c_e_h_2, c_n, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_2, c_n, s2, s3) | node11(c_e_h_2, c_n, s2, s3))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11346,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s2, s3)) | node10(c_e_h_2, c_n, s2, s3) | node11(c_e_h_2, c_n, s2, s3))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11347,plain,
% 78.60/50.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s2, s3)) | node10(c_e_h_2, c_n, s2, s3) | node11(c_e_h_2, c_n, s2, s3)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11346, 11345])).
% 78.60/50.87 tff(11348,plain,
% 78.60/50.87 (node10(c_e_h_2, c_n, s2, s3) | node11(c_e_h_2, c_n, s2, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11347, 193, 463])).
% 78.60/50.87 tff(11349,plain,
% 78.60/50.87 ($false),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11348, 11344, 11333])).
% 78.60/50.87 tff(11350,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s2))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.87 tff(11351,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11350, 11315])).
% 78.60/50.87 tff(11352,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)), introduced(assumption)).
% 78.60/50.87 tff(11353,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)), introduced(assumption)).
% 78.60/50.87 tff(11354,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)), introduced(assumption)).
% 78.60/50.87 tff(11355,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)), introduced(assumption)).
% 78.60/50.87 tff(11356,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)), introduced(assumption)).
% 78.60/50.87 tff(11357,plain,
% 78.60/50.87 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11358,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.60/50.87 inference(quant_inst,[status(thm)],[])).
% 78.60/50.87 tff(11359,plain,
% 78.60/50.87 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)),
% 78.60/50.87 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 78.60/50.87 tff(11360,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11359, 3976])).
% 78.60/50.87 tff(11361,plain,
% 78.60/50.87 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)),
% 78.60/50.87 inference(unit_resolution,[status(thm)],[11360, 10544])).
% 78.60/50.87 tff(11362,assumption,(node10(c_e_h_2, c_n, s3, s4)), introduced(assumption)).
% 78.60/50.87 tff(11363,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)), introduced(assumption)).
% 78.60/50.87 tff(11364,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11365,plain,
% 78.60/50.87 (((~node10(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.87 inference(rewrite,[status(thm)],[])).
% 78.60/50.87 tff(11366,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4))))),
% 78.60/50.87 inference(monotonicity,[status(thm)],[11365])).
% 78.60/50.87 tff(11367,plain,
% 78.60/50.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.88 inference(transitivity,[status(thm)],[11366, 11364])).
% 78.60/50.88 tff(11368,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11369,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3)) | (~node10(c_e_h_2, c_n, s3, s4))),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 78.60/50.88 tff(11370,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11369, 160, 11363, 11356, 11354, 11362])).
% 78.60/50.88 tff(11371,plain,((~node10(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.88 tff(11372,plain,
% 78.60/50.88 ((~node10(c_e_h_2, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11371, 11361])).
% 78.60/50.88 tff(11373,plain,
% 78.60/50.88 (~node10(c_e_h_2, c_n, s3, s4)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11372, 11356, 11354])).
% 78.60/50.88 tff(11374,assumption,(node11(c_e_h_2, c_n, s3, s4)), introduced(assumption)).
% 78.60/50.88 tff(11375,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11376,plain,
% 78.60/50.88 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~node11(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11377,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~node11(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4))))),
% 78.60/50.88 inference(monotonicity,[status(thm)],[11376])).
% 78.60/50.88 tff(11378,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~node11(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4)))),
% 78.60/50.88 inference(transitivity,[status(thm)],[11377, 11375])).
% 78.60/50.88 tff(11379,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~node11(c_e_h_2, c_n, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11380,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~node11(c_e_h_2, c_n, s3, s4))),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 78.60/50.88 tff(11381,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11380, 208, 11356, 11355, 11374])).
% 78.60/50.88 tff(11382,plain,((~node11(c_e_h_2, c_n, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.88 tff(11383,plain,
% 78.60/50.88 (~node11(c_e_h_2, c_n, s3, s4)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11382, 11356, 11355])).
% 78.60/50.88 tff(11384,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_2, c_n, s3, s4) | node11(c_e_h_2, c_n, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_2, c_n, s3, s4) | node11(c_e_h_2, c_n, s3, s4))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11385,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_2, c_n, s3, s4) | node11(c_e_h_2, c_n, s3, s4))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11386,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_2, c_n, s3, s4) | node11(c_e_h_2, c_n, s3, s4)),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 78.60/50.88 tff(11387,plain,
% 78.60/50.88 (node10(c_e_h_2, c_n, s3, s4) | node11(c_e_h_2, c_n, s3, s4)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11386, 193, 711])).
% 78.60/50.88 tff(11388,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11387, 11383, 11373])).
% 78.60/50.88 tff(11389,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.88 tff(11390,plain,
% 78.60/50.88 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11389, 11355, 11354])).
% 78.60/50.88 tff(11391,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)), introduced(assumption)).
% 78.60/50.88 tff(11392,assumption,(node11(c_e_h_2, c_n, s4, s5)), introduced(assumption)).
% 78.60/50.88 tff(11393,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11394,plain,
% 78.60/50.88 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~node11(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11395,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~node11(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5))))),
% 78.60/50.88 inference(monotonicity,[status(thm)],[11394])).
% 78.60/50.88 tff(11396,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~node11(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(transitivity,[status(thm)],[11395, 11393])).
% 78.60/50.88 tff(11397,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~node11(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11398,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | (~node11(c_e_h_2, c_n, s4, s5))),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 78.60/50.88 tff(11399,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11398, 208, 11391, 11353, 11392])).
% 78.60/50.88 tff(11400,plain,((~node11(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)), inference(lemma,lemma(discharge,[]))).
% 78.60/50.88 tff(11401,plain,
% 78.60/50.88 (~node11(c_e_h_2, c_n, s4, s5)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11400, 11353, 11391])).
% 78.60/50.88 tff(11402,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)), introduced(assumption)).
% 78.60/50.88 tff(11403,assumption,(node10(c_e_h_2, c_n, s4, s5)), introduced(assumption)).
% 78.60/50.88 tff(11404,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11405,plain,
% 78.60/50.88 (((~node10(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11406,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5))))),
% 78.60/50.88 inference(monotonicity,[status(thm)],[11405])).
% 78.60/50.88 tff(11407,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5)))),
% 78.60/50.88 inference(transitivity,[status(thm)],[11406, 11404])).
% 78.60/50.88 tff(11408,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s4, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11409,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~node10(c_e_h_2, c_n, s4, s5))),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 78.60/50.88 tff(11410,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11409, 160, 11353, 11402, 11352, 11403])).
% 78.60/50.88 tff(11411,plain,((~node10(c_e_h_2, c_n, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 78.60/50.88 tff(11412,plain,
% 78.60/50.88 (~node10(c_e_h_2, c_n, s4, s5)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11411, 11353, 11352, 11402])).
% 78.60/50.88 tff(11413,plain,
% 78.60/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_2, c_n, s4, s5) | node11(c_e_h_2, c_n, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_2, c_n, s4, s5) | node11(c_e_h_2, c_n, s4, s5))),
% 78.60/50.88 inference(rewrite,[status(thm)],[])).
% 78.60/50.88 tff(11414,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_2, c_n, s4, s5) | node11(c_e_h_2, c_n, s4, s5))),
% 78.60/50.88 inference(quant_inst,[status(thm)],[])).
% 78.60/50.88 tff(11415,plain,
% 78.60/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_2, c_n, s4, s5) | node11(c_e_h_2, c_n, s4, s5)),
% 78.60/50.88 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 78.60/50.88 tff(11416,plain,
% 78.60/50.88 (node10(c_e_h_2, c_n, s4, s5) | node11(c_e_h_2, c_n, s4, s5)),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11415, 193, 930])).
% 78.60/50.88 tff(11417,plain,
% 78.60/50.88 ($false),
% 78.60/50.88 inference(unit_resolution,[status(thm)],[11416, 11412, 11401])).
% 78.62/50.88 tff(11418,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.88 tff(11419,plain,
% 78.62/50.88 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11418, 11390, 11353, 11352])).
% 78.62/50.88 tff(11420,plain,
% 78.62/50.88 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.62/50.88 inference(rewrite,[status(thm)],[])).
% 78.62/50.88 tff(11421,plain,
% 78.62/50.88 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.62/50.88 inference(quant_inst,[status(thm)],[])).
% 78.62/50.88 tff(11422,plain,
% 78.62/50.88 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.62/50.88 inference(modus_ponens,[status(thm)],[11421, 11420])).
% 78.62/50.88 tff(11423,plain,
% 78.62/50.88 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11422, 3976])).
% 78.62/50.88 tff(11424,plain,
% 78.62/50.88 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11423, 11419])).
% 78.62/50.88 tff(11425,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)), introduced(assumption)).
% 78.62/50.88 tff(11426,assumption,(node11(c_e_h_2, c_m, s3, s4)), introduced(assumption)).
% 78.62/50.88 tff(11427,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)), introduced(assumption)).
% 78.62/50.88 tff(11428,plain,
% 78.62/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node11(c_e_h_2, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node11(c_e_h_2, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.62/50.88 inference(rewrite,[status(thm)],[])).
% 78.62/50.88 tff(11429,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node11(c_e_h_2, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.62/50.88 inference(quant_inst,[status(thm)],[])).
% 78.62/50.88 tff(11430,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node11(c_e_h_2, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)),
% 78.62/50.88 inference(modus_ponens,[status(thm)],[11429, 11428])).
% 78.62/50.88 tff(11431,plain,
% 78.62/50.88 ($false),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11430, 282, 11427, 11425, 11426])).
% 78.62/50.88 tff(11432,plain,((~node11(c_e_h_2, c_m, s3, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.88 tff(11433,plain,
% 78.62/50.88 ((~node11(c_e_h_2, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11432, 10544])).
% 78.62/50.88 tff(11434,plain,
% 78.62/50.88 (~node11(c_e_h_2, c_m, s3, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11433, 11425])).
% 78.62/50.88 tff(11435,assumption,(~node9(c_e_h_2, c_m, s3)), introduced(assumption)).
% 78.62/50.88 tff(11436,assumption,(node10(c_e_h_2, c_m, s3, s4)), introduced(assumption)).
% 78.62/50.88 tff(11437,plain,
% 78.62/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3))),
% 78.62/50.88 inference(rewrite,[status(thm)],[])).
% 78.62/50.88 tff(11438,plain,
% 78.62/50.88 ((node9(c_e_h_2, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3))),
% 78.62/50.88 inference(rewrite,[status(thm)],[])).
% 78.62/50.88 tff(11439,plain,
% 78.62/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3)))),
% 78.62/50.88 inference(monotonicity,[status(thm)],[11438])).
% 78.62/50.88 tff(11440,plain,
% 78.62/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3))),
% 78.62/50.88 inference(transitivity,[status(thm)],[11439, 11437])).
% 78.62/50.88 tff(11441,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s3) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)))),
% 78.62/50.88 inference(quant_inst,[status(thm)],[])).
% 78.62/50.88 tff(11442,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | (~node10(c_e_h_2, c_m, s3, s4)) | node9(c_e_h_2, c_m, s3)),
% 78.62/50.88 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 78.62/50.88 tff(11443,plain,
% 78.62/50.88 ($false),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11442, 252, 11425, 11436, 11435])).
% 78.62/50.88 tff(11444,plain,((~node10(c_e_h_2, c_m, s3, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | node9(c_e_h_2, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.88 tff(11445,plain,
% 78.62/50.88 (~node10(c_e_h_2, c_m, s3, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11444, 11425, 11435])).
% 78.62/50.88 tff(11446,plain,
% 78.62/50.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_2, c_m, s3, s4) | node11(c_e_h_2, c_m, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_2, c_m, s3, s4) | node11(c_e_h_2, c_m, s3, s4))),
% 78.62/50.88 inference(rewrite,[status(thm)],[])).
% 78.62/50.88 tff(11447,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s3, s4)) | node10(c_e_h_2, c_m, s3, s4) | node11(c_e_h_2, c_m, s3, s4))),
% 78.62/50.88 inference(quant_inst,[status(thm)],[])).
% 78.62/50.88 tff(11448,plain,
% 78.62/50.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s3, s4)) | node10(c_e_h_2, c_m, s3, s4) | node11(c_e_h_2, c_m, s3, s4)),
% 78.62/50.88 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 78.62/50.88 tff(11449,plain,
% 78.62/50.88 (node10(c_e_h_2, c_m, s3, s4) | node11(c_e_h_2, c_m, s3, s4)),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11448, 193, 711])).
% 78.62/50.88 tff(11450,plain,
% 78.62/50.88 ($false),
% 78.62/50.88 inference(unit_resolution,[status(thm)],[11449, 11445, 11434])).
% 78.62/50.89 tff(11451,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)) | node9(c_e_h_2, c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.89 tff(11452,plain,
% 78.62/50.89 (node9(c_e_h_2, c_m, s3)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11451, 11424])).
% 78.62/50.89 tff(11453,plain,
% 78.62/50.89 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11454,plain,
% 78.62/50.89 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11455,plain,
% 78.62/50.89 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3))),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 78.62/50.89 tff(11456,plain,
% 78.62/50.89 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11455, 3886, 11355])).
% 78.62/50.89 tff(11457,plain,
% 78.62/50.89 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11458,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11459,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s3)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 78.62/50.89 tff(11460,plain,
% 78.62/50.89 ($false),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11459, 238, 11456, 11452])).
% 78.62/50.89 tff(11461,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.89 tff(11462,plain,
% 78.62/50.89 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11461, 11351])).
% 78.62/50.89 tff(11463,plain,
% 78.62/50.89 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s4))),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11462, 11310])).
% 78.62/50.89 tff(11464,plain,
% 78.62/50.89 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11463, 11305])).
% 78.62/50.89 tff(11465,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s4)), introduced(assumption)).
% 78.62/50.89 tff(11466,plain,
% 78.62/50.89 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11467,plain,
% 78.62/50.89 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11468,plain,
% 78.62/50.89 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 78.62/50.89 tff(11469,plain,
% 78.62/50.89 ($false),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11468, 4785, 10844, 11465])).
% 78.62/50.89 tff(11470,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s4)) | m_and_h_gate_v_out(c_e_h_2, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.89 tff(11471,plain,
% 78.62/50.89 (~m_c_h_element_v_in2(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11470, 10843])).
% 78.62/50.89 tff(11472,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.62/50.89 tff(11473,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s4)), introduced(assumption)).
% 78.62/50.89 tff(11474,assumption,(node18(c_e_h_2, c_e, s4, s5)), introduced(assumption)).
% 78.62/50.89 tff(11475,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11476,plain,
% 78.62/50.89 (((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~node18(c_e_h_2, c_e, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11477,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~node18(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5))))),
% 78.62/50.89 inference(monotonicity,[status(thm)],[11476])).
% 78.62/50.89 tff(11478,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~node18(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(transitivity,[status(thm)],[11477, 11475])).
% 78.62/50.89 tff(11479,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~node18(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11480,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node18(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 78.62/50.89 tff(11481,plain,
% 78.62/50.89 ($false),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11480, 481, 11472, 11473, 11474])).
% 78.62/50.89 tff(11482,plain,((~node18(c_e_h_2, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.89 tff(11483,plain,
% 78.62/50.89 (~node18(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11482, 11473, 11472])).
% 78.62/50.89 tff(11484,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_2, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11485,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11486,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 78.62/50.89 tff(11487,plain,
% 78.62/50.89 (node19(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11486, 494, 930])).
% 78.62/50.89 tff(11488,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11489,plain,
% 78.62/50.89 ((node17(c_e_h_2, c_e, s4) | node18(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5))) <=> (node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11490,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s4) | node18(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(monotonicity,[status(thm)],[11489])).
% 78.62/50.89 tff(11491,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s4) | node18(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5))),
% 78.62/50.89 inference(transitivity,[status(thm)],[11490, 11488])).
% 78.62/50.89 tff(11492,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s4) | node18(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11493,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s4) | (~node19(c_e_h_2, c_e, s4, s5)) | node18(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11492, 11491])).
% 78.62/50.89 tff(11494,plain,
% 78.62/50.89 (node17(c_e_h_2, c_e, s4) | node18(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11493, 508, 11487])).
% 78.62/50.89 tff(11495,plain,
% 78.62/50.89 (node17(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11494, 11483])).
% 78.62/50.89 tff(11496,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s4)), introduced(assumption)).
% 78.62/50.89 tff(11497,plain,
% 78.62/50.89 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11498,plain,
% 78.62/50.89 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4) | (~node17(c_e_h_2, c_e, s4))) <=> ((~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11499,plain,
% 78.62/50.89 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4) | (~node17(c_e_h_2, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4)))),
% 78.62/50.89 inference(monotonicity,[status(thm)],[11498])).
% 78.62/50.89 tff(11500,plain,
% 78.62/50.89 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4) | (~node17(c_e_h_2, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(transitivity,[status(thm)],[11499, 11497])).
% 78.62/50.89 tff(11501,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4) | (~node17(c_e_h_2, c_e, s4)))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11502,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11501, 11500])).
% 78.62/50.89 tff(11503,plain,
% 78.62/50.89 ((~node17(c_e_h_2, c_e, s4)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11502, 541, 11496])).
% 78.62/50.89 tff(11504,plain,
% 78.62/50.89 (~m_c_h_element_v_in1(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11503, 11495])).
% 78.62/50.89 tff(11505,assumption,(node15(c_e_h_2, c_e, s4, s5)), introduced(assumption)).
% 78.62/50.89 tff(11506,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node15(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node15(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11507,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node15(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11508,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | (~node15(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 78.62/50.89 tff(11509,plain,
% 78.62/50.89 ($false),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11508, 612, 11472, 11473, 11505])).
% 78.62/50.89 tff(11510,plain,((~node15(c_e_h_2, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_out(c_e_h_2, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.89 tff(11511,plain,
% 78.62/50.89 (~node15(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11510, 11473, 11472])).
% 78.62/50.89 tff(11512,plain,
% 78.62/50.89 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11513,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | m_c_h_element_v_in2(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11514,plain,
% 78.62/50.89 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | m_c_h_element_v_in2(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11513, 11512])).
% 78.62/50.89 tff(11515,plain,
% 78.62/50.89 ((~node16(c_e_h_2, c_e, s4)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11514, 559, 11496])).
% 78.62/50.89 tff(11516,plain,
% 78.62/50.89 (~node16(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11515, 11504])).
% 78.62/50.89 tff(11517,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11518,plain,
% 78.62/50.89 ((node16(c_e_h_2, c_e, s4) | node14(c_e_h_2, c_e, s4, s5) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5))) <=> (node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(rewrite,[status(thm)],[])).
% 78.62/50.89 tff(11519,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s4) | node14(c_e_h_2, c_e, s4, s5) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4)))),
% 78.62/50.89 inference(monotonicity,[status(thm)],[11518])).
% 78.62/50.89 tff(11520,plain,
% 78.62/50.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s4) | node14(c_e_h_2, c_e, s4, s5) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4))),
% 78.62/50.89 inference(transitivity,[status(thm)],[11519, 11517])).
% 78.62/50.89 tff(11521,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s4) | node14(c_e_h_2, c_e, s4, s5) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.89 inference(quant_inst,[status(thm)],[])).
% 78.62/50.89 tff(11522,plain,
% 78.62/50.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s4, s5) | (~node19(c_e_h_2, c_e, s4, s5)) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(modus_ponens,[status(thm)],[11521, 11520])).
% 78.62/50.89 tff(11523,plain,
% 78.62/50.89 (node15(c_e_h_2, c_e, s4, s5) | node14(c_e_h_2, c_e, s4, s5) | node16(c_e_h_2, c_e, s4)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11522, 594, 11487])).
% 78.62/50.89 tff(11524,plain,
% 78.62/50.89 (node14(c_e_h_2, c_e, s4, s5)),
% 78.62/50.89 inference(unit_resolution,[status(thm)],[11523, 11516, 11511])).
% 78.62/50.89 tff(11525,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11526,plain,
% 78.62/50.90 (((~node14(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11527,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5))))),
% 78.62/50.90 inference(monotonicity,[status(thm)],[11526])).
% 78.62/50.90 tff(11528,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5)))),
% 78.62/50.90 inference(transitivity,[status(thm)],[11527, 11525])).
% 78.62/50.90 tff(11529,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11530,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s4) | (~node14(c_e_h_2, c_e, s4, s5))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 78.62/50.90 tff(11531,plain,
% 78.62/50.90 ($false),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11530, 575, 11472, 11524, 11504])).
% 78.62/50.90 tff(11532,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s4) | (~m_c_h_element_v_out(c_e_h_2, c_e, s5)) | m_c_h_element_v_in2(c_e_h_2, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.90 tff(11533,plain,
% 78.62/50.90 (~m_c_h_element_v_out(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11532, 11471, 11300])).
% 78.62/50.90 tff(11534,plain,
% 78.62/50.90 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s3))),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11389, 11351])).
% 78.62/50.90 tff(11535,plain,
% 78.62/50.90 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11534, 11310])).
% 78.62/50.90 tff(11536,plain,
% 78.62/50.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11537,plain,
% 78.62/50.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11538,plain,
% 78.62/50.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s4))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 78.62/50.90 tff(11539,plain,
% 78.62/50.90 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11538, 3886, 11535])).
% 78.62/50.90 tff(11540,plain,
% 78.62/50.90 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11541,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11542,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s4)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11541, 11540])).
% 78.62/50.90 tff(11543,plain,
% 78.62/50.90 (~node9(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11542, 238, 11539])).
% 78.62/50.90 tff(11544,plain,
% 78.62/50.90 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s3)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11455, 3886, 11351])).
% 78.62/50.90 tff(11545,plain,
% 78.62/50.90 (~node9(c_e_h_2, c_m, s3)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11459, 238, 11544])).
% 78.62/50.90 tff(11546,plain,
% 78.62/50.90 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11451, 11545])).
% 78.62/50.90 tff(11547,assumption,(~node9(c_e_h_2, c_m, s4)), introduced(assumption)).
% 78.62/50.90 tff(11548,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)), introduced(assumption)).
% 78.62/50.90 tff(11549,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)), introduced(assumption)).
% 78.62/50.90 tff(11550,assumption,(node11(c_e_h_2, c_m, s4, s5)), introduced(assumption)).
% 78.62/50.90 tff(11551,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node11(c_e_h_2, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node11(c_e_h_2, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11552,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node11(c_e_h_2, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11553,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node11(c_e_h_2, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 78.62/50.90 tff(11554,plain,
% 78.62/50.90 ($false),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11553, 282, 11548, 11549, 11550])).
% 78.62/50.90 tff(11555,plain,((~node11(c_e_h_2, c_m, s4, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.90 tff(11556,plain,
% 78.62/50.90 (~node11(c_e_h_2, c_m, s4, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11555, 11549, 11548])).
% 78.62/50.90 tff(11557,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_2, c_m, s4, s5) | node11(c_e_h_2, c_m, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_2, c_m, s4, s5) | node11(c_e_h_2, c_m, s4, s5))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11558,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s4, s5)) | node10(c_e_h_2, c_m, s4, s5) | node11(c_e_h_2, c_m, s4, s5))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11559,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s4, s5)) | node10(c_e_h_2, c_m, s4, s5) | node11(c_e_h_2, c_m, s4, s5)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 78.62/50.90 tff(11560,plain,
% 78.62/50.90 (node10(c_e_h_2, c_m, s4, s5) | node11(c_e_h_2, c_m, s4, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11559, 193, 930])).
% 78.62/50.90 tff(11561,plain,
% 78.62/50.90 (node10(c_e_h_2, c_m, s4, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11560, 11556])).
% 78.62/50.90 tff(11562,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11563,plain,
% 78.62/50.90 ((node9(c_e_h_2, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node10(c_e_h_2, c_m, s4, s5))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11564,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node10(c_e_h_2, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5))))),
% 78.62/50.90 inference(monotonicity,[status(thm)],[11563])).
% 78.62/50.90 tff(11565,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node10(c_e_h_2, c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5)))),
% 78.62/50.90 inference(transitivity,[status(thm)],[11564, 11562])).
% 78.62/50.90 tff(11566,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | (~node10(c_e_h_2, c_m, s4, s5)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11567,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | (~node10(c_e_h_2, c_m, s4, s5))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 78.62/50.90 tff(11568,plain,
% 78.62/50.90 ($false),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11567, 252, 11549, 11561, 11547])).
% 78.62/50.90 tff(11569,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.90 tff(11570,plain,
% 78.62/50.90 ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)) | node9(c_e_h_2, c_m, s4)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11569, 11546])).
% 78.62/50.90 tff(11571,plain,
% 78.62/50.90 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11570, 11543])).
% 78.62/50.90 tff(11572,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.62/50.90 tff(11573,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.62/50.90 tff(11574,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.62/50.90 tff(11575,assumption,(node18(c_e_h_2, c_e, s5, s6)), introduced(assumption)).
% 78.62/50.90 tff(11576,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11577,plain,
% 78.62/50.90 (((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~node18(c_e_h_2, c_e, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11578,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~node18(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6))))),
% 78.62/50.90 inference(monotonicity,[status(thm)],[11577])).
% 78.62/50.90 tff(11579,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~node18(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(transitivity,[status(thm)],[11578, 11576])).
% 78.62/50.90 tff(11580,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~node18(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11581,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node18(c_e_h_2, c_e, s5, s6))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 78.62/50.90 tff(11582,plain,
% 78.62/50.90 ($false),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11581, 481, 11574, 11573, 11575])).
% 78.62/50.90 tff(11583,plain,((~node18(c_e_h_2, c_e, s5, s6)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.90 tff(11584,plain,
% 78.62/50.90 (~node18(c_e_h_2, c_e, s5, s6)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11583, 11573, 11574])).
% 78.62/50.90 tff(11585,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_2, c_e, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_2, c_e, s5, s6))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11586,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_2, c_e, s5, s6))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11587,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_2, c_e, s5, s6)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 78.62/50.90 tff(11588,plain,
% 78.62/50.90 (node19(c_e_h_2, c_e, s5, s6)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11587, 494, 1343])).
% 78.62/50.90 tff(11589,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11590,plain,
% 78.62/50.90 ((node17(c_e_h_2, c_e, s5) | node18(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6))) <=> (node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11591,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s5) | node18(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6))))),
% 78.62/50.90 inference(monotonicity,[status(thm)],[11590])).
% 78.62/50.90 tff(11592,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s5) | node18(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(transitivity,[status(thm)],[11591, 11589])).
% 78.62/50.90 tff(11593,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s5) | node18(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11594,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5) | (~node19(c_e_h_2, c_e, s5, s6))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 78.62/50.90 tff(11595,plain,
% 78.62/50.90 (node18(c_e_h_2, c_e, s5, s6) | node17(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11594, 508, 11588])).
% 78.62/50.90 tff(11596,plain,
% 78.62/50.90 (node17(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11595, 11584])).
% 78.62/50.90 tff(11597,assumption,(node15(c_e_h_2, c_e, s5, s6)), introduced(assumption)).
% 78.62/50.90 tff(11598,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node15(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node15(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11599,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node15(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11600,plain,
% 78.62/50.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node15(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 78.62/50.90 tff(11601,plain,
% 78.62/50.90 ($false),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11600, 612, 11574, 11573, 11597])).
% 78.62/50.90 tff(11602,plain,((~node15(c_e_h_2, c_e, s5, s6)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | m_c_h_element_v_out(c_e_h_2, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.90 tff(11603,plain,
% 78.62/50.90 (~node15(c_e_h_2, c_e, s5, s6)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11602, 11573, 11574])).
% 78.62/50.90 tff(11604,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.62/50.90 tff(11605,assumption,(~node15(c_e_h_2, c_e, s5, s6)), introduced(assumption)).
% 78.62/50.90 tff(11606,assumption,(node17(c_e_h_2, c_e, s5)), introduced(assumption)).
% 78.62/50.90 tff(11607,plain,
% 78.62/50.90 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11608,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11609,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 78.62/50.90 tff(11610,plain,
% 78.62/50.90 (m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11609, 1172, 11606])).
% 78.62/50.90 tff(11611,plain,
% 78.62/50.90 (~m_c_h_element_v_in2(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11610, 11604])).
% 78.62/50.90 tff(11612,plain,
% 78.62/50.90 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | m_c_h_element_v_in2(c_e_h_2, c_e, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | m_c_h_element_v_in2(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11613,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | m_c_h_element_v_in2(c_e_h_2, c_e, s5))),
% 78.62/50.90 inference(quant_inst,[status(thm)],[])).
% 78.62/50.90 tff(11614,plain,
% 78.62/50.90 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s5)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | m_c_h_element_v_in2(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 78.62/50.90 tff(11615,plain,
% 78.62/50.90 (~node16(c_e_h_2, c_e, s5)),
% 78.62/50.90 inference(unit_resolution,[status(thm)],[11614, 559, 11604, 11611])).
% 78.62/50.90 tff(11616,plain,
% 78.62/50.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.90 inference(rewrite,[status(thm)],[])).
% 78.62/50.90 tff(11617,plain,
% 78.62/50.90 ((node16(c_e_h_2, c_e, s5) | node14(c_e_h_2, c_e, s5, s6) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6))) <=> (node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11618,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s5) | node14(c_e_h_2, c_e, s5, s6) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6))))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11617])).
% 78.62/50.91 tff(11619,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s5) | node14(c_e_h_2, c_e, s5, s6) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11618, 11616])).
% 78.62/50.91 tff(11620,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s5) | node14(c_e_h_2, c_e, s5, s6) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6)))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11621,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6) | (~node19(c_e_h_2, c_e, s5, s6))),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 78.62/50.91 tff(11622,plain,
% 78.62/50.91 (node14(c_e_h_2, c_e, s5, s6) | node16(c_e_h_2, c_e, s5) | node15(c_e_h_2, c_e, s5, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11621, 594, 11588])).
% 78.62/50.91 tff(11623,plain,
% 78.62/50.91 (node14(c_e_h_2, c_e, s5, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11622, 11615, 11605])).
% 78.62/50.91 tff(11624,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11625,plain,
% 78.62/50.91 (((~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11626,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5)))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11625])).
% 78.62/50.91 tff(11627,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11626, 11624])).
% 78.62/50.91 tff(11628,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11629,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | (~node14(c_e_h_2, c_e, s5, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s5)),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11628, 11627])).
% 78.62/50.91 tff(11630,plain,
% 78.62/50.91 ($false),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11629, 575, 11574, 11623, 11604])).
% 78.62/50.91 tff(11631,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6)) | node15(c_e_h_2, c_e, s5, s6) | (~node17(c_e_h_2, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.91 tff(11632,plain,
% 78.62/50.91 (m_c_h_element_v_in1(c_e_h_2, c_e, s5)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11631, 11596, 11603, 11574])).
% 78.62/50.91 tff(11633,plain,
% 78.62/50.91 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11634,plain,
% 78.62/50.91 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~node17(c_e_h_2, c_e, s5))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11635,plain,
% 78.62/50.91 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~node17(c_e_h_2, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5))))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11634])).
% 78.62/50.91 tff(11636,plain,
% 78.62/50.91 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~node17(c_e_h_2, c_e, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11635, 11633])).
% 78.62/50.91 tff(11637,plain,
% 78.62/50.91 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~node17(c_e_h_2, c_e, s5)))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11638,plain,
% 78.62/50.91 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11637, 11636])).
% 78.62/50.91 tff(11639,plain,
% 78.62/50.91 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s5)) | (~node17(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11638, 541, 11572])).
% 78.62/50.91 tff(11640,plain,
% 78.62/50.91 ($false),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11639, 11632, 11596])).
% 78.62/50.91 tff(11641,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s5) | m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.91 tff(11642,plain,
% 78.62/50.91 (~m_c_h_element_v_out(c_e_h_2, c_e, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11641, 11573, 11572])).
% 78.62/50.91 tff(11643,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)), introduced(assumption)).
% 78.62/50.91 tff(11644,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)), introduced(assumption)).
% 78.62/50.91 tff(11645,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)), introduced(assumption)).
% 78.62/50.91 tff(11646,plain,
% 78.62/50.91 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11647,plain,
% 78.62/50.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s5))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11648,plain,
% 78.62/50.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s5)),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 78.62/50.91 tff(11649,plain,
% 78.62/50.91 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s5)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11648, 3964])).
% 78.62/50.91 tff(11650,plain,
% 78.62/50.91 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11649, 11573])).
% 78.62/50.91 tff(11651,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)), introduced(assumption)).
% 78.62/50.91 tff(11652,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)), introduced(assumption)).
% 78.62/50.91 tff(11653,plain,
% 78.62/50.91 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11654,plain,
% 78.62/50.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11655,plain,
% 78.62/50.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 78.62/50.91 tff(11656,plain,
% 78.62/50.91 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11655, 3976])).
% 78.62/50.91 tff(11657,plain,
% 78.62/50.91 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11656, 11644])).
% 78.62/50.91 tff(11658,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)), introduced(assumption)).
% 78.62/50.91 tff(11659,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)), introduced(assumption)).
% 78.62/50.91 tff(11660,assumption,(node10(c_e_h_2, c_n, s5, s6)), introduced(assumption)).
% 78.62/50.91 tff(11661,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11662,plain,
% 78.62/50.91 (((~node10(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11663,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6))))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11662])).
% 78.62/50.91 tff(11664,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11663, 11661])).
% 78.62/50.91 tff(11665,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11666,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~node10(c_e_h_2, c_n, s5, s6))),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11665, 11664])).
% 78.62/50.91 tff(11667,plain,
% 78.62/50.91 ($false),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11666, 160, 11658, 11652, 11659, 11660])).
% 78.62/50.91 tff(11668,plain,((~node10(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.91 tff(11669,plain,
% 78.62/50.91 (~node10(c_e_h_2, c_n, s5, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11668, 11659, 11652, 11658])).
% 78.62/50.91 tff(11670,assumption,(node11(c_e_h_2, c_n, s5, s6)), introduced(assumption)).
% 78.62/50.91 tff(11671,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11672,plain,
% 78.62/50.91 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~node11(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11673,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~node11(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6))))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11672])).
% 78.62/50.91 tff(11674,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~node11(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6)))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11673, 11671])).
% 78.62/50.91 tff(11675,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~node11(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11676,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~node11(c_e_h_2, c_n, s5, s6))),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 78.62/50.91 tff(11677,plain,
% 78.62/50.91 ($false),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11676, 208, 11645, 11659, 11670])).
% 78.62/50.91 tff(11678,plain,((~node11(c_e_h_2, c_n, s5, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)), inference(lemma,lemma(discharge,[]))).
% 78.62/50.91 tff(11679,plain,
% 78.62/50.91 (~node11(c_e_h_2, c_n, s5, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11678, 11659, 11645])).
% 78.62/50.91 tff(11680,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_2, c_n, s5, s6) | node11(c_e_h_2, c_n, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_2, c_n, s5, s6) | node11(c_e_h_2, c_n, s5, s6))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11681,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_2, c_n, s5, s6) | node11(c_e_h_2, c_n, s5, s6))),
% 78.62/50.91 inference(quant_inst,[status(thm)],[])).
% 78.62/50.91 tff(11682,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_2, c_n, s5, s6) | node11(c_e_h_2, c_n, s5, s6)),
% 78.62/50.91 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 78.62/50.91 tff(11683,plain,
% 78.62/50.91 (node10(c_e_h_2, c_n, s5, s6) | node11(c_e_h_2, c_n, s5, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11682, 193, 1343])).
% 78.62/50.91 tff(11684,plain,
% 78.62/50.91 ($false),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11683, 11679, 11669])).
% 78.62/50.91 tff(11685,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.91 tff(11686,plain,
% 78.62/50.91 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)),
% 78.62/50.91 inference(unit_resolution,[status(thm)],[11685, 11645, 11657, 11652])).
% 78.62/50.91 tff(11687,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)), introduced(assumption)).
% 78.62/50.91 tff(11688,assumption,(node10(c_e_h_2, c_n, s6, s7)), introduced(assumption)).
% 78.62/50.91 tff(11689,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11690,plain,
% 78.62/50.91 (((~node10(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.91 inference(rewrite,[status(thm)],[])).
% 78.62/50.91 tff(11691,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7))))),
% 78.62/50.91 inference(monotonicity,[status(thm)],[11690])).
% 78.62/50.91 tff(11692,plain,
% 78.62/50.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.91 inference(transitivity,[status(thm)],[11691, 11689])).
% 78.62/50.91 tff(11693,plain,
% 78.62/50.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))),
% 78.62/50.92 inference(quant_inst,[status(thm)],[])).
% 78.62/50.92 tff(11694,plain,
% 78.62/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~node10(c_e_h_2, c_n, s6, s7))),
% 78.62/50.92 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 78.62/50.92 tff(11695,plain,
% 78.62/50.92 ($false),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11694, 160, 11643, 11687, 11651, 11688])).
% 78.62/50.92 tff(11696,plain,((~node10(c_e_h_2, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.92 tff(11697,plain,
% 78.62/50.92 (~node10(c_e_h_2, c_n, s6, s7)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11696, 11643, 11687, 11651])).
% 78.62/50.92 tff(11698,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)), introduced(assumption)).
% 78.62/50.92 tff(11699,assumption,(node11(c_e_h_2, c_n, s6, s7)), introduced(assumption)).
% 78.62/50.92 tff(11700,plain,
% 78.62/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.92 inference(rewrite,[status(thm)],[])).
% 78.62/50.92 tff(11701,plain,
% 78.62/50.92 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~node11(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.92 inference(rewrite,[status(thm)],[])).
% 78.62/50.92 tff(11702,plain,
% 78.62/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~node11(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7))))),
% 78.62/50.92 inference(monotonicity,[status(thm)],[11701])).
% 78.62/50.92 tff(11703,plain,
% 78.62/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~node11(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7)))),
% 78.62/50.92 inference(transitivity,[status(thm)],[11702, 11700])).
% 78.62/50.92 tff(11704,plain,
% 78.62/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~node11(c_e_h_2, c_n, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))),
% 78.62/50.92 inference(quant_inst,[status(thm)],[])).
% 78.62/50.92 tff(11705,plain,
% 78.62/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~node11(c_e_h_2, c_n, s6, s7))),
% 78.62/50.92 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 78.62/50.92 tff(11706,plain,
% 78.62/50.92 ($false),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11705, 208, 11643, 11698, 11699])).
% 78.62/50.92 tff(11707,plain,((~node11(c_e_h_2, c_n, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.92 tff(11708,plain,
% 78.62/50.92 (~node11(c_e_h_2, c_n, s6, s7)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11707, 11643, 11698])).
% 78.62/50.92 tff(11709,plain,
% 78.62/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_2, c_n, s6, s7) | node11(c_e_h_2, c_n, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_2, c_n, s6, s7) | node11(c_e_h_2, c_n, s6, s7))),
% 78.62/50.92 inference(rewrite,[status(thm)],[])).
% 78.62/50.92 tff(11710,plain,
% 78.62/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_2, c_n, s6, s7) | node11(c_e_h_2, c_n, s6, s7))),
% 78.62/50.92 inference(quant_inst,[status(thm)],[])).
% 78.62/50.92 tff(11711,plain,
% 78.62/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_2, c_n, s6, s7) | node11(c_e_h_2, c_n, s6, s7)),
% 78.62/50.92 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 78.62/50.92 tff(11712,plain,
% 78.62/50.92 (node10(c_e_h_2, c_n, s6, s7) | node11(c_e_h_2, c_n, s6, s7)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11711, 193, 1685])).
% 78.62/50.92 tff(11713,plain,
% 78.62/50.92 ($false),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11712, 11708, 11697])).
% 78.62/50.92 tff(11714,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 78.62/50.92 tff(11715,plain,
% 78.62/50.92 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11714, 11686, 11643, 11651])).
% 78.62/50.92 tff(11716,plain,
% 78.62/50.92 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.62/50.92 inference(rewrite,[status(thm)],[])).
% 78.62/50.92 tff(11717,plain,
% 78.62/50.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.62/50.92 inference(quant_inst,[status(thm)],[])).
% 78.62/50.92 tff(11718,plain,
% 78.62/50.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.62/50.92 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 78.62/50.92 tff(11719,plain,
% 78.62/50.92 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s6) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11718, 3976])).
% 78.62/50.92 tff(11720,plain,
% 78.62/50.92 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.62/50.92 inference(unit_resolution,[status(thm)],[11719, 11715])).
% 78.62/50.92 tff(11721,assumption,(~node9(c_e_h_2, c_m, s5)), introduced(assumption)).
% 78.62/50.92 tff(11722,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)), introduced(assumption)).
% 78.62/50.92 tff(11723,assumption,(node11(c_e_h_2, c_m, s5, s6)), introduced(assumption)).
% 78.62/50.92 tff(11724,plain,
% 78.62/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node11(c_e_h_2, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node11(c_e_h_2, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11725,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node11(c_e_h_2, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11726,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node11(c_e_h_2, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 78.66/50.92 tff(11727,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11726, 282, 11644, 11722, 11723])).
% 78.66/50.92 tff(11728,plain,((~node11(c_e_h_2, c_m, s5, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11729,plain,
% 78.66/50.92 (~node11(c_e_h_2, c_m, s5, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11728, 11722, 11644])).
% 78.66/50.92 tff(11730,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_2, c_m, s5, s6) | node11(c_e_h_2, c_m, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_2, c_m, s5, s6) | node11(c_e_h_2, c_m, s5, s6))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11731,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s5, s6)) | node10(c_e_h_2, c_m, s5, s6) | node11(c_e_h_2, c_m, s5, s6))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11732,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s5, s6)) | node10(c_e_h_2, c_m, s5, s6) | node11(c_e_h_2, c_m, s5, s6)),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11731, 11730])).
% 78.66/50.92 tff(11733,plain,
% 78.66/50.92 (node10(c_e_h_2, c_m, s5, s6) | node11(c_e_h_2, c_m, s5, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11732, 193, 1343])).
% 78.66/50.92 tff(11734,plain,
% 78.66/50.92 (node10(c_e_h_2, c_m, s5, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11733, 11729])).
% 78.66/50.92 tff(11735,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6)))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11736,plain,
% 78.66/50.92 ((node9(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node10(c_e_h_2, c_m, s5, s6))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6)))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11737,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node10(c_e_h_2, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6))))),
% 78.66/50.92 inference(monotonicity,[status(thm)],[11736])).
% 78.66/50.92 tff(11738,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node10(c_e_h_2, c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6)))),
% 78.66/50.92 inference(transitivity,[status(thm)],[11737, 11735])).
% 78.66/50.92 tff(11739,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | (~node10(c_e_h_2, c_m, s5, s6)))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11740,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | (~node10(c_e_h_2, c_m, s5, s6))),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 78.66/50.92 tff(11741,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11740, 252, 11722, 11734, 11721])).
% 78.66/50.92 tff(11742,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11743,plain,
% 78.66/50.92 (node9(c_e_h_2, c_m, s5)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11742, 11720, 11644])).
% 78.66/50.92 tff(11744,plain,
% 78.66/50.92 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11745,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11746,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5))),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 78.66/50.92 tff(11747,plain,
% 78.66/50.92 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11746, 3886, 11645])).
% 78.66/50.92 tff(11748,plain,
% 78.66/50.92 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11749,plain,
% 78.66/50.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11750,plain,
% 78.66/50.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s5)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11749, 11748])).
% 78.66/50.92 tff(11751,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11750, 238, 11747, 11743])).
% 78.66/50.92 tff(11752,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5))), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11753,plain,
% 78.66/50.92 (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11752, 11650, 11645, 11644, 11643])).
% 78.66/50.92 tff(11754,plain,
% 78.66/50.92 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11755,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11756,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6)),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 78.66/50.92 tff(11757,plain,
% 78.66/50.92 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11756, 3964])).
% 78.66/50.92 tff(11758,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11757, 11753, 11642])).
% 78.66/50.92 tff(11759,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11760,plain,
% 78.66/50.92 (m_c_h_element_v_out(c_e_h_2, c_e, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s5)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11759, 11571])).
% 78.66/50.92 tff(11761,plain,
% 78.66/50.92 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s5)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11760, 11533, 11464])).
% 78.66/50.92 tff(11762,plain,
% 78.66/50.92 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11761, 10943])).
% 78.66/50.92 tff(11763,plain,
% 78.66/50.92 (m_c_h_element_v_in2(c_e_h_2, c_e, s5) | (~m_c_h_element_v_out(c_e_h_2, c_e, s6))),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11641, 11533])).
% 78.66/50.92 tff(11764,plain,
% 78.66/50.92 (~m_c_h_element_v_out(c_e_h_2, c_e, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11763, 10943])).
% 78.66/50.92 tff(11765,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.66/50.92 tff(11766,plain,
% 78.66/50.92 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11767,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11768,plain,
% 78.66/50.92 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6)),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 78.66/50.92 tff(11769,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11768, 4785, 10903, 11765])).
% 78.66/50.92 tff(11770,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_and_h_gate_v_out(c_e_h_2, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11771,plain,
% 78.66/50.92 (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11770, 10900])).
% 78.66/50.92 tff(11772,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.66/50.92 tff(11773,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.66/50.92 tff(11774,assumption,(node18(c_e_h_2, c_e, s6, s7)), introduced(assumption)).
% 78.66/50.92 tff(11775,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11776,plain,
% 78.66/50.92 (((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~node18(c_e_h_2, c_e, s6, s7))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11777,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~node18(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7))))),
% 78.66/50.92 inference(monotonicity,[status(thm)],[11776])).
% 78.66/50.92 tff(11778,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~node18(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.92 inference(transitivity,[status(thm)],[11777, 11775])).
% 78.66/50.92 tff(11779,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~node18(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11780,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node18(c_e_h_2, c_e, s6, s7))),
% 78.66/50.92 inference(modus_ponens,[status(thm)],[11779, 11778])).
% 78.66/50.92 tff(11781,plain,
% 78.66/50.92 ($false),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11780, 481, 11773, 11772, 11774])).
% 78.66/50.92 tff(11782,plain,((~node18(c_e_h_2, c_e, s6, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.66/50.92 tff(11783,plain,
% 78.66/50.92 (~node18(c_e_h_2, c_e, s6, s7)),
% 78.66/50.92 inference(unit_resolution,[status(thm)],[11782, 11773, 11772])).
% 78.66/50.92 tff(11784,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.66/50.92 tff(11785,assumption,(node15(c_e_h_2, c_e, s6, s7)), introduced(assumption)).
% 78.66/50.92 tff(11786,plain,
% 78.66/50.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node15(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node15(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6))),
% 78.66/50.92 inference(rewrite,[status(thm)],[])).
% 78.66/50.92 tff(11787,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node15(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6))),
% 78.66/50.92 inference(quant_inst,[status(thm)],[])).
% 78.66/50.92 tff(11788,plain,
% 78.66/50.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node15(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11787, 11786])).
% 78.66/50.93 tff(11789,plain,
% 78.66/50.93 ($false),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11788, 612, 11773, 11772, 11785])).
% 78.66/50.93 tff(11790,plain,((~node15(c_e_h_2, c_e, s6, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_out(c_e_h_2, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.66/50.93 tff(11791,plain,
% 78.66/50.93 (~node15(c_e_h_2, c_e, s6, s7)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11790, 11773, 11772])).
% 78.66/50.93 tff(11792,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_2, c_e, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_2, c_e, s6, s7))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11793,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_2, c_e, s6, s7))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11794,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_2, c_e, s6, s7)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 78.66/50.93 tff(11795,plain,
% 78.66/50.93 (node19(c_e_h_2, c_e, s6, s7)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11794, 494, 1685])).
% 78.66/50.93 tff(11796,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s6) | node18(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s6) | node18(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11797,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s6) | node18(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11798,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s6) | node18(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7))),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11797, 11796])).
% 78.66/50.93 tff(11799,plain,
% 78.66/50.93 (node17(c_e_h_2, c_e, s6) | node18(c_e_h_2, c_e, s6, s7)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11798, 508, 11795])).
% 78.66/50.93 tff(11800,plain,
% 78.66/50.93 (node17(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11799, 11783])).
% 78.66/50.93 tff(11801,assumption,(node17(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.66/50.93 tff(11802,assumption,(node16(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.66/50.93 tff(11803,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11804,plain,
% 78.66/50.93 ((m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6))) <=> ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11805,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(monotonicity,[status(thm)],[11804])).
% 78.66/50.93 tff(11806,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(transitivity,[status(thm)],[11805, 11803])).
% 78.66/50.93 tff(11807,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11808,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 78.66/50.93 tff(11809,plain,
% 78.66/50.93 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11808, 1172, 11801])).
% 78.66/50.93 tff(11810,plain,
% 78.66/50.93 (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11809, 11784])).
% 78.66/50.93 tff(11811,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11812,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11813,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s6)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 78.66/50.93 tff(11814,plain,
% 78.66/50.93 (m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11813, 559, 11802])).
% 78.66/50.93 tff(11815,plain,
% 78.66/50.93 ($false),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11814, 11810, 11784])).
% 78.66/50.93 tff(11816,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~node16(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 78.66/50.93 tff(11817,plain,
% 78.66/50.93 (m_c_h_element_v_in1(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11816, 11802, 11801])).
% 78.66/50.93 tff(11818,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11819,plain,
% 78.66/50.93 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6) | (~node17(c_e_h_2, c_e, s6))) <=> ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11820,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6) | (~node17(c_e_h_2, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(monotonicity,[status(thm)],[11819])).
% 78.66/50.93 tff(11821,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6) | (~node17(c_e_h_2, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(transitivity,[status(thm)],[11820, 11818])).
% 78.66/50.93 tff(11822,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6) | (~node17(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11823,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11822, 11821])).
% 78.66/50.93 tff(11824,plain,
% 78.66/50.93 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11823, 541, 11801])).
% 78.66/50.93 tff(11825,plain,
% 78.66/50.93 (m_c_h_element_v_in2(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11824, 11817])).
% 78.66/50.93 tff(11826,plain,
% 78.66/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11827,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11828,plain,
% 78.66/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 78.66/50.93 tff(11829,plain,
% 78.66/50.93 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11828, 1192, 11802])).
% 78.66/50.93 tff(11830,plain,
% 78.66/50.93 ($false),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11829, 11825, 11817])).
% 78.66/50.93 tff(11831,plain,((~node16(c_e_h_2, c_e, s6)) | (~node17(c_e_h_2, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 78.66/50.93 tff(11832,plain,
% 78.66/50.93 (~node16(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11831, 11800])).
% 78.66/50.93 tff(11833,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11834,plain,
% 78.66/50.93 ((node16(c_e_h_2, c_e, s6) | node14(c_e_h_2, c_e, s6, s7) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7))) <=> (node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11835,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s6) | node14(c_e_h_2, c_e, s6, s7) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6)))),
% 78.66/50.93 inference(monotonicity,[status(thm)],[11834])).
% 78.66/50.93 tff(11836,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s6) | node14(c_e_h_2, c_e, s6, s7) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(transitivity,[status(thm)],[11835, 11833])).
% 78.66/50.93 tff(11837,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s6) | node14(c_e_h_2, c_e, s6, s7) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)))),
% 78.66/50.93 inference(quant_inst,[status(thm)],[])).
% 78.66/50.93 tff(11838,plain,
% 78.66/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s6, s7) | (~node19(c_e_h_2, c_e, s6, s7)) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 78.66/50.93 tff(11839,plain,
% 78.66/50.93 (node15(c_e_h_2, c_e, s6, s7) | node14(c_e_h_2, c_e, s6, s7) | node16(c_e_h_2, c_e, s6)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11838, 594, 11795])).
% 78.66/50.93 tff(11840,plain,
% 78.66/50.93 (node14(c_e_h_2, c_e, s6, s7)),
% 78.66/50.93 inference(unit_resolution,[status(thm)],[11839, 11832, 11791])).
% 78.66/50.93 tff(11841,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11842,plain,
% 78.66/50.93 (((~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.66/50.93 inference(rewrite,[status(thm)],[])).
% 78.66/50.93 tff(11843,plain,
% 78.66/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6)))),
% 78.67/50.93 inference(monotonicity,[status(thm)],[11842])).
% 78.67/50.93 tff(11844,plain,
% 78.67/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.67/50.93 inference(transitivity,[status(thm)],[11843, 11841])).
% 78.67/50.93 tff(11845,plain,
% 78.67/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))),
% 78.67/50.93 inference(quant_inst,[status(thm)],[])).
% 78.67/50.93 tff(11846,plain,
% 78.67/50.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | (~node14(c_e_h_2, c_e, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6)),
% 78.67/50.93 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 78.67/50.93 tff(11847,plain,
% 78.67/50.93 ($false),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11846, 575, 11773, 11840, 11784])).
% 78.67/50.93 tff(11848,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.93 tff(11849,plain,
% 78.67/50.93 (m_c_h_element_v_in1(c_e_h_2, c_e, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11848, 11773, 11772])).
% 78.67/50.93 tff(11850,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s6)), introduced(assumption)).
% 78.67/50.93 tff(11851,plain,
% 78.67/50.93 ((~node17(c_e_h_2, c_e, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s6))),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11823, 541, 11850])).
% 78.67/50.93 tff(11852,plain,
% 78.67/50.93 (~node17(c_e_h_2, c_e, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11851, 11849])).
% 78.67/50.93 tff(11853,plain,
% 78.67/50.93 ($false),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11799, 11852, 11783])).
% 78.67/50.93 tff(11854,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s7)) | m_c_h_element_v_in2(c_e_h_2, c_e, s6) | m_c_h_element_v_out(c_e_h_2, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.93 tff(11855,plain,
% 78.67/50.93 (~m_c_h_element_v_out(c_e_h_2, c_e, s7)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11854, 11771, 11764])).
% 78.67/50.93 tff(11856,plain,
% 78.67/50.93 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7))),
% 78.67/50.93 inference(rewrite,[status(thm)],[])).
% 78.67/50.93 tff(11857,plain,
% 78.67/50.93 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7))),
% 78.67/50.93 inference(quant_inst,[status(thm)],[])).
% 78.67/50.93 tff(11858,plain,
% 78.67/50.93 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7)),
% 78.67/50.93 inference(modus_ponens,[status(thm)],[11857, 11856])).
% 78.67/50.93 tff(11859,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11858, 3964])).
% 78.67/50.93 tff(11860,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11859, 11855])).
% 78.67/50.93 tff(11861,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11649, 11533])).
% 78.67/50.93 tff(11862,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s5)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11656, 11571])).
% 78.67/50.93 tff(11863,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5))),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11685, 11862])).
% 78.67/50.93 tff(11864,plain,
% 78.67/50.93 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11863, 11861, 11464])).
% 78.67/50.93 tff(11865,plain,
% 78.67/50.93 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))),
% 78.67/50.93 inference(rewrite,[status(thm)],[])).
% 78.67/50.93 tff(11866,plain,
% 78.67/50.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)))),
% 78.67/50.93 inference(quant_inst,[status(thm)],[])).
% 78.67/50.93 tff(11867,plain,
% 78.67/50.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6))),
% 78.67/50.93 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 78.67/50.93 tff(11868,plain,
% 78.67/50.93 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11867, 3886, 11864])).
% 78.67/50.93 tff(11869,assumption,(node9(c_e_h_2, c_m, s6)), introduced(assumption)).
% 78.67/50.93 tff(11870,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)), introduced(assumption)).
% 78.67/50.93 tff(11871,plain,
% 78.67/50.93 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6))),
% 78.67/50.93 inference(rewrite,[status(thm)],[])).
% 78.67/50.93 tff(11872,plain,
% 78.67/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6))),
% 78.67/50.93 inference(quant_inst,[status(thm)],[])).
% 78.67/50.93 tff(11873,plain,
% 78.67/50.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s6)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)),
% 78.67/50.93 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 78.67/50.93 tff(11874,plain,
% 78.67/50.93 ($false),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11873, 238, 11870, 11869])).
% 78.67/50.93 tff(11875,plain,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6) | (~node9(c_e_h_2, c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.93 tff(11876,plain,
% 78.67/50.93 (~node9(c_e_h_2, c_m, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11875, 11868])).
% 78.67/50.93 tff(11877,plain,
% 78.67/50.93 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s5)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11746, 3886, 11464])).
% 78.67/50.93 tff(11878,plain,
% 78.67/50.93 (~node9(c_e_h_2, c_m, s5)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11750, 238, 11877])).
% 78.67/50.93 tff(11879,plain,
% 78.67/50.93 ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)) | node9(c_e_h_2, c_m, s5)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11742, 11571])).
% 78.67/50.93 tff(11880,plain,
% 78.67/50.93 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.67/50.93 inference(unit_resolution,[status(thm)],[11879, 11878])).
% 78.67/50.93 tff(11881,assumption,(~node9(c_e_h_2, c_m, s6)), introduced(assumption)).
% 78.67/50.93 tff(11882,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)), introduced(assumption)).
% 78.67/50.93 tff(11883,assumption,(node10(c_e_h_2, c_m, s6, s7)), introduced(assumption)).
% 78.67/50.93 tff(11884,plain,
% 78.67/50.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11885,plain,
% 78.67/50.94 ((node9(c_e_h_2, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node10(c_e_h_2, c_m, s6, s7))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11886,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node10(c_e_h_2, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7))))),
% 78.67/50.94 inference(monotonicity,[status(thm)],[11885])).
% 78.67/50.94 tff(11887,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node10(c_e_h_2, c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7)))),
% 78.67/50.94 inference(transitivity,[status(thm)],[11886, 11884])).
% 78.67/50.94 tff(11888,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node10(c_e_h_2, c_m, s6, s7)))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11889,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6) | (~node10(c_e_h_2, c_m, s6, s7))),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 78.67/50.94 tff(11890,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11889, 252, 11882, 11883, 11881])).
% 78.67/50.94 tff(11891,plain,((~node10(c_e_h_2, c_m, s6, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | node9(c_e_h_2, c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11892,plain,
% 78.67/50.94 (~node10(c_e_h_2, c_m, s6, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11891, 11882, 11881])).
% 78.67/50.94 tff(11893,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_2, c_m, s6, s7) | node11(c_e_h_2, c_m, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_2, c_m, s6, s7) | node11(c_e_h_2, c_m, s6, s7))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11894,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s6, s7)) | node10(c_e_h_2, c_m, s6, s7) | node11(c_e_h_2, c_m, s6, s7))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11895,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s6, s7)) | node10(c_e_h_2, c_m, s6, s7) | node11(c_e_h_2, c_m, s6, s7)),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 78.67/50.94 tff(11896,plain,
% 78.67/50.94 (node10(c_e_h_2, c_m, s6, s7) | node11(c_e_h_2, c_m, s6, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11895, 193, 1685])).
% 78.67/50.94 tff(11897,plain,
% 78.67/50.94 (node11(c_e_h_2, c_m, s6, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11896, 11892])).
% 78.67/50.94 tff(11898,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)), introduced(assumption)).
% 78.67/50.94 tff(11899,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node11(c_e_h_2, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node11(c_e_h_2, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11900,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node11(c_e_h_2, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11901,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | (~node11(c_e_h_2, c_m, s6, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11900, 11899])).
% 78.67/50.94 tff(11902,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11901, 282, 11882, 11898, 11897])).
% 78.67/50.94 tff(11903,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6) | node9(c_e_h_2, c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11904,plain,
% 78.67/50.94 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11903, 11880, 11876])).
% 78.67/50.94 tff(11905,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)), introduced(assumption)).
% 78.67/50.94 tff(11906,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)), introduced(assumption)).
% 78.67/50.94 tff(11907,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)), introduced(assumption)).
% 78.67/50.94 tff(11908,plain,
% 78.67/50.94 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11909,plain,
% 78.67/50.94 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11910,plain,
% 78.67/50.94 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11909, 11908])).
% 78.67/50.94 tff(11911,plain,
% 78.67/50.94 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11910, 3976])).
% 78.67/50.94 tff(11912,plain,
% 78.67/50.94 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11911, 11905])).
% 78.67/50.94 tff(11913,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)), introduced(assumption)).
% 78.67/50.94 tff(11914,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)), introduced(assumption)).
% 78.67/50.94 tff(11915,assumption,(node11(c_e_h_2, c_n, s7, s8)), introduced(assumption)).
% 78.67/50.94 tff(11916,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11917,plain,
% 78.67/50.94 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11918,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8))))),
% 78.67/50.94 inference(monotonicity,[status(thm)],[11917])).
% 78.67/50.94 tff(11919,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(transitivity,[status(thm)],[11918, 11916])).
% 78.67/50.94 tff(11920,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11921,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~node11(c_e_h_2, c_n, s7, s8))),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 78.67/50.94 tff(11922,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11921, 208, 11913, 11914, 11915])).
% 78.67/50.94 tff(11923,plain,((~node11(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11924,plain,
% 78.67/50.94 (~node11(c_e_h_2, c_n, s7, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11923, 11914, 11913])).
% 78.67/50.94 tff(11925,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)), introduced(assumption)).
% 78.67/50.94 tff(11926,assumption,(node10(c_e_h_2, c_n, s7, s8)), introduced(assumption)).
% 78.67/50.94 tff(11927,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11928,plain,
% 78.67/50.94 (((~node10(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11929,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8))))),
% 78.67/50.94 inference(monotonicity,[status(thm)],[11928])).
% 78.67/50.94 tff(11930,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8)))),
% 78.67/50.94 inference(transitivity,[status(thm)],[11929, 11927])).
% 78.67/50.94 tff(11931,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11932,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~node10(c_e_h_2, c_n, s7, s8))),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 78.67/50.94 tff(11933,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11932, 160, 11925, 11907, 11914, 11926])).
% 78.67/50.94 tff(11934,plain,((~node10(c_e_h_2, c_n, s7, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11935,plain,
% 78.67/50.94 (~node10(c_e_h_2, c_n, s7, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11934, 11914, 11925, 11907])).
% 78.67/50.94 tff(11936,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_2, c_n, s7, s8) | node11(c_e_h_2, c_n, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_2, c_n, s7, s8) | node11(c_e_h_2, c_n, s7, s8))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11937,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_2, c_n, s7, s8) | node11(c_e_h_2, c_n, s7, s8))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11938,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_2, c_n, s7, s8) | node11(c_e_h_2, c_n, s7, s8)),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 78.67/50.94 tff(11939,plain,
% 78.67/50.94 (node10(c_e_h_2, c_n, s7, s8) | node11(c_e_h_2, c_n, s7, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11938, 193, 2456])).
% 78.67/50.94 tff(11940,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11939, 11935, 11924])).
% 78.67/50.94 tff(11941,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11942,plain,
% 78.67/50.94 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11941, 11913, 11912, 11907])).
% 78.67/50.94 tff(11943,plain,
% 78.67/50.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11944,plain,
% 78.67/50.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11945,plain,
% 78.67/50.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11944, 11943])).
% 78.67/50.94 tff(11946,plain,
% 78.67/50.94 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11945, 3886, 11942])).
% 78.67/50.94 tff(11947,assumption,(node9(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/50.94 tff(11948,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/50.94 tff(11949,plain,
% 78.67/50.94 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11950,plain,
% 78.67/50.94 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11951,plain,
% 78.67/50.94 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 78.67/50.94 tff(11952,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11951, 238, 11948, 11947])).
% 78.67/50.94 tff(11953,plain,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | (~node9(c_e_h_2, c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11954,plain,
% 78.67/50.94 (~node9(c_e_h_2, c_m, s8)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11953, 11946])).
% 78.67/50.94 tff(11955,assumption,(~node9(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/50.94 tff(11956,assumption,(node10(c_e_h_2, c_m, s8, s9)), introduced(assumption)).
% 78.67/50.94 tff(11957,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11958,plain,
% 78.67/50.94 ((node9(c_e_h_2, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node10(c_e_h_2, c_m, s8, s9))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11959,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node10(c_e_h_2, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9))))),
% 78.67/50.94 inference(monotonicity,[status(thm)],[11958])).
% 78.67/50.94 tff(11960,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node10(c_e_h_2, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/50.94 inference(transitivity,[status(thm)],[11959, 11957])).
% 78.67/50.94 tff(11961,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11962,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8) | (~node10(c_e_h_2, c_m, s8, s9))),
% 78.67/50.94 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 78.67/50.94 tff(11963,plain,
% 78.67/50.94 ($false),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11962, 252, 11906, 11956, 11955])).
% 78.67/50.94 tff(11964,plain,((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | node9(c_e_h_2, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.94 tff(11965,plain,
% 78.67/50.94 (~node10(c_e_h_2, c_m, s8, s9)),
% 78.67/50.94 inference(unit_resolution,[status(thm)],[11964, 11906, 11955])).
% 78.67/50.94 tff(11966,plain,
% 78.67/50.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_2, c_m, s8, s9) | node11(c_e_h_2, c_m, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_2, c_m, s8, s9) | node11(c_e_h_2, c_m, s8, s9))),
% 78.67/50.94 inference(rewrite,[status(thm)],[])).
% 78.67/50.94 tff(11967,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_2, c_m, s8, s9) | node11(c_e_h_2, c_m, s8, s9))),
% 78.67/50.94 inference(quant_inst,[status(thm)],[])).
% 78.67/50.94 tff(11968,plain,
% 78.67/50.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_2, c_m, s8, s9) | node11(c_e_h_2, c_m, s8, s9)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11967, 11966])).
% 78.67/50.95 tff(11969,plain,
% 78.67/50.95 (node10(c_e_h_2, c_m, s8, s9) | node11(c_e_h_2, c_m, s8, s9)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11968, 193, 3713])).
% 78.67/50.95 tff(11970,plain,
% 78.67/50.95 (node11(c_e_h_2, c_m, s8, s9)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11969, 11965])).
% 78.67/50.95 tff(11971,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/50.95 tff(11972,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node11(c_e_h_2, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node11(c_e_h_2, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(11973,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node11(c_e_h_2, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(11974,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~node11(c_e_h_2, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 78.67/50.95 tff(11975,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11974, 282, 11971, 11906, 11970])).
% 78.67/50.95 tff(11976,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8) | node9(c_e_h_2, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(11977,plain,
% 78.67/50.95 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11976, 11954, 11906])).
% 78.67/50.95 tff(11978,assumption,(~node9(c_e_h_2, c_m, s7)), introduced(assumption)).
% 78.67/50.95 tff(11979,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/50.95 tff(11980,assumption,(node10(c_e_h_2, c_m, s7, s8)), introduced(assumption)).
% 78.67/50.95 tff(11981,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s7, s8)))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(11982,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s7, s8)))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(11983,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s7, s8))),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 78.67/50.95 tff(11984,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11983, 252, 11979, 11980, 11978])).
% 78.67/50.95 tff(11985,plain,((~node10(c_e_h_2, c_m, s7, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | node9(c_e_h_2, c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(11986,plain,
% 78.67/50.95 (~node10(c_e_h_2, c_m, s7, s8)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11985, 11979, 11978])).
% 78.67/50.95 tff(11987,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_2, c_m, s7, s8) | node11(c_e_h_2, c_m, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_2, c_m, s7, s8) | node11(c_e_h_2, c_m, s7, s8))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(11988,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s7, s8)) | node10(c_e_h_2, c_m, s7, s8) | node11(c_e_h_2, c_m, s7, s8))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(11989,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s7, s8)) | node10(c_e_h_2, c_m, s7, s8) | node11(c_e_h_2, c_m, s7, s8)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11988, 11987])).
% 78.67/50.95 tff(11990,plain,
% 78.67/50.95 (node10(c_e_h_2, c_m, s7, s8) | node11(c_e_h_2, c_m, s7, s8)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11989, 193, 2456])).
% 78.67/50.95 tff(11991,plain,
% 78.67/50.95 (node11(c_e_h_2, c_m, s7, s8)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11990, 11986])).
% 78.67/50.95 tff(11992,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(11993,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(11994,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 78.67/50.95 tff(11995,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11994, 282, 11905, 11979, 11991])).
% 78.67/50.95 tff(11996,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7) | node9(c_e_h_2, c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(11997,plain,
% 78.67/50.95 (node9(c_e_h_2, c_m, s7)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[11996, 11977, 11905])).
% 78.67/50.95 tff(11998,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(11999,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12000,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 78.67/50.95 tff(12001,plain,
% 78.67/50.95 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12000, 3886, 11913])).
% 78.67/50.95 tff(12002,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12003,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12004,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 78.67/50.95 tff(12005,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12004, 238, 12001, 11997])).
% 78.67/50.95 tff(12006,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(12007,plain,
% 78.67/50.95 ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7))),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12006, 11904])).
% 78.67/50.95 tff(12008,plain,
% 78.67/50.95 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12007, 11860, 11762])).
% 78.67/50.95 tff(12009,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.95 tff(12010,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12011,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12012,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 78.67/50.95 tff(12013,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12012, 7347, 11905, 12009])).
% 78.67/50.95 tff(12014,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(12015,plain,
% 78.67/50.95 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12014, 11904])).
% 78.67/50.95 tff(12016,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.95 tff(12017,assumption,(node20(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.95 tff(12018,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s7))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12019,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s7))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12020,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s7)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 78.67/50.95 tff(12021,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12020, 334, 12017, 12016])).
% 78.67/50.95 tff(12022,plain,(m_and_h_gate_v_in2(c_e_h_2, c_r, s7) | (~node20(c_e_h_2, c_r, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(12023,plain,
% 78.67/50.95 (~node20(c_e_h_2, c_r, s7)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12022, 12015])).
% 78.67/50.95 tff(12024,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12025,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12026,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 78.67/50.95 tff(12027,plain,
% 78.67/50.95 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s6)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12026, 7347, 11880])).
% 78.67/50.95 tff(12028,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s6))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12029,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s6))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12030,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s6)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 78.67/50.95 tff(12031,plain,
% 78.67/50.95 (~node20(c_e_h_2, c_r, s6)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12030, 334, 12027])).
% 78.67/50.95 tff(12032,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12033,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12034,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 78.67/50.95 tff(12035,plain,
% 78.67/50.95 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s5)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12034, 7347, 11571])).
% 78.67/50.95 tff(12036,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s5))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12037,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s5))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12038,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s5)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12037, 12036])).
% 78.67/50.95 tff(12039,plain,
% 78.67/50.95 (~node20(c_e_h_2, c_r, s5)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12038, 334, 12035])).
% 78.67/50.95 tff(12040,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s2)), introduced(assumption)).
% 78.67/50.95 tff(12041,assumption,(node21(c_e_h_2, c_r, s1, s2)), introduced(assumption)).
% 78.67/50.95 tff(12042,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12043,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12044,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s1)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s1)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12043, 12042])).
% 78.67/50.95 tff(12045,plain,
% 78.67/50.95 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s1)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12044, 7347, 9716])).
% 78.67/50.95 tff(12046,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s1))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12047,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s1))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12048,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s1)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s1)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 78.67/50.95 tff(12049,plain,
% 78.67/50.95 (~node20(c_e_h_2, c_r, s1)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12048, 334, 12045])).
% 78.67/50.95 tff(12050,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2)))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12051,plain,
% 78.67/50.95 ((node20(c_e_h_2, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node21(c_e_h_2, c_r, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2)))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12052,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node21(c_e_h_2, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2))))),
% 78.67/50.95 inference(monotonicity,[status(thm)],[12051])).
% 78.67/50.95 tff(12053,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node21(c_e_h_2, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2)))),
% 78.67/50.95 inference(transitivity,[status(thm)],[12052, 12050])).
% 78.67/50.95 tff(12054,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node21(c_e_h_2, c_r, s1, s2)))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12055,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | node20(c_e_h_2, c_r, s1) | (~node21(c_e_h_2, c_r, s1, s2))),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 78.67/50.95 tff(12056,plain,
% 78.67/50.95 ($false),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12055, 348, 12049, 12040, 12041])).
% 78.67/50.95 tff(12057,plain,((~node21(c_e_h_2, c_r, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.95 tff(12058,plain,
% 78.67/50.95 (~node21(c_e_h_2, c_r, s1, s2)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12057, 12040])).
% 78.67/50.95 tff(12059,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_r, s1, s2) | node22(c_e_h_2, c_r, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_r, s1, s2) | node22(c_e_h_2, c_r, s1, s2))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12060,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_r, s1, s2) | node22(c_e_h_2, c_r, s1, s2))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12061,plain,
% 78.67/50.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_r, s1, s2) | node22(c_e_h_2, c_r, s1, s2)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 78.67/50.95 tff(12062,plain,
% 78.67/50.95 (node21(c_e_h_2, c_r, s1, s2) | node22(c_e_h_2, c_r, s1, s2)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12061, 383, 265])).
% 78.67/50.95 tff(12063,plain,
% 78.67/50.95 (node22(c_e_h_2, c_r, s1, s2)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12062, 12058])).
% 78.67/50.95 tff(12064,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s1)), introduced(assumption)).
% 78.67/50.95 tff(12065,assumption,(node21(c_e_h_2, c_r, s0, s1)), introduced(assumption)).
% 78.67/50.95 tff(12066,plain,
% 78.67/50.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s0)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s0)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12067,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s0)) | m_c_h_element_v_out(c_e_h_2, c_e, s0))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12068,plain,
% 78.67/50.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s0)) | m_c_h_element_v_out(c_e_h_2, c_e, s0)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 78.67/50.95 tff(12069,plain,
% 78.67/50.95 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s0)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12068, 9234, 10154])).
% 78.67/50.95 tff(12070,plain,
% 78.67/50.95 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s0))),
% 78.67/50.95 inference(rewrite,[status(thm)],[])).
% 78.67/50.95 tff(12071,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s0))),
% 78.67/50.95 inference(quant_inst,[status(thm)],[])).
% 78.67/50.95 tff(12072,plain,
% 78.67/50.95 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s0)),
% 78.67/50.95 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 78.67/50.95 tff(12073,plain,
% 78.67/50.95 (~node20(c_e_h_2, c_r, s0)),
% 78.67/50.95 inference(unit_resolution,[status(thm)],[12072, 22, 12069])).
% 78.67/50.95 tff(12074,plain,
% 78.67/50.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node21(c_e_h_2, c_r, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node21(c_e_h_2, c_r, s0, s1)))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12075,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node21(c_e_h_2, c_r, s0, s1)))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12076,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node21(c_e_h_2, c_r, s0, s1))),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 78.67/50.96 tff(12077,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12076, 348, 12073, 12065, 12064])).
% 78.67/50.96 tff(12078,plain,((~node21(c_e_h_2, c_r, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12079,plain,
% 78.67/50.96 (~node21(c_e_h_2, c_r, s0, s1)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12078, 12064])).
% 78.67/50.96 tff(12080,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_r, s0, s1) | node22(c_e_h_2, c_r, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_r, s0, s1) | node22(c_e_h_2, c_r, s0, s1))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12081,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_r, s0, s1) | node22(c_e_h_2, c_r, s0, s1))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12082,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_r, s0, s1) | node22(c_e_h_2, c_r, s0, s1)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12081, 12080])).
% 78.67/50.96 tff(12083,plain,
% 78.67/50.96 (node21(c_e_h_2, c_r, s0, s1) | node22(c_e_h_2, c_r, s0, s1)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12082, 383, 183])).
% 78.67/50.96 tff(12084,plain,
% 78.67/50.96 (node22(c_e_h_2, c_r, s0, s1)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12083, 12079])).
% 78.67/50.96 tff(12085,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s0)), introduced(assumption)).
% 78.67/50.96 tff(12086,plain,
% 78.67/50.96 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s0))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12087,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12086, 424, 12085])).
% 78.67/50.96 tff(12088,plain,(~m_and_h_gate_v_out(c_e_h_2, c_r, s0)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12089,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node22(c_e_h_2, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node22(c_e_h_2, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12090,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node22(c_e_h_2, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12091,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s1)) | (~node22(c_e_h_2, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 78.67/50.96 tff(12092,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12091, 437, 12088, 12084, 12064])).
% 78.67/50.96 tff(12093,plain,(~m_and_h_gate_v_out(c_e_h_2, c_r, s1)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12094,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node22(c_e_h_2, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node22(c_e_h_2, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12095,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node22(c_e_h_2, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12096,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s2)) | (~node22(c_e_h_2, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 78.67/50.96 tff(12097,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12096, 437, 12093, 12040, 12063])).
% 78.67/50.96 tff(12098,plain,(~m_and_h_gate_v_out(c_e_h_2, c_r, s2)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12099,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s2)), introduced(assumption)).
% 78.67/50.96 tff(12100,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s3)), introduced(assumption)).
% 78.67/50.96 tff(12101,assumption,(node21(c_e_h_2, c_r, s2, s3)), introduced(assumption)).
% 78.67/50.96 tff(12102,plain,
% 78.67/50.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12103,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12104,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s2)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s2)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 78.67/50.96 tff(12105,plain,
% 78.67/50.96 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s2)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12104, 7347, 10198])).
% 78.67/50.96 tff(12106,plain,
% 78.67/50.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s2))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12107,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s2))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12108,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s2)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 78.67/50.96 tff(12109,plain,
% 78.67/50.96 (~node20(c_e_h_2, c_r, s2)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12108, 334, 12105])).
% 78.67/50.96 tff(12110,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node21(c_e_h_2, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node21(c_e_h_2, c_r, s2, s3)))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12111,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node21(c_e_h_2, c_r, s2, s3)))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12112,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node21(c_e_h_2, c_r, s2, s3))),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 78.67/50.96 tff(12113,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12112, 348, 12100, 12109, 12101])).
% 78.67/50.96 tff(12114,plain,((~node21(c_e_h_2, c_r, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12115,plain,
% 78.67/50.96 (~node21(c_e_h_2, c_r, s2, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12114, 12100])).
% 78.67/50.96 tff(12116,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_r, s2, s3) | node22(c_e_h_2, c_r, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_r, s2, s3) | node22(c_e_h_2, c_r, s2, s3))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12117,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_r, s2, s3) | node22(c_e_h_2, c_r, s2, s3))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12118,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_r, s2, s3) | node22(c_e_h_2, c_r, s2, s3)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 78.67/50.96 tff(12119,plain,
% 78.67/50.96 (node21(c_e_h_2, c_r, s2, s3) | node22(c_e_h_2, c_r, s2, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12118, 383, 463])).
% 78.67/50.96 tff(12120,plain,
% 78.67/50.96 (node22(c_e_h_2, c_r, s2, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12119, 12115])).
% 78.67/50.96 tff(12121,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node22(c_e_h_2, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node22(c_e_h_2, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12122,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node22(c_e_h_2, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12123,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | (~node22(c_e_h_2, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 78.67/50.96 tff(12124,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12123, 437, 12100, 12120, 12099])).
% 78.67/50.96 tff(12125,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12126,plain,
% 78.67/50.96 (~m_and_h_gate_v_out(c_e_h_2, c_r, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12125, 12098])).
% 78.67/50.96 tff(12127,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s4)), introduced(assumption)).
% 78.67/50.96 tff(12128,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s3)), introduced(assumption)).
% 78.67/50.96 tff(12129,plain,
% 78.67/50.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12130,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12131,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s3)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s3)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 78.67/50.96 tff(12132,plain,
% 78.67/50.96 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12131, 7347, 10544])).
% 78.67/50.96 tff(12133,plain,
% 78.67/50.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s3))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12134,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s3))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12135,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s3)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 78.67/50.96 tff(12136,plain,
% 78.67/50.96 (~node20(c_e_h_2, c_r, s3)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12135, 334, 12132])).
% 78.67/50.96 tff(12137,assumption,(node21(c_e_h_2, c_r, s3, s4)), introduced(assumption)).
% 78.67/50.96 tff(12138,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node21(c_e_h_2, c_r, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node21(c_e_h_2, c_r, s3, s4)))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12139,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node21(c_e_h_2, c_r, s3, s4)))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12140,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node21(c_e_h_2, c_r, s3, s4))),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 78.67/50.96 tff(12141,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12140, 348, 12137, 12127, 12136])).
% 78.67/50.96 tff(12142,plain,((~node21(c_e_h_2, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12143,plain,
% 78.67/50.96 (~node21(c_e_h_2, c_r, s3, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12142, 12127])).
% 78.67/50.96 tff(12144,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_r, s3, s4) | node22(c_e_h_2, c_r, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_r, s3, s4) | node22(c_e_h_2, c_r, s3, s4))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12145,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_r, s3, s4) | node22(c_e_h_2, c_r, s3, s4))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12146,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_r, s3, s4) | node22(c_e_h_2, c_r, s3, s4)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12145, 12144])).
% 78.67/50.96 tff(12147,plain,
% 78.67/50.96 (node21(c_e_h_2, c_r, s3, s4) | node22(c_e_h_2, c_r, s3, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12146, 383, 711])).
% 78.67/50.96 tff(12148,plain,
% 78.67/50.96 (node22(c_e_h_2, c_r, s3, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12147, 12143])).
% 78.67/50.96 tff(12149,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node22(c_e_h_2, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node22(c_e_h_2, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12150,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node22(c_e_h_2, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12151,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | (~node22(c_e_h_2, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 78.67/50.96 tff(12152,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12151, 437, 12148, 12128, 12127])).
% 78.67/50.96 tff(12153,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12154,plain,
% 78.67/50.96 (~m_and_h_gate_v_out(c_e_h_2, c_r, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12153, 12126])).
% 78.67/50.96 tff(12155,plain,
% 78.67/50.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12156,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12157,plain,
% 78.67/50.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 78.67/50.96 tff(12158,plain,
% 78.67/50.96 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12157, 7347, 11546])).
% 78.67/50.96 tff(12159,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_r, s4)), introduced(assumption)).
% 78.67/50.96 tff(12160,assumption,(node20(c_e_h_2, c_r, s4)), introduced(assumption)).
% 78.67/50.96 tff(12161,plain,
% 78.67/50.96 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s4))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12162,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s4))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12163,plain,
% 78.67/50.96 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s4)),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12162, 12161])).
% 78.67/50.96 tff(12164,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12163, 334, 12160, 12159])).
% 78.67/50.96 tff(12165,plain,(m_and_h_gate_v_in2(c_e_h_2, c_r, s4) | (~node20(c_e_h_2, c_r, s4))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12166,plain,
% 78.67/50.96 (~node20(c_e_h_2, c_r, s4)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12165, 12158])).
% 78.67/50.96 tff(12167,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s5)), introduced(assumption)).
% 78.67/50.96 tff(12168,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s4)), introduced(assumption)).
% 78.67/50.96 tff(12169,assumption,(~node20(c_e_h_2, c_r, s4)), introduced(assumption)).
% 78.67/50.96 tff(12170,assumption,(node21(c_e_h_2, c_r, s4, s5)), introduced(assumption)).
% 78.67/50.96 tff(12171,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node21(c_e_h_2, c_r, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node21(c_e_h_2, c_r, s4, s5)))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12172,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node21(c_e_h_2, c_r, s4, s5)))),
% 78.67/50.96 inference(quant_inst,[status(thm)],[])).
% 78.67/50.96 tff(12173,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node21(c_e_h_2, c_r, s4, s5))),
% 78.67/50.96 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 78.67/50.96 tff(12174,plain,
% 78.67/50.96 ($false),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12173, 348, 12170, 12169, 12167])).
% 78.67/50.96 tff(12175,plain,((~node21(c_e_h_2, c_r, s4, s5)) | node20(c_e_h_2, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.96 tff(12176,plain,
% 78.67/50.96 (~node21(c_e_h_2, c_r, s4, s5)),
% 78.67/50.96 inference(unit_resolution,[status(thm)],[12175, 12167, 12169])).
% 78.67/50.96 tff(12177,plain,
% 78.67/50.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_r, s4, s5) | node22(c_e_h_2, c_r, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_r, s4, s5) | node22(c_e_h_2, c_r, s4, s5))),
% 78.67/50.96 inference(rewrite,[status(thm)],[])).
% 78.67/50.96 tff(12178,plain,
% 78.67/50.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_r, s4, s5) | node22(c_e_h_2, c_r, s4, s5))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12179,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_r, s4, s5) | node22(c_e_h_2, c_r, s4, s5)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 78.67/50.97 tff(12180,plain,
% 78.67/50.97 (node21(c_e_h_2, c_r, s4, s5) | node22(c_e_h_2, c_r, s4, s5)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12179, 383, 930])).
% 78.67/50.97 tff(12181,plain,
% 78.67/50.97 (node22(c_e_h_2, c_r, s4, s5)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12180, 12176])).
% 78.67/50.97 tff(12182,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node22(c_e_h_2, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node22(c_e_h_2, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12183,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node22(c_e_h_2, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12184,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | (~node22(c_e_h_2, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12183, 12182])).
% 78.67/50.97 tff(12185,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12184, 437, 12181, 12168, 12167])).
% 78.67/50.97 tff(12186,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4) | node20(c_e_h_2, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12187,plain,
% 78.67/50.97 ((~m_and_h_gate_v_out(c_e_h_2, c_r, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12186, 12166])).
% 78.67/50.97 tff(12188,plain,
% 78.67/50.97 (~m_and_h_gate_v_out(c_e_h_2, c_r, s5)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12187, 12154])).
% 78.67/50.97 tff(12189,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s6)), introduced(assumption)).
% 78.67/50.97 tff(12190,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s5)), introduced(assumption)).
% 78.67/50.97 tff(12191,assumption,(~node20(c_e_h_2, c_r, s5)), introduced(assumption)).
% 78.67/50.97 tff(12192,assumption,(node21(c_e_h_2, c_r, s5, s6)), introduced(assumption)).
% 78.67/50.97 tff(12193,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node21(c_e_h_2, c_r, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node21(c_e_h_2, c_r, s5, s6)))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12194,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node21(c_e_h_2, c_r, s5, s6)))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12195,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node21(c_e_h_2, c_r, s5, s6))),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 78.67/50.97 tff(12196,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12195, 348, 12192, 12189, 12191])).
% 78.67/50.97 tff(12197,plain,((~node21(c_e_h_2, c_r, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | node20(c_e_h_2, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12198,plain,
% 78.67/50.97 (~node21(c_e_h_2, c_r, s5, s6)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12197, 12189, 12191])).
% 78.67/50.97 tff(12199,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_r, s5, s6) | node22(c_e_h_2, c_r, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_r, s5, s6) | node22(c_e_h_2, c_r, s5, s6))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12200,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_r, s5, s6) | node22(c_e_h_2, c_r, s5, s6))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12201,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_r, s5, s6) | node22(c_e_h_2, c_r, s5, s6)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 78.67/50.97 tff(12202,plain,
% 78.67/50.97 (node21(c_e_h_2, c_r, s5, s6) | node22(c_e_h_2, c_r, s5, s6)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12201, 383, 1343])).
% 78.67/50.97 tff(12203,plain,
% 78.67/50.97 (node22(c_e_h_2, c_r, s5, s6)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12202, 12198])).
% 78.67/50.97 tff(12204,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node22(c_e_h_2, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node22(c_e_h_2, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12205,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node22(c_e_h_2, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12206,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | (~node22(c_e_h_2, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12205, 12204])).
% 78.67/50.97 tff(12207,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12206, 437, 12203, 12190, 12189])).
% 78.67/50.97 tff(12208,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5) | node20(c_e_h_2, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12209,plain,
% 78.67/50.97 ((~m_and_h_gate_v_out(c_e_h_2, c_r, s6)) | node20(c_e_h_2, c_r, s5)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12208, 12188])).
% 78.67/50.97 tff(12210,plain,
% 78.67/50.97 (~m_and_h_gate_v_out(c_e_h_2, c_r, s6)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12209, 12039])).
% 78.67/50.97 tff(12211,assumption,(~node20(c_e_h_2, c_r, s6)), introduced(assumption)).
% 78.67/50.97 tff(12212,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.97 tff(12213,assumption,(node21(c_e_h_2, c_r, s6, s7)), introduced(assumption)).
% 78.67/50.97 tff(12214,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node21(c_e_h_2, c_r, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node21(c_e_h_2, c_r, s6, s7)))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12215,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node21(c_e_h_2, c_r, s6, s7)))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12216,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node21(c_e_h_2, c_r, s6, s7))),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 78.67/50.97 tff(12217,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12216, 348, 12213, 12211, 12212])).
% 78.67/50.97 tff(12218,plain,((~node21(c_e_h_2, c_r, s6, s7)) | node20(c_e_h_2, c_r, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12219,plain,
% 78.67/50.97 (~node21(c_e_h_2, c_r, s6, s7)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12218, 12212, 12211])).
% 78.67/50.97 tff(12220,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s6)), introduced(assumption)).
% 78.67/50.97 tff(12221,assumption,(node22(c_e_h_2, c_r, s6, s7)), introduced(assumption)).
% 78.67/50.97 tff(12222,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node22(c_e_h_2, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node22(c_e_h_2, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12223,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node22(c_e_h_2, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12224,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | (~node22(c_e_h_2, c_r, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 78.67/50.97 tff(12225,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12224, 437, 12221, 12212, 12220])).
% 78.67/50.97 tff(12226,plain,((~node22(c_e_h_2, c_r, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12227,plain,
% 78.67/50.97 (~node22(c_e_h_2, c_r, s6, s7)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12226, 12212, 12220])).
% 78.67/50.97 tff(12228,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_r, s6, s7) | node22(c_e_h_2, c_r, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_r, s6, s7) | node22(c_e_h_2, c_r, s6, s7))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12229,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_r, s6, s7) | node22(c_e_h_2, c_r, s6, s7))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12230,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_r, s6, s7) | node22(c_e_h_2, c_r, s6, s7)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12229, 12228])).
% 78.67/50.97 tff(12231,plain,
% 78.67/50.97 (node21(c_e_h_2, c_r, s6, s7) | node22(c_e_h_2, c_r, s6, s7)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12230, 383, 1685])).
% 78.67/50.97 tff(12232,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12231, 12227, 12219])).
% 78.67/50.97 tff(12233,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6) | node20(c_e_h_2, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12234,plain,
% 78.67/50.97 ((~m_and_h_gate_v_out(c_e_h_2, c_r, s7)) | node20(c_e_h_2, c_r, s6)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12233, 12210])).
% 78.67/50.97 tff(12235,plain,
% 78.67/50.97 (~m_and_h_gate_v_out(c_e_h_2, c_r, s7)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12234, 12031])).
% 78.67/50.97 tff(12236,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s8)), introduced(assumption)).
% 78.67/50.97 tff(12237,assumption,(~node20(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.97 tff(12238,assumption,(node21(c_e_h_2, c_r, s7, s8)), introduced(assumption)).
% 78.67/50.97 tff(12239,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node21(c_e_h_2, c_r, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node21(c_e_h_2, c_r, s7, s8)))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12240,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node21(c_e_h_2, c_r, s7, s8)))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12241,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node21(c_e_h_2, c_r, s7, s8))),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 78.67/50.97 tff(12242,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12241, 348, 12238, 12237, 12236])).
% 78.67/50.97 tff(12243,plain,((~node21(c_e_h_2, c_r, s7, s8)) | node20(c_e_h_2, c_r, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12244,plain,
% 78.67/50.97 (~node21(c_e_h_2, c_r, s7, s8)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12243, 12236, 12237])).
% 78.67/50.97 tff(12245,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_r, s7, s8) | node22(c_e_h_2, c_r, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_r, s7, s8) | node22(c_e_h_2, c_r, s7, s8))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12246,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_r, s7, s8) | node22(c_e_h_2, c_r, s7, s8))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12247,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_r, s7, s8) | node22(c_e_h_2, c_r, s7, s8)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 78.67/50.97 tff(12248,plain,
% 78.67/50.97 (node21(c_e_h_2, c_r, s7, s8) | node22(c_e_h_2, c_r, s7, s8)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12247, 383, 2456])).
% 78.67/50.97 tff(12249,plain,
% 78.67/50.97 (node22(c_e_h_2, c_r, s7, s8)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12248, 12244])).
% 78.67/50.97 tff(12250,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s7)), introduced(assumption)).
% 78.67/50.97 tff(12251,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node22(c_e_h_2, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node22(c_e_h_2, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12252,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node22(c_e_h_2, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12253,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | (~node22(c_e_h_2, c_r, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 78.67/50.97 tff(12254,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12253, 437, 12250, 12249, 12236])).
% 78.67/50.97 tff(12255,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7) | node20(c_e_h_2, c_r, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12256,plain,
% 78.67/50.97 (~m_and_h_gate_v_out(c_e_h_2, c_r, s8)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12255, 12235, 12023])).
% 78.67/50.97 tff(12257,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s8)), introduced(assumption)).
% 78.67/50.97 tff(12258,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s10)), introduced(assumption)).
% 78.67/50.97 tff(12259,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)), introduced(assumption)).
% 78.67/50.97 tff(12260,plain,
% 78.67/50.97 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12261,plain,
% 78.67/50.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12262,plain,
% 78.67/50.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 78.67/50.97 tff(12263,plain,
% 78.67/50.97 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12262, 7347, 12259])).
% 78.67/50.97 tff(12264,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_r, s9)), introduced(assumption)).
% 78.67/50.97 tff(12265,assumption,(node20(c_e_h_2, c_r, s9)), introduced(assumption)).
% 78.67/50.97 tff(12266,plain,
% 78.67/50.97 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s9))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12267,plain,
% 78.67/50.97 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s9))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12268,plain,
% 78.67/50.97 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s9)),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 78.67/50.97 tff(12269,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12268, 334, 12265, 12264])).
% 78.67/50.97 tff(12270,plain,(m_and_h_gate_v_in2(c_e_h_2, c_r, s9) | (~node20(c_e_h_2, c_r, s9))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12271,plain,
% 78.67/50.97 (~node20(c_e_h_2, c_r, s9)),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12270, 12263])).
% 78.67/50.97 tff(12272,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s9)), introduced(assumption)).
% 78.67/50.97 tff(12273,assumption,(~node20(c_e_h_2, c_r, s9)), introduced(assumption)).
% 78.67/50.97 tff(12274,assumption,(node21(c_e_h_2, c_r, s9, s10)), introduced(assumption)).
% 78.67/50.97 tff(12275,plain,
% 78.67/50.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node21(c_e_h_2, c_r, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node21(c_e_h_2, c_r, s9, s10)))),
% 78.67/50.97 inference(rewrite,[status(thm)],[])).
% 78.67/50.97 tff(12276,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node21(c_e_h_2, c_r, s9, s10)))),
% 78.67/50.97 inference(quant_inst,[status(thm)],[])).
% 78.67/50.97 tff(12277,plain,
% 78.67/50.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node21(c_e_h_2, c_r, s9, s10))),
% 78.67/50.97 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 78.67/50.97 tff(12278,plain,
% 78.67/50.97 ($false),
% 78.67/50.97 inference(unit_resolution,[status(thm)],[12277, 348, 12274, 12258, 12273])).
% 78.67/50.97 tff(12279,plain,((~node21(c_e_h_2, c_r, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | node20(c_e_h_2, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.97 tff(12280,plain,
% 78.67/50.97 (~node21(c_e_h_2, c_r, s9, s10)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12279, 12258, 12273])).
% 78.67/50.98 tff(12281,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_r, s9, s10) | node22(c_e_h_2, c_r, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_r, s9, s10) | node22(c_e_h_2, c_r, s9, s10))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12282,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_r, s9, s10) | node22(c_e_h_2, c_r, s9, s10))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12283,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_r, s9, s10) | node22(c_e_h_2, c_r, s9, s10)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 78.67/50.98 tff(12284,plain,
% 78.67/50.98 (node21(c_e_h_2, c_r, s9, s10) | node22(c_e_h_2, c_r, s9, s10)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12283, 383, 6039])).
% 78.67/50.98 tff(12285,plain,
% 78.67/50.98 (node22(c_e_h_2, c_r, s9, s10)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12284, 12280])).
% 78.67/50.98 tff(12286,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node22(c_e_h_2, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node22(c_e_h_2, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12287,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node22(c_e_h_2, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12288,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | (~node22(c_e_h_2, c_r, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 78.67/50.98 tff(12289,plain,
% 78.67/50.98 ($false),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12288, 437, 12285, 12258, 12272])).
% 78.67/50.98 tff(12290,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9) | node20(c_e_h_2, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.98 tff(12291,plain,
% 78.67/50.98 (m_and_h_gate_v_out(c_e_h_2, c_r, s9)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12290, 12271, 12258])).
% 78.67/50.98 tff(12292,assumption,(~node20(c_e_h_2, c_r, s8)), introduced(assumption)).
% 78.67/50.98 tff(12293,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s9)), introduced(assumption)).
% 78.67/50.98 tff(12294,assumption,(node22(c_e_h_2, c_r, s8, s9)), introduced(assumption)).
% 78.67/50.98 tff(12295,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node22(c_e_h_2, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node22(c_e_h_2, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12296,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node22(c_e_h_2, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12297,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node22(c_e_h_2, c_r, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12296, 12295])).
% 78.67/50.98 tff(12298,plain,
% 78.67/50.98 ($false),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12297, 437, 12293, 12294, 12257])).
% 78.67/50.98 tff(12299,plain,((~node22(c_e_h_2, c_r, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.98 tff(12300,plain,
% 78.67/50.98 (~node22(c_e_h_2, c_r, s8, s9)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12299, 12293, 12257])).
% 78.67/50.98 tff(12301,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_r, s8, s9) | node22(c_e_h_2, c_r, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_r, s8, s9) | node22(c_e_h_2, c_r, s8, s9))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12302,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_r, s8, s9) | node22(c_e_h_2, c_r, s8, s9))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12303,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_r, s8, s9) | node22(c_e_h_2, c_r, s8, s9)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 78.67/50.98 tff(12304,plain,
% 78.67/50.98 (node21(c_e_h_2, c_r, s8, s9) | node22(c_e_h_2, c_r, s8, s9)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12303, 383, 3713])).
% 78.67/50.98 tff(12305,plain,
% 78.67/50.98 (node21(c_e_h_2, c_r, s8, s9)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12304, 12300])).
% 78.67/50.98 tff(12306,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12307,plain,
% 78.67/50.98 ((node20(c_e_h_2, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node21(c_e_h_2, c_r, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12308,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node21(c_e_h_2, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9))))),
% 78.67/50.98 inference(monotonicity,[status(thm)],[12307])).
% 78.67/50.98 tff(12309,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node21(c_e_h_2, c_r, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9)))),
% 78.67/50.98 inference(transitivity,[status(thm)],[12308, 12306])).
% 78.67/50.98 tff(12310,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | (~node21(c_e_h_2, c_r, s8, s9)))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12311,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | (~node21(c_e_h_2, c_r, s8, s9))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 78.67/50.98 tff(12312,plain,
% 78.67/50.98 ($false),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12311, 348, 12293, 12305, 12292])).
% 78.67/50.98 tff(12313,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8) | m_and_h_gate_v_out(c_e_h_2, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.98 tff(12314,plain,
% 78.67/50.98 (node20(c_e_h_2, c_r, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12313, 12291, 12257])).
% 78.67/50.98 tff(12315,plain,
% 78.67/50.98 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12316,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s8))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12317,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s8)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12316, 12315])).
% 78.67/50.98 tff(12318,plain,
% 78.67/50.98 (m_and_h_gate_v_in2(c_e_h_2, c_r, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12317, 334, 12314])).
% 78.67/50.98 tff(12319,plain,
% 78.67/50.98 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12320,plain,
% 78.67/50.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12321,plain,
% 78.67/50.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12320, 12319])).
% 78.67/50.98 tff(12322,plain,
% 78.67/50.98 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12321, 7347, 12318])).
% 78.67/50.98 tff(12323,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.67/50.98 tff(12324,plain,
% 78.67/50.98 (node9(c_e_h_2, c_m, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[11996, 12322, 11905])).
% 78.67/50.98 tff(12325,plain,
% 78.67/50.98 (^[I0: $i, X: $i, I1: $i] : refl(((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X)) <=> ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X)))),
% 78.67/50.98 inference(bind,[status(th)],[])).
% 78.67/50.98 tff(12326,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(quant_intro,[status(thm)],[12325])).
% 78.67/50.98 tff(12327,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X)) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12328,plain,
% 78.67/50.98 (^[I0: $i, X: $i, I1: $i] : rewrite((m_and_h_gate_h_init_v_in1(I0, I1, X) | (~node9(I0, I1, X))) <=> ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X)))),
% 78.67/50.98 inference(bind,[status(th)],[])).
% 78.67/50.98 tff(12329,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_in1(I0, I1, X) | (~node9(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(quant_intro,[status(thm)],[12328])).
% 78.67/50.98 tff(12330,axiom,(![I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_in1(I0, I1, X) | (~node9(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_and_h_gate_h_init_3')).
% 78.67/50.98 tff(12331,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 78.67/50.98 tff(12332,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12331, 12327])).
% 78.67/50.98 tff(12333,plain,(
% 78.67/50.98 ![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(skolemize,[status(sab)],[12332])).
% 78.67/50.98 tff(12334,plain,
% 78.67/50.98 (![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12333, 12326])).
% 78.67/50.98 tff(12335,plain,
% 78.67/50.98 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12336,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12337,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_m, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 78.67/50.98 tff(12338,plain,
% 78.67/50.98 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12337, 12334, 12324])).
% 78.67/50.98 tff(12339,plain,
% 78.67/50.98 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X))) <=> ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X))))),
% 78.67/50.98 inference(bind,[status(th)],[])).
% 78.67/50.98 tff(12340,plain,
% 78.67/50.98 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))),
% 78.67/50.98 inference(quant_intro,[status(thm)],[12339])).
% 78.67/50.98 tff(12341,plain,
% 78.67/50.98 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12342,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_52')).
% 78.67/50.98 tff(12343,plain,
% 78.67/50.98 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 78.67/50.98 tff(12344,plain,(
% 78.67/50.98 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))),
% 78.67/50.98 inference(skolemize,[status(sab)],[12343])).
% 78.67/50.98 tff(12345,plain,
% 78.67/50.98 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12344, 12340])).
% 78.67/50.98 tff(12346,plain,
% 78.67/50.98 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12347,plain,
% 78.67/50.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12348,plain,
% 78.67/50.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 78.67/50.98 tff(12349,plain,
% 78.67/50.98 (~m_c_h_element_v_out(c_e_h_2, c_f, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12348, 12345, 12338])).
% 78.67/50.98 tff(12350,assumption,(m_c_h_element_v_out(c_e_h_2, c_f, s8)), introduced(assumption)).
% 78.67/50.98 tff(12351,assumption,(~m_c_h_element_v_out(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.67/50.98 tff(12352,assumption,(node18(c_e_h_2, c_f, s7, s8)), introduced(assumption)).
% 78.67/50.98 tff(12353,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12354,plain,
% 78.67/50.98 (((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~node18(c_e_h_2, c_f, s7, s8))) <=> (m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12355,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~node18(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8))))),
% 78.67/50.98 inference(monotonicity,[status(thm)],[12354])).
% 78.67/50.98 tff(12356,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~node18(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(transitivity,[status(thm)],[12355, 12353])).
% 78.67/50.98 tff(12357,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~node18(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12358,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node18(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 78.67/50.98 tff(12359,plain,
% 78.67/50.98 ($false),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12358, 481, 12350, 12351, 12352])).
% 78.67/50.98 tff(12360,plain,((~node18(c_e_h_2, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.98 tff(12361,plain,
% 78.67/50.98 (~node18(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12360, 12351, 12350])).
% 78.67/50.98 tff(12362,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12363,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12364,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 78.67/50.98 tff(12365,plain,
% 78.67/50.98 (node19(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12364, 494, 2456])).
% 78.67/50.98 tff(12366,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12367,plain,
% 78.67/50.98 ((node17(c_e_h_2, c_f, s7) | node18(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8))) <=> (node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12368,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s7) | node18(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(monotonicity,[status(thm)],[12367])).
% 78.67/50.98 tff(12369,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s7) | node18(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8))),
% 78.67/50.98 inference(transitivity,[status(thm)],[12368, 12366])).
% 78.67/50.98 tff(12370,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s7) | node18(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12371,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_f, s7) | (~node19(c_e_h_2, c_f, s7, s8)) | node18(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 78.67/50.98 tff(12372,plain,
% 78.67/50.98 (node17(c_e_h_2, c_f, s7) | node18(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12371, 508, 12365])).
% 78.67/50.98 tff(12373,plain,
% 78.67/50.98 (node17(c_e_h_2, c_f, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12372, 12361])).
% 78.67/50.98 tff(12374,plain,
% 78.67/50.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12375,plain,
% 78.67/50.98 (((~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7))) <=> ((~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12376,plain,
% 78.67/50.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))))),
% 78.67/50.98 inference(monotonicity,[status(thm)],[12375])).
% 78.67/50.98 tff(12377,plain,
% 78.67/50.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(transitivity,[status(thm)],[12376, 12374])).
% 78.67/50.98 tff(12378,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12379,plain,
% 78.67/50.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s7)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12378, 12377])).
% 78.67/50.98 tff(12380,plain,
% 78.67/50.98 ((~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12379, 541, 12323])).
% 78.67/50.98 tff(12381,plain,
% 78.67/50.98 (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12380, 12373])).
% 78.67/50.98 tff(12382,assumption,(node15(c_e_h_2, c_f, s7, s8)), introduced(assumption)).
% 78.67/50.98 tff(12383,plain,
% 78.67/50.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node15(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node15(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(rewrite,[status(thm)],[])).
% 78.67/50.98 tff(12384,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node15(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(quant_inst,[status(thm)],[])).
% 78.67/50.98 tff(12385,plain,
% 78.67/50.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | (~node15(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7)),
% 78.67/50.98 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 78.67/50.98 tff(12386,plain,
% 78.67/50.98 ($false),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12385, 612, 12350, 12351, 12382])).
% 78.67/50.98 tff(12387,plain,((~node15(c_e_h_2, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_out(c_e_h_2, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.98 tff(12388,plain,
% 78.67/50.98 (~node15(c_e_h_2, c_f, s7, s8)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12387, 12351, 12350])).
% 78.67/50.98 tff(12389,assumption,(node17(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.67/50.98 tff(12390,assumption,(node16(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.67/50.98 tff(12391,plain,
% 78.67/50.98 (m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12379, 541, 12389])).
% 78.67/50.98 tff(12392,plain,
% 78.67/50.98 (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)),
% 78.67/50.98 inference(unit_resolution,[status(thm)],[12391, 12323])).
% 78.67/50.98 tff(12393,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s7)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_f, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s7)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12394,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s7)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12395,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s7)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_f, s7)),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 78.67/50.99 tff(12396,plain,
% 78.67/50.99 (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_f, s7)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12395, 559, 12390])).
% 78.67/50.99 tff(12397,plain,
% 78.67/50.99 ($false),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12396, 12392, 12323])).
% 78.67/50.99 tff(12398,plain,(m_c_h_element_v_in2(c_e_h_2, c_f, s7) | (~node16(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.99 tff(12399,plain,
% 78.67/50.99 (m_c_h_element_v_in2(c_e_h_2, c_f, s7)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12398, 12390, 12389])).
% 78.67/50.99 tff(12400,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12401,plain,
% 78.67/50.99 ((m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7))) <=> (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12402,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7))))),
% 78.67/50.99 inference(monotonicity,[status(thm)],[12401])).
% 78.67/50.99 tff(12403,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(transitivity,[status(thm)],[12402, 12400])).
% 78.67/50.99 tff(12404,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12405,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node17(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 78.67/50.99 tff(12406,plain,
% 78.67/50.99 (m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12405, 1172, 12389])).
% 78.67/50.99 tff(12407,plain,
% 78.67/50.99 (m_c_h_element_v_in1(c_e_h_2, c_f, s7)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12406, 12399])).
% 78.67/50.99 tff(12408,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12409,plain,
% 78.67/50.99 (((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7))) <=> ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12410,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))))),
% 78.67/50.99 inference(monotonicity,[status(thm)],[12409])).
% 78.67/50.99 tff(12411,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(transitivity,[status(thm)],[12410, 12408])).
% 78.67/50.99 tff(12412,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12413,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 78.67/50.99 tff(12414,plain,
% 78.67/50.99 ((~m_c_h_element_v_in2(c_e_h_2, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s7))),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12413, 1192, 12390])).
% 78.67/50.99 tff(12415,plain,
% 78.67/50.99 ($false),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12414, 12407, 12399])).
% 78.67/50.99 tff(12416,plain,((~node16(c_e_h_2, c_f, s7)) | (~node17(c_e_h_2, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/50.99 tff(12417,plain,
% 78.67/50.99 (~node16(c_e_h_2, c_f, s7)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12416, 12373])).
% 78.67/50.99 tff(12418,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12419,plain,
% 78.67/50.99 ((node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8) | node15(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8))) <=> ((~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12420,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8) | node15(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.99 inference(monotonicity,[status(thm)],[12419])).
% 78.67/50.99 tff(12421,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8) | node15(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8))),
% 78.67/50.99 inference(transitivity,[status(thm)],[12420, 12418])).
% 78.67/50.99 tff(12422,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8) | node15(c_e_h_2, c_f, s7, s8) | (~node19(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12423,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_f, s7, s8)) | node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8)),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 78.67/50.99 tff(12424,plain,
% 78.67/50.99 (node15(c_e_h_2, c_f, s7, s8) | node16(c_e_h_2, c_f, s7) | node14(c_e_h_2, c_f, s7, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12423, 594, 12365])).
% 78.67/50.99 tff(12425,plain,
% 78.67/50.99 (node14(c_e_h_2, c_f, s7, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12424, 12417, 12388])).
% 78.67/50.99 tff(12426,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_f, s7)), introduced(assumption)).
% 78.67/50.99 tff(12427,assumption,(node14(c_e_h_2, c_f, s7, s8)), introduced(assumption)).
% 78.67/50.99 tff(12428,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12429,plain,
% 78.67/50.99 (((~node14(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12430,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8))))),
% 78.67/50.99 inference(monotonicity,[status(thm)],[12429])).
% 78.67/50.99 tff(12431,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8)))),
% 78.67/50.99 inference(transitivity,[status(thm)],[12430, 12428])).
% 78.67/50.99 tff(12432,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12433,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7) | (~node14(c_e_h_2, c_f, s7, s8))),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 78.67/50.99 tff(12434,plain,
% 78.67/50.99 ($false),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12433, 575, 12350, 12427, 12426])).
% 78.67/50.99 tff(12435,plain,((~node14(c_e_h_2, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in1(c_e_h_2, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.99 tff(12436,plain,
% 78.67/50.99 ($false),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12435, 12425, 12381, 12350])).
% 78.67/50.99 tff(12437,plain,(m_c_h_element_v_out(c_e_h_2, c_f, s7) | (~m_c_h_element_v_out(c_e_h_2, c_f, s8)) | m_c_h_element_v_in2(c_e_h_2, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/50.99 tff(12438,plain,
% 78.67/50.99 (~m_c_h_element_v_out(c_e_h_2, c_f, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12437, 12349, 12323])).
% 78.67/50.99 tff(12439,plain,
% 78.67/50.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8) | m_c_h_element_v_out(c_e_h_2, c_f, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8) | m_c_h_element_v_out(c_e_h_2, c_f, s8))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12440,plain,
% 78.67/50.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8) | m_c_h_element_v_out(c_e_h_2, c_f, s8))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12441,plain,
% 78.67/50.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8) | m_c_h_element_v_out(c_e_h_2, c_f, s8)),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 78.67/50.99 tff(12442,plain,
% 78.67/50.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8) | m_c_h_element_v_out(c_e_h_2, c_f, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12441, 145])).
% 78.67/50.99 tff(12443,plain,
% 78.67/50.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12442, 12438])).
% 78.67/50.99 tff(12444,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.67/50.99 tff(12445,plain,
% 78.67/50.99 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s8))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12446,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s8))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12447,plain,
% 78.67/50.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s8)),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 78.67/50.99 tff(12448,plain,
% 78.67/50.99 (m_and_h_gate_v_in1(c_e_h_2, c_r, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12447, 22, 12314])).
% 78.67/50.99 tff(12449,plain,
% 78.67/50.99 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12450,plain,
% 78.67/50.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12451,plain,
% 78.67/50.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 78.67/50.99 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 78.67/50.99 tff(12452,plain,
% 78.67/50.99 (m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 78.67/50.99 inference(unit_resolution,[status(thm)],[12451, 9234, 12448])).
% 78.67/50.99 tff(12453,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.67/50.99 tff(12454,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s8)), introduced(assumption)).
% 78.67/50.99 tff(12455,assumption,(node18(c_e_h_2, c_e, s7, s8)), introduced(assumption)).
% 78.67/50.99 tff(12456,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12457,plain,
% 78.67/50.99 (((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~node18(c_e_h_2, c_e, s7, s8))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8)))),
% 78.67/50.99 inference(rewrite,[status(thm)],[])).
% 78.67/50.99 tff(12458,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~node18(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8))))),
% 78.67/50.99 inference(monotonicity,[status(thm)],[12457])).
% 78.67/50.99 tff(12459,plain,
% 78.67/50.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~node18(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8)))),
% 78.67/50.99 inference(transitivity,[status(thm)],[12458, 12456])).
% 78.67/50.99 tff(12460,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~node18(c_e_h_2, c_e, s7, s8)))),
% 78.67/50.99 inference(quant_inst,[status(thm)],[])).
% 78.67/50.99 tff(12461,plain,
% 78.67/50.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node18(c_e_h_2, c_e, s7, s8))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 78.67/51.00 tff(12462,plain,
% 78.67/51.00 ($false),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12461, 481, 12454, 12453, 12455])).
% 78.67/51.00 tff(12463,plain,((~node18(c_e_h_2, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/51.00 tff(12464,plain,
% 78.67/51.00 (~node18(c_e_h_2, c_e, s7, s8)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12463, 12454, 12453])).
% 78.67/51.00 tff(12465,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_e, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_e, s7, s8))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12466,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_e, s7, s8))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12467,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_e, s7, s8)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 78.67/51.00 tff(12468,plain,
% 78.67/51.00 (node19(c_e_h_2, c_e, s7, s8)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12467, 494, 2456])).
% 78.67/51.00 tff(12469,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12470,plain,
% 78.67/51.00 ((node17(c_e_h_2, c_e, s7) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8))) <=> (node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12471,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s7) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(monotonicity,[status(thm)],[12470])).
% 78.67/51.00 tff(12472,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s7) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(transitivity,[status(thm)],[12471, 12469])).
% 78.67/51.00 tff(12473,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s7) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12474,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)) | node17(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 78.67/51.00 tff(12475,plain,
% 78.67/51.00 (node18(c_e_h_2, c_e, s7, s8) | node17(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12474, 508, 12468])).
% 78.67/51.00 tff(12476,plain,
% 78.67/51.00 (node17(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12475, 12464])).
% 78.67/51.00 tff(12477,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12478,plain,
% 78.67/51.00 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~node17(c_e_h_2, c_e, s7))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12479,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~node17(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7))))),
% 78.67/51.00 inference(monotonicity,[status(thm)],[12478])).
% 78.67/51.00 tff(12480,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~node17(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(transitivity,[status(thm)],[12479, 12477])).
% 78.67/51.00 tff(12481,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12482,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12481, 12480])).
% 78.67/51.00 tff(12483,plain,
% 78.67/51.00 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12482, 541, 12444])).
% 78.67/51.00 tff(12484,plain,
% 78.67/51.00 (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12483, 12476])).
% 78.67/51.00 tff(12485,assumption,(node15(c_e_h_2, c_e, s7, s8)), introduced(assumption)).
% 78.67/51.00 tff(12486,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node15(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node15(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12487,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node15(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12488,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node15(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 78.67/51.00 tff(12489,plain,
% 78.67/51.00 ($false),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12488, 612, 12454, 12453, 12485])).
% 78.67/51.00 tff(12490,plain,((~node15(c_e_h_2, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_out(c_e_h_2, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/51.00 tff(12491,plain,
% 78.67/51.00 (~node15(c_e_h_2, c_e, s7, s8)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12490, 12454, 12453])).
% 78.67/51.00 tff(12492,assumption,(node16(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.67/51.00 tff(12493,assumption,(node17(c_e_h_2, c_e, s7)), introduced(assumption)).
% 78.67/51.00 tff(12494,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12495,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12496,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s7)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 78.67/51.00 tff(12497,plain,
% 78.67/51.00 (m_c_h_element_v_in1(c_e_h_2, c_e, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12496, 559, 12492])).
% 78.67/51.00 tff(12498,plain,
% 78.67/51.00 (m_c_h_element_v_in1(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12497, 12444])).
% 78.67/51.00 tff(12499,plain,
% 78.67/51.00 (m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12482, 541, 12493])).
% 78.67/51.00 tff(12500,plain,
% 78.67/51.00 ($false),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12499, 12498, 12444])).
% 78.67/51.00 tff(12501,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~node17(c_e_h_2, c_e, s7)) | (~node16(c_e_h_2, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/51.00 tff(12502,plain,
% 78.67/51.00 (m_c_h_element_v_in2(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12501, 12493, 12492])).
% 78.67/51.00 tff(12503,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12504,plain,
% 78.67/51.00 (((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7))) <=> ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12505,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7))))),
% 78.67/51.00 inference(monotonicity,[status(thm)],[12504])).
% 78.67/51.00 tff(12506,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(transitivity,[status(thm)],[12505, 12503])).
% 78.67/51.00 tff(12507,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12508,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 78.67/51.00 tff(12509,plain,
% 78.67/51.00 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12508, 1192, 12492])).
% 78.67/51.00 tff(12510,plain,
% 78.67/51.00 (~m_c_h_element_v_in1(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12509, 12502])).
% 78.67/51.00 tff(12511,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12512,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12513,plain,
% 78.67/51.00 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7)) | (~node17(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12512, 12511])).
% 78.67/51.00 tff(12514,plain,
% 78.67/51.00 (m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12513, 1172, 12493])).
% 78.67/51.00 tff(12515,plain,
% 78.67/51.00 ($false),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12514, 12510, 12502])).
% 78.67/51.00 tff(12516,plain,((~node17(c_e_h_2, c_e, s7)) | (~node16(c_e_h_2, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 78.67/51.00 tff(12517,plain,
% 78.67/51.00 (~node16(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12516, 12476])).
% 78.67/51.00 tff(12518,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12519,plain,
% 78.67/51.00 ((node16(c_e_h_2, c_e, s7) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8))) <=> ((~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12520,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s7) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(monotonicity,[status(thm)],[12519])).
% 78.67/51.00 tff(12521,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s7) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(transitivity,[status(thm)],[12520, 12518])).
% 78.67/51.00 tff(12522,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s7) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | (~node19(c_e_h_2, c_e, s7, s8)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12523,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s7, s8)) | node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 78.67/51.00 tff(12524,plain,
% 78.67/51.00 (node14(c_e_h_2, c_e, s7, s8) | node15(c_e_h_2, c_e, s7, s8) | node16(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12523, 594, 12468])).
% 78.67/51.00 tff(12525,plain,
% 78.67/51.00 (node14(c_e_h_2, c_e, s7, s8)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12524, 12517, 12491])).
% 78.67/51.00 tff(12526,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12527,plain,
% 78.67/51.00 (((~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12528,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(monotonicity,[status(thm)],[12527])).
% 78.67/51.00 tff(12529,plain,
% 78.67/51.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(transitivity,[status(thm)],[12528, 12526])).
% 78.67/51.00 tff(12530,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12531,plain,
% 78.67/51.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | (~node14(c_e_h_2, c_e, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12530, 12529])).
% 78.67/51.00 tff(12532,plain,
% 78.67/51.00 ($false),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12531, 575, 12454, 12525, 12484])).
% 78.67/51.00 tff(12533,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | m_c_h_element_v_out(c_e_h_2, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/51.00 tff(12534,plain,
% 78.67/51.00 (m_c_h_element_v_out(c_e_h_2, c_e, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12533, 12452, 12444])).
% 78.67/51.00 tff(12535,plain,
% 78.67/51.00 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X))) <=> ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X))))),
% 78.67/51.00 inference(bind,[status(th)],[])).
% 78.67/51.00 tff(12536,plain,
% 78.67/51.00 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))),
% 78.67/51.00 inference(quant_intro,[status(thm)],[12535])).
% 78.67/51.00 tff(12537,plain,
% 78.67/51.00 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12538,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_58')).
% 78.67/51.00 tff(12539,plain,
% 78.67/51.00 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 78.67/51.00 tff(12540,plain,(
% 78.67/51.00 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))),
% 78.67/51.00 inference(skolemize,[status(sab)],[12539])).
% 78.67/51.00 tff(12541,plain,
% 78.67/51.00 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12540, 12536])).
% 78.67/51.00 tff(12542,plain,
% 78.67/51.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12543,plain,
% 78.67/51.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7)))),
% 78.67/51.00 inference(quant_inst,[status(thm)],[])).
% 78.67/51.00 tff(12544,plain,
% 78.67/51.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s7))),
% 78.67/51.00 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 78.67/51.00 tff(12545,plain,
% 78.67/51.00 (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)),
% 78.67/51.00 inference(unit_resolution,[status(thm)],[12544, 12541, 12534])).
% 78.67/51.00 tff(12546,plain,
% 78.67/51.00 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7))),
% 78.67/51.00 inference(rewrite,[status(thm)],[])).
% 78.67/51.00 tff(12547,plain,
% 78.67/51.01 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7))),
% 78.67/51.01 inference(quant_inst,[status(thm)],[])).
% 78.67/51.01 tff(12548,plain,
% 78.67/51.01 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s7)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)),
% 78.67/51.01 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 78.67/51.01 tff(12549,plain,
% 78.67/51.01 (~node9(c_e_h_2, c_n, s7)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12548, 12334, 12545])).
% 78.67/51.01 tff(12550,plain,
% 78.67/51.01 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12004, 238, 12324])).
% 78.67/51.01 tff(12551,plain,
% 78.67/51.01 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12000, 3886, 12550])).
% 78.67/51.01 tff(12552,assumption,(~node9(c_e_h_2, c_n, s7)), introduced(assumption)).
% 78.67/51.01 tff(12553,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)), introduced(assumption)).
% 78.67/51.01 tff(12554,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12555,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7))),
% 78.67/51.01 inference(quant_inst,[status(thm)],[])).
% 78.67/51.01 tff(12556,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)),
% 78.67/51.01 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 78.67/51.01 tff(12557,plain,
% 78.67/51.01 ($false),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12556, 282, 11643, 12553, 11915])).
% 78.67/51.01 tff(12558,plain,((~node11(c_e_h_2, c_n, s7, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))), inference(lemma,lemma(discharge,[]))).
% 78.67/51.01 tff(12559,plain,
% 78.67/51.01 (~node11(c_e_h_2, c_n, s7, s8)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12558, 12553, 11643])).
% 78.67/51.01 tff(12560,plain,
% 78.67/51.01 (node10(c_e_h_2, c_n, s7, s8)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[11939, 12559])).
% 78.67/51.01 tff(12561,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s7, s8)))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12562,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s7, s8)))),
% 78.67/51.01 inference(quant_inst,[status(thm)],[])).
% 78.67/51.01 tff(12563,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_n, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s7, s8))),
% 78.67/51.01 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 78.67/51.01 tff(12564,plain,
% 78.67/51.01 ($false),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12563, 252, 12553, 12560, 12552])).
% 78.67/51.01 tff(12565,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | node9(c_e_h_2, c_n, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)), inference(lemma,lemma(discharge,[]))).
% 78.67/51.01 tff(12566,plain,
% 78.67/51.01 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12565, 12551, 12549])).
% 78.67/51.01 tff(12567,plain,
% 78.67/51.01 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12568,plain,
% 78.67/51.01 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))),
% 78.67/51.01 inference(quant_inst,[status(thm)],[])).
% 78.67/51.01 tff(12569,plain,
% 78.67/51.01 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)),
% 78.67/51.01 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 78.67/51.01 tff(12570,plain,
% 78.67/51.01 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12569, 121])).
% 78.67/51.01 tff(12571,plain,
% 78.67/51.01 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12570, 12566])).
% 78.67/51.01 tff(12572,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/51.01 tff(12573,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)), introduced(assumption)).
% 78.67/51.01 tff(12574,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12575,plain,
% 78.67/51.01 (((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12576,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9))))),
% 78.67/51.01 inference(monotonicity,[status(thm)],[12575])).
% 78.67/51.01 tff(12577,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9)))),
% 78.67/51.01 inference(transitivity,[status(thm)],[12576, 12574])).
% 78.67/51.01 tff(12578,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 78.67/51.01 inference(quant_inst,[status(thm)],[])).
% 78.67/51.01 tff(12579,plain,
% 78.67/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~node10(c_e_h_2, c_m, s8, s9))),
% 78.67/51.01 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 78.67/51.01 tff(12580,plain,
% 78.67/51.01 ($false),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12579, 160, 12572, 12573, 12259, 11956])).
% 78.67/51.01 tff(12581,plain,((~node10(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 78.67/51.01 tff(12582,plain,
% 78.67/51.01 (~node10(c_e_h_2, c_m, s8, s9)),
% 78.67/51.01 inference(unit_resolution,[status(thm)],[12581, 12259, 12573, 12572])).
% 78.67/51.01 tff(12583,assumption,(node11(c_e_h_2, c_m, s8, s9)), introduced(assumption)).
% 78.67/51.01 tff(12584,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9)))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12585,plain,
% 78.67/51.01 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~node11(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9)))),
% 78.67/51.01 inference(rewrite,[status(thm)],[])).
% 78.67/51.01 tff(12586,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~node11(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9))))),
% 78.67/51.01 inference(monotonicity,[status(thm)],[12585])).
% 78.67/51.01 tff(12587,plain,
% 78.67/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~node11(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9)))),
% 78.75/51.01 inference(transitivity,[status(thm)],[12586, 12584])).
% 78.75/51.01 tff(12588,plain,
% 78.75/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~node11(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12589,plain,
% 78.75/51.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~node11(c_e_h_2, c_m, s8, s9))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 78.75/51.01 tff(12590,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12589, 208, 11979, 12259, 12583])).
% 78.75/51.01 tff(12591,plain,((~node11(c_e_h_2, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12592,plain,
% 78.75/51.01 (~node11(c_e_h_2, c_m, s8, s9)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12591, 12259, 11979])).
% 78.75/51.01 tff(12593,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[11969, 12592, 12582])).
% 78.75/51.01 tff(12594,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12595,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12594, 12571, 12443, 12259, 12322])).
% 78.75/51.01 tff(12596,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | m_and_h_gate_v_out(c_e_h_2, c_r, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12597,plain,
% 78.75/51.01 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | m_c_h_element_v_in2(c_e_h_2, c_f, s7) | m_c_h_element_v_in2(c_e_h_2, c_e, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s10))),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12596, 11904, 12256])).
% 78.75/51.01 tff(12598,plain,
% 78.75/51.01 (~m_and_h_gate_v_out(c_e_h_2, c_r, s10)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12597, 12008, 10936, 10929])).
% 78.75/51.01 tff(12599,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s10)), introduced(assumption)).
% 78.75/51.01 tff(12600,assumption,(m_user_v_ack(c_e_h_2, c_u, s10)), introduced(assumption)).
% 78.75/51.01 tff(12601,plain,
% 78.75/51.01 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12602,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12603,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10)),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 78.75/51.01 tff(12604,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12603, 7367, 12600, 12599])).
% 78.75/51.01 tff(12605,plain,((~m_user_v_ack(c_e_h_2, c_u, s10)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12606,plain,
% 78.75/51.01 (~m_user_v_ack(c_e_h_2, c_u, s10)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12605, 12598])).
% 78.75/51.01 tff(12607,plain,
% 78.75/51.01 (^[X: $i] : refl((m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X))) <=> (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X))))),
% 78.75/51.01 inference(bind,[status(th)],[])).
% 78.75/51.01 tff(12608,plain,
% 78.75/51.01 (![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))),
% 78.75/51.01 inference(quant_intro,[status(thm)],[12607])).
% 78.75/51.01 tff(12609,plain,
% 78.75/51.01 (![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12610,axiom,(![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 78.75/51.01 tff(12611,plain,
% 78.75/51.01 (![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 78.75/51.01 tff(12612,plain,(
% 78.75/51.01 ![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))),
% 78.75/51.01 inference(skolemize,[status(sab)],[12611])).
% 78.75/51.01 tff(12613,plain,
% 78.75/51.01 (![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12612, 12608])).
% 78.75/51.01 tff(12614,plain,
% 78.75/51.01 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s10) | (~node25(s10)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s10) | (~node25(s10)))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12615,plain,
% 78.75/51.01 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s10) | (~node25(s10)))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12616,plain,
% 78.75/51.01 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s10) | (~node25(s10))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 78.75/51.01 tff(12617,plain,
% 78.75/51.01 (~node25(s10)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12616, 12613, 12606])).
% 78.75/51.01 tff(12618,plain,
% 78.75/51.01 (^[X: $i] : refl(((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X)) <=> ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X)))),
% 78.75/51.01 inference(bind,[status(th)],[])).
% 78.75/51.01 tff(12619,plain,
% 78.75/51.01 (![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X)) <=> ![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(quant_intro,[status(thm)],[12618])).
% 78.75/51.01 tff(12620,plain,
% 78.75/51.01 (![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X)) <=> ![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12621,plain,
% 78.75/51.01 (^[X: $i] : rewrite((m_user_v_ack(c_e_h_2, c_u, X) | (~node23(X))) <=> ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X)))),
% 78.75/51.01 inference(bind,[status(th)],[])).
% 78.75/51.01 tff(12622,plain,
% 78.75/51.01 (![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node23(X))) <=> ![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(quant_intro,[status(thm)],[12621])).
% 78.75/51.01 tff(12623,axiom,(![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node23(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 78.75/51.01 tff(12624,plain,
% 78.75/51.01 (![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 78.75/51.01 tff(12625,plain,
% 78.75/51.01 (![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12624, 12620])).
% 78.75/51.01 tff(12626,plain,(
% 78.75/51.01 ![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(skolemize,[status(sab)],[12625])).
% 78.75/51.01 tff(12627,plain,
% 78.75/51.01 (![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12626, 12619])).
% 78.75/51.01 tff(12628,plain,
% 78.75/51.01 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s10)) | m_user_v_ack(c_e_h_2, c_u, s10))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s10)) | m_user_v_ack(c_e_h_2, c_u, s10))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12629,plain,
% 78.75/51.01 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s10)) | m_user_v_ack(c_e_h_2, c_u, s10))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12630,plain,
% 78.75/51.01 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s10)) | m_user_v_ack(c_e_h_2, c_u, s10)),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12629, 12628])).
% 78.75/51.01 tff(12631,plain,
% 78.75/51.01 (~node23(s10)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12630, 12627, 12606])).
% 78.75/51.01 tff(12632,plain,
% 78.75/51.01 (^[X: $i] : refl((node23(X) | node24(X) | node25(X) | (~node26(X))) <=> (node23(X) | node24(X) | node25(X) | (~node26(X))))),
% 78.75/51.01 inference(bind,[status(th)],[])).
% 78.75/51.01 tff(12633,plain,
% 78.75/51.01 (![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X))) <=> ![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(quant_intro,[status(thm)],[12632])).
% 78.75/51.01 tff(12634,plain,
% 78.75/51.01 (![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X))) <=> ![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12635,plain,
% 78.75/51.01 (^[X: $i] : trans(monotonicity(rewrite(((node23(X) | node24(X)) | node25(X)) <=> (node23(X) | node24(X) | node25(X))), ((((node23(X) | node24(X)) | node25(X)) | (~node26(X))) <=> ((node23(X) | node24(X) | node25(X)) | (~node26(X))))), rewrite(((node23(X) | node24(X) | node25(X)) | (~node26(X))) <=> (node23(X) | node24(X) | node25(X) | (~node26(X)))), ((((node23(X) | node24(X)) | node25(X)) | (~node26(X))) <=> (node23(X) | node24(X) | node25(X) | (~node26(X)))))),
% 78.75/51.01 inference(bind,[status(th)],[])).
% 78.75/51.01 tff(12636,plain,
% 78.75/51.01 (![X: $i] : (((node23(X) | node24(X)) | node25(X)) | (~node26(X))) <=> ![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(quant_intro,[status(thm)],[12635])).
% 78.75/51.01 tff(12637,axiom,(![X: $i] : (((node23(X) | node24(X)) | node25(X)) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 78.75/51.01 tff(12638,plain,
% 78.75/51.01 (![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 78.75/51.01 tff(12639,plain,
% 78.75/51.01 (![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12638, 12634])).
% 78.75/51.01 tff(12640,plain,(
% 78.75/51.01 ![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(skolemize,[status(sab)],[12639])).
% 78.75/51.01 tff(12641,plain,
% 78.75/51.01 (![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12640, 12633])).
% 78.75/51.01 tff(12642,plain,
% 78.75/51.01 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s10) | node24(s10) | node25(s10) | (~node26(s10)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s10) | node24(s10) | node25(s10) | (~node26(s10)))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12643,plain,
% 78.75/51.01 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s10) | node24(s10) | node25(s10) | (~node26(s10)))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12644,plain,
% 78.75/51.01 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s10) | node24(s10) | node25(s10) | (~node26(s10))),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 78.75/51.01 tff(12645,plain,
% 78.75/51.01 (node24(s10) | (~node26(s10))),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12644, 12641, 12631, 12617])).
% 78.75/51.01 tff(12646,plain,
% 78.75/51.01 (~node26(s10)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12645, 9506])).
% 78.75/51.01 tff(12647,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)), introduced(assumption)).
% 78.75/51.01 tff(12648,plain,
% 78.75/51.01 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12649,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12650,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 78.75/51.01 tff(12651,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12650, 3964, 12647, 8081])).
% 78.75/51.01 tff(12652,plain,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12653,plain,
% 78.75/51.01 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12652, 8081])).
% 78.75/51.01 tff(12654,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s14)), introduced(assumption)).
% 78.75/51.01 tff(12655,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s16)), introduced(assumption)).
% 78.75/51.01 tff(12656,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s5)), introduced(assumption)).
% 78.75/51.01 tff(12657,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s11)), introduced(assumption)).
% 78.75/51.01 tff(12658,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s10)), introduced(assumption)).
% 78.75/51.01 tff(12659,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)), introduced(assumption)).
% 78.75/51.01 tff(12660,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.75/51.01 tff(12661,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_b, s0)), introduced(assumption)).
% 78.75/51.01 tff(12662,plain,
% 78.75/51.01 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s0))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12663,plain,
% 78.75/51.01 ($false),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12662, 956, 12661])).
% 78.75/51.01 tff(12664,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_b, s0)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.01 tff(12665,plain,
% 78.75/51.01 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12666,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12667,plain,
% 78.75/51.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s0)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0)),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 78.75/51.01 tff(12668,plain,
% 78.75/51.01 (~m_and_h_gate_v_in1(c_e_h_2, c_d, s0)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12667, 966, 12664])).
% 78.75/51.01 tff(12669,plain,
% 78.75/51.01 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s0))),
% 78.75/51.01 inference(rewrite,[status(thm)],[])).
% 78.75/51.01 tff(12670,plain,
% 78.75/51.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s0))),
% 78.75/51.01 inference(quant_inst,[status(thm)],[])).
% 78.75/51.01 tff(12671,plain,
% 78.75/51.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s0)),
% 78.75/51.01 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 78.75/51.01 tff(12672,plain,
% 78.75/51.01 (~node20(c_e_h_2, c_d, s0)),
% 78.75/51.01 inference(unit_resolution,[status(thm)],[12671, 22, 12668])).
% 78.75/51.01 tff(12673,assumption,(m_and_h_gate_v_out(c_e_h_2, c_d, s1)), introduced(assumption)).
% 78.75/51.01 tff(12674,assumption,(node22(c_e_h_2, c_d, s0, s1)), introduced(assumption)).
% 78.75/51.01 tff(12675,plain,
% 78.75/51.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node22(c_e_h_2, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node22(c_e_h_2, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12676,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node22(c_e_h_2, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12677,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node22(c_e_h_2, c_d, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 78.75/51.02 tff(12678,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12677, 437, 12674, 9784, 12673])).
% 78.75/51.02 tff(12679,plain,((~node22(c_e_h_2, c_d, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12680,plain,
% 78.75/51.02 (~node22(c_e_h_2, c_d, s0, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12679, 12673])).
% 78.75/51.02 tff(12681,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_d, s0, s1) | node22(c_e_h_2, c_d, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_d, s0, s1) | node22(c_e_h_2, c_d, s0, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12682,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_d, s0, s1) | node22(c_e_h_2, c_d, s0, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12683,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_d, s0, s1) | node22(c_e_h_2, c_d, s0, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 78.75/51.02 tff(12684,plain,
% 78.75/51.02 (node21(c_e_h_2, c_d, s0, s1) | node22(c_e_h_2, c_d, s0, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12683, 383, 183])).
% 78.75/51.02 tff(12685,plain,
% 78.75/51.02 (node21(c_e_h_2, c_d, s0, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12684, 12680])).
% 78.75/51.02 tff(12686,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node21(c_e_h_2, c_d, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node21(c_e_h_2, c_d, s0, s1)))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12687,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node21(c_e_h_2, c_d, s0, s1)))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12688,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s1)) | (~node21(c_e_h_2, c_d, s0, s1))),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12687, 12686])).
% 78.75/51.02 tff(12689,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12688, 348, 12685, 12673, 12672])).
% 78.75/51.02 tff(12690,plain,(~m_and_h_gate_v_out(c_e_h_2, c_d, s1)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12691,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_d, s1)), introduced(assumption)).
% 78.75/51.02 tff(12692,assumption,(m_or_h_gate_v_in2(c_e_h_2, c_g, s1)), introduced(assumption)).
% 78.75/51.02 tff(12693,plain,
% 78.75/51.02 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12694,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12695,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 78.75/51.02 tff(12696,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12695, 2501, 12692, 12691])).
% 78.75/51.02 tff(12697,plain,(m_and_h_gate_v_out(c_e_h_2, c_d, s1) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s1))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12698,plain,
% 78.75/51.02 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12697, 12690])).
% 78.75/51.02 tff(12699,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s2)), introduced(assumption)).
% 78.75/51.02 tff(12700,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)), introduced(assumption)).
% 78.75/51.02 tff(12701,plain,
% 78.75/51.02 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12702,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12703,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s1)) | m_and_h_gate_v_out(c_e_h_2, c_c, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 78.75/51.02 tff(12704,plain,
% 78.75/51.02 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12703, 2486, 10984])).
% 78.75/51.02 tff(12705,assumption,(node5(c_e_h_2, c_g, s1, s2)), introduced(assumption)).
% 78.75/51.02 tff(12706,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12707,plain,
% 78.75/51.02 ((m_or_h_gate_v_in1(c_e_h_2, c_g, s1) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12708,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s1) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1)))),
% 78.75/51.02 inference(monotonicity,[status(thm)],[12707])).
% 78.75/51.02 tff(12709,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s1) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(transitivity,[status(thm)],[12708, 12706])).
% 78.75/51.02 tff(12710,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s1) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12711,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1) | (~node5(c_e_h_2, c_g, s1, s2)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 78.75/51.02 tff(12712,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12711, 1888, 12705, 12699, 12704, 12700])).
% 78.75/51.02 tff(12713,plain,((~node5(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12714,plain,
% 78.75/51.02 (~node5(c_e_h_2, c_g, s1, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12713, 12699, 12700])).
% 78.75/51.02 tff(12715,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12716,plain,
% 78.75/51.02 ((node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12717,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2)))),
% 78.75/51.02 inference(monotonicity,[status(thm)],[12716])).
% 78.75/51.02 tff(12718,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2))),
% 78.75/51.02 inference(transitivity,[status(thm)],[12717, 12715])).
% 78.75/51.02 tff(12719,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2) | (~trans(s1, s2)))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12720,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s1, s2)) | node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 78.75/51.02 tff(12721,plain,
% 78.75/51.02 (node6(c_e_h_2, c_g, s1, s2) | node5(c_e_h_2, c_g, s1, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12720, 1870, 265])).
% 78.75/51.02 tff(12722,plain,
% 78.75/51.02 (node6(c_e_h_2, c_g, s1, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12721, 12714])).
% 78.75/51.02 tff(12723,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2)))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12724,plain,
% 78.75/51.02 (((~node6(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1)) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2)))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12725,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2))))),
% 78.75/51.02 inference(monotonicity,[status(thm)],[12724])).
% 78.75/51.02 tff(12726,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2)))),
% 78.75/51.02 inference(transitivity,[status(thm)],[12725, 12723])).
% 78.75/51.02 tff(12727,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s1, s2)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12728,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s1) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | (~node6(c_e_h_2, c_g, s1, s2))),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 78.75/51.02 tff(12729,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12728, 1851, 12722, 12699, 9831])).
% 78.75/51.02 tff(12730,plain,((~m_or_h_gate_v_out(c_e_h_2, c_g, s2)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s1)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12731,plain,
% 78.75/51.02 (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12730, 12698])).
% 78.75/51.02 tff(12732,plain,
% 78.75/51.02 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12733,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12734,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 78.75/51.02 tff(12735,plain,
% 78.75/51.02 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12734, 2538, 12731])).
% 78.75/51.02 tff(12736,plain,
% 78.75/51.02 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s2))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12737,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s2))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12738,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s2)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 78.75/51.02 tff(12739,plain,
% 78.75/51.02 (~node20(c_e_h_2, c_k, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12738, 22, 12735])).
% 78.75/51.02 tff(12740,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s2)), introduced(assumption)).
% 78.75/51.02 tff(12741,plain,
% 78.75/51.02 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12742,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12743,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s1)) | m_or_h_gate_v_out(c_e_h_2, c_g, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 78.75/51.02 tff(12744,plain,
% 78.75/51.02 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12743, 2538, 9831])).
% 78.75/51.02 tff(12745,plain,
% 78.75/51.02 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s1))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12746,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s1))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12747,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s1)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 78.75/51.02 tff(12748,plain,
% 78.75/51.02 (~node20(c_e_h_2, c_k, s1)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12747, 22, 12744])).
% 78.75/51.02 tff(12749,assumption,(~node20(c_e_h_2, c_k, s1)), introduced(assumption)).
% 78.75/51.02 tff(12750,assumption,(node21(c_e_h_2, c_k, s1, s2)), introduced(assumption)).
% 78.75/51.02 tff(12751,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node21(c_e_h_2, c_k, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node21(c_e_h_2, c_k, s1, s2)))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12752,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node21(c_e_h_2, c_k, s1, s2)))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12753,plain,
% 78.75/51.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node21(c_e_h_2, c_k, s1, s2))),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 78.75/51.02 tff(12754,plain,
% 78.75/51.02 ($false),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12753, 348, 12750, 12749, 12740])).
% 78.75/51.02 tff(12755,plain,((~node21(c_e_h_2, c_k, s1, s2)) | node20(c_e_h_2, c_k, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.02 tff(12756,plain,
% 78.75/51.02 ((~node21(c_e_h_2, c_k, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12755, 12748])).
% 78.75/51.02 tff(12757,plain,
% 78.75/51.02 (~node21(c_e_h_2, c_k, s1, s2)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12756, 12740])).
% 78.75/51.02 tff(12758,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s1)), introduced(assumption)).
% 78.75/51.02 tff(12759,plain,
% 78.75/51.02 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s0)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s0)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12760,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s0)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12761,plain,
% 78.75/51.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s0)) | m_or_h_gate_v_out(c_e_h_2, c_g, s0)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 78.75/51.02 tff(12762,plain,
% 78.75/51.02 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s0)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12761, 2538, 9810])).
% 78.75/51.02 tff(12763,plain,
% 78.75/51.02 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s0))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12764,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s0))),
% 78.75/51.02 inference(quant_inst,[status(thm)],[])).
% 78.75/51.02 tff(12765,plain,
% 78.75/51.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s0)),
% 78.75/51.02 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 78.75/51.02 tff(12766,plain,
% 78.75/51.02 (~node20(c_e_h_2, c_k, s0)),
% 78.75/51.02 inference(unit_resolution,[status(thm)],[12765, 22, 12762])).
% 78.75/51.02 tff(12767,assumption,(node21(c_e_h_2, c_k, s0, s1)), introduced(assumption)).
% 78.75/51.02 tff(12768,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12769,plain,
% 78.75/51.02 ((node20(c_e_h_2, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node21(c_e_h_2, c_k, s0, s1))) <=> ((~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0))),
% 78.75/51.02 inference(rewrite,[status(thm)],[])).
% 78.75/51.02 tff(12770,plain,
% 78.75/51.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node21(c_e_h_2, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0)))),
% 78.75/51.03 inference(monotonicity,[status(thm)],[12769])).
% 78.75/51.03 tff(12771,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node21(c_e_h_2, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0))),
% 78.75/51.03 inference(transitivity,[status(thm)],[12770, 12768])).
% 78.75/51.03 tff(12772,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node21(c_e_h_2, c_k, s0, s1)))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12773,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | node20(c_e_h_2, c_k, s0)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 78.75/51.03 tff(12774,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12773, 348, 12767, 12766, 12758])).
% 78.75/51.03 tff(12775,plain,((~node21(c_e_h_2, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12776,plain,
% 78.75/51.03 (~node21(c_e_h_2, c_k, s0, s1)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12775, 12758])).
% 78.75/51.03 tff(12777,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_k, s0, s1) | node22(c_e_h_2, c_k, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_k, s0, s1) | node22(c_e_h_2, c_k, s0, s1))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12778,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_2, c_k, s0, s1) | node22(c_e_h_2, c_k, s0, s1))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12779,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_2, c_k, s0, s1) | node22(c_e_h_2, c_k, s0, s1)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12778, 12777])).
% 78.75/51.03 tff(12780,plain,
% 78.75/51.03 (node21(c_e_h_2, c_k, s0, s1) | node22(c_e_h_2, c_k, s0, s1)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12779, 383, 183])).
% 78.75/51.03 tff(12781,plain,
% 78.75/51.03 (node22(c_e_h_2, c_k, s0, s1)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12780, 12776])).
% 78.75/51.03 tff(12782,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node22(c_e_h_2, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node22(c_e_h_2, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12783,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node22(c_e_h_2, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12784,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s1)) | (~node22(c_e_h_2, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s0)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 78.75/51.03 tff(12785,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12784, 437, 12781, 12758, 6766])).
% 78.75/51.03 tff(12786,plain,(~m_and_h_gate_v_out(c_e_h_2, c_k, s1)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12787,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s1)), introduced(assumption)).
% 78.75/51.03 tff(12788,assumption,(node22(c_e_h_2, c_k, s1, s2)), introduced(assumption)).
% 78.75/51.03 tff(12789,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node22(c_e_h_2, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node22(c_e_h_2, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12790,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node22(c_e_h_2, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12791,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | (~node22(c_e_h_2, c_k, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12790, 12789])).
% 78.75/51.03 tff(12792,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12791, 437, 12788, 12740, 12787])).
% 78.75/51.03 tff(12793,plain,((~node22(c_e_h_2, c_k, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12794,plain,
% 78.75/51.03 ((~node22(c_e_h_2, c_k, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12793, 12786])).
% 78.75/51.03 tff(12795,plain,
% 78.75/51.03 (~node22(c_e_h_2, c_k, s1, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12794, 12740])).
% 78.75/51.03 tff(12796,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_k, s1, s2) | node22(c_e_h_2, c_k, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_k, s1, s2) | node22(c_e_h_2, c_k, s1, s2))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12797,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_k, s1, s2) | node22(c_e_h_2, c_k, s1, s2))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12798,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_k, s1, s2) | node22(c_e_h_2, c_k, s1, s2)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 78.75/51.03 tff(12799,plain,
% 78.75/51.03 (node21(c_e_h_2, c_k, s1, s2) | node22(c_e_h_2, c_k, s1, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12798, 383, 265])).
% 78.75/51.03 tff(12800,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12799, 12795, 12757])).
% 78.75/51.03 tff(12801,plain,(~m_and_h_gate_v_out(c_e_h_2, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12802,assumption,(~node20(c_e_h_2, c_k, s2)), introduced(assumption)).
% 78.75/51.03 tff(12803,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s3)), introduced(assumption)).
% 78.75/51.03 tff(12804,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s2)), introduced(assumption)).
% 78.75/51.03 tff(12805,assumption,(node22(c_e_h_2, c_k, s2, s3)), introduced(assumption)).
% 78.75/51.03 tff(12806,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node22(c_e_h_2, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node22(c_e_h_2, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12807,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node22(c_e_h_2, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12808,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node22(c_e_h_2, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12807, 12806])).
% 78.75/51.03 tff(12809,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12808, 437, 12805, 12803, 12804])).
% 78.75/51.03 tff(12810,plain,((~node22(c_e_h_2, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12811,plain,
% 78.75/51.03 (~node22(c_e_h_2, c_k, s2, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12810, 12803, 12804])).
% 78.75/51.03 tff(12812,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_k, s2, s3) | node22(c_e_h_2, c_k, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_k, s2, s3) | node22(c_e_h_2, c_k, s2, s3))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12813,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_k, s2, s3) | node22(c_e_h_2, c_k, s2, s3))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12814,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_k, s2, s3) | node22(c_e_h_2, c_k, s2, s3)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 78.75/51.03 tff(12815,plain,
% 78.75/51.03 (node21(c_e_h_2, c_k, s2, s3) | node22(c_e_h_2, c_k, s2, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12814, 383, 463])).
% 78.75/51.03 tff(12816,plain,
% 78.75/51.03 (node21(c_e_h_2, c_k, s2, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12815, 12811])).
% 78.75/51.03 tff(12817,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node21(c_e_h_2, c_k, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node21(c_e_h_2, c_k, s2, s3)))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12818,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node21(c_e_h_2, c_k, s2, s3)))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12819,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | (~node21(c_e_h_2, c_k, s2, s3))),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 78.75/51.03 tff(12820,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12819, 348, 12816, 12803, 12802])).
% 78.75/51.03 tff(12821,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | node20(c_e_h_2, c_k, s2) | m_and_h_gate_v_out(c_e_h_2, c_k, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12822,plain,
% 78.75/51.03 ((~m_and_h_gate_v_out(c_e_h_2, c_k, s3)) | node20(c_e_h_2, c_k, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12821, 12801])).
% 78.75/51.03 tff(12823,plain,
% 78.75/51.03 (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12822, 12739])).
% 78.75/51.03 tff(12824,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.03 tff(12825,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s3)), introduced(assumption)).
% 78.75/51.03 tff(12826,plain,
% 78.75/51.03 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12827,plain,
% 78.75/51.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12828,plain,
% 78.75/51.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 78.75/51.03 tff(12829,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12828, 1380, 12825, 12824])).
% 78.75/51.03 tff(12830,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12831,plain,
% 78.75/51.03 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12830, 12823])).
% 78.75/51.03 tff(12832,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.03 tff(12833,assumption,(node20(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.03 tff(12834,plain,
% 78.75/51.03 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s3))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12835,plain,
% 78.75/51.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s3))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12836,plain,
% 78.75/51.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s3)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 78.75/51.03 tff(12837,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12836, 22, 12833, 12832])).
% 78.75/51.03 tff(12838,plain,((~node20(c_e_h_2, c_p, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12839,plain,
% 78.75/51.03 (~node20(c_e_h_2, c_p, s3)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12838, 12831])).
% 78.75/51.03 tff(12840,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s2)), introduced(assumption)).
% 78.75/51.03 tff(12841,plain,
% 78.75/51.03 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12842,plain,
% 78.75/51.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12843,plain,
% 78.75/51.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s1)) | m_and_h_gate_v_out(c_e_h_2, c_k, s1)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 78.75/51.03 tff(12844,plain,
% 78.75/51.03 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s1)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12843, 1380, 12786])).
% 78.75/51.03 tff(12845,plain,
% 78.75/51.03 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s1))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12846,plain,
% 78.75/51.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s1))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12847,plain,
% 78.75/51.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s1)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 78.75/51.03 tff(12848,plain,
% 78.75/51.03 (~node20(c_e_h_2, c_p, s1)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12847, 22, 12844])).
% 78.75/51.03 tff(12849,assumption,(node21(c_e_h_2, c_p, s1, s2)), introduced(assumption)).
% 78.75/51.03 tff(12850,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node21(c_e_h_2, c_p, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node21(c_e_h_2, c_p, s1, s2)))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12851,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node21(c_e_h_2, c_p, s1, s2)))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12852,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node21(c_e_h_2, c_p, s1, s2))),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 78.75/51.03 tff(12853,plain,
% 78.75/51.03 ($false),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12852, 348, 12849, 12840, 12848])).
% 78.75/51.03 tff(12854,plain,((~node21(c_e_h_2, c_p, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.03 tff(12855,plain,
% 78.75/51.03 (~node21(c_e_h_2, c_p, s1, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12854, 12840])).
% 78.75/51.03 tff(12856,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_p, s1, s2) | node22(c_e_h_2, c_p, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_p, s1, s2) | node22(c_e_h_2, c_p, s1, s2))),
% 78.75/51.03 inference(rewrite,[status(thm)],[])).
% 78.75/51.03 tff(12857,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_p, s1, s2) | node22(c_e_h_2, c_p, s1, s2))),
% 78.75/51.03 inference(quant_inst,[status(thm)],[])).
% 78.75/51.03 tff(12858,plain,
% 78.75/51.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_p, s1, s2) | node22(c_e_h_2, c_p, s1, s2)),
% 78.75/51.03 inference(modus_ponens,[status(thm)],[12857, 12856])).
% 78.75/51.03 tff(12859,plain,
% 78.75/51.03 (node21(c_e_h_2, c_p, s1, s2) | node22(c_e_h_2, c_p, s1, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12858, 383, 265])).
% 78.75/51.03 tff(12860,plain,
% 78.75/51.03 (node22(c_e_h_2, c_p, s1, s2)),
% 78.75/51.03 inference(unit_resolution,[status(thm)],[12859, 12855])).
% 78.75/51.03 tff(12861,plain,
% 78.75/51.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node22(c_e_h_2, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node22(c_e_h_2, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12862,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node22(c_e_h_2, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12863,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | (~node22(c_e_h_2, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s1)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 78.75/51.04 tff(12864,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12863, 437, 12860, 12840, 6794])).
% 78.75/51.04 tff(12865,plain,(~m_and_h_gate_v_out(c_e_h_2, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12866,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.04 tff(12867,plain,
% 78.75/51.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12868,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12869,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s2)) | m_and_h_gate_v_out(c_e_h_2, c_k, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 78.75/51.04 tff(12870,plain,
% 78.75/51.04 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s2)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12869, 1380, 12801])).
% 78.75/51.04 tff(12871,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12872,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12873,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 78.75/51.04 tff(12874,plain,
% 78.75/51.04 (~node20(c_e_h_2, c_p, s2)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12873, 22, 12870])).
% 78.75/51.04 tff(12875,assumption,(node21(c_e_h_2, c_p, s2, s3)), introduced(assumption)).
% 78.75/51.04 tff(12876,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node21(c_e_h_2, c_p, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node21(c_e_h_2, c_p, s2, s3)))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12877,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node21(c_e_h_2, c_p, s2, s3)))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12878,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node21(c_e_h_2, c_p, s2, s3))),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 78.75/51.04 tff(12879,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12878, 348, 12875, 12866, 12874])).
% 78.75/51.04 tff(12880,plain,((~node21(c_e_h_2, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12881,plain,
% 78.75/51.04 (~node21(c_e_h_2, c_p, s2, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12880, 12866])).
% 78.75/51.04 tff(12882,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s2)), introduced(assumption)).
% 78.75/51.04 tff(12883,assumption,(node22(c_e_h_2, c_p, s2, s3)), introduced(assumption)).
% 78.75/51.04 tff(12884,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node22(c_e_h_2, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node22(c_e_h_2, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12885,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node22(c_e_h_2, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12886,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | (~node22(c_e_h_2, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 78.75/51.04 tff(12887,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12886, 437, 12883, 12866, 12882])).
% 78.75/51.04 tff(12888,plain,((~node22(c_e_h_2, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12889,plain,
% 78.75/51.04 (~node22(c_e_h_2, c_p, s2, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12888, 12866, 12882])).
% 78.75/51.04 tff(12890,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_p, s2, s3) | node22(c_e_h_2, c_p, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_p, s2, s3) | node22(c_e_h_2, c_p, s2, s3))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12891,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_p, s2, s3) | node22(c_e_h_2, c_p, s2, s3))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12892,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_p, s2, s3) | node22(c_e_h_2, c_p, s2, s3)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 78.75/51.04 tff(12893,plain,
% 78.75/51.04 (node21(c_e_h_2, c_p, s2, s3) | node22(c_e_h_2, c_p, s2, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12892, 383, 463])).
% 78.75/51.04 tff(12894,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12893, 12889, 12881])).
% 78.75/51.04 tff(12895,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12896,plain,
% 78.75/51.04 (~m_and_h_gate_v_out(c_e_h_2, c_p, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12895, 12865])).
% 78.75/51.04 tff(12897,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.04 tff(12898,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.75/51.04 tff(12899,assumption,(~node20(c_e_h_2, c_p, s3)), introduced(assumption)).
% 78.75/51.04 tff(12900,assumption,(node21(c_e_h_2, c_p, s3, s4)), introduced(assumption)).
% 78.75/51.04 tff(12901,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12902,plain,
% 78.75/51.04 ((node20(c_e_h_2, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node21(c_e_h_2, c_p, s3, s4))) <=> (node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12903,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node21(c_e_h_2, c_p, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4))))),
% 78.75/51.04 inference(monotonicity,[status(thm)],[12902])).
% 78.75/51.04 tff(12904,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node21(c_e_h_2, c_p, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)))),
% 78.75/51.04 inference(transitivity,[status(thm)],[12903, 12901])).
% 78.75/51.04 tff(12905,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node21(c_e_h_2, c_p, s3, s4)))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12906,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s3) | (~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4))),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 78.75/51.04 tff(12907,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12906, 348, 12900, 12898, 12899])).
% 78.75/51.04 tff(12908,plain,((~node21(c_e_h_2, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | node20(c_e_h_2, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12909,plain,
% 78.75/51.04 (~node21(c_e_h_2, c_p, s3, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12908, 12898, 12899])).
% 78.75/51.04 tff(12910,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_p, s3, s4) | node22(c_e_h_2, c_p, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_p, s3, s4) | node22(c_e_h_2, c_p, s3, s4))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12911,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_p, s3, s4) | node22(c_e_h_2, c_p, s3, s4))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12912,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_p, s3, s4) | node22(c_e_h_2, c_p, s3, s4)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 78.75/51.04 tff(12913,plain,
% 78.75/51.04 (node21(c_e_h_2, c_p, s3, s4) | node22(c_e_h_2, c_p, s3, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12912, 383, 711])).
% 78.75/51.04 tff(12914,plain,
% 78.75/51.04 (node22(c_e_h_2, c_p, s3, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12913, 12909])).
% 78.75/51.04 tff(12915,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node22(c_e_h_2, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node22(c_e_h_2, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12916,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node22(c_e_h_2, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12917,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | (~node22(c_e_h_2, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 78.75/51.04 tff(12918,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12917, 437, 12914, 12898, 12897])).
% 78.75/51.04 tff(12919,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3) | node20(c_e_h_2, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12920,plain,
% 78.75/51.04 ((~m_and_h_gate_v_out(c_e_h_2, c_p, s4)) | node20(c_e_h_2, c_p, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12919, 12896])).
% 78.75/51.04 tff(12921,plain,
% 78.75/51.04 (~m_and_h_gate_v_out(c_e_h_2, c_p, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12920, 12839])).
% 78.75/51.04 tff(12922,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.75/51.04 tff(12923,assumption,(m_cell_v_req(c_e_h_2, s4)), introduced(assumption)).
% 78.75/51.04 tff(12924,plain,
% 78.75/51.04 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12925,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12926,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 78.75/51.04 tff(12927,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12926, 1036, 12923, 12922])).
% 78.75/51.04 tff(12928,plain,((~m_cell_v_req(c_e_h_2, s4)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12929,plain,
% 78.75/51.04 (~m_cell_v_req(c_e_h_2, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12928, 12921])).
% 78.75/51.04 tff(12930,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s4))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12931,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s4))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12932,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s4)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 78.75/51.04 tff(12933,plain,
% 78.75/51.04 (node1(c_e_h_1, c_e_h_2, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12932, 2823, 1047])).
% 78.75/51.04 tff(12934,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12935,plain,
% 78.75/51.04 (((~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4))) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12936,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4)))),
% 78.75/51.04 inference(monotonicity,[status(thm)],[12935])).
% 78.75/51.04 tff(12937,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4))),
% 78.75/51.04 inference(transitivity,[status(thm)],[12936, 12934])).
% 78.75/51.04 tff(12938,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12939,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | (~node1(c_e_h_1, c_e_h_2, s4)) | m_cell_v_req(c_e_h_2, s4)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 78.75/51.04 tff(12940,plain,
% 78.75/51.04 ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)) | m_cell_v_req(c_e_h_2, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12939, 1064, 12933])).
% 78.75/51.04 tff(12941,plain,
% 78.75/51.04 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12940, 12929])).
% 78.75/51.04 tff(12942,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), introduced(assumption)).
% 78.75/51.04 tff(12943,assumption,(node13(c_e_h_1, c_b, s2, s3)), introduced(assumption)).
% 78.75/51.04 tff(12944,plain,
% 78.75/51.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node13(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node13(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12945,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node13(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12946,plain,
% 78.75/51.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node13(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 78.75/51.04 tff(12947,plain,
% 78.75/51.04 ($false),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12946, 1004, 12943, 12942, 6818])).
% 78.75/51.04 tff(12948,plain,((~node13(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.04 tff(12949,plain,
% 78.75/51.04 (~node13(c_e_h_1, c_b, s2, s3)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12948, 12942])).
% 78.75/51.04 tff(12950,plain,
% 78.75/51.04 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12951,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12952,plain,
% 78.75/51.04 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s2)) | m_and_h_gate_v_out(c_e_h_2, c_p, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 78.75/51.04 tff(12953,plain,
% 78.75/51.04 (~m_cell_v_req(c_e_h_2, s2)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12952, 1036, 12865])).
% 78.75/51.04 tff(12954,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12955,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s2))),
% 78.75/51.04 inference(quant_inst,[status(thm)],[])).
% 78.75/51.04 tff(12956,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s2)),
% 78.75/51.04 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 78.75/51.04 tff(12957,plain,
% 78.75/51.04 (node1(c_e_h_1, c_e_h_2, s2)),
% 78.75/51.04 inference(unit_resolution,[status(thm)],[12956, 2823, 1047])).
% 78.75/51.04 tff(12958,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12959,plain,
% 78.75/51.04 (((~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2))) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2))),
% 78.75/51.04 inference(rewrite,[status(thm)],[])).
% 78.75/51.04 tff(12960,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2)))),
% 78.75/51.04 inference(monotonicity,[status(thm)],[12959])).
% 78.75/51.04 tff(12961,plain,
% 78.75/51.04 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2))),
% 78.75/51.04 inference(transitivity,[status(thm)],[12960, 12958])).
% 78.75/51.04 tff(12962,plain,
% 78.75/51.04 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(12963,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | (~node1(c_e_h_1, c_e_h_2, s2)) | m_cell_v_req(c_e_h_2, s2)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 78.75/51.05 tff(12964,plain,
% 78.75/51.05 ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_cell_v_req(c_e_h_2, s2)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12963, 1064, 12957])).
% 78.75/51.05 tff(12965,plain,
% 78.75/51.05 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12964, 12953])).
% 78.75/51.05 tff(12966,assumption,(node12(c_e_h_1, c_b, s2, s3)), introduced(assumption)).
% 78.75/51.05 tff(12967,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)), introduced(assumption)).
% 78.75/51.05 tff(12968,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(12969,plain,
% 78.75/51.05 (((~node12(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(12970,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3))))),
% 78.75/51.05 inference(monotonicity,[status(thm)],[12969])).
% 78.75/51.05 tff(12971,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 78.75/51.05 inference(transitivity,[status(thm)],[12970, 12968])).
% 78.75/51.05 tff(12972,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(12973,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | (~node12(c_e_h_1, c_b, s2, s3))),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[12972, 12971])).
% 78.75/51.05 tff(12974,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12973, 1082, 12967, 12966, 12942])).
% 78.75/51.05 tff(12975,plain,((~node12(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(12976,plain,
% 78.75/51.05 ((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12975, 12965])).
% 78.75/51.05 tff(12977,plain,
% 78.75/51.05 (~node12(c_e_h_1, c_b, s2, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12976, 12942])).
% 78.75/51.05 tff(12978,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_1, c_b, s2, s3) | node13(c_e_h_1, c_b, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_1, c_b, s2, s3) | node13(c_e_h_1, c_b, s2, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(12979,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_1, c_b, s2, s3) | node13(c_e_h_1, c_b, s2, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(12980,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_1, c_b, s2, s3) | node13(c_e_h_1, c_b, s2, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 78.75/51.05 tff(12981,plain,
% 78.75/51.05 (node12(c_e_h_1, c_b, s2, s3) | node13(c_e_h_1, c_b, s2, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12980, 1020, 463])).
% 78.75/51.05 tff(12982,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12981, 12977, 12949])).
% 78.75/51.05 tff(12983,plain,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(12984,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.75/51.05 tff(12985,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), introduced(assumption)).
% 78.75/51.05 tff(12986,plain,
% 78.75/51.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(12987,plain,
% 78.75/51.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(12988,plain,
% 78.75/51.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 78.75/51.05 tff(12989,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12988, 966, 12985, 12984])).
% 78.75/51.05 tff(12990,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(12991,plain,
% 78.75/51.05 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12990, 12983])).
% 78.75/51.05 tff(12992,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.75/51.05 tff(12993,assumption,(node20(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.75/51.05 tff(12994,plain,
% 78.75/51.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(12995,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(12996,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 78.75/51.05 tff(12997,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12996, 22, 12993, 12992])).
% 78.75/51.05 tff(12998,plain,((~node20(c_e_h_1, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(12999,plain,
% 78.75/51.05 (~node20(c_e_h_1, c_d, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[12998, 12991])).
% 78.75/51.05 tff(13000,assumption,(~node20(c_e_h_1, c_d, s3)), introduced(assumption)).
% 78.75/51.05 tff(13001,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.05 tff(13002,assumption,(node22(c_e_h_1, c_d, s3, s4)), introduced(assumption)).
% 78.75/51.05 tff(13003,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node22(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node22(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13004,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node22(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13005,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node22(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 78.75/51.05 tff(13006,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13005, 437, 13001, 13002, 6856])).
% 78.75/51.05 tff(13007,plain,((~node22(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13008,plain,
% 78.75/51.05 (~node22(c_e_h_1, c_d, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13007, 13001, 6856])).
% 78.75/51.05 tff(13009,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_d, s3, s4) | node22(c_e_h_1, c_d, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_d, s3, s4) | node22(c_e_h_1, c_d, s3, s4))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13010,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_1, c_d, s3, s4) | node22(c_e_h_1, c_d, s3, s4))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13011,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_1, c_d, s3, s4) | node22(c_e_h_1, c_d, s3, s4)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13010, 13009])).
% 78.75/51.05 tff(13012,plain,
% 78.75/51.05 (node21(c_e_h_1, c_d, s3, s4) | node22(c_e_h_1, c_d, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13011, 383, 711])).
% 78.75/51.05 tff(13013,plain,
% 78.75/51.05 (node21(c_e_h_1, c_d, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13012, 13008])).
% 78.75/51.05 tff(13014,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13015,plain,
% 78.75/51.05 ((node20(c_e_h_1, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node21(c_e_h_1, c_d, s3, s4))) <=> (node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13016,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node21(c_e_h_1, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4))))),
% 78.75/51.05 inference(monotonicity,[status(thm)],[13015])).
% 78.75/51.05 tff(13017,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node21(c_e_h_1, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)))),
% 78.75/51.05 inference(transitivity,[status(thm)],[13016, 13014])).
% 78.75/51.05 tff(13018,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | (~node21(c_e_h_1, c_d, s3, s4)))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13019,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s3) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13018, 13017])).
% 78.75/51.05 tff(13020,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13019, 348, 13001, 13013, 13000])).
% 78.75/51.05 tff(13021,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | node20(c_e_h_1, c_d, s3) | m_and_h_gate_v_out(c_e_h_1, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13022,plain,
% 78.75/51.05 ((~m_and_h_gate_v_out(c_e_h_1, c_d, s4)) | node20(c_e_h_1, c_d, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13021, 6854])).
% 78.75/51.05 tff(13023,plain,
% 78.75/51.05 (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13022, 12999])).
% 78.75/51.05 tff(13024,assumption,(m_cell_v_req(c_e_h_2, s3)), introduced(assumption)).
% 78.75/51.05 tff(13025,plain,
% 78.75/51.05 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13026,plain,
% 78.75/51.05 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13027,plain,
% 78.75/51.05 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13026, 13025])).
% 78.75/51.05 tff(13028,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13027, 1036, 13024, 12897])).
% 78.75/51.05 tff(13029,plain,((~m_cell_v_req(c_e_h_2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13030,plain,
% 78.75/51.05 (~m_cell_v_req(c_e_h_2, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13029, 12896])).
% 78.75/51.05 tff(13031,plain,
% 78.75/51.05 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13032,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13033,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13032, 13031])).
% 78.75/51.05 tff(13034,plain,
% 78.75/51.05 (node1(c_e_h_1, c_e_h_2, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13033, 2823, 1047])).
% 78.75/51.05 tff(13035,plain,
% 78.75/51.05 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s3)) | m_cell_v_req(c_e_h_2, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_1, c_e_h_2, s3)) | m_cell_v_req(c_e_h_2, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13036,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s3)) | m_cell_v_req(c_e_h_2, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13037,plain,
% 78.75/51.05 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_1, c_e_h_2, s3)) | m_cell_v_req(c_e_h_2, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13036, 13035])).
% 78.75/51.05 tff(13038,plain,
% 78.75/51.05 (m_cell_v_req(c_e_h_2, s3) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13037, 1064, 13034])).
% 78.75/51.05 tff(13039,plain,
% 78.75/51.05 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13038, 13030])).
% 78.75/51.05 tff(13040,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s4)), introduced(assumption)).
% 78.75/51.05 tff(13041,assumption,(node13(c_e_h_1, c_b, s3, s4)), introduced(assumption)).
% 78.75/51.05 tff(13042,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node13(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node13(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13043,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node13(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13044,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node13(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 78.75/51.05 tff(13045,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13044, 1004, 13041, 12985, 13040])).
% 78.75/51.05 tff(13046,plain,((~node13(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13047,plain,
% 78.75/51.05 (~node13(c_e_h_1, c_b, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13046, 13040, 12985])).
% 78.75/51.05 tff(13048,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)), introduced(assumption)).
% 78.75/51.05 tff(13049,assumption,(node12(c_e_h_1, c_b, s3, s4)), introduced(assumption)).
% 78.75/51.05 tff(13050,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13051,plain,
% 78.75/51.05 (((~node12(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4)))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13052,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4))))),
% 78.75/51.05 inference(monotonicity,[status(thm)],[13051])).
% 78.75/51.05 tff(13053,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4)))),
% 78.75/51.05 inference(transitivity,[status(thm)],[13052, 13050])).
% 78.75/51.05 tff(13054,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13055,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~node12(c_e_h_1, c_b, s3, s4))),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 78.75/51.05 tff(13056,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13055, 1082, 13049, 13048, 13040])).
% 78.75/51.05 tff(13057,plain,((~node12(c_e_h_1, c_b, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13058,plain,
% 78.75/51.05 (~node12(c_e_h_1, c_b, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13057, 13040, 13048])).
% 78.75/51.05 tff(13059,plain,
% 78.75/51.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_1, c_b, s3, s4) | node13(c_e_h_1, c_b, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_1, c_b, s3, s4) | node13(c_e_h_1, c_b, s3, s4))),
% 78.75/51.05 inference(rewrite,[status(thm)],[])).
% 78.75/51.05 tff(13060,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_1, c_b, s3, s4) | node13(c_e_h_1, c_b, s3, s4))),
% 78.75/51.05 inference(quant_inst,[status(thm)],[])).
% 78.75/51.05 tff(13061,plain,
% 78.75/51.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_1, c_b, s3, s4) | node13(c_e_h_1, c_b, s3, s4)),
% 78.75/51.05 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 78.75/51.05 tff(13062,plain,
% 78.75/51.05 (node12(c_e_h_1, c_b, s3, s4) | node13(c_e_h_1, c_b, s3, s4)),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13061, 1020, 711])).
% 78.75/51.05 tff(13063,plain,
% 78.75/51.05 ($false),
% 78.75/51.05 inference(unit_resolution,[status(thm)],[13062, 13058, 13047])).
% 78.75/51.05 tff(13064,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s3) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.05 tff(13065,plain,
% 78.75/51.05 ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13064, 13039])).
% 78.75/51.06 tff(13066,plain,
% 78.75/51.06 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13065, 12983])).
% 78.75/51.06 tff(13067,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.75/51.06 tff(13068,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.06 tff(13069,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)), introduced(assumption)).
% 78.75/51.06 tff(13070,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.06 tff(13071,plain,
% 78.75/51.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13072,plain,
% 78.75/51.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13073,plain,
% 78.75/51.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 78.75/51.06 tff(13074,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13073, 966, 13069, 13070])).
% 78.75/51.06 tff(13075,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13076,plain,
% 78.75/51.06 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13075, 13069])).
% 78.75/51.06 tff(13077,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.06 tff(13078,assumption,(node20(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.06 tff(13079,plain,
% 78.75/51.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13080,plain,
% 78.75/51.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13081,plain,
% 78.75/51.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s4)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 78.75/51.06 tff(13082,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13081, 22, 13078, 13077])).
% 78.75/51.06 tff(13083,plain,((~node20(c_e_h_1, c_d, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13084,plain,
% 78.75/51.06 (~node20(c_e_h_1, c_d, s4)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13083, 13076])).
% 78.75/51.06 tff(13085,assumption,(~node20(c_e_h_1, c_d, s4)), introduced(assumption)).
% 78.75/51.06 tff(13086,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13087,assumption,(node21(c_e_h_1, c_d, s4, s5)), introduced(assumption)).
% 78.75/51.06 tff(13088,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13089,plain,
% 78.75/51.06 ((node20(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node21(c_e_h_1, c_d, s4, s5))) <=> ((~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13090,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node21(c_e_h_1, c_d, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4)))),
% 78.75/51.06 inference(monotonicity,[status(thm)],[13089])).
% 78.75/51.06 tff(13091,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node21(c_e_h_1, c_d, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(transitivity,[status(thm)],[13090, 13088])).
% 78.75/51.06 tff(13092,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node21(c_e_h_1, c_d, s4, s5)))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13093,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13092, 13091])).
% 78.75/51.06 tff(13094,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13093, 348, 13087, 13086, 13085])).
% 78.75/51.06 tff(13095,plain,((~node21(c_e_h_1, c_d, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | node20(c_e_h_1, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13096,plain,
% 78.75/51.06 (~node21(c_e_h_1, c_d, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13095, 13086, 13085])).
% 78.75/51.06 tff(13097,assumption,(node22(c_e_h_1, c_d, s4, s5)), introduced(assumption)).
% 78.75/51.06 tff(13098,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node22(c_e_h_1, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node22(c_e_h_1, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13099,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node22(c_e_h_1, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13100,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | (~node22(c_e_h_1, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13099, 13098])).
% 78.75/51.06 tff(13101,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13100, 437, 13097, 13068, 13086])).
% 78.75/51.06 tff(13102,plain,((~node22(c_e_h_1, c_d, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13103,plain,
% 78.75/51.06 (~node22(c_e_h_1, c_d, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13102, 13086, 13068])).
% 78.75/51.06 tff(13104,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_d, s4, s5) | node22(c_e_h_1, c_d, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_d, s4, s5) | node22(c_e_h_1, c_d, s4, s5))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13105,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_d, s4, s5) | node22(c_e_h_1, c_d, s4, s5))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13106,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_d, s4, s5) | node22(c_e_h_1, c_d, s4, s5)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13105, 13104])).
% 78.75/51.06 tff(13107,plain,
% 78.75/51.06 (node21(c_e_h_1, c_d, s4, s5) | node22(c_e_h_1, c_d, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13106, 383, 930])).
% 78.75/51.06 tff(13108,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13107, 13103, 13096])).
% 78.75/51.06 tff(13109,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | node20(c_e_h_1, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13110,plain,
% 78.75/51.06 (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13109, 13084, 13068])).
% 78.75/51.06 tff(13111,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)), introduced(assumption)).
% 78.75/51.06 tff(13112,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s5)), introduced(assumption)).
% 78.75/51.06 tff(13113,assumption,(node13(c_e_h_1, c_b, s4, s5)), introduced(assumption)).
% 78.75/51.06 tff(13114,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~node13(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~node13(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13115,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~node13(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13116,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~node13(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 78.75/51.06 tff(13117,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13116, 1004, 13113, 13069, 13112])).
% 78.75/51.06 tff(13118,plain,((~node13(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13119,plain,
% 78.75/51.06 (~node13(c_e_h_1, c_b, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13118, 13112, 13069])).
% 78.75/51.06 tff(13120,assumption,(node12(c_e_h_1, c_b, s4, s5)), introduced(assumption)).
% 78.75/51.06 tff(13121,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13122,plain,
% 78.75/51.06 (((~node12(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13123,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5))))),
% 78.75/51.06 inference(monotonicity,[status(thm)],[13122])).
% 78.75/51.06 tff(13124,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))),
% 78.75/51.06 inference(transitivity,[status(thm)],[13123, 13121])).
% 78.75/51.06 tff(13125,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13126,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~node12(c_e_h_1, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5))),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 78.75/51.06 tff(13127,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13126, 1082, 13111, 13120, 13112])).
% 78.75/51.06 tff(13128,plain,((~node12(c_e_h_1, c_b, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13129,plain,
% 78.75/51.06 (~node12(c_e_h_1, c_b, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13128, 13112, 13111])).
% 78.75/51.06 tff(13130,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_1, c_b, s4, s5) | node13(c_e_h_1, c_b, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_1, c_b, s4, s5) | node13(c_e_h_1, c_b, s4, s5))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13131,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_1, c_b, s4, s5) | node13(c_e_h_1, c_b, s4, s5))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13132,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_1, c_b, s4, s5) | node13(c_e_h_1, c_b, s4, s5)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13131, 13130])).
% 78.75/51.06 tff(13133,plain,
% 78.75/51.06 (node12(c_e_h_1, c_b, s4, s5) | node13(c_e_h_1, c_b, s4, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13132, 1020, 930])).
% 78.75/51.06 tff(13134,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13133, 13129, 13119])).
% 78.75/51.06 tff(13135,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13136,plain,
% 78.75/51.06 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13135, 13069, 13111])).
% 78.75/51.06 tff(13137,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13138,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)), introduced(assumption)).
% 78.75/51.06 tff(13139,plain,
% 78.75/51.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13140,plain,
% 78.75/51.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13141,plain,
% 78.75/51.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 78.75/51.06 tff(13142,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13141, 966, 13138, 13137])).
% 78.75/51.06 tff(13143,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13144,plain,
% 78.75/51.06 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13143, 13136])).
% 78.75/51.06 tff(13145,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13146,assumption,(node20(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13147,plain,
% 78.75/51.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s5))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13148,plain,
% 78.75/51.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s5))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13149,plain,
% 78.75/51.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s5)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13148, 13147])).
% 78.75/51.06 tff(13150,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13149, 22, 13146, 13145])).
% 78.75/51.06 tff(13151,plain,((~node20(c_e_h_1, c_d, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13152,plain,
% 78.75/51.06 (~node20(c_e_h_1, c_d, s5)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13151, 13144])).
% 78.75/51.06 tff(13153,assumption,(~node20(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13154,assumption,(node21(c_e_h_1, c_d, s5, s6)), introduced(assumption)).
% 78.75/51.06 tff(13155,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node21(c_e_h_1, c_d, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node21(c_e_h_1, c_d, s5, s6)))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13156,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node21(c_e_h_1, c_d, s5, s6)))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13157,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node21(c_e_h_1, c_d, s5, s6))),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 78.75/51.06 tff(13158,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13157, 348, 13154, 13067, 13153])).
% 78.75/51.06 tff(13159,plain,((~node21(c_e_h_1, c_d, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | node20(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13160,plain,
% 78.75/51.06 (~node21(c_e_h_1, c_d, s5, s6)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13159, 13067, 13153])).
% 78.75/51.06 tff(13161,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s5)), introduced(assumption)).
% 78.75/51.06 tff(13162,assumption,(node22(c_e_h_1, c_d, s5, s6)), introduced(assumption)).
% 78.75/51.06 tff(13163,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node22(c_e_h_1, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node22(c_e_h_1, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13164,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node22(c_e_h_1, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13165,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | (~node22(c_e_h_1, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13164, 13163])).
% 78.75/51.06 tff(13166,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13165, 437, 13161, 13162, 13067])).
% 78.75/51.06 tff(13167,plain,((~node22(c_e_h_1, c_d, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13168,plain,
% 78.75/51.06 (~node22(c_e_h_1, c_d, s5, s6)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13167, 13067, 13161])).
% 78.75/51.06 tff(13169,plain,
% 78.75/51.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_d, s5, s6) | node22(c_e_h_1, c_d, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_d, s5, s6) | node22(c_e_h_1, c_d, s5, s6))),
% 78.75/51.06 inference(rewrite,[status(thm)],[])).
% 78.75/51.06 tff(13170,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_d, s5, s6) | node22(c_e_h_1, c_d, s5, s6))),
% 78.75/51.06 inference(quant_inst,[status(thm)],[])).
% 78.75/51.06 tff(13171,plain,
% 78.75/51.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_d, s5, s6) | node22(c_e_h_1, c_d, s5, s6)),
% 78.75/51.06 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 78.75/51.06 tff(13172,plain,
% 78.75/51.06 (node21(c_e_h_1, c_d, s5, s6) | node22(c_e_h_1, c_d, s5, s6)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13171, 383, 1343])).
% 78.75/51.06 tff(13173,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13172, 13168, 13160])).
% 78.75/51.06 tff(13174,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5) | node20(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13175,plain,
% 78.75/51.06 ($false),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13174, 13152, 13110, 13067])).
% 78.75/51.06 tff(13176,plain,(m_mutex_h_half_v_out(c_e_h_1, c_b, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.06 tff(13177,plain,
% 78.75/51.06 ((~m_and_h_gate_v_out(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13176, 13066, 13023])).
% 78.75/51.06 tff(13178,plain,
% 78.75/51.06 (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[13177, 12941])).
% 78.75/51.06 tff(13179,plain,
% 78.75/51.06 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s1)),
% 78.75/51.06 inference(unit_resolution,[status(thm)],[12697, 12691])).
% 78.75/51.06 tff(13180,plain,
% 78.75/51.07 (~m_or_h_gate_v_out(c_e_h_2, c_g, s2)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12730, 13179])).
% 78.75/51.07 tff(13181,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s6)), introduced(assumption)).
% 78.75/51.07 tff(13182,plain,
% 78.75/51.07 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s2)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12734, 2538, 13180])).
% 78.75/51.07 tff(13183,plain,
% 78.75/51.07 (~node20(c_e_h_2, c_k, s2)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12738, 22, 13182])).
% 78.75/51.07 tff(13184,plain,
% 78.75/51.07 (~m_and_h_gate_v_out(c_e_h_2, c_k, s3)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12822, 13183])).
% 78.75/51.07 tff(13185,plain,
% 78.75/51.07 (~m_cell_v_req(c_e_h_2, s4)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12926, 1036, 12922])).
% 78.75/51.07 tff(13186,assumption,(~m_cell_v_req(c_e_h_2, s4)), introduced(assumption)).
% 78.75/51.07 tff(13187,plain,
% 78.75/51.07 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[12940, 13186])).
% 78.75/51.07 tff(13188,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.75/51.07 tff(13189,plain,
% 78.75/51.07 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13190,plain,
% 78.75/51.07 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13191,plain,
% 78.75/51.07 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 78.75/51.07 tff(13192,plain,
% 78.75/51.07 (~m_cell_v_req(c_e_h_2, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13191, 1036, 13188])).
% 78.75/51.07 tff(13193,plain,
% 78.75/51.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s5))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13194,plain,
% 78.75/51.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s5))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13195,plain,
% 78.75/51.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s5)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13194, 13193])).
% 78.75/51.07 tff(13196,plain,
% 78.75/51.07 (node1(c_e_h_1, c_e_h_2, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13195, 2823, 1047])).
% 78.75/51.07 tff(13197,plain,
% 78.75/51.07 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13198,plain,
% 78.75/51.07 (((~node1(c_e_h_1, c_e_h_2, s5)) | m_cell_v_req(c_e_h_2, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5))) <=> (m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13199,plain,
% 78.75/51.07 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s5)) | m_cell_v_req(c_e_h_2, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5))))),
% 78.75/51.07 inference(monotonicity,[status(thm)],[13198])).
% 78.75/51.07 tff(13200,plain,
% 78.75/51.07 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s5)) | m_cell_v_req(c_e_h_2, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))),
% 78.75/51.07 inference(transitivity,[status(thm)],[13199, 13197])).
% 78.75/51.07 tff(13201,plain,
% 78.75/51.07 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s5)) | m_cell_v_req(c_e_h_2, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13202,plain,
% 78.75/51.07 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s5) | (~node1(c_e_h_1, c_e_h_2, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5))),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 78.75/51.07 tff(13203,plain,
% 78.75/51.07 (m_cell_v_req(c_e_h_2, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5))),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13202, 1064, 13196])).
% 78.75/51.07 tff(13204,plain,
% 78.75/51.07 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13203, 13192])).
% 78.75/51.07 tff(13205,assumption,(node12(c_e_h_1, c_b, s5, s6)), introduced(assumption)).
% 78.75/51.07 tff(13206,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s5)), introduced(assumption)).
% 78.75/51.07 tff(13207,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13208,plain,
% 78.75/51.07 (((~node12(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13209,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6))))),
% 78.75/51.07 inference(monotonicity,[status(thm)],[13208])).
% 78.75/51.07 tff(13210,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6)))),
% 78.75/51.07 inference(transitivity,[status(thm)],[13209, 13207])).
% 78.75/51.07 tff(13211,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13212,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node12(c_e_h_1, c_b, s5, s6))),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13211, 13210])).
% 78.75/51.07 tff(13213,plain,
% 78.75/51.07 ($false),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13212, 1082, 13206, 13205, 13181])).
% 78.75/51.07 tff(13214,plain,((~node12(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.07 tff(13215,plain,
% 78.75/51.07 (~node12(c_e_h_1, c_b, s5, s6)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13214, 13204, 13181])).
% 78.75/51.07 tff(13216,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_1, c_b, s5, s6) | node13(c_e_h_1, c_b, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_1, c_b, s5, s6) | node13(c_e_h_1, c_b, s5, s6))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13217,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_1, c_b, s5, s6) | node13(c_e_h_1, c_b, s5, s6))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13218,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_1, c_b, s5, s6) | node13(c_e_h_1, c_b, s5, s6)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 78.75/51.07 tff(13219,plain,
% 78.75/51.07 (node12(c_e_h_1, c_b, s5, s6) | node13(c_e_h_1, c_b, s5, s6)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13218, 1020, 1343])).
% 78.75/51.07 tff(13220,plain,
% 78.75/51.07 (node13(c_e_h_1, c_b, s5, s6)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13219, 13215])).
% 78.75/51.07 tff(13221,assumption,(node13(c_e_h_1, c_b, s5, s6)), introduced(assumption)).
% 78.75/51.07 tff(13222,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node13(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node13(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13223,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node13(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13224,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | (~node13(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13223, 13222])).
% 78.75/51.07 tff(13225,plain,
% 78.75/51.07 ($false),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13224, 1004, 13221, 13138, 13181])).
% 78.75/51.07 tff(13226,plain,((~node13(c_e_h_1, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.07 tff(13227,plain,
% 78.75/51.07 (m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13226, 13220, 13181])).
% 78.75/51.07 tff(13228,plain,
% 78.75/51.07 (~node12(c_e_h_1, c_b, s4, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13128, 13227, 13187])).
% 78.75/51.07 tff(13229,plain,
% 78.75/51.07 (~node13(c_e_h_1, c_b, s4, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13118, 13227, 13069])).
% 78.75/51.07 tff(13230,plain,
% 78.75/51.07 ($false),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13133, 13229, 13228])).
% 78.75/51.07 tff(13231,plain,(m_cell_v_req(c_e_h_2, s4) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 78.75/51.07 tff(13232,plain,
% 78.75/51.07 (m_and_h_gate_v_out(c_e_h_2, c_p, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13231, 13185, 13181, 13069])).
% 78.75/51.07 tff(13233,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.75/51.07 tff(13234,assumption,(node22(c_e_h_2, c_p, s4, s5)), introduced(assumption)).
% 78.75/51.07 tff(13235,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node22(c_e_h_2, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node22(c_e_h_2, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13236,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node22(c_e_h_2, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13237,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node22(c_e_h_2, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 78.75/51.07 tff(13238,plain,
% 78.75/51.07 ($false),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13237, 437, 13234, 12922, 13233])).
% 78.75/51.07 tff(13239,plain,((~node22(c_e_h_2, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5))), inference(lemma,lemma(discharge,[]))).
% 78.75/51.07 tff(13240,plain,
% 78.75/51.07 (~node22(c_e_h_2, c_p, s4, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13239, 13232, 12922])).
% 78.75/51.07 tff(13241,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_p, s4, s5) | node22(c_e_h_2, c_p, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_p, s4, s5) | node22(c_e_h_2, c_p, s4, s5))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13242,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_p, s4, s5) | node22(c_e_h_2, c_p, s4, s5))),
% 78.75/51.07 inference(quant_inst,[status(thm)],[])).
% 78.75/51.07 tff(13243,plain,
% 78.75/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_p, s4, s5) | node22(c_e_h_2, c_p, s4, s5)),
% 78.75/51.07 inference(modus_ponens,[status(thm)],[13242, 13241])).
% 78.75/51.07 tff(13244,plain,
% 78.75/51.07 (node21(c_e_h_2, c_p, s4, s5) | node22(c_e_h_2, c_p, s4, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13243, 383, 930])).
% 78.75/51.07 tff(13245,plain,
% 78.75/51.07 (node21(c_e_h_2, c_p, s4, s5)),
% 78.75/51.07 inference(unit_resolution,[status(thm)],[13244, 13240])).
% 78.75/51.07 tff(13246,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13247,plain,
% 78.75/51.07 ((node20(c_e_h_2, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node21(c_e_h_2, c_p, s4, s5))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5)))),
% 78.75/51.07 inference(rewrite,[status(thm)],[])).
% 78.75/51.07 tff(13248,plain,
% 78.75/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node21(c_e_h_2, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5))))),
% 78.81/51.07 inference(monotonicity,[status(thm)],[13247])).
% 78.81/51.07 tff(13249,plain,
% 78.81/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node21(c_e_h_2, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5)))),
% 78.81/51.07 inference(transitivity,[status(thm)],[13248, 13246])).
% 78.81/51.07 tff(13250,plain,
% 78.81/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | (~node21(c_e_h_2, c_p, s4, s5)))),
% 78.81/51.07 inference(quant_inst,[status(thm)],[])).
% 78.81/51.07 tff(13251,plain,
% 78.81/51.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | (~node21(c_e_h_2, c_p, s4, s5))),
% 78.81/51.07 inference(modus_ponens,[status(thm)],[13250, 13249])).
% 78.81/51.07 tff(13252,plain,
% 78.81/51.07 (node20(c_e_h_2, c_p, s4)),
% 78.81/51.07 inference(unit_resolution,[status(thm)],[13251, 348, 13245, 13232])).
% 78.81/51.07 tff(13253,plain,
% 78.81/51.07 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s4))),
% 78.81/51.07 inference(rewrite,[status(thm)],[])).
% 78.81/51.07 tff(13254,plain,
% 78.81/51.07 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s4))),
% 78.81/51.07 inference(quant_inst,[status(thm)],[])).
% 78.81/51.07 tff(13255,plain,
% 78.81/51.07 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s4)),
% 78.81/51.07 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 78.81/51.07 tff(13256,plain,
% 78.81/51.07 (m_and_h_gate_v_in1(c_e_h_2, c_p, s4)),
% 78.81/51.07 inference(unit_resolution,[status(thm)],[13255, 22, 13252])).
% 78.81/51.07 tff(13257,plain,
% 78.81/51.07 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))),
% 78.81/51.07 inference(rewrite,[status(thm)],[])).
% 78.81/51.07 tff(13258,plain,
% 78.81/51.07 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))),
% 78.81/51.07 inference(quant_inst,[status(thm)],[])).
% 78.81/51.07 tff(13259,plain,
% 78.81/51.07 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4)),
% 78.81/51.07 inference(modus_ponens,[status(thm)],[13258, 13257])).
% 78.81/51.07 tff(13260,plain,
% 78.81/51.07 (m_and_h_gate_v_out(c_e_h_2, c_k, s4)),
% 78.81/51.07 inference(unit_resolution,[status(thm)],[13259, 1380, 13256])).
% 78.81/51.07 tff(13261,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s4)), introduced(assumption)).
% 78.81/51.07 tff(13262,assumption,(node22(c_e_h_2, c_k, s3, s4)), introduced(assumption)).
% 78.81/51.07 tff(13263,plain,
% 78.81/51.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node22(c_e_h_2, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node22(c_e_h_2, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13264,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node22(c_e_h_2, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13265,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node22(c_e_h_2, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 78.81/51.08 tff(13266,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13265, 437, 13262, 13261, 12825])).
% 78.81/51.08 tff(13267,plain,((~node22(c_e_h_2, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13268,plain,
% 78.81/51.08 (~node22(c_e_h_2, c_k, s3, s4)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13267, 13260, 12825])).
% 78.81/51.08 tff(13269,assumption,(~node20(c_e_h_2, c_k, s3)), introduced(assumption)).
% 78.81/51.08 tff(13270,assumption,(node21(c_e_h_2, c_k, s3, s4)), introduced(assumption)).
% 78.81/51.08 tff(13271,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node21(c_e_h_2, c_k, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node21(c_e_h_2, c_k, s3, s4)))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13272,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node21(c_e_h_2, c_k, s3, s4)))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13273,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | (~node21(c_e_h_2, c_k, s3, s4))),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 78.81/51.08 tff(13274,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13273, 348, 13270, 13261, 13269])).
% 78.81/51.08 tff(13275,plain,((~node21(c_e_h_2, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | node20(c_e_h_2, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13276,plain,
% 78.81/51.08 (~node21(c_e_h_2, c_k, s3, s4)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13275, 13260, 13269])).
% 78.81/51.08 tff(13277,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_k, s3, s4) | node22(c_e_h_2, c_k, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_k, s3, s4) | node22(c_e_h_2, c_k, s3, s4))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13278,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_k, s3, s4) | node22(c_e_h_2, c_k, s3, s4))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13279,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_k, s3, s4) | node22(c_e_h_2, c_k, s3, s4)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 78.81/51.08 tff(13280,plain,
% 78.81/51.08 (node21(c_e_h_2, c_k, s3, s4) | node22(c_e_h_2, c_k, s3, s4)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13279, 383, 711])).
% 78.81/51.08 tff(13281,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13280, 13276, 13268])).
% 78.81/51.08 tff(13282,plain,(m_and_h_gate_v_out(c_e_h_2, c_k, s3) | node20(c_e_h_2, c_k, s3) | m_and_h_gate_v_out(c_e_h_2, c_p, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13283,plain,
% 78.81/51.08 (node20(c_e_h_2, c_k, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13282, 13184, 13069, 12922, 13181])).
% 78.81/51.08 tff(13284,plain,
% 78.81/51.08 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s3))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13285,plain,
% 78.81/51.08 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s3))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13286,plain,
% 78.81/51.08 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s3)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 78.81/51.08 tff(13287,plain,
% 78.81/51.08 (m_and_h_gate_v_in1(c_e_h_2, c_k, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13286, 22, 13283])).
% 78.81/51.08 tff(13288,plain,
% 78.81/51.08 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13289,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13290,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13289, 13288])).
% 78.81/51.08 tff(13291,plain,
% 78.81/51.08 (m_or_h_gate_v_out(c_e_h_2, c_g, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13290, 2538, 13287])).
% 78.81/51.08 tff(13292,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s2)), introduced(assumption)).
% 78.81/51.08 tff(13293,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.08 tff(13294,assumption,(node6(c_e_h_2, c_g, s2, s3)), introduced(assumption)).
% 78.81/51.08 tff(13295,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3)))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13296,plain,
% 78.81/51.08 (((~node6(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2)) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3)))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13297,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3))))),
% 78.81/51.08 inference(monotonicity,[status(thm)],[13296])).
% 78.81/51.08 tff(13298,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3)))),
% 78.81/51.08 inference(transitivity,[status(thm)],[13297, 13295])).
% 78.81/51.08 tff(13299,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13300,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2) | (~node6(c_e_h_2, c_g, s2, s3))),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13299, 13298])).
% 78.81/51.08 tff(13301,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13300, 1851, 13293, 13294, 13292])).
% 78.81/51.08 tff(13302,plain,((~node6(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_out(c_e_h_2, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13303,plain,
% 78.81/51.08 (~node6(c_e_h_2, c_g, s2, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13302, 13293, 13292])).
% 78.81/51.08 tff(13304,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)), introduced(assumption)).
% 78.81/51.08 tff(13305,plain,
% 78.81/51.08 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13306,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13307,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13306, 13305])).
% 78.81/51.08 tff(13308,plain,
% 78.81/51.08 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13307, 2486, 11226])).
% 78.81/51.08 tff(13309,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_g, s2)), introduced(assumption)).
% 78.81/51.08 tff(13310,assumption,(node5(c_e_h_2, c_g, s2, s3)), introduced(assumption)).
% 78.81/51.08 tff(13311,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13312,plain,
% 78.81/51.08 ((m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | (~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13313,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | (~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2)))),
% 78.81/51.08 inference(monotonicity,[status(thm)],[13312])).
% 78.81/51.08 tff(13314,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | (~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2))),
% 78.81/51.08 inference(transitivity,[status(thm)],[13313, 13311])).
% 78.81/51.08 tff(13315,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | (~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13316,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | (~node5(c_e_h_2, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 78.81/51.08 tff(13317,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13316, 1888, 13293, 13310, 13304, 13309])).
% 78.81/51.08 tff(13318,plain,((~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | m_or_h_gate_v_in1(c_e_h_2, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13319,plain,
% 78.81/51.08 ((~node5(c_e_h_2, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13318, 13308])).
% 78.81/51.08 tff(13320,plain,
% 78.81/51.08 (~node5(c_e_h_2, c_g, s2, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13319, 13293, 13304])).
% 78.81/51.08 tff(13321,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13322,plain,
% 78.81/51.08 ((node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13323,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3)))),
% 78.81/51.08 inference(monotonicity,[status(thm)],[13322])).
% 78.81/51.08 tff(13324,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3))),
% 78.81/51.08 inference(transitivity,[status(thm)],[13323, 13321])).
% 78.81/51.08 tff(13325,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3) | (~trans(s2, s3)))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13326,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 78.81/51.08 tff(13327,plain,
% 78.81/51.08 (node6(c_e_h_2, c_g, s2, s3) | node5(c_e_h_2, c_g, s2, s3)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13326, 1870, 463])).
% 78.81/51.08 tff(13328,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13327, 13320, 13303])).
% 78.81/51.08 tff(13329,plain,((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2) | m_or_h_gate_v_out(c_e_h_2, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13330,plain,
% 78.81/51.08 (m_or_h_gate_v_in2(c_e_h_2, c_g, s2)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13329, 13291, 13180])).
% 78.81/51.08 tff(13331,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_d, s2)), introduced(assumption)).
% 78.81/51.08 tff(13332,assumption,(m_or_h_gate_v_in2(c_e_h_2, c_g, s2)), introduced(assumption)).
% 78.81/51.08 tff(13333,plain,
% 78.81/51.08 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13334,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13335,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 78.81/51.08 tff(13336,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13335, 2501, 13332, 13331])).
% 78.81/51.08 tff(13337,plain,((~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13338,plain,
% 78.81/51.08 (m_and_h_gate_v_out(c_e_h_2, c_d, s2)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13337, 13330])).
% 78.81/51.08 tff(13339,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_b, s1)), introduced(assumption)).
% 78.81/51.08 tff(13340,assumption,(node13(c_e_h_2, c_b, s0, s1)), introduced(assumption)).
% 78.81/51.08 tff(13341,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)) | (~node13(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)) | (~node13(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13342,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)) | (~node13(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13343,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)) | (~node13(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s0)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 78.81/51.08 tff(13344,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13343, 1004, 13340, 12664, 13339])).
% 78.81/51.08 tff(13345,plain,((~node13(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13346,plain,
% 78.81/51.08 (~node13(c_e_h_2, c_b, s0, s1)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13345, 13339])).
% 78.81/51.08 tff(13347,plain,
% 78.81/51.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_2, c_b, s0, s1) | node13(c_e_h_2, c_b, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_2, c_b, s0, s1) | node13(c_e_h_2, c_b, s0, s1))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13348,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_2, c_b, s0, s1) | node13(c_e_h_2, c_b, s0, s1))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13349,plain,
% 78.81/51.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_2, c_b, s0, s1) | node13(c_e_h_2, c_b, s0, s1)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 78.81/51.08 tff(13350,plain,
% 78.81/51.08 (node12(c_e_h_2, c_b, s0, s1) | node13(c_e_h_2, c_b, s0, s1)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13349, 1020, 183])).
% 78.81/51.08 tff(13351,plain,
% 78.81/51.08 (node12(c_e_h_2, c_b, s0, s1)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13350, 13346])).
% 78.81/51.08 tff(13352,assumption,(m_and_h_gate_v_out(c_e_h_3, c_p, s0)), introduced(assumption)).
% 78.81/51.08 tff(13353,plain,
% 78.81/51.08 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s0))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13354,plain,
% 78.81/51.08 ($false),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13353, 424, 13352])).
% 78.81/51.08 tff(13355,plain,(~m_and_h_gate_v_out(c_e_h_3, c_p, s0)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.08 tff(13356,plain,
% 78.81/51.08 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13357,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13358,plain,
% 78.81/51.08 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s0)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 78.81/51.08 tff(13359,plain,
% 78.81/51.08 (~m_cell_v_req(c_e_h_3, s0)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13358, 1036, 13355])).
% 78.81/51.08 tff(13360,plain,
% 78.81/51.08 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s0))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s0))),
% 78.81/51.08 inference(rewrite,[status(thm)],[])).
% 78.81/51.08 tff(13361,plain,
% 78.81/51.08 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s0))),
% 78.81/51.08 inference(quant_inst,[status(thm)],[])).
% 78.81/51.08 tff(13362,plain,
% 78.81/51.08 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s0)),
% 78.81/51.08 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 78.81/51.08 tff(13363,plain,
% 78.81/51.08 (node1(c_e_h_2, c_e_h_3, s0)),
% 78.81/51.08 inference(unit_resolution,[status(thm)],[13362, 1794, 1047])).
% 78.81/51.08 tff(13364,plain,
% 78.81/51.08 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13365,plain,
% 78.81/51.09 (((~node1(c_e_h_2, c_e_h_3, s0)) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0))) <=> (m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13366,plain,
% 78.81/51.09 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s0)) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0))))),
% 78.81/51.09 inference(monotonicity,[status(thm)],[13365])).
% 78.81/51.09 tff(13367,plain,
% 78.81/51.09 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s0)) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0)))),
% 78.81/51.09 inference(transitivity,[status(thm)],[13366, 13364])).
% 78.81/51.09 tff(13368,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s0)) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13369,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)) | (~node1(c_e_h_2, c_e_h_3, s0))),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13368, 13367])).
% 78.81/51.09 tff(13370,plain,
% 78.81/51.09 (m_cell_v_req(c_e_h_3, s0) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0))),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13369, 1064, 13363])).
% 78.81/51.09 tff(13371,plain,
% 78.81/51.09 (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s0)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13370, 13359])).
% 78.81/51.09 tff(13372,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13373,plain,
% 78.81/51.09 (((~node12(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13374,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1))))),
% 78.81/51.09 inference(monotonicity,[status(thm)],[13373])).
% 78.81/51.09 tff(13375,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))),
% 78.81/51.09 inference(transitivity,[status(thm)],[13374, 13372])).
% 78.81/51.09 tff(13376,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13377,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s0) | (~node12(c_e_h_2, c_b, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s1))),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13376, 13375])).
% 78.81/51.09 tff(13378,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13377, 1082, 13371, 13351, 13339])).
% 78.81/51.09 tff(13379,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_b, s1)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13380,plain,
% 78.81/51.09 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13381,plain,
% 78.81/51.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13382,plain,
% 78.81/51.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s1)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13381, 13380])).
% 78.81/51.09 tff(13383,plain,
% 78.81/51.09 (~m_and_h_gate_v_in1(c_e_h_2, c_d, s1)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13382, 966, 13379])).
% 78.81/51.09 tff(13384,plain,
% 78.81/51.09 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s1))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13385,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s1))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13386,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s1)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s1)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 78.81/51.09 tff(13387,plain,
% 78.81/51.09 (~node20(c_e_h_2, c_d, s1)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13386, 22, 13383])).
% 78.81/51.09 tff(13388,assumption,(node21(c_e_h_2, c_d, s1, s2)), introduced(assumption)).
% 78.81/51.09 tff(13389,assumption,(m_and_h_gate_v_out(c_e_h_2, c_d, s2)), introduced(assumption)).
% 78.81/51.09 tff(13390,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node21(c_e_h_2, c_d, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node21(c_e_h_2, c_d, s1, s2)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13391,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node21(c_e_h_2, c_d, s1, s2)))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13392,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s1) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node21(c_e_h_2, c_d, s1, s2))),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 78.81/51.09 tff(13393,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13392, 348, 13389, 13388, 13387])).
% 78.81/51.09 tff(13394,plain,((~node21(c_e_h_2, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13395,plain,
% 78.81/51.09 (~node21(c_e_h_2, c_d, s1, s2)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13394, 13338])).
% 78.81/51.09 tff(13396,assumption,(node22(c_e_h_2, c_d, s1, s2)), introduced(assumption)).
% 78.81/51.09 tff(13397,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node22(c_e_h_2, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node22(c_e_h_2, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13398,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node22(c_e_h_2, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13399,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | (~node22(c_e_h_2, c_d, s1, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13398, 13397])).
% 78.81/51.09 tff(13400,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13399, 437, 13389, 13396, 12691])).
% 78.81/51.09 tff(13401,plain,((~node22(c_e_h_2, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2)) | m_and_h_gate_v_out(c_e_h_2, c_d, s1)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13402,plain,
% 78.81/51.09 (~node22(c_e_h_2, c_d, s1, s2)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13401, 13338, 12691])).
% 78.81/51.09 tff(13403,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_d, s1, s2) | node22(c_e_h_2, c_d, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_d, s1, s2) | node22(c_e_h_2, c_d, s1, s2))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13404,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_2, c_d, s1, s2) | node22(c_e_h_2, c_d, s1, s2))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13405,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_2, c_d, s1, s2) | node22(c_e_h_2, c_d, s1, s2)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 78.81/51.09 tff(13406,plain,
% 78.81/51.09 (node21(c_e_h_2, c_d, s1, s2) | node22(c_e_h_2, c_d, s1, s2)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13405, 383, 265])).
% 78.81/51.09 tff(13407,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13406, 13402, 13395])).
% 78.81/51.09 tff(13408,plain,(m_and_h_gate_v_out(c_e_h_2, c_d, s1) | m_mutex_h_half_v_out(c_e_h_1, c_b, s4) | m_and_h_gate_v_out(c_e_h_2, c_p, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13409,plain,
% 78.81/51.09 (m_and_h_gate_v_out(c_e_h_2, c_d, s1) | m_and_h_gate_v_out(c_e_h_2, c_p, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6))),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13408, 13066])).
% 78.81/51.09 tff(13410,plain,
% 78.81/51.09 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13409, 12921, 12690])).
% 78.81/51.09 tff(13411,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.81/51.09 tff(13412,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s6)), introduced(assumption)).
% 78.81/51.09 tff(13413,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.81/51.09 tff(13414,plain,
% 78.81/51.09 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13415,plain,
% 78.81/51.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13416,plain,
% 78.81/51.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13415, 13414])).
% 78.81/51.09 tff(13417,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13416, 966, 13412, 13413])).
% 78.81/51.09 tff(13418,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13419,plain,
% 78.81/51.09 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13418, 13412])).
% 78.81/51.09 tff(13420,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.81/51.09 tff(13421,assumption,(node20(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.81/51.09 tff(13422,plain,
% 78.81/51.09 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s6))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13423,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s6))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13424,plain,
% 78.81/51.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s6)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 78.81/51.09 tff(13425,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13424, 22, 13421, 13420])).
% 78.81/51.09 tff(13426,plain,((~node20(c_e_h_1, c_d, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13427,plain,
% 78.81/51.09 (~node20(c_e_h_1, c_d, s6)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13426, 13419])).
% 78.81/51.09 tff(13428,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.09 tff(13429,assumption,(node22(c_e_h_1, c_d, s6, s7)), introduced(assumption)).
% 78.81/51.09 tff(13430,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node22(c_e_h_1, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node22(c_e_h_1, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13431,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node22(c_e_h_1, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13432,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node22(c_e_h_1, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 78.81/51.09 tff(13433,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13432, 437, 13411, 13429, 13428])).
% 78.81/51.09 tff(13434,plain,((~node22(c_e_h_1, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13435,plain,
% 78.81/51.09 (~node22(c_e_h_1, c_d, s6, s7)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13434, 13428, 13411])).
% 78.81/51.09 tff(13436,assumption,(~node20(c_e_h_1, c_d, s6)), introduced(assumption)).
% 78.81/51.09 tff(13437,assumption,(node21(c_e_h_1, c_d, s6, s7)), introduced(assumption)).
% 78.81/51.09 tff(13438,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node21(c_e_h_1, c_d, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node21(c_e_h_1, c_d, s6, s7)))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13439,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node21(c_e_h_1, c_d, s6, s7)))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13440,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | (~node21(c_e_h_1, c_d, s6, s7))),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 78.81/51.09 tff(13441,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13440, 348, 13437, 13428, 13436])).
% 78.81/51.09 tff(13442,plain,((~node21(c_e_h_1, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | node20(c_e_h_1, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13443,plain,
% 78.81/51.09 (~node21(c_e_h_1, c_d, s6, s7)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13442, 13428, 13436])).
% 78.81/51.09 tff(13444,plain,
% 78.81/51.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_d, s6, s7) | node22(c_e_h_1, c_d, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_d, s6, s7) | node22(c_e_h_1, c_d, s6, s7))),
% 78.81/51.09 inference(rewrite,[status(thm)],[])).
% 78.81/51.09 tff(13445,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_d, s6, s7) | node22(c_e_h_1, c_d, s6, s7))),
% 78.81/51.09 inference(quant_inst,[status(thm)],[])).
% 78.81/51.09 tff(13446,plain,
% 78.81/51.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_d, s6, s7) | node22(c_e_h_1, c_d, s6, s7)),
% 78.81/51.09 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 78.81/51.09 tff(13447,plain,
% 78.81/51.09 (node21(c_e_h_1, c_d, s6, s7) | node22(c_e_h_1, c_d, s6, s7)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13446, 383, 1685])).
% 78.81/51.09 tff(13448,plain,
% 78.81/51.09 ($false),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13447, 13443, 13435])).
% 78.81/51.09 tff(13449,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s7)) | node20(c_e_h_1, c_d, s6) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.09 tff(13450,plain,
% 78.81/51.09 (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 78.81/51.09 inference(unit_resolution,[status(thm)],[13449, 13427, 13411])).
% 78.81/51.10 tff(13451,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)), introduced(assumption)).
% 78.81/51.10 tff(13452,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s7)), introduced(assumption)).
% 78.81/51.10 tff(13453,assumption,(node12(c_e_h_1, c_b, s6, s7)), introduced(assumption)).
% 78.81/51.10 tff(13454,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13455,plain,
% 78.81/51.10 (((~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13456,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)))),
% 78.81/51.10 inference(monotonicity,[status(thm)],[13455])).
% 78.81/51.10 tff(13457,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(transitivity,[status(thm)],[13456, 13454])).
% 78.81/51.10 tff(13458,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13459,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 78.81/51.10 tff(13460,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13459, 1082, 13453, 13451, 13452])).
% 78.81/51.10 tff(13461,plain,((~node12(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13462,plain,
% 78.81/51.10 (~node12(c_e_h_1, c_b, s6, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13461, 13452, 13451])).
% 78.81/51.10 tff(13463,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_1, c_b, s6, s7) | node13(c_e_h_1, c_b, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_1, c_b, s6, s7) | node13(c_e_h_1, c_b, s6, s7))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13464,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_1, c_b, s6, s7) | node13(c_e_h_1, c_b, s6, s7))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13465,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_1, c_b, s6, s7) | node13(c_e_h_1, c_b, s6, s7)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13464, 13463])).
% 78.81/51.10 tff(13466,plain,
% 78.81/51.10 (node12(c_e_h_1, c_b, s6, s7) | node13(c_e_h_1, c_b, s6, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13465, 1020, 1685])).
% 78.81/51.10 tff(13467,plain,
% 78.81/51.10 (node13(c_e_h_1, c_b, s6, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13466, 13462])).
% 78.81/51.10 tff(13468,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node13(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node13(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13469,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node13(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13470,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~node13(c_e_h_1, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 78.81/51.10 tff(13471,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13470, 1004, 13467, 13412, 13452])).
% 78.81/51.10 tff(13472,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s6) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13473,plain,
% 78.81/51.10 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13472, 13412, 13451])).
% 78.81/51.10 tff(13474,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.10 tff(13475,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)), introduced(assumption)).
% 78.81/51.10 tff(13476,plain,
% 78.81/51.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13477,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13478,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 78.81/51.10 tff(13479,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13478, 966, 13475, 13474])).
% 78.81/51.10 tff(13480,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13481,plain,
% 78.81/51.10 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13480, 13473])).
% 78.81/51.10 tff(13482,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.10 tff(13483,assumption,(node20(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.10 tff(13484,plain,
% 78.81/51.10 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s7))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13485,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s7))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13486,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s7)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13485, 13484])).
% 78.81/51.10 tff(13487,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13486, 22, 13483, 13482])).
% 78.81/51.10 tff(13488,plain,(m_and_h_gate_v_in1(c_e_h_1, c_d, s7) | (~node20(c_e_h_1, c_d, s7))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13489,plain,
% 78.81/51.10 (~node20(c_e_h_1, c_d, s7)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13488, 13481])).
% 78.81/51.10 tff(13490,assumption,(~node20(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.10 tff(13491,assumption,(node21(c_e_h_1, c_d, s7, s8)), introduced(assumption)).
% 78.81/51.10 tff(13492,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node21(c_e_h_1, c_d, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node21(c_e_h_1, c_d, s7, s8)))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13493,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node21(c_e_h_1, c_d, s7, s8)))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13494,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node21(c_e_h_1, c_d, s7, s8))),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13493, 13492])).
% 78.81/51.10 tff(13495,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13494, 348, 12660, 13491, 13490])).
% 78.81/51.10 tff(13496,plain,((~node21(c_e_h_1, c_d, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | node20(c_e_h_1, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13497,plain,
% 78.81/51.10 (~node21(c_e_h_1, c_d, s7, s8)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13496, 12660, 13490])).
% 78.81/51.10 tff(13498,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_d, s7, s8) | node22(c_e_h_1, c_d, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_d, s7, s8) | node22(c_e_h_1, c_d, s7, s8))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13499,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_d, s7, s8) | node22(c_e_h_1, c_d, s7, s8))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13500,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_d, s7, s8) | node22(c_e_h_1, c_d, s7, s8)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 78.81/51.10 tff(13501,plain,
% 78.81/51.10 (node21(c_e_h_1, c_d, s7, s8) | node22(c_e_h_1, c_d, s7, s8)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13500, 383, 2456])).
% 78.81/51.10 tff(13502,plain,
% 78.81/51.10 (node22(c_e_h_1, c_d, s7, s8)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13501, 13497])).
% 78.81/51.10 tff(13503,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s7)), introduced(assumption)).
% 78.81/51.10 tff(13504,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node22(c_e_h_1, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node22(c_e_h_1, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13505,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node22(c_e_h_1, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13506,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | (~node22(c_e_h_1, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 78.81/51.10 tff(13507,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13506, 437, 12660, 13503, 13502])).
% 78.81/51.10 tff(13508,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7) | node20(c_e_h_1, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13509,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13508, 13489, 13450, 12660])).
% 78.81/51.10 tff(13510,plain,(m_mutex_h_half_v_out(c_e_h_1, c_b, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13511,plain,
% 78.81/51.10 ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13510, 13410, 13178])).
% 78.81/51.10 tff(13512,plain,
% 78.81/51.10 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13511, 12660])).
% 78.81/51.10 tff(13513,plain,
% 78.81/51.10 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s6))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13514,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s6))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13515,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s6)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 78.81/51.10 tff(13516,plain,
% 78.81/51.10 (node1(c_e_h_1, c_e_h_2, s6)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13515, 2823, 1047])).
% 78.81/51.10 tff(13517,plain,
% 78.81/51.10 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s6)) | m_cell_v_req(c_e_h_2, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_1, c_e_h_2, s6)) | m_cell_v_req(c_e_h_2, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13518,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s6)) | m_cell_v_req(c_e_h_2, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13519,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_1, c_e_h_2, s6)) | m_cell_v_req(c_e_h_2, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 78.81/51.10 tff(13520,plain,
% 78.81/51.10 (m_cell_v_req(c_e_h_2, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6))),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13519, 1064, 13516])).
% 78.81/51.10 tff(13521,plain,
% 78.81/51.10 (m_cell_v_req(c_e_h_2, s6)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13520, 13512])).
% 78.81/51.10 tff(13522,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s6)), introduced(assumption)).
% 78.81/51.10 tff(13523,assumption,(m_cell_v_req(c_e_h_2, s6)), introduced(assumption)).
% 78.81/51.10 tff(13524,plain,
% 78.81/51.10 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13525,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13526,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 78.81/51.10 tff(13527,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13526, 1036, 13523, 13522])).
% 78.81/51.10 tff(13528,plain,((~m_cell_v_req(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13529,plain,
% 78.81/51.10 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13528, 13521])).
% 78.81/51.10 tff(13530,plain,
% 78.81/51.10 (~node21(c_e_h_2, c_d, s1, s2)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13394, 13389])).
% 78.81/51.10 tff(13531,plain,
% 78.81/51.10 ((~node22(c_e_h_2, c_d, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s2))),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13401, 12690])).
% 78.81/51.10 tff(13532,plain,
% 78.81/51.10 (~node22(c_e_h_2, c_d, s1, s2)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13531, 13389])).
% 78.81/51.10 tff(13533,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13406, 13532, 13530])).
% 78.81/51.10 tff(13534,plain,(~m_and_h_gate_v_out(c_e_h_2, c_d, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13535,plain,
% 78.81/51.10 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s2)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13337, 13534])).
% 78.81/51.10 tff(13536,plain,
% 78.81/51.10 ((~m_or_h_gate_v_out(c_e_h_2, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s2)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13329, 12731])).
% 78.81/51.10 tff(13537,plain,
% 78.81/51.10 (~m_or_h_gate_v_out(c_e_h_2, c_g, s3)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13536, 13535])).
% 78.81/51.10 tff(13538,plain,
% 78.81/51.10 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s3)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13290, 2538, 13537])).
% 78.81/51.10 tff(13539,plain,
% 78.81/51.10 (~node20(c_e_h_2, c_k, s3)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13286, 22, 13538])).
% 78.81/51.10 tff(13540,plain,
% 78.81/51.10 (~node22(c_e_h_2, c_k, s3, s4)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13267, 13261, 12825])).
% 78.81/51.10 tff(13541,plain,
% 78.81/51.10 (~node21(c_e_h_2, c_k, s3, s4)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13275, 13261, 13269])).
% 78.81/51.10 tff(13542,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13280, 13541, 13540])).
% 78.81/51.10 tff(13543,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | node20(c_e_h_2, c_k, s3) | m_and_h_gate_v_out(c_e_h_2, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13544,plain,
% 78.81/51.10 ((~m_and_h_gate_v_out(c_e_h_2, c_k, s4)) | node20(c_e_h_2, c_k, s3)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13543, 12823])).
% 78.81/51.10 tff(13545,plain,
% 78.81/51.10 (~m_and_h_gate_v_out(c_e_h_2, c_k, s4)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13544, 13539])).
% 78.81/51.10 tff(13546,assumption,(m_and_h_gate_v_out(c_e_h_2, c_d, s3)), introduced(assumption)).
% 78.81/51.10 tff(13547,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_b, s2)), introduced(assumption)).
% 78.81/51.10 tff(13548,assumption,(node12(c_e_h_2, c_b, s1, s2)), introduced(assumption)).
% 78.81/51.10 tff(13549,assumption,(m_and_h_gate_v_out(c_e_h_3, c_p, s1)), introduced(assumption)).
% 78.81/51.10 tff(13550,assumption,(node22(c_e_h_3, c_p, s0, s1)), introduced(assumption)).
% 78.81/51.10 tff(13551,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node22(c_e_h_3, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node22(c_e_h_3, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13552,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node22(c_e_h_3, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13553,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node22(c_e_h_3, c_p, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s0)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 78.81/51.10 tff(13554,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13553, 437, 13550, 13355, 13549])).
% 78.81/51.10 tff(13555,plain,((~node22(c_e_h_3, c_p, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13556,plain,
% 78.81/51.10 (~node22(c_e_h_3, c_p, s0, s1)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13555, 13549])).
% 78.81/51.10 tff(13557,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_p, s0, s1) | node22(c_e_h_3, c_p, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_p, s0, s1) | node22(c_e_h_3, c_p, s0, s1))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13558,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_p, s0, s1) | node22(c_e_h_3, c_p, s0, s1))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13559,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_p, s0, s1) | node22(c_e_h_3, c_p, s0, s1)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 78.81/51.10 tff(13560,plain,
% 78.81/51.10 (node21(c_e_h_3, c_p, s0, s1) | node22(c_e_h_3, c_p, s0, s1)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13559, 383, 183])).
% 78.81/51.10 tff(13561,plain,
% 78.81/51.10 (node21(c_e_h_3, c_p, s0, s1)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13560, 13556])).
% 78.81/51.10 tff(13562,plain,
% 78.81/51.10 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)))),
% 78.81/51.10 inference(bind,[status(th)],[])).
% 78.81/51.10 tff(13563,plain,
% 78.81/51.10 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 78.81/51.10 inference(quant_intro,[status(thm)],[13562])).
% 78.81/51.10 tff(13564,plain,
% 78.81/51.10 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13565,axiom,(![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_66')).
% 78.81/51.10 tff(13566,plain,
% 78.81/51.10 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13565, 13564])).
% 78.81/51.10 tff(13567,plain,(
% 78.81/51.10 ![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 78.81/51.10 inference(skolemize,[status(sab)],[13566])).
% 78.81/51.10 tff(13568,plain,
% 78.81/51.10 (![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13567, 13563])).
% 78.81/51.10 tff(13569,plain,
% 78.81/51.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_p, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_p, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13570,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_p, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13571,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_p, s0)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s0)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 78.81/51.10 tff(13572,plain,
% 78.81/51.10 (~m_and_h_gate_v_in2(c_e_h_3, c_p, s0)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13571, 13568, 66])).
% 78.81/51.10 tff(13573,plain,
% 78.81/51.10 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_p, s0)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_p, s0)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s0))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13574,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_p, s0)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s0))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13575,plain,
% 78.81/51.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_p, s0)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s0)),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 78.81/51.10 tff(13576,plain,
% 78.81/51.10 (~node20(c_e_h_3, c_p, s0)),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13575, 334, 13572])).
% 78.81/51.10 tff(13577,plain,
% 78.81/51.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node21(c_e_h_3, c_p, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node21(c_e_h_3, c_p, s0, s1)))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13578,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node21(c_e_h_3, c_p, s0, s1)))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13579,plain,
% 78.81/51.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_p, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s1)) | (~node21(c_e_h_3, c_p, s0, s1))),
% 78.81/51.10 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 78.81/51.10 tff(13580,plain,
% 78.81/51.10 ($false),
% 78.81/51.10 inference(unit_resolution,[status(thm)],[13579, 348, 13576, 13561, 13549])).
% 78.81/51.10 tff(13581,plain,(~m_and_h_gate_v_out(c_e_h_3, c_p, s1)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.10 tff(13582,plain,
% 78.81/51.10 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))),
% 78.81/51.10 inference(rewrite,[status(thm)],[])).
% 78.81/51.10 tff(13583,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))),
% 78.81/51.10 inference(quant_inst,[status(thm)],[])).
% 78.81/51.10 tff(13584,plain,
% 78.81/51.10 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s1)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 78.81/51.11 tff(13585,plain,
% 78.81/51.11 (~m_cell_v_req(c_e_h_3, s1)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13584, 1036, 13581])).
% 78.81/51.11 tff(13586,plain,
% 78.81/51.11 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s1))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s1))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13587,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s1))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13588,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s1)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 78.81/51.11 tff(13589,plain,
% 78.81/51.11 (node1(c_e_h_2, c_e_h_3, s1)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13588, 1794, 1047])).
% 78.81/51.11 tff(13590,plain,
% 78.81/51.11 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s1)) | m_cell_v_req(c_e_h_3, s1) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_2, c_e_h_3, s1)) | m_cell_v_req(c_e_h_3, s1) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1)))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13591,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s1)) | m_cell_v_req(c_e_h_3, s1) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1)))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13592,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_2, c_e_h_3, s1)) | m_cell_v_req(c_e_h_3, s1) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1))),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 78.81/51.11 tff(13593,plain,
% 78.81/51.11 (m_cell_v_req(c_e_h_3, s1) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1))),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13592, 1064, 13589])).
% 78.81/51.11 tff(13594,plain,
% 78.81/51.11 (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s1)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13593, 13585])).
% 78.81/51.11 tff(13595,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2)))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13596,plain,
% 78.81/51.11 (((~node12(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2)))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13597,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2))))),
% 78.81/51.11 inference(monotonicity,[status(thm)],[13596])).
% 78.81/51.11 tff(13598,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2)))),
% 78.81/51.11 inference(transitivity,[status(thm)],[13597, 13595])).
% 78.81/51.11 tff(13599,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13600,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node12(c_e_h_2, c_b, s1, s2))),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 78.81/51.11 tff(13601,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13600, 1082, 13594, 13548, 13547])).
% 78.81/51.11 tff(13602,plain,((~node12(c_e_h_2, c_b, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13603,plain,
% 78.81/51.11 (~node12(c_e_h_2, c_b, s1, s2)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13602, 13547])).
% 78.81/51.11 tff(13604,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_2, c_b, s1, s2) | node13(c_e_h_2, c_b, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_2, c_b, s1, s2) | node13(c_e_h_2, c_b, s1, s2))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13605,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_2, c_b, s1, s2) | node13(c_e_h_2, c_b, s1, s2))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13606,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_2, c_b, s1, s2) | node13(c_e_h_2, c_b, s1, s2)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 78.81/51.11 tff(13607,plain,
% 78.81/51.11 (node12(c_e_h_2, c_b, s1, s2) | node13(c_e_h_2, c_b, s1, s2)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13606, 1020, 265])).
% 78.81/51.11 tff(13608,plain,
% 78.81/51.11 (node13(c_e_h_2, c_b, s1, s2)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13607, 13603])).
% 78.81/51.11 tff(13609,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node13(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node13(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13610,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node13(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13611,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)) | (~node13(c_e_h_2, c_b, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s1)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 78.81/51.11 tff(13612,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13611, 1004, 13608, 13379, 13547])).
% 78.81/51.11 tff(13613,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13614,plain,
% 78.81/51.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13615,plain,
% 78.81/51.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13616,plain,
% 78.81/51.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 78.81/51.11 tff(13617,plain,
% 78.81/51.11 (~m_and_h_gate_v_in1(c_e_h_2, c_d, s2)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13616, 966, 13613])).
% 78.81/51.11 tff(13618,plain,
% 78.81/51.11 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s2))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13619,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s2))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13620,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s2)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 78.81/51.11 tff(13621,plain,
% 78.81/51.11 (~node20(c_e_h_2, c_d, s2)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13620, 22, 13617])).
% 78.81/51.11 tff(13622,assumption,(node21(c_e_h_2, c_d, s2, s3)), introduced(assumption)).
% 78.81/51.11 tff(13623,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node21(c_e_h_2, c_d, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node21(c_e_h_2, c_d, s2, s3)))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13624,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node21(c_e_h_2, c_d, s2, s3)))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13625,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node21(c_e_h_2, c_d, s2, s3))),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13624, 13623])).
% 78.81/51.11 tff(13626,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13625, 348, 13546, 13622, 13621])).
% 78.81/51.11 tff(13627,plain,((~node21(c_e_h_2, c_d, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13628,plain,
% 78.81/51.11 (~node21(c_e_h_2, c_d, s2, s3)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13627, 13546])).
% 78.81/51.11 tff(13629,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_d, s2, s3) | node22(c_e_h_2, c_d, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_d, s2, s3) | node22(c_e_h_2, c_d, s2, s3))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13630,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_d, s2, s3) | node22(c_e_h_2, c_d, s2, s3))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13631,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_d, s2, s3) | node22(c_e_h_2, c_d, s2, s3)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 78.81/51.11 tff(13632,plain,
% 78.81/51.11 (node21(c_e_h_2, c_d, s2, s3) | node22(c_e_h_2, c_d, s2, s3)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13631, 383, 463])).
% 78.81/51.11 tff(13633,plain,
% 78.81/51.11 (node22(c_e_h_2, c_d, s2, s3)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13632, 13628])).
% 78.81/51.11 tff(13634,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node22(c_e_h_2, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node22(c_e_h_2, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13635,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node22(c_e_h_2, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13636,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s3)) | (~node22(c_e_h_2, c_d, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s2)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 78.81/51.11 tff(13637,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13636, 437, 13546, 13633, 13534])).
% 78.81/51.11 tff(13638,plain,(~m_and_h_gate_v_out(c_e_h_2, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13639,assumption,(m_or_h_gate_v_in2(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.11 tff(13640,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_d, s3)), introduced(assumption)).
% 78.81/51.11 tff(13641,plain,
% 78.81/51.11 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13642,plain,
% 78.81/51.11 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13643,plain,
% 78.81/51.11 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 78.81/51.11 tff(13644,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13643, 2501, 13640, 13639])).
% 78.81/51.11 tff(13645,plain,((~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13646,plain,
% 78.81/51.11 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13645, 13638])).
% 78.81/51.11 tff(13647,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.81/51.11 tff(13648,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s4)), introduced(assumption)).
% 78.81/51.11 tff(13649,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13259, 1380, 13648, 13647])).
% 78.81/51.11 tff(13650,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13651,plain,
% 78.81/51.11 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13650, 13545])).
% 78.81/51.11 tff(13652,assumption,(node20(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.81/51.11 tff(13653,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.81/51.11 tff(13654,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13255, 22, 13653, 13652])).
% 78.81/51.11 tff(13655,plain,((~node20(c_e_h_2, c_p, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13656,plain,
% 78.81/51.11 (~node20(c_e_h_2, c_p, s4)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13655, 13651])).
% 78.81/51.11 tff(13657,assumption,(~node20(c_e_h_2, c_p, s4)), introduced(assumption)).
% 78.81/51.11 tff(13658,plain,
% 78.81/51.11 (~node22(c_e_h_2, c_p, s4, s5)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13239, 13233, 12922])).
% 78.81/51.11 tff(13659,plain,
% 78.81/51.11 (node21(c_e_h_2, c_p, s4, s5)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13244, 13658])).
% 78.81/51.11 tff(13660,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13251, 348, 13659, 13233, 13657])).
% 78.81/51.11 tff(13661,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4) | m_and_h_gate_v_out(c_e_h_2, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13662,plain,
% 78.81/51.11 ((~m_and_h_gate_v_out(c_e_h_2, c_p, s5)) | node20(c_e_h_2, c_p, s4)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13661, 12921])).
% 78.81/51.11 tff(13663,plain,
% 78.81/51.11 (~m_and_h_gate_v_out(c_e_h_2, c_p, s5)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13662, 13656])).
% 78.81/51.11 tff(13664,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s6)), introduced(assumption)).
% 78.81/51.11 tff(13665,assumption,(node22(c_e_h_2, c_p, s5, s6)), introduced(assumption)).
% 78.81/51.11 tff(13666,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13667,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13668,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 78.81/51.11 tff(13669,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13668, 437, 13665, 13188, 13664])).
% 78.81/51.11 tff(13670,plain,((~node22(c_e_h_2, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13671,plain,
% 78.81/51.11 (~node22(c_e_h_2, c_p, s5, s6)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13670, 13664, 13188])).
% 78.81/51.11 tff(13672,assumption,(~node20(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.81/51.11 tff(13673,assumption,(node21(c_e_h_2, c_p, s5, s6)), introduced(assumption)).
% 78.81/51.11 tff(13674,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s5, s6)))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13675,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s5, s6)))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13676,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s5, s6))),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 78.81/51.11 tff(13677,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13676, 348, 13673, 13664, 13672])).
% 78.81/51.11 tff(13678,plain,((~node21(c_e_h_2, c_p, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | node20(c_e_h_2, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13679,plain,
% 78.81/51.11 (~node21(c_e_h_2, c_p, s5, s6)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13678, 13664, 13672])).
% 78.81/51.11 tff(13680,plain,
% 78.81/51.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_p, s5, s6) | node22(c_e_h_2, c_p, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_p, s5, s6) | node22(c_e_h_2, c_p, s5, s6))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13681,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_p, s5, s6) | node22(c_e_h_2, c_p, s5, s6))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13682,plain,
% 78.81/51.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_p, s5, s6) | node22(c_e_h_2, c_p, s5, s6)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 78.81/51.11 tff(13683,plain,
% 78.81/51.11 (node21(c_e_h_2, c_p, s5, s6) | node22(c_e_h_2, c_p, s5, s6)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13682, 383, 1343])).
% 78.81/51.11 tff(13684,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13683, 13679, 13671])).
% 78.81/51.11 tff(13685,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | node20(c_e_h_2, c_p, s5) | m_and_h_gate_v_out(c_e_h_2, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13686,plain,
% 78.81/51.11 (node20(c_e_h_2, c_p, s5)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13685, 13664, 13663])).
% 78.81/51.11 tff(13687,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.81/51.11 tff(13688,assumption,(node20(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.81/51.11 tff(13689,plain,
% 78.81/51.11 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s5))),
% 78.81/51.11 inference(rewrite,[status(thm)],[])).
% 78.81/51.11 tff(13690,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s5))),
% 78.81/51.11 inference(quant_inst,[status(thm)],[])).
% 78.81/51.11 tff(13691,plain,
% 78.81/51.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 78.81/51.11 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 78.81/51.11 tff(13692,plain,
% 78.81/51.11 ($false),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13691, 22, 13688, 13687])).
% 78.81/51.11 tff(13693,plain,((~node20(c_e_h_2, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.11 tff(13694,plain,
% 78.81/51.11 (m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 78.81/51.11 inference(unit_resolution,[status(thm)],[13693, 13686])).
% 78.81/51.11 tff(13695,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_p, s5)), introduced(assumption)).
% 78.81/51.11 tff(13696,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s5)), introduced(assumption)).
% 78.81/51.11 tff(13697,plain,
% 78.81/51.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13698,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13699,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 78.81/51.12 tff(13700,plain,
% 78.81/51.12 ($false),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13699, 1380, 13696, 13695])).
% 78.81/51.12 tff(13701,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.12 tff(13702,plain,
% 78.81/51.12 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13701, 13694])).
% 78.81/51.12 tff(13703,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s6)), introduced(assumption)).
% 78.81/51.12 tff(13704,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s5)), introduced(assumption)).
% 78.81/51.12 tff(13705,assumption,(node22(c_e_h_2, c_k, s5, s6)), introduced(assumption)).
% 78.81/51.12 tff(13706,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6)))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13707,plain,
% 78.81/51.12 ((m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~node22(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5))) <=> (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6)))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13708,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~node22(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6))))),
% 78.81/51.12 inference(monotonicity,[status(thm)],[13707])).
% 78.81/51.12 tff(13709,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~node22(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6)))),
% 78.81/51.12 inference(transitivity,[status(thm)],[13708, 13706])).
% 78.81/51.12 tff(13710,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~node22(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13711,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s5, s6))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 78.81/51.12 tff(13712,plain,
% 78.81/51.12 ($false),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13711, 6905, 13705, 13704, 13703])).
% 78.81/51.12 tff(13713,plain,((~node22(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.12 tff(13714,plain,
% 78.81/51.12 (~node22(c_e_h_2, c_k, s5, s6)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13713, 13704, 13703])).
% 78.81/51.12 tff(13715,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_k, s5, s6) | node22(c_e_h_2, c_k, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_k, s5, s6) | node22(c_e_h_2, c_k, s5, s6))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13716,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_k, s5, s6) | node22(c_e_h_2, c_k, s5, s6))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13717,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_k, s5, s6) | node22(c_e_h_2, c_k, s5, s6)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13716, 13715])).
% 78.81/51.12 tff(13718,plain,
% 78.81/51.12 (node21(c_e_h_2, c_k, s5, s6) | node22(c_e_h_2, c_k, s5, s6)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13717, 383, 1343])).
% 78.81/51.12 tff(13719,plain,
% 78.81/51.12 (node21(c_e_h_2, c_k, s5, s6)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13718, 13714])).
% 78.81/51.12 tff(13720,plain,
% 78.81/51.12 (^[I0: $i, X: $i] : refl((m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X)) <=> (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X)))),
% 78.81/51.12 inference(bind,[status(th)],[])).
% 78.81/51.12 tff(13721,plain,
% 78.81/51.12 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))),
% 78.81/51.12 inference(quant_intro,[status(thm)],[13720])).
% 78.81/51.12 tff(13722,plain,
% 78.81/51.12 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13723,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_45')).
% 78.81/51.12 tff(13724,plain,
% 78.81/51.12 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 78.81/51.12 tff(13725,plain,(
% 78.81/51.12 ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))),
% 78.81/51.12 inference(skolemize,[status(sab)],[13724])).
% 78.81/51.12 tff(13726,plain,
% 78.81/51.12 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13725, 13721])).
% 78.81/51.12 tff(13727,plain,
% 78.81/51.12 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_2, c_k, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_2, c_k, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13728,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_2, c_k, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13729,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_2, c_k, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 78.81/51.12 tff(13730,plain,
% 78.81/51.12 (m_and_h_gate_v_in2(c_e_h_2, c_k, s5) | m_c_h_element_v_out(c_e_h_2, c_h, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13729, 13726])).
% 78.81/51.12 tff(13731,plain,
% 78.81/51.12 (m_and_h_gate_v_in2(c_e_h_2, c_k, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13730, 10318])).
% 78.81/51.12 tff(13732,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_k, s5)), introduced(assumption)).
% 78.81/51.12 tff(13733,assumption,(node21(c_e_h_2, c_k, s5, s6)), introduced(assumption)).
% 78.81/51.12 tff(13734,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_k, s5)), introduced(assumption)).
% 78.81/51.12 tff(13735,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13736,plain,
% 78.81/51.12 (((~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)) <=> ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13737,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)))),
% 78.81/51.12 inference(monotonicity,[status(thm)],[13736])).
% 78.81/51.12 tff(13738,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 78.81/51.12 inference(transitivity,[status(thm)],[13737, 13735])).
% 78.81/51.12 tff(13739,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13740,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13739, 13738])).
% 78.81/51.12 tff(13741,plain,
% 78.81/51.12 ($false),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13740, 7190, 13734, 13733, 13703, 13732])).
% 78.81/51.12 tff(13742,plain,((~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.12 tff(13743,plain,
% 78.81/51.12 ((~node21(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5))),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13742, 13731])).
% 78.81/51.12 tff(13744,plain,
% 78.81/51.12 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13743, 13719, 13703])).
% 78.81/51.12 tff(13745,plain,
% 78.81/51.12 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X)) <=> ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X)))),
% 78.81/51.12 inference(bind,[status(th)],[])).
% 78.81/51.12 tff(13746,plain,
% 78.81/51.12 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(quant_intro,[status(thm)],[13745])).
% 78.81/51.12 tff(13747,plain,
% 78.81/51.12 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13748,plain,
% 78.81/51.12 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_k, X) | (~m_or_h_gate_v_out(I0, c_g, X))) <=> ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X)))),
% 78.81/51.12 inference(bind,[status(th)],[])).
% 78.81/51.12 tff(13749,plain,
% 78.81/51.12 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_k, X) | (~m_or_h_gate_v_out(I0, c_g, X))) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(quant_intro,[status(thm)],[13748])).
% 78.81/51.12 tff(13750,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_k, X) | (~m_or_h_gate_v_out(I0, c_g, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_43')).
% 78.81/51.12 tff(13751,plain,
% 78.81/51.12 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 78.81/51.12 tff(13752,plain,
% 78.81/51.12 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13751, 13747])).
% 78.81/51.12 tff(13753,plain,(
% 78.81/51.12 ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(skolemize,[status(sab)],[13752])).
% 78.81/51.12 tff(13754,plain,
% 78.81/51.12 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13753, 13746])).
% 78.81/51.12 tff(13755,plain,
% 78.81/51.12 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13756,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13757,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 78.81/51.12 tff(13758,plain,
% 78.81/51.12 (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13757, 13754, 13744])).
% 78.81/51.12 tff(13759,assumption,(node22(c_e_h_2, c_k, s4, s5)), introduced(assumption)).
% 78.81/51.12 tff(13760,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13761,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13762,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node22(c_e_h_2, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 78.81/51.12 tff(13763,plain,
% 78.81/51.12 ($false),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13762, 437, 13759, 13648, 13704])).
% 78.81/51.12 tff(13764,plain,((~node22(c_e_h_2, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.12 tff(13765,plain,
% 78.81/51.12 (~node22(c_e_h_2, c_k, s4, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13764, 13704, 13648])).
% 78.81/51.12 tff(13766,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_k, s4, s5) | node22(c_e_h_2, c_k, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_k, s4, s5) | node22(c_e_h_2, c_k, s4, s5))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13767,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_k, s4, s5) | node22(c_e_h_2, c_k, s4, s5))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13768,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_k, s4, s5) | node22(c_e_h_2, c_k, s4, s5)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 78.81/51.12 tff(13769,plain,
% 78.81/51.12 (node21(c_e_h_2, c_k, s4, s5) | node22(c_e_h_2, c_k, s4, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13768, 383, 930])).
% 78.81/51.12 tff(13770,plain,
% 78.81/51.12 (node21(c_e_h_2, c_k, s4, s5)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13769, 13765])).
% 78.81/51.12 tff(13771,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s4, s5)))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13772,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s4, s5)))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13773,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | (~node21(c_e_h_2, c_k, s4, s5))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13772, 13771])).
% 78.81/51.12 tff(13774,plain,
% 78.81/51.12 (node20(c_e_h_2, c_k, s4)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13773, 348, 13770, 13704])).
% 78.81/51.12 tff(13775,plain,
% 78.81/51.12 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s4))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13776,plain,
% 78.81/51.12 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s4))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13777,plain,
% 78.81/51.12 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13776, 13775])).
% 78.81/51.12 tff(13778,plain,
% 78.81/51.12 (m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13777, 22, 13774])).
% 78.81/51.12 tff(13779,plain,
% 78.81/51.12 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13780,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13781,plain,
% 78.81/51.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 78.81/51.12 tff(13782,plain,
% 78.81/51.12 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13781, 2538, 13778])).
% 78.81/51.12 tff(13783,assumption,(~node4(c_e_h_2, c_g, s4)), introduced(assumption)).
% 78.81/51.12 tff(13784,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s5)), introduced(assumption)).
% 78.81/51.12 tff(13785,assumption,(node5(c_e_h_2, c_g, s4, s5)), introduced(assumption)).
% 78.81/51.12 tff(13786,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13787,plain,
% 78.81/51.12 ((node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5)) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.12 inference(rewrite,[status(thm)],[])).
% 78.81/51.12 tff(13788,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5))))),
% 78.81/51.12 inference(monotonicity,[status(thm)],[13787])).
% 78.81/51.12 tff(13789,plain,
% 78.81/51.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.12 inference(transitivity,[status(thm)],[13788, 13786])).
% 78.81/51.12 tff(13790,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))),
% 78.81/51.12 inference(quant_inst,[status(thm)],[])).
% 78.81/51.12 tff(13791,plain,
% 78.81/51.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5))),
% 78.81/51.12 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 78.81/51.12 tff(13792,plain,
% 78.81/51.12 ($false),
% 78.81/51.12 inference(unit_resolution,[status(thm)],[13791, 6671, 13785, 13784, 13783])).
% 78.81/51.12 tff(13793,plain,((~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | node4(c_e_h_2, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13794,plain,
% 78.81/51.13 (~node5(c_e_h_2, c_g, s4, s5)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13793, 13784, 13783])).
% 78.81/51.13 tff(13795,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s4)), introduced(assumption)).
% 78.81/51.13 tff(13796,assumption,(node6(c_e_h_2, c_g, s4, s5)), introduced(assumption)).
% 78.81/51.13 tff(13797,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13798,plain,
% 78.81/51.13 ((m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4))) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13799,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5))))),
% 78.81/51.13 inference(monotonicity,[status(thm)],[13798])).
% 78.81/51.13 tff(13800,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.13 inference(transitivity,[status(thm)],[13799, 13797])).
% 78.81/51.13 tff(13801,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13802,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s4, s5))),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13801, 13800])).
% 78.81/51.13 tff(13803,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13802, 6691, 13795, 13796, 13784])).
% 78.81/51.13 tff(13804,plain,((~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13805,plain,
% 78.81/51.13 (~node6(c_e_h_2, c_g, s4, s5)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13804, 13784, 13795])).
% 78.81/51.13 tff(13806,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13807,plain,
% 78.81/51.13 ((node6(c_e_h_2, c_g, s4, s5) | node5(c_e_h_2, c_g, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13808,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s4, s5) | node5(c_e_h_2, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5)))),
% 78.81/51.13 inference(monotonicity,[status(thm)],[13807])).
% 78.81/51.13 tff(13809,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s4, s5) | node5(c_e_h_2, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5))),
% 78.81/51.13 inference(transitivity,[status(thm)],[13808, 13806])).
% 78.81/51.13 tff(13810,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s4, s5) | node5(c_e_h_2, c_g, s4, s5) | (~trans(s4, s5)))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13811,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5)),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 78.81/51.13 tff(13812,plain,
% 78.81/51.13 (node5(c_e_h_2, c_g, s4, s5) | node6(c_e_h_2, c_g, s4, s5)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13811, 1870, 930])).
% 78.81/51.13 tff(13813,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13812, 13805, 13794])).
% 78.81/51.13 tff(13814,plain,(m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | node4(c_e_h_2, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13815,plain,
% 78.81/51.13 (node4(c_e_h_2, c_g, s4)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13814, 13782, 13758])).
% 78.81/51.13 tff(13816,plain,
% 78.81/51.13 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | (~node4(c_e_h_2, c_g, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | (~node4(c_e_h_2, c_g, s4)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13817,plain,
% 78.81/51.13 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | (~node4(c_e_h_2, c_g, s4)))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13818,plain,
% 78.81/51.13 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | (~node4(c_e_h_2, c_g, s4))),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 78.81/51.13 tff(13819,plain,
% 78.81/51.13 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13818, 6717, 13815])).
% 78.81/51.13 tff(13820,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.13 tff(13821,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.13 tff(13822,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.13 tff(13823,assumption,(node6(c_e_h_2, c_g, s3, s4)), introduced(assumption)).
% 78.81/51.13 tff(13824,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13825,plain,
% 78.81/51.13 (((~node6(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3)) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13826,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4))))),
% 78.81/51.13 inference(monotonicity,[status(thm)],[13825])).
% 78.81/51.13 tff(13827,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4)))),
% 78.81/51.13 inference(transitivity,[status(thm)],[13826, 13824])).
% 78.81/51.13 tff(13828,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13829,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node6(c_e_h_2, c_g, s3, s4))),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 78.81/51.13 tff(13830,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13829, 1851, 13823, 13820, 13795])).
% 78.81/51.13 tff(13831,plain,((~node6(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_2, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13832,plain,
% 78.81/51.13 (~node6(c_e_h_2, c_g, s3, s4)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13831, 13795, 13820])).
% 78.81/51.13 tff(13833,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13834,plain,
% 78.81/51.13 ((node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13835,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4)))),
% 78.81/51.13 inference(monotonicity,[status(thm)],[13834])).
% 78.81/51.13 tff(13836,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4))),
% 78.81/51.13 inference(transitivity,[status(thm)],[13835, 13833])).
% 78.81/51.13 tff(13837,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4) | (~trans(s3, s4)))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13838,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4)),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 78.81/51.13 tff(13839,plain,
% 78.81/51.13 (node6(c_e_h_2, c_g, s3, s4) | node5(c_e_h_2, c_g, s3, s4)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13838, 1870, 711])).
% 78.81/51.13 tff(13840,plain,
% 78.81/51.13 (node5(c_e_h_2, c_g, s3, s4)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13839, 13832])).
% 78.81/51.13 tff(13841,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13842,plain,
% 78.81/51.13 ((m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | (~node5(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13843,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | (~node5(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3)))),
% 78.81/51.13 inference(monotonicity,[status(thm)],[13842])).
% 78.81/51.13 tff(13844,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | (~node5(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3))),
% 78.81/51.13 inference(transitivity,[status(thm)],[13843, 13841])).
% 78.81/51.13 tff(13845,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | (~node5(c_e_h_2, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13846,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | (~node5(c_e_h_2, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3)),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 78.81/51.13 tff(13847,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13846, 1888, 13840, 13795, 13822, 13821])).
% 78.81/51.13 tff(13848,plain,((~m_or_h_gate_v_out(c_e_h_2, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s3) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | m_or_h_gate_v_out(c_e_h_2, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13849,plain,
% 78.81/51.13 (m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13848, 13782, 13821, 13820])).
% 78.81/51.13 tff(13850,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_g, s3)), introduced(assumption)).
% 78.81/51.13 tff(13851,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_c, s3)), introduced(assumption)).
% 78.81/51.13 tff(13852,plain,
% 78.81/51.13 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13853,plain,
% 78.81/51.13 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13854,plain,
% 78.81/51.13 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 78.81/51.13 tff(13855,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13854, 2486, 13851, 13850])).
% 78.81/51.13 tff(13856,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13857,plain,
% 78.81/51.13 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13856, 13849])).
% 78.81/51.13 tff(13858,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s3)), introduced(assumption)).
% 78.81/51.13 tff(13859,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.81/51.13 tff(13860,assumption,(node22(c_e_h_2, c_c, s2, s3)), introduced(assumption)).
% 78.81/51.13 tff(13861,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13862,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2))),
% 78.81/51.13 inference(quant_inst,[status(thm)],[])).
% 78.81/51.13 tff(13863,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2)),
% 78.81/51.13 inference(modus_ponens,[status(thm)],[13862, 13861])).
% 78.81/51.13 tff(13864,plain,
% 78.81/51.13 ($false),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13863, 437, 13858, 13860, 13859])).
% 78.81/51.13 tff(13865,plain,((~node22(c_e_h_2, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.13 tff(13866,plain,
% 78.81/51.13 ((~node22(c_e_h_2, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3))),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13865, 11226])).
% 78.81/51.13 tff(13867,plain,
% 78.81/51.13 (~node22(c_e_h_2, c_c, s2, s3)),
% 78.81/51.13 inference(unit_resolution,[status(thm)],[13866, 13858])).
% 78.81/51.13 tff(13868,assumption,(~node20(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.81/51.13 tff(13869,assumption,(node21(c_e_h_2, c_c, s2, s3)), introduced(assumption)).
% 78.81/51.13 tff(13870,plain,
% 78.81/51.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s2, s3)))),
% 78.81/51.13 inference(rewrite,[status(thm)],[])).
% 78.81/51.13 tff(13871,plain,
% 78.81/51.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s2, s3)))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13872,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s2, s3))),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 78.81/51.14 tff(13873,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13872, 348, 13858, 13869, 13868])).
% 78.81/51.14 tff(13874,plain,((~node21(c_e_h_2, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | node20(c_e_h_2, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13875,plain,
% 78.81/51.14 (~node21(c_e_h_2, c_c, s2, s3)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13874, 13858, 13868])).
% 78.81/51.14 tff(13876,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_c, s2, s3) | node22(c_e_h_2, c_c, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_c, s2, s3) | node22(c_e_h_2, c_c, s2, s3))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13877,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_c, s2, s3) | node22(c_e_h_2, c_c, s2, s3))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13878,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_c, s2, s3) | node22(c_e_h_2, c_c, s2, s3)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 78.81/51.14 tff(13879,plain,
% 78.81/51.14 (node21(c_e_h_2, c_c, s2, s3) | node22(c_e_h_2, c_c, s2, s3)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13878, 383, 463])).
% 78.81/51.14 tff(13880,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13879, 13875, 13867])).
% 78.81/51.14 tff(13881,plain,((~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | node20(c_e_h_2, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13882,plain,
% 78.81/51.14 (node20(c_e_h_2, c_c, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13881, 13858])).
% 78.81/51.14 tff(13883,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_c, s4)), introduced(assumption)).
% 78.81/51.14 tff(13884,assumption,(node22(c_e_h_2, c_c, s3, s4)), introduced(assumption)).
% 78.81/51.14 tff(13885,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13886,plain,
% 78.81/51.14 ((m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~node22(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3))) <=> (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13887,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~node22(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4))))),
% 78.81/51.14 inference(monotonicity,[status(thm)],[13886])).
% 78.81/51.14 tff(13888,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~node22(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.14 inference(transitivity,[status(thm)],[13887, 13885])).
% 78.81/51.14 tff(13889,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~node22(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13890,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | (~node22(c_e_h_2, c_c, s3, s4))),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 78.81/51.14 tff(13891,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13890, 6905, 13858, 13884, 13883])).
% 78.81/51.14 tff(13892,plain,((~node22(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13893,plain,
% 78.81/51.14 (~node22(c_e_h_2, c_c, s3, s4)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13892, 13858, 13883])).
% 78.81/51.14 tff(13894,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_c, s3, s4) | node22(c_e_h_2, c_c, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_c, s3, s4) | node22(c_e_h_2, c_c, s3, s4))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13895,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_c, s3, s4) | node22(c_e_h_2, c_c, s3, s4))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13896,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_c, s3, s4) | node22(c_e_h_2, c_c, s3, s4)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 78.81/51.14 tff(13897,plain,
% 78.81/51.14 (node21(c_e_h_2, c_c, s3, s4) | node22(c_e_h_2, c_c, s3, s4)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13896, 383, 711])).
% 78.81/51.14 tff(13898,plain,
% 78.81/51.14 (node21(c_e_h_2, c_c, s3, s4)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13897, 13893])).
% 78.81/51.14 tff(13899,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.81/51.14 tff(13900,assumption,(node20(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.81/51.14 tff(13901,plain,
% 78.81/51.14 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13902,plain,
% 78.81/51.14 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13903,plain,
% 78.81/51.14 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13902, 13901])).
% 78.81/51.14 tff(13904,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13903, 22, 13900, 13899])).
% 78.81/51.14 tff(13905,plain,((~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13906,plain,
% 78.81/51.14 (m_and_h_gate_v_in1(c_e_h_2, c_c, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13905, 13882])).
% 78.81/51.14 tff(13907,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_c, s2)), introduced(assumption)).
% 78.81/51.14 tff(13908,assumption,(~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)), introduced(assumption)).
% 78.81/51.14 tff(13909,plain,
% 78.81/51.14 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13910,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13911,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13910, 13909])).
% 78.81/51.14 tff(13912,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13911, 2644, 13908, 13907])).
% 78.81/51.14 tff(13913,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13914,plain,
% 78.81/51.14 (m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13913, 13906])).
% 78.81/51.14 tff(13915,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_a, s2)), introduced(assumption)).
% 78.81/51.14 tff(13916,assumption,(node13(c_e_h_2, c_a, s1, s2)), introduced(assumption)).
% 78.81/51.14 tff(13917,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node13(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node13(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13918,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node13(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13919,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node13(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s1)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 78.81/51.14 tff(13920,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13919, 1004, 13916, 11203, 13915])).
% 78.81/51.14 tff(13921,plain,((~node13(c_e_h_2, c_a, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13922,plain,
% 78.81/51.14 (~node13(c_e_h_2, c_a, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13921, 13915])).
% 78.81/51.14 tff(13923,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_2, c_a, s1, s2) | node13(c_e_h_2, c_a, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_2, c_a, s1, s2) | node13(c_e_h_2, c_a, s1, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13924,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_2, c_a, s1, s2) | node13(c_e_h_2, c_a, s1, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13925,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_2, c_a, s1, s2) | node13(c_e_h_2, c_a, s1, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 78.81/51.14 tff(13926,plain,
% 78.81/51.14 (node12(c_e_h_2, c_a, s1, s2) | node13(c_e_h_2, c_a, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13925, 1020, 265])).
% 78.81/51.14 tff(13927,plain,
% 78.81/51.14 (node12(c_e_h_2, c_a, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13926, 13922])).
% 78.81/51.14 tff(13928,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13929,plain,
% 78.81/51.14 (((~node12(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13930,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2))))),
% 78.81/51.14 inference(monotonicity,[status(thm)],[13929])).
% 78.81/51.14 tff(13931,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2)))),
% 78.81/51.14 inference(transitivity,[status(thm)],[13930, 13928])).
% 78.81/51.14 tff(13932,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13933,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)) | (~node12(c_e_h_2, c_a, s1, s2))),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13932, 13931])).
% 78.81/51.14 tff(13934,plain,
% 78.81/51.14 (m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13933, 1082, 13927, 13915])).
% 78.81/51.14 tff(13935,plain,
% 78.81/51.14 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)) | m_user_v_req(c_e_h_2, c_u, s1))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)) | m_user_v_req(c_e_h_2, c_u, s1))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13936,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)) | m_user_v_req(c_e_h_2, c_u, s1))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13937,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)) | m_user_v_req(c_e_h_2, c_u, s1)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 78.81/51.14 tff(13938,plain,
% 78.81/51.14 (m_user_v_req(c_e_h_2, c_u, s1)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13937, 2765, 13934])).
% 78.81/51.14 tff(13939,assumption,(m_user_v_req(c_e_h_2, c_u, s1)), introduced(assumption)).
% 78.81/51.14 tff(13940,assumption,(~m_user_v_req(c_e_h_2, c_u, s2)), introduced(assumption)).
% 78.81/51.14 tff(13941,assumption,(node7(c_e_h_2, c_u, s1, s2)), introduced(assumption)).
% 78.81/51.14 tff(13942,plain,
% 78.81/51.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13943,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13944,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s1)) | m_and_h_gate_v_out(c_e_h_2, c_r, s1)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 78.81/51.14 tff(13945,plain,
% 78.81/51.14 (~m_user_v_ack(c_e_h_2, c_u, s1)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13944, 7367, 12093])).
% 78.81/51.14 tff(13946,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_2, c_u, s1, s2)) | m_user_v_ack(c_e_h_2, c_u, s1) | m_user_v_req(c_e_h_2, c_u, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_2, c_u, s1, s2)) | m_user_v_ack(c_e_h_2, c_u, s1) | m_user_v_req(c_e_h_2, c_u, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13947,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_2, c_u, s1, s2)) | m_user_v_ack(c_e_h_2, c_u, s1) | m_user_v_req(c_e_h_2, c_u, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13948,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_2, c_u, s1, s2)) | m_user_v_ack(c_e_h_2, c_u, s1) | m_user_v_req(c_e_h_2, c_u, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13947, 13946])).
% 78.81/51.14 tff(13949,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13948, 7383, 13945, 13941, 13940])).
% 78.81/51.14 tff(13950,plain,((~node7(c_e_h_2, c_u, s1, s2)) | m_user_v_req(c_e_h_2, c_u, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13951,plain,
% 78.81/51.14 (~node7(c_e_h_2, c_u, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13950, 13940])).
% 78.81/51.14 tff(13952,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_2, c_u, s1, s2) | node8(c_e_h_2, c_u, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_2, c_u, s1, s2) | node8(c_e_h_2, c_u, s1, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13953,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_2, c_u, s1, s2) | node8(c_e_h_2, c_u, s1, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13954,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_2, c_u, s1, s2) | node8(c_e_h_2, c_u, s1, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13953, 13952])).
% 78.81/51.14 tff(13955,plain,
% 78.81/51.14 (node7(c_e_h_2, c_u, s1, s2) | node8(c_e_h_2, c_u, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13954, 7421, 265])).
% 78.81/51.14 tff(13956,plain,
% 78.81/51.14 (node8(c_e_h_2, c_u, s1, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13955, 13951])).
% 78.81/51.14 tff(13957,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s2) | (~node8(c_e_h_2, c_u, s1, s2)) | (~m_user_v_req(c_e_h_2, c_u, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_2, c_u, s2) | (~node8(c_e_h_2, c_u, s1, s2)) | (~m_user_v_req(c_e_h_2, c_u, s1)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13958,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s2) | (~node8(c_e_h_2, c_u, s1, s2)) | (~m_user_v_req(c_e_h_2, c_u, s1)))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13959,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_2, c_u, s2) | (~node8(c_e_h_2, c_u, s1, s2)) | (~m_user_v_req(c_e_h_2, c_u, s1))),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13958, 13957])).
% 78.81/51.14 tff(13960,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13959, 7402, 13956, 13940, 13939])).
% 78.81/51.14 tff(13961,plain,(m_user_v_req(c_e_h_2, c_u, s2) | (~m_user_v_req(c_e_h_2, c_u, s1))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13962,plain,
% 78.81/51.14 (m_user_v_req(c_e_h_2, c_u, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13961, 13938])).
% 78.81/51.14 tff(13963,assumption,(m_user_v_req(c_e_h_2, c_u, s2)), introduced(assumption)).
% 78.81/51.14 tff(13964,assumption,(~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)), introduced(assumption)).
% 78.81/51.14 tff(13965,plain,
% 78.81/51.14 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_2, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_2, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13966,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_2, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13967,plain,
% 78.81/51.14 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_2, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)),
% 78.81/51.14 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 78.81/51.14 tff(13968,plain,
% 78.81/51.14 ($false),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13967, 7318, 13964, 13963])).
% 78.81/51.14 tff(13969,plain,((~m_user_v_req(c_e_h_2, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.14 tff(13970,plain,
% 78.81/51.14 (m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)),
% 78.81/51.14 inference(unit_resolution,[status(thm)],[13969, 13962])).
% 78.81/51.14 tff(13971,assumption,(~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)), introduced(assumption)).
% 78.81/51.14 tff(13972,assumption,(node13(c_e_h_2, c_a, s2, s3)), introduced(assumption)).
% 78.81/51.14 tff(13973,plain,
% 78.81/51.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node13(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node13(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))),
% 78.81/51.14 inference(rewrite,[status(thm)],[])).
% 78.81/51.14 tff(13974,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node13(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)))),
% 78.81/51.14 inference(quant_inst,[status(thm)],[])).
% 78.81/51.14 tff(13975,plain,
% 78.81/51.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node13(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 78.81/51.15 tff(13976,plain,
% 78.81/51.15 ($false),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13975, 7277, 13972, 13971, 13915])).
% 78.81/51.15 tff(13977,plain,((~node13(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.15 tff(13978,plain,
% 78.81/51.15 (~node13(c_e_h_2, c_a, s2, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13977, 13971, 13915])).
% 78.81/51.15 tff(13979,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_2, c_a, s2, s3) | node13(c_e_h_2, c_a, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_2, c_a, s2, s3) | node13(c_e_h_2, c_a, s2, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(13980,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_2, c_a, s2, s3) | node13(c_e_h_2, c_a, s2, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(13981,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_2, c_a, s2, s3) | node13(c_e_h_2, c_a, s2, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 78.81/51.15 tff(13982,plain,
% 78.81/51.15 (node12(c_e_h_2, c_a, s2, s3) | node13(c_e_h_2, c_a, s2, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13981, 1020, 463])).
% 78.81/51.15 tff(13983,plain,
% 78.81/51.15 (node12(c_e_h_2, c_a, s2, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13982, 13978])).
% 78.81/51.15 tff(13984,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(13985,plain,
% 78.81/51.15 (((~node12(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) <=> ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(13986,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3))))),
% 78.81/51.15 inference(monotonicity,[status(thm)],[13985])).
% 78.81/51.15 tff(13987,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 78.81/51.15 inference(transitivity,[status(thm)],[13986, 13984])).
% 78.81/51.15 tff(13988,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(13989,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~node12(c_e_h_2, c_a, s2, s3))),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 78.81/51.15 tff(13990,plain,
% 78.81/51.15 ($false),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13989, 7301, 13983, 13971, 13970])).
% 78.81/51.15 tff(13991,plain,(m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.15 tff(13992,plain,
% 78.81/51.15 (m_mutex_h_half_v_out(c_e_h_2, c_a, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13991, 13914])).
% 78.81/51.15 tff(13993,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)), introduced(assumption)).
% 78.81/51.15 tff(13994,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_a, s3)), introduced(assumption)).
% 78.81/51.15 tff(13995,plain,
% 78.81/51.15 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(13996,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(13997,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 78.81/51.15 tff(13998,plain,
% 78.81/51.15 ($false),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13997, 7440, 13994, 13993])).
% 78.81/51.15 tff(13999,plain,(m_and_h_gate_v_in1(c_e_h_2, c_c, s3) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.15 tff(14000,plain,
% 78.81/51.15 (m_and_h_gate_v_in1(c_e_h_2, c_c, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[13999, 13992])).
% 78.81/51.15 tff(14001,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_c, s3)), introduced(assumption)).
% 78.81/51.15 tff(14002,assumption,(node21(c_e_h_2, c_c, s3, s4)), introduced(assumption)).
% 78.81/51.15 tff(14003,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_c, s3)), introduced(assumption)).
% 78.81/51.15 tff(14004,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14005,plain,
% 78.81/51.15 (((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4)) <=> ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14006,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4))))),
% 78.81/51.15 inference(monotonicity,[status(thm)],[14005])).
% 78.81/51.15 tff(14007,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4)))),
% 78.81/51.15 inference(transitivity,[status(thm)],[14006, 14004])).
% 78.81/51.15 tff(14008,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14009,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | (~node21(c_e_h_2, c_c, s3, s4))),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 78.81/51.15 tff(14010,plain,
% 78.81/51.15 ($false),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14009, 7190, 14003, 14002, 13883, 14001])).
% 78.81/51.15 tff(14011,plain,((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.15 tff(14012,plain,
% 78.81/51.15 (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14011, 14000, 13883, 13898])).
% 78.81/51.15 tff(14013,plain,
% 78.81/51.15 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14014,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14015,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 78.81/51.15 tff(14016,plain,
% 78.81/51.15 (node2(c_e_h_2, c_e_h_3, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14015, 1794, 7161])).
% 78.81/51.15 tff(14017,plain,
% 78.81/51.15 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_2, c_e_h_3, s3)) | m_cell_v_ack(c_e_h_3, s3) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_2, c_e_h_3, s3)) | m_cell_v_ack(c_e_h_3, s3) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14018,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_2, c_e_h_3, s3)) | m_cell_v_ack(c_e_h_3, s3) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14019,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_2, c_e_h_3, s3)) | m_cell_v_ack(c_e_h_3, s3) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14018, 14017])).
% 78.81/51.15 tff(14020,plain,
% 78.81/51.15 (m_cell_v_ack(c_e_h_3, s3) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14019, 7175, 14016])).
% 78.81/51.15 tff(14021,plain,
% 78.81/51.15 (m_cell_v_ack(c_e_h_3, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14020, 14012])).
% 78.81/51.15 tff(14022,plain,
% 78.81/51.15 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14023,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14024,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 78.81/51.15 tff(14025,plain,
% 78.81/51.15 (node3(c_e_h_2, c_e_h_3, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14024, 1794, 1791])).
% 78.81/51.15 tff(14026,plain,
% 78.81/51.15 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14027,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14028,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 78.81/51.15 tff(14029,plain,
% 78.81/51.15 ((~m_cell_v_ack(c_e_h_3, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14028, 1808, 14025])).
% 78.81/51.15 tff(14030,plain,
% 78.81/51.15 (m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14029, 14021])).
% 78.81/51.15 tff(14031,assumption,(m_and_h_gate_v_out(c_e_h_2, c_q, s3)), introduced(assumption)).
% 78.81/51.15 tff(14032,plain,
% 78.81/51.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14033,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14034,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s1)) | m_and_h_gate_v_out(c_e_h_2, c_i, s1)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14033, 14032])).
% 78.81/51.15 tff(14035,plain,
% 78.81/51.15 (~m_c_h_element_v_in2(c_e_h_2, c_f, s1)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14034, 527, 10765])).
% 78.81/51.15 tff(14036,assumption,(m_c_h_element_v_out(c_e_h_2, c_f, s1)), introduced(assumption)).
% 78.81/51.15 tff(14037,assumption,(node15(c_e_h_2, c_f, s0, s1)), introduced(assumption)).
% 78.81/51.15 tff(14038,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | (~node15(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | (~node15(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14039,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | (~node15(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14040,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | (~node15(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_out(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 78.81/51.15 tff(14041,plain,
% 78.81/51.15 ($false),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14040, 612, 14036, 2081, 14037])).
% 78.81/51.15 tff(14042,plain,((~node15(c_e_h_2, c_f, s0, s1)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.15 tff(14043,plain,
% 78.81/51.15 (~node15(c_e_h_2, c_f, s0, s1)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14042, 14036])).
% 78.81/51.15 tff(14044,plain,
% 78.81/51.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14045,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14046,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_d, s0)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 78.81/51.15 tff(14047,plain,
% 78.81/51.15 (~m_c_h_element_v_in1(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14046, 1126, 9784])).
% 78.81/51.15 tff(14048,plain,
% 78.81/51.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14049,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14050,plain,
% 78.81/51.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s0)) | m_and_h_gate_v_out(c_e_h_2, c_i, s0)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 78.81/51.15 tff(14051,plain,
% 78.81/51.15 (~m_c_h_element_v_in2(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14050, 527, 10451])).
% 78.81/51.15 tff(14052,plain,
% 78.81/51.15 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s0)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | m_c_h_element_v_in2(c_e_h_2, c_f, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s0)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | m_c_h_element_v_in2(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14053,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s0)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | m_c_h_element_v_in2(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14054,plain,
% 78.81/51.15 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s0)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | m_c_h_element_v_in2(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14053, 14052])).
% 78.81/51.15 tff(14055,plain,
% 78.81/51.15 ((~node16(c_e_h_2, c_f, s0)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14054, 559, 14051])).
% 78.81/51.15 tff(14056,plain,
% 78.81/51.15 (~node16(c_e_h_2, c_f, s0)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14055, 14047])).
% 78.81/51.15 tff(14057,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_f, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_f, s0, s1))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14058,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_2, c_f, s0, s1))),
% 78.81/51.15 inference(quant_inst,[status(thm)],[])).
% 78.81/51.15 tff(14059,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_2, c_f, s0, s1)),
% 78.81/51.15 inference(modus_ponens,[status(thm)],[14058, 14057])).
% 78.81/51.15 tff(14060,plain,
% 78.81/51.15 (node19(c_e_h_2, c_f, s0, s1)),
% 78.81/51.15 inference(unit_resolution,[status(thm)],[14059, 494, 183])).
% 78.81/51.15 tff(14061,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14062,plain,
% 78.81/51.15 ((node16(c_e_h_2, c_f, s0) | node14(c_e_h_2, c_f, s0, s1) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1))) <=> (node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(rewrite,[status(thm)],[])).
% 78.81/51.15 tff(14063,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s0) | node14(c_e_h_2, c_f, s0, s1) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0)))),
% 78.81/51.15 inference(monotonicity,[status(thm)],[14062])).
% 78.81/51.15 tff(14064,plain,
% 78.81/51.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s0) | node14(c_e_h_2, c_f, s0, s1) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0))),
% 78.81/51.15 inference(transitivity,[status(thm)],[14063, 14061])).
% 78.81/51.15 tff(14065,plain,
% 78.81/51.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s0) | node14(c_e_h_2, c_f, s0, s1) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)))),
% 78.81/51.16 inference(quant_inst,[status(thm)],[])).
% 78.81/51.16 tff(14066,plain,
% 78.81/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s0, s1) | (~node19(c_e_h_2, c_f, s0, s1)) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0)),
% 78.81/51.16 inference(modus_ponens,[status(thm)],[14065, 14064])).
% 78.81/51.16 tff(14067,plain,
% 78.81/51.16 (node15(c_e_h_2, c_f, s0, s1) | node14(c_e_h_2, c_f, s0, s1) | node16(c_e_h_2, c_f, s0)),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14066, 594, 14060])).
% 78.81/51.16 tff(14068,plain,
% 78.81/51.16 (node15(c_e_h_2, c_f, s0, s1) | node14(c_e_h_2, c_f, s0, s1)),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14067, 14056])).
% 78.81/51.16 tff(14069,plain,
% 78.81/51.16 (node14(c_e_h_2, c_f, s0, s1)),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14068, 14043])).
% 78.81/51.16 tff(14070,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1)))),
% 78.81/51.16 inference(rewrite,[status(thm)],[])).
% 78.81/51.16 tff(14071,plain,
% 78.81/51.16 (((~node14(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1)))),
% 78.81/51.16 inference(rewrite,[status(thm)],[])).
% 78.81/51.16 tff(14072,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1))))),
% 78.81/51.16 inference(monotonicity,[status(thm)],[14071])).
% 78.81/51.16 tff(14073,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1)))),
% 78.81/51.16 inference(transitivity,[status(thm)],[14072, 14070])).
% 78.81/51.16 tff(14074,plain,
% 78.81/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s0, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)))),
% 78.81/51.16 inference(quant_inst,[status(thm)],[])).
% 78.81/51.16 tff(14075,plain,
% 78.81/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s0) | (~node14(c_e_h_2, c_f, s0, s1))),
% 78.81/51.16 inference(modus_ponens,[status(thm)],[14074, 14073])).
% 78.81/51.16 tff(14076,plain,
% 78.81/51.16 ($false),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14075, 575, 14036, 14047, 14069])).
% 78.81/51.16 tff(14077,plain,(~m_c_h_element_v_out(c_e_h_2, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 78.81/51.16 tff(14078,assumption,(m_c_h_element_v_out(c_e_h_2, c_f, s2)), introduced(assumption)).
% 78.81/51.16 tff(14079,assumption,(~m_c_h_element_v_out(c_e_h_2, c_f, s1)), introduced(assumption)).
% 78.81/51.16 tff(14080,assumption,(node18(c_e_h_2, c_f, s1, s2)), introduced(assumption)).
% 78.81/51.16 tff(14081,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2)))),
% 78.81/51.16 inference(rewrite,[status(thm)],[])).
% 78.81/51.16 tff(14082,plain,
% 78.81/51.16 (((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~node18(c_e_h_2, c_f, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2)))),
% 78.81/51.16 inference(rewrite,[status(thm)],[])).
% 78.81/51.16 tff(14083,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~node18(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2))))),
% 78.81/51.16 inference(monotonicity,[status(thm)],[14082])).
% 78.81/51.16 tff(14084,plain,
% 78.81/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~node18(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2)))),
% 78.81/51.16 inference(transitivity,[status(thm)],[14083, 14081])).
% 78.81/51.16 tff(14085,plain,
% 78.81/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~node18(c_e_h_2, c_f, s1, s2)))),
% 78.81/51.16 inference(quant_inst,[status(thm)],[])).
% 78.81/51.16 tff(14086,plain,
% 78.81/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node18(c_e_h_2, c_f, s1, s2))),
% 78.81/51.16 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 78.81/51.16 tff(14087,plain,
% 78.81/51.16 ($false),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14086, 481, 14079, 14078, 14080])).
% 78.81/51.16 tff(14088,plain,((~node18(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 78.81/51.16 tff(14089,plain,
% 78.81/51.16 (~node18(c_e_h_2, c_f, s1, s2)),
% 78.81/51.16 inference(unit_resolution,[status(thm)],[14088, 14079, 14078])).
% 78.90/51.16 tff(14090,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_f, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14091,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14092,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 78.90/51.16 tff(14093,plain,
% 78.90/51.16 (node19(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14092, 494, 265])).
% 78.90/51.16 tff(14094,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s1) | node18(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_f, s1) | node18(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14095,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s1) | node18(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14096,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_f, s1) | node18(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 78.90/51.16 tff(14097,plain,
% 78.90/51.16 (node17(c_e_h_2, c_f, s1) | node18(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14096, 508, 14093])).
% 78.90/51.16 tff(14098,plain,
% 78.90/51.16 (node17(c_e_h_2, c_f, s1)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14097, 14089])).
% 78.90/51.16 tff(14099,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_f, s1)), introduced(assumption)).
% 78.90/51.16 tff(14100,plain,
% 78.90/51.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1)))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14101,plain,
% 78.90/51.16 (((~m_c_h_element_v_in1(c_e_h_2, c_f, s1)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1))) <=> (m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1)))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14102,plain,
% 78.90/51.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s1)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1))))),
% 78.90/51.16 inference(monotonicity,[status(thm)],[14101])).
% 78.90/51.16 tff(14103,plain,
% 78.90/51.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s1)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1)))),
% 78.90/51.16 inference(transitivity,[status(thm)],[14102, 14100])).
% 78.90/51.16 tff(14104,plain,
% 78.90/51.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s1)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14105,plain,
% 78.90/51.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_f, s1) | (~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1))),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 78.90/51.16 tff(14106,plain,
% 78.90/51.16 ((~node17(c_e_h_2, c_f, s1)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s1))),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14105, 541, 14099])).
% 78.90/51.16 tff(14107,plain,
% 78.90/51.16 (~m_c_h_element_v_in1(c_e_h_2, c_f, s1)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14106, 14098])).
% 78.90/51.16 tff(14108,plain,
% 78.90/51.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | m_c_h_element_v_in2(c_e_h_2, c_f, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | m_c_h_element_v_in2(c_e_h_2, c_f, s1))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14109,plain,
% 78.90/51.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | m_c_h_element_v_in2(c_e_h_2, c_f, s1))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14110,plain,
% 78.90/51.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | m_c_h_element_v_in2(c_e_h_2, c_f, s1)),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 78.90/51.16 tff(14111,plain,
% 78.90/51.16 ((~node16(c_e_h_2, c_f, s1)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14110, 559, 14099])).
% 78.90/51.16 tff(14112,plain,
% 78.90/51.16 (~node16(c_e_h_2, c_f, s1)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14111, 14107])).
% 78.90/51.16 tff(14113,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_f, s1)), introduced(assumption)).
% 78.90/51.16 tff(14114,assumption,(node14(c_e_h_2, c_f, s1, s2)), introduced(assumption)).
% 78.90/51.16 tff(14115,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14116,plain,
% 78.90/51.16 (((~node14(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14117,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2))))),
% 78.90/51.16 inference(monotonicity,[status(thm)],[14116])).
% 78.90/51.16 tff(14118,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(transitivity,[status(thm)],[14117, 14115])).
% 78.90/51.16 tff(14119,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14120,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1) | (~node14(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 78.90/51.16 tff(14121,plain,
% 78.90/51.16 ($false),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14120, 575, 14078, 14114, 14113])).
% 78.90/51.16 tff(14122,plain,((~node14(c_e_h_2, c_f, s1, s2)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.16 tff(14123,plain,
% 78.90/51.16 (~node14(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14122, 14107, 14078])).
% 78.90/51.16 tff(14124,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14125,plain,
% 78.90/51.16 ((node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2))) <=> (node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(rewrite,[status(thm)],[])).
% 78.90/51.16 tff(14126,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(monotonicity,[status(thm)],[14125])).
% 78.90/51.16 tff(14127,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2))),
% 78.90/51.16 inference(transitivity,[status(thm)],[14126, 14124])).
% 78.90/51.16 tff(14128,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)))),
% 78.90/51.16 inference(quant_inst,[status(thm)],[])).
% 78.90/51.16 tff(14129,plain,
% 78.90/51.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_f, s1, s2) | (~node19(c_e_h_2, c_f, s1, s2)) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 78.90/51.16 tff(14130,plain,
% 78.90/51.16 (node15(c_e_h_2, c_f, s1, s2) | node16(c_e_h_2, c_f, s1) | node14(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14129, 594, 14093])).
% 78.90/51.16 tff(14131,plain,
% 78.90/51.16 (node15(c_e_h_2, c_f, s1, s2)),
% 78.90/51.16 inference(unit_resolution,[status(thm)],[14130, 14123, 14112])).
% 78.90/51.16 tff(14132,plain,
% 78.90/51.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node15(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node15(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14133,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node15(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14134,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | (~node15(c_e_h_2, c_f, s1, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s1)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14133, 14132])).
% 78.90/51.17 tff(14135,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14134, 612, 14079, 14078, 14131])).
% 78.90/51.17 tff(14136,plain,(m_c_h_element_v_out(c_e_h_2, c_f, s1) | (~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14137,plain,
% 78.90/51.17 ((~m_c_h_element_v_out(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s1)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14136, 14077])).
% 78.90/51.17 tff(14138,plain,
% 78.90/51.17 (~m_c_h_element_v_out(c_e_h_2, c_f, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14137, 14035])).
% 78.90/51.17 tff(14139,plain,
% 78.90/51.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14140,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14141,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s2)) | m_c_h_element_v_out(c_e_h_2, c_f, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14140, 14139])).
% 78.90/51.17 tff(14142,plain,
% 78.90/51.17 (~m_and_h_gate_v_in1(c_e_h_2, c_q, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14141, 397, 14138])).
% 78.90/51.17 tff(14143,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14144,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14145,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s2)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 78.90/51.17 tff(14146,plain,
% 78.90/51.17 (~node20(c_e_h_2, c_q, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14145, 22, 14142])).
% 78.90/51.17 tff(14147,assumption,(~node20(c_e_h_2, c_q, s2)), introduced(assumption)).
% 78.90/51.17 tff(14148,assumption,(node21(c_e_h_2, c_q, s2, s3)), introduced(assumption)).
% 78.90/51.17 tff(14149,plain,
% 78.90/51.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14150,plain,
% 78.90/51.17 ((node20(c_e_h_2, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node21(c_e_h_2, c_q, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14151,plain,
% 78.90/51.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node21(c_e_h_2, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3))))),
% 78.90/51.17 inference(monotonicity,[status(thm)],[14150])).
% 78.90/51.17 tff(14152,plain,
% 78.90/51.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node21(c_e_h_2, c_q, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3)))),
% 78.90/51.17 inference(transitivity,[status(thm)],[14151, 14149])).
% 78.90/51.17 tff(14153,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node21(c_e_h_2, c_q, s2, s3)))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14154,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2) | (~node21(c_e_h_2, c_q, s2, s3))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 78.90/51.17 tff(14155,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14154, 348, 14031, 14148, 14147])).
% 78.90/51.17 tff(14156,plain,((~node21(c_e_h_2, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | node20(c_e_h_2, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14157,plain,
% 78.90/51.17 ((~node21(c_e_h_2, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14156, 14146])).
% 78.90/51.17 tff(14158,plain,
% 78.90/51.17 (~node21(c_e_h_2, c_q, s2, s3)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14157, 14031])).
% 78.90/51.17 tff(14159,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_q, s2)), introduced(assumption)).
% 78.90/51.17 tff(14160,assumption,(node22(c_e_h_2, c_q, s2, s3)), introduced(assumption)).
% 78.90/51.17 tff(14161,plain,
% 78.90/51.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node22(c_e_h_2, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node22(c_e_h_2, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14162,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node22(c_e_h_2, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14163,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node22(c_e_h_2, c_q, s2, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 78.90/51.17 tff(14164,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14163, 437, 14031, 14159, 14160])).
% 78.90/51.17 tff(14165,plain,((~node22(c_e_h_2, c_q, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14166,plain,
% 78.90/51.17 (~node22(c_e_h_2, c_q, s2, s3)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14165, 14031, 14159])).
% 78.90/51.17 tff(14167,plain,
% 78.90/51.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_q, s2, s3) | node22(c_e_h_2, c_q, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_q, s2, s3) | node22(c_e_h_2, c_q, s2, s3))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14168,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_2, c_q, s2, s3) | node22(c_e_h_2, c_q, s2, s3))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14169,plain,
% 78.90/51.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_2, c_q, s2, s3) | node22(c_e_h_2, c_q, s2, s3)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14168, 14167])).
% 78.90/51.17 tff(14170,plain,
% 78.90/51.17 (node21(c_e_h_2, c_q, s2, s3) | node22(c_e_h_2, c_q, s2, s3)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14169, 383, 463])).
% 78.90/51.17 tff(14171,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14170, 14166, 14158])).
% 78.90/51.17 tff(14172,plain,((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | m_and_h_gate_v_out(c_e_h_2, c_q, s2)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14173,plain,
% 78.90/51.17 (m_and_h_gate_v_out(c_e_h_2, c_q, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14172, 14030])).
% 78.90/51.17 tff(14174,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14175,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14176,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 78.90/51.17 tff(14177,plain,
% 78.90/51.17 (node3(c_e_h_2, c_e_h_3, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14176, 1794, 1791])).
% 78.90/51.17 tff(14178,plain,
% 78.90/51.17 (^[I0: $i, X: $i, J0: $i] : refl((m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X))) <=> (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X))))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14179,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X))) <=> ![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14178])).
% 78.90/51.17 tff(14180,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X))) <=> ![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14181,plain,
% 78.90/51.17 (^[I0: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) <=> (m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X)))), (((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X))) <=> ((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X))))), rewrite(((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X))) <=> (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))), (((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X))) <=> (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14182,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14181])).
% 78.90/51.17 tff(14183,axiom,(![I0: $i, X: $i, J0: $i] : ((m_cell_v_ack(J0, X) | (~m_and_h_gate_v_out(I0, c_q, X))) | (~node3(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_77')).
% 78.90/51.17 tff(14184,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 78.90/51.17 tff(14185,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14184, 14180])).
% 78.90/51.17 tff(14186,plain,(
% 78.90/51.17 ![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(skolemize,[status(sab)],[14185])).
% 78.90/51.17 tff(14187,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14186, 14179])).
% 78.90/51.17 tff(14188,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14189,plain,
% 78.90/51.17 ((m_cell_v_ack(c_e_h_3, s2) | (~node3(c_e_h_2, c_e_h_3, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2))) <=> (m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14190,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s2) | (~node3(c_e_h_2, c_e_h_3, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2))))),
% 78.90/51.17 inference(monotonicity,[status(thm)],[14189])).
% 78.90/51.17 tff(14191,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s2) | (~node3(c_e_h_2, c_e_h_3, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(transitivity,[status(thm)],[14190, 14188])).
% 78.90/51.17 tff(14192,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s2) | (~node3(c_e_h_2, c_e_h_3, s2)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14193,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2)) | (~node3(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 78.90/51.17 tff(14194,plain,
% 78.90/51.17 (m_cell_v_ack(c_e_h_3, s2) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s2))),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14193, 14187, 14177])).
% 78.90/51.17 tff(14195,plain,
% 78.90/51.17 (m_cell_v_ack(c_e_h_3, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14194, 14173])).
% 78.90/51.17 tff(14196,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14197,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14198,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14197, 14196])).
% 78.90/51.17 tff(14199,plain,
% 78.90/51.17 (node2(c_e_h_2, c_e_h_3, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14198, 1794, 7161])).
% 78.90/51.17 tff(14200,plain,
% 78.90/51.17 (^[I0: $i, X: $i, J0: $i] : refl(((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))) <=> ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14201,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14200])).
% 78.90/51.17 tff(14202,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14203,plain,
% 78.90/51.17 (^[I0: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((~m_and_h_gate_v_in2(I0, c_c, X)) | (~m_cell_v_ack(J0, X))) <=> ((~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))), ((((~m_and_h_gate_v_in2(I0, c_c, X)) | (~m_cell_v_ack(J0, X))) | (~node2(I0, J0, X))) <=> (((~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(I0, J0, X))))), rewrite((((~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(I0, J0, X))) <=> ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))), ((((~m_and_h_gate_v_in2(I0, c_c, X)) | (~m_cell_v_ack(J0, X))) | (~node2(I0, J0, X))) <=> ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14204,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : (((~m_and_h_gate_v_in2(I0, c_c, X)) | (~m_cell_v_ack(J0, X))) | (~node2(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14203])).
% 78.90/51.17 tff(14205,axiom,(![I0: $i, X: $i, J0: $i] : (((~m_and_h_gate_v_in2(I0, c_c, X)) | (~m_cell_v_ack(J0, X))) | (~node2(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_13')).
% 78.90/51.17 tff(14206,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 78.90/51.17 tff(14207,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14206, 14202])).
% 78.90/51.17 tff(14208,plain,(
% 78.90/51.17 ![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(skolemize,[status(sab)],[14207])).
% 78.90/51.17 tff(14209,plain,
% 78.90/51.17 (![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14208, 14201])).
% 78.90/51.17 tff(14210,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14211,plain,
% 78.90/51.17 (((~node2(c_e_h_2, c_e_h_3, s2)) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2))) <=> ((~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14212,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s2)) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2))))),
% 78.90/51.17 inference(monotonicity,[status(thm)],[14211])).
% 78.90/51.17 tff(14213,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s2)) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2)))),
% 78.90/51.17 inference(transitivity,[status(thm)],[14212, 14210])).
% 78.90/51.17 tff(14214,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s2)) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14215,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)) | (~node2(c_e_h_2, c_e_h_3, s2))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 78.90/51.17 tff(14216,plain,
% 78.90/51.17 ((~m_cell_v_ack(c_e_h_3, s2)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2))),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14215, 14209, 14199])).
% 78.90/51.17 tff(14217,plain,
% 78.90/51.17 (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14216, 14195])).
% 78.90/51.17 tff(14218,plain,
% 78.90/51.17 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s2))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14219,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s2))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14220,plain,
% 78.90/51.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_c, s2)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 78.90/51.17 tff(14221,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14220, 334, 14217, 13882])).
% 78.90/51.17 tff(14222,plain,((~m_and_h_gate_v_out(c_e_h_2, c_c, s3)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14223,plain,
% 78.90/51.17 (m_and_h_gate_v_out(c_e_h_2, c_c, s4)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14222, 13857])).
% 78.90/51.17 tff(14224,plain,
% 78.90/51.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14225,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14226,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 78.90/51.17 tff(14227,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14226, 6731, 14223, 13819])).
% 78.90/51.17 tff(14228,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s3) | m_or_h_gate_v_out(c_e_h_2, c_g, s3) | m_and_h_gate_v_out(c_e_h_2, c_k, s6) | m_and_h_gate_v_out(c_e_h_2, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.17 tff(14229,plain,
% 78.90/51.17 (m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14228, 13702, 13537, 13646, 13545])).
% 78.90/51.17 tff(14230,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)), introduced(assumption)).
% 78.90/51.17 tff(14231,assumption,(m_and_h_gate_v_out(c_e_h_2, c_k, s6)), introduced(assumption)).
% 78.90/51.17 tff(14232,plain,
% 78.90/51.17 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X)) <=> ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X)))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14233,plain,
% 78.90/51.17 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14232])).
% 78.90/51.17 tff(14234,plain,
% 78.90/51.17 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14235,plain,
% 78.90/51.17 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_p, X) | (~m_and_h_gate_v_out(I0, c_k, X))) <=> ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X)))),
% 78.90/51.17 inference(bind,[status(th)],[])).
% 78.90/51.17 tff(14236,plain,
% 78.90/51.17 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_p, X) | (~m_and_h_gate_v_out(I0, c_k, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(quant_intro,[status(thm)],[14235])).
% 78.90/51.17 tff(14237,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_p, X) | (~m_and_h_gate_v_out(I0, c_k, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_63')).
% 78.90/51.17 tff(14238,plain,
% 78.90/51.17 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 78.90/51.17 tff(14239,plain,
% 78.90/51.17 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14238, 14234])).
% 78.90/51.17 tff(14240,plain,(
% 78.90/51.17 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(skolemize,[status(sab)],[14239])).
% 78.90/51.17 tff(14241,plain,
% 78.90/51.17 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14240, 14233])).
% 78.90/51.17 tff(14242,plain,
% 78.90/51.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))),
% 78.90/51.17 inference(rewrite,[status(thm)],[])).
% 78.90/51.17 tff(14243,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))),
% 78.90/51.17 inference(quant_inst,[status(thm)],[])).
% 78.90/51.17 tff(14244,plain,
% 78.90/51.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 78.90/51.17 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 78.90/51.17 tff(14245,plain,
% 78.90/51.17 ($false),
% 78.90/51.17 inference(unit_resolution,[status(thm)],[14244, 14241, 14231, 14230])).
% 78.90/51.17 tff(14246,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.18 tff(14247,plain,
% 78.90/51.18 (m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14246, 14229])).
% 78.90/51.18 tff(14248,plain,
% 78.90/51.18 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X)) <=> ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X)))),
% 78.90/51.18 inference(bind,[status(th)],[])).
% 78.90/51.18 tff(14249,plain,
% 78.90/51.18 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(quant_intro,[status(thm)],[14248])).
% 78.90/51.18 tff(14250,plain,
% 78.90/51.18 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14251,plain,
% 78.90/51.18 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in2(I0, c_p, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X)))),
% 78.90/51.18 inference(bind,[status(th)],[])).
% 78.90/51.18 tff(14252,plain,
% 78.90/51.18 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_p, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(quant_intro,[status(thm)],[14251])).
% 78.90/51.18 tff(14253,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_p, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_65')).
% 78.90/51.18 tff(14254,plain,
% 78.90/51.18 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 78.90/51.18 tff(14255,plain,
% 78.90/51.18 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14254, 14250])).
% 78.90/51.18 tff(14256,plain,(
% 78.90/51.18 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(skolemize,[status(sab)],[14255])).
% 78.90/51.18 tff(14257,plain,
% 78.90/51.18 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14256, 14249])).
% 78.90/51.18 tff(14258,plain,
% 78.90/51.18 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s6))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14259,plain,
% 78.90/51.18 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s6))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14260,plain,
% 78.90/51.18 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s6)),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14259, 14258])).
% 78.90/51.18 tff(14261,plain,
% 78.90/51.18 (m_and_h_gate_v_in2(c_e_h_2, c_p, s6)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14260, 14257, 11864])).
% 78.90/51.18 tff(14262,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s7)), introduced(assumption)).
% 78.90/51.18 tff(14263,assumption,(node22(c_e_h_2, c_p, s6, s7)), introduced(assumption)).
% 78.90/51.18 tff(14264,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14265,plain,
% 78.90/51.18 ((m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~node22(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6))) <=> (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14266,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~node22(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7))))),
% 78.90/51.18 inference(monotonicity,[status(thm)],[14265])).
% 78.90/51.18 tff(14267,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~node22(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(transitivity,[status(thm)],[14266, 14264])).
% 78.90/51.18 tff(14268,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~node22(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14269,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | (~node22(c_e_h_2, c_p, s6, s7))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14268, 14267])).
% 78.90/51.18 tff(14270,plain,
% 78.90/51.18 ($false),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14269, 6905, 13664, 14263, 14262])).
% 78.90/51.18 tff(14271,plain,((~node22(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.18 tff(14272,plain,
% 78.90/51.18 (~node22(c_e_h_2, c_p, s6, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14271, 14262, 13664])).
% 78.90/51.18 tff(14273,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_p, s6, s7) | node22(c_e_h_2, c_p, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_p, s6, s7) | node22(c_e_h_2, c_p, s6, s7))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14274,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_p, s6, s7) | node22(c_e_h_2, c_p, s6, s7))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14275,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_p, s6, s7) | node22(c_e_h_2, c_p, s6, s7)),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14274, 14273])).
% 78.90/51.18 tff(14276,plain,
% 78.90/51.18 (node21(c_e_h_2, c_p, s6, s7) | node22(c_e_h_2, c_p, s6, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14275, 383, 1685])).
% 78.90/51.18 tff(14277,plain,
% 78.90/51.18 (node21(c_e_h_2, c_p, s6, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14276, 14272])).
% 78.90/51.18 tff(14278,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14279,plain,
% 78.90/51.18 (((~node21(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7)) <=> (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14280,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7))))),
% 78.90/51.18 inference(monotonicity,[status(thm)],[14279])).
% 78.90/51.18 tff(14281,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 78.90/51.18 inference(transitivity,[status(thm)],[14280, 14278])).
% 78.90/51.18 tff(14282,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14283,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | (~node21(c_e_h_2, c_p, s6, s7))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 78.90/51.18 tff(14284,plain,
% 78.90/51.18 ($false),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14283, 7190, 14277, 14262, 14261, 14247])).
% 78.90/51.18 tff(14285,plain,(m_and_h_gate_v_out(c_e_h_2, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s6))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.18 tff(14286,plain,
% 78.90/51.18 (m_and_h_gate_v_out(c_e_h_2, c_p, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14285, 13529])).
% 78.90/51.18 tff(14287,plain,
% 78.90/51.18 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s6)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13418, 13410])).
% 78.90/51.18 tff(14288,plain,
% 78.90/51.18 (~node20(c_e_h_1, c_d, s6)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13426, 14287])).
% 78.90/51.18 tff(14289,plain,
% 78.90/51.18 (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13449, 14288, 13178])).
% 78.90/51.18 tff(14290,plain,
% 78.90/51.18 ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | node20(c_e_h_1, c_d, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13508, 14289])).
% 78.90/51.18 tff(14291,plain,
% 78.90/51.18 (node20(c_e_h_1, c_d, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14290, 12660])).
% 78.90/51.18 tff(14292,plain,
% 78.90/51.18 (m_and_h_gate_v_in1(c_e_h_1, c_d, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13488, 14291])).
% 78.90/51.18 tff(14293,plain,
% 78.90/51.18 (m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[13480, 14292])).
% 78.90/51.18 tff(14294,assumption,(node13(c_e_h_1, c_b, s7, s8)), introduced(assumption)).
% 78.90/51.18 tff(14295,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14296,plain,
% 78.90/51.18 ((m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14297,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8))))),
% 78.90/51.18 inference(monotonicity,[status(thm)],[14296])).
% 78.90/51.18 tff(14298,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)))),
% 78.90/51.18 inference(transitivity,[status(thm)],[14297, 14295])).
% 78.90/51.18 tff(14299,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14300,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~node13(c_e_h_1, c_b, s7, s8))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14299, 14298])).
% 78.90/51.18 tff(14301,plain,
% 78.90/51.18 ($false),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14300, 7277, 14294, 13452, 12659])).
% 78.90/51.18 tff(14302,plain,((~node13(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.18 tff(14303,plain,
% 78.90/51.18 (~node13(c_e_h_1, c_b, s7, s8)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14302, 12659, 13452])).
% 78.90/51.18 tff(14304,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_1, c_b, s7, s8) | node13(c_e_h_1, c_b, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_1, c_b, s7, s8) | node13(c_e_h_1, c_b, s7, s8))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14305,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_1, c_b, s7, s8) | node13(c_e_h_1, c_b, s7, s8))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14306,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_1, c_b, s7, s8) | node13(c_e_h_1, c_b, s7, s8)),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 78.90/51.18 tff(14307,plain,
% 78.90/51.18 (node12(c_e_h_1, c_b, s7, s8) | node13(c_e_h_1, c_b, s7, s8)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14306, 1020, 2456])).
% 78.90/51.18 tff(14308,plain,
% 78.90/51.18 (node12(c_e_h_1, c_b, s7, s8)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14307, 14303])).
% 78.90/51.18 tff(14309,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)), introduced(assumption)).
% 78.90/51.18 tff(14310,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14311,plain,
% 78.90/51.18 (((~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14312,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 78.90/51.18 inference(monotonicity,[status(thm)],[14311])).
% 78.90/51.18 tff(14313,plain,
% 78.90/51.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.90/51.18 inference(transitivity,[status(thm)],[14312, 14310])).
% 78.90/51.18 tff(14314,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14315,plain,
% 78.90/51.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 78.90/51.18 tff(14316,plain,
% 78.90/51.18 ($false),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14315, 7301, 14309, 14308, 12659])).
% 78.90/51.18 tff(14317,plain,(m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.18 tff(14318,plain,
% 78.90/51.18 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14317, 14293, 12659])).
% 78.90/51.18 tff(14319,plain,
% 78.90/51.18 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s7))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14320,plain,
% 78.90/51.18 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s7))),
% 78.90/51.18 inference(quant_inst,[status(thm)],[])).
% 78.90/51.18 tff(14321,plain,
% 78.90/51.18 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s7)),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 78.90/51.18 tff(14322,plain,
% 78.90/51.18 (node1(c_e_h_1, c_e_h_2, s7)),
% 78.90/51.18 inference(unit_resolution,[status(thm)],[14321, 2823, 1047])).
% 78.90/51.18 tff(14323,plain,
% 78.90/51.18 (^[I0: $i, X: $i, J0: $i] : refl(((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)) <=> ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)))),
% 78.90/51.18 inference(bind,[status(th)],[])).
% 78.90/51.18 tff(14324,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(quant_intro,[status(thm)],[14323])).
% 78.90/51.18 tff(14325,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.18 tff(14326,plain,
% 78.90/51.18 (^[I0: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_mutex_h_half_v_inp(I0, c_b, X) | (~m_cell_v_req(J0, X))) <=> ((~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))), (((m_mutex_h_half_v_inp(I0, c_b, X) | (~m_cell_v_req(J0, X))) | (~node1(I0, J0, X))) <=> (((~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)) | (~node1(I0, J0, X))))), rewrite((((~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X)) | (~node1(I0, J0, X))) <=> ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))), (((m_mutex_h_half_v_inp(I0, c_b, X) | (~m_cell_v_req(J0, X))) | (~node1(I0, J0, X))) <=> ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))))),
% 78.90/51.18 inference(bind,[status(th)],[])).
% 78.90/51.18 tff(14327,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((m_mutex_h_half_v_inp(I0, c_b, X) | (~m_cell_v_req(J0, X))) | (~node1(I0, J0, X))) <=> ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(quant_intro,[status(thm)],[14326])).
% 78.90/51.18 tff(14328,axiom,(![I0: $i, X: $i, J0: $i] : ((m_mutex_h_half_v_inp(I0, c_b, X) | (~m_cell_v_req(J0, X))) | (~node1(I0, J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_5')).
% 78.90/51.18 tff(14329,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 78.90/51.18 tff(14330,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14329, 14325])).
% 78.90/51.18 tff(14331,plain,(
% 78.90/51.18 ![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(skolemize,[status(sab)],[14330])).
% 78.90/51.18 tff(14332,plain,
% 78.90/51.18 (![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))),
% 78.90/51.18 inference(modus_ponens,[status(thm)],[14331, 14324])).
% 78.90/51.18 tff(14333,plain,
% 78.90/51.18 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))),
% 78.90/51.18 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14334,plain,
% 78.90/51.19 (((~node1(c_e_h_1, c_e_h_2, s7)) | (~m_cell_v_req(c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) <=> ((~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14335,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | (~m_cell_v_req(c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)))),
% 78.90/51.19 inference(monotonicity,[status(thm)],[14334])).
% 78.90/51.19 tff(14336,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | (~m_cell_v_req(c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))),
% 78.90/51.19 inference(transitivity,[status(thm)],[14335, 14333])).
% 78.90/51.19 tff(14337,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | (~m_cell_v_req(c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14338,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 78.90/51.19 tff(14339,plain,
% 78.90/51.19 ((~m_cell_v_req(c_e_h_2, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14338, 14332, 14322])).
% 78.90/51.19 tff(14340,plain,
% 78.90/51.19 (~m_cell_v_req(c_e_h_2, s7)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14339, 14318])).
% 78.90/51.19 tff(14341,assumption,(m_and_h_gate_v_out(c_e_h_2, c_p, s7)), introduced(assumption)).
% 78.90/51.19 tff(14342,assumption,(~m_cell_v_req(c_e_h_2, s7)), introduced(assumption)).
% 78.90/51.19 tff(14343,plain,
% 78.90/51.19 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X)) <=> ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X)))),
% 78.90/51.19 inference(bind,[status(th)],[])).
% 78.90/51.19 tff(14344,plain,
% 78.90/51.19 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(quant_intro,[status(thm)],[14343])).
% 78.90/51.19 tff(14345,plain,
% 78.90/51.19 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14346,plain,
% 78.90/51.19 (^[I0: $i, X: $i] : rewrite((m_cell_v_req(I0, X) | (~m_and_h_gate_v_out(I0, c_p, X))) <=> ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X)))),
% 78.90/51.19 inference(bind,[status(th)],[])).
% 78.90/51.19 tff(14347,plain,
% 78.90/51.19 (![I0: $i, X: $i] : (m_cell_v_req(I0, X) | (~m_and_h_gate_v_out(I0, c_p, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(quant_intro,[status(thm)],[14346])).
% 78.90/51.19 tff(14348,axiom,(![I0: $i, X: $i] : (m_cell_v_req(I0, X) | (~m_and_h_gate_v_out(I0, c_p, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_75')).
% 78.90/51.19 tff(14349,plain,
% 78.90/51.19 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14348, 14347])).
% 78.90/51.19 tff(14350,plain,
% 78.90/51.19 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14349, 14345])).
% 78.90/51.19 tff(14351,plain,(
% 78.90/51.19 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(skolemize,[status(sab)],[14350])).
% 78.90/51.19 tff(14352,plain,
% 78.90/51.19 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14351, 14344])).
% 78.90/51.19 tff(14353,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_cell_v_req(c_e_h_2, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_cell_v_req(c_e_h_2, s7))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14354,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_cell_v_req(c_e_h_2, s7))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14355,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_cell_v_req(c_e_h_2, s7)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 78.90/51.19 tff(14356,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14355, 14352, 14342, 14341])).
% 78.90/51.19 tff(14357,plain,(m_cell_v_req(c_e_h_2, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14358,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14357, 14340, 14286])).
% 78.90/51.19 tff(14359,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14360,plain,
% 78.90/51.19 (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14359, 12659])).
% 78.90/51.19 tff(14361,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.90/51.19 tff(14362,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.90/51.19 tff(14363,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14364,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14365,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 78.90/51.19 tff(14366,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14365, 1126, 14362, 14361])).
% 78.90/51.19 tff(14367,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14368,plain,
% 78.90/51.19 (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14367, 14360])).
% 78.90/51.19 tff(14369,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.90/51.19 tff(14370,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14371,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14372,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 78.90/51.19 tff(14373,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14372, 1126, 14369, 13411])).
% 78.90/51.19 tff(14374,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14375,plain,
% 78.90/51.19 (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14374, 13178])).
% 78.90/51.19 tff(14376,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s5)), introduced(assumption)).
% 78.90/51.19 tff(14377,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14378,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14379,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 78.90/51.19 tff(14380,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14379, 527, 5803, 14376])).
% 78.90/51.19 tff(14381,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s5)) | m_and_h_gate_v_out(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14382,plain,
% 78.90/51.19 (~m_c_h_element_v_in2(c_e_h_1, c_f, s5)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14381, 5801])).
% 78.90/51.19 tff(14383,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s4)), introduced(assumption)).
% 78.90/51.19 tff(14384,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14385,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14386,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s4)) | m_and_h_gate_v_out(c_e_h_1, c_i, s4)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 78.90/51.19 tff(14387,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14386, 527, 5773, 14383])).
% 78.90/51.19 tff(14388,plain,(~m_c_h_element_v_in2(c_e_h_1, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14389,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.19 tff(14390,plain,
% 78.90/51.19 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14391,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14392,plain,
% 78.90/51.19 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14391, 14390])).
% 78.90/51.19 tff(14393,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14392, 527, 14389, 5121])).
% 78.90/51.19 tff(14394,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14395,plain,
% 78.90/51.19 (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14394, 5120])).
% 78.90/51.19 tff(14396,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.19 tff(14397,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s4)), introduced(assumption)).
% 78.90/51.19 tff(14398,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.19 tff(14399,assumption,(node15(c_e_h_1, c_f, s3, s4)), introduced(assumption)).
% 78.90/51.19 tff(14400,plain,
% 78.90/51.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | (~node15(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | (~node15(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14401,plain,
% 78.90/51.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | (~node15(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14402,plain,
% 78.90/51.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | (~node15(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 78.90/51.19 tff(14403,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14402, 612, 14398, 14397, 14399])).
% 78.90/51.19 tff(14404,plain,((~node15(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14405,plain,
% 78.90/51.19 (~node15(c_e_h_1, c_f, s3, s4)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14404, 14398, 14397])).
% 78.90/51.19 tff(14406,assumption,(node17(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.19 tff(14407,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14408,plain,
% 78.90/51.19 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3) | (~node17(c_e_h_1, c_f, s3))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14409,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3) | (~node17(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(monotonicity,[status(thm)],[14408])).
% 78.90/51.19 tff(14410,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3) | (~node17(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(transitivity,[status(thm)],[14409, 14407])).
% 78.90/51.19 tff(14411,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3) | (~node17(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14412,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 78.90/51.19 tff(14413,plain,
% 78.90/51.19 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14412, 541, 14396])).
% 78.90/51.19 tff(14414,plain,
% 78.90/51.19 (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14413, 14406])).
% 78.90/51.19 tff(14415,assumption,(~node15(c_e_h_1, c_f, s3, s4)), introduced(assumption)).
% 78.90/51.19 tff(14416,assumption,(node16(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.19 tff(14417,plain,
% 78.90/51.19 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14412, 541, 14406])).
% 78.90/51.19 tff(14418,plain,
% 78.90/51.19 (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14417, 14396])).
% 78.90/51.19 tff(14419,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14420,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14421,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14420, 14419])).
% 78.90/51.19 tff(14422,plain,
% 78.90/51.19 (m_c_h_element_v_in1(c_e_h_1, c_f, s3) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14421, 559, 14416])).
% 78.90/51.19 tff(14423,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14422, 14418, 14396])).
% 78.90/51.19 tff(14424,plain,(m_c_h_element_v_in2(c_e_h_1, c_f, s3) | (~node16(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14425,plain,
% 78.90/51.19 (m_c_h_element_v_in2(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14424, 14416, 14406])).
% 78.90/51.19 tff(14426,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14427,plain,
% 78.90/51.19 ((m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3))) <=> ((~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14428,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3))))),
% 78.90/51.19 inference(monotonicity,[status(thm)],[14427])).
% 78.90/51.19 tff(14429,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(transitivity,[status(thm)],[14428, 14426])).
% 78.90/51.19 tff(14430,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14431,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s3)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 78.90/51.19 tff(14432,plain,
% 78.90/51.19 (m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14431, 1172, 14406])).
% 78.90/51.19 tff(14433,plain,
% 78.90/51.19 (m_c_h_element_v_in1(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14432, 14425])).
% 78.90/51.19 tff(14434,plain,
% 78.90/51.19 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14435,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3)))),
% 78.90/51.19 inference(quant_inst,[status(thm)],[])).
% 78.90/51.19 tff(14436,plain,
% 78.90/51.19 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 78.90/51.19 tff(14437,plain,
% 78.90/51.19 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s3))),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14436, 1192, 14416])).
% 78.90/51.19 tff(14438,plain,
% 78.90/51.19 ($false),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14437, 14433, 14425])).
% 78.90/51.19 tff(14439,plain,((~node16(c_e_h_1, c_f, s3)) | (~node17(c_e_h_1, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 78.90/51.19 tff(14440,plain,
% 78.90/51.19 (~node16(c_e_h_1, c_f, s3)),
% 78.90/51.19 inference(unit_resolution,[status(thm)],[14439, 14406])).
% 78.90/51.19 tff(14441,plain,
% 78.90/51.19 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_f, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_f, s3, s4))),
% 78.90/51.19 inference(rewrite,[status(thm)],[])).
% 78.90/51.19 tff(14442,plain,
% 78.90/51.19 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_1, c_f, s3, s4))),
% 78.90/51.20 inference(quant_inst,[status(thm)],[])).
% 78.90/51.20 tff(14443,plain,
% 78.90/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_1, c_f, s3, s4)),
% 78.90/51.20 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 78.90/51.20 tff(14444,plain,
% 78.90/51.20 (node19(c_e_h_1, c_f, s3, s4)),
% 78.90/51.20 inference(unit_resolution,[status(thm)],[14443, 494, 711])).
% 78.90/51.20 tff(14445,plain,
% 78.90/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4))),
% 78.90/51.20 inference(rewrite,[status(thm)],[])).
% 78.90/51.20 tff(14446,plain,
% 78.90/51.20 ((node16(c_e_h_1, c_f, s3) | node14(c_e_h_1, c_f, s3, s4) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4))) <=> (node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4))),
% 78.90/51.20 inference(rewrite,[status(thm)],[])).
% 78.90/51.20 tff(14447,plain,
% 78.90/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s3) | node14(c_e_h_1, c_f, s3, s4) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4)))),
% 78.90/51.20 inference(monotonicity,[status(thm)],[14446])).
% 78.90/51.20 tff(14448,plain,
% 78.90/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s3) | node14(c_e_h_1, c_f, s3, s4) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4))),
% 78.90/51.20 inference(transitivity,[status(thm)],[14447, 14445])).
% 78.90/51.20 tff(14449,plain,
% 78.90/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s3) | node14(c_e_h_1, c_f, s3, s4) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))),
% 78.90/51.20 inference(quant_inst,[status(thm)],[])).
% 78.90/51.20 tff(14450,plain,
% 78.90/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)) | node14(c_e_h_1, c_f, s3, s4)),
% 78.90/51.20 inference(modus_ponens,[status(thm)],[14449, 14448])).
% 78.90/51.20 tff(14451,plain,
% 78.90/51.20 (node16(c_e_h_1, c_f, s3) | node15(c_e_h_1, c_f, s3, s4) | node14(c_e_h_1, c_f, s3, s4)),
% 78.90/51.20 inference(unit_resolution,[status(thm)],[14450, 594, 14444])).
% 78.90/51.20 tff(14452,plain,
% 78.90/51.20 (node14(c_e_h_1, c_f, s3, s4)),
% 78.90/51.20 inference(unit_resolution,[status(thm)],[14451, 14440, 14415])).
% 78.90/51.20 tff(14453,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s3)), introduced(assumption)).
% 78.90/51.20 tff(14454,assumption,(node14(c_e_h_1, c_f, s3, s4)), introduced(assumption)).
% 78.90/51.20 tff(14455,plain,
% 78.90/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14456,plain,
% 78.93/51.20 (((~node14(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4))) <=> ((~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14457,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3)))),
% 78.93/51.20 inference(monotonicity,[status(thm)],[14456])).
% 78.93/51.20 tff(14458,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3))),
% 78.93/51.20 inference(transitivity,[status(thm)],[14457, 14455])).
% 78.93/51.20 tff(14459,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s3, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14460,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3)),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 78.93/51.20 tff(14461,plain,
% 78.93/51.20 ($false),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14460, 575, 14397, 14454, 14453])).
% 78.93/51.20 tff(14462,plain,((~node14(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.20 tff(14463,plain,
% 78.93/51.20 ($false),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14462, 14452, 14414, 14397])).
% 78.93/51.20 tff(14464,plain,((~node17(c_e_h_1, c_f, s3)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | node15(c_e_h_1, c_f, s3, s4) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.20 tff(14465,plain,
% 78.93/51.20 (~node17(c_e_h_1, c_f, s3)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14464, 14405, 14397, 14396])).
% 78.93/51.20 tff(14466,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s3) | node18(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s3) | node18(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14467,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s3) | node18(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4)))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14468,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s3) | node18(c_e_h_1, c_f, s3, s4) | (~node19(c_e_h_1, c_f, s3, s4))),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14467, 14466])).
% 78.93/51.20 tff(14469,plain,
% 78.93/51.20 (node17(c_e_h_1, c_f, s3) | node18(c_e_h_1, c_f, s3, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14468, 508, 14444])).
% 78.93/51.20 tff(14470,plain,
% 78.93/51.20 (node18(c_e_h_1, c_f, s3, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14469, 14465])).
% 78.93/51.20 tff(14471,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14472,plain,
% 78.93/51.20 (((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14473,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4))))),
% 78.93/51.20 inference(monotonicity,[status(thm)],[14472])).
% 78.93/51.20 tff(14474,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(transitivity,[status(thm)],[14473, 14471])).
% 78.93/51.20 tff(14475,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14476,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~node18(c_e_h_1, c_f, s3, s4)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 78.93/51.20 tff(14477,plain,
% 78.93/51.20 ($false),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14476, 481, 14398, 14397, 14470])).
% 78.93/51.20 tff(14478,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s3) | (~m_c_h_element_v_out(c_e_h_1, c_f, s4)) | m_c_h_element_v_in2(c_e_h_1, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.20 tff(14479,plain,
% 78.93/51.20 (~m_c_h_element_v_out(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14478, 10383, 14395])).
% 78.93/51.20 tff(14480,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s4)), introduced(assumption)).
% 78.93/51.20 tff(14481,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s5)), introduced(assumption)).
% 78.93/51.20 tff(14482,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s4)), introduced(assumption)).
% 78.93/51.20 tff(14483,assumption,(node15(c_e_h_1, c_f, s4, s5)), introduced(assumption)).
% 78.93/51.20 tff(14484,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node15(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node15(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14485,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node15(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14486,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node15(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 78.93/51.20 tff(14487,plain,
% 78.93/51.20 ($false),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14486, 612, 14481, 14482, 14483])).
% 78.93/51.20 tff(14488,plain,((~node15(c_e_h_1, c_f, s4, s5)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.20 tff(14489,plain,
% 78.93/51.20 (~node15(c_e_h_1, c_f, s4, s5)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14488, 14482, 14481])).
% 78.93/51.20 tff(14490,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s4)), introduced(assumption)).
% 78.93/51.20 tff(14491,assumption,(~node15(c_e_h_1, c_f, s4, s5)), introduced(assumption)).
% 78.93/51.20 tff(14492,plain,
% 78.93/51.20 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | m_c_h_element_v_in2(c_e_h_1, c_f, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | m_c_h_element_v_in2(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14493,plain,
% 78.93/51.20 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | m_c_h_element_v_in2(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14494,plain,
% 78.93/51.20 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | m_c_h_element_v_in2(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 78.93/51.20 tff(14495,plain,
% 78.93/51.20 ((~node16(c_e_h_1, c_f, s4)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14494, 559, 14480])).
% 78.93/51.20 tff(14496,plain,
% 78.93/51.20 (~node16(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14495, 14490])).
% 78.93/51.20 tff(14497,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_f, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_f, s4, s5))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14498,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_1, c_f, s4, s5))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14499,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_1, c_f, s4, s5)),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 78.93/51.20 tff(14500,plain,
% 78.93/51.20 (node19(c_e_h_1, c_f, s4, s5)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14499, 494, 930])).
% 78.93/51.20 tff(14501,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14502,plain,
% 78.93/51.20 ((node16(c_e_h_1, c_f, s4) | node14(c_e_h_1, c_f, s4, s5) | node15(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5))) <=> ((~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14503,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s4) | node14(c_e_h_1, c_f, s4, s5) | node15(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(monotonicity,[status(thm)],[14502])).
% 78.93/51.20 tff(14504,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s4) | node14(c_e_h_1, c_f, s4, s5) | node15(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(transitivity,[status(thm)],[14503, 14501])).
% 78.93/51.20 tff(14505,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s4) | node14(c_e_h_1, c_f, s4, s5) | node15(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))),
% 78.93/51.20 inference(quant_inst,[status(thm)],[])).
% 78.93/51.20 tff(14506,plain,
% 78.93/51.20 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 78.93/51.20 tff(14507,plain,
% 78.93/51.20 (node15(c_e_h_1, c_f, s4, s5) | node14(c_e_h_1, c_f, s4, s5) | node16(c_e_h_1, c_f, s4)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14506, 594, 14500])).
% 78.93/51.20 tff(14508,plain,
% 78.93/51.20 (node14(c_e_h_1, c_f, s4, s5)),
% 78.93/51.20 inference(unit_resolution,[status(thm)],[14507, 14496, 14491])).
% 78.93/51.20 tff(14509,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14510,plain,
% 78.93/51.20 (((~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4))),
% 78.93/51.20 inference(rewrite,[status(thm)],[])).
% 78.93/51.20 tff(14511,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4)))),
% 78.93/51.20 inference(monotonicity,[status(thm)],[14510])).
% 78.93/51.20 tff(14512,plain,
% 78.93/51.20 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14511, 14509])).
% 78.93/51.21 tff(14513,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14514,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | (~node14(c_e_h_1, c_f, s4, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 78.93/51.21 tff(14515,plain,
% 78.93/51.21 ($false),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14514, 575, 14481, 14508, 14490])).
% 78.93/51.21 tff(14516,plain,(m_c_h_element_v_in1(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | node15(c_e_h_1, c_f, s4, s5) | m_c_h_element_v_in2(c_e_h_1, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.21 tff(14517,plain,
% 78.93/51.21 (m_c_h_element_v_in1(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14516, 14489, 14481, 14480])).
% 78.93/51.21 tff(14518,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14519,plain,
% 78.93/51.21 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~node17(c_e_h_1, c_f, s4))) <=> (m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14520,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~node17(c_e_h_1, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4))))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14519])).
% 78.93/51.21 tff(14521,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~node17(c_e_h_1, c_f, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4)))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14520, 14518])).
% 78.93/51.21 tff(14522,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~node17(c_e_h_1, c_f, s4)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14523,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s4) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14522, 14521])).
% 78.93/51.21 tff(14524,plain,
% 78.93/51.21 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s4)) | (~node17(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14523, 541, 14480])).
% 78.93/51.21 tff(14525,plain,
% 78.93/51.21 (~node17(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14524, 14517])).
% 78.93/51.21 tff(14526,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14527,plain,
% 78.93/51.21 ((node17(c_e_h_1, c_f, s4) | node18(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5))) <=> ((~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14528,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s4) | node18(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4)))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14527])).
% 78.93/51.21 tff(14529,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s4) | node18(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14528, 14526])).
% 78.93/51.21 tff(14530,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s4) | node18(c_e_h_1, c_f, s4, s5) | (~node19(c_e_h_1, c_f, s4, s5)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14531,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s4, s5)) | node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14530, 14529])).
% 78.93/51.21 tff(14532,plain,
% 78.93/51.21 (node18(c_e_h_1, c_f, s4, s5) | node17(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14531, 508, 14500])).
% 78.93/51.21 tff(14533,plain,
% 78.93/51.21 (node18(c_e_h_1, c_f, s4, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14532, 14525])).
% 78.93/51.21 tff(14534,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4) | (~node18(c_e_h_1, c_f, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4) | (~node18(c_e_h_1, c_f, s4, s5)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14535,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4) | (~node18(c_e_h_1, c_f, s4, s5)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14536,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s4) | (~node18(c_e_h_1, c_f, s4, s5))),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 78.93/51.21 tff(14537,plain,
% 78.93/51.21 ($false),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14536, 481, 14481, 14482, 14533])).
% 78.93/51.21 tff(14538,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s4) | (~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.21 tff(14539,plain,
% 78.93/51.21 ((~m_c_h_element_v_out(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s4)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14538, 14479])).
% 78.93/51.21 tff(14540,plain,
% 78.93/51.21 (~m_c_h_element_v_out(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14539, 14388])).
% 78.93/51.21 tff(14541,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.21 tff(14542,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s5)), introduced(assumption)).
% 78.93/51.21 tff(14543,assumption,(node15(c_e_h_1, c_f, s5, s6)), introduced(assumption)).
% 78.93/51.21 tff(14544,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node15(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node15(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14545,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node15(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14546,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node15(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 78.93/51.21 tff(14547,plain,
% 78.93/51.21 ($false),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14546, 612, 14542, 14541, 14543])).
% 78.93/51.21 tff(14548,plain,((~node15(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 78.93/51.21 tff(14549,plain,
% 78.93/51.21 (~node15(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14548, 14542, 14541])).
% 78.93/51.21 tff(14550,assumption,(node18(c_e_h_1, c_f, s5, s6)), introduced(assumption)).
% 78.93/51.21 tff(14551,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14552,plain,
% 78.93/51.21 (((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~node18(c_e_h_1, c_f, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14553,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~node18(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6))))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14552])).
% 78.93/51.21 tff(14554,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~node18(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14553, 14551])).
% 78.93/51.21 tff(14555,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~node18(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14556,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | (~node18(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14555, 14554])).
% 78.93/51.21 tff(14557,plain,
% 78.93/51.21 ($false),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14556, 481, 14542, 14541, 14550])).
% 78.93/51.21 tff(14558,plain,((~node18(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 78.93/51.21 tff(14559,plain,
% 78.93/51.21 (~node18(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14558, 14542, 14541])).
% 78.93/51.21 tff(14560,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_f, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14561,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14562,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14561, 14560])).
% 78.93/51.21 tff(14563,plain,
% 78.93/51.21 (node19(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14562, 494, 1343])).
% 78.93/51.21 tff(14564,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14565,plain,
% 78.93/51.21 ((node17(c_e_h_1, c_f, s5) | node18(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6))) <=> (node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14566,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s5) | node18(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14565])).
% 78.93/51.21 tff(14567,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s5) | node18(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14566, 14564])).
% 78.93/51.21 tff(14568,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s5) | node18(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14569,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s5) | (~node19(c_e_h_1, c_f, s5, s6)) | node18(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 78.93/51.21 tff(14570,plain,
% 78.93/51.21 (node17(c_e_h_1, c_f, s5) | node18(c_e_h_1, c_f, s5, s6)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14569, 508, 14563])).
% 78.93/51.21 tff(14571,plain,
% 78.93/51.21 (node17(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14570, 14559])).
% 78.93/51.21 tff(14572,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s5)), introduced(assumption)).
% 78.93/51.21 tff(14573,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14574,plain,
% 78.93/51.21 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~node17(c_e_h_1, c_f, s5))) <=> (m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14575,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~node17(c_e_h_1, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5))))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14574])).
% 78.93/51.21 tff(14576,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~node17(c_e_h_1, c_f, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5)))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14575, 14573])).
% 78.93/51.21 tff(14577,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~node17(c_e_h_1, c_f, s5)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14578,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s5) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 78.93/51.21 tff(14579,plain,
% 78.93/51.21 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s5)) | (~node17(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14578, 541, 14572])).
% 78.93/51.21 tff(14580,plain,
% 78.93/51.21 (~m_c_h_element_v_in1(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14579, 14571])).
% 78.93/51.21 tff(14581,plain,
% 78.93/51.21 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | m_c_h_element_v_in2(c_e_h_1, c_f, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | m_c_h_element_v_in2(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14582,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | m_c_h_element_v_in2(c_e_h_1, c_f, s5))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14583,plain,
% 78.93/51.21 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | m_c_h_element_v_in2(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14582, 14581])).
% 78.93/51.21 tff(14584,plain,
% 78.93/51.21 ((~node16(c_e_h_1, c_f, s5)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14583, 559, 14572])).
% 78.93/51.21 tff(14585,plain,
% 78.93/51.21 (~node16(c_e_h_1, c_f, s5)),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14584, 14580])).
% 78.93/51.21 tff(14586,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s5)), introduced(assumption)).
% 78.93/51.21 tff(14587,assumption,(node14(c_e_h_1, c_f, s5, s6)), introduced(assumption)).
% 78.93/51.21 tff(14588,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14589,plain,
% 78.93/51.21 (((~node14(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(rewrite,[status(thm)],[])).
% 78.93/51.21 tff(14590,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6))))),
% 78.93/51.21 inference(monotonicity,[status(thm)],[14589])).
% 78.93/51.21 tff(14591,plain,
% 78.93/51.21 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.21 inference(transitivity,[status(thm)],[14590, 14588])).
% 78.93/51.21 tff(14592,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s5, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)))),
% 78.93/51.21 inference(quant_inst,[status(thm)],[])).
% 78.93/51.21 tff(14593,plain,
% 78.93/51.21 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5) | (~node14(c_e_h_1, c_f, s5, s6))),
% 78.93/51.21 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 78.93/51.21 tff(14594,plain,
% 78.93/51.21 ($false),
% 78.93/51.21 inference(unit_resolution,[status(thm)],[14593, 575, 14541, 14587, 14586])).
% 78.93/51.22 tff(14595,plain,((~node14(c_e_h_1, c_f, s5, s6)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s5)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14596,plain,
% 78.93/51.22 (~node14(c_e_h_1, c_f, s5, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14595, 14580, 14541])).
% 78.93/51.22 tff(14597,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14598,plain,
% 78.93/51.22 ((node16(c_e_h_1, c_f, s5) | node14(c_e_h_1, c_f, s5, s6) | node15(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6))) <=> (node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14599,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s5) | node14(c_e_h_1, c_f, s5, s6) | node15(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.22 inference(monotonicity,[status(thm)],[14598])).
% 78.93/51.22 tff(14600,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s5) | node14(c_e_h_1, c_f, s5, s6) | node15(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6))),
% 78.93/51.22 inference(transitivity,[status(thm)],[14599, 14597])).
% 78.93/51.22 tff(14601,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s5) | node14(c_e_h_1, c_f, s5, s6) | node15(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14602,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s5, s6) | (~node19(c_e_h_1, c_f, s5, s6)) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 78.93/51.22 tff(14603,plain,
% 78.93/51.22 (node14(c_e_h_1, c_f, s5, s6) | node16(c_e_h_1, c_f, s5) | node15(c_e_h_1, c_f, s5, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14602, 594, 14563])).
% 78.93/51.22 tff(14604,plain,
% 78.93/51.22 ($false),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14603, 14596, 14585, 14549])).
% 78.93/51.22 tff(14605,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14606,plain,
% 78.93/51.22 ((~m_c_h_element_v_out(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s5)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14605, 14540])).
% 78.93/51.22 tff(14607,plain,
% 78.93/51.22 (~m_c_h_element_v_out(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14606, 14382])).
% 78.93/51.22 tff(14608,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.22 tff(14609,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.93/51.22 tff(14610,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.22 tff(14611,assumption,(~node16(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.22 tff(14612,assumption,(node14(c_e_h_1, c_f, s6, s7)), introduced(assumption)).
% 78.93/51.22 tff(14613,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14614,plain,
% 78.93/51.22 (((~node14(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14615,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7))))),
% 78.93/51.22 inference(monotonicity,[status(thm)],[14614])).
% 78.93/51.22 tff(14616,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(transitivity,[status(thm)],[14615, 14613])).
% 78.93/51.22 tff(14617,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14618,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~node14(c_e_h_1, c_f, s6, s7))),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 78.93/51.22 tff(14619,plain,
% 78.93/51.22 ($false),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14618, 575, 14609, 14612, 14608])).
% 78.93/51.22 tff(14620,plain,((~node14(c_e_h_1, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14621,plain,
% 78.93/51.22 (~node14(c_e_h_1, c_f, s6, s7)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14620, 14609, 14608])).
% 78.93/51.22 tff(14622,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_f, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_f, s6, s7))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14623,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_1, c_f, s6, s7))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14624,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_1, c_f, s6, s7)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14623, 14622])).
% 78.93/51.22 tff(14625,plain,
% 78.93/51.22 (node19(c_e_h_1, c_f, s6, s7)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14624, 494, 1685])).
% 78.93/51.22 tff(14626,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14627,plain,
% 78.93/51.22 ((node16(c_e_h_1, c_f, s6) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7))) <=> (node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14628,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s6) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6)))),
% 78.93/51.22 inference(monotonicity,[status(thm)],[14627])).
% 78.93/51.22 tff(14629,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s6) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(transitivity,[status(thm)],[14628, 14626])).
% 78.93/51.22 tff(14630,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s6) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14631,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node16(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 78.93/51.22 tff(14632,plain,
% 78.93/51.22 (node14(c_e_h_1, c_f, s6, s7) | node15(c_e_h_1, c_f, s6, s7) | node16(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14631, 594, 14625])).
% 78.93/51.22 tff(14633,plain,
% 78.93/51.22 (node15(c_e_h_1, c_f, s6, s7)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14632, 14621, 14611])).
% 78.93/51.22 tff(14634,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node15(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node15(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14635,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node15(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14636,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node15(c_e_h_1, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14635, 14634])).
% 78.93/51.22 tff(14637,plain,
% 78.93/51.22 ($false),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14636, 612, 14609, 14610, 14633])).
% 78.93/51.22 tff(14638,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | node16(c_e_h_1, c_f, s6) | m_c_h_element_v_in1(c_e_h_1, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14639,plain,
% 78.93/51.22 (node16(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14638, 14610, 14609, 14608])).
% 78.93/51.22 tff(14640,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.22 tff(14641,assumption,(node16(c_e_h_1, c_f, s6)), introduced(assumption)).
% 78.93/51.22 tff(14642,plain,
% 78.93/51.22 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14643,plain,
% 78.93/51.22 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14644,plain,
% 78.93/51.22 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 78.93/51.22 tff(14645,plain,
% 78.93/51.22 ($false),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14644, 559, 14641, 14608, 14640])).
% 78.93/51.22 tff(14646,plain,((~node16(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | m_c_h_element_v_in2(c_e_h_1, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14647,plain,
% 78.93/51.22 (m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14646, 14639, 14608])).
% 78.93/51.22 tff(14648,assumption,(node18(c_e_h_1, c_f, s6, s7)), introduced(assumption)).
% 78.93/51.22 tff(14649,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14650,plain,
% 78.93/51.22 (((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~node18(c_e_h_1, c_f, s6, s7))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14651,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~node18(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7))))),
% 78.93/51.22 inference(monotonicity,[status(thm)],[14650])).
% 78.93/51.22 tff(14652,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~node18(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(transitivity,[status(thm)],[14651, 14649])).
% 78.93/51.22 tff(14653,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~node18(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14654,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | (~node18(c_e_h_1, c_f, s6, s7))),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14653, 14652])).
% 78.93/51.22 tff(14655,plain,
% 78.93/51.22 ($false),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14654, 481, 14609, 14610, 14648])).
% 78.93/51.22 tff(14656,plain,((~node18(c_e_h_1, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.22 tff(14657,plain,
% 78.93/51.22 (~node18(c_e_h_1, c_f, s6, s7)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14656, 14610, 14609])).
% 78.93/51.22 tff(14658,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14659,plain,
% 78.93/51.22 ((node17(c_e_h_1, c_f, s6) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7))) <=> (node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(rewrite,[status(thm)],[])).
% 78.93/51.22 tff(14660,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s6) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6)))),
% 78.93/51.22 inference(monotonicity,[status(thm)],[14659])).
% 78.93/51.22 tff(14661,plain,
% 78.93/51.22 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s6) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6))),
% 78.93/51.22 inference(transitivity,[status(thm)],[14660, 14658])).
% 78.93/51.22 tff(14662,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s6) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)))),
% 78.93/51.22 inference(quant_inst,[status(thm)],[])).
% 78.93/51.22 tff(14663,plain,
% 78.93/51.22 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s6, s7) | (~node19(c_e_h_1, c_f, s6, s7)) | node17(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 78.93/51.22 tff(14664,plain,
% 78.93/51.22 (node18(c_e_h_1, c_f, s6, s7) | node17(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14663, 508, 14625])).
% 78.93/51.22 tff(14665,plain,
% 78.93/51.22 (node17(c_e_h_1, c_f, s6)),
% 78.93/51.22 inference(unit_resolution,[status(thm)],[14664, 14657])).
% 78.93/51.22 tff(14666,plain,
% 78.93/51.22 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14667,plain,
% 78.93/51.23 ((m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | (~node17(c_e_h_1, c_f, s6))) <=> ((~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14668,plain,
% 78.93/51.23 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | (~node17(c_e_h_1, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6))))),
% 78.93/51.23 inference(monotonicity,[status(thm)],[14667])).
% 78.93/51.23 tff(14669,plain,
% 78.93/51.23 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | (~node17(c_e_h_1, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)))),
% 78.93/51.23 inference(transitivity,[status(thm)],[14668, 14666])).
% 78.93/51.23 tff(14670,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | (~node17(c_e_h_1, c_f, s6)))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14671,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14670, 14669])).
% 78.93/51.23 tff(14672,plain,
% 78.93/51.23 ($false),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14671, 1172, 14665, 14608, 14647])).
% 78.93/51.23 tff(14673,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s6) | m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 78.93/51.23 tff(14674,plain,
% 78.93/51.23 (m_c_h_element_v_in1(c_e_h_1, c_f, s6) | (~m_c_h_element_v_out(c_e_h_1, c_f, s7))),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14673, 14607])).
% 78.93/51.23 tff(14675,plain,
% 78.93/51.23 (~m_c_h_element_v_out(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14674, 14375])).
% 78.93/51.23 tff(14676,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.93/51.23 tff(14677,plain,
% 78.93/51.23 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14678,plain,
% 78.93/51.23 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14679,plain,
% 78.93/51.23 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 78.93/51.23 tff(14680,plain,
% 78.93/51.23 ($false),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14679, 1126, 14676, 13503])).
% 78.93/51.23 tff(14681,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 78.93/51.23 tff(14682,plain,
% 78.93/51.23 (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14681, 14289])).
% 78.93/51.23 tff(14683,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.93/51.23 tff(14684,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.93/51.23 tff(14685,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.93/51.23 tff(14686,assumption,(node18(c_e_h_1, c_f, s7, s8)), introduced(assumption)).
% 78.93/51.23 tff(14687,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14688,plain,
% 78.93/51.23 (((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~node18(c_e_h_1, c_f, s7, s8))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14689,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~node18(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8))))),
% 78.93/51.23 inference(monotonicity,[status(thm)],[14688])).
% 78.93/51.23 tff(14690,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~node18(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(transitivity,[status(thm)],[14689, 14687])).
% 78.93/51.23 tff(14691,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~node18(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14692,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node18(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14691, 14690])).
% 78.93/51.23 tff(14693,plain,
% 78.93/51.23 ($false),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14692, 481, 14684, 14683, 14686])).
% 78.93/51.23 tff(14694,plain,((~node18(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 78.93/51.23 tff(14695,plain,
% 78.93/51.23 (~node18(c_e_h_1, c_f, s7, s8)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14694, 14683, 14684])).
% 78.93/51.23 tff(14696,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14697,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14698,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_1, c_f, s7, s8)),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 78.93/51.23 tff(14699,plain,
% 78.93/51.23 (node19(c_e_h_1, c_f, s7, s8)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14698, 494, 2456])).
% 78.93/51.23 tff(14700,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14701,plain,
% 78.93/51.23 ((node17(c_e_h_1, c_f, s7) | node18(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8))) <=> (node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14702,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s7) | node18(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(monotonicity,[status(thm)],[14701])).
% 78.93/51.23 tff(14703,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s7) | node18(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(transitivity,[status(thm)],[14702, 14700])).
% 78.93/51.23 tff(14704,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s7) | node18(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14705,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s7) | (~node19(c_e_h_1, c_f, s7, s8)) | node18(c_e_h_1, c_f, s7, s8)),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14704, 14703])).
% 78.93/51.23 tff(14706,plain,
% 78.93/51.23 (node17(c_e_h_1, c_f, s7) | node18(c_e_h_1, c_f, s7, s8)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14705, 508, 14699])).
% 78.93/51.23 tff(14707,plain,
% 78.93/51.23 (node17(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14706, 14695])).
% 78.93/51.23 tff(14708,assumption,(node17(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.93/51.23 tff(14709,plain,
% 78.93/51.23 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s7) | (~node17(c_e_h_1, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s7) | (~node17(c_e_h_1, c_f, s7)))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14710,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s7) | (~node17(c_e_h_1, c_f, s7)))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14711,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s7) | (~node17(c_e_h_1, c_f, s7))),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 78.93/51.23 tff(14712,plain,
% 78.93/51.23 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14711, 541, 14708])).
% 78.93/51.23 tff(14713,plain,
% 78.93/51.23 (~m_c_h_element_v_in1(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14712, 14685])).
% 78.93/51.23 tff(14714,assumption,(~node15(c_e_h_1, c_f, s7, s8)), introduced(assumption)).
% 78.93/51.23 tff(14715,plain,
% 78.93/51.23 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | m_c_h_element_v_in2(c_e_h_1, c_f, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | m_c_h_element_v_in2(c_e_h_1, c_f, s7))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14716,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | m_c_h_element_v_in2(c_e_h_1, c_f, s7))),
% 78.93/51.23 inference(quant_inst,[status(thm)],[])).
% 78.93/51.23 tff(14717,plain,
% 78.93/51.23 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | m_c_h_element_v_in2(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(modus_ponens,[status(thm)],[14716, 14715])).
% 78.93/51.23 tff(14718,plain,
% 78.93/51.23 (~node16(c_e_h_1, c_f, s7)),
% 78.93/51.23 inference(unit_resolution,[status(thm)],[14717, 559, 14685, 14713])).
% 78.93/51.23 tff(14719,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14720,plain,
% 78.93/51.23 ((node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8))) <=> ((~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(rewrite,[status(thm)],[])).
% 78.93/51.23 tff(14721,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8)))),
% 78.93/51.23 inference(monotonicity,[status(thm)],[14720])).
% 78.93/51.23 tff(14722,plain,
% 78.93/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8))),
% 78.93/51.23 inference(transitivity,[status(thm)],[14721, 14719])).
% 78.93/51.23 tff(14723,plain,
% 78.93/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8) | (~node19(c_e_h_1, c_f, s7, s8)))),
% 78.97/51.23 inference(quant_inst,[status(thm)],[])).
% 78.97/51.23 tff(14724,plain,
% 78.97/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s7, s8)) | node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8)),
% 78.97/51.23 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 78.97/51.23 tff(14725,plain,
% 78.97/51.23 (node16(c_e_h_1, c_f, s7) | node14(c_e_h_1, c_f, s7, s8) | node15(c_e_h_1, c_f, s7, s8)),
% 78.97/51.23 inference(unit_resolution,[status(thm)],[14724, 594, 14699])).
% 78.97/51.23 tff(14726,plain,
% 78.97/51.23 (node14(c_e_h_1, c_f, s7, s8)),
% 78.97/51.23 inference(unit_resolution,[status(thm)],[14725, 14718, 14714])).
% 78.97/51.23 tff(14727,plain,
% 78.97/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.23 inference(rewrite,[status(thm)],[])).
% 78.97/51.23 tff(14728,plain,
% 78.97/51.23 (((~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.23 inference(rewrite,[status(thm)],[])).
% 78.97/51.23 tff(14729,plain,
% 78.97/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7)))),
% 78.97/51.23 inference(monotonicity,[status(thm)],[14728])).
% 78.97/51.23 tff(14730,plain,
% 78.97/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.23 inference(transitivity,[status(thm)],[14729, 14727])).
% 78.97/51.23 tff(14731,plain,
% 78.97/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)))),
% 78.97/51.23 inference(quant_inst,[status(thm)],[])).
% 78.97/51.23 tff(14732,plain,
% 78.97/51.23 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node14(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7)),
% 78.97/51.23 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 78.97/51.23 tff(14733,plain,
% 78.97/51.23 ($false),
% 78.97/51.23 inference(unit_resolution,[status(thm)],[14732, 575, 14683, 14726, 14713])).
% 78.97/51.23 tff(14734,plain,(m_c_h_element_v_in2(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | node15(c_e_h_1, c_f, s7, s8) | (~node17(c_e_h_1, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.23 tff(14735,plain,
% 78.97/51.23 (node15(c_e_h_1, c_f, s7, s8)),
% 78.97/51.23 inference(unit_resolution,[status(thm)],[14734, 14707, 14683, 14685])).
% 78.97/51.23 tff(14736,plain,
% 78.97/51.23 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node15(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node15(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14737,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node15(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14738,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | (~node15(c_e_h_1, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7)),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 78.97/51.24 tff(14739,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14738, 612, 14684, 14683, 14735])).
% 78.97/51.24 tff(14740,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s7) | m_c_h_element_v_in2(c_e_h_1, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 78.97/51.24 tff(14741,plain,
% 78.97/51.24 (m_c_h_element_v_in2(c_e_h_1, c_f, s7)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14740, 14684, 14683])).
% 78.97/51.24 tff(14742,plain,
% 78.97/51.24 (~node18(c_e_h_1, c_f, s7, s8)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14694, 14684, 14683])).
% 78.97/51.24 tff(14743,plain,
% 78.97/51.24 (node17(c_e_h_1, c_f, s7)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14706, 14742])).
% 78.97/51.24 tff(14744,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s7)), introduced(assumption)).
% 78.97/51.24 tff(14745,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14746,plain,
% 78.97/51.24 ((m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14747,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7)))),
% 78.97/51.24 inference(monotonicity,[status(thm)],[14746])).
% 78.97/51.24 tff(14748,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(transitivity,[status(thm)],[14747, 14745])).
% 78.97/51.24 tff(14749,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14750,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7)) | m_c_h_element_v_in1(c_e_h_1, c_f, s7)),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 78.97/51.24 tff(14751,plain,
% 78.97/51.24 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s7)) | (~node17(c_e_h_1, c_f, s7))),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14750, 1172, 14744])).
% 78.97/51.24 tff(14752,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14751, 14743, 14741])).
% 78.97/51.24 tff(14753,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s7) | m_c_h_element_v_in1(c_e_h_1, c_f, s7) | (~m_c_h_element_v_out(c_e_h_1, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.24 tff(14754,plain,
% 78.97/51.24 (~m_c_h_element_v_out(c_e_h_1, c_f, s8)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14753, 14682, 14675])).
% 78.97/51.24 tff(14755,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14756,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s9)), introduced(assumption)).
% 78.97/51.24 tff(14757,assumption,(node18(c_e_h_1, c_f, s8, s9)), introduced(assumption)).
% 78.97/51.24 tff(14758,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~node18(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~node18(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14759,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~node18(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14760,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~node18(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 78.97/51.24 tff(14761,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14760, 481, 14755, 14756, 14757])).
% 78.97/51.24 tff(14762,plain,((~node18(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.24 tff(14763,plain,
% 78.97/51.24 (~node18(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14762, 14756, 14755])).
% 78.97/51.24 tff(14764,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14765,assumption,(~node16(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14766,assumption,(node15(c_e_h_1, c_f, s8, s9)), introduced(assumption)).
% 78.97/51.24 tff(14767,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | (~node15(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | (~node15(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14768,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | (~node15(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14769,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | (~node15(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8)),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 78.97/51.24 tff(14770,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14769, 612, 14755, 14756, 14766])).
% 78.97/51.24 tff(14771,plain,((~node15(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.24 tff(14772,plain,
% 78.97/51.24 (~node15(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14771, 14756, 14755])).
% 78.97/51.24 tff(14773,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_f, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14774,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14775,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 78.97/51.24 tff(14776,plain,
% 78.97/51.24 (node19(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14775, 494, 3713])).
% 78.97/51.24 tff(14777,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14778,plain,
% 78.97/51.24 ((node16(c_e_h_1, c_f, s8) | node14(c_e_h_1, c_f, s8, s9) | node15(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9))) <=> (node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14779,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s8) | node14(c_e_h_1, c_f, s8, s9) | node15(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(monotonicity,[status(thm)],[14778])).
% 78.97/51.24 tff(14780,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s8) | node14(c_e_h_1, c_f, s8, s9) | node15(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(transitivity,[status(thm)],[14779, 14777])).
% 78.97/51.24 tff(14781,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s8) | node14(c_e_h_1, c_f, s8, s9) | node15(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14782,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | (~node19(c_e_h_1, c_f, s8, s9)) | node15(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14781, 14780])).
% 78.97/51.24 tff(14783,plain,
% 78.97/51.24 (node14(c_e_h_1, c_f, s8, s9) | node16(c_e_h_1, c_f, s8) | node15(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14782, 594, 14776])).
% 78.97/51.24 tff(14784,plain,
% 78.97/51.24 (node14(c_e_h_1, c_f, s8, s9)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14783, 14772, 14765])).
% 78.97/51.24 tff(14785,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14786,plain,
% 78.97/51.24 (((~node14(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14787,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9))))),
% 78.97/51.24 inference(monotonicity,[status(thm)],[14786])).
% 78.97/51.24 tff(14788,plain,
% 78.97/51.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.24 inference(transitivity,[status(thm)],[14787, 14785])).
% 78.97/51.24 tff(14789,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14790,plain,
% 78.97/51.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~node14(c_e_h_1, c_f, s8, s9))),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 78.97/51.24 tff(14791,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14790, 575, 14756, 14784, 14764])).
% 78.97/51.24 tff(14792,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | node16(c_e_h_1, c_f, s8) | m_c_h_element_v_out(c_e_h_1, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 78.97/51.24 tff(14793,plain,
% 78.97/51.24 (node16(c_e_h_1, c_f, s8)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14792, 14756, 14764, 14755])).
% 78.97/51.24 tff(14794,assumption,(node17(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14795,assumption,(node16(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14796,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s8)), introduced(assumption)).
% 78.97/51.24 tff(14797,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14798,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14799,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14798, 14797])).
% 78.97/51.24 tff(14800,plain,
% 78.97/51.24 (m_c_h_element_v_in1(c_e_h_1, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14799, 1172, 14794])).
% 78.97/51.24 tff(14801,plain,
% 78.97/51.24 (m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14800, 14796])).
% 78.97/51.24 tff(14802,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14803,plain,
% 78.97/51.24 (((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8))) <=> ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(rewrite,[status(thm)],[])).
% 78.97/51.24 tff(14804,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8))))),
% 78.97/51.24 inference(monotonicity,[status(thm)],[14803])).
% 78.97/51.24 tff(14805,plain,
% 78.97/51.24 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(transitivity,[status(thm)],[14804, 14802])).
% 78.97/51.24 tff(14806,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)))),
% 78.97/51.24 inference(quant_inst,[status(thm)],[])).
% 78.97/51.24 tff(14807,plain,
% 78.97/51.24 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 78.97/51.24 tff(14808,plain,
% 78.97/51.24 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8))),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14807, 1192, 14795])).
% 78.97/51.24 tff(14809,plain,
% 78.97/51.24 ($false),
% 78.97/51.24 inference(unit_resolution,[status(thm)],[14808, 14801, 14796])).
% 78.97/51.24 tff(14810,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | (~node16(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.25 tff(14811,plain,
% 78.97/51.25 (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14810, 14795, 14794])).
% 78.97/51.25 tff(14812,plain,
% 78.97/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(rewrite,[status(thm)],[])).
% 78.97/51.25 tff(14813,plain,
% 78.97/51.25 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8) | (~node17(c_e_h_1, c_f, s8))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(rewrite,[status(thm)],[])).
% 78.97/51.25 tff(14814,plain,
% 78.97/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8) | (~node17(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)))),
% 78.97/51.25 inference(monotonicity,[status(thm)],[14813])).
% 78.97/51.25 tff(14815,plain,
% 78.97/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8) | (~node17(c_e_h_1, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(transitivity,[status(thm)],[14814, 14812])).
% 78.97/51.25 tff(14816,plain,
% 78.97/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8) | (~node17(c_e_h_1, c_f, s8)))),
% 78.97/51.25 inference(quant_inst,[status(thm)],[])).
% 78.97/51.25 tff(14817,plain,
% 78.97/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 78.97/51.25 tff(14818,plain,
% 78.97/51.25 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14817, 541, 14794])).
% 78.97/51.25 tff(14819,plain,
% 78.97/51.25 (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14818, 14811])).
% 78.97/51.25 tff(14820,plain,
% 78.97/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(rewrite,[status(thm)],[])).
% 78.97/51.25 tff(14821,plain,
% 78.97/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(quant_inst,[status(thm)],[])).
% 78.97/51.25 tff(14822,plain,
% 78.97/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s8)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(modus_ponens,[status(thm)],[14821, 14820])).
% 78.97/51.25 tff(14823,plain,
% 78.97/51.25 (m_c_h_element_v_in1(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14822, 559, 14795])).
% 78.97/51.25 tff(14824,plain,
% 78.97/51.25 ($false),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14823, 14819, 14811])).
% 78.97/51.25 tff(14825,plain,((~node16(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 78.97/51.25 tff(14826,plain,
% 78.97/51.25 (~node17(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14825, 14793])).
% 78.97/51.25 tff(14827,plain,
% 78.97/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(rewrite,[status(thm)],[])).
% 78.97/51.25 tff(14828,plain,
% 78.97/51.25 ((node17(c_e_h_1, c_f, s8) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9))) <=> (node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(rewrite,[status(thm)],[])).
% 78.97/51.25 tff(14829,plain,
% 78.97/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s8) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8)))),
% 78.97/51.25 inference(monotonicity,[status(thm)],[14828])).
% 78.97/51.25 tff(14830,plain,
% 78.97/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s8) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8))),
% 78.97/51.25 inference(transitivity,[status(thm)],[14829, 14827])).
% 78.97/51.25 tff(14831,plain,
% 78.97/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s8) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)))),
% 78.97/51.25 inference(quant_inst,[status(thm)],[])).
% 78.97/51.25 tff(14832,plain,
% 78.97/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s8, s9) | (~node19(c_e_h_1, c_f, s8, s9)) | node17(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 78.97/51.25 tff(14833,plain,
% 78.97/51.25 (node18(c_e_h_1, c_f, s8, s9) | node17(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14832, 508, 14776])).
% 78.97/51.25 tff(14834,plain,
% 78.97/51.25 ($false),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14833, 14826, 14763])).
% 78.97/51.25 tff(14835,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | m_c_h_element_v_in1(c_e_h_1, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 78.97/51.25 tff(14836,plain,
% 78.97/51.25 ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14835, 14754])).
% 78.97/51.25 tff(14837,plain,
% 78.97/51.25 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 78.97/51.25 inference(unit_resolution,[status(thm)],[14836, 14368])).
% 78.97/51.25 tff(14838,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.97/51.25 tff(14839,plain,
% 78.97/51.25 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14840,plain,
% 78.99/51.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14841,plain,
% 78.99/51.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 78.99/51.25 tff(14842,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14841, 966, 12659, 14838])).
% 78.99/51.25 tff(14843,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14844,plain,
% 78.99/51.25 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14843, 12659])).
% 78.99/51.25 tff(14845,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.99/51.25 tff(14846,assumption,(node20(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.99/51.25 tff(14847,plain,
% 78.99/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14848,plain,
% 78.99/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14849,plain,
% 78.99/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 78.99/51.25 tff(14850,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14849, 22, 14846, 14845])).
% 78.99/51.25 tff(14851,plain,((~node20(c_e_h_1, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14852,plain,
% 78.99/51.25 (~node20(c_e_h_1, c_d, s8)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14851, 14844])).
% 78.99/51.25 tff(14853,assumption,(~node20(c_e_h_1, c_d, s8)), introduced(assumption)).
% 78.99/51.25 tff(14854,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s9)), introduced(assumption)).
% 78.99/51.25 tff(14855,assumption,(node21(c_e_h_1, c_d, s8, s9)), introduced(assumption)).
% 78.99/51.25 tff(14856,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9)))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14857,plain,
% 78.99/51.25 ((node20(c_e_h_1, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9)))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14858,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9))))),
% 78.99/51.25 inference(monotonicity,[status(thm)],[14857])).
% 78.99/51.25 tff(14859,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9)))),
% 78.99/51.25 inference(transitivity,[status(thm)],[14858, 14856])).
% 78.99/51.25 tff(14860,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s8, s9)))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14861,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8) | (~node21(c_e_h_1, c_d, s8, s9))),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 78.99/51.25 tff(14862,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14861, 348, 14854, 14855, 14853])).
% 78.99/51.25 tff(14863,plain,((~node21(c_e_h_1, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | node20(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14864,plain,
% 78.99/51.25 (~node21(c_e_h_1, c_d, s8, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14863, 14854, 14853])).
% 78.99/51.25 tff(14865,assumption,(node22(c_e_h_1, c_d, s8, s9)), introduced(assumption)).
% 78.99/51.25 tff(14866,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node22(c_e_h_1, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node22(c_e_h_1, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14867,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node22(c_e_h_1, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14868,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | (~node22(c_e_h_1, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 78.99/51.25 tff(14869,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14868, 437, 14854, 14865, 14361])).
% 78.99/51.25 tff(14870,plain,((~node22(c_e_h_1, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14871,plain,
% 78.99/51.25 (~node22(c_e_h_1, c_d, s8, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14870, 14854, 14361])).
% 78.99/51.25 tff(14872,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_d, s8, s9) | node22(c_e_h_1, c_d, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_d, s8, s9) | node22(c_e_h_1, c_d, s8, s9))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14873,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_d, s8, s9) | node22(c_e_h_1, c_d, s8, s9))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14874,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_d, s8, s9) | node22(c_e_h_1, c_d, s8, s9)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 78.99/51.25 tff(14875,plain,
% 78.99/51.25 (node21(c_e_h_1, c_d, s8, s9) | node22(c_e_h_1, c_d, s8, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14874, 383, 3713])).
% 78.99/51.25 tff(14876,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14875, 14871, 14864])).
% 78.99/51.25 tff(14877,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8) | node20(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14878,plain,
% 78.99/51.25 (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14877, 14852, 14360])).
% 78.99/51.25 tff(14879,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s9)), introduced(assumption)).
% 78.99/51.25 tff(14880,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s9)), introduced(assumption)).
% 78.99/51.25 tff(14881,plain,
% 78.99/51.25 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14882,plain,
% 78.99/51.25 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14883,plain,
% 78.99/51.25 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 78.99/51.25 tff(14884,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14883, 1126, 14880, 14879])).
% 78.99/51.25 tff(14885,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14886,plain,
% 78.99/51.25 (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14885, 14878])).
% 78.99/51.25 tff(14887,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s9)), introduced(assumption)).
% 78.99/51.25 tff(14888,assumption,(node18(c_e_h_1, c_f, s9, s10)), introduced(assumption)).
% 78.99/51.25 tff(14889,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14890,plain,
% 78.99/51.25 (((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~node18(c_e_h_1, c_f, s9, s10))) <=> ((~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14891,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~node18(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10))))),
% 78.99/51.25 inference(monotonicity,[status(thm)],[14890])).
% 78.99/51.25 tff(14892,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~node18(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))),
% 78.99/51.25 inference(transitivity,[status(thm)],[14891, 14889])).
% 78.99/51.25 tff(14893,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~node18(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14894,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10))),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 78.99/51.25 tff(14895,plain,
% 78.99/51.25 ($false),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14894, 481, 14888, 12658, 14887])).
% 78.99/51.25 tff(14896,plain,((~node18(c_e_h_1, c_f, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.25 tff(14897,plain,
% 78.99/51.25 (~node18(c_e_h_1, c_f, s9, s10)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14896, 14887, 12658])).
% 78.99/51.25 tff(14898,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s9)), introduced(assumption)).
% 78.99/51.25 tff(14899,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s9)), introduced(assumption)).
% 78.99/51.25 tff(14900,assumption,(~node15(c_e_h_1, c_f, s9, s10)), introduced(assumption)).
% 78.99/51.25 tff(14901,plain,
% 78.99/51.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14902,plain,
% 78.99/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14903,plain,
% 78.99/51.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 78.99/51.25 tff(14904,plain,
% 78.99/51.25 ((~node16(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14903, 559, 14898])).
% 78.99/51.25 tff(14905,plain,
% 78.99/51.25 (~node16(c_e_h_1, c_f, s9)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14904, 14899])).
% 78.99/51.25 tff(14906,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_f, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_f, s9, s10))),
% 78.99/51.25 inference(rewrite,[status(thm)],[])).
% 78.99/51.25 tff(14907,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_1, c_f, s9, s10))),
% 78.99/51.25 inference(quant_inst,[status(thm)],[])).
% 78.99/51.25 tff(14908,plain,
% 78.99/51.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_1, c_f, s9, s10)),
% 78.99/51.25 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 78.99/51.25 tff(14909,plain,
% 78.99/51.25 (node19(c_e_h_1, c_f, s9, s10)),
% 78.99/51.25 inference(unit_resolution,[status(thm)],[14908, 494, 6039])).
% 78.99/51.25 tff(14910,plain,
% 78.99/51.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14911,plain,
% 78.99/51.26 ((node16(c_e_h_1, c_f, s9) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10))) <=> (node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14912,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s9) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14911])).
% 78.99/51.26 tff(14913,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s9) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14912, 14910])).
% 78.99/51.26 tff(14914,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s9) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14915,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)) | node16(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 78.99/51.26 tff(14916,plain,
% 78.99/51.26 (node14(c_e_h_1, c_f, s9, s10) | node15(c_e_h_1, c_f, s9, s10) | node16(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14915, 594, 14909])).
% 78.99/51.26 tff(14917,plain,
% 78.99/51.26 (node14(c_e_h_1, c_f, s9, s10)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14916, 14905, 14900])).
% 78.99/51.26 tff(14918,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14919,plain,
% 78.99/51.26 (((~node14(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10))) <=> (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14920,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10))))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14919])).
% 78.99/51.26 tff(14921,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14920, 14918])).
% 78.99/51.26 tff(14922,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14923,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node14(c_e_h_1, c_f, s9, s10))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 78.99/51.26 tff(14924,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14923, 575, 14917, 14899, 12658])).
% 78.99/51.26 tff(14925,plain,(m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | node15(c_e_h_1, c_f, s9, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14926,plain,
% 78.99/51.26 (node15(c_e_h_1, c_f, s9, s10)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14925, 12658, 14898, 14899])).
% 78.99/51.26 tff(14927,assumption,(node15(c_e_h_1, c_f, s9, s10)), introduced(assumption)).
% 78.99/51.26 tff(14928,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node15(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node15(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14929,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node15(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14930,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | (~node15(c_e_h_1, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 78.99/51.26 tff(14931,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14930, 612, 14927, 12658, 14887])).
% 78.99/51.26 tff(14932,plain,((~node15(c_e_h_1, c_f, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14933,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14932, 14926, 12658, 14887])).
% 78.99/51.26 tff(14934,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | m_c_h_element_v_in1(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14935,plain,
% 78.99/51.26 (m_c_h_element_v_in1(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14934, 14887, 14898, 12658])).
% 78.99/51.26 tff(14936,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14937,plain,
% 78.99/51.26 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9))) <=> (m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14938,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9))))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14937])).
% 78.99/51.26 tff(14939,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14938, 14936])).
% 78.99/51.26 tff(14940,plain,
% 78.99/51.26 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14941,plain,
% 78.99/51.26 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14940, 14939])).
% 78.99/51.26 tff(14942,plain,
% 78.99/51.26 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14941, 541, 14898])).
% 78.99/51.26 tff(14943,plain,
% 78.99/51.26 (~node17(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14942, 14935])).
% 78.99/51.26 tff(14944,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14945,plain,
% 78.99/51.26 ((node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10))) <=> ((~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14946,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14945])).
% 78.99/51.26 tff(14947,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14946, 14944])).
% 78.99/51.26 tff(14948,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10) | (~node19(c_e_h_1, c_f, s9, s10)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14949,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s9, s10)) | node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10)),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 78.99/51.26 tff(14950,plain,
% 78.99/51.26 (node17(c_e_h_1, c_f, s9) | node18(c_e_h_1, c_f, s9, s10)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14949, 508, 14909])).
% 78.99/51.26 tff(14951,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14950, 14943, 14897])).
% 78.99/51.26 tff(14952,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s9) | m_c_h_element_v_in2(c_e_h_1, c_f, s9) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14953,plain,
% 78.99/51.26 (m_c_h_element_v_in2(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14952, 12658, 14887])).
% 78.99/51.26 tff(14954,plain,
% 78.99/51.26 (~node18(c_e_h_1, c_f, s9, s10)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14896, 12658, 14887])).
% 78.99/51.26 tff(14955,plain,
% 78.99/51.26 (node17(c_e_h_1, c_f, s9)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14950, 14954])).
% 78.99/51.26 tff(14956,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14957,plain,
% 78.99/51.26 ((m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14958,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9))))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14957])).
% 78.99/51.26 tff(14959,plain,
% 78.99/51.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14958, 14956])).
% 78.99/51.26 tff(14960,plain,
% 78.99/51.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | (~node17(c_e_h_1, c_f, s9)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14961,plain,
% 78.99/51.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | (~node17(c_e_h_1, c_f, s9))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14960, 14959])).
% 78.99/51.26 tff(14962,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14961, 1172, 14955, 14899, 14953])).
% 78.99/51.26 tff(14963,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14964,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14963, 14886, 14837, 12658])).
% 78.99/51.26 tff(14965,plain,(m_mutex_h_half_v_out(c_e_h_1, c_b, s8) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14966,plain,
% 78.99/51.26 (m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14965, 12658])).
% 78.99/51.26 tff(14967,assumption,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)), introduced(assumption)).
% 78.99/51.26 tff(14968,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s8)), introduced(assumption)).
% 78.99/51.26 tff(14969,plain,
% 78.99/51.26 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))))),
% 78.99/51.26 inference(bind,[status(th)],[])).
% 78.99/51.26 tff(14970,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(quant_intro,[status(thm)],[14969])).
% 78.99/51.26 tff(14971,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14972,plain,
% 78.99/51.26 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((((~trans(X, Y)) | (~trans(X, Y))) | (~m_mutex_h_half_v_out(I0, I1, Y))) <=> ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)))), (((((~trans(X, Y)) | (~trans(X, Y))) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> (((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))))), rewrite((((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))), (((((~trans(X, Y)) | (~trans(X, Y))) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))))),
% 78.99/51.26 inference(bind,[status(th)],[])).
% 78.99/51.26 tff(14973,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((((~trans(X, Y)) | (~trans(X, Y))) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(quant_intro,[status(thm)],[14972])).
% 78.99/51.26 tff(14974,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((((~trans(X, Y)) | (~trans(X, Y))) | (~m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_mutex_h_half_7')).
% 78.99/51.26 tff(14975,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 78.99/51.26 tff(14976,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14975, 14971])).
% 78.99/51.26 tff(14977,plain,(
% 78.99/51.26 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(skolemize,[status(sab)],[14976])).
% 78.99/51.26 tff(14978,plain,
% 78.99/51.26 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14977, 14970])).
% 78.99/51.26 tff(14979,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14980,plain,
% 78.99/51.26 (((~trans(s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8))) <=> ((~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 78.99/51.26 inference(rewrite,[status(thm)],[])).
% 78.99/51.26 tff(14981,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))))),
% 78.99/51.26 inference(monotonicity,[status(thm)],[14980])).
% 78.99/51.26 tff(14982,plain,
% 78.99/51.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 78.99/51.26 inference(transitivity,[status(thm)],[14981, 14979])).
% 78.99/51.26 tff(14983,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)))),
% 78.99/51.26 inference(quant_inst,[status(thm)],[])).
% 78.99/51.26 tff(14984,plain,
% 78.99/51.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s7, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 78.99/51.26 inference(modus_ponens,[status(thm)],[14983, 14982])).
% 78.99/51.26 tff(14985,plain,
% 78.99/51.26 ($false),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14984, 14978, 2456, 14968, 14967])).
% 78.99/51.26 tff(14986,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.26 tff(14987,plain,
% 78.99/51.26 (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)),
% 78.99/51.26 inference(unit_resolution,[status(thm)],[14986, 14966])).
% 78.99/51.26 tff(14988,assumption,(~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)), introduced(assumption)).
% 78.99/51.26 tff(14989,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), introduced(assumption)).
% 78.99/51.26 tff(14990,plain,
% 78.99/51.26 (^[I0: $i, X: $i] : refl(((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X)) <=> ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X)))),
% 78.99/51.26 inference(bind,[status(th)],[])).
% 78.99/51.26 tff(14991,plain,
% 78.99/51.26 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.26 inference(quant_intro,[status(thm)],[14990])).
% 78.99/51.26 tff(14992,plain,
% 78.99/51.26 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(14993,plain,
% 78.99/51.27 (^[I0: $i, X: $i] : rewrite((m_mutex_h_half_v_other_h_out(I0, c_b, X) | (~m_mutex_h_half_v_out(I0, c_a, X))) <=> ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X)))),
% 78.99/51.27 inference(bind,[status(th)],[])).
% 78.99/51.27 tff(14994,plain,
% 78.99/51.27 (![I0: $i, X: $i] : (m_mutex_h_half_v_other_h_out(I0, c_b, X) | (~m_mutex_h_half_v_out(I0, c_a, X))) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(quant_intro,[status(thm)],[14993])).
% 78.99/51.27 tff(14995,axiom,(![I0: $i, X: $i] : (m_mutex_h_half_v_other_h_out(I0, c_b, X) | (~m_mutex_h_half_v_out(I0, c_a, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_8')).
% 78.99/51.27 tff(14996,plain,
% 78.99/51.27 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[14995, 14994])).
% 78.99/51.27 tff(14997,plain,
% 78.99/51.27 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[14996, 14992])).
% 78.99/51.27 tff(14998,plain,(
% 78.99/51.27 ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(skolemize,[status(sab)],[14997])).
% 78.99/51.27 tff(14999,plain,
% 78.99/51.27 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[14998, 14991])).
% 78.99/51.27 tff(15000,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15001,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15002,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 78.99/51.27 tff(15003,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15002, 14999, 14989, 14988])).
% 78.99/51.27 tff(15004,plain,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15005,plain,
% 78.99/51.27 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15004, 14987])).
% 78.99/51.27 tff(15006,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s5)), introduced(assumption)).
% 78.99/51.27 tff(15007,assumption,(~m_user_v_req(c_e_h_1, c_u, s4)), introduced(assumption)).
% 78.99/51.27 tff(15008,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15009,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15010,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s3)) | m_and_h_gate_v_out(c_e_h_1, c_r, s3)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 78.99/51.27 tff(15011,plain,
% 78.99/51.27 (~m_user_v_ack(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15010, 7367, 9297])).
% 78.99/51.27 tff(15012,assumption,(m_user_v_req(c_e_h_1, c_u, s3)), introduced(assumption)).
% 78.99/51.27 tff(15013,assumption,(~m_user_v_ack(c_e_h_1, c_u, s3)), introduced(assumption)).
% 78.99/51.27 tff(15014,assumption,(node7(c_e_h_1, c_u, s3, s4)), introduced(assumption)).
% 78.99/51.27 tff(15015,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15016,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15017,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 78.99/51.27 tff(15018,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15017, 7383, 15014, 15013, 15007])).
% 78.99/51.27 tff(15019,plain,((~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s4)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15020,plain,
% 78.99/51.27 (~node7(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15019, 15007, 15013])).
% 78.99/51.27 tff(15021,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s3, s4)) | node7(c_e_h_1, c_u, s3, s4) | node8(c_e_h_1, c_u, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s3, s4)) | node7(c_e_h_1, c_u, s3, s4) | node8(c_e_h_1, c_u, s3, s4))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15022,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s3, s4)) | node7(c_e_h_1, c_u, s3, s4) | node8(c_e_h_1, c_u, s3, s4))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15023,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s3, s4)) | node7(c_e_h_1, c_u, s3, s4) | node8(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 78.99/51.27 tff(15024,plain,
% 78.99/51.27 (node7(c_e_h_1, c_u, s3, s4) | node8(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15023, 7421, 711])).
% 78.99/51.27 tff(15025,plain,
% 78.99/51.27 (node8(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15024, 15020])).
% 78.99/51.27 tff(15026,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4)))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15027,plain,
% 78.99/51.27 ((m_user_v_req(c_e_h_1, c_u, s4) | (~node8(c_e_h_1, c_u, s3, s4)) | (~m_user_v_req(c_e_h_1, c_u, s3))) <=> (m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4)))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15028,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s4) | (~node8(c_e_h_1, c_u, s3, s4)) | (~m_user_v_req(c_e_h_1, c_u, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4))))),
% 78.99/51.27 inference(monotonicity,[status(thm)],[15027])).
% 78.99/51.27 tff(15029,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s4) | (~node8(c_e_h_1, c_u, s3, s4)) | (~m_user_v_req(c_e_h_1, c_u, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4)))),
% 78.99/51.27 inference(transitivity,[status(thm)],[15028, 15026])).
% 78.99/51.27 tff(15030,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s4) | (~node8(c_e_h_1, c_u, s3, s4)) | (~m_user_v_req(c_e_h_1, c_u, s3)))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15031,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | (~node8(c_e_h_1, c_u, s3, s4))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 78.99/51.27 tff(15032,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15031, 7402, 15025, 15012, 15007])).
% 78.99/51.27 tff(15033,plain,(m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3)) | m_user_v_ack(c_e_h_1, c_u, s3)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15034,plain,
% 78.99/51.27 (m_user_v_req(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15033, 15011])).
% 78.99/51.27 tff(15035,plain,
% 78.99/51.27 (~m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15034, 15007])).
% 78.99/51.27 tff(15036,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15037,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15038,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s2)) | m_and_h_gate_v_out(c_e_h_1, c_r, s2)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 78.99/51.27 tff(15039,plain,
% 78.99/51.27 (~m_user_v_ack(c_e_h_1, c_u, s2)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15038, 7367, 9269])).
% 78.99/51.27 tff(15040,assumption,(~m_user_v_ack(c_e_h_1, c_u, s2)), introduced(assumption)).
% 78.99/51.27 tff(15041,assumption,(~m_user_v_req(c_e_h_1, c_u, s3)), introduced(assumption)).
% 78.99/51.27 tff(15042,assumption,(node7(c_e_h_1, c_u, s2, s3)), introduced(assumption)).
% 78.99/51.27 tff(15043,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_ack(c_e_h_1, c_u, s2) | m_user_v_req(c_e_h_1, c_u, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_ack(c_e_h_1, c_u, s2) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15044,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_ack(c_e_h_1, c_u, s2) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15045,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_ack(c_e_h_1, c_u, s2) | m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 78.99/51.27 tff(15046,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15045, 7383, 15042, 15041, 15040])).
% 78.99/51.27 tff(15047,plain,((~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_req(c_e_h_1, c_u, s3) | m_user_v_ack(c_e_h_1, c_u, s2)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15048,plain,
% 78.99/51.27 ((~node7(c_e_h_1, c_u, s2, s3)) | m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15047, 15039])).
% 78.99/51.27 tff(15049,plain,
% 78.99/51.27 (~node7(c_e_h_1, c_u, s2, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15048, 15035])).
% 78.99/51.27 tff(15050,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_1, c_u, s2, s3) | node8(c_e_h_1, c_u, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_1, c_u, s2, s3) | node8(c_e_h_1, c_u, s2, s3))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15051,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_1, c_u, s2, s3) | node8(c_e_h_1, c_u, s2, s3))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15052,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_1, c_u, s2, s3) | node8(c_e_h_1, c_u, s2, s3)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 78.99/51.27 tff(15053,plain,
% 78.99/51.27 (node7(c_e_h_1, c_u, s2, s3) | node8(c_e_h_1, c_u, s2, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15052, 7421, 463])).
% 78.99/51.27 tff(15054,plain,
% 78.99/51.27 (node8(c_e_h_1, c_u, s2, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15053, 15049])).
% 78.99/51.27 tff(15055,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3)))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15056,plain,
% 78.99/51.27 ((m_user_v_req(c_e_h_1, c_u, s3) | (~node8(c_e_h_1, c_u, s2, s3)) | (~m_user_v_req(c_e_h_1, c_u, s2))) <=> (m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3)))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15057,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s3) | (~node8(c_e_h_1, c_u, s2, s3)) | (~m_user_v_req(c_e_h_1, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3))))),
% 78.99/51.27 inference(monotonicity,[status(thm)],[15056])).
% 78.99/51.27 tff(15058,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s3) | (~node8(c_e_h_1, c_u, s2, s3)) | (~m_user_v_req(c_e_h_1, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3)))),
% 78.99/51.27 inference(transitivity,[status(thm)],[15057, 15055])).
% 78.99/51.27 tff(15059,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s3) | (~node8(c_e_h_1, c_u, s2, s3)) | (~m_user_v_req(c_e_h_1, c_u, s2)))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15060,plain,
% 78.99/51.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2)) | (~node8(c_e_h_1, c_u, s2, s3))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 78.99/51.27 tff(15061,plain,
% 78.99/51.27 (~m_user_v_req(c_e_h_1, c_u, s2)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15060, 7402, 15054, 15035])).
% 78.99/51.27 tff(15062,plain,
% 78.99/51.27 (~node7(c_e_h_1, c_u, s1, s2)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[7389, 15061])).
% 78.99/51.27 tff(15063,plain,
% 78.99/51.27 (node8(c_e_h_1, c_u, s1, s2)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[7425, 15062])).
% 78.99/51.27 tff(15064,plain,
% 78.99/51.27 (~m_user_v_req(c_e_h_1, c_u, s1)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[7410, 15063, 15061])).
% 78.99/51.27 tff(15065,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)), introduced(assumption)).
% 78.99/51.27 tff(15066,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_user_v_req(c_e_h_1, c_u, s2))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15067,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_user_v_req(c_e_h_1, c_u, s2))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15068,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)) | m_user_v_req(c_e_h_1, c_u, s2)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 78.99/51.27 tff(15069,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15068, 2765, 15065, 7323])).
% 78.99/51.27 tff(15070,plain,(m_user_v_req(c_e_h_1, c_u, s2) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15071,plain,
% 78.99/51.27 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15070, 15061])).
% 78.99/51.27 tff(15072,plain,
% 78.99/51.27 ((~node7(c_e_h_1, c_u, s3, s4)) | m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15019, 15011])).
% 78.99/51.27 tff(15073,plain,
% 78.99/51.27 (~node7(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15072, 15007])).
% 78.99/51.27 tff(15074,plain,
% 78.99/51.27 (node8(c_e_h_1, c_u, s3, s4)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15024, 15073])).
% 78.99/51.27 tff(15075,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_user_v_req(c_e_h_1, c_u, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15076,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15077,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 78.99/51.27 tff(15078,plain,
% 78.99/51.27 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15077, 2765, 15035])).
% 78.99/51.27 tff(15079,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)), introduced(assumption)).
% 78.99/51.27 tff(15080,plain,
% 78.99/51.27 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15081,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3))),
% 78.99/51.27 inference(quant_inst,[status(thm)],[])).
% 78.99/51.27 tff(15082,plain,
% 78.99/51.27 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 78.99/51.27 tff(15083,plain,
% 78.99/51.27 ($false),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15082, 7318, 15079, 15012])).
% 78.99/51.27 tff(15084,plain,((~m_user_v_req(c_e_h_1, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.27 tff(15085,plain,
% 78.99/51.27 (~m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.27 inference(unit_resolution,[status(thm)],[15084, 15079])).
% 78.99/51.27 tff(15086,assumption,(node8(c_e_h_1, c_u, s3, s4)), introduced(assumption)).
% 78.99/51.27 tff(15087,plain,
% 78.99/51.27 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X)) <=> ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X)))),
% 78.99/51.27 inference(bind,[status(th)],[])).
% 78.99/51.27 tff(15088,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(quant_intro,[status(thm)],[15087])).
% 78.99/51.27 tff(15089,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(rewrite,[status(thm)],[])).
% 78.99/51.27 tff(15090,plain,
% 78.99/51.27 (^[Y: $i, I0: $i, X: $i, I1: $i] : rewrite((((~m_user_v_req(I0, I1, Y)) | m_user_v_req(I0, I1, X)) | (~node8(I0, I1, X, Y))) <=> ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X)))),
% 78.99/51.27 inference(bind,[status(th)],[])).
% 78.99/51.27 tff(15091,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_user_v_req(I0, I1, Y)) | m_user_v_req(I0, I1, X)) | (~node8(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(quant_intro,[status(thm)],[15090])).
% 78.99/51.27 tff(15092,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : (((~m_user_v_req(I0, I1, Y)) | m_user_v_req(I0, I1, X)) | (~node8(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_user_5')).
% 78.99/51.27 tff(15093,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15092, 15091])).
% 78.99/51.27 tff(15094,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15093, 15089])).
% 78.99/51.27 tff(15095,plain,(
% 78.99/51.27 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(skolemize,[status(sab)],[15094])).
% 78.99/51.27 tff(15096,plain,
% 78.99/51.27 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))),
% 78.99/51.27 inference(modus_ponens,[status(thm)],[15095, 15088])).
% 78.99/51.27 tff(15097,plain,
% 78.99/51.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | (~node8(c_e_h_1, c_u, s3, s4)) | m_user_v_req(c_e_h_1, c_u, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | (~node8(c_e_h_1, c_u, s3, s4)) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15098,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | (~node8(c_e_h_1, c_u, s3, s4)) | m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15099,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | (~node8(c_e_h_1, c_u, s3, s4)) | m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 78.99/51.28 tff(15100,plain,
% 78.99/51.28 ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15099, 15096, 15086])).
% 78.99/51.28 tff(15101,plain,
% 78.99/51.28 (~m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15100, 15085])).
% 78.99/51.28 tff(15102,plain,
% 78.99/51.28 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_user_v_req(c_e_h_1, c_u, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15103,plain,
% 78.99/51.28 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15104,plain,
% 78.99/51.28 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15103, 15102])).
% 78.99/51.28 tff(15105,plain,
% 78.99/51.28 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15104, 2765, 15101])).
% 78.99/51.28 tff(15106,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)), introduced(assumption)).
% 78.99/51.28 tff(15107,assumption,(node12(c_e_h_1, c_a, s4, s5)), introduced(assumption)).
% 78.99/51.28 tff(15108,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15109,plain,
% 78.99/51.28 (((~node12(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15110,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5))))),
% 78.99/51.28 inference(monotonicity,[status(thm)],[15109])).
% 78.99/51.28 tff(15111,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 78.99/51.28 inference(transitivity,[status(thm)],[15110, 15108])).
% 78.99/51.28 tff(15112,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15113,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s4, s5))),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15112, 15111])).
% 78.99/51.28 tff(15114,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15113, 1082, 15107, 15006, 15106])).
% 78.99/51.28 tff(15115,plain,((~node12(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15116,plain,
% 78.99/51.28 (~node12(c_e_h_1, c_a, s4, s5)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15115, 15105, 15006])).
% 78.99/51.28 tff(15117,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_1, c_a, s4, s5) | node13(c_e_h_1, c_a, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_1, c_a, s4, s5) | node13(c_e_h_1, c_a, s4, s5))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15118,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_1, c_a, s4, s5) | node13(c_e_h_1, c_a, s4, s5))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15119,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_1, c_a, s4, s5) | node13(c_e_h_1, c_a, s4, s5)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 78.99/51.28 tff(15120,plain,
% 78.99/51.28 (node12(c_e_h_1, c_a, s4, s5) | node13(c_e_h_1, c_a, s4, s5)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15119, 1020, 930])).
% 78.99/51.28 tff(15121,plain,
% 78.99/51.28 (node13(c_e_h_1, c_a, s4, s5)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15120, 15116])).
% 78.99/51.28 tff(15122,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node13(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node13(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15123,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node13(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15124,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node13(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15123, 15122])).
% 78.99/51.28 tff(15125,plain,
% 78.99/51.28 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15124, 1004, 15121, 15006])).
% 78.99/51.28 tff(15126,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s4)), introduced(assumption)).
% 78.99/51.28 tff(15127,assumption,(node13(c_e_h_1, c_a, s3, s4)), introduced(assumption)).
% 78.99/51.28 tff(15128,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | (~node13(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | (~node13(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15129,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | (~node13(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15130,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | (~node13(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 78.99/51.28 tff(15131,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15130, 1004, 15127, 15126, 7266])).
% 78.99/51.28 tff(15132,plain,((~node13(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15133,plain,
% 78.99/51.28 (~node13(c_e_h_1, c_a, s3, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15132, 15125, 7266])).
% 78.99/51.28 tff(15134,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_1, c_a, s3, s4) | node13(c_e_h_1, c_a, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_1, c_a, s3, s4) | node13(c_e_h_1, c_a, s3, s4))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15135,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_1, c_a, s3, s4) | node13(c_e_h_1, c_a, s3, s4))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15136,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_1, c_a, s3, s4) | node13(c_e_h_1, c_a, s3, s4)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 78.99/51.28 tff(15137,plain,
% 78.99/51.28 (node12(c_e_h_1, c_a, s3, s4) | node13(c_e_h_1, c_a, s3, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15136, 1020, 711])).
% 78.99/51.28 tff(15138,plain,
% 78.99/51.28 (node12(c_e_h_1, c_a, s3, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15137, 15133])).
% 78.99/51.28 tff(15139,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15140,plain,
% 78.99/51.28 (((~node12(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15141,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4))))),
% 78.99/51.28 inference(monotonicity,[status(thm)],[15140])).
% 78.99/51.28 tff(15142,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))),
% 78.99/51.28 inference(transitivity,[status(thm)],[15141, 15139])).
% 78.99/51.28 tff(15143,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15144,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | (~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 78.99/51.28 tff(15145,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15144, 1082, 15138, 15125, 15079])).
% 78.99/51.28 tff(15146,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~node8(c_e_h_1, c_u, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15147,plain,
% 78.99/51.28 (m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15146, 15078, 15006, 15074])).
% 78.99/51.28 tff(15148,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), introduced(assumption)).
% 78.99/51.28 tff(15149,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)), introduced(assumption)).
% 78.99/51.28 tff(15150,assumption,(node12(c_e_h_1, c_a, s2, s3)), introduced(assumption)).
% 78.99/51.28 tff(15151,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15152,plain,
% 78.99/51.28 (((~node12(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15153,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3))))),
% 78.99/51.28 inference(monotonicity,[status(thm)],[15152])).
% 78.99/51.28 tff(15154,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3)))),
% 78.99/51.28 inference(transitivity,[status(thm)],[15153, 15151])).
% 78.99/51.28 tff(15155,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15156,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node12(c_e_h_1, c_a, s2, s3))),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 78.99/51.28 tff(15157,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15156, 1082, 15150, 15148, 15149])).
% 78.99/51.28 tff(15158,plain,((~node12(c_e_h_1, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15159,plain,
% 78.99/51.28 (~node12(c_e_h_1, c_a, s2, s3)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15158, 15148, 15149])).
% 78.99/51.28 tff(15160,plain,
% 78.99/51.28 (node13(c_e_h_1, c_a, s2, s3)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[7290, 15159])).
% 78.99/51.28 tff(15161,plain,
% 78.99/51.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15162,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15163,plain,
% 78.99/51.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15162, 15161])).
% 78.99/51.28 tff(15164,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15163, 1004, 15160, 15148, 7232])).
% 78.99/51.28 tff(15165,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s2) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15166,plain,
% 78.99/51.28 (m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15165, 15147, 15071])).
% 78.99/51.28 tff(15167,plain,
% 78.99/51.28 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[7260, 15166])).
% 78.99/51.28 tff(15168,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[7264, 2765, 15167, 15064])).
% 78.99/51.28 tff(15169,plain,(m_user_v_req(c_e_h_1, c_u, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15170,plain,
% 78.99/51.28 (m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15169, 15006])).
% 78.99/51.28 tff(15171,assumption,(m_user_v_ack(c_e_h_1, c_u, s4)), introduced(assumption)).
% 78.99/51.28 tff(15172,plain,
% 78.99/51.28 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))),
% 78.99/51.28 inference(rewrite,[status(thm)],[])).
% 78.99/51.28 tff(15173,plain,
% 78.99/51.28 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4))),
% 78.99/51.28 inference(quant_inst,[status(thm)],[])).
% 78.99/51.28 tff(15174,plain,
% 78.99/51.28 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.99/51.28 inference(modus_ponens,[status(thm)],[15173, 15172])).
% 78.99/51.28 tff(15175,plain,
% 78.99/51.28 ($false),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15174, 7367, 15171, 9335])).
% 78.99/51.28 tff(15176,plain,((~m_user_v_ack(c_e_h_1, c_u, s4)) | m_and_h_gate_v_out(c_e_h_1, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.28 tff(15177,plain,
% 78.99/51.28 (~m_user_v_ack(c_e_h_1, c_u, s4)),
% 78.99/51.28 inference(unit_resolution,[status(thm)],[15176, 9325])).
% 78.99/51.29 tff(15178,assumption,(~m_user_v_req(c_e_h_1, c_u, s6)), introduced(assumption)).
% 78.99/51.29 tff(15179,assumption,(m_user_v_req(c_e_h_1, c_u, s4)), introduced(assumption)).
% 78.99/51.29 tff(15180,assumption,(~m_user_v_ack(c_e_h_1, c_u, s4)), introduced(assumption)).
% 78.99/51.29 tff(15181,assumption,(~m_user_v_req(c_e_h_1, c_u, s5)), introduced(assumption)).
% 78.99/51.29 tff(15182,assumption,(node8(c_e_h_1, c_u, s4, s5)), introduced(assumption)).
% 78.99/51.29 tff(15183,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15184,plain,
% 78.99/51.29 ((m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)) | (~m_user_v_req(c_e_h_1, c_u, s4))) <=> ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15185,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)) | (~m_user_v_req(c_e_h_1, c_u, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5))))),
% 78.99/51.29 inference(monotonicity,[status(thm)],[15184])).
% 78.99/51.29 tff(15186,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)) | (~m_user_v_req(c_e_h_1, c_u, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)))),
% 78.99/51.29 inference(transitivity,[status(thm)],[15185, 15183])).
% 78.99/51.29 tff(15187,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5)) | (~m_user_v_req(c_e_h_1, c_u, s4)))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15188,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5) | (~node8(c_e_h_1, c_u, s4, s5))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 78.99/51.29 tff(15189,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15188, 7402, 15182, 15179, 15181])).
% 78.99/51.29 tff(15190,plain,((~node8(c_e_h_1, c_u, s4, s5)) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_user_v_req(c_e_h_1, c_u, s5)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15191,plain,
% 78.99/51.29 (~node8(c_e_h_1, c_u, s4, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15190, 15181, 15179])).
% 78.99/51.29 tff(15192,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s4, s5)) | node7(c_e_h_1, c_u, s4, s5) | node8(c_e_h_1, c_u, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s4, s5)) | node7(c_e_h_1, c_u, s4, s5) | node8(c_e_h_1, c_u, s4, s5))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15193,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s4, s5)) | node7(c_e_h_1, c_u, s4, s5) | node8(c_e_h_1, c_u, s4, s5))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15194,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s4, s5)) | node7(c_e_h_1, c_u, s4, s5) | node8(c_e_h_1, c_u, s4, s5)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15193, 15192])).
% 78.99/51.29 tff(15195,plain,
% 78.99/51.29 (node7(c_e_h_1, c_u, s4, s5) | node8(c_e_h_1, c_u, s4, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15194, 7421, 930])).
% 78.99/51.29 tff(15196,plain,
% 78.99/51.29 (node7(c_e_h_1, c_u, s4, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15195, 15191])).
% 78.99/51.29 tff(15197,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s4, s5)) | m_user_v_ack(c_e_h_1, c_u, s4) | m_user_v_req(c_e_h_1, c_u, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s4, s5)) | m_user_v_ack(c_e_h_1, c_u, s4) | m_user_v_req(c_e_h_1, c_u, s5))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15198,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s4, s5)) | m_user_v_ack(c_e_h_1, c_u, s4) | m_user_v_req(c_e_h_1, c_u, s5))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15199,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s4, s5)) | m_user_v_ack(c_e_h_1, c_u, s4) | m_user_v_req(c_e_h_1, c_u, s5)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 78.99/51.29 tff(15200,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15199, 7383, 15196, 15180, 15181])).
% 78.99/51.29 tff(15201,plain,(m_user_v_req(c_e_h_1, c_u, s5) | m_user_v_ack(c_e_h_1, c_u, s4) | (~m_user_v_req(c_e_h_1, c_u, s4))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15202,plain,
% 78.99/51.29 (m_user_v_req(c_e_h_1, c_u, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15201, 15180, 15179])).
% 78.99/51.29 tff(15203,assumption,(~m_user_v_ack(c_e_h_1, c_u, s5)), introduced(assumption)).
% 78.99/51.29 tff(15204,assumption,(node7(c_e_h_1, c_u, s5, s6)), introduced(assumption)).
% 78.99/51.29 tff(15205,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s5, s6)) | m_user_v_ack(c_e_h_1, c_u, s5) | m_user_v_req(c_e_h_1, c_u, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s5, s6)) | m_user_v_ack(c_e_h_1, c_u, s5) | m_user_v_req(c_e_h_1, c_u, s6))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15206,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s5, s6)) | m_user_v_ack(c_e_h_1, c_u, s5) | m_user_v_req(c_e_h_1, c_u, s6))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15207,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s5, s6)) | m_user_v_ack(c_e_h_1, c_u, s5) | m_user_v_req(c_e_h_1, c_u, s6)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 78.99/51.29 tff(15208,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15207, 7383, 15203, 15204, 15178])).
% 78.99/51.29 tff(15209,plain,((~node7(c_e_h_1, c_u, s5, s6)) | m_user_v_ack(c_e_h_1, c_u, s5) | m_user_v_req(c_e_h_1, c_u, s6)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15210,plain,
% 78.99/51.29 (~node7(c_e_h_1, c_u, s5, s6)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15209, 15178, 15203])).
% 78.99/51.29 tff(15211,assumption,(m_user_v_req(c_e_h_1, c_u, s5)), introduced(assumption)).
% 78.99/51.29 tff(15212,assumption,(node8(c_e_h_1, c_u, s5, s6)), introduced(assumption)).
% 78.99/51.29 tff(15213,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15214,plain,
% 78.99/51.29 ((m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)) | (~m_user_v_req(c_e_h_1, c_u, s5))) <=> ((~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15215,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)) | (~m_user_v_req(c_e_h_1, c_u, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6))))),
% 78.99/51.29 inference(monotonicity,[status(thm)],[15214])).
% 78.99/51.29 tff(15216,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)) | (~m_user_v_req(c_e_h_1, c_u, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)))),
% 78.99/51.29 inference(transitivity,[status(thm)],[15215, 15213])).
% 78.99/51.29 tff(15217,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6)) | (~m_user_v_req(c_e_h_1, c_u, s5)))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15218,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_req(c_e_h_1, c_u, s6) | (~node8(c_e_h_1, c_u, s5, s6))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 78.99/51.29 tff(15219,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15218, 7402, 15212, 15178, 15211])).
% 78.99/51.29 tff(15220,plain,((~node8(c_e_h_1, c_u, s5, s6)) | m_user_v_req(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s5))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15221,plain,
% 78.99/51.29 (~node8(c_e_h_1, c_u, s5, s6)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15220, 15178, 15211])).
% 78.99/51.29 tff(15222,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s5, s6)) | node7(c_e_h_1, c_u, s5, s6) | node8(c_e_h_1, c_u, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s5, s6)) | node7(c_e_h_1, c_u, s5, s6) | node8(c_e_h_1, c_u, s5, s6))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15223,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s5, s6)) | node7(c_e_h_1, c_u, s5, s6) | node8(c_e_h_1, c_u, s5, s6))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15224,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s5, s6)) | node7(c_e_h_1, c_u, s5, s6) | node8(c_e_h_1, c_u, s5, s6)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 78.99/51.29 tff(15225,plain,
% 78.99/51.29 (node7(c_e_h_1, c_u, s5, s6) | node8(c_e_h_1, c_u, s5, s6)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15224, 7421, 1343])).
% 78.99/51.29 tff(15226,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15225, 15221, 15210])).
% 78.99/51.29 tff(15227,plain,(m_user_v_req(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_user_v_ack(c_e_h_1, c_u, s5)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15228,plain,
% 78.99/51.29 (m_user_v_ack(c_e_h_1, c_u, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15227, 15202, 15178])).
% 78.99/51.29 tff(15229,assumption,(m_user_v_ack(c_e_h_1, c_u, s5)), introduced(assumption)).
% 78.99/51.29 tff(15230,plain,
% 78.99/51.29 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15231,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15232,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15231, 15230])).
% 78.99/51.29 tff(15233,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15232, 7367, 15229, 9370])).
% 78.99/51.29 tff(15234,plain,((~m_user_v_ack(c_e_h_1, c_u, s5)) | m_and_h_gate_v_out(c_e_h_1, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15235,plain,
% 78.99/51.29 (m_and_h_gate_v_out(c_e_h_1, c_r, s5)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15234, 15228])).
% 78.99/51.29 tff(15236,plain,
% 78.99/51.29 (m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[9354, 15235])).
% 78.99/51.29 tff(15237,plain,
% 78.99/51.29 (^[I0: $i, X: $i] : refl((m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X))) <=> (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X))))),
% 78.99/51.29 inference(bind,[status(th)],[])).
% 78.99/51.29 tff(15238,plain,
% 78.99/51.29 (![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X))) <=> ![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))),
% 78.99/51.29 inference(quant_intro,[status(thm)],[15237])).
% 78.99/51.29 tff(15239,plain,
% 78.99/51.29 (![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X))) <=> ![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15240,axiom,(![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_80')).
% 78.99/51.29 tff(15241,plain,
% 78.99/51.29 (![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 78.99/51.29 tff(15242,plain,(
% 78.99/51.29 ![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))),
% 78.99/51.29 inference(skolemize,[status(sab)],[15241])).
% 78.99/51.29 tff(15243,plain,
% 78.99/51.29 (![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15242, 15238])).
% 78.99/51.29 tff(15244,plain,
% 78.99/51.29 (((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)))) <=> ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15245,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15246,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s4))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15245, 15244])).
% 78.99/51.29 tff(15247,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15246, 15243, 15180, 15236])).
% 78.99/51.29 tff(15248,plain,(m_user_v_ack(c_e_h_1, c_u, s4) | m_user_v_req(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s4))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15249,plain,
% 78.99/51.29 (m_user_v_req(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15248, 15177])).
% 78.99/51.29 tff(15250,plain,
% 78.99/51.29 (m_user_v_req(c_e_h_1, c_u, s6)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15249, 15170])).
% 78.99/51.29 tff(15251,assumption,(m_user_v_ack(c_e_h_1, c_u, s6)), introduced(assumption)).
% 78.99/51.29 tff(15252,plain,
% 78.99/51.29 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15253,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15254,plain,
% 78.99/51.29 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 78.99/51.29 tff(15255,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15254, 7367, 15251, 9403])).
% 78.99/51.29 tff(15256,plain,((~m_user_v_ack(c_e_h_1, c_u, s6)) | m_and_h_gate_v_out(c_e_h_1, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15257,plain,
% 78.99/51.29 (~m_user_v_ack(c_e_h_1, c_u, s6)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15256, 9377])).
% 78.99/51.29 tff(15258,assumption,(~m_user_v_req(c_e_h_1, c_u, s7)), introduced(assumption)).
% 78.99/51.29 tff(15259,assumption,(m_user_v_req(c_e_h_1, c_u, s6)), introduced(assumption)).
% 78.99/51.29 tff(15260,assumption,(node8(c_e_h_1, c_u, s6, s7)), introduced(assumption)).
% 78.99/51.29 tff(15261,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s7) | (~node8(c_e_h_1, c_u, s6, s7)) | (~m_user_v_req(c_e_h_1, c_u, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s7) | (~node8(c_e_h_1, c_u, s6, s7)) | (~m_user_v_req(c_e_h_1, c_u, s6)))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15262,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s7) | (~node8(c_e_h_1, c_u, s6, s7)) | (~m_user_v_req(c_e_h_1, c_u, s6)))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15263,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s7) | (~node8(c_e_h_1, c_u, s6, s7)) | (~m_user_v_req(c_e_h_1, c_u, s6))),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15262, 15261])).
% 78.99/51.29 tff(15264,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15263, 7402, 15260, 15259, 15258])).
% 78.99/51.29 tff(15265,plain,((~node8(c_e_h_1, c_u, s6, s7)) | (~m_user_v_req(c_e_h_1, c_u, s6)) | m_user_v_req(c_e_h_1, c_u, s7)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15266,plain,
% 78.99/51.29 (~node8(c_e_h_1, c_u, s6, s7)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15265, 15258, 15259])).
% 78.99/51.29 tff(15267,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s6, s7)) | node7(c_e_h_1, c_u, s6, s7) | node8(c_e_h_1, c_u, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s6, s7)) | node7(c_e_h_1, c_u, s6, s7) | node8(c_e_h_1, c_u, s6, s7))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15268,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s6, s7)) | node7(c_e_h_1, c_u, s6, s7) | node8(c_e_h_1, c_u, s6, s7))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15269,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s6, s7)) | node7(c_e_h_1, c_u, s6, s7) | node8(c_e_h_1, c_u, s6, s7)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 78.99/51.29 tff(15270,plain,
% 78.99/51.29 (node7(c_e_h_1, c_u, s6, s7) | node8(c_e_h_1, c_u, s6, s7)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15269, 7421, 1685])).
% 78.99/51.29 tff(15271,plain,
% 78.99/51.29 (node7(c_e_h_1, c_u, s6, s7)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15270, 15266])).
% 78.99/51.29 tff(15272,assumption,(~m_user_v_ack(c_e_h_1, c_u, s6)), introduced(assumption)).
% 78.99/51.29 tff(15273,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s6, s7)) | m_user_v_ack(c_e_h_1, c_u, s6) | m_user_v_req(c_e_h_1, c_u, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s6, s7)) | m_user_v_ack(c_e_h_1, c_u, s6) | m_user_v_req(c_e_h_1, c_u, s7))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15274,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s6, s7)) | m_user_v_ack(c_e_h_1, c_u, s6) | m_user_v_req(c_e_h_1, c_u, s7))),
% 78.99/51.29 inference(quant_inst,[status(thm)],[])).
% 78.99/51.29 tff(15275,plain,
% 78.99/51.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s6, s7)) | m_user_v_ack(c_e_h_1, c_u, s6) | m_user_v_req(c_e_h_1, c_u, s7)),
% 78.99/51.29 inference(modus_ponens,[status(thm)],[15274, 15273])).
% 78.99/51.29 tff(15276,plain,
% 78.99/51.29 ($false),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15275, 7383, 15272, 15271, 15258])).
% 78.99/51.29 tff(15277,plain,(m_user_v_req(c_e_h_1, c_u, s7) | m_user_v_ack(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.29 tff(15278,plain,
% 78.99/51.29 (m_user_v_req(c_e_h_1, c_u, s7) | (~m_user_v_req(c_e_h_1, c_u, s6))),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15277, 15257])).
% 78.99/51.29 tff(15279,plain,
% 78.99/51.29 (m_user_v_req(c_e_h_1, c_u, s7)),
% 78.99/51.29 inference(unit_resolution,[status(thm)],[15278, 15250])).
% 78.99/51.29 tff(15280,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), introduced(assumption)).
% 78.99/51.29 tff(15281,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), introduced(assumption)).
% 78.99/51.29 tff(15282,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)), introduced(assumption)).
% 78.99/51.29 tff(15283,assumption,(node12(c_e_h_1, c_a, s5, s6)), introduced(assumption)).
% 78.99/51.29 tff(15284,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15285,plain,
% 78.99/51.29 (((~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.29 inference(rewrite,[status(thm)],[])).
% 78.99/51.29 tff(15286,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.29 inference(monotonicity,[status(thm)],[15285])).
% 78.99/51.29 tff(15287,plain,
% 78.99/51.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.29 inference(transitivity,[status(thm)],[15286, 15284])).
% 78.99/51.29 tff(15288,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15289,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | (~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 78.99/51.30 tff(15290,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15289, 7301, 15283, 15282, 15281])).
% 78.99/51.30 tff(15291,plain,((~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15292,plain,
% 78.99/51.30 (~node12(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15291, 15281, 15282])).
% 78.99/51.30 tff(15293,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_1, c_a, s5, s6) | node13(c_e_h_1, c_a, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_1, c_a, s5, s6) | node13(c_e_h_1, c_a, s5, s6))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15294,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_1, c_a, s5, s6) | node13(c_e_h_1, c_a, s5, s6))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15295,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_1, c_a, s5, s6) | node13(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15294, 15293])).
% 78.99/51.30 tff(15296,plain,
% 78.99/51.30 (node12(c_e_h_1, c_a, s5, s6) | node13(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15295, 1020, 1343])).
% 78.99/51.30 tff(15297,plain,
% 78.99/51.30 (node13(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15296, 15292])).
% 78.99/51.30 tff(15298,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15299,plain,
% 78.99/51.30 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15300,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6))))),
% 78.99/51.30 inference(monotonicity,[status(thm)],[15299])).
% 78.99/51.30 tff(15301,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)))),
% 78.99/51.30 inference(transitivity,[status(thm)],[15300, 15298])).
% 78.99/51.30 tff(15302,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15303,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~node13(c_e_h_1, c_a, s5, s6))),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 78.99/51.30 tff(15304,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15303, 7277, 15297, 15006, 15281])).
% 78.99/51.30 tff(15305,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15306,plain,
% 78.99/51.30 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15305, 15006, 15281])).
% 78.99/51.30 tff(15307,plain,
% 78.99/51.30 (m_user_v_req(c_e_h_1, c_u, s5) | (~m_user_v_req(c_e_h_1, c_u, s4))),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15201, 15177])).
% 78.99/51.30 tff(15308,plain,
% 78.99/51.30 (m_user_v_req(c_e_h_1, c_u, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15307, 15170])).
% 78.99/51.30 tff(15309,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)), introduced(assumption)).
% 78.99/51.30 tff(15310,plain,
% 78.99/51.30 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15311,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15312,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 78.99/51.30 tff(15313,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15312, 7318, 15211, 15309])).
% 78.99/51.30 tff(15314,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_user_v_req(c_e_h_1, c_u, s5))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15315,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15314, 15308, 15306])).
% 78.99/51.30 tff(15316,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15317,plain,
% 78.99/51.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15316, 15006])).
% 78.99/51.30 tff(15318,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), introduced(assumption)).
% 78.99/51.30 tff(15319,plain,
% 78.99/51.30 (~m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15249, 15178])).
% 78.99/51.30 tff(15320,plain,
% 78.99/51.30 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15169, 15319])).
% 78.99/51.30 tff(15321,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)), introduced(assumption)).
% 78.99/51.30 tff(15322,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15323,plain,
% 78.99/51.30 (((~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15324,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))))),
% 78.99/51.30 inference(monotonicity,[status(thm)],[15323])).
% 78.99/51.30 tff(15325,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(transitivity,[status(thm)],[15324, 15322])).
% 78.99/51.30 tff(15326,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15327,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15326, 15325])).
% 78.99/51.30 tff(15328,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15327, 1082, 15283, 15309, 15318])).
% 78.99/51.30 tff(15329,plain,((~node12(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15330,plain,
% 78.99/51.30 (~node12(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15329, 15318, 15309])).
% 78.99/51.30 tff(15331,plain,
% 78.99/51.30 (node13(c_e_h_1, c_a, s5, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15296, 15330])).
% 78.99/51.30 tff(15332,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~node13(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~node13(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15333,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~node13(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15334,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~node13(c_e_h_1, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15333, 15332])).
% 78.99/51.30 tff(15335,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15334, 1004, 15331, 15321, 15318])).
% 78.99/51.30 tff(15336,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15337,plain,
% 78.99/51.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15336, 15320, 15318])).
% 78.99/51.30 tff(15338,plain,
% 78.99/51.30 (~m_user_v_ack(c_e_h_1, c_u, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15234, 9355])).
% 78.99/51.30 tff(15339,plain,
% 78.99/51.30 (m_user_v_req(c_e_h_1, c_u, s6) | (~m_user_v_req(c_e_h_1, c_u, s5))),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15227, 15338])).
% 78.99/51.30 tff(15340,plain,
% 78.99/51.30 (~m_user_v_req(c_e_h_1, c_u, s5)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15339, 15178])).
% 78.99/51.30 tff(15341,plain,
% 78.99/51.30 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_user_v_req(c_e_h_1, c_u, s5))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_user_v_req(c_e_h_1, c_u, s5))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15342,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_user_v_req(c_e_h_1, c_u, s5))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15343,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)) | m_user_v_req(c_e_h_1, c_u, s5)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 78.99/51.30 tff(15344,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15343, 2765, 15340, 15337])).
% 78.99/51.30 tff(15345,plain,(m_user_v_req(c_e_h_1, c_u, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15346,plain,
% 78.99/51.30 (m_user_v_req(c_e_h_1, c_u, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15345, 15318])).
% 78.99/51.30 tff(15347,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), introduced(assumption)).
% 78.99/51.30 tff(15348,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)), introduced(assumption)).
% 78.99/51.30 tff(15349,assumption,(node12(c_e_h_1, c_a, s6, s7)), introduced(assumption)).
% 78.99/51.30 tff(15350,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15351,plain,
% 78.99/51.30 (((~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15352,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))))),
% 78.99/51.30 inference(monotonicity,[status(thm)],[15351])).
% 78.99/51.30 tff(15353,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(transitivity,[status(thm)],[15352, 15350])).
% 78.99/51.30 tff(15354,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15355,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 78.99/51.30 tff(15356,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15355, 7301, 15349, 15347, 15348])).
% 78.99/51.30 tff(15357,plain,((~node12(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15358,plain,
% 78.99/51.30 (~node12(c_e_h_1, c_a, s6, s7)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15357, 15347, 15348])).
% 78.99/51.30 tff(15359,assumption,(node13(c_e_h_1, c_a, s6, s7)), introduced(assumption)).
% 78.99/51.30 tff(15360,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node13(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node13(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15361,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node13(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15362,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~node13(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 78.99/51.30 tff(15363,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15362, 7277, 15359, 15347, 15318])).
% 78.99/51.30 tff(15364,plain,((~node13(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15365,plain,
% 78.99/51.30 (~node13(c_e_h_1, c_a, s6, s7)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15364, 15347, 15318])).
% 78.99/51.30 tff(15366,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_1, c_a, s6, s7) | node13(c_e_h_1, c_a, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_1, c_a, s6, s7) | node13(c_e_h_1, c_a, s6, s7))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15367,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_1, c_a, s6, s7) | node13(c_e_h_1, c_a, s6, s7))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15368,plain,
% 78.99/51.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_1, c_a, s6, s7) | node13(c_e_h_1, c_a, s6, s7)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 78.99/51.30 tff(15369,plain,
% 78.99/51.30 (node12(c_e_h_1, c_a, s6, s7) | node13(c_e_h_1, c_a, s6, s7)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15368, 1020, 1685])).
% 78.99/51.30 tff(15370,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15369, 15365, 15358])).
% 78.99/51.30 tff(15371,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15372,plain,
% 78.99/51.30 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15371, 15318, 15347])).
% 78.99/51.30 tff(15373,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)), introduced(assumption)).
% 78.99/51.30 tff(15374,plain,
% 78.99/51.30 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15375,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))),
% 78.99/51.30 inference(quant_inst,[status(thm)],[])).
% 78.99/51.30 tff(15376,plain,
% 78.99/51.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s6)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 78.99/51.30 inference(modus_ponens,[status(thm)],[15375, 15374])).
% 78.99/51.30 tff(15377,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15376, 7318, 15259, 15373])).
% 78.99/51.30 tff(15378,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~m_user_v_req(c_e_h_1, c_u, s6))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15379,plain,
% 78.99/51.30 ($false),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15378, 15372, 15346])).
% 78.99/51.30 tff(15380,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.30 tff(15381,plain,
% 78.99/51.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 78.99/51.30 inference(unit_resolution,[status(thm)],[15380, 15317])).
% 78.99/51.30 tff(15382,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), introduced(assumption)).
% 78.99/51.30 tff(15383,assumption,(node13(c_e_h_1, c_a, s7, s8)), introduced(assumption)).
% 78.99/51.30 tff(15384,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15385,plain,
% 78.99/51.30 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.30 inference(rewrite,[status(thm)],[])).
% 78.99/51.30 tff(15386,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8))))),
% 78.99/51.30 inference(monotonicity,[status(thm)],[15385])).
% 78.99/51.30 tff(15387,plain,
% 78.99/51.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.31 inference(transitivity,[status(thm)],[15386, 15384])).
% 78.99/51.31 tff(15388,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))),
% 78.99/51.31 inference(quant_inst,[status(thm)],[])).
% 78.99/51.31 tff(15389,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node13(c_e_h_1, c_a, s7, s8))),
% 78.99/51.31 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 78.99/51.31 tff(15390,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15389, 7277, 15383, 15280, 15382])).
% 78.99/51.31 tff(15391,plain,((~node13(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15392,plain,
% 78.99/51.31 (~node13(c_e_h_1, c_a, s7, s8)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15391, 15280, 15382])).
% 78.99/51.31 tff(15393,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)), introduced(assumption)).
% 78.99/51.31 tff(15394,assumption,(node12(c_e_h_1, c_a, s7, s8)), introduced(assumption)).
% 78.99/51.31 tff(15395,plain,
% 78.99/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.31 inference(rewrite,[status(thm)],[])).
% 78.99/51.31 tff(15396,plain,
% 78.99/51.31 (((~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.31 inference(rewrite,[status(thm)],[])).
% 78.99/51.31 tff(15397,plain,
% 78.99/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8))))),
% 78.99/51.31 inference(monotonicity,[status(thm)],[15396])).
% 78.99/51.31 tff(15398,plain,
% 78.99/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8)))),
% 78.99/51.31 inference(transitivity,[status(thm)],[15397, 15395])).
% 78.99/51.31 tff(15399,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 78.99/51.31 inference(quant_inst,[status(thm)],[])).
% 78.99/51.31 tff(15400,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s7, s8))),
% 78.99/51.31 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 78.99/51.31 tff(15401,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15400, 7301, 15394, 15280, 15393])).
% 78.99/51.31 tff(15402,plain,((~node12(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15403,plain,
% 78.99/51.31 (~node12(c_e_h_1, c_a, s7, s8)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15402, 15280, 15393])).
% 78.99/51.31 tff(15404,plain,
% 78.99/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_1, c_a, s7, s8) | node13(c_e_h_1, c_a, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_1, c_a, s7, s8) | node13(c_e_h_1, c_a, s7, s8))),
% 78.99/51.31 inference(rewrite,[status(thm)],[])).
% 78.99/51.31 tff(15405,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_1, c_a, s7, s8) | node13(c_e_h_1, c_a, s7, s8))),
% 78.99/51.31 inference(quant_inst,[status(thm)],[])).
% 78.99/51.31 tff(15406,plain,
% 78.99/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_1, c_a, s7, s8) | node13(c_e_h_1, c_a, s7, s8)),
% 78.99/51.31 inference(modus_ponens,[status(thm)],[15405, 15404])).
% 78.99/51.31 tff(15407,plain,
% 78.99/51.31 (node12(c_e_h_1, c_a, s7, s8) | node13(c_e_h_1, c_a, s7, s8)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15406, 1020, 2456])).
% 78.99/51.31 tff(15408,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15407, 15403, 15392])).
% 78.99/51.31 tff(15409,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15410,plain,
% 78.99/51.31 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15409, 15381, 15280])).
% 78.99/51.31 tff(15411,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)), introduced(assumption)).
% 78.99/51.31 tff(15412,assumption,(m_user_v_req(c_e_h_1, c_u, s7)), introduced(assumption)).
% 78.99/51.31 tff(15413,plain,
% 78.99/51.31 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7))),
% 78.99/51.31 inference(rewrite,[status(thm)],[])).
% 78.99/51.31 tff(15414,plain,
% 78.99/51.31 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7))),
% 78.99/51.31 inference(quant_inst,[status(thm)],[])).
% 78.99/51.31 tff(15415,plain,
% 78.99/51.31 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 78.99/51.31 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 78.99/51.31 tff(15416,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15415, 7318, 15412, 15411])).
% 78.99/51.31 tff(15417,plain,((~m_user_v_req(c_e_h_1, c_u, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15418,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15417, 15410, 15279])).
% 78.99/51.31 tff(15419,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15420,plain,
% 78.99/51.31 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15419, 15005])).
% 78.99/51.31 tff(15421,plain,
% 78.99/51.31 (node8(c_e_h_1, c_u, s1, s2)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[7425, 7390])).
% 78.99/51.31 tff(15422,plain,
% 78.99/51.31 (~m_user_v_req(c_e_h_1, c_u, s1)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[7410, 15421, 7323])).
% 78.99/51.31 tff(15423,plain,
% 78.99/51.31 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15070, 7323])).
% 78.99/51.31 tff(15424,plain,
% 78.99/51.31 (m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15165, 15423, 15148])).
% 78.99/51.31 tff(15425,plain,
% 78.99/51.31 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[7260, 15424])).
% 78.99/51.31 tff(15426,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[7264, 2765, 15425, 15422])).
% 78.99/51.31 tff(15427,plain,(m_user_v_req(c_e_h_1, c_u, s2) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15428,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s2)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15427, 15148])).
% 78.99/51.31 tff(15429,assumption,(m_user_v_req(c_e_h_1, c_u, s2)), introduced(assumption)).
% 78.99/51.31 tff(15430,plain,
% 78.99/51.31 (~node7(c_e_h_1, c_u, s2, s3)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15048, 15041])).
% 78.99/51.31 tff(15431,plain,
% 78.99/51.31 (node8(c_e_h_1, c_u, s2, s3)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15053, 15430])).
% 78.99/51.31 tff(15432,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15060, 7402, 15431, 15041, 15429])).
% 78.99/51.31 tff(15433,plain,(m_user_v_req(c_e_h_1, c_u, s3) | (~m_user_v_req(c_e_h_1, c_u, s2))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15434,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s3)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15433, 15428])).
% 78.99/51.31 tff(15435,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s4)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15033, 15013, 15012])).
% 78.99/51.31 tff(15436,plain,
% 78.99/51.31 (((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)))) <=> ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)))),
% 78.99/51.31 inference(rewrite,[status(thm)],[])).
% 78.99/51.31 tff(15437,plain,
% 78.99/51.31 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)))),
% 78.99/51.31 inference(quant_inst,[status(thm)],[])).
% 78.99/51.31 tff(15438,plain,
% 78.99/51.31 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s3))),
% 78.99/51.31 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 78.99/51.31 tff(15439,plain,
% 78.99/51.31 (~m_and_h_gate_v_out(c_e_h_1, c_r, s3)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15438, 15243, 15013])).
% 78.99/51.31 tff(15440,plain,
% 78.99/51.31 (~m_and_h_gate_v_out(c_e_h_1, c_r, s4)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[9324, 15439])).
% 78.99/51.31 tff(15441,plain,
% 78.99/51.31 (~m_user_v_ack(c_e_h_1, c_u, s4)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15176, 15440])).
% 78.99/51.31 tff(15442,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s6)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15248, 15441, 15435])).
% 78.99/51.31 tff(15443,plain,
% 78.99/51.31 (~m_and_h_gate_v_out(c_e_h_1, c_r, s5)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[9354, 15440])).
% 78.99/51.31 tff(15444,plain,
% 78.99/51.31 (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[9375, 15443, 9357])).
% 78.99/51.31 tff(15445,plain,
% 78.99/51.31 (~m_user_v_ack(c_e_h_1, c_u, s6)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15256, 15444])).
% 78.99/51.31 tff(15446,plain,
% 78.99/51.31 ($false),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15277, 15445, 15442, 15258])).
% 78.99/51.31 tff(15447,plain,(m_user_v_ack(c_e_h_1, c_u, s3) | m_user_v_req(c_e_h_1, c_u, s7) | node20(c_e_h_1, c_r, s5) | (~m_user_v_req(c_e_h_1, c_u, s3))), inference(lemma,lemma(discharge,[]))).
% 78.99/51.31 tff(15448,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s7) | node20(c_e_h_1, c_r, s5) | (~m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15447, 15011])).
% 78.99/51.31 tff(15449,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s7) | (~m_user_v_req(c_e_h_1, c_u, s3))),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15448, 9242])).
% 78.99/51.31 tff(15450,plain,
% 78.99/51.31 (m_user_v_req(c_e_h_1, c_u, s7)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15449, 15434])).
% 78.99/51.31 tff(15451,plain,
% 78.99/51.31 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 78.99/51.31 inference(unit_resolution,[status(thm)],[15417, 15450])).
% 78.99/51.31 tff(15452,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)), introduced(assumption)).
% 78.99/51.31 tff(15453,plain,
% 78.99/51.31 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15084, 15434])).
% 79.05/51.31 tff(15454,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)), introduced(assumption)).
% 79.05/51.31 tff(15455,assumption,(node12(c_e_h_1, c_a, s3, s4)), introduced(assumption)).
% 79.05/51.31 tff(15456,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15457,plain,
% 79.05/51.31 (((~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15458,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4))))),
% 79.05/51.31 inference(monotonicity,[status(thm)],[15457])).
% 79.05/51.31 tff(15459,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(transitivity,[status(thm)],[15458, 15456])).
% 79.05/51.31 tff(15460,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 79.05/51.31 inference(quant_inst,[status(thm)],[])).
% 79.05/51.31 tff(15461,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node12(c_e_h_1, c_a, s3, s4))),
% 79.05/51.31 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 79.05/51.31 tff(15462,plain,
% 79.05/51.31 ($false),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15461, 7301, 15455, 15452, 15454])).
% 79.05/51.31 tff(15463,plain,((~node12(c_e_h_1, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.31 tff(15464,plain,
% 79.05/51.31 (~node12(c_e_h_1, c_a, s3, s4)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15463, 15452, 15453])).
% 79.05/51.31 tff(15465,plain,
% 79.05/51.31 (node13(c_e_h_1, c_a, s3, s4)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15137, 15464])).
% 79.05/51.31 tff(15466,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15467,plain,
% 79.05/51.31 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node13(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15468,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node13(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4))))),
% 79.05/51.31 inference(monotonicity,[status(thm)],[15467])).
% 79.05/51.31 tff(15469,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node13(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4)))),
% 79.05/51.31 inference(transitivity,[status(thm)],[15468, 15466])).
% 79.05/51.31 tff(15470,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~node13(c_e_h_1, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)))),
% 79.05/51.31 inference(quant_inst,[status(thm)],[])).
% 79.05/51.31 tff(15471,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~node13(c_e_h_1, c_a, s3, s4))),
% 79.05/51.31 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 79.05/51.31 tff(15472,plain,
% 79.05/51.31 ($false),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15471, 7277, 15465, 15452, 15148])).
% 79.05/51.31 tff(15473,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.31 tff(15474,plain,
% 79.05/51.31 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15473, 15148])).
% 79.05/51.31 tff(15475,assumption,(node13(c_e_h_1, c_a, s4, s5)), introduced(assumption)).
% 79.05/51.31 tff(15476,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15477,plain,
% 79.05/51.31 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15478,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5))))),
% 79.05/51.31 inference(monotonicity,[status(thm)],[15477])).
% 79.05/51.31 tff(15479,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(transitivity,[status(thm)],[15478, 15476])).
% 79.05/51.31 tff(15480,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)))),
% 79.05/51.31 inference(quant_inst,[status(thm)],[])).
% 79.05/51.31 tff(15481,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node13(c_e_h_1, c_a, s4, s5))),
% 79.05/51.31 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 79.05/51.31 tff(15482,plain,
% 79.05/51.31 ($false),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15481, 7277, 15475, 15126, 15321])).
% 79.05/51.31 tff(15483,plain,((~node13(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.31 tff(15484,plain,
% 79.05/51.31 (~node13(c_e_h_1, c_a, s4, s5)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15483, 15126, 15321])).
% 79.05/51.31 tff(15485,plain,
% 79.05/51.31 (node12(c_e_h_1, c_a, s4, s5)),
% 79.05/51.31 inference(unit_resolution,[status(thm)],[15120, 15484])).
% 79.05/51.31 tff(15486,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)), introduced(assumption)).
% 79.05/51.31 tff(15487,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15488,plain,
% 79.05/51.31 (((~node12(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(rewrite,[status(thm)],[])).
% 79.05/51.31 tff(15489,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5))))),
% 79.05/51.31 inference(monotonicity,[status(thm)],[15488])).
% 79.05/51.31 tff(15490,plain,
% 79.05/51.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5)))),
% 79.05/51.31 inference(transitivity,[status(thm)],[15489, 15487])).
% 79.05/51.31 tff(15491,plain,
% 79.05/51.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15492,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~node12(c_e_h_1, c_a, s4, s5))),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 79.05/51.32 tff(15493,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15492, 7301, 15107, 15321, 15486])).
% 79.05/51.32 tff(15494,plain,((~node12(c_e_h_1, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15495,plain,
% 79.05/51.32 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15494, 15485, 15321])).
% 79.05/51.32 tff(15496,plain,
% 79.05/51.32 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15497,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15498,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 79.05/51.32 tff(15499,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15498, 7318, 15179, 15106])).
% 79.05/51.32 tff(15500,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s4) | (~m_user_v_req(c_e_h_1, c_u, s4))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15501,plain,
% 79.05/51.32 (~m_user_v_req(c_e_h_1, c_u, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15500, 15495])).
% 79.05/51.32 tff(15502,plain,
% 79.05/51.32 (~m_user_v_req(c_e_h_1, c_u, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15034, 15501])).
% 79.05/51.32 tff(15503,plain,
% 79.05/51.32 (~m_user_v_req(c_e_h_1, c_u, s2)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15433, 15502])).
% 79.05/51.32 tff(15504,plain,
% 79.05/51.32 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15427, 15503])).
% 79.05/51.32 tff(15505,plain,
% 79.05/51.32 (~node13(c_e_h_1, c_a, s3, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15132, 15126, 7266])).
% 79.05/51.32 tff(15506,plain,
% 79.05/51.32 (node12(c_e_h_1, c_a, s3, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15137, 15505])).
% 79.05/51.32 tff(15507,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15144, 1082, 15506, 15126, 15079])).
% 79.05/51.32 tff(15508,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s3) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15509,plain,
% 79.05/51.32 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15508, 15504, 15126])).
% 79.05/51.32 tff(15510,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15077, 2765, 15509, 15502])).
% 79.05/51.32 tff(15511,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15512,plain,
% 79.05/51.32 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15511, 15474])).
% 79.05/51.32 tff(15513,plain,
% 79.05/51.32 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15316, 15512])).
% 79.05/51.32 tff(15514,plain,
% 79.05/51.32 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15380, 15513])).
% 79.05/51.32 tff(15515,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15409, 15514, 15451, 15280])).
% 79.05/51.32 tff(15516,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15517,plain,
% 79.05/51.32 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15516, 15005])).
% 79.05/51.32 tff(15518,plain,
% 79.05/51.32 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7429, 7266])).
% 79.05/51.32 tff(15519,plain,
% 79.05/51.32 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7237, 15518])).
% 79.05/51.32 tff(15520,plain,
% 79.05/51.32 (~node20(c_e_h_1, c_c, s2)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7229, 15519])).
% 79.05/51.32 tff(15521,plain,
% 79.05/51.32 (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7221, 15520])).
% 79.05/51.32 tff(15522,plain,
% 79.05/51.32 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6891, 15521])).
% 79.05/51.32 tff(15523,plain,
% 79.05/51.32 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6883, 15522])).
% 79.05/51.32 tff(15524,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s4)), introduced(assumption)).
% 79.05/51.32 tff(15525,plain,
% 79.05/51.32 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15526,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15527,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 79.05/51.32 tff(15528,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15527, 2501, 13068, 15524])).
% 79.05/51.32 tff(15529,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15530,plain,
% 79.05/51.32 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15529, 13023])).
% 79.05/51.32 tff(15531,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15532,plain,
% 79.05/51.32 (((~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15533,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5))))),
% 79.05/51.32 inference(monotonicity,[status(thm)],[15532])).
% 79.05/51.32 tff(15534,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(transitivity,[status(thm)],[15533, 15531])).
% 79.05/51.32 tff(15535,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15536,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s4, s5))),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 79.05/51.32 tff(15537,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15536, 1851, 6681, 6641, 7448])).
% 79.05/51.32 tff(15538,plain,((~node6(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15539,plain,
% 79.05/51.32 (~node6(c_e_h_1, c_g, s4, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15538, 6641, 7448])).
% 79.05/51.32 tff(15540,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)), introduced(assumption)).
% 79.05/51.32 tff(15541,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s4)), introduced(assumption)).
% 79.05/51.32 tff(15542,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15543,plain,
% 79.05/51.32 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15544,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5))))),
% 79.05/51.32 inference(monotonicity,[status(thm)],[15543])).
% 79.05/51.32 tff(15545,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)))),
% 79.05/51.32 inference(transitivity,[status(thm)],[15544, 15542])).
% 79.05/51.32 tff(15546,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15547,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | (~node5(c_e_h_1, c_g, s4, s5))),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 79.05/51.32 tff(15548,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15547, 1888, 6661, 6641, 15541, 15540])).
% 79.05/51.32 tff(15549,plain,((~node5(c_e_h_1, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15550,plain,
% 79.05/51.32 (~node5(c_e_h_1, c_g, s4, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15549, 6641, 15541, 15540])).
% 79.05/51.32 tff(15551,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6707, 15550, 15539])).
% 79.05/51.32 tff(15552,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15553,plain,
% 79.05/51.32 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15552, 15530])).
% 79.05/51.32 tff(15554,plain,
% 79.05/51.32 (m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15553, 15523, 6641])).
% 79.05/51.32 tff(15555,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s3)), introduced(assumption)).
% 79.05/51.32 tff(15556,plain,
% 79.05/51.32 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15557,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15558,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 79.05/51.32 tff(15559,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15558, 2644, 7266, 15555])).
% 79.05/51.32 tff(15560,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15561,plain,
% 79.05/51.32 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15560, 7266])).
% 79.05/51.32 tff(15562,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)), introduced(assumption)).
% 79.05/51.32 tff(15563,assumption,(node20(c_e_h_1, c_c, s3)), introduced(assumption)).
% 79.05/51.32 tff(15564,plain,
% 79.05/51.32 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15565,plain,
% 79.05/51.32 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15566,plain,
% 79.05/51.32 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 79.05/51.32 tff(15567,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15566, 22, 15563, 15562])).
% 79.05/51.32 tff(15568,plain,((~node20(c_e_h_1, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15569,plain,
% 79.05/51.32 (~node20(c_e_h_1, c_c, s3)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15568, 15561])).
% 79.05/51.32 tff(15570,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.05/51.32 tff(15571,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node22(c_e_h_1, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node22(c_e_h_1, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15572,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node22(c_e_h_1, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15573,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node22(c_e_h_1, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 79.05/51.32 tff(15574,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15573, 437, 6895, 15570, 6886])).
% 79.05/51.32 tff(15575,plain,((~node22(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15576,plain,
% 79.05/51.32 (~node22(c_e_h_1, c_c, s3, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15575, 15570, 6886])).
% 79.05/51.32 tff(15577,assumption,(~node20(c_e_h_1, c_c, s3)), introduced(assumption)).
% 79.05/51.32 tff(15578,assumption,(node21(c_e_h_1, c_c, s3, s4)), introduced(assumption)).
% 79.05/51.32 tff(15579,plain,
% 79.05/51.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s3, s4)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15580,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s3, s4)))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15581,plain,
% 79.05/51.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s3, s4))),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15580, 15579])).
% 79.05/51.32 tff(15582,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15581, 348, 15578, 15570, 15577])).
% 79.05/51.32 tff(15583,plain,((~node21(c_e_h_1, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | node20(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15584,plain,
% 79.05/51.32 (~node21(c_e_h_1, c_c, s3, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15583, 15570, 15577])).
% 79.05/51.32 tff(15585,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6918, 15584, 15576])).
% 79.05/51.32 tff(15586,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | node20(c_e_h_1, c_c, s3) | m_and_h_gate_v_out(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15587,plain,
% 79.05/51.32 (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15586, 15521, 15569])).
% 79.05/51.32 tff(15588,plain,
% 79.05/51.32 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15589,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15590,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 79.05/51.32 tff(15591,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15590, 2486, 15587, 15554])).
% 79.05/51.32 tff(15592,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15593,plain,
% 79.05/51.32 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15592, 15517])).
% 79.05/51.32 tff(15594,plain,
% 79.05/51.32 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15595,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15596,plain,
% 79.05/51.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15595, 15594])).
% 79.05/51.32 tff(15597,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15596, 4673, 6658, 6594])).
% 79.05/51.32 tff(15598,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15599,plain,
% 79.05/51.32 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15598, 6658])).
% 79.05/51.32 tff(15600,plain,
% 79.05/51.32 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7445, 6658])).
% 79.05/51.32 tff(15601,plain,
% 79.05/51.32 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7453, 15600])).
% 79.05/51.32 tff(15602,plain,
% 79.05/51.32 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[7465, 15601])).
% 79.05/51.32 tff(15603,plain,
% 79.05/51.32 (m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6257, 6194, 6193])).
% 79.05/51.32 tff(15604,plain,
% 79.05/51.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15605,plain,
% 79.05/51.32 ((m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))),
% 79.05/51.32 inference(rewrite,[status(thm)],[])).
% 79.05/51.32 tff(15606,plain,
% 79.05/51.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5))))),
% 79.05/51.32 inference(monotonicity,[status(thm)],[15605])).
% 79.05/51.32 tff(15607,plain,
% 79.05/51.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5)))),
% 79.05/51.32 inference(transitivity,[status(thm)],[15606, 15604])).
% 79.05/51.32 tff(15608,plain,
% 79.05/51.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5)))),
% 79.05/51.32 inference(quant_inst,[status(thm)],[])).
% 79.05/51.32 tff(15609,plain,
% 79.05/51.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | (~node17(c_e_h_1, c_h, s5))),
% 79.05/51.32 inference(modus_ponens,[status(thm)],[15608, 15607])).
% 79.05/51.32 tff(15610,plain,
% 79.05/51.32 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15609, 1172, 6231])).
% 79.05/51.32 tff(15611,plain,
% 79.05/51.32 (~node17(c_e_h_1, c_h, s5)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15610, 15603])).
% 79.05/51.32 tff(15612,plain,
% 79.05/51.32 ($false),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[6215, 15611, 6204])).
% 79.05/51.32 tff(15613,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_c_h_element_v_in1(c_e_h_1, c_h, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.32 tff(15614,plain,
% 79.05/51.32 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 79.05/51.32 inference(unit_resolution,[status(thm)],[15613, 15602, 15599])).
% 79.05/51.33 tff(15615,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_i, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7468, 15614])).
% 79.05/51.33 tff(15616,plain,
% 79.05/51.33 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7492, 15615])).
% 79.05/51.33 tff(15617,plain,
% 79.05/51.33 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7596, 8, 15614])).
% 79.05/51.33 tff(15618,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_i, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7604, 15617])).
% 79.05/51.33 tff(15619,plain,
% 79.05/51.33 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7624, 15618, 15616])).
% 79.05/51.33 tff(15620,plain,
% 79.05/51.33 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15511, 15321])).
% 79.05/51.33 tff(15621,plain,
% 79.05/51.33 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15473, 15452])).
% 79.05/51.33 tff(15622,plain,
% 79.05/51.33 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15560, 15621])).
% 79.05/51.33 tff(15623,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_c, s3)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15568, 15622])).
% 79.05/51.33 tff(15624,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.05/51.33 tff(15625,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.05/51.33 tff(15626,plain,
% 79.05/51.33 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15627,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15628,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 79.05/51.33 tff(15629,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15628, 2644, 15452, 15625])).
% 79.05/51.33 tff(15630,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15631,plain,
% 79.05/51.33 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15630, 15452])).
% 79.05/51.33 tff(15632,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.05/51.33 tff(15633,assumption,(node20(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.05/51.33 tff(15634,plain,
% 79.05/51.33 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15635,plain,
% 79.05/51.33 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15636,plain,
% 79.05/51.33 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15635, 15634])).
% 79.05/51.33 tff(15637,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15636, 22, 15633, 15632])).
% 79.05/51.33 tff(15638,plain,((~node20(c_e_h_1, c_c, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15639,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_c, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15638, 15631])).
% 79.05/51.33 tff(15640,assumption,(node22(c_e_h_1, c_c, s4, s5)), introduced(assumption)).
% 79.05/51.33 tff(15641,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15642,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15643,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 79.05/51.33 tff(15644,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15643, 437, 15640, 6894, 15624])).
% 79.05/51.33 tff(15645,plain,((~node22(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15646,plain,
% 79.05/51.33 (~node22(c_e_h_1, c_c, s4, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15645, 15624, 6894])).
% 79.05/51.33 tff(15647,assumption,(~node20(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.05/51.33 tff(15648,assumption,(node21(c_e_h_1, c_c, s4, s5)), introduced(assumption)).
% 79.05/51.33 tff(15649,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15650,plain,
% 79.05/51.33 ((node20(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node21(c_e_h_1, c_c, s4, s5))) <=> (node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15651,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node21(c_e_h_1, c_c, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))))),
% 79.05/51.33 inference(monotonicity,[status(thm)],[15650])).
% 79.05/51.33 tff(15652,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node21(c_e_h_1, c_c, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.05/51.33 inference(transitivity,[status(thm)],[15651, 15649])).
% 79.05/51.33 tff(15653,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node21(c_e_h_1, c_c, s4, s5)))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15654,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s4) | (~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 79.05/51.33 tff(15655,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15654, 348, 15648, 15624, 15647])).
% 79.05/51.33 tff(15656,plain,((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | node20(c_e_h_1, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15657,plain,
% 79.05/51.33 (~node21(c_e_h_1, c_c, s4, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15656, 15624, 15647])).
% 79.05/51.33 tff(15658,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_c, s4, s5) | node22(c_e_h_1, c_c, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_c, s4, s5) | node22(c_e_h_1, c_c, s4, s5))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15659,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_c, s4, s5) | node22(c_e_h_1, c_c, s4, s5))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15660,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_c, s4, s5) | node22(c_e_h_1, c_c, s4, s5)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15659, 15658])).
% 79.05/51.33 tff(15661,plain,
% 79.05/51.33 (node21(c_e_h_1, c_c, s4, s5) | node22(c_e_h_1, c_c, s4, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15660, 383, 930])).
% 79.05/51.33 tff(15662,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15661, 15657, 15646])).
% 79.05/51.33 tff(15663,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | node20(c_e_h_1, c_c, s4) | m_and_h_gate_v_out(c_e_h_1, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15664,plain,
% 79.05/51.33 (m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15663, 15639, 15624])).
% 79.05/51.33 tff(15665,plain,
% 79.05/51.33 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15586, 15664, 15623])).
% 79.05/51.33 tff(15666,plain,
% 79.05/51.33 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7429, 15621])).
% 79.05/51.33 tff(15667,plain,
% 79.05/51.33 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7237, 15666])).
% 79.05/51.33 tff(15668,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_c, s2)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7229, 15667])).
% 79.05/51.33 tff(15669,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[7221, 15668, 15665])).
% 79.05/51.33 tff(15670,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15671,plain,
% 79.05/51.33 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15670, 15620])).
% 79.05/51.33 tff(15672,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s5)), introduced(assumption)).
% 79.05/51.33 tff(15673,plain,
% 79.05/51.33 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15674,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15675,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15674, 15673])).
% 79.05/51.33 tff(15676,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15675, 2486, 12656, 15672])).
% 79.05/51.33 tff(15677,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15678,plain,
% 79.05/51.33 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15677, 15671])).
% 79.05/51.33 tff(15679,plain,
% 79.05/51.33 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[13075, 13066])).
% 79.05/51.33 tff(15680,plain,
% 79.05/51.33 (~node20(c_e_h_1, c_d, s4)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[13083, 15679])).
% 79.05/51.33 tff(15681,plain,
% 79.05/51.33 (~m_and_h_gate_v_out(c_e_h_1, c_d, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[13109, 15680, 13023])).
% 79.05/51.33 tff(15682,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s5)), introduced(assumption)).
% 79.05/51.33 tff(15683,plain,
% 79.05/51.33 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15684,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15685,plain,
% 79.05/51.33 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 79.05/51.33 tff(15686,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15685, 2501, 13161, 15682])).
% 79.05/51.33 tff(15687,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15688,plain,
% 79.05/51.33 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15687, 15681])).
% 79.05/51.33 tff(15689,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)), introduced(assumption)).
% 79.05/51.33 tff(15690,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)), introduced(assumption)).
% 79.05/51.33 tff(15691,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.33 tff(15692,assumption,(node5(c_e_h_1, c_g, s5, s6)), introduced(assumption)).
% 79.05/51.33 tff(15693,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15694,plain,
% 79.05/51.33 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | (~node5(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15695,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | (~node5(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5)))),
% 79.05/51.33 inference(monotonicity,[status(thm)],[15694])).
% 79.05/51.33 tff(15696,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | (~node5(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5))),
% 79.05/51.33 inference(transitivity,[status(thm)],[15695, 15693])).
% 79.05/51.33 tff(15697,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | (~node5(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15698,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | (~node5(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 79.05/51.33 tff(15699,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15698, 1888, 15692, 15691, 15690, 15689])).
% 79.05/51.33 tff(15700,plain,((~node5(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15701,plain,
% 79.05/51.33 (~node5(c_e_h_1, c_g, s5, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15700, 15691, 15690, 15689])).
% 79.05/51.33 tff(15702,assumption,(node6(c_e_h_1, c_g, s5, s6)), introduced(assumption)).
% 79.05/51.33 tff(15703,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15704,plain,
% 79.05/51.33 (((~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15705,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6))))),
% 79.05/51.33 inference(monotonicity,[status(thm)],[15704])).
% 79.05/51.33 tff(15706,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)))),
% 79.05/51.33 inference(transitivity,[status(thm)],[15705, 15703])).
% 79.05/51.33 tff(15707,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15708,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~node6(c_e_h_1, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 79.05/51.33 tff(15709,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15708, 1851, 15702, 6658, 15691])).
% 79.05/51.33 tff(15710,plain,((~node6(c_e_h_1, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s6))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.33 tff(15711,plain,
% 79.05/51.33 (~node6(c_e_h_1, c_g, s5, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15710, 15691, 6658])).
% 79.05/51.33 tff(15712,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15713,plain,
% 79.05/51.33 ((node6(c_e_h_1, c_g, s5, s6) | node5(c_e_h_1, c_g, s5, s6) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6))),
% 79.05/51.33 inference(rewrite,[status(thm)],[])).
% 79.05/51.33 tff(15714,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s5, s6) | node5(c_e_h_1, c_g, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6)))),
% 79.05/51.33 inference(monotonicity,[status(thm)],[15713])).
% 79.05/51.33 tff(15715,plain,
% 79.05/51.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s5, s6) | node5(c_e_h_1, c_g, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6))),
% 79.05/51.33 inference(transitivity,[status(thm)],[15714, 15712])).
% 79.05/51.33 tff(15716,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s5, s6) | node5(c_e_h_1, c_g, s5, s6) | (~trans(s5, s6)))),
% 79.05/51.33 inference(quant_inst,[status(thm)],[])).
% 79.05/51.33 tff(15717,plain,
% 79.05/51.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6)),
% 79.05/51.33 inference(modus_ponens,[status(thm)],[15716, 15715])).
% 79.05/51.33 tff(15718,plain,
% 79.05/51.33 (node5(c_e_h_1, c_g, s5, s6) | node6(c_e_h_1, c_g, s5, s6)),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15717, 1870, 1343])).
% 79.05/51.33 tff(15719,plain,
% 79.05/51.33 ($false),
% 79.05/51.33 inference(unit_resolution,[status(thm)],[15718, 15711, 15701])).
% 79.05/51.33 tff(15720,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15721,plain,
% 79.05/51.34 (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15720, 6658, 15690, 15689])).
% 79.05/51.34 tff(15722,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s6)), introduced(assumption)).
% 79.05/51.34 tff(15723,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.34 tff(15724,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15725,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15726,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15725, 15724])).
% 79.05/51.34 tff(15727,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15726, 4673, 15723, 15722])).
% 79.05/51.34 tff(15728,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15729,plain,
% 79.05/51.34 (~m_c_h_element_v_in1(c_e_h_1, c_h, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15728, 15721])).
% 79.05/51.34 tff(15730,plain,
% 79.05/51.34 (m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[6327, 15729, 6264])).
% 79.05/51.34 tff(15731,plain,
% 79.05/51.34 (~node18(c_e_h_1, c_h, s5, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[6203, 15730, 6193])).
% 79.05/51.34 tff(15732,plain,
% 79.05/51.34 (m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[6257, 15730, 6193])).
% 79.05/51.34 tff(15733,plain,
% 79.05/51.34 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s5)) | (~node17(c_e_h_1, c_h, s5))),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15609, 1172, 15599])).
% 79.05/51.34 tff(15734,plain,
% 79.05/51.34 (~node17(c_e_h_1, c_h, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15733, 15732])).
% 79.05/51.34 tff(15735,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[6215, 15734, 15731])).
% 79.05/51.34 tff(15736,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_in2(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15737,plain,
% 79.05/51.34 (m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | (~m_c_h_element_v_out(c_e_h_1, c_h, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15736, 15688])).
% 79.05/51.34 tff(15738,plain,
% 79.05/51.34 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15737, 15678, 15602, 6658])).
% 79.05/51.34 tff(15739,plain,
% 79.05/51.34 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[7711, 8, 15738])).
% 79.05/51.34 tff(15740,plain,
% 79.05/51.34 (~node20(c_e_h_1, c_i, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[7719, 15739])).
% 79.05/51.34 tff(15741,plain,
% 79.05/51.34 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[7742, 15740, 15619])).
% 79.05/51.34 tff(15742,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15743,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15744,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 79.05/51.34 tff(15745,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15744, 527, 14796, 7744])).
% 79.05/51.34 tff(15746,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s8)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15747,plain,
% 79.05/51.34 (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15746, 15741])).
% 79.05/51.34 tff(15748,plain,
% 79.05/51.34 (node17(c_e_h_1, c_f, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[14833, 14763])).
% 79.05/51.34 tff(15749,plain,
% 79.05/51.34 (~node16(c_e_h_1, c_f, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[14825, 15748])).
% 79.05/51.34 tff(15750,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s8)), introduced(assumption)).
% 79.05/51.34 tff(15751,plain,
% 79.05/51.34 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s8)) | (~node17(c_e_h_1, c_f, s8))),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[14817, 541, 15750])).
% 79.05/51.34 tff(15752,plain,
% 79.05/51.34 (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15751, 15748])).
% 79.05/51.34 tff(15753,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[14792, 15752, 15749, 14755, 14756])).
% 79.05/51.34 tff(15754,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15755,plain,
% 79.05/51.34 ((~m_c_h_element_v_out(c_e_h_1, c_f, s9)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15754, 14754])).
% 79.05/51.34 tff(15756,plain,
% 79.05/51.34 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15755, 15747])).
% 79.05/51.34 tff(15757,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.05/51.34 tff(15758,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15759,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15760,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 79.05/51.34 tff(15761,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15760, 2644, 15321, 15757])).
% 79.05/51.34 tff(15762,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15763,plain,
% 79.05/51.34 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15762, 15321])).
% 79.05/51.34 tff(15764,assumption,(node20(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.05/51.34 tff(15765,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.05/51.34 tff(15766,plain,
% 79.05/51.34 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15767,plain,
% 79.05/51.34 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15768,plain,
% 79.05/51.34 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15767, 15766])).
% 79.05/51.34 tff(15769,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15768, 22, 15765, 15764])).
% 79.05/51.34 tff(15770,plain,((~node20(c_e_h_1, c_c, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15771,plain,
% 79.05/51.34 (~node20(c_e_h_1, c_c, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15770, 15763])).
% 79.05/51.34 tff(15772,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.05/51.34 tff(15773,assumption,(node22(c_e_h_1, c_c, s5, s6)), introduced(assumption)).
% 79.05/51.34 tff(15774,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15775,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15776,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 79.05/51.34 tff(15777,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15776, 437, 12656, 15773, 15772])).
% 79.05/51.34 tff(15778,plain,((~node22(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15779,plain,
% 79.05/51.34 (~node22(c_e_h_1, c_c, s5, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15778, 15772, 12656])).
% 79.05/51.34 tff(15780,assumption,(~node20(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.05/51.34 tff(15781,assumption,(node21(c_e_h_1, c_c, s5, s6)), introduced(assumption)).
% 79.05/51.34 tff(15782,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node21(c_e_h_1, c_c, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node21(c_e_h_1, c_c, s5, s6)))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15783,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node21(c_e_h_1, c_c, s5, s6)))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15784,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node21(c_e_h_1, c_c, s5, s6))),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 79.05/51.34 tff(15785,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15784, 348, 15781, 15772, 15780])).
% 79.05/51.34 tff(15786,plain,((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | node20(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15787,plain,
% 79.05/51.34 (~node21(c_e_h_1, c_c, s5, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15786, 15772, 15780])).
% 79.05/51.34 tff(15788,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_c, s5, s6) | node22(c_e_h_1, c_c, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_c, s5, s6) | node22(c_e_h_1, c_c, s5, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15789,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_c, s5, s6) | node22(c_e_h_1, c_c, s5, s6))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15790,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_c, s5, s6) | node22(c_e_h_1, c_c, s5, s6)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 79.05/51.34 tff(15791,plain,
% 79.05/51.34 (node21(c_e_h_1, c_c, s5, s6) | node22(c_e_h_1, c_c, s5, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15790, 383, 1343])).
% 79.05/51.34 tff(15792,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15791, 15787, 15779])).
% 79.05/51.34 tff(15793,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15794,plain,
% 79.05/51.34 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15793, 15671, 15771])).
% 79.05/51.34 tff(15795,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.34 tff(15796,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.05/51.34 tff(15797,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15798,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15799,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 79.05/51.34 tff(15800,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15799, 2486, 15796, 15795])).
% 79.05/51.34 tff(15801,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15802,plain,
% 79.05/51.34 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15801, 15794])).
% 79.05/51.34 tff(15803,plain,
% 79.05/51.34 ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s4)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[13135, 13066])).
% 79.05/51.34 tff(15804,plain,
% 79.05/51.34 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15803, 12941])).
% 79.05/51.34 tff(15805,plain,
% 79.05/51.34 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[13143, 15804])).
% 79.05/51.34 tff(15806,plain,
% 79.05/51.34 (~node20(c_e_h_1, c_d, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[13151, 15805])).
% 79.05/51.34 tff(15807,plain,
% 79.05/51.34 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s5)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15687, 13161])).
% 79.05/51.34 tff(15808,plain,
% 79.05/51.34 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15736, 15807, 15690, 6658, 6193])).
% 79.05/51.34 tff(15809,plain,
% 79.05/51.34 (m_c_h_element_v_in1(c_e_h_1, c_h, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[6405, 15808, 6346])).
% 79.05/51.34 tff(15810,plain,
% 79.05/51.34 (~m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[13174, 13161, 13153])).
% 79.05/51.34 tff(15811,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.34 tff(15812,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15813,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15814,plain,
% 79.05/51.34 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 79.05/51.34 tff(15815,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15814, 2501, 13411, 15811])).
% 79.05/51.34 tff(15816,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)) | m_and_h_gate_v_out(c_e_h_1, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15817,plain,
% 79.05/51.34 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15816, 15810])).
% 79.05/51.34 tff(15818,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.34 tff(15819,plain,
% 79.05/51.34 (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15720, 15807, 15690, 6658])).
% 79.05/51.34 tff(15820,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)), introduced(assumption)).
% 79.05/51.34 tff(15821,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s7)), introduced(assumption)).
% 79.05/51.34 tff(15822,assumption,(node5(c_e_h_1, c_g, s6, s7)), introduced(assumption)).
% 79.05/51.34 tff(15823,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15824,plain,
% 79.05/51.34 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | (~node5(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15825,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | (~node5(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6)))),
% 79.05/51.34 inference(monotonicity,[status(thm)],[15824])).
% 79.05/51.34 tff(15826,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | (~node5(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(transitivity,[status(thm)],[15825, 15823])).
% 79.05/51.34 tff(15827,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | (~node5(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15828,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | (~node5(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 79.05/51.34 tff(15829,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15828, 1888, 15822, 15821, 15818, 15820])).
% 79.05/51.34 tff(15830,plain,((~node5(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15831,plain,
% 79.05/51.34 (~node5(c_e_h_1, c_g, s6, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15830, 15821, 15818, 15820])).
% 79.05/51.34 tff(15832,assumption,(node6(c_e_h_1, c_g, s6, s7)), introduced(assumption)).
% 79.05/51.34 tff(15833,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7)))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15834,plain,
% 79.05/51.34 (((~node6(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7)))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15835,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7))))),
% 79.05/51.34 inference(monotonicity,[status(thm)],[15834])).
% 79.05/51.34 tff(15836,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7)))),
% 79.05/51.34 inference(transitivity,[status(thm)],[15835, 15833])).
% 79.05/51.34 tff(15837,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15838,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~node6(c_e_h_1, c_g, s6, s7))),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15837, 15836])).
% 79.05/51.34 tff(15839,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15838, 1851, 15832, 15723, 15821])).
% 79.05/51.34 tff(15840,plain,((~node6(c_e_h_1, c_g, s6, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s7))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15841,plain,
% 79.05/51.34 (~node6(c_e_h_1, c_g, s6, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15840, 15821, 15723])).
% 79.05/51.34 tff(15842,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15843,plain,
% 79.05/51.34 ((node6(c_e_h_1, c_g, s6, s7) | node5(c_e_h_1, c_g, s6, s7) | (~trans(s6, s7))) <=> ((~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7))),
% 79.05/51.34 inference(rewrite,[status(thm)],[])).
% 79.05/51.34 tff(15844,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s6, s7) | node5(c_e_h_1, c_g, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7)))),
% 79.05/51.34 inference(monotonicity,[status(thm)],[15843])).
% 79.05/51.34 tff(15845,plain,
% 79.05/51.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s6, s7) | node5(c_e_h_1, c_g, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7))),
% 79.05/51.34 inference(transitivity,[status(thm)],[15844, 15842])).
% 79.05/51.34 tff(15846,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s6, s7) | node5(c_e_h_1, c_g, s6, s7) | (~trans(s6, s7)))),
% 79.05/51.34 inference(quant_inst,[status(thm)],[])).
% 79.05/51.34 tff(15847,plain,
% 79.05/51.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7)),
% 79.05/51.34 inference(modus_ponens,[status(thm)],[15846, 15845])).
% 79.05/51.34 tff(15848,plain,
% 79.05/51.34 (node5(c_e_h_1, c_g, s6, s7) | node6(c_e_h_1, c_g, s6, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15847, 1870, 1685])).
% 79.05/51.34 tff(15849,plain,
% 79.05/51.34 ($false),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15848, 15841, 15831])).
% 79.05/51.34 tff(15850,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.34 tff(15851,plain,
% 79.05/51.34 (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 79.05/51.34 inference(unit_resolution,[status(thm)],[15850, 15819, 15818, 15817])).
% 79.05/51.34 tff(15852,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s7)), introduced(assumption)).
% 79.05/51.34 tff(15853,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s7)), introduced(assumption)).
% 79.05/51.34 tff(15854,plain,
% 79.05/51.34 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15855,plain,
% 79.05/51.35 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15856,plain,
% 79.05/51.35 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 79.05/51.35 tff(15857,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15856, 4673, 15853, 15852])).
% 79.05/51.35 tff(15858,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15859,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15858, 15851, 15809])).
% 79.05/51.35 tff(15860,plain,(m_and_h_gate_v_out(c_e_h_1, c_d, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | node20(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15861,plain,
% 79.05/51.35 (m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5) | node20(c_e_h_1, c_d, s5)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15860, 15681])).
% 79.05/51.35 tff(15862,plain,
% 79.05/51.35 (m_or_h_gate_v_in1(c_e_h_1, c_g, s6) | (~m_c_h_element_v_out(c_e_h_1, c_h, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15861, 15806])).
% 79.05/51.35 tff(15863,plain,
% 79.05/51.35 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15862, 15802, 15678, 6658, 15602])).
% 79.05/51.35 tff(15864,plain,
% 79.05/51.35 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[7850, 15863])).
% 79.05/51.35 tff(15865,plain,
% 79.05/51.35 (~node20(c_e_h_1, c_i, s8)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[7858, 15864])).
% 79.05/51.35 tff(15866,plain,
% 79.05/51.35 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[7881, 15741, 15865])).
% 79.05/51.35 tff(15867,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s9)), introduced(assumption)).
% 79.05/51.35 tff(15868,plain,
% 79.05/51.35 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15869,plain,
% 79.05/51.35 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15870,plain,
% 79.05/51.35 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 79.05/51.35 tff(15871,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15870, 527, 7884, 15867])).
% 79.05/51.35 tff(15872,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15873,plain,
% 79.05/51.35 (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15872, 15866])).
% 79.05/51.35 tff(15874,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[14952, 15873, 15756, 12658])).
% 79.05/51.35 tff(15875,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~m_c_h_element_v_out(c_e_h_1, c_f, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15876,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15875, 15593, 15420, 12658])).
% 79.05/51.35 tff(15877,plain,(~m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15878,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.05/51.35 tff(15879,assumption,(node18(c_e_h_1, c_f, s10, s11)), introduced(assumption)).
% 79.05/51.35 tff(15880,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15881,plain,
% 79.05/51.35 (((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~node18(c_e_h_1, c_f, s10, s11))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15882,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~node18(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11))))),
% 79.05/51.35 inference(monotonicity,[status(thm)],[15881])).
% 79.05/51.35 tff(15883,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~node18(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(transitivity,[status(thm)],[15882, 15880])).
% 79.05/51.35 tff(15884,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~node18(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15885,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node18(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 79.05/51.35 tff(15886,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15885, 481, 12657, 15879, 15878])).
% 79.05/51.35 tff(15887,plain,((~node18(c_e_h_1, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15888,plain,
% 79.05/51.35 (~node18(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15887, 15878, 12657])).
% 79.05/51.35 tff(15889,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.05/51.35 tff(15890,assumption,(node15(c_e_h_1, c_f, s10, s11)), introduced(assumption)).
% 79.05/51.35 tff(15891,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node15(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node15(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15892,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node15(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15893,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node15(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 79.05/51.35 tff(15894,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15893, 612, 12657, 15890, 15878])).
% 79.05/51.35 tff(15895,plain,((~node15(c_e_h_1, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15896,plain,
% 79.05/51.35 (~node15(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15895, 15878, 12657])).
% 79.05/51.35 tff(15897,assumption,(node17(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.05/51.35 tff(15898,plain,
% 79.05/51.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~node17(c_e_h_1, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~node17(c_e_h_1, c_f, s10)))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15899,plain,
% 79.05/51.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~node17(c_e_h_1, c_f, s10)))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15900,plain,
% 79.05/51.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~node17(c_e_h_1, c_f, s10))),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 79.05/51.35 tff(15901,plain,
% 79.05/51.35 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15900, 541, 15897])).
% 79.05/51.35 tff(15902,plain,
% 79.05/51.35 (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15901, 15889])).
% 79.05/51.35 tff(15903,assumption,(~node15(c_e_h_1, c_f, s10, s11)), introduced(assumption)).
% 79.05/51.35 tff(15904,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.05/51.35 tff(15905,assumption,(node14(c_e_h_1, c_f, s10, s11)), introduced(assumption)).
% 79.05/51.35 tff(15906,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15907,plain,
% 79.05/51.35 (((~node14(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11))) <=> (m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15908,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11))))),
% 79.05/51.35 inference(monotonicity,[status(thm)],[15907])).
% 79.05/51.35 tff(15909,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(transitivity,[status(thm)],[15908, 15906])).
% 79.05/51.35 tff(15910,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15911,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node14(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 79.05/51.35 tff(15912,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15911, 575, 12657, 15905, 15904])).
% 79.05/51.35 tff(15913,plain,((~node14(c_e_h_1, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15914,plain,
% 79.05/51.35 (~node14(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15913, 15902, 12657])).
% 79.05/51.35 tff(15915,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_f, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15916,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15917,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 79.05/51.35 tff(15918,plain,
% 79.05/51.35 (node19(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15917, 494, 8015])).
% 79.05/51.35 tff(15919,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15920,plain,
% 79.05/51.35 ((node16(c_e_h_1, c_f, s10) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11))) <=> (node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15921,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s10) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(monotonicity,[status(thm)],[15920])).
% 79.05/51.35 tff(15922,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s10) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11))),
% 79.05/51.35 inference(transitivity,[status(thm)],[15921, 15919])).
% 79.05/51.35 tff(15923,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s10) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15924,plain,
% 79.05/51.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 79.05/51.35 tff(15925,plain,
% 79.05/51.35 (node16(c_e_h_1, c_f, s10) | node14(c_e_h_1, c_f, s10, s11) | node15(c_e_h_1, c_f, s10, s11)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15924, 594, 15918])).
% 79.05/51.35 tff(15926,plain,
% 79.05/51.35 (node16(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15925, 15914, 15903])).
% 79.05/51.35 tff(15927,plain,
% 79.05/51.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10))),
% 79.05/51.35 inference(rewrite,[status(thm)],[])).
% 79.05/51.35 tff(15928,plain,
% 79.05/51.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10))),
% 79.05/51.35 inference(quant_inst,[status(thm)],[])).
% 79.05/51.35 tff(15929,plain,
% 79.05/51.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s10)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 79.05/51.35 tff(15930,plain,
% 79.05/51.35 ($false),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15929, 559, 15926, 15902, 15889])).
% 79.05/51.35 tff(15931,plain,(m_c_h_element_v_in2(c_e_h_1, c_f, s10) | node15(c_e_h_1, c_f, s10, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | (~node17(c_e_h_1, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.35 tff(15932,plain,
% 79.05/51.35 (~node17(c_e_h_1, c_f, s10)),
% 79.05/51.35 inference(unit_resolution,[status(thm)],[15931, 15896, 15889, 12657])).
% 79.05/51.35 tff(15933,plain,
% 79.05/51.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11))),
% 79.05/51.36 inference(rewrite,[status(thm)],[])).
% 79.05/51.36 tff(15934,plain,
% 79.05/51.36 ((node17(c_e_h_1, c_f, s10) | node18(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11))) <=> (node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11))),
% 79.05/51.36 inference(rewrite,[status(thm)],[])).
% 79.05/51.36 tff(15935,plain,
% 79.05/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s10) | node18(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.36 inference(monotonicity,[status(thm)],[15934])).
% 79.05/51.36 tff(15936,plain,
% 79.05/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s10) | node18(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11))),
% 79.05/51.36 inference(transitivity,[status(thm)],[15935, 15933])).
% 79.05/51.36 tff(15937,plain,
% 79.05/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s10) | node18(c_e_h_1, c_f, s10, s11) | (~node19(c_e_h_1, c_f, s10, s11)))),
% 79.05/51.36 inference(quant_inst,[status(thm)],[])).
% 79.05/51.36 tff(15938,plain,
% 79.05/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_f, s10) | (~node19(c_e_h_1, c_f, s10, s11)) | node18(c_e_h_1, c_f, s10, s11)),
% 79.05/51.36 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 79.05/51.36 tff(15939,plain,
% 79.05/51.36 (node17(c_e_h_1, c_f, s10) | node18(c_e_h_1, c_f, s10, s11)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15938, 508, 15918])).
% 79.05/51.36 tff(15940,plain,
% 79.05/51.36 ($false),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15939, 15932, 15888])).
% 79.05/51.36 tff(15941,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11))), inference(lemma,lemma(discharge,[]))).
% 79.05/51.36 tff(15942,plain,
% 79.05/51.36 (m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~m_c_h_element_v_out(c_e_h_1, c_f, s11))),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15941, 15877])).
% 79.05/51.36 tff(15943,plain,
% 79.05/51.36 (m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15942, 12657])).
% 79.05/51.36 tff(15944,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.05/51.36 tff(15945,plain,
% 79.05/51.36 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 79.05/51.36 inference(rewrite,[status(thm)],[])).
% 79.05/51.36 tff(15946,plain,
% 79.05/51.36 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10))),
% 79.05/51.36 inference(quant_inst,[status(thm)],[])).
% 79.05/51.36 tff(15947,plain,
% 79.05/51.36 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 79.05/51.36 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 79.05/51.36 tff(15948,plain,
% 79.05/51.36 ($false),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15947, 527, 7993, 15944])).
% 79.05/51.36 tff(15949,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.36 tff(15950,plain,
% 79.05/51.36 (m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15949, 15943])).
% 79.05/51.36 tff(15951,plain,
% 79.05/51.36 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15677, 12656])).
% 79.05/51.36 tff(15952,plain,
% 79.05/51.36 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15737, 15951, 15602, 6658])).
% 79.05/51.36 tff(15953,plain,
% 79.05/51.36 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[7711, 8, 15952])).
% 79.05/51.36 tff(15954,plain,
% 79.05/51.36 (~node20(c_e_h_1, c_i, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[7719, 15953])).
% 79.05/51.36 tff(15955,plain,
% 79.05/51.36 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[7742, 15954, 15619])).
% 79.05/51.36 tff(15956,plain,
% 79.05/51.36 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15278, 15346])).
% 79.05/51.36 tff(15957,plain,
% 79.05/51.36 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15380, 15318])).
% 79.05/51.36 tff(15958,plain,
% 79.05/51.36 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15409, 15957, 15280])).
% 79.05/51.36 tff(15959,plain,
% 79.05/51.36 ($false),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15417, 15958, 15956])).
% 79.05/51.36 tff(15960,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.36 tff(15961,plain,
% 79.05/51.36 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15960, 15280])).
% 79.05/51.36 tff(15962,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.05/51.36 tff(15963,plain,
% 79.05/51.36 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 79.05/51.36 inference(rewrite,[status(thm)],[])).
% 79.05/51.36 tff(15964,plain,
% 79.05/51.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 79.05/51.36 inference(quant_inst,[status(thm)],[])).
% 79.05/51.36 tff(15965,plain,
% 79.05/51.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.05/51.36 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 79.05/51.36 tff(15966,plain,
% 79.05/51.36 ($false),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15965, 2644, 15281, 15962])).
% 79.05/51.36 tff(15967,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.36 tff(15968,plain,
% 79.05/51.36 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15967, 15961])).
% 79.05/51.36 tff(15969,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.05/51.36 tff(15970,assumption,(node20(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.05/51.36 tff(15971,plain,
% 79.05/51.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))),
% 79.05/51.36 inference(rewrite,[status(thm)],[])).
% 79.05/51.36 tff(15972,plain,
% 79.05/51.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))),
% 79.05/51.36 inference(quant_inst,[status(thm)],[])).
% 79.05/51.36 tff(15973,plain,
% 79.05/51.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.05/51.36 inference(modus_ponens,[status(thm)],[15972, 15971])).
% 79.05/51.36 tff(15974,plain,
% 79.05/51.36 ($false),
% 79.05/51.36 inference(unit_resolution,[status(thm)],[15973, 22, 15970, 15969])).
% 79.05/51.36 tff(15975,plain,((~node20(c_e_h_1, c_c, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.05/51.36 tff(15976,plain,
% 79.05/51.36 (~node20(c_e_h_1, c_c, s6)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15975, 15968])).
% 79.10/51.36 tff(15977,plain,
% 79.10/51.36 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15419, 15280])).
% 79.10/51.36 tff(15978,plain,
% 79.10/51.36 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15762, 15977])).
% 79.10/51.36 tff(15979,plain,
% 79.10/51.36 (~node20(c_e_h_1, c_c, s5)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15770, 15978])).
% 79.10/51.36 tff(15980,plain,
% 79.10/51.36 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15793, 15979, 12656])).
% 79.10/51.36 tff(15981,plain,
% 79.10/51.36 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15801, 15796])).
% 79.10/51.36 tff(15982,plain,
% 79.10/51.36 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15860, 13153, 15681, 15690, 15981, 6193, 6658])).
% 79.10/51.36 tff(15983,assumption,(~node20(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.10/51.36 tff(15984,plain,
% 79.10/51.36 (~m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[13449, 15810, 13436])).
% 79.10/51.36 tff(15985,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s8)), introduced(assumption)).
% 79.10/51.36 tff(15986,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)), introduced(assumption)).
% 79.10/51.36 tff(15987,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.10/51.36 tff(15988,assumption,(node22(c_e_h_1, c_c, s6, s7)), introduced(assumption)).
% 79.10/51.36 tff(15989,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(15990,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(15991,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[15990, 15989])).
% 79.10/51.36 tff(15992,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15991, 437, 15796, 15988, 15987])).
% 79.10/51.36 tff(15993,plain,((~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.36 tff(15994,plain,
% 79.10/51.36 (~node22(c_e_h_1, c_c, s6, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15993, 15987, 15796])).
% 79.10/51.36 tff(15995,assumption,(node21(c_e_h_1, c_c, s6, s7)), introduced(assumption)).
% 79.10/51.36 tff(15996,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node21(c_e_h_1, c_c, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node21(c_e_h_1, c_c, s6, s7)))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(15997,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node21(c_e_h_1, c_c, s6, s7)))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(15998,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | (~node21(c_e_h_1, c_c, s6, s7))),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 79.10/51.36 tff(15999,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[15998, 348, 15995, 15987, 15983])).
% 79.10/51.36 tff(16000,plain,((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | node20(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.36 tff(16001,plain,
% 79.10/51.36 (~node21(c_e_h_1, c_c, s6, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16000, 15987, 15983])).
% 79.10/51.36 tff(16002,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_c, s6, s7) | node22(c_e_h_1, c_c, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_c, s6, s7) | node22(c_e_h_1, c_c, s6, s7))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16003,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_c, s6, s7) | node22(c_e_h_1, c_c, s6, s7))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(16004,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_c, s6, s7) | node22(c_e_h_1, c_c, s6, s7)),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 79.10/51.36 tff(16005,plain,
% 79.10/51.36 (node21(c_e_h_1, c_c, s6, s7) | node22(c_e_h_1, c_c, s6, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16004, 383, 1685])).
% 79.10/51.36 tff(16006,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16005, 16001, 15994])).
% 79.10/51.36 tff(16007,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.36 tff(16008,plain,
% 79.10/51.36 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16007, 15796, 15983])).
% 79.10/51.36 tff(16009,plain,
% 79.10/51.36 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16010,plain,
% 79.10/51.36 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(16011,plain,
% 79.10/51.36 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 79.10/51.36 tff(16012,plain,
% 79.10/51.36 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16011, 2486, 16008])).
% 79.10/51.36 tff(16013,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)), introduced(assumption)).
% 79.10/51.36 tff(16014,assumption,(node5(c_e_h_1, c_g, s7, s8)), introduced(assumption)).
% 79.10/51.36 tff(16015,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16016,plain,
% 79.10/51.36 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16017,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8))))),
% 79.10/51.36 inference(monotonicity,[status(thm)],[16016])).
% 79.10/51.36 tff(16018,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(transitivity,[status(thm)],[16017, 16015])).
% 79.10/51.36 tff(16019,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(16020,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | (~node5(c_e_h_1, c_g, s7, s8))),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 79.10/51.36 tff(16021,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16020, 1888, 16014, 15985, 16013, 15986])).
% 79.10/51.36 tff(16022,plain,((~node5(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.36 tff(16023,plain,
% 79.10/51.36 (~node5(c_e_h_1, c_g, s7, s8)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16022, 15985, 16013, 15986])).
% 79.10/51.36 tff(16024,assumption,(node6(c_e_h_1, c_g, s7, s8)), introduced(assumption)).
% 79.10/51.36 tff(16025,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16026,plain,
% 79.10/51.36 (((~node6(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16027,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8))))),
% 79.10/51.36 inference(monotonicity,[status(thm)],[16026])).
% 79.10/51.36 tff(16028,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(transitivity,[status(thm)],[16027, 16025])).
% 79.10/51.36 tff(16029,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(16030,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | (~node6(c_e_h_1, c_g, s7, s8))),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 79.10/51.36 tff(16031,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16030, 1851, 15853, 16024, 15985])).
% 79.10/51.36 tff(16032,plain,((~node6(c_e_h_1, c_g, s7, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.36 tff(16033,plain,
% 79.10/51.36 (~node6(c_e_h_1, c_g, s7, s8)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16032, 15985, 15853])).
% 79.10/51.36 tff(16034,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16035,plain,
% 79.10/51.36 ((node6(c_e_h_1, c_g, s7, s8) | node5(c_e_h_1, c_g, s7, s8) | (~trans(s7, s8))) <=> ((~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8))),
% 79.10/51.36 inference(rewrite,[status(thm)],[])).
% 79.10/51.36 tff(16036,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s7, s8) | node5(c_e_h_1, c_g, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8)))),
% 79.10/51.36 inference(monotonicity,[status(thm)],[16035])).
% 79.10/51.36 tff(16037,plain,
% 79.10/51.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s7, s8) | node5(c_e_h_1, c_g, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8))),
% 79.10/51.36 inference(transitivity,[status(thm)],[16036, 16034])).
% 79.10/51.36 tff(16038,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s7, s8) | node5(c_e_h_1, c_g, s7, s8) | (~trans(s7, s8)))),
% 79.10/51.36 inference(quant_inst,[status(thm)],[])).
% 79.10/51.36 tff(16039,plain,
% 79.10/51.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8)),
% 79.10/51.36 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 79.10/51.36 tff(16040,plain,
% 79.10/51.36 (node5(c_e_h_1, c_g, s7, s8) | node6(c_e_h_1, c_g, s7, s8)),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16039, 1870, 2456])).
% 79.10/51.36 tff(16041,plain,
% 79.10/51.36 ($false),
% 79.10/51.36 inference(unit_resolution,[status(thm)],[16040, 16033, 16023])).
% 79.10/51.37 tff(16042,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16043,plain,
% 79.10/51.37 (m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16042, 16012, 15985, 15986])).
% 79.10/51.37 tff(16044,plain,
% 79.10/51.37 (~node6(c_e_h_1, c_g, s6, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15840, 16043, 15723])).
% 79.10/51.37 tff(16045,plain,
% 79.10/51.37 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15799, 2486, 15796])).
% 79.10/51.37 tff(16046,plain,
% 79.10/51.37 (~node5(c_e_h_1, c_g, s6, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15830, 16043, 15820, 16045])).
% 79.10/51.37 tff(16047,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15848, 16046, 16044])).
% 79.10/51.37 tff(16048,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s6) | m_or_h_gate_v_in2(c_e_h_1, c_g, s6) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | node20(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16049,plain,
% 79.10/51.37 (m_or_h_gate_v_in2(c_e_h_1, c_g, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16048, 15817, 15985, 15983, 15796, 15819])).
% 79.10/51.37 tff(16050,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s7)), introduced(assumption)).
% 79.10/51.37 tff(16051,plain,
% 79.10/51.37 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16052,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16053,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 79.10/51.37 tff(16054,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16053, 2501, 13503, 16050])).
% 79.10/51.37 tff(16055,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16056,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16055, 16049, 15984])).
% 79.10/51.37 tff(16057,plain,(m_and_h_gate_v_out(c_e_h_1, c_d, s5) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_d, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16058,plain,
% 79.10/51.37 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16057, 13153, 13436, 15796, 15983, 15681, 6658, 15690])).
% 79.10/51.37 tff(16059,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s8)), introduced(assumption)).
% 79.10/51.37 tff(16060,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s8)), introduced(assumption)).
% 79.10/51.37 tff(16061,plain,
% 79.10/51.37 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16062,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16063,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 79.10/51.37 tff(16064,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16063, 4673, 16060, 16059])).
% 79.10/51.37 tff(16065,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16066,plain,
% 79.10/51.37 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16065, 16058])).
% 79.10/51.37 tff(16067,plain,
% 79.10/51.37 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[6489, 16066, 15982])).
% 79.10/51.37 tff(16068,plain,
% 79.10/51.37 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7956, 16067])).
% 79.10/51.37 tff(16069,plain,
% 79.10/51.37 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7850, 15982])).
% 79.10/51.37 tff(16070,plain,
% 79.10/51.37 (~node20(c_e_h_1, c_i, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7858, 16069])).
% 79.10/51.37 tff(16071,plain,
% 79.10/51.37 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7881, 16070, 7744])).
% 79.10/51.37 tff(16072,plain,
% 79.10/51.37 (node20(c_e_h_1, c_i, s9)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7990, 16071, 7967])).
% 79.10/51.37 tff(16073,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[7964, 16072, 16068])).
% 79.10/51.37 tff(16074,plain,(node20(c_e_h_1, c_d, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8) | node20(c_e_h_1, c_d, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s6) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16075,plain,
% 79.10/51.37 ((~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | m_and_h_gate_v_out(c_e_h_1, c_i, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s6) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16074, 15806, 14288])).
% 79.10/51.37 tff(16076,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16075, 15980, 15976, 15955, 7967, 6658, 15951, 15602])).
% 79.10/51.37 tff(16077,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16078,plain,
% 79.10/51.37 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16077, 15950, 6658, 12656])).
% 79.10/51.37 tff(16079,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), introduced(assumption)).
% 79.10/51.37 tff(16080,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7)))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16081,plain,
% 79.10/51.37 (((~node12(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7)))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16082,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7))))),
% 79.10/51.37 inference(monotonicity,[status(thm)],[16081])).
% 79.10/51.37 tff(16083,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7)))),
% 79.10/51.37 inference(transitivity,[status(thm)],[16082, 16080])).
% 79.10/51.37 tff(16084,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16085,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6) | (~node12(c_e_h_1, c_a, s6, s7))),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 79.10/51.37 tff(16086,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16085, 1082, 15349, 15382, 15373])).
% 79.10/51.37 tff(16087,plain,((~node12(c_e_h_1, c_a, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16088,plain,
% 79.10/51.37 (~node12(c_e_h_1, c_a, s6, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16087, 15382, 15373])).
% 79.10/51.37 tff(16089,plain,
% 79.10/51.37 (node13(c_e_h_1, c_a, s6, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15369, 16088])).
% 79.10/51.37 tff(16090,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | (~node13(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | (~node13(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16091,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | (~node13(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16092,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | (~node13(c_e_h_1, c_a, s6, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 79.10/51.37 tff(16093,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16092, 1004, 16089, 15382, 15281])).
% 79.10/51.37 tff(16094,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16095,plain,
% 79.10/51.37 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16094, 15382, 15281])).
% 79.10/51.37 tff(16096,plain,
% 79.10/51.37 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_user_v_req(c_e_h_1, c_u, s6))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_user_v_req(c_e_h_1, c_u, s6))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16097,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_user_v_req(c_e_h_1, c_u, s6))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16098,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)) | m_user_v_req(c_e_h_1, c_u, s6)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16097, 16096])).
% 79.10/51.37 tff(16099,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16098, 2765, 15178, 15348])).
% 79.10/51.37 tff(16100,plain,(m_user_v_req(c_e_h_1, c_u, s6) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16101,plain,
% 79.10/51.37 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16100, 16095])).
% 79.10/51.37 tff(16102,plain,
% 79.10/51.37 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15278, 16101])).
% 79.10/51.37 tff(16103,plain,
% 79.10/51.37 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15417, 16102])).
% 79.10/51.37 tff(16104,plain,
% 79.10/51.37 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[15409, 16103, 15382])).
% 79.10/51.37 tff(16105,assumption,(~m_user_v_req(c_e_h_1, c_u, s8)), introduced(assumption)).
% 79.10/51.37 tff(16106,assumption,(m_user_v_ack(c_e_h_1, c_u, s7)), introduced(assumption)).
% 79.10/51.37 tff(16107,plain,
% 79.10/51.37 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16108,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16109,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 79.10/51.37 tff(16110,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16109, 7367, 16106, 9410])).
% 79.10/51.37 tff(16111,plain,((~m_user_v_ack(c_e_h_1, c_u, s7)) | m_and_h_gate_v_out(c_e_h_1, c_r, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16112,plain,
% 79.10/51.37 (~m_user_v_ack(c_e_h_1, c_u, s7)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16111, 9409])).
% 79.10/51.37 tff(16113,assumption,(node7(c_e_h_1, c_u, s7, s8)), introduced(assumption)).
% 79.10/51.37 tff(16114,assumption,(~m_user_v_ack(c_e_h_1, c_u, s7)), introduced(assumption)).
% 79.10/51.37 tff(16115,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_req(c_e_h_1, c_u, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_req(c_e_h_1, c_u, s8))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16116,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_req(c_e_h_1, c_u, s8))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16117,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_req(c_e_h_1, c_u, s8)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 79.10/51.37 tff(16118,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16117, 7383, 16114, 16113, 16105])).
% 79.10/51.37 tff(16119,plain,((~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_req(c_e_h_1, c_u, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16120,plain,
% 79.10/51.37 ((~node7(c_e_h_1, c_u, s7, s8)) | m_user_v_req(c_e_h_1, c_u, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16119, 16112])).
% 79.10/51.37 tff(16121,plain,
% 79.10/51.37 (~node7(c_e_h_1, c_u, s7, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16120, 16105])).
% 79.10/51.37 tff(16122,assumption,(node8(c_e_h_1, c_u, s7, s8)), introduced(assumption)).
% 79.10/51.37 tff(16123,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16124,plain,
% 79.10/51.37 ((m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)) | (~m_user_v_req(c_e_h_1, c_u, s7))) <=> ((~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16125,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)) | (~m_user_v_req(c_e_h_1, c_u, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8))))),
% 79.10/51.37 inference(monotonicity,[status(thm)],[16124])).
% 79.10/51.37 tff(16126,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)) | (~m_user_v_req(c_e_h_1, c_u, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)))),
% 79.10/51.37 inference(transitivity,[status(thm)],[16125, 16123])).
% 79.10/51.37 tff(16127,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8)) | (~m_user_v_req(c_e_h_1, c_u, s7)))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16128,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s7)) | m_user_v_req(c_e_h_1, c_u, s8) | (~node8(c_e_h_1, c_u, s7, s8))),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 79.10/51.37 tff(16129,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16128, 7402, 16122, 16105, 15412])).
% 79.10/51.37 tff(16130,plain,((~node8(c_e_h_1, c_u, s7, s8)) | m_user_v_req(c_e_h_1, c_u, s8) | (~m_user_v_req(c_e_h_1, c_u, s7))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16131,plain,
% 79.10/51.37 (~node8(c_e_h_1, c_u, s7, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16130, 16105, 15412])).
% 79.10/51.37 tff(16132,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s7, s8)) | node7(c_e_h_1, c_u, s7, s8) | node8(c_e_h_1, c_u, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s7, s8)) | node7(c_e_h_1, c_u, s7, s8) | node8(c_e_h_1, c_u, s7, s8))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16133,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s7, s8)) | node7(c_e_h_1, c_u, s7, s8) | node8(c_e_h_1, c_u, s7, s8))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16134,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s7, s8)) | node7(c_e_h_1, c_u, s7, s8) | node8(c_e_h_1, c_u, s7, s8)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 79.10/51.37 tff(16135,plain,
% 79.10/51.37 (node7(c_e_h_1, c_u, s7, s8) | node8(c_e_h_1, c_u, s7, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16134, 7421, 2456])).
% 79.10/51.37 tff(16136,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16135, 16131, 16121])).
% 79.10/51.37 tff(16137,plain,(m_user_v_req(c_e_h_1, c_u, s8) | (~m_user_v_req(c_e_h_1, c_u, s7))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16138,plain,
% 79.10/51.37 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16137, 16102])).
% 79.10/51.37 tff(16139,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)), introduced(assumption)).
% 79.10/51.37 tff(16140,assumption,(m_user_v_req(c_e_h_1, c_u, s8)), introduced(assumption)).
% 79.10/51.37 tff(16141,plain,
% 79.10/51.37 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16142,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16143,plain,
% 79.10/51.37 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 79.10/51.37 tff(16144,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16143, 7318, 16140, 16139])).
% 79.10/51.37 tff(16145,plain,((~m_user_v_req(c_e_h_1, c_u, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16146,plain,
% 79.10/51.37 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16145, 16138])).
% 79.10/51.37 tff(16147,assumption,(node13(c_e_h_1, c_a, s8, s9)), introduced(assumption)).
% 79.10/51.37 tff(16148,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~node13(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~node13(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.37 inference(rewrite,[status(thm)],[])).
% 79.10/51.37 tff(16149,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~node13(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.37 inference(quant_inst,[status(thm)],[])).
% 79.10/51.37 tff(16150,plain,
% 79.10/51.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~node13(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.10/51.37 inference(modus_ponens,[status(thm)],[16149, 16148])).
% 79.10/51.37 tff(16151,plain,
% 79.10/51.37 ($false),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16150, 7277, 16079, 16147, 14989])).
% 79.10/51.37 tff(16152,plain,((~node13(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.37 tff(16153,plain,
% 79.10/51.37 (~node13(c_e_h_1, c_a, s8, s9)),
% 79.10/51.37 inference(unit_resolution,[status(thm)],[16152, 16079, 14989])).
% 79.10/51.37 tff(16154,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)), introduced(assumption)).
% 79.10/51.37 tff(16155,assumption,(node12(c_e_h_1, c_a, s8, s9)), introduced(assumption)).
% 79.10/51.37 tff(16156,plain,
% 79.10/51.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16157,plain,
% 79.10/51.38 (((~node12(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16158,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9))))),
% 79.10/51.38 inference(monotonicity,[status(thm)],[16157])).
% 79.10/51.38 tff(16159,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.10/51.38 inference(transitivity,[status(thm)],[16158, 16156])).
% 79.10/51.38 tff(16160,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16161,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~node12(c_e_h_1, c_a, s8, s9))),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 79.10/51.38 tff(16162,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16161, 7301, 16079, 16155, 16154])).
% 79.10/51.38 tff(16163,plain,((~node12(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16164,plain,
% 79.10/51.38 (~node12(c_e_h_1, c_a, s8, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16163, 16079, 16154])).
% 79.10/51.38 tff(16165,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_1, c_a, s8, s9) | node13(c_e_h_1, c_a, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_1, c_a, s8, s9) | node13(c_e_h_1, c_a, s8, s9))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16166,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_1, c_a, s8, s9) | node13(c_e_h_1, c_a, s8, s9))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16167,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_1, c_a, s8, s9) | node13(c_e_h_1, c_a, s8, s9)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 79.10/51.38 tff(16168,plain,
% 79.10/51.38 (node12(c_e_h_1, c_a, s8, s9) | node13(c_e_h_1, c_a, s8, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16167, 1020, 3713])).
% 79.10/51.38 tff(16169,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16168, 16164, 16153])).
% 79.10/51.38 tff(16170,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16171,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16170, 16146, 16104, 16079])).
% 79.10/51.38 tff(16172,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16173,plain,
% 79.10/51.38 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16172, 15382, 16079])).
% 79.10/51.38 tff(16174,plain,
% 79.10/51.38 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15345, 16173])).
% 79.10/51.38 tff(16175,plain,
% 79.10/51.38 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15278, 16174])).
% 79.10/51.38 tff(16176,plain,
% 79.10/51.38 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15417, 16175])).
% 79.10/51.38 tff(16177,plain,
% 79.10/51.38 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15409, 16176, 15382])).
% 79.10/51.38 tff(16178,plain,
% 79.10/51.38 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16137, 16175])).
% 79.10/51.38 tff(16179,plain,
% 79.10/51.38 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16145, 16178])).
% 79.10/51.38 tff(16180,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16170, 16179, 16177, 16079])).
% 79.10/51.38 tff(16181,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16182,plain,
% 79.10/51.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16181, 16079])).
% 79.10/51.38 tff(16183,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16184,plain,
% 79.10/51.38 (((~node12(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16185,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))))),
% 79.10/51.38 inference(monotonicity,[status(thm)],[16184])).
% 79.10/51.38 tff(16186,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.38 inference(transitivity,[status(thm)],[16185, 16183])).
% 79.10/51.38 tff(16187,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16188,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7) | (~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 79.10/51.38 tff(16189,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16188, 1082, 15394, 14989, 15411])).
% 79.10/51.38 tff(16190,plain,((~node12(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16191,plain,
% 79.10/51.38 (~node12(c_e_h_1, c_a, s7, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16190, 14989, 15411])).
% 79.10/51.38 tff(16192,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | (~node13(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | (~node13(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16193,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | (~node13(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16194,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | (~node13(c_e_h_1, c_a, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 79.10/51.38 tff(16195,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16194, 1004, 15383, 14989, 15347])).
% 79.10/51.38 tff(16196,plain,((~node13(c_e_h_1, c_a, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16197,plain,
% 79.10/51.38 (~node13(c_e_h_1, c_a, s7, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16196, 14989, 15347])).
% 79.10/51.38 tff(16198,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15407, 16197, 16191])).
% 79.10/51.38 tff(16199,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16200,plain,
% 79.10/51.38 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16199, 14989, 15347])).
% 79.10/51.38 tff(16201,plain,
% 79.10/51.38 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16170, 14989, 16079])).
% 79.10/51.38 tff(16202,plain,
% 79.10/51.38 (~m_user_v_req(c_e_h_1, c_u, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16145, 16201])).
% 79.10/51.38 tff(16203,plain,
% 79.10/51.38 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16137, 16202])).
% 79.10/51.38 tff(16204,plain,
% 79.10/51.38 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_user_v_req(c_e_h_1, c_u, s7))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_user_v_req(c_e_h_1, c_u, s7))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16205,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_user_v_req(c_e_h_1, c_u, s7))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16206,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)) | m_user_v_req(c_e_h_1, c_u, s7)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16205, 16204])).
% 79.10/51.38 tff(16207,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16206, 2765, 16203, 16200])).
% 79.10/51.38 tff(16208,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16209,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16208, 16182, 16079, 14989])).
% 79.10/51.38 tff(16210,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16211,plain,
% 79.10/51.38 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16210, 16078])).
% 79.10/51.38 tff(16212,assumption,(~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)), introduced(assumption)).
% 79.10/51.38 tff(16213,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), introduced(assumption)).
% 79.10/51.38 tff(16214,plain,
% 79.10/51.38 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16215,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16216,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 79.10/51.38 tff(16217,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16216, 14999, 16213, 16212])).
% 79.10/51.38 tff(16218,plain,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16219,plain,
% 79.10/51.38 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16218, 16211])).
% 79.10/51.38 tff(16220,assumption,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)), introduced(assumption)).
% 79.10/51.38 tff(16221,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s9)), introduced(assumption)).
% 79.10/51.38 tff(16222,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16223,plain,
% 79.10/51.38 (((~trans(s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9))) <=> ((~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16224,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9))))),
% 79.10/51.38 inference(monotonicity,[status(thm)],[16223])).
% 79.10/51.38 tff(16225,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)))),
% 79.10/51.38 inference(transitivity,[status(thm)],[16224, 16222])).
% 79.10/51.38 tff(16226,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16227,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s8, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9))),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 79.10/51.38 tff(16228,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16227, 14978, 3713, 16221, 16220])).
% 79.10/51.38 tff(16229,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16230,plain,
% 79.10/51.38 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16229, 16219])).
% 79.10/51.38 tff(16231,plain,
% 79.10/51.38 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15004, 16078])).
% 79.10/51.38 tff(16232,plain,
% 79.10/51.38 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[14986, 16231])).
% 79.10/51.38 tff(16233,plain,
% 79.10/51.38 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[14843, 16232])).
% 79.10/51.38 tff(16234,plain,
% 79.10/51.38 (~node18(c_e_h_1, c_f, s10, s11)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15887, 12657, 15878])).
% 79.10/51.38 tff(16235,plain,
% 79.10/51.38 (m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15941, 12657, 15878])).
% 79.10/51.38 tff(16236,plain,
% 79.10/51.38 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | (~node17(c_e_h_1, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | (~node17(c_e_h_1, c_f, s10)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16237,plain,
% 79.10/51.38 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | (~node17(c_e_h_1, c_f, s10)))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16238,plain,
% 79.10/51.38 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | (~node17(c_e_h_1, c_f, s10))),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16237, 16236])).
% 79.10/51.38 tff(16239,plain,
% 79.10/51.38 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s10)) | (~node17(c_e_h_1, c_f, s10))),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16238, 1172, 15904])).
% 79.10/51.38 tff(16240,plain,
% 79.10/51.38 (~node17(c_e_h_1, c_f, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16239, 16235])).
% 79.10/51.38 tff(16241,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[15939, 16240, 16234])).
% 79.10/51.38 tff(16242,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16243,plain,
% 79.10/51.38 ((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16242, 15877])).
% 79.10/51.38 tff(16244,plain,
% 79.10/51.38 (m_c_h_element_v_in1(c_e_h_1, c_f, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16243, 12657])).
% 79.10/51.38 tff(16245,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s10)), introduced(assumption)).
% 79.10/51.38 tff(16246,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s10)), introduced(assumption)).
% 79.10/51.38 tff(16247,plain,
% 79.10/51.38 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16248,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16249,plain,
% 79.10/51.38 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 79.10/51.38 tff(16250,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16249, 1126, 16246, 16245])).
% 79.10/51.38 tff(16251,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16252,plain,
% 79.10/51.38 (m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16251, 16244])).
% 79.10/51.38 tff(16253,plain,
% 79.10/51.38 (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[14359, 16232])).
% 79.10/51.38 tff(16254,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s10)), introduced(assumption)).
% 79.10/51.38 tff(16255,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)), introduced(assumption)).
% 79.10/51.38 tff(16256,plain,
% 79.10/51.38 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16257,plain,
% 79.10/51.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16258,plain,
% 79.10/51.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 79.10/51.38 tff(16259,plain,
% 79.10/51.38 (~node20(c_e_h_1, c_d, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16258, 22, 16255])).
% 79.10/51.38 tff(16260,plain,
% 79.10/51.38 (~node20(c_e_h_1, c_d, s8)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[14849, 22, 14845])).
% 79.10/51.38 tff(16261,plain,
% 79.10/51.38 (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[14877, 16260, 14361])).
% 79.10/51.38 tff(16262,assumption,(~node20(c_e_h_1, c_d, s9)), introduced(assumption)).
% 79.10/51.38 tff(16263,assumption,(node21(c_e_h_1, c_d, s9, s10)), introduced(assumption)).
% 79.10/51.38 tff(16264,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16265,plain,
% 79.10/51.38 ((node20(c_e_h_1, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node21(c_e_h_1, c_d, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10)))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16266,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node21(c_e_h_1, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10))))),
% 79.10/51.38 inference(monotonicity,[status(thm)],[16265])).
% 79.10/51.38 tff(16267,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node21(c_e_h_1, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10)))),
% 79.10/51.38 inference(transitivity,[status(thm)],[16266, 16264])).
% 79.10/51.38 tff(16268,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node21(c_e_h_1, c_d, s9, s10)))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16269,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9) | (~node21(c_e_h_1, c_d, s9, s10))),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 79.10/51.38 tff(16270,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16269, 348, 16263, 16254, 16262])).
% 79.10/51.38 tff(16271,plain,((~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | node20(c_e_h_1, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.38 tff(16272,plain,
% 79.10/51.38 (~node21(c_e_h_1, c_d, s9, s10)),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16271, 16254, 16262])).
% 79.10/51.38 tff(16273,assumption,(node22(c_e_h_1, c_d, s9, s10)), introduced(assumption)).
% 79.10/51.38 tff(16274,plain,
% 79.10/51.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 79.10/51.38 inference(rewrite,[status(thm)],[])).
% 79.10/51.38 tff(16275,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 79.10/51.38 inference(quant_inst,[status(thm)],[])).
% 79.10/51.38 tff(16276,plain,
% 79.10/51.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 79.10/51.38 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 79.10/51.38 tff(16277,plain,
% 79.10/51.38 ($false),
% 79.10/51.38 inference(unit_resolution,[status(thm)],[16276, 437, 16273, 16254, 14879])).
% 79.10/51.39 tff(16278,plain,((~node22(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16279,plain,
% 79.10/51.39 (~node22(c_e_h_1, c_d, s9, s10)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16278, 16254, 14879])).
% 79.10/51.39 tff(16280,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_d, s9, s10) | node22(c_e_h_1, c_d, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_d, s9, s10) | node22(c_e_h_1, c_d, s9, s10))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16281,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_d, s9, s10) | node22(c_e_h_1, c_d, s9, s10))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16282,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_d, s9, s10) | node22(c_e_h_1, c_d, s9, s10)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16281, 16280])).
% 79.10/51.39 tff(16283,plain,
% 79.10/51.39 (node21(c_e_h_1, c_d, s9, s10) | node22(c_e_h_1, c_d, s9, s10)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16282, 383, 6039])).
% 79.10/51.39 tff(16284,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16283, 16279, 16272])).
% 79.10/51.39 tff(16285,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9) | node20(c_e_h_1, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16286,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16285, 16261, 16259, 16254])).
% 79.10/51.39 tff(16287,plain,(m_and_h_gate_v_out(c_e_h_1, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16288,plain,
% 79.10/51.39 (m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16287, 16253, 16252, 16233])).
% 79.10/51.39 tff(16289,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s9)), introduced(assumption)).
% 79.10/51.39 tff(16290,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)), introduced(assumption)).
% 79.10/51.39 tff(16291,plain,
% 79.10/51.39 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16292,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16293,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 79.10/51.39 tff(16294,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16293, 966, 16290, 16289])).
% 79.10/51.39 tff(16295,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16296,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16295, 16288, 16230])).
% 79.10/51.39 tff(16297,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16298,plain,
% 79.10/51.39 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16297, 12656, 6658])).
% 79.10/51.39 tff(16299,plain,
% 79.10/51.39 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[8741, 15615])).
% 79.10/51.39 tff(16300,plain,
% 79.10/51.39 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[9202, 16299])).
% 79.10/51.39 tff(16301,plain,
% 79.10/51.39 (~node20(c_e_h_1, c_r, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[9210, 16300])).
% 79.10/51.39 tff(16302,plain,
% 79.10/51.39 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[9482, 16301])).
% 79.10/51.39 tff(16303,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.39 tff(16304,plain,
% 79.10/51.39 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16305,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16306,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 79.10/51.39 tff(16307,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16306, 3976, 8744, 16303])).
% 79.10/51.39 tff(16308,plain,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16309,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16308, 16299])).
% 79.10/51.39 tff(16310,plain,
% 79.10/51.39 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7500, 15616])).
% 79.10/51.39 tff(16311,plain,
% 79.10/51.39 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7592, 16310])).
% 79.10/51.39 tff(16312,plain,
% 79.10/51.39 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7632, 15619])).
% 79.10/51.39 tff(16313,plain,
% 79.10/51.39 (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7750, 15955])).
% 79.10/51.39 tff(16314,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.10/51.39 tff(16315,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.39 tff(16316,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[8639, 7634])).
% 79.10/51.39 tff(16317,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[8692, 5623])).
% 79.10/51.39 tff(16318,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7))),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[8687, 16317])).
% 79.10/51.39 tff(16319,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16318, 16316, 8659])).
% 79.10/51.39 tff(16320,plain,
% 79.10/51.39 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[5951, 3886, 8659])).
% 79.10/51.39 tff(16321,plain,
% 79.10/51.39 (~node9(c_e_h_1, c_m, s7)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[5955, 238, 16320])).
% 79.10/51.39 tff(16322,plain,
% 79.10/51.39 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[5977, 16321])).
% 79.10/51.39 tff(16323,plain,
% 79.10/51.39 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16324,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16325,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 79.10/51.39 tff(16326,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16325, 3976])).
% 79.10/51.39 tff(16327,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16326, 16322])).
% 79.10/51.39 tff(16328,plain,
% 79.10/51.39 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7707, 7634, 7697])).
% 79.10/51.39 tff(16329,plain,
% 79.10/51.39 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16330,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16331,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 79.10/51.39 tff(16332,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16331, 3964])).
% 79.10/51.39 tff(16333,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16332, 16328])).
% 79.10/51.39 tff(16334,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)), introduced(assumption)).
% 79.10/51.39 tff(16335,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)), introduced(assumption)).
% 79.10/51.39 tff(16336,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.39 tff(16337,assumption,(node10(c_e_h_1, c_n, s8, s9)), introduced(assumption)).
% 79.10/51.39 tff(16338,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16339,plain,
% 79.10/51.39 (((~node10(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16340,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9))))),
% 79.10/51.39 inference(monotonicity,[status(thm)],[16339])).
% 79.10/51.39 tff(16341,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(transitivity,[status(thm)],[16340, 16338])).
% 79.10/51.39 tff(16342,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16343,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | (~node10(c_e_h_1, c_n, s8, s9))),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 79.10/51.39 tff(16344,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16343, 160, 16335, 16334, 16337, 16336])).
% 79.10/51.39 tff(16345,plain,((~node10(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16346,plain,
% 79.10/51.39 (~node10(c_e_h_1, c_n, s8, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16345, 16336, 16335, 16334])).
% 79.10/51.39 tff(16347,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)), introduced(assumption)).
% 79.10/51.39 tff(16348,assumption,(node11(c_e_h_1, c_n, s8, s9)), introduced(assumption)).
% 79.10/51.39 tff(16349,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16350,plain,
% 79.10/51.39 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~node11(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16351,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~node11(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9))))),
% 79.10/51.39 inference(monotonicity,[status(thm)],[16350])).
% 79.10/51.39 tff(16352,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~node11(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9)))),
% 79.10/51.39 inference(transitivity,[status(thm)],[16351, 16349])).
% 79.10/51.39 tff(16353,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~node11(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16354,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~node11(c_e_h_1, c_n, s8, s9))),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 79.10/51.39 tff(16355,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16354, 208, 16347, 16348, 16336])).
% 79.10/51.39 tff(16356,plain,((~node11(c_e_h_1, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16357,plain,
% 79.10/51.39 (~node11(c_e_h_1, c_n, s8, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16356, 16336, 16347])).
% 79.10/51.39 tff(16358,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_1, c_n, s8, s9) | node11(c_e_h_1, c_n, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_1, c_n, s8, s9) | node11(c_e_h_1, c_n, s8, s9))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16359,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_1, c_n, s8, s9) | node11(c_e_h_1, c_n, s8, s9))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16360,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_1, c_n, s8, s9) | node11(c_e_h_1, c_n, s8, s9)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 79.10/51.39 tff(16361,plain,
% 79.10/51.39 (node10(c_e_h_1, c_n, s8, s9) | node11(c_e_h_1, c_n, s8, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16360, 193, 3713])).
% 79.10/51.39 tff(16362,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16361, 16357, 16346])).
% 79.10/51.39 tff(16363,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16364,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16363, 16333, 16327, 16319])).
% 79.10/51.39 tff(16365,plain,
% 79.10/51.39 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[7843, 16328, 7804])).
% 79.10/51.39 tff(16366,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.39 tff(16367,plain,
% 79.10/51.39 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16368,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16369,plain,
% 79.10/51.39 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 79.10/51.39 tff(16370,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16369, 3964, 16366, 7891])).
% 79.10/51.39 tff(16371,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s9) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.39 tff(16372,plain,
% 79.10/51.39 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16371, 16365])).
% 79.10/51.39 tff(16373,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.39 tff(16374,assumption,(node10(c_e_h_1, c_n, s9, s10)), introduced(assumption)).
% 79.10/51.39 tff(16375,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16376,plain,
% 79.10/51.39 (((~node10(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10)))),
% 79.10/51.39 inference(rewrite,[status(thm)],[])).
% 79.10/51.39 tff(16377,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10))))),
% 79.10/51.39 inference(monotonicity,[status(thm)],[16376])).
% 79.10/51.39 tff(16378,plain,
% 79.10/51.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10)))),
% 79.10/51.39 inference(transitivity,[status(thm)],[16377, 16375])).
% 79.10/51.39 tff(16379,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.10/51.39 inference(quant_inst,[status(thm)],[])).
% 79.10/51.39 tff(16380,plain,
% 79.10/51.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s9, s10))),
% 79.10/51.39 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 79.10/51.39 tff(16381,plain,
% 79.10/51.39 ($false),
% 79.10/51.39 inference(unit_resolution,[status(thm)],[16380, 160, 16374, 16314, 16373, 16315])).
% 79.10/51.39 tff(16382,plain,((~node10(c_e_h_1, c_n, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16383,plain,
% 79.10/51.40 (~node10(c_e_h_1, c_n, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16382, 16314, 16373, 16315])).
% 79.10/51.40 tff(16384,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)), introduced(assumption)).
% 79.10/51.40 tff(16385,assumption,(node11(c_e_h_1, c_n, s9, s10)), introduced(assumption)).
% 79.10/51.40 tff(16386,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16387,plain,
% 79.10/51.40 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))) <=> ((~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16388,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))),
% 79.10/51.40 inference(monotonicity,[status(thm)],[16387])).
% 79.10/51.40 tff(16389,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.10/51.40 inference(transitivity,[status(thm)],[16388, 16386])).
% 79.10/51.40 tff(16390,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16391,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 79.10/51.40 tff(16392,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16391, 208, 16385, 16384, 16314])).
% 79.10/51.40 tff(16393,plain,((~node11(c_e_h_1, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16394,plain,
% 79.10/51.40 (~node11(c_e_h_1, c_n, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16393, 16314, 16384])).
% 79.10/51.40 tff(16395,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_1, c_n, s9, s10) | node11(c_e_h_1, c_n, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_1, c_n, s9, s10) | node11(c_e_h_1, c_n, s9, s10))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16396,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_1, c_n, s9, s10) | node11(c_e_h_1, c_n, s9, s10))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16397,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_1, c_n, s9, s10) | node11(c_e_h_1, c_n, s9, s10)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16396, 16395])).
% 79.10/51.40 tff(16398,plain,
% 79.10/51.40 (node10(c_e_h_1, c_n, s9, s10) | node11(c_e_h_1, c_n, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16397, 193, 6039])).
% 79.10/51.40 tff(16399,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16398, 16394, 16383])).
% 79.10/51.40 tff(16400,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16401,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16400, 16372, 16364, 16315, 16314])).
% 79.10/51.40 tff(16402,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | m_c_h_element_v_in2(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16403,plain,
% 79.10/51.40 (m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | m_c_h_element_v_in2(c_e_h_1, c_e, s8) | m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16402, 5948])).
% 79.10/51.40 tff(16404,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16403, 16313, 16312, 16311, 16309])).
% 79.10/51.40 tff(16405,plain,
% 79.10/51.40 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7492, 7478])).
% 79.10/51.40 tff(16406,plain,
% 79.10/51.40 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7500, 16405])).
% 79.10/51.40 tff(16407,plain,
% 79.10/51.40 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7592, 16406])).
% 79.10/51.40 tff(16408,plain,
% 79.10/51.40 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7624, 16405, 7606])).
% 79.10/51.40 tff(16409,plain,
% 79.10/51.40 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7632, 16408])).
% 79.10/51.40 tff(16410,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | node20(c_e_h_1, c_i, s5)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[8703, 5801])).
% 79.10/51.40 tff(16411,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16410, 7478])).
% 79.10/51.40 tff(16412,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16326, 5978])).
% 79.10/51.40 tff(16413,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8))),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16363, 16412])).
% 79.10/51.40 tff(16414,plain,
% 79.10/51.40 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16413, 16411, 16336])).
% 79.10/51.40 tff(16415,plain,
% 79.10/51.40 (m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16332, 16414])).
% 79.10/51.40 tff(16416,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[7707, 16415, 16409, 16407])).
% 79.10/51.40 tff(16417,plain,(node20(c_e_h_1, c_i, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | node20(c_e_h_1, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16418,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16417, 15618, 15615])).
% 79.10/51.40 tff(16419,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.10/51.40 tff(16420,plain,
% 79.10/51.40 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16421,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16422,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 79.10/51.40 tff(16423,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16422, 3886, 16384, 16419])).
% 79.10/51.40 tff(16424,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16425,plain,
% 79.10/51.40 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16424, 16418])).
% 79.10/51.40 tff(16426,assumption,(node9(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.10/51.40 tff(16427,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.10/51.40 tff(16428,plain,
% 79.10/51.40 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16429,plain,
% 79.10/51.40 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16430,plain,
% 79.10/51.40 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 79.10/51.40 tff(16431,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16430, 238, 16427, 16426])).
% 79.10/51.40 tff(16432,plain,((~node9(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16433,plain,
% 79.10/51.40 (~node9(c_e_h_1, c_m, s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16432, 16425])).
% 79.10/51.40 tff(16434,assumption,(~node9(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.10/51.40 tff(16435,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.10/51.40 tff(16436,assumption,(node11(c_e_h_1, c_m, s9, s10)), introduced(assumption)).
% 79.10/51.40 tff(16437,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node11(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node11(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16438,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node11(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16439,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node11(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 79.10/51.40 tff(16440,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16439, 282, 16436, 8744, 16435])).
% 79.10/51.40 tff(16441,plain,((~node11(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16442,plain,
% 79.10/51.40 (~node11(c_e_h_1, c_m, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16441, 16435, 8744])).
% 79.10/51.40 tff(16443,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_1, c_m, s9, s10) | node11(c_e_h_1, c_m, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_1, c_m, s9, s10) | node11(c_e_h_1, c_m, s9, s10))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16444,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_1, c_m, s9, s10) | node11(c_e_h_1, c_m, s9, s10))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16445,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_1, c_m, s9, s10) | node11(c_e_h_1, c_m, s9, s10)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 79.10/51.40 tff(16446,plain,
% 79.10/51.40 (node10(c_e_h_1, c_m, s9, s10) | node11(c_e_h_1, c_m, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16445, 193, 6039])).
% 79.10/51.40 tff(16447,plain,
% 79.10/51.40 (node10(c_e_h_1, c_m, s9, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16446, 16442])).
% 79.10/51.40 tff(16448,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16449,plain,
% 79.10/51.40 ((node9(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node10(c_e_h_1, c_m, s9, s10))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16450,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node10(c_e_h_1, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10))))),
% 79.10/51.40 inference(monotonicity,[status(thm)],[16449])).
% 79.10/51.40 tff(16451,plain,
% 79.10/51.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node10(c_e_h_1, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.10/51.40 inference(transitivity,[status(thm)],[16450, 16448])).
% 79.10/51.40 tff(16452,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16453,plain,
% 79.10/51.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | (~node10(c_e_h_1, c_m, s9, s10))),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 79.10/51.40 tff(16454,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16453, 252, 16447, 16435, 16434])).
% 79.10/51.40 tff(16455,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | node9(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16456,plain,
% 79.10/51.40 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16455, 16433, 16299])).
% 79.10/51.40 tff(16457,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.10/51.40 tff(16458,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.10/51.40 tff(16459,plain,
% 79.10/51.40 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16460,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16461,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 79.10/51.40 tff(16462,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16461, 3976, 16458, 16457])).
% 79.10/51.40 tff(16463,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16464,plain,
% 79.10/51.40 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16463, 16456])).
% 79.10/51.40 tff(16465,plain,
% 79.10/51.40 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[12000, 3886, 11762])).
% 79.10/51.40 tff(16466,plain,
% 79.10/51.40 (~node9(c_e_h_2, c_m, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[12004, 238, 16465])).
% 79.10/51.40 tff(16467,plain,
% 79.10/51.40 ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)) | node9(c_e_h_2, c_m, s7)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[11996, 11904])).
% 79.10/51.40 tff(16468,plain,
% 79.10/51.40 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16467, 16466])).
% 79.10/51.40 tff(16469,plain,
% 79.10/51.40 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[12321, 7347, 16468])).
% 79.10/51.40 tff(16470,plain,
% 79.10/51.40 (~node20(c_e_h_2, c_r, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[12317, 334, 16469])).
% 79.10/51.40 tff(16471,plain,
% 79.10/51.40 ((~m_and_h_gate_v_out(c_e_h_2, c_r, s9)) | node20(c_e_h_2, c_r, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[12313, 12256])).
% 79.10/51.40 tff(16472,plain,
% 79.10/51.40 (~m_and_h_gate_v_out(c_e_h_2, c_r, s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16471, 16470])).
% 79.10/51.40 tff(16473,assumption,(m_user_v_ack(c_e_h_2, c_u, s9)), introduced(assumption)).
% 79.10/51.40 tff(16474,plain,
% 79.10/51.40 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16475,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16476,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 79.10/51.40 tff(16477,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16476, 7367, 12272, 16473])).
% 79.10/51.40 tff(16478,plain,((~m_user_v_ack(c_e_h_2, c_u, s9)) | m_and_h_gate_v_out(c_e_h_2, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16479,plain,
% 79.10/51.40 (~m_user_v_ack(c_e_h_2, c_u, s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16478, 16472])).
% 79.10/51.40 tff(16480,assumption,(node25(s9)), introduced(assumption)).
% 79.10/51.40 tff(16481,assumption,(~m_user_v_ack(c_e_h_2, c_u, s9)), introduced(assumption)).
% 79.10/51.40 tff(16482,plain,
% 79.10/51.40 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16483,plain,
% 79.10/51.40 ((m_user_v_ack(c_e_h_2, c_u, s9) | (~node25(s9))) <=> ((~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16484,plain,
% 79.10/51.40 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s9) | (~node25(s9)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9)))),
% 79.10/51.40 inference(monotonicity,[status(thm)],[16483])).
% 79.10/51.40 tff(16485,plain,
% 79.10/51.40 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s9) | (~node25(s9)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9))),
% 79.10/51.40 inference(transitivity,[status(thm)],[16484, 16482])).
% 79.10/51.40 tff(16486,plain,
% 79.10/51.40 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s9) | (~node25(s9)))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16487,plain,
% 79.10/51.40 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 79.10/51.40 tff(16488,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16487, 12613, 16481, 16480])).
% 79.10/51.40 tff(16489,plain,((~node25(s9)) | m_user_v_ack(c_e_h_2, c_u, s9)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16490,plain,
% 79.10/51.40 (~node25(s9)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16489, 16479])).
% 79.10/51.40 tff(16491,assumption,(m_user_v_ack(c_e_h_2, c_u, s8)), introduced(assumption)).
% 79.10/51.40 tff(16492,plain,
% 79.10/51.40 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))),
% 79.10/51.40 inference(rewrite,[status(thm)],[])).
% 79.10/51.40 tff(16493,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8))),
% 79.10/51.40 inference(quant_inst,[status(thm)],[])).
% 79.10/51.40 tff(16494,plain,
% 79.10/51.40 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8)),
% 79.10/51.40 inference(modus_ponens,[status(thm)],[16493, 16492])).
% 79.10/51.40 tff(16495,plain,
% 79.10/51.40 ($false),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16494, 7367, 16491, 12257])).
% 79.10/51.40 tff(16496,plain,((~m_user_v_ack(c_e_h_2, c_u, s8)) | m_and_h_gate_v_out(c_e_h_2, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.40 tff(16497,plain,
% 79.10/51.40 (~m_user_v_ack(c_e_h_2, c_u, s8)),
% 79.10/51.40 inference(unit_resolution,[status(thm)],[16496, 12256])).
% 79.10/51.40 tff(16498,plain,
% 79.10/51.40 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s8) | (~node25(s8)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s8) | (~node25(s8)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16499,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s8) | (~node25(s8)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16500,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s8) | (~node25(s8))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 79.10/51.41 tff(16501,plain,
% 79.10/51.41 (~node25(s8)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16500, 12613, 16497])).
% 79.10/51.41 tff(16502,assumption,(m_user_v_ack(c_e_h_1, c_u, s8)), introduced(assumption)).
% 79.10/51.41 tff(16503,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16504,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16505,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 79.10/51.41 tff(16506,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16505, 7367, 16502, 9431])).
% 79.10/51.41 tff(16507,plain,((~m_user_v_ack(c_e_h_1, c_u, s8)) | m_and_h_gate_v_out(c_e_h_1, c_r, s8)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16508,plain,
% 79.10/51.41 (~m_user_v_ack(c_e_h_1, c_u, s8)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16507, 9430])).
% 79.10/51.41 tff(16509,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s8) | (~node24(s8)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s8) | (~node24(s8)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16510,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s8) | (~node24(s8)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16511,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s8) | (~node24(s8))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16510, 16509])).
% 79.10/51.41 tff(16512,plain,
% 79.10/51.41 (~node24(s8)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16511, 9500, 16508])).
% 79.10/51.41 tff(16513,plain,
% 79.10/51.41 (^[X: $i] : refl((m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X))) <=> (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X))))),
% 79.10/51.41 inference(bind,[status(th)],[])).
% 79.10/51.41 tff(16514,plain,
% 79.10/51.41 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))),
% 79.10/51.41 inference(quant_intro,[status(thm)],[16513])).
% 79.10/51.41 tff(16515,plain,
% 79.10/51.41 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16516,axiom,(![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 79.10/51.41 tff(16517,plain,
% 79.10/51.41 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 79.10/51.41 tff(16518,plain,(
% 79.10/51.41 ![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))),
% 79.10/51.41 inference(skolemize,[status(sab)],[16517])).
% 79.10/51.41 tff(16519,plain,
% 79.10/51.41 (![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16518, 16514])).
% 79.10/51.41 tff(16520,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s8) | (~node23(s8)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s8) | (~node23(s8)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16521,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s8) | (~node23(s8)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16522,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s8) | (~node23(s8))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 79.10/51.41 tff(16523,plain,
% 79.10/51.41 (~node23(s8)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16522, 16519, 16508])).
% 79.10/51.41 tff(16524,plain,
% 79.10/51.41 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s8) | node24(s8) | node25(s8) | (~node26(s8)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s8) | node24(s8) | node25(s8) | (~node26(s8)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16525,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s8) | node24(s8) | node25(s8) | (~node26(s8)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16526,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s8) | node24(s8) | node25(s8) | (~node26(s8))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 79.10/51.41 tff(16527,plain,
% 79.10/51.41 (node25(s8) | (~node26(s8))),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16526, 12641, 16523, 16512])).
% 79.10/51.41 tff(16528,plain,
% 79.10/51.41 (~node26(s8)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16527, 16501])).
% 79.10/51.41 tff(16529,assumption,(m_user_v_ack(c_e_h_2, c_u, s7)), introduced(assumption)).
% 79.10/51.41 tff(16530,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16531,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16532,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 79.10/51.41 tff(16533,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16532, 7367, 16529, 12250])).
% 79.10/51.41 tff(16534,plain,((~m_user_v_ack(c_e_h_2, c_u, s7)) | m_and_h_gate_v_out(c_e_h_2, c_r, s7)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16535,plain,
% 79.10/51.41 (~m_user_v_ack(c_e_h_2, c_u, s7)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16534, 12235])).
% 79.10/51.41 tff(16536,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s7) | (~node25(s7)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s7) | (~node25(s7)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16537,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s7) | (~node25(s7)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16538,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s7) | (~node25(s7))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16537, 16536])).
% 79.10/51.41 tff(16539,plain,
% 79.10/51.41 (~node25(s7)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16538, 12613, 16535])).
% 79.10/51.41 tff(16540,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s7) | (~node23(s7)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s7) | (~node23(s7)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16541,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s7) | (~node23(s7)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16542,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s7) | (~node23(s7))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 79.10/51.41 tff(16543,plain,
% 79.10/51.41 (~node23(s7)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16542, 16519, 16112])).
% 79.10/51.41 tff(16544,plain,
% 79.10/51.41 (~m_c_h_element_v_out(c_e_h_1, c_e, s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[5579, 5190, 5518])).
% 79.10/51.41 tff(16545,plain,
% 79.10/51.41 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[9237, 9234, 16544])).
% 79.10/51.41 tff(16546,plain,
% 79.10/51.41 (~node20(c_e_h_1, c_r, s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[9241, 22, 16545])).
% 79.10/51.41 tff(16547,plain,
% 79.10/51.41 (~m_and_h_gate_v_out(c_e_h_1, c_r, s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[9376, 16546])).
% 79.10/51.41 tff(16548,plain,
% 79.10/51.41 (~m_user_v_ack(c_e_h_1, c_u, s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[15256, 16547])).
% 79.10/51.41 tff(16549,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s6) | (~node24(s6)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s6) | (~node24(s6)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16550,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s6) | (~node24(s6)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16551,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s6) | (~node24(s6))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 79.10/51.41 tff(16552,plain,
% 79.10/51.41 (~node24(s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16551, 9500, 16548])).
% 79.10/51.41 tff(16553,assumption,(m_user_v_ack(c_e_h_2, c_u, s6)), introduced(assumption)).
% 79.10/51.41 tff(16554,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16555,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16556,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16555, 16554])).
% 79.10/51.41 tff(16557,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16556, 7367, 16553, 12220])).
% 79.10/51.41 tff(16558,plain,((~m_user_v_ack(c_e_h_2, c_u, s6)) | m_and_h_gate_v_out(c_e_h_2, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16559,plain,
% 79.10/51.41 (~m_user_v_ack(c_e_h_2, c_u, s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16558, 12210])).
% 79.10/51.41 tff(16560,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s6) | (~node25(s6)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s6) | (~node25(s6)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16561,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s6) | (~node25(s6)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16562,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s6) | (~node25(s6))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 79.10/51.41 tff(16563,plain,
% 79.10/51.41 (~node25(s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16562, 12613, 16559])).
% 79.10/51.41 tff(16564,plain,
% 79.10/51.41 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s6)) | m_user_v_ack(c_e_h_2, c_u, s6))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s6)) | m_user_v_ack(c_e_h_2, c_u, s6))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16565,plain,
% 79.10/51.41 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s6)) | m_user_v_ack(c_e_h_2, c_u, s6))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16566,plain,
% 79.10/51.41 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s6)) | m_user_v_ack(c_e_h_2, c_u, s6)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16565, 16564])).
% 79.10/51.41 tff(16567,plain,
% 79.10/51.41 (~node23(s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16566, 12627, 16559])).
% 79.10/51.41 tff(16568,plain,
% 79.10/51.41 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s6) | node24(s6) | node25(s6) | (~node26(s6)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s6) | node24(s6) | node25(s6) | (~node26(s6)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16569,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s6) | node24(s6) | node25(s6) | (~node26(s6)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16570,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s6) | node24(s6) | node25(s6) | (~node26(s6))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 79.10/51.41 tff(16571,plain,
% 79.10/51.41 (node24(s6) | (~node26(s6))),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16570, 12641, 16567, 16563])).
% 79.10/51.41 tff(16572,plain,
% 79.10/51.41 (~node26(s6)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16571, 16552])).
% 79.10/51.41 tff(16573,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s5) | (~node24(s5)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s5) | (~node24(s5)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16574,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s5) | (~node24(s5)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16575,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s5) | (~node24(s5))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 79.10/51.41 tff(16576,plain,
% 79.10/51.41 (~node24(s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16575, 9500, 15338])).
% 79.10/51.41 tff(16577,assumption,(m_user_v_ack(c_e_h_2, c_u, s5)), introduced(assumption)).
% 79.10/51.41 tff(16578,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16579,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16580,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 79.10/51.41 tff(16581,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16580, 7367, 16577, 12190])).
% 79.10/51.41 tff(16582,plain,((~m_user_v_ack(c_e_h_2, c_u, s5)) | m_and_h_gate_v_out(c_e_h_2, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16583,plain,
% 79.10/51.41 (~m_user_v_ack(c_e_h_2, c_u, s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16582, 12188])).
% 79.10/51.41 tff(16584,plain,
% 79.10/51.41 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s5) | (~node25(s5)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s5) | (~node25(s5)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16585,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s5) | (~node25(s5)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16586,plain,
% 79.10/51.41 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s5) | (~node25(s5))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 79.10/51.41 tff(16587,plain,
% 79.10/51.41 (~node25(s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16586, 12613, 16583])).
% 79.10/51.41 tff(16588,plain,
% 79.10/51.41 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s5)) | m_user_v_ack(c_e_h_2, c_u, s5))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s5)) | m_user_v_ack(c_e_h_2, c_u, s5))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16589,plain,
% 79.10/51.41 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s5)) | m_user_v_ack(c_e_h_2, c_u, s5))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16590,plain,
% 79.10/51.41 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s5)) | m_user_v_ack(c_e_h_2, c_u, s5)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16589, 16588])).
% 79.10/51.41 tff(16591,plain,
% 79.10/51.41 (~node23(s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16590, 12627, 16583])).
% 79.10/51.41 tff(16592,plain,
% 79.10/51.41 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s5) | node24(s5) | node25(s5) | (~node26(s5)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s5) | node24(s5) | node25(s5) | (~node26(s5)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16593,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s5) | node24(s5) | node25(s5) | (~node26(s5)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16594,plain,
% 79.10/51.41 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s5) | node24(s5) | node25(s5) | (~node26(s5))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 79.10/51.41 tff(16595,plain,
% 79.10/51.41 (node24(s5) | (~node26(s5))),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16594, 12641, 16591, 16587])).
% 79.10/51.41 tff(16596,plain,
% 79.10/51.41 (~node26(s5)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16595, 16576])).
% 79.10/51.41 tff(16597,assumption,(m_and_h_gate_v_out(c_e_h_3, c_c, s2)), introduced(assumption)).
% 79.10/51.41 tff(16598,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s0)), introduced(assumption)).
% 79.10/51.41 tff(16599,plain,
% 79.10/51.41 ((~![I0: $i, I1: $i] : (~m_mutex_h_half_v_out(I0, I1, s0))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s0))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16600,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16599, 956, 16598])).
% 79.10/51.41 tff(16601,plain,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s0)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16602,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s1)), introduced(assumption)).
% 79.10/51.41 tff(16603,assumption,(m_user_v_req(c_e_h_3, c_u, s0)), introduced(assumption)).
% 79.10/51.41 tff(16604,plain,
% 79.10/51.41 ((~![I0: $i, I1: $i] : (~m_user_v_req(I0, I1, s0))) | (~m_user_v_req(c_e_h_3, c_u, s0))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16605,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16604, 2755, 16603])).
% 79.10/51.41 tff(16606,plain,(~m_user_v_req(c_e_h_3, c_u, s0)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16607,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s0)) | m_user_v_req(c_e_h_3, c_u, s0))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s0)) | m_user_v_req(c_e_h_3, c_u, s0))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16608,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s0)) | m_user_v_req(c_e_h_3, c_u, s0))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16609,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s0)) | m_user_v_req(c_e_h_3, c_u, s0)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16608, 16607])).
% 79.10/51.41 tff(16610,plain,
% 79.10/51.41 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s0)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16609, 2765, 16606])).
% 79.10/51.41 tff(16611,assumption,(node12(c_e_h_3, c_a, s0, s1)), introduced(assumption)).
% 79.10/51.41 tff(16612,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~node12(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16613,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16614,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~node12(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s0) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1))),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16613, 16612])).
% 79.10/51.41 tff(16615,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16614, 1082, 16611, 16610, 16602])).
% 79.10/51.41 tff(16616,plain,((~node12(c_e_h_3, c_a, s0, s1)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16617,plain,
% 79.10/51.41 (~node12(c_e_h_3, c_a, s0, s1)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16616, 16602])).
% 79.10/51.41 tff(16618,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_3, c_a, s0, s1) | node13(c_e_h_3, c_a, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_3, c_a, s0, s1) | node13(c_e_h_3, c_a, s0, s1))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16619,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s0, s1)) | node12(c_e_h_3, c_a, s0, s1) | node13(c_e_h_3, c_a, s0, s1))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16620,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s0, s1)) | node12(c_e_h_3, c_a, s0, s1) | node13(c_e_h_3, c_a, s0, s1)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 79.10/51.41 tff(16621,plain,
% 79.10/51.41 (node12(c_e_h_3, c_a, s0, s1) | node13(c_e_h_3, c_a, s0, s1)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16620, 1020, 183])).
% 79.10/51.41 tff(16622,plain,
% 79.10/51.41 (node13(c_e_h_3, c_a, s0, s1)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16621, 16617])).
% 79.10/51.41 tff(16623,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)) | (~node13(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)) | (~node13(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16624,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)) | (~node13(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16625,plain,
% 79.10/51.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)) | (~node13(c_e_h_3, c_a, s0, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 79.10/51.41 tff(16626,plain,
% 79.10/51.41 ($false),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16625, 1004, 16622, 16602, 16601])).
% 79.10/51.41 tff(16627,plain,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.41 tff(16628,plain,
% 79.10/51.41 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16629,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16630,plain,
% 79.10/51.41 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s1)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 79.10/51.41 tff(16631,plain,
% 79.10/51.41 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s1)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16630, 2644, 16627])).
% 79.10/51.41 tff(16632,plain,
% 79.10/51.41 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s1))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16633,plain,
% 79.10/51.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s1))),
% 79.10/51.41 inference(quant_inst,[status(thm)],[])).
% 79.10/51.41 tff(16634,plain,
% 79.10/51.41 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s1)),
% 79.10/51.41 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 79.10/51.41 tff(16635,plain,
% 79.10/51.41 (~node20(c_e_h_3, c_c, s1)),
% 79.10/51.41 inference(unit_resolution,[status(thm)],[16634, 22, 16631])).
% 79.10/51.41 tff(16636,assumption,(~node20(c_e_h_3, c_c, s1)), introduced(assumption)).
% 79.10/51.41 tff(16637,assumption,(node21(c_e_h_3, c_c, s1, s2)), introduced(assumption)).
% 79.10/51.41 tff(16638,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16639,plain,
% 79.10/51.41 ((node20(c_e_h_3, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node21(c_e_h_3, c_c, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2)))),
% 79.10/51.41 inference(rewrite,[status(thm)],[])).
% 79.10/51.41 tff(16640,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node21(c_e_h_3, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2))))),
% 79.10/51.41 inference(monotonicity,[status(thm)],[16639])).
% 79.10/51.41 tff(16641,plain,
% 79.10/51.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node21(c_e_h_3, c_c, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2)))),
% 79.10/51.41 inference(transitivity,[status(thm)],[16640, 16638])).
% 79.10/51.42 tff(16642,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node21(c_e_h_3, c_c, s1, s2)))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16643,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | node20(c_e_h_3, c_c, s1) | (~node21(c_e_h_3, c_c, s1, s2))),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 79.10/51.42 tff(16644,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16643, 348, 16637, 16636, 16597])).
% 79.10/51.42 tff(16645,plain,((~node21(c_e_h_3, c_c, s1, s2)) | node20(c_e_h_3, c_c, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16646,plain,
% 79.10/51.42 ((~node21(c_e_h_3, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16645, 16635])).
% 79.10/51.42 tff(16647,plain,
% 79.10/51.42 (~node21(c_e_h_3, c_c, s1, s2)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16646, 16597])).
% 79.10/51.42 tff(16648,assumption,(m_and_h_gate_v_out(c_e_h_3, c_c, s1)), introduced(assumption)).
% 79.10/51.42 tff(16649,plain,
% 79.10/51.42 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16650,plain,
% 79.10/51.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16651,plain,
% 79.10/51.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s0)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s0)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16650, 16649])).
% 79.10/51.42 tff(16652,plain,
% 79.10/51.42 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s0)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16651, 2644, 16601])).
% 79.10/51.42 tff(16653,plain,
% 79.10/51.42 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16654,plain,
% 79.10/51.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s0))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16655,plain,
% 79.10/51.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s0)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 79.10/51.42 tff(16656,plain,
% 79.10/51.42 (~node20(c_e_h_3, c_c, s0)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16655, 22, 16652])).
% 79.10/51.42 tff(16657,assumption,(node21(c_e_h_3, c_c, s0, s1)), introduced(assumption)).
% 79.10/51.42 tff(16658,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node21(c_e_h_3, c_c, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node21(c_e_h_3, c_c, s0, s1)))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16659,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node21(c_e_h_3, c_c, s0, s1)))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16660,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_c, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node21(c_e_h_3, c_c, s0, s1))),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 79.10/51.42 tff(16661,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16660, 348, 16657, 16656, 16648])).
% 79.10/51.42 tff(16662,plain,((~node21(c_e_h_3, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16663,plain,
% 79.10/51.42 (~node21(c_e_h_3, c_c, s0, s1)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16662, 16648])).
% 79.10/51.42 tff(16664,assumption,(m_and_h_gate_v_out(c_e_h_3, c_c, s0)), introduced(assumption)).
% 79.10/51.42 tff(16665,plain,
% 79.10/51.42 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s0))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16666,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16665, 424, 16664])).
% 79.10/51.42 tff(16667,plain,(~m_and_h_gate_v_out(c_e_h_3, c_c, s0)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16668,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_c, s0)), introduced(assumption)).
% 79.10/51.42 tff(16669,assumption,(node22(c_e_h_3, c_c, s0, s1)), introduced(assumption)).
% 79.10/51.42 tff(16670,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node22(c_e_h_3, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_c, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node22(c_e_h_3, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_c, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16671,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node22(c_e_h_3, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_c, s0))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16672,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | (~node22(c_e_h_3, c_c, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_c, s0)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16671, 16670])).
% 79.10/51.42 tff(16673,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16672, 437, 16669, 16648, 16668])).
% 79.10/51.42 tff(16674,plain,((~node22(c_e_h_3, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1)) | m_and_h_gate_v_out(c_e_h_3, c_c, s0)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16675,plain,
% 79.10/51.42 ((~node22(c_e_h_3, c_c, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s1))),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16674, 16667])).
% 79.10/51.42 tff(16676,plain,
% 79.10/51.42 (~node22(c_e_h_3, c_c, s0, s1)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16675, 16648])).
% 79.10/51.42 tff(16677,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_c, s0, s1) | node22(c_e_h_3, c_c, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_c, s0, s1) | node22(c_e_h_3, c_c, s0, s1))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16678,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_c, s0, s1) | node22(c_e_h_3, c_c, s0, s1))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16679,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_c, s0, s1) | node22(c_e_h_3, c_c, s0, s1)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 79.10/51.42 tff(16680,plain,
% 79.10/51.42 (node21(c_e_h_3, c_c, s0, s1) | node22(c_e_h_3, c_c, s0, s1)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16679, 383, 183])).
% 79.10/51.42 tff(16681,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16680, 16676, 16663])).
% 79.10/51.42 tff(16682,plain,(~m_and_h_gate_v_out(c_e_h_3, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16683,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_c, s1)), introduced(assumption)).
% 79.10/51.42 tff(16684,assumption,(node22(c_e_h_3, c_c, s1, s2)), introduced(assumption)).
% 79.10/51.42 tff(16685,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node22(c_e_h_3, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node22(c_e_h_3, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s1))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16686,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node22(c_e_h_3, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s1))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16687,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | (~node22(c_e_h_3, c_c, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s1)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 79.10/51.42 tff(16688,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16687, 437, 16684, 16597, 16683])).
% 79.10/51.42 tff(16689,plain,((~node22(c_e_h_3, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16690,plain,
% 79.10/51.42 ((~node22(c_e_h_3, c_c, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16689, 16682])).
% 79.10/51.42 tff(16691,plain,
% 79.10/51.42 (~node22(c_e_h_3, c_c, s1, s2)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16690, 16597])).
% 79.10/51.42 tff(16692,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_c, s1, s2) | node22(c_e_h_3, c_c, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_c, s1, s2) | node22(c_e_h_3, c_c, s1, s2))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16693,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_c, s1, s2) | node22(c_e_h_3, c_c, s1, s2))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16694,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_c, s1, s2) | node22(c_e_h_3, c_c, s1, s2)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16693, 16692])).
% 79.10/51.42 tff(16695,plain,
% 79.10/51.42 (node21(c_e_h_3, c_c, s1, s2) | node22(c_e_h_3, c_c, s1, s2)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16694, 383, 265])).
% 79.10/51.42 tff(16696,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16695, 16691, 16647])).
% 79.10/51.42 tff(16697,plain,(~m_and_h_gate_v_out(c_e_h_3, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16698,plain,
% 79.10/51.42 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16699,plain,
% 79.10/51.42 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16700,plain,
% 79.10/51.42 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 79.10/51.42 tff(16701,plain,
% 79.10/51.42 (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16700, 4240, 16697])).
% 79.10/51.42 tff(16702,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s3)), introduced(assumption)).
% 79.10/51.42 tff(16703,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s2)), introduced(assumption)).
% 79.10/51.42 tff(16704,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s1)), introduced(assumption)).
% 79.10/51.42 tff(16705,assumption,(node18(c_e_h_3, c_e, s0, s1)), introduced(assumption)).
% 79.10/51.42 tff(16706,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s0)), introduced(assumption)).
% 79.10/51.42 tff(16707,plain,
% 79.10/51.42 ((~![I0: $i, I1: $i] : (~m_c_h_element_v_out(I0, I1, s0))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s0))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16708,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16707, 135, 16706])).
% 79.10/51.42 tff(16709,plain,(~m_c_h_element_v_out(c_e_h_3, c_e, s0)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16710,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16711,plain,
% 79.10/51.42 (((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~node18(c_e_h_3, c_e, s0, s1))) <=> (m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16712,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~node18(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1))))),
% 79.10/51.42 inference(monotonicity,[status(thm)],[16711])).
% 79.10/51.42 tff(16713,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~node18(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.42 inference(transitivity,[status(thm)],[16712, 16710])).
% 79.10/51.42 tff(16714,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~node18(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16715,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node18(c_e_h_3, c_e, s0, s1))),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 79.10/51.42 tff(16716,plain,
% 79.10/51.42 ($false),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16715, 481, 16704, 16709, 16705])).
% 79.10/51.42 tff(16717,plain,((~node18(c_e_h_3, c_e, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.42 tff(16718,plain,
% 79.10/51.42 (~node18(c_e_h_3, c_e, s0, s1)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16717, 16704])).
% 79.10/51.42 tff(16719,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_e, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_e, s0, s1))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16720,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s0, s1)) | node19(c_e_h_3, c_e, s0, s1))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16721,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s0, s1)) | node19(c_e_h_3, c_e, s0, s1)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 79.10/51.42 tff(16722,plain,
% 79.10/51.42 (node19(c_e_h_3, c_e, s0, s1)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16721, 494, 183])).
% 79.10/51.42 tff(16723,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16724,plain,
% 79.10/51.42 ((node17(c_e_h_3, c_e, s0) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1))) <=> (node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16725,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s0) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0)))),
% 79.10/51.42 inference(monotonicity,[status(thm)],[16724])).
% 79.10/51.42 tff(16726,plain,
% 79.10/51.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s0) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0))),
% 79.10/51.42 inference(transitivity,[status(thm)],[16725, 16723])).
% 79.10/51.42 tff(16727,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s0) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.42 inference(quant_inst,[status(thm)],[])).
% 79.10/51.42 tff(16728,plain,
% 79.10/51.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node17(c_e_h_3, c_e, s0)),
% 79.10/51.42 inference(modus_ponens,[status(thm)],[16727, 16726])).
% 79.10/51.42 tff(16729,plain,
% 79.10/51.42 (node18(c_e_h_3, c_e, s0, s1) | node17(c_e_h_3, c_e, s0)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16728, 508, 16722])).
% 79.10/51.42 tff(16730,plain,
% 79.10/51.42 (node17(c_e_h_3, c_e, s0)),
% 79.10/51.42 inference(unit_resolution,[status(thm)],[16729, 16718])).
% 79.10/51.42 tff(16731,plain,
% 79.10/51.42 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 79.10/51.42 inference(rewrite,[status(thm)],[])).
% 79.10/51.42 tff(16732,plain,
% 79.10/51.42 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16733,plain,
% 79.10/51.43 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s0)) | m_and_h_gate_v_out(c_e_h_3, c_i, s0)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 79.10/51.43 tff(16734,plain,
% 79.10/51.43 (~m_c_h_element_v_in2(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16733, 4785, 520])).
% 79.10/51.43 tff(16735,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16736,plain,
% 79.10/51.43 (((~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~node17(c_e_h_3, c_e, s0))) <=> (m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16737,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~node17(c_e_h_3, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0))))),
% 79.10/51.43 inference(monotonicity,[status(thm)],[16736])).
% 79.10/51.43 tff(16738,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~node17(c_e_h_3, c_e, s0)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0)))),
% 79.10/51.43 inference(transitivity,[status(thm)],[16737, 16735])).
% 79.10/51.43 tff(16739,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~node17(c_e_h_3, c_e, s0)))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16740,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s0) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 79.10/51.43 tff(16741,plain,
% 79.10/51.43 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s0)) | (~node17(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16740, 541, 16734])).
% 79.10/51.43 tff(16742,plain,
% 79.10/51.43 (~m_c_h_element_v_in1(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16741, 16730])).
% 79.10/51.43 tff(16743,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s0)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | m_c_h_element_v_in2(c_e_h_3, c_e, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s0)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | m_c_h_element_v_in2(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16744,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s0)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | m_c_h_element_v_in2(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16745,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s0)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | m_c_h_element_v_in2(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16744, 16743])).
% 79.10/51.43 tff(16746,plain,
% 79.10/51.43 ((~node16(c_e_h_3, c_e, s0)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16745, 559, 16734])).
% 79.10/51.43 tff(16747,plain,
% 79.10/51.43 (~node16(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16746, 16742])).
% 79.10/51.43 tff(16748,assumption,(node14(c_e_h_3, c_e, s0, s1)), introduced(assumption)).
% 79.10/51.43 tff(16749,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16750,plain,
% 79.10/51.43 (((~node14(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16751,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1))))),
% 79.10/51.43 inference(monotonicity,[status(thm)],[16750])).
% 79.10/51.43 tff(16752,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.43 inference(transitivity,[status(thm)],[16751, 16749])).
% 79.10/51.43 tff(16753,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16754,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s0) | (~node14(c_e_h_3, c_e, s0, s1))),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16753, 16752])).
% 79.10/51.43 tff(16755,plain,
% 79.10/51.43 ($false),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16754, 575, 16704, 16748, 16742])).
% 79.10/51.43 tff(16756,plain,((~node14(c_e_h_3, c_e, s0, s1)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.43 tff(16757,plain,
% 79.10/51.43 (~node14(c_e_h_3, c_e, s0, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16756, 16704])).
% 79.10/51.43 tff(16758,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16759,plain,
% 79.10/51.43 ((node16(c_e_h_3, c_e, s0) | node14(c_e_h_3, c_e, s0, s1) | node15(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1))) <=> (node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16760,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s0) | node14(c_e_h_3, c_e, s0, s1) | node15(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0)))),
% 79.10/51.43 inference(monotonicity,[status(thm)],[16759])).
% 79.10/51.43 tff(16761,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s0) | node14(c_e_h_3, c_e, s0, s1) | node15(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(transitivity,[status(thm)],[16760, 16758])).
% 79.10/51.43 tff(16762,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s0) | node14(c_e_h_3, c_e, s0, s1) | node15(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16763,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | (~node19(c_e_h_3, c_e, s0, s1)) | node16(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 79.10/51.43 tff(16764,plain,
% 79.10/51.43 (node15(c_e_h_3, c_e, s0, s1) | node14(c_e_h_3, c_e, s0, s1) | node16(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16763, 594, 16722])).
% 79.10/51.43 tff(16765,plain,
% 79.10/51.43 (node15(c_e_h_3, c_e, s0, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16764, 16757, 16747])).
% 79.10/51.43 tff(16766,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node15(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node15(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16767,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node15(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16768,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s1)) | (~node15(c_e_h_3, c_e, s0, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s0)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 79.10/51.43 tff(16769,plain,
% 79.10/51.43 ($false),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16768, 612, 16704, 16709, 16765])).
% 79.10/51.43 tff(16770,plain,(~m_c_h_element_v_out(c_e_h_3, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.43 tff(16771,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_e, s1)), introduced(assumption)).
% 79.10/51.43 tff(16772,assumption,(node14(c_e_h_3, c_e, s1, s2)), introduced(assumption)).
% 79.10/51.43 tff(16773,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16774,plain,
% 79.10/51.43 (((~node14(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16775,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2))))),
% 79.10/51.43 inference(monotonicity,[status(thm)],[16774])).
% 79.10/51.43 tff(16776,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(transitivity,[status(thm)],[16775, 16773])).
% 79.10/51.43 tff(16777,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16778,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~node14(c_e_h_3, c_e, s1, s2))),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 79.10/51.43 tff(16779,plain,
% 79.10/51.43 ($false),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16778, 575, 16703, 16772, 16771])).
% 79.10/51.43 tff(16780,plain,((~node14(c_e_h_3, c_e, s1, s2)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.43 tff(16781,plain,
% 79.10/51.43 (~node14(c_e_h_3, c_e, s1, s2)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16780, 16771, 16703])).
% 79.10/51.43 tff(16782,assumption,(~m_c_h_element_v_out(c_e_h_3, c_e, s1)), introduced(assumption)).
% 79.10/51.43 tff(16783,assumption,(node15(c_e_h_3, c_e, s1, s2)), introduced(assumption)).
% 79.10/51.43 tff(16784,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node15(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node15(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16785,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node15(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16786,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node15(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16785, 16784])).
% 79.10/51.43 tff(16787,plain,
% 79.10/51.43 ($false),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16786, 612, 16782, 16703, 16783])).
% 79.10/51.43 tff(16788,plain,((~node15(c_e_h_3, c_e, s1, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 79.10/51.43 tff(16789,plain,
% 79.10/51.43 (~node15(c_e_h_3, c_e, s1, s2)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16788, 16782, 16703])).
% 79.10/51.43 tff(16790,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_e, s1, s2))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16791,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s1, s2)) | node19(c_e_h_3, c_e, s1, s2))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16792,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s1, s2)) | node19(c_e_h_3, c_e, s1, s2)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16791, 16790])).
% 79.10/51.43 tff(16793,plain,
% 79.10/51.43 (node19(c_e_h_3, c_e, s1, s2)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16792, 494, 265])).
% 79.10/51.43 tff(16794,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16795,plain,
% 79.10/51.43 ((node16(c_e_h_3, c_e, s1) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2))) <=> (node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16796,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s1) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2))))),
% 79.10/51.43 inference(monotonicity,[status(thm)],[16795])).
% 79.10/51.43 tff(16797,plain,
% 79.10/51.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s1) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(transitivity,[status(thm)],[16796, 16794])).
% 79.10/51.43 tff(16798,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s1) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16799,plain,
% 79.10/51.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2))),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 79.10/51.43 tff(16800,plain,
% 79.10/51.43 (node14(c_e_h_3, c_e, s1, s2) | node15(c_e_h_3, c_e, s1, s2) | node16(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16799, 594, 16793])).
% 79.10/51.43 tff(16801,plain,
% 79.10/51.43 (node16(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16800, 16789, 16781])).
% 79.10/51.43 tff(16802,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16803,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))),
% 79.10/51.43 inference(quant_inst,[status(thm)],[])).
% 79.10/51.43 tff(16804,plain,
% 79.10/51.43 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1) | m_c_h_element_v_in2(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 79.10/51.43 tff(16805,plain,
% 79.10/51.43 ((~node16(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16804, 559, 16771])).
% 79.10/51.43 tff(16806,plain,
% 79.10/51.43 (m_c_h_element_v_in2(c_e_h_3, c_e, s1)),
% 79.10/51.43 inference(unit_resolution,[status(thm)],[16805, 16801])).
% 79.10/51.43 tff(16807,plain,
% 79.10/51.43 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1))),
% 79.10/51.43 inference(rewrite,[status(thm)],[])).
% 79.10/51.43 tff(16808,plain,
% 79.10/51.43 ((m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16809,plain,
% 79.10/51.44 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1)))),
% 79.10/51.44 inference(monotonicity,[status(thm)],[16808])).
% 79.10/51.44 tff(16810,plain,
% 79.10/51.44 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(transitivity,[status(thm)],[16809, 16807])).
% 79.10/51.44 tff(16811,plain,
% 79.10/51.44 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s1) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16812,plain,
% 79.10/51.44 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16811, 16810])).
% 79.10/51.44 tff(16813,plain,
% 79.10/51.44 ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16812, 1172, 16771])).
% 79.10/51.44 tff(16814,plain,
% 79.10/51.44 (~node17(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16813, 16806])).
% 79.10/51.44 tff(16815,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16816,plain,
% 79.10/51.44 ((node17(c_e_h_3, c_e, s1) | node18(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2))) <=> (node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16817,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s1) | node18(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(monotonicity,[status(thm)],[16816])).
% 79.10/51.44 tff(16818,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s1) | node18(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2))),
% 79.10/51.44 inference(transitivity,[status(thm)],[16817, 16815])).
% 79.10/51.44 tff(16819,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s1) | node18(c_e_h_3, c_e, s1, s2) | (~node19(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16820,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_e, s1) | (~node19(c_e_h_3, c_e, s1, s2)) | node18(c_e_h_3, c_e, s1, s2)),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 79.10/51.44 tff(16821,plain,
% 79.10/51.44 (node17(c_e_h_3, c_e, s1) | node18(c_e_h_3, c_e, s1, s2)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16820, 508, 16793])).
% 79.10/51.44 tff(16822,plain,
% 79.10/51.44 (node18(c_e_h_3, c_e, s1, s2)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16821, 16814])).
% 79.10/51.44 tff(16823,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16824,plain,
% 79.10/51.44 (((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~node18(c_e_h_3, c_e, s1, s2))) <=> (m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16825,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~node18(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2))))),
% 79.10/51.44 inference(monotonicity,[status(thm)],[16824])).
% 79.10/51.44 tff(16826,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~node18(c_e_h_3, c_e, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(transitivity,[status(thm)],[16825, 16823])).
% 79.10/51.44 tff(16827,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~node18(c_e_h_3, c_e, s1, s2)))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16828,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | (~node18(c_e_h_3, c_e, s1, s2))),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 79.10/51.44 tff(16829,plain,
% 79.10/51.44 ($false),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16828, 481, 16782, 16703, 16822])).
% 79.10/51.44 tff(16830,plain,(m_c_h_element_v_out(c_e_h_3, c_e, s1) | (~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.44 tff(16831,plain,
% 79.10/51.44 ((~m_c_h_element_v_out(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16830, 16770])).
% 79.10/51.44 tff(16832,plain,
% 79.10/51.44 (m_c_h_element_v_in1(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16831, 16703])).
% 79.10/51.44 tff(16833,plain,
% 79.10/51.44 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16834,plain,
% 79.10/51.44 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16835,plain,
% 79.10/51.44 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)) | m_and_h_gate_v_out(c_e_h_3, c_i, s1)),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 79.10/51.44 tff(16836,plain,
% 79.10/51.44 (~m_c_h_element_v_in2(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16835, 4785, 759])).
% 79.10/51.44 tff(16837,plain,
% 79.10/51.44 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16838,plain,
% 79.10/51.44 (((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1) | (~node17(c_e_h_3, c_e, s1))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16839,plain,
% 79.10/51.44 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1) | (~node17(c_e_h_3, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1)))),
% 79.10/51.44 inference(monotonicity,[status(thm)],[16838])).
% 79.10/51.44 tff(16840,plain,
% 79.10/51.44 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1) | (~node17(c_e_h_3, c_e, s1)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(transitivity,[status(thm)],[16839, 16837])).
% 79.10/51.44 tff(16841,plain,
% 79.10/51.44 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1) | (~node17(c_e_h_3, c_e, s1)))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16842,plain,
% 79.10/51.44 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1)) | m_c_h_element_v_in2(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 79.10/51.44 tff(16843,plain,
% 79.10/51.44 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s1)) | (~node17(c_e_h_3, c_e, s1))),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16842, 541, 16836])).
% 79.10/51.44 tff(16844,plain,
% 79.10/51.44 (~node17(c_e_h_3, c_e, s1)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16843, 16832])).
% 79.10/51.44 tff(16845,plain,
% 79.10/51.44 (node18(c_e_h_3, c_e, s1, s2)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16821, 16844])).
% 79.10/51.44 tff(16846,plain,
% 79.10/51.44 ($false),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16828, 481, 16770, 16703, 16845])).
% 79.10/51.44 tff(16847,plain,(~m_c_h_element_v_out(c_e_h_3, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.44 tff(16848,assumption,(node18(c_e_h_3, c_e, s2, s3)), introduced(assumption)).
% 79.10/51.44 tff(16849,assumption,(~m_c_h_element_v_out(c_e_h_3, c_e, s2)), introduced(assumption)).
% 79.10/51.44 tff(16850,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3)))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16851,plain,
% 79.10/51.44 (((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~node18(c_e_h_3, c_e, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3)))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16852,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~node18(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3))))),
% 79.10/51.44 inference(monotonicity,[status(thm)],[16851])).
% 79.10/51.44 tff(16853,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~node18(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3)))),
% 79.10/51.44 inference(transitivity,[status(thm)],[16852, 16850])).
% 79.10/51.44 tff(16854,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~node18(c_e_h_3, c_e, s2, s3)))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16855,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node18(c_e_h_3, c_e, s2, s3))),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16854, 16853])).
% 79.10/51.44 tff(16856,plain,
% 79.10/51.44 ($false),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16855, 481, 16702, 16849, 16848])).
% 79.10/51.44 tff(16857,plain,((~node18(c_e_h_3, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 79.10/51.44 tff(16858,plain,
% 79.10/51.44 ((~node18(c_e_h_3, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16857, 16847])).
% 79.10/51.44 tff(16859,plain,
% 79.10/51.44 (~node18(c_e_h_3, c_e, s2, s3)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16858, 16702])).
% 79.10/51.44 tff(16860,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_e, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_e, s2, s3))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16861,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_3, c_e, s2, s3))),
% 79.10/51.44 inference(quant_inst,[status(thm)],[])).
% 79.10/51.44 tff(16862,plain,
% 79.10/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_3, c_e, s2, s3)),
% 79.10/51.44 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 79.10/51.44 tff(16863,plain,
% 79.10/51.44 (node19(c_e_h_3, c_e, s2, s3)),
% 79.10/51.44 inference(unit_resolution,[status(thm)],[16862, 494, 463])).
% 79.10/51.44 tff(16864,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16865,plain,
% 79.10/51.44 ((node17(c_e_h_3, c_e, s2) | node18(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3))) <=> ((~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2))),
% 79.10/51.44 inference(rewrite,[status(thm)],[])).
% 79.10/51.44 tff(16866,plain,
% 79.10/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s2) | node18(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2)))),
% 79.18/51.44 inference(monotonicity,[status(thm)],[16865])).
% 79.18/51.44 tff(16867,plain,
% 79.18/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s2) | node18(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2))),
% 79.18/51.44 inference(transitivity,[status(thm)],[16866, 16864])).
% 79.18/51.44 tff(16868,plain,
% 79.18/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s2) | node18(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))),
% 79.18/51.44 inference(quant_inst,[status(thm)],[])).
% 79.18/51.44 tff(16869,plain,
% 79.18/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2)),
% 79.18/51.44 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 79.18/51.44 tff(16870,plain,
% 79.18/51.44 (node18(c_e_h_3, c_e, s2, s3) | node17(c_e_h_3, c_e, s2)),
% 79.18/51.44 inference(unit_resolution,[status(thm)],[16869, 508, 16863])).
% 79.18/51.44 tff(16871,plain,
% 79.18/51.44 (node17(c_e_h_3, c_e, s2)),
% 79.18/51.44 inference(unit_resolution,[status(thm)],[16870, 16859])).
% 79.18/51.44 tff(16872,assumption,(node15(c_e_h_3, c_e, s2, s3)), introduced(assumption)).
% 79.18/51.44 tff(16873,plain,
% 79.18/51.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node15(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node15(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))),
% 79.18/51.44 inference(rewrite,[status(thm)],[])).
% 79.18/51.44 tff(16874,plain,
% 79.18/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node15(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))),
% 79.18/51.44 inference(quant_inst,[status(thm)],[])).
% 79.18/51.44 tff(16875,plain,
% 79.18/51.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | (~node15(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2)),
% 79.18/51.44 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 79.18/51.44 tff(16876,plain,
% 79.18/51.44 ($false),
% 79.18/51.44 inference(unit_resolution,[status(thm)],[16875, 612, 16702, 16849, 16872])).
% 79.18/51.44 tff(16877,plain,((~node15(c_e_h_3, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.44 tff(16878,plain,
% 79.18/51.44 ((~node15(c_e_h_3, c_e, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 79.18/51.44 inference(unit_resolution,[status(thm)],[16877, 16847])).
% 79.18/51.44 tff(16879,plain,
% 79.18/51.44 (~node15(c_e_h_3, c_e, s2, s3)),
% 79.18/51.44 inference(unit_resolution,[status(thm)],[16878, 16702])).
% 79.18/51.44 tff(16880,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_e, s2)), introduced(assumption)).
% 79.18/51.44 tff(16881,assumption,(node17(c_e_h_3, c_e, s2)), introduced(assumption)).
% 79.18/51.44 tff(16882,plain,
% 79.18/51.44 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16883,plain,
% 79.18/51.45 (((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2) | (~node17(c_e_h_3, c_e, s2))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16884,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2) | (~node17(c_e_h_3, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2)))),
% 79.18/51.45 inference(monotonicity,[status(thm)],[16883])).
% 79.18/51.45 tff(16885,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2) | (~node17(c_e_h_3, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(transitivity,[status(thm)],[16884, 16882])).
% 79.18/51.45 tff(16886,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2) | (~node17(c_e_h_3, c_e, s2)))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16887,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 79.18/51.45 tff(16888,plain,
% 79.18/51.45 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s2)) | m_c_h_element_v_in2(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16887, 541, 16881])).
% 79.18/51.45 tff(16889,plain,
% 79.18/51.45 (~m_c_h_element_v_in1(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16888, 16880])).
% 79.18/51.45 tff(16890,assumption,(~node15(c_e_h_3, c_e, s2, s3)), introduced(assumption)).
% 79.18/51.45 tff(16891,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16892,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | m_c_h_element_v_in2(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16893,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | m_c_h_element_v_in2(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16892, 16891])).
% 79.18/51.45 tff(16894,plain,
% 79.18/51.45 (~node16(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16893, 559, 16880, 16889])).
% 79.18/51.45 tff(16895,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16896,plain,
% 79.18/51.45 ((node16(c_e_h_3, c_e, s2) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3))) <=> ((~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16897,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s2) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2)))),
% 79.18/51.45 inference(monotonicity,[status(thm)],[16896])).
% 79.18/51.45 tff(16898,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s2) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(transitivity,[status(thm)],[16897, 16895])).
% 79.18/51.45 tff(16899,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s2) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | (~node19(c_e_h_3, c_e, s2, s3)))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16900,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s2, s3)) | node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 79.18/51.45 tff(16901,plain,
% 79.18/51.45 (node14(c_e_h_3, c_e, s2, s3) | node15(c_e_h_3, c_e, s2, s3) | node16(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16900, 594, 16863])).
% 79.18/51.45 tff(16902,plain,
% 79.18/51.45 (node14(c_e_h_3, c_e, s2, s3)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16901, 16894, 16890])).
% 79.18/51.45 tff(16903,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3)))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16904,plain,
% 79.18/51.45 (((~node14(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3)))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16905,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3))))),
% 79.18/51.45 inference(monotonicity,[status(thm)],[16904])).
% 79.18/51.45 tff(16906,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3)))),
% 79.18/51.45 inference(transitivity,[status(thm)],[16905, 16903])).
% 79.18/51.45 tff(16907,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s2, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16908,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~node14(c_e_h_3, c_e, s2, s3))),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 79.18/51.45 tff(16909,plain,
% 79.18/51.45 ($false),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16908, 575, 16702, 16902, 16889])).
% 79.18/51.45 tff(16910,plain,(m_c_h_element_v_in2(c_e_h_3, c_e, s2) | (~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | node15(c_e_h_3, c_e, s2, s3) | (~node17(c_e_h_3, c_e, s2))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.45 tff(16911,plain,
% 79.18/51.45 (m_c_h_element_v_in2(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16910, 16871, 16702, 16879])).
% 79.18/51.45 tff(16912,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_e, s2)), introduced(assumption)).
% 79.18/51.45 tff(16913,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16914,plain,
% 79.18/51.45 ((m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16915,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2)))),
% 79.18/51.45 inference(monotonicity,[status(thm)],[16914])).
% 79.18/51.45 tff(16916,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(transitivity,[status(thm)],[16915, 16913])).
% 79.18/51.45 tff(16917,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s2) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16918,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 79.18/51.45 tff(16919,plain,
% 79.18/51.45 ((~m_c_h_element_v_in2(c_e_h_3, c_e, s2)) | (~node17(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16918, 1172, 16912])).
% 79.18/51.45 tff(16920,plain,
% 79.18/51.45 ($false),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16919, 16911, 16871])).
% 79.18/51.45 tff(16921,plain,((~m_c_h_element_v_out(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s2)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.45 tff(16922,plain,
% 79.18/51.45 (~m_c_h_element_v_out(c_e_h_3, c_e, s3)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16921, 16701])).
% 79.18/51.45 tff(16923,plain,
% 79.18/51.45 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16924,plain,
% 79.18/51.45 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16925,plain,
% 79.18/51.45 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s3)) | m_c_h_element_v_out(c_e_h_3, c_e, s3)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 79.18/51.45 tff(16926,plain,
% 79.18/51.45 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s3)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16925, 9234, 16922])).
% 79.18/51.45 tff(16927,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s3))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16928,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s3))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16929,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s3)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16928, 16927])).
% 79.18/51.45 tff(16930,plain,
% 79.18/51.45 (~node20(c_e_h_3, c_r, s3)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16929, 22, 16926])).
% 79.18/51.45 tff(16931,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s3)), introduced(assumption)).
% 79.18/51.45 tff(16932,plain,
% 79.18/51.45 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16933,plain,
% 79.18/51.45 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s2))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16934,plain,
% 79.18/51.45 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s2)) | m_c_h_element_v_out(c_e_h_3, c_e, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16933, 16932])).
% 79.18/51.45 tff(16935,plain,
% 79.18/51.45 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16934, 9234, 16847])).
% 79.18/51.45 tff(16936,plain,
% 79.18/51.45 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s2))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16937,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s2))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16938,plain,
% 79.18/51.45 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s2)),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16937, 16936])).
% 79.18/51.45 tff(16939,plain,
% 79.18/51.45 (~node20(c_e_h_3, c_r, s2)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16938, 22, 16935])).
% 79.18/51.45 tff(16940,assumption,(node21(c_e_h_3, c_r, s2, s3)), introduced(assumption)).
% 79.18/51.45 tff(16941,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3)))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16942,plain,
% 79.18/51.45 ((node20(c_e_h_3, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node21(c_e_h_3, c_r, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3)))),
% 79.18/51.45 inference(rewrite,[status(thm)],[])).
% 79.18/51.45 tff(16943,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node21(c_e_h_3, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3))))),
% 79.18/51.45 inference(monotonicity,[status(thm)],[16942])).
% 79.18/51.45 tff(16944,plain,
% 79.18/51.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node21(c_e_h_3, c_r, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3)))),
% 79.18/51.45 inference(transitivity,[status(thm)],[16943, 16941])).
% 79.18/51.45 tff(16945,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node21(c_e_h_3, c_r, s2, s3)))),
% 79.18/51.45 inference(quant_inst,[status(thm)],[])).
% 79.18/51.45 tff(16946,plain,
% 79.18/51.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | node20(c_e_h_3, c_r, s2) | (~node21(c_e_h_3, c_r, s2, s3))),
% 79.18/51.45 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 79.18/51.45 tff(16947,plain,
% 79.18/51.45 ($false),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16946, 348, 16931, 16940, 16939])).
% 79.18/51.45 tff(16948,plain,((~node21(c_e_h_3, c_r, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.45 tff(16949,plain,
% 79.18/51.45 (~node21(c_e_h_3, c_r, s2, s3)),
% 79.18/51.45 inference(unit_resolution,[status(thm)],[16948, 16931])).
% 79.18/51.45 tff(16950,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s2)), introduced(assumption)).
% 79.18/51.45 tff(16951,assumption,(node22(c_e_h_3, c_r, s1, s2)), introduced(assumption)).
% 79.18/51.45 tff(16952,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s1)), introduced(assumption)).
% 79.18/51.46 tff(16953,assumption,(node22(c_e_h_3, c_r, s0, s1)), introduced(assumption)).
% 79.18/51.46 tff(16954,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s0)), introduced(assumption)).
% 79.18/51.46 tff(16955,plain,
% 79.18/51.46 ((~![I0: $i, I1: $i] : (~m_and_h_gate_v_out(I0, I1, s0))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s0))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16956,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16955, 424, 16954])).
% 79.18/51.46 tff(16957,plain,(~m_and_h_gate_v_out(c_e_h_3, c_r, s0)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(16958,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node22(c_e_h_3, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node22(c_e_h_3, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s0))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16959,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node22(c_e_h_3, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s0))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16960,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node22(c_e_h_3, c_r, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s0)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16959, 16958])).
% 79.18/51.46 tff(16961,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16960, 437, 16957, 16953, 16952])).
% 79.18/51.46 tff(16962,plain,((~node22(c_e_h_3, c_r, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(16963,plain,
% 79.18/51.46 (~node22(c_e_h_3, c_r, s0, s1)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16962, 16952])).
% 79.18/51.46 tff(16964,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_r, s0, s1) | node22(c_e_h_3, c_r, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_r, s0, s1) | node22(c_e_h_3, c_r, s0, s1))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16965,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_r, s0, s1) | node22(c_e_h_3, c_r, s0, s1))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16966,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_r, s0, s1) | node22(c_e_h_3, c_r, s0, s1)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 79.18/51.46 tff(16967,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s0, s1) | node22(c_e_h_3, c_r, s0, s1)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16966, 383, 183])).
% 79.18/51.46 tff(16968,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s0, s1)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16967, 16963])).
% 79.18/51.46 tff(16969,plain,
% 79.18/51.46 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s0)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s0)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16970,plain,
% 79.18/51.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s0)) | m_c_h_element_v_out(c_e_h_3, c_e, s0))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16971,plain,
% 79.18/51.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s0)) | m_c_h_element_v_out(c_e_h_3, c_e, s0)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 79.18/51.46 tff(16972,plain,
% 79.18/51.46 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s0)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16971, 9234, 16709])).
% 79.18/51.46 tff(16973,plain,
% 79.18/51.46 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s0))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16974,plain,
% 79.18/51.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s0))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16975,plain,
% 79.18/51.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s0)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 79.18/51.46 tff(16976,plain,
% 79.18/51.46 (~node20(c_e_h_3, c_r, s0)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16975, 22, 16972])).
% 79.18/51.46 tff(16977,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16978,plain,
% 79.18/51.46 ((node20(c_e_h_3, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node21(c_e_h_3, c_r, s0, s1))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16979,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node21(c_e_h_3, c_r, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1))))),
% 79.18/51.46 inference(monotonicity,[status(thm)],[16978])).
% 79.18/51.46 tff(16980,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node21(c_e_h_3, c_r, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1)))),
% 79.18/51.46 inference(transitivity,[status(thm)],[16979, 16977])).
% 79.18/51.46 tff(16981,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | (~node21(c_e_h_3, c_r, s0, s1)))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16982,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s1)) | node20(c_e_h_3, c_r, s0) | (~node21(c_e_h_3, c_r, s0, s1))),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16981, 16980])).
% 79.18/51.46 tff(16983,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16982, 348, 16976, 16968, 16952])).
% 79.18/51.46 tff(16984,plain,(~m_and_h_gate_v_out(c_e_h_3, c_r, s1)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(16985,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node22(c_e_h_3, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node22(c_e_h_3, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16986,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node22(c_e_h_3, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16987,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node22(c_e_h_3, c_r, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 79.18/51.46 tff(16988,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16987, 437, 16984, 16950, 16951])).
% 79.18/51.46 tff(16989,plain,((~node22(c_e_h_3, c_r, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(16990,plain,
% 79.18/51.46 (~node22(c_e_h_3, c_r, s1, s2)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16989, 16950])).
% 79.18/51.46 tff(16991,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_r, s1, s2) | node22(c_e_h_3, c_r, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_r, s1, s2) | node22(c_e_h_3, c_r, s1, s2))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16992,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_r, s1, s2) | node22(c_e_h_3, c_r, s1, s2))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16993,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_r, s1, s2) | node22(c_e_h_3, c_r, s1, s2)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 79.18/51.46 tff(16994,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s1, s2) | node22(c_e_h_3, c_r, s1, s2)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16993, 383, 265])).
% 79.18/51.46 tff(16995,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s1, s2)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16994, 16990])).
% 79.18/51.46 tff(16996,plain,
% 79.18/51.46 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(16997,plain,
% 79.18/51.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s1))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(16998,plain,
% 79.18/51.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s1)) | m_c_h_element_v_out(c_e_h_3, c_e, s1)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 79.18/51.46 tff(16999,plain,
% 79.18/51.46 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s1)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[16998, 9234, 16770])).
% 79.18/51.46 tff(17000,plain,
% 79.18/51.46 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s1))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17001,plain,
% 79.18/51.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s1))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17002,plain,
% 79.18/51.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s1)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17001, 17000])).
% 79.18/51.46 tff(17003,plain,
% 79.18/51.46 (~node20(c_e_h_3, c_r, s1)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17002, 22, 16999])).
% 79.18/51.46 tff(17004,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17005,plain,
% 79.18/51.46 ((node20(c_e_h_3, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node21(c_e_h_3, c_r, s1, s2))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17006,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node21(c_e_h_3, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2))))),
% 79.18/51.46 inference(monotonicity,[status(thm)],[17005])).
% 79.18/51.46 tff(17007,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node21(c_e_h_3, c_r, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2)))),
% 79.18/51.46 inference(transitivity,[status(thm)],[17006, 17004])).
% 79.18/51.46 tff(17008,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | (~node21(c_e_h_3, c_r, s1, s2)))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17009,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s2)) | node20(c_e_h_3, c_r, s1) | (~node21(c_e_h_3, c_r, s1, s2))),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17008, 17007])).
% 79.18/51.46 tff(17010,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17009, 348, 17003, 16950, 16995])).
% 79.18/51.46 tff(17011,plain,(~m_and_h_gate_v_out(c_e_h_3, c_r, s2)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(17012,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_r, s2)), introduced(assumption)).
% 79.18/51.46 tff(17013,assumption,(node22(c_e_h_3, c_r, s2, s3)), introduced(assumption)).
% 79.18/51.46 tff(17014,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node22(c_e_h_3, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node22(c_e_h_3, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17015,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node22(c_e_h_3, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17016,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | (~node22(c_e_h_3, c_r, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 79.18/51.46 tff(17017,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17016, 437, 16931, 17013, 17012])).
% 79.18/51.46 tff(17018,plain,((~node22(c_e_h_3, c_r, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(17019,plain,
% 79.18/51.46 ((~node22(c_e_h_3, c_r, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s3))),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17018, 17011])).
% 79.18/51.46 tff(17020,plain,
% 79.18/51.46 (~node22(c_e_h_3, c_r, s2, s3)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17019, 16931])).
% 79.18/51.46 tff(17021,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_r, s2, s3) | node22(c_e_h_3, c_r, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_r, s2, s3) | node22(c_e_h_3, c_r, s2, s3))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17022,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_r, s2, s3) | node22(c_e_h_3, c_r, s2, s3))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17023,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_r, s2, s3) | node22(c_e_h_3, c_r, s2, s3)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 79.18/51.46 tff(17024,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s2, s3) | node22(c_e_h_3, c_r, s2, s3)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17023, 383, 463])).
% 79.18/51.46 tff(17025,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17024, 17020, 16949])).
% 79.18/51.46 tff(17026,plain,(~m_and_h_gate_v_out(c_e_h_3, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(17027,assumption,(~node20(c_e_h_3, c_r, s3)), introduced(assumption)).
% 79.18/51.46 tff(17028,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s4)), introduced(assumption)).
% 79.18/51.46 tff(17029,assumption,(node21(c_e_h_3, c_r, s3, s4)), introduced(assumption)).
% 79.18/51.46 tff(17030,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17031,plain,
% 79.18/51.46 ((node20(c_e_h_3, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node21(c_e_h_3, c_r, s3, s4))) <=> (node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17032,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node21(c_e_h_3, c_r, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4))))),
% 79.18/51.46 inference(monotonicity,[status(thm)],[17031])).
% 79.18/51.46 tff(17033,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node21(c_e_h_3, c_r, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)))),
% 79.18/51.46 inference(transitivity,[status(thm)],[17032, 17030])).
% 79.18/51.46 tff(17034,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node21(c_e_h_3, c_r, s3, s4)))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17035,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s3) | (~node21(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4))),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17034, 17033])).
% 79.18/51.46 tff(17036,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17035, 348, 17029, 17027, 17028])).
% 79.18/51.46 tff(17037,plain,((~node21(c_e_h_3, c_r, s3, s4)) | node20(c_e_h_3, c_r, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(17038,plain,
% 79.18/51.46 (~node21(c_e_h_3, c_r, s3, s4)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17037, 17028, 17027])).
% 79.18/51.46 tff(17039,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_r, s3)), introduced(assumption)).
% 79.18/51.46 tff(17040,assumption,(node22(c_e_h_3, c_r, s3, s4)), introduced(assumption)).
% 79.18/51.46 tff(17041,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node22(c_e_h_3, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node22(c_e_h_3, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17042,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node22(c_e_h_3, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17043,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | (~node22(c_e_h_3, c_r, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 79.18/51.46 tff(17044,plain,
% 79.18/51.46 ($false),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17043, 437, 17040, 17028, 17039])).
% 79.18/51.46 tff(17045,plain,((~node22(c_e_h_3, c_r, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.46 tff(17046,plain,
% 79.18/51.46 (~node22(c_e_h_3, c_r, s3, s4)),
% 79.18/51.46 inference(unit_resolution,[status(thm)],[17045, 17028, 17039])).
% 79.18/51.46 tff(17047,plain,
% 79.18/51.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_r, s3, s4) | node22(c_e_h_3, c_r, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_r, s3, s4) | node22(c_e_h_3, c_r, s3, s4))),
% 79.18/51.46 inference(rewrite,[status(thm)],[])).
% 79.18/51.46 tff(17048,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_r, s3, s4) | node22(c_e_h_3, c_r, s3, s4))),
% 79.18/51.46 inference(quant_inst,[status(thm)],[])).
% 79.18/51.46 tff(17049,plain,
% 79.18/51.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_r, s3, s4) | node22(c_e_h_3, c_r, s3, s4)),
% 79.18/51.46 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 79.18/51.46 tff(17050,plain,
% 79.18/51.46 (node21(c_e_h_3, c_r, s3, s4) | node22(c_e_h_3, c_r, s3, s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17049, 383, 711])).
% 79.18/51.47 tff(17051,plain,
% 79.18/51.47 ($false),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17050, 17046, 17038])).
% 79.18/51.47 tff(17052,plain,((~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3) | node20(c_e_h_3, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.47 tff(17053,plain,
% 79.18/51.47 ((~m_and_h_gate_v_out(c_e_h_3, c_r, s4)) | node20(c_e_h_3, c_r, s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17052, 17026])).
% 79.18/51.47 tff(17054,plain,
% 79.18/51.47 (~m_and_h_gate_v_out(c_e_h_3, c_r, s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17053, 16930])).
% 79.18/51.47 tff(17055,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_r, s4)), introduced(assumption)).
% 79.18/51.47 tff(17056,assumption,(m_user_v_ack(c_e_h_3, c_u, s4)), introduced(assumption)).
% 79.18/51.47 tff(17057,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17058,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17059,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 79.18/51.47 tff(17060,plain,
% 79.18/51.47 ($false),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17059, 7367, 17056, 17055])).
% 79.18/51.47 tff(17061,plain,((~m_user_v_ack(c_e_h_3, c_u, s4)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.47 tff(17062,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_3, c_u, s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17061, 17054])).
% 79.18/51.47 tff(17063,plain,
% 79.18/51.47 (^[X: $i] : refl(((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X)) <=> ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X)))),
% 79.18/51.47 inference(bind,[status(th)],[])).
% 79.18/51.47 tff(17064,plain,
% 79.18/51.47 (![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X)) <=> ![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(quant_intro,[status(thm)],[17063])).
% 79.18/51.47 tff(17065,plain,
% 79.18/51.47 (![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X)) <=> ![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17066,plain,
% 79.18/51.47 (^[X: $i] : rewrite((m_user_v_ack(c_e_h_3, c_u, X) | (~node24(X))) <=> ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X)))),
% 79.18/51.47 inference(bind,[status(th)],[])).
% 79.18/51.47 tff(17067,plain,
% 79.18/51.47 (![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node24(X))) <=> ![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(quant_intro,[status(thm)],[17066])).
% 79.18/51.47 tff(17068,axiom,(![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node24(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 79.18/51.47 tff(17069,plain,
% 79.18/51.47 (![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 79.18/51.47 tff(17070,plain,
% 79.18/51.47 (![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17069, 17065])).
% 79.18/51.47 tff(17071,plain,(
% 79.18/51.47 ![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(skolemize,[status(sab)],[17070])).
% 79.18/51.47 tff(17072,plain,
% 79.18/51.47 (![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17071, 17064])).
% 79.18/51.47 tff(17073,plain,
% 79.18/51.47 (((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s4)) | m_user_v_ack(c_e_h_3, c_u, s4))) <=> ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s4)) | m_user_v_ack(c_e_h_3, c_u, s4))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17074,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s4)) | m_user_v_ack(c_e_h_3, c_u, s4))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17075,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s4)) | m_user_v_ack(c_e_h_3, c_u, s4)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 79.18/51.47 tff(17076,plain,
% 79.18/51.47 (~node24(s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17075, 17072, 17062])).
% 79.18/51.47 tff(17077,assumption,(m_user_v_ack(c_e_h_2, c_u, s4)), introduced(assumption)).
% 79.18/51.47 tff(17078,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17079,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17080,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 79.18/51.47 tff(17081,plain,
% 79.18/51.47 ($false),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17080, 7367, 17077, 12168])).
% 79.18/51.47 tff(17082,plain,((~m_user_v_ack(c_e_h_2, c_u, s4)) | m_and_h_gate_v_out(c_e_h_2, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.47 tff(17083,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_2, c_u, s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17082, 12154])).
% 79.18/51.47 tff(17084,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s4) | (~node25(s4)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s4) | (~node25(s4)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17085,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s4) | (~node25(s4)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17086,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s4) | (~node25(s4))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 79.18/51.47 tff(17087,plain,
% 79.18/51.47 (~node25(s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17086, 12613, 17083])).
% 79.18/51.47 tff(17088,plain,
% 79.18/51.47 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s4)) | m_user_v_ack(c_e_h_2, c_u, s4))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s4)) | m_user_v_ack(c_e_h_2, c_u, s4))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17089,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s4)) | m_user_v_ack(c_e_h_2, c_u, s4))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17090,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s4)) | m_user_v_ack(c_e_h_2, c_u, s4)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 79.18/51.47 tff(17091,plain,
% 79.18/51.47 (~node23(s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17090, 12627, 17083])).
% 79.18/51.47 tff(17092,plain,
% 79.18/51.47 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s4) | node24(s4) | node25(s4) | (~node26(s4)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s4) | node24(s4) | node25(s4) | (~node26(s4)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17093,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s4) | node24(s4) | node25(s4) | (~node26(s4)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17094,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s4) | node24(s4) | node25(s4) | (~node26(s4))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 79.18/51.47 tff(17095,plain,
% 79.18/51.47 (node24(s4) | (~node26(s4))),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17094, 12641, 17091, 17087])).
% 79.18/51.47 tff(17096,plain,
% 79.18/51.47 (~node26(s4)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17095, 17076])).
% 79.18/51.47 tff(17097,assumption,(m_user_v_ack(c_e_h_3, c_u, s3)), introduced(assumption)).
% 79.18/51.47 tff(17098,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17099,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17100,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 79.18/51.47 tff(17101,plain,
% 79.18/51.47 ($false),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17100, 7367, 17039, 17097])).
% 79.18/51.47 tff(17102,plain,((~m_user_v_ack(c_e_h_3, c_u, s3)) | m_and_h_gate_v_out(c_e_h_3, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.47 tff(17103,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_3, c_u, s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17102, 17026])).
% 79.18/51.47 tff(17104,plain,
% 79.18/51.47 (((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s3)) | m_user_v_ack(c_e_h_3, c_u, s3))) <=> ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s3)) | m_user_v_ack(c_e_h_3, c_u, s3))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17105,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s3)) | m_user_v_ack(c_e_h_3, c_u, s3))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17106,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s3)) | m_user_v_ack(c_e_h_3, c_u, s3)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17105, 17104])).
% 79.18/51.47 tff(17107,plain,
% 79.18/51.47 (~node24(s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17106, 17072, 17103])).
% 79.18/51.47 tff(17108,assumption,(m_user_v_ack(c_e_h_2, c_u, s3)), introduced(assumption)).
% 79.18/51.47 tff(17109,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17110,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17111,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17110, 17109])).
% 79.18/51.47 tff(17112,plain,
% 79.18/51.47 ($false),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17111, 7367, 17108, 12128])).
% 79.18/51.47 tff(17113,plain,((~m_user_v_ack(c_e_h_2, c_u, s3)) | m_and_h_gate_v_out(c_e_h_2, c_r, s3)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.47 tff(17114,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_2, c_u, s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17113, 12126])).
% 79.18/51.47 tff(17115,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s3) | (~node25(s3)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s3) | (~node25(s3)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17116,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s3) | (~node25(s3)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17117,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s3) | (~node25(s3))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 79.18/51.47 tff(17118,plain,
% 79.18/51.47 (~node25(s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17117, 12613, 17114])).
% 79.18/51.47 tff(17119,plain,
% 79.18/51.47 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s3)) | m_user_v_ack(c_e_h_2, c_u, s3))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s3)) | m_user_v_ack(c_e_h_2, c_u, s3))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17120,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s3)) | m_user_v_ack(c_e_h_2, c_u, s3))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17121,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s3)) | m_user_v_ack(c_e_h_2, c_u, s3)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 79.18/51.47 tff(17122,plain,
% 79.18/51.47 (~node23(s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17121, 12627, 17114])).
% 79.18/51.47 tff(17123,plain,
% 79.18/51.47 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s3) | node24(s3) | node25(s3) | (~node26(s3)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s3) | node24(s3) | node25(s3) | (~node26(s3)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17124,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s3) | node24(s3) | node25(s3) | (~node26(s3)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17125,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s3) | node24(s3) | node25(s3) | (~node26(s3))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 79.18/51.47 tff(17126,plain,
% 79.18/51.47 (node24(s3) | (~node26(s3))),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17125, 12641, 17122, 17118])).
% 79.18/51.47 tff(17127,plain,
% 79.18/51.47 (~node26(s3)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17126, 17107])).
% 79.18/51.47 tff(17128,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17129,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17130,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s2)) | m_and_h_gate_v_out(c_e_h_3, c_r, s2)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17129, 17128])).
% 79.18/51.47 tff(17131,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_3, c_u, s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17130, 7367, 17011])).
% 79.18/51.47 tff(17132,plain,
% 79.18/51.47 (((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s2)) | m_user_v_ack(c_e_h_3, c_u, s2))) <=> ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s2)) | m_user_v_ack(c_e_h_3, c_u, s2))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17133,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s2)) | m_user_v_ack(c_e_h_3, c_u, s2))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17134,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s2)) | m_user_v_ack(c_e_h_3, c_u, s2)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 79.18/51.47 tff(17135,plain,
% 79.18/51.47 (~node24(s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17134, 17072, 17131])).
% 79.18/51.47 tff(17136,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17137,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17138,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s2)) | m_and_h_gate_v_out(c_e_h_2, c_r, s2)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17137, 17136])).
% 79.18/51.47 tff(17139,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_2, c_u, s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17138, 7367, 12098])).
% 79.18/51.47 tff(17140,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s2) | (~node25(s2)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s2) | (~node25(s2)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17141,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s2) | (~node25(s2)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17142,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s2) | (~node25(s2))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 79.18/51.47 tff(17143,plain,
% 79.18/51.47 (~node25(s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17142, 12613, 17139])).
% 79.18/51.47 tff(17144,plain,
% 79.18/51.47 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s2)) | m_user_v_ack(c_e_h_2, c_u, s2))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s2)) | m_user_v_ack(c_e_h_2, c_u, s2))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17145,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s2)) | m_user_v_ack(c_e_h_2, c_u, s2))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17146,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s2)) | m_user_v_ack(c_e_h_2, c_u, s2)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 79.18/51.47 tff(17147,plain,
% 79.18/51.47 (~node23(s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17146, 12627, 17139])).
% 79.18/51.47 tff(17148,plain,
% 79.18/51.47 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s2) | node24(s2) | node25(s2) | (~node26(s2)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s2) | node24(s2) | node25(s2) | (~node26(s2)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17149,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s2) | node24(s2) | node25(s2) | (~node26(s2)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17150,plain,
% 79.18/51.47 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s2) | node24(s2) | node25(s2) | (~node26(s2))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 79.18/51.47 tff(17151,plain,
% 79.18/51.47 (node24(s2) | (~node26(s2))),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17150, 12641, 17147, 17143])).
% 79.18/51.47 tff(17152,plain,
% 79.18/51.47 (~node26(s2)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17151, 17135])).
% 79.18/51.47 tff(17153,plain,
% 79.18/51.47 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17154,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17155,plain,
% 79.18/51.47 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s1)) | m_and_h_gate_v_out(c_e_h_3, c_r, s1)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 79.18/51.47 tff(17156,plain,
% 79.18/51.47 (~m_user_v_ack(c_e_h_3, c_u, s1)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17155, 7367, 16984])).
% 79.18/51.47 tff(17157,plain,
% 79.18/51.47 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s1)) | m_user_v_ack(c_e_h_2, c_u, s1))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s1)) | m_user_v_ack(c_e_h_2, c_u, s1))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17158,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s1)) | m_user_v_ack(c_e_h_2, c_u, s1))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17159,plain,
% 79.18/51.47 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s1)) | m_user_v_ack(c_e_h_2, c_u, s1)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 79.18/51.47 tff(17160,plain,
% 79.18/51.47 (~node23(s1)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17159, 12627, 13945])).
% 79.18/51.47 tff(17161,assumption,(~node23(s1)), introduced(assumption)).
% 79.18/51.47 tff(17162,assumption,(~m_user_v_ack(c_e_h_3, c_u, s1)), introduced(assumption)).
% 79.18/51.47 tff(17163,plain,
% 79.18/51.47 (((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))) <=> ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17164,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | ((~node24(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17165,plain,
% 79.18/51.47 ((~![X: $i] : ((~node24(X)) | m_user_v_ack(c_e_h_3, c_u, X))) | (~node24(s1)) | m_user_v_ack(c_e_h_3, c_u, s1)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 79.18/51.47 tff(17166,plain,
% 79.18/51.47 (~node24(s1)),
% 79.18/51.47 inference(unit_resolution,[status(thm)],[17165, 17072, 17162])).
% 79.18/51.47 tff(17167,plain,
% 79.18/51.47 (^[X: $i] : refl((m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X))) <=> (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X))))),
% 79.18/51.47 inference(bind,[status(th)],[])).
% 79.18/51.47 tff(17168,plain,
% 79.18/51.47 (![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))),
% 79.18/51.47 inference(quant_intro,[status(thm)],[17167])).
% 79.18/51.47 tff(17169,plain,
% 79.18/51.47 (![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X))) <=> ![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17170,axiom,(![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 79.18/51.47 tff(17171,plain,
% 79.18/51.47 (![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 79.18/51.47 tff(17172,plain,(
% 79.18/51.47 ![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))),
% 79.18/51.47 inference(skolemize,[status(sab)],[17171])).
% 79.18/51.47 tff(17173,plain,
% 79.18/51.47 (![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17172, 17168])).
% 79.18/51.47 tff(17174,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | ((~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17175,plain,
% 79.18/51.47 ((m_user_v_ack(c_e_h_3, c_u, s1) | (~node25(s1))) <=> ((~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))),
% 79.18/51.47 inference(rewrite,[status(thm)],[])).
% 79.18/51.47 tff(17176,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_3, c_u, s1) | (~node25(s1)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | ((~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1)))),
% 79.18/51.47 inference(monotonicity,[status(thm)],[17175])).
% 79.18/51.47 tff(17177,plain,
% 79.18/51.47 (((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_3, c_u, s1) | (~node25(s1)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1))),
% 79.18/51.47 inference(transitivity,[status(thm)],[17176, 17174])).
% 79.18/51.47 tff(17178,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_3, c_u, s1) | (~node25(s1)))),
% 79.18/51.47 inference(quant_inst,[status(thm)],[])).
% 79.18/51.47 tff(17179,plain,
% 79.18/51.47 ((~![X: $i] : (m_user_v_ack(c_e_h_3, c_u, X) | (~node25(X)))) | (~node25(s1)) | m_user_v_ack(c_e_h_3, c_u, s1)),
% 79.18/51.47 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 79.18/51.48 tff(17180,plain,
% 79.18/51.48 (~node25(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17179, 17173, 17162])).
% 79.18/51.48 tff(17181,assumption,(node26(s1)), introduced(assumption)).
% 79.18/51.48 tff(17182,plain,
% 79.18/51.48 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s1) | node24(s1) | node25(s1) | (~node26(s1)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s1) | node24(s1) | node25(s1) | (~node26(s1)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17183,plain,
% 79.18/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s1) | node24(s1) | node25(s1) | (~node26(s1)))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17184,plain,
% 79.18/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s1) | node24(s1) | node25(s1) | (~node26(s1))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 79.18/51.48 tff(17185,plain,
% 79.18/51.48 (node23(s1) | node24(s1) | node25(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17184, 12641, 17181])).
% 79.18/51.48 tff(17186,plain,
% 79.18/51.48 ($false),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17185, 17180, 17166, 17161])).
% 79.18/51.48 tff(17187,plain,(m_user_v_ack(c_e_h_3, c_u, s1) | node23(s1) | (~node26(s1))), inference(lemma,lemma(discharge,[]))).
% 79.18/51.48 tff(17188,plain,
% 79.18/51.48 (m_user_v_ack(c_e_h_3, c_u, s1) | (~node26(s1))),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17187, 17160])).
% 79.18/51.48 tff(17189,plain,
% 79.18/51.48 (~node26(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17188, 17156])).
% 79.18/51.48 tff(17190,plain,
% 79.18/51.48 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s0)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s0)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17191,plain,
% 79.18/51.48 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s0)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17192,plain,
% 79.18/51.48 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s0)) | m_and_h_gate_v_out(c_e_h_2, c_r, s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 79.18/51.48 tff(17193,plain,
% 79.18/51.48 (~m_user_v_ack(c_e_h_2, c_u, s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17192, 7367, 12088])).
% 79.18/51.48 tff(17194,assumption,(node25(s0)), introduced(assumption)).
% 79.18/51.48 tff(17195,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17196,plain,
% 79.18/51.48 ((m_user_v_ack(c_e_h_2, c_u, s0) | (~node25(s0))) <=> ((~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17197,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s0) | (~node25(s0)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0)))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17196])).
% 79.18/51.48 tff(17198,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s0) | (~node25(s0)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0))),
% 79.18/51.48 inference(transitivity,[status(thm)],[17197, 17195])).
% 79.18/51.48 tff(17199,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s0) | (~node25(s0)))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17200,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s0)) | m_user_v_ack(c_e_h_2, c_u, s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 79.18/51.48 tff(17201,plain,
% 79.18/51.48 ($false),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17200, 12613, 17194, 17193])).
% 79.18/51.48 tff(17202,plain,(~node25(s0)), inference(lemma,lemma(discharge,[]))).
% 79.18/51.48 tff(17203,plain,
% 79.18/51.48 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s0)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s0)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17204,plain,
% 79.18/51.48 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s0)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17205,plain,
% 79.18/51.48 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s0)) | m_and_h_gate_v_out(c_e_h_1, c_r, s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 79.18/51.48 tff(17206,plain,
% 79.18/51.48 (~m_user_v_ack(c_e_h_1, c_u, s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17205, 7367, 7329])).
% 79.18/51.48 tff(17207,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s0) | (~node24(s0)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s0) | (~node24(s0)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17208,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s0) | (~node24(s0)))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17209,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s0) | (~node24(s0))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 79.18/51.48 tff(17210,plain,
% 79.18/51.48 (~node24(s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17209, 9500, 17206])).
% 79.18/51.48 tff(17211,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | ((~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17212,plain,
% 79.18/51.48 ((m_user_v_ack(c_e_h_1, c_u, s0) | (~node23(s0))) <=> ((~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17213,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s0) | (~node23(s0)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | ((~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0)))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17212])).
% 79.18/51.48 tff(17214,plain,
% 79.18/51.48 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s0) | (~node23(s0)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0))),
% 79.18/51.48 inference(transitivity,[status(thm)],[17213, 17211])).
% 79.18/51.48 tff(17215,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s0) | (~node23(s0)))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17216,plain,
% 79.18/51.48 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s0)) | m_user_v_ack(c_e_h_1, c_u, s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 79.18/51.48 tff(17217,plain,
% 79.18/51.48 (~node23(s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17216, 16519, 17206])).
% 79.18/51.48 tff(17218,plain,
% 79.18/51.48 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s0) | node24(s0) | node25(s0) | (~node26(s0)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s0) | node24(s0) | node25(s0) | (~node26(s0)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17219,plain,
% 79.18/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s0) | node24(s0) | node25(s0) | (~node26(s0)))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17220,plain,
% 79.18/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s0) | node24(s0) | node25(s0) | (~node26(s0))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 79.18/51.48 tff(17221,plain,
% 79.18/51.48 (node25(s0) | (~node26(s0))),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17220, 12641, 17217, 17210])).
% 79.18/51.48 tff(17222,plain,
% 79.18/51.48 (~node26(s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17221, 17202])).
% 79.18/51.48 tff(17223,plain,
% 79.18/51.48 (until27(s0) <=> until27(s0)),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17224,axiom,(until27(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty15')).
% 79.18/51.48 tff(17225,plain,
% 79.18/51.48 (until27(s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17224, 17223])).
% 79.18/51.48 tff(17226,plain,
% 79.18/51.48 (^[X: $i] : refl(((~until27(X)) | node26(X) | xuntil28(X)) <=> ((~until27(X)) | node26(X) | xuntil28(X)))),
% 79.18/51.48 inference(bind,[status(th)],[])).
% 79.18/51.48 tff(17227,plain,
% 79.18/51.48 (![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X)) <=> ![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(quant_intro,[status(thm)],[17226])).
% 79.18/51.48 tff(17228,plain,
% 79.18/51.48 (![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X)) <=> ![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17229,plain,
% 79.18/51.48 (^[X: $i] : rewrite(((node26(X) | xuntil28(X)) | (~until27(X))) <=> ((~until27(X)) | node26(X) | xuntil28(X)))),
% 79.18/51.48 inference(bind,[status(th)],[])).
% 79.18/51.48 tff(17230,plain,
% 79.18/51.48 (![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X))) <=> ![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(quant_intro,[status(thm)],[17229])).
% 79.18/51.48 tff(17231,axiom,(![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 79.18/51.48 tff(17232,plain,
% 79.18/51.48 (![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17231, 17230])).
% 79.18/51.48 tff(17233,plain,
% 79.18/51.48 (![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17232, 17228])).
% 79.18/51.48 tff(17234,plain,(
% 79.18/51.48 ![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(skolemize,[status(sab)],[17233])).
% 79.18/51.48 tff(17235,plain,
% 79.18/51.48 (![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17234, 17227])).
% 79.18/51.48 tff(17236,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s0) | (~until27(s0)) | node26(s0))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s0) | (~until27(s0)) | node26(s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17237,plain,
% 79.18/51.48 (((~until27(s0)) | node26(s0) | xuntil28(s0)) <=> (xuntil28(s0) | (~until27(s0)) | node26(s0))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17238,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s0)) | node26(s0) | xuntil28(s0))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s0) | (~until27(s0)) | node26(s0)))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17237])).
% 79.18/51.48 tff(17239,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s0)) | node26(s0) | xuntil28(s0))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s0) | (~until27(s0)) | node26(s0))),
% 79.18/51.48 inference(transitivity,[status(thm)],[17238, 17236])).
% 79.18/51.48 tff(17240,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s0)) | node26(s0) | xuntil28(s0))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17241,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s0) | (~until27(s0)) | node26(s0)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 79.18/51.48 tff(17242,plain,
% 79.18/51.48 (xuntil28(s0) | node26(s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17241, 17235, 17225])).
% 79.18/51.48 tff(17243,plain,
% 79.18/51.48 (xuntil28(s0)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17242, 17222])).
% 79.18/51.48 tff(17244,plain,
% 79.18/51.48 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 79.18/51.48 inference(bind,[status(th)],[])).
% 79.18/51.48 tff(17245,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(quant_intro,[status(thm)],[17244])).
% 79.18/51.48 tff(17246,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17247,plain,
% 79.18/51.48 (^[Y: $i, X: $i] : rewrite(((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 79.18/51.48 inference(bind,[status(th)],[])).
% 79.18/51.48 tff(17248,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(quant_intro,[status(thm)],[17247])).
% 79.18/51.48 tff(17249,axiom,(![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 79.18/51.48 tff(17250,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 79.18/51.48 tff(17251,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17250, 17246])).
% 79.18/51.48 tff(17252,plain,(
% 79.18/51.48 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(skolemize,[status(sab)],[17251])).
% 79.18/51.48 tff(17253,plain,
% 79.18/51.48 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17252, 17245])).
% 79.18/51.48 tff(17254,plain,
% 79.18/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17255,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17256,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 79.18/51.48 tff(17257,plain,
% 79.18/51.48 ((~xuntil28(s0)) | until27(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17256, 179, 17253])).
% 79.18/51.48 tff(17258,plain,
% 79.18/51.48 (until27(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17257, 17243])).
% 79.18/51.48 tff(17259,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17260,plain,
% 79.18/51.48 (((~until27(s1)) | node26(s1) | xuntil28(s1)) <=> (xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17261,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s1)) | node26(s1) | xuntil28(s1))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1))))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17260])).
% 79.18/51.48 tff(17262,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s1)) | node26(s1) | xuntil28(s1))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 79.18/51.48 inference(transitivity,[status(thm)],[17261, 17259])).
% 79.18/51.48 tff(17263,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s1)) | node26(s1) | xuntil28(s1))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17264,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 79.18/51.48 tff(17265,plain,
% 79.18/51.48 (xuntil28(s1) | node26(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17264, 17235, 17258])).
% 79.18/51.48 tff(17266,plain,
% 79.18/51.48 (xuntil28(s1)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17265, 17189])).
% 79.18/51.48 tff(17267,plain,
% 79.18/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17268,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17269,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 79.18/51.48 tff(17270,plain,
% 79.18/51.48 ((~xuntil28(s1)) | until27(s2)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17269, 261, 17253])).
% 79.18/51.48 tff(17271,plain,
% 79.18/51.48 (until27(s2)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17270, 17266])).
% 79.18/51.48 tff(17272,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17273,plain,
% 79.18/51.48 (((~until27(s2)) | node26(s2) | xuntil28(s2)) <=> (xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17274,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s2)) | node26(s2) | xuntil28(s2))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2))))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17273])).
% 79.18/51.48 tff(17275,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s2)) | node26(s2) | xuntil28(s2))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 79.18/51.48 inference(transitivity,[status(thm)],[17274, 17272])).
% 79.18/51.48 tff(17276,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s2)) | node26(s2) | xuntil28(s2))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17277,plain,
% 79.18/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2))),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 79.18/51.48 tff(17278,plain,
% 79.18/51.48 (xuntil28(s2) | node26(s2)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17277, 17235, 17271])).
% 79.18/51.48 tff(17279,plain,
% 79.18/51.48 (xuntil28(s2)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17278, 17152])).
% 79.18/51.48 tff(17280,plain,
% 79.18/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17281,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 79.18/51.48 inference(quant_inst,[status(thm)],[])).
% 79.18/51.48 tff(17282,plain,
% 79.18/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3)),
% 79.18/51.48 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 79.18/51.48 tff(17283,plain,
% 79.18/51.48 ((~xuntil28(s2)) | until27(s3)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17282, 459, 17253])).
% 79.18/51.48 tff(17284,plain,
% 79.18/51.48 (until27(s3)),
% 79.18/51.48 inference(unit_resolution,[status(thm)],[17283, 17279])).
% 79.18/51.48 tff(17285,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s3) | (~until27(s3)) | node26(s3))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s3) | (~until27(s3)) | node26(s3))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17286,plain,
% 79.18/51.48 (((~until27(s3)) | node26(s3) | xuntil28(s3)) <=> (xuntil28(s3) | (~until27(s3)) | node26(s3))),
% 79.18/51.48 inference(rewrite,[status(thm)],[])).
% 79.18/51.48 tff(17287,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s3)) | node26(s3) | xuntil28(s3))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s3) | (~until27(s3)) | node26(s3)))),
% 79.18/51.48 inference(monotonicity,[status(thm)],[17286])).
% 79.18/51.48 tff(17288,plain,
% 79.18/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s3)) | node26(s3) | xuntil28(s3))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s3) | (~until27(s3)) | node26(s3))),
% 79.22/51.48 inference(transitivity,[status(thm)],[17287, 17285])).
% 79.22/51.48 tff(17289,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s3)) | node26(s3) | xuntil28(s3))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17290,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s3) | (~until27(s3)) | node26(s3)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 79.22/51.48 tff(17291,plain,
% 79.22/51.48 (xuntil28(s3) | node26(s3)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17290, 17235, 17284])).
% 79.22/51.48 tff(17292,plain,
% 79.22/51.48 (xuntil28(s3)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17291, 17127])).
% 79.22/51.48 tff(17293,plain,
% 79.22/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17294,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17295,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17294, 17293])).
% 79.22/51.48 tff(17296,plain,
% 79.22/51.48 ((~xuntil28(s3)) | until27(s4)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17295, 707, 17253])).
% 79.22/51.48 tff(17297,plain,
% 79.22/51.48 (until27(s4)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17296, 17292])).
% 79.22/51.48 tff(17298,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s4) | (~until27(s4)) | node26(s4))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s4) | (~until27(s4)) | node26(s4))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17299,plain,
% 79.22/51.48 (((~until27(s4)) | node26(s4) | xuntil28(s4)) <=> (xuntil28(s4) | (~until27(s4)) | node26(s4))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17300,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s4)) | node26(s4) | xuntil28(s4))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s4) | (~until27(s4)) | node26(s4)))),
% 79.22/51.48 inference(monotonicity,[status(thm)],[17299])).
% 79.22/51.48 tff(17301,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s4)) | node26(s4) | xuntil28(s4))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s4) | (~until27(s4)) | node26(s4))),
% 79.22/51.48 inference(transitivity,[status(thm)],[17300, 17298])).
% 79.22/51.48 tff(17302,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s4)) | node26(s4) | xuntil28(s4))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17303,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s4) | (~until27(s4)) | node26(s4)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17302, 17301])).
% 79.22/51.48 tff(17304,plain,
% 79.22/51.48 (xuntil28(s4) | node26(s4)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17303, 17235, 17297])).
% 79.22/51.48 tff(17305,plain,
% 79.22/51.48 (xuntil28(s4)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17304, 17096])).
% 79.22/51.48 tff(17306,plain,
% 79.22/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17307,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17308,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17307, 17306])).
% 79.22/51.48 tff(17309,plain,
% 79.22/51.48 ((~xuntil28(s4)) | until27(s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17308, 926, 17253])).
% 79.22/51.48 tff(17310,plain,
% 79.22/51.48 (until27(s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17309, 17305])).
% 79.22/51.48 tff(17311,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s5) | (~until27(s5)) | node26(s5))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s5) | (~until27(s5)) | node26(s5))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17312,plain,
% 79.22/51.48 (((~until27(s5)) | node26(s5) | xuntil28(s5)) <=> (xuntil28(s5) | (~until27(s5)) | node26(s5))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17313,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s5)) | node26(s5) | xuntil28(s5))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s5) | (~until27(s5)) | node26(s5)))),
% 79.22/51.48 inference(monotonicity,[status(thm)],[17312])).
% 79.22/51.48 tff(17314,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s5)) | node26(s5) | xuntil28(s5))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s5) | (~until27(s5)) | node26(s5))),
% 79.22/51.48 inference(transitivity,[status(thm)],[17313, 17311])).
% 79.22/51.48 tff(17315,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s5)) | node26(s5) | xuntil28(s5))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17316,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s5) | (~until27(s5)) | node26(s5)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17315, 17314])).
% 79.22/51.48 tff(17317,plain,
% 79.22/51.48 (xuntil28(s5) | node26(s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17316, 17235, 17310])).
% 79.22/51.48 tff(17318,plain,
% 79.22/51.48 (xuntil28(s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17317, 16596])).
% 79.22/51.48 tff(17319,plain,
% 79.22/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17320,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17321,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 79.22/51.48 tff(17322,plain,
% 79.22/51.48 ((~xuntil28(s5)) | until27(s6)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17321, 1339, 17253])).
% 79.22/51.48 tff(17323,plain,
% 79.22/51.48 (until27(s6)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17322, 17318])).
% 79.22/51.48 tff(17324,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17325,plain,
% 79.22/51.48 (((~until27(s6)) | node26(s6) | xuntil28(s6)) <=> (xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17326,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s6)) | node26(s6) | xuntil28(s6))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6))))),
% 79.22/51.48 inference(monotonicity,[status(thm)],[17325])).
% 79.22/51.48 tff(17327,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s6)) | node26(s6) | xuntil28(s6))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 79.22/51.48 inference(transitivity,[status(thm)],[17326, 17324])).
% 79.22/51.48 tff(17328,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s6)) | node26(s6) | xuntil28(s6))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17329,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6))),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17328, 17327])).
% 79.22/51.48 tff(17330,plain,
% 79.22/51.48 (xuntil28(s6) | node26(s6)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17329, 17235, 17323])).
% 79.22/51.48 tff(17331,plain,
% 79.22/51.48 (xuntil28(s6)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17330, 16572])).
% 79.22/51.48 tff(17332,plain,
% 79.22/51.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17333,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17334,plain,
% 79.22/51.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7)),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 79.22/51.48 tff(17335,plain,
% 79.22/51.48 ((~xuntil28(s6)) | until27(s7)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17334, 1681, 17253])).
% 79.22/51.48 tff(17336,plain,
% 79.22/51.48 (until27(s7)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17335, 17331])).
% 79.22/51.48 tff(17337,assumption,(~xuntil28(s7)), introduced(assumption)).
% 79.22/51.48 tff(17338,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17339,plain,
% 79.22/51.48 (((~until27(s7)) | node26(s7) | xuntil28(s7)) <=> (xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17340,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s7)) | node26(s7) | xuntil28(s7))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7))))),
% 79.22/51.48 inference(monotonicity,[status(thm)],[17339])).
% 79.22/51.48 tff(17341,plain,
% 79.22/51.48 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s7)) | node26(s7) | xuntil28(s7))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 79.22/51.48 inference(transitivity,[status(thm)],[17340, 17338])).
% 79.22/51.48 tff(17342,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s7)) | node26(s7) | xuntil28(s7))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17343,plain,
% 79.22/51.48 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7))),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 79.22/51.48 tff(17344,plain,
% 79.22/51.48 (node26(s7) | (~until27(s7))),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17343, 17235, 17337])).
% 79.22/51.48 tff(17345,plain,
% 79.22/51.48 (node26(s7)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17344, 17336])).
% 79.22/51.48 tff(17346,assumption,(~node25(s7)), introduced(assumption)).
% 79.22/51.48 tff(17347,assumption,(~node23(s7)), introduced(assumption)).
% 79.22/51.48 tff(17348,plain,
% 79.22/51.48 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s7) | node24(s7) | node25(s7) | (~node26(s7)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s7) | node24(s7) | node25(s7) | (~node26(s7)))),
% 79.22/51.48 inference(rewrite,[status(thm)],[])).
% 79.22/51.48 tff(17349,plain,
% 79.22/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s7) | node24(s7) | node25(s7) | (~node26(s7)))),
% 79.22/51.48 inference(quant_inst,[status(thm)],[])).
% 79.22/51.48 tff(17350,plain,
% 79.22/51.48 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s7) | node24(s7) | node25(s7) | (~node26(s7))),
% 79.22/51.48 inference(modus_ponens,[status(thm)],[17349, 17348])).
% 79.22/51.48 tff(17351,plain,
% 79.22/51.48 (node24(s7) | (~node26(s7))),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17350, 12641, 17347, 17346])).
% 79.22/51.48 tff(17352,plain,
% 79.22/51.48 (node24(s7)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[17351, 17345])).
% 79.22/51.48 tff(17353,plain,
% 79.22/51.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[5229, 5130, 5133])).
% 79.22/51.48 tff(17354,plain,
% 79.22/51.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[5233, 3886, 17353])).
% 79.22/51.48 tff(17355,plain,
% 79.22/51.48 (~node9(c_e_h_1, c_m, s5)),
% 79.22/51.48 inference(unit_resolution,[status(thm)],[5237, 238, 17354])).
% 79.22/51.48 tff(17356,plain,
% 79.22/51.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[5258, 5455, 17355])).
% 79.22/51.49 tff(17357,plain,
% 79.22/51.49 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s6)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9380, 7347, 17356])).
% 79.22/51.49 tff(17358,plain,
% 79.22/51.49 (~node20(c_e_h_1, c_r, s6)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9384, 334, 17357])).
% 79.22/51.49 tff(17359,plain,
% 79.22/51.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s7)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9408, 17358, 16547])).
% 79.22/51.49 tff(17360,plain,
% 79.22/51.49 (~m_user_v_ack(c_e_h_1, c_u, s7)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[16111, 17359])).
% 79.22/51.49 tff(17361,plain,
% 79.22/51.49 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17362,plain,
% 79.22/51.49 ((m_user_v_ack(c_e_h_1, c_u, s7) | (~node24(s7))) <=> ((~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17363,plain,
% 79.22/51.49 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s7) | (~node24(s7)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7)))),
% 79.22/51.49 inference(monotonicity,[status(thm)],[17362])).
% 79.22/51.49 tff(17364,plain,
% 79.22/51.49 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s7) | (~node24(s7)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7))),
% 79.22/51.49 inference(transitivity,[status(thm)],[17363, 17361])).
% 79.22/51.49 tff(17365,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s7) | (~node24(s7)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17366,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s7)) | m_user_v_ack(c_e_h_1, c_u, s7)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 79.22/51.49 tff(17367,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17366, 9500, 17360, 17352])).
% 79.22/51.49 tff(17368,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s3) | node23(s7) | node25(s7) | xuntil28(s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17369,plain,
% 79.22/51.49 (node25(s7) | xuntil28(s7)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17368, 5128, 4882, 5813, 16543])).
% 79.22/51.49 tff(17370,plain,
% 79.22/51.49 (xuntil28(s7)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17369, 16539])).
% 79.22/51.49 tff(17371,plain,
% 79.22/51.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17372,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17373,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17372, 17371])).
% 79.22/51.49 tff(17374,plain,
% 79.22/51.49 ((~xuntil28(s7)) | until27(s8)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17373, 2452, 17253])).
% 79.22/51.49 tff(17375,plain,
% 79.22/51.49 (until27(s8)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17374, 17370])).
% 79.22/51.49 tff(17376,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17377,plain,
% 79.22/51.49 (((~until27(s8)) | node26(s8) | xuntil28(s8)) <=> (xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17378,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s8)) | node26(s8) | xuntil28(s8))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8))))),
% 79.22/51.49 inference(monotonicity,[status(thm)],[17377])).
% 79.22/51.49 tff(17379,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s8)) | node26(s8) | xuntil28(s8))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 79.22/51.49 inference(transitivity,[status(thm)],[17378, 17376])).
% 79.22/51.49 tff(17380,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s8)) | node26(s8) | xuntil28(s8))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17381,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 79.22/51.49 tff(17382,plain,
% 79.22/51.49 (xuntil28(s8)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17381, 17235, 17375, 16528])).
% 79.22/51.49 tff(17383,plain,
% 79.22/51.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17384,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17385,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 79.22/51.49 tff(17386,plain,
% 79.22/51.49 ((~xuntil28(s8)) | until27(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17385, 3709, 17253])).
% 79.22/51.49 tff(17387,plain,
% 79.22/51.49 (until27(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17386, 17382])).
% 79.22/51.49 tff(17388,assumption,(~node25(s9)), introduced(assumption)).
% 79.22/51.49 tff(17389,assumption,(m_user_v_ack(c_e_h_1, c_u, s9)), introduced(assumption)).
% 79.22/51.49 tff(17390,plain,
% 79.22/51.49 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17391,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17392,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 79.22/51.49 tff(17393,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17392, 7367, 9459, 17389])).
% 79.22/51.49 tff(17394,plain,((~m_user_v_ack(c_e_h_1, c_u, s9)) | m_and_h_gate_v_out(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17395,plain,
% 79.22/51.49 (~m_user_v_ack(c_e_h_1, c_u, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17394, 9459])).
% 79.22/51.49 tff(17396,assumption,(node26(s9)), introduced(assumption)).
% 79.22/51.49 tff(17397,assumption,(~m_user_v_ack(c_e_h_1, c_u, s9)), introduced(assumption)).
% 79.22/51.49 tff(17398,plain,
% 79.22/51.49 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s9) | (~node23(s9)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s9) | (~node23(s9)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17399,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s9) | (~node23(s9)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17400,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s9) | (~node23(s9))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 79.22/51.49 tff(17401,plain,
% 79.22/51.49 (~node23(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17400, 16519, 17397])).
% 79.22/51.49 tff(17402,plain,
% 79.22/51.49 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s9) | (~node24(s9)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s9) | (~node24(s9)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17403,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s9) | (~node24(s9)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17404,plain,
% 79.22/51.49 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s9) | (~node24(s9))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 79.22/51.49 tff(17405,plain,
% 79.22/51.49 (~node24(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17404, 9500, 17397])).
% 79.22/51.49 tff(17406,plain,
% 79.22/51.49 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s9) | node24(s9) | node25(s9) | (~node26(s9)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s9) | node24(s9) | node25(s9) | (~node26(s9)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17407,plain,
% 79.22/51.49 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s9) | node24(s9) | node25(s9) | (~node26(s9)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17408,plain,
% 79.22/51.49 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s9) | node24(s9) | node25(s9) | (~node26(s9))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 79.22/51.49 tff(17409,plain,
% 79.22/51.49 (node23(s9) | node24(s9) | (~node26(s9))),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17408, 12641, 17388])).
% 79.22/51.49 tff(17410,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17409, 17405, 17401, 17396])).
% 79.22/51.49 tff(17411,plain,(m_user_v_ack(c_e_h_1, c_u, s9) | (~node26(s9)) | node25(s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17412,plain,
% 79.22/51.49 (~node26(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17411, 17395, 17388])).
% 79.22/51.49 tff(17413,assumption,(until27(s9)), introduced(assumption)).
% 79.22/51.49 tff(17414,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s9) | (~until27(s9)) | node26(s9))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s9) | (~until27(s9)) | node26(s9))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17415,plain,
% 79.22/51.49 (((~until27(s9)) | node26(s9) | xuntil28(s9)) <=> (xuntil28(s9) | (~until27(s9)) | node26(s9))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17416,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s9)) | node26(s9) | xuntil28(s9))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s9) | (~until27(s9)) | node26(s9)))),
% 79.22/51.49 inference(monotonicity,[status(thm)],[17415])).
% 79.22/51.49 tff(17417,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s9)) | node26(s9) | xuntil28(s9))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s9) | (~until27(s9)) | node26(s9))),
% 79.22/51.49 inference(transitivity,[status(thm)],[17416, 17414])).
% 79.22/51.49 tff(17418,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s9)) | node26(s9) | xuntil28(s9))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17419,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s9) | (~until27(s9)) | node26(s9)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 79.22/51.49 tff(17420,plain,
% 79.22/51.49 (xuntil28(s9) | node26(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17419, 17235, 17413])).
% 79.22/51.49 tff(17421,plain,
% 79.22/51.49 (xuntil28(s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17420, 17412])).
% 79.22/51.49 tff(17422,plain,
% 79.22/51.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17423,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17424,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 79.22/51.49 tff(17425,plain,
% 79.22/51.49 ((~xuntil28(s9)) | until27(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17424, 6035, 17253])).
% 79.22/51.49 tff(17426,plain,
% 79.22/51.49 (until27(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17425, 17421])).
% 79.22/51.49 tff(17427,plain,
% 79.22/51.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9481, 9459, 9468])).
% 79.22/51.49 tff(17428,plain,
% 79.22/51.49 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9490, 17427])).
% 79.22/51.49 tff(17429,plain,
% 79.22/51.49 (~node24(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9505, 17428])).
% 79.22/51.49 tff(17430,assumption,(~node25(s10)), introduced(assumption)).
% 79.22/51.49 tff(17431,assumption,(~node23(s10)), introduced(assumption)).
% 79.22/51.49 tff(17432,plain,
% 79.22/51.49 (node24(s10) | (~node26(s10))),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[12644, 12641, 17431, 17430])).
% 79.22/51.49 tff(17433,plain,
% 79.22/51.49 (~node26(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17432, 17429])).
% 79.22/51.49 tff(17434,assumption,(~xuntil28(s10)), introduced(assumption)).
% 79.22/51.49 tff(17435,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s10) | (~until27(s10)) | node26(s10))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s10) | (~until27(s10)) | node26(s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17436,plain,
% 79.22/51.49 (((~until27(s10)) | node26(s10) | xuntil28(s10)) <=> (xuntil28(s10) | (~until27(s10)) | node26(s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17437,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s10)) | node26(s10) | xuntil28(s10))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s10) | (~until27(s10)) | node26(s10)))),
% 79.22/51.49 inference(monotonicity,[status(thm)],[17436])).
% 79.22/51.49 tff(17438,plain,
% 79.22/51.49 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s10)) | node26(s10) | xuntil28(s10))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s10) | (~until27(s10)) | node26(s10))),
% 79.22/51.49 inference(transitivity,[status(thm)],[17437, 17435])).
% 79.22/51.49 tff(17439,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s10)) | node26(s10) | xuntil28(s10))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17440,plain,
% 79.22/51.49 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s10) | (~until27(s10)) | node26(s10)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 79.22/51.49 tff(17441,plain,
% 79.22/51.49 ((~until27(s10)) | node26(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17440, 17235, 17434])).
% 79.22/51.49 tff(17442,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17441, 17433, 17426])).
% 79.22/51.49 tff(17443,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s9) | xuntil28(s10) | node23(s10) | node25(s10) | (~until27(s9)) | node25(s9) | node20(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17444,plain,
% 79.22/51.49 (m_and_h_gate_v_out(c_e_h_1, c_r, s9) | xuntil28(s10) | node23(s10) | node25(s10) | node25(s9) | node20(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17443, 17387])).
% 79.22/51.49 tff(17445,plain,
% 79.22/51.49 (m_and_h_gate_v_out(c_e_h_1, c_r, s9) | xuntil28(s10) | node20(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17444, 16490, 12617, 12631])).
% 79.22/51.49 tff(17446,plain,
% 79.22/51.49 (xuntil28(s10) | node20(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17445, 9458])).
% 79.22/51.49 tff(17447,plain,
% 79.22/51.49 (xuntil28(s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17446, 16301])).
% 79.22/51.49 tff(17448,plain,
% 79.22/51.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17449,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17450,plain,
% 79.22/51.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 79.22/51.49 tff(17451,plain,
% 79.22/51.49 ((~xuntil28(s10)) | until27(s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17450, 8011, 17253])).
% 79.22/51.49 tff(17452,plain,
% 79.22/51.49 (until27(s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17451, 17447])).
% 79.22/51.49 tff(17453,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.22/51.49 tff(17454,plain,
% 79.22/51.49 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9202, 8744])).
% 79.22/51.49 tff(17455,plain,
% 79.22/51.49 (~node20(c_e_h_1, c_r, s9)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9210, 17454])).
% 79.22/51.49 tff(17456,plain,
% 79.22/51.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[9482, 17455])).
% 79.22/51.49 tff(17457,plain,
% 79.22/51.49 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[16455, 8744, 16434])).
% 79.22/51.49 tff(17458,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.22/51.49 tff(17459,plain,
% 79.22/51.49 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17460,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17461,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 79.22/51.49 tff(17462,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17461, 7347, 16457, 17458])).
% 79.22/51.49 tff(17463,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17464,plain,
% 79.22/51.49 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17463, 17457])).
% 79.22/51.49 tff(17465,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.22/51.49 tff(17466,assumption,(node20(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.22/51.49 tff(17467,plain,
% 79.22/51.49 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17468,plain,
% 79.22/51.49 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17469,plain,
% 79.22/51.49 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 79.22/51.49 tff(17470,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17469, 334, 17466, 17465])).
% 79.22/51.49 tff(17471,plain,((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17472,plain,
% 79.22/51.49 (~node20(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17471, 17464])).
% 79.22/51.49 tff(17473,assumption,(~node20(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.22/51.49 tff(17474,assumption,(node22(c_e_h_1, c_r, s10, s11)), introduced(assumption)).
% 79.22/51.49 tff(17475,plain,
% 79.22/51.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node22(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node22(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17476,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node22(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17477,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node22(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17476, 17475])).
% 79.22/51.49 tff(17478,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17477, 437, 9485, 17474, 17453])).
% 79.22/51.49 tff(17479,plain,((~node22(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17480,plain,
% 79.22/51.49 (~node22(c_e_h_1, c_r, s10, s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17479, 17453, 9485])).
% 79.22/51.49 tff(17481,plain,
% 79.22/51.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_r, s10, s11) | node22(c_e_h_1, c_r, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_r, s10, s11) | node22(c_e_h_1, c_r, s10, s11))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17482,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_r, s10, s11) | node22(c_e_h_1, c_r, s10, s11))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17483,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_r, s10, s11) | node22(c_e_h_1, c_r, s10, s11)),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 79.22/51.49 tff(17484,plain,
% 79.22/51.49 (node21(c_e_h_1, c_r, s10, s11) | node22(c_e_h_1, c_r, s10, s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17483, 383, 8015])).
% 79.22/51.49 tff(17485,plain,
% 79.22/51.49 (node21(c_e_h_1, c_r, s10, s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17484, 17480])).
% 79.22/51.49 tff(17486,plain,
% 79.22/51.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17487,plain,
% 79.22/51.49 ((node20(c_e_h_1, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node21(c_e_h_1, c_r, s10, s11))) <=> (node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17488,plain,
% 79.22/51.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node21(c_e_h_1, c_r, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11))))),
% 79.22/51.49 inference(monotonicity,[status(thm)],[17487])).
% 79.22/51.49 tff(17489,plain,
% 79.22/51.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node21(c_e_h_1, c_r, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)))),
% 79.22/51.49 inference(transitivity,[status(thm)],[17488, 17486])).
% 79.22/51.49 tff(17490,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | (~node21(c_e_h_1, c_r, s10, s11)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17491,plain,
% 79.22/51.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s10) | (~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 79.22/51.49 tff(17492,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17491, 348, 17485, 17473, 17453])).
% 79.22/51.49 tff(17493,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | node20(c_e_h_1, c_r, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17494,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17493, 17472, 17456, 17453])).
% 79.22/51.49 tff(17495,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | node9(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17496,plain,
% 79.22/51.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17495, 16433, 16299])).
% 79.22/51.49 tff(17497,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.22/51.49 tff(17498,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.22/51.49 tff(17499,plain,
% 79.22/51.49 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))),
% 79.22/51.49 inference(rewrite,[status(thm)],[])).
% 79.22/51.49 tff(17500,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))),
% 79.22/51.49 inference(quant_inst,[status(thm)],[])).
% 79.22/51.49 tff(17501,plain,
% 79.22/51.49 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.22/51.49 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 79.22/51.49 tff(17502,plain,
% 79.22/51.49 ($false),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17501, 3886, 17498, 17497])).
% 79.22/51.49 tff(17503,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.49 tff(17504,plain,
% 79.22/51.49 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.22/51.49 inference(unit_resolution,[status(thm)],[17503, 16404])).
% 79.22/51.49 tff(17505,assumption,(node9(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.22/51.49 tff(17506,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.22/51.49 tff(17507,plain,
% 79.22/51.49 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17508,plain,
% 79.22/51.50 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17509,plain,
% 79.22/51.50 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 79.22/51.50 tff(17510,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17509, 238, 17506, 17505])).
% 79.22/51.50 tff(17511,plain,((~node9(c_e_h_1, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17512,plain,
% 79.22/51.50 (~node9(c_e_h_1, c_m, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17511, 17504])).
% 79.22/51.50 tff(17513,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), introduced(assumption)).
% 79.22/51.50 tff(17514,assumption,(node11(c_e_h_1, c_m, s10, s11)), introduced(assumption)).
% 79.22/51.50 tff(17515,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node11(c_e_h_1, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node11(c_e_h_1, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17516,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node11(c_e_h_1, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17517,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node11(c_e_h_1, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 79.22/51.50 tff(17518,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17517, 282, 17514, 17513, 16457])).
% 79.22/51.50 tff(17519,plain,((~node11(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17520,plain,
% 79.22/51.50 (~node11(c_e_h_1, c_m, s10, s11)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17519, 17513, 16457])).
% 79.22/51.50 tff(17521,assumption,(~node9(c_e_h_1, c_m, s10)), introduced(assumption)).
% 79.22/51.50 tff(17522,assumption,(node10(c_e_h_1, c_m, s10, s11)), introduced(assumption)).
% 79.22/51.50 tff(17523,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17524,plain,
% 79.22/51.50 ((node9(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node10(c_e_h_1, c_m, s10, s11))) <=> ((~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17525,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node10(c_e_h_1, c_m, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10)))),
% 79.22/51.50 inference(monotonicity,[status(thm)],[17524])).
% 79.22/51.50 tff(17526,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node10(c_e_h_1, c_m, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10))),
% 79.22/51.50 inference(transitivity,[status(thm)],[17525, 17523])).
% 79.22/51.50 tff(17527,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | (~node10(c_e_h_1, c_m, s10, s11)))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17528,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 79.22/51.50 tff(17529,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17528, 252, 17522, 17513, 17521])).
% 79.22/51.50 tff(17530,plain,((~node10(c_e_h_1, c_m, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17531,plain,
% 79.22/51.50 (~node10(c_e_h_1, c_m, s10, s11)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17530, 17513, 17521])).
% 79.22/51.50 tff(17532,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_1, c_m, s10, s11) | node11(c_e_h_1, c_m, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_1, c_m, s10, s11) | node11(c_e_h_1, c_m, s10, s11))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17533,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_1, c_m, s10, s11) | node11(c_e_h_1, c_m, s10, s11))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17534,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_1, c_m, s10, s11) | node11(c_e_h_1, c_m, s10, s11)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 79.22/51.50 tff(17535,plain,
% 79.22/51.50 (node10(c_e_h_1, c_m, s10, s11) | node11(c_e_h_1, c_m, s10, s11)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17534, 193, 8015])).
% 79.22/51.50 tff(17536,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17535, 17531, 17520])).
% 79.22/51.50 tff(17537,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)) | node9(c_e_h_1, c_m, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17538,plain,
% 79.22/51.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17537, 17512, 16456])).
% 79.22/51.50 tff(17539,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s11)), introduced(assumption)).
% 79.22/51.50 tff(17540,plain,
% 79.22/51.50 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[9490, 9485])).
% 79.22/51.50 tff(17541,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), introduced(assumption)).
% 79.22/51.50 tff(17542,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.50 tff(17543,plain,
% 79.22/51.50 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17544,plain,
% 79.22/51.50 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17545,plain,
% 79.22/51.50 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 79.22/51.50 tff(17546,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17545, 2644, 17541, 17542])).
% 79.22/51.50 tff(17547,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17548,plain,
% 79.22/51.50 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17547, 17541])).
% 79.22/51.50 tff(17549,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.50 tff(17550,assumption,(node20(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.50 tff(17551,plain,
% 79.22/51.50 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17552,plain,
% 79.22/51.50 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17553,plain,
% 79.22/51.50 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17552, 17551])).
% 79.22/51.50 tff(17554,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17553, 22, 17550, 17549])).
% 79.22/51.50 tff(17555,plain,((~node20(c_e_h_1, c_c, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17556,plain,
% 79.22/51.50 (~node20(c_e_h_1, c_c, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17555, 17548])).
% 79.22/51.50 tff(17557,plain,
% 79.22/51.50 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[16137, 15279])).
% 79.22/51.50 tff(17558,plain,
% 79.22/51.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[16145, 17557])).
% 79.22/51.50 tff(17559,plain,
% 79.22/51.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15417, 15279])).
% 79.22/51.50 tff(17560,plain,
% 79.22/51.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15378, 15250])).
% 79.22/51.50 tff(17561,plain,
% 79.22/51.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15314, 15308])).
% 79.22/51.50 tff(17562,plain,
% 79.22/51.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15305, 17561, 15006])).
% 79.22/51.50 tff(17563,plain,
% 79.22/51.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15371, 17562, 17560])).
% 79.22/51.50 tff(17564,plain,
% 79.22/51.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[15409, 17563, 17559])).
% 79.22/51.50 tff(17565,assumption,(~m_user_v_req(c_e_h_1, c_u, s9)), introduced(assumption)).
% 79.22/51.50 tff(17566,assumption,(node7(c_e_h_1, c_u, s8, s9)), introduced(assumption)).
% 79.22/51.50 tff(17567,assumption,(~m_user_v_ack(c_e_h_1, c_u, s8)), introduced(assumption)).
% 79.22/51.50 tff(17568,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_ack(c_e_h_1, c_u, s8) | m_user_v_req(c_e_h_1, c_u, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_ack(c_e_h_1, c_u, s8) | m_user_v_req(c_e_h_1, c_u, s9))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17569,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_ack(c_e_h_1, c_u, s8) | m_user_v_req(c_e_h_1, c_u, s9))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17570,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_ack(c_e_h_1, c_u, s8) | m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 79.22/51.50 tff(17571,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17570, 7383, 17567, 17566, 17565])).
% 79.22/51.50 tff(17572,plain,((~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_ack(c_e_h_1, c_u, s8) | m_user_v_req(c_e_h_1, c_u, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17573,plain,
% 79.22/51.50 ((~node7(c_e_h_1, c_u, s8, s9)) | m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17572, 16508])).
% 79.22/51.50 tff(17574,plain,
% 79.22/51.50 (~node7(c_e_h_1, c_u, s8, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17573, 17565])).
% 79.22/51.50 tff(17575,assumption,(node8(c_e_h_1, c_u, s8, s9)), introduced(assumption)).
% 79.22/51.50 tff(17576,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17577,plain,
% 79.22/51.50 ((m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)) | (~m_user_v_req(c_e_h_1, c_u, s8))) <=> ((~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17578,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)) | (~m_user_v_req(c_e_h_1, c_u, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9))))),
% 79.22/51.50 inference(monotonicity,[status(thm)],[17577])).
% 79.22/51.50 tff(17579,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)) | (~m_user_v_req(c_e_h_1, c_u, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)))),
% 79.22/51.50 inference(transitivity,[status(thm)],[17578, 17576])).
% 79.22/51.50 tff(17580,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9)) | (~m_user_v_req(c_e_h_1, c_u, s8)))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17581,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9) | (~node8(c_e_h_1, c_u, s8, s9))),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17580, 17579])).
% 79.22/51.50 tff(17582,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17581, 7402, 17575, 16140, 17565])).
% 79.22/51.50 tff(17583,plain,((~node8(c_e_h_1, c_u, s8, s9)) | (~m_user_v_req(c_e_h_1, c_u, s8)) | m_user_v_req(c_e_h_1, c_u, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17584,plain,
% 79.22/51.50 (~node8(c_e_h_1, c_u, s8, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17583, 17565, 16140])).
% 79.22/51.50 tff(17585,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s8, s9)) | node7(c_e_h_1, c_u, s8, s9) | node8(c_e_h_1, c_u, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s8, s9)) | node7(c_e_h_1, c_u, s8, s9) | node8(c_e_h_1, c_u, s8, s9))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17586,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s8, s9)) | node7(c_e_h_1, c_u, s8, s9) | node8(c_e_h_1, c_u, s8, s9))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17587,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s8, s9)) | node7(c_e_h_1, c_u, s8, s9) | node8(c_e_h_1, c_u, s8, s9)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 79.22/51.50 tff(17588,plain,
% 79.22/51.50 (node7(c_e_h_1, c_u, s8, s9) | node8(c_e_h_1, c_u, s8, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17587, 7421, 3713])).
% 79.22/51.50 tff(17589,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17588, 17584, 17574])).
% 79.22/51.50 tff(17590,plain,(m_user_v_req(c_e_h_1, c_u, s9) | (~m_user_v_req(c_e_h_1, c_u, s8))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17591,plain,
% 79.22/51.50 (m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17590, 17557])).
% 79.22/51.50 tff(17592,assumption,(m_user_v_req(c_e_h_1, c_u, s9)), introduced(assumption)).
% 79.22/51.50 tff(17593,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)), introduced(assumption)).
% 79.22/51.50 tff(17594,plain,
% 79.22/51.50 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17595,plain,
% 79.22/51.50 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17596,plain,
% 79.22/51.50 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 79.22/51.50 tff(17597,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17596, 7318, 17593, 17592])).
% 79.22/51.50 tff(17598,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_user_v_req(c_e_h_1, c_u, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17599,plain,
% 79.22/51.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17598, 17591])).
% 79.22/51.50 tff(17600,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)), introduced(assumption)).
% 79.22/51.50 tff(17601,assumption,(node13(c_e_h_1, c_a, s9, s10)), introduced(assumption)).
% 79.22/51.50 tff(17602,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~node13(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~node13(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17603,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~node13(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17604,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~node13(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 79.22/51.50 tff(17605,plain,
% 79.22/51.50 ($false),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17604, 7277, 17601, 17541, 16213])).
% 79.22/51.50 tff(17606,plain,((~node13(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.50 tff(17607,plain,
% 79.22/51.50 (~node13(c_e_h_1, c_a, s9, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17606, 17541, 16213])).
% 79.22/51.50 tff(17608,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s9, s10)) | node12(c_e_h_1, c_a, s9, s10) | node13(c_e_h_1, c_a, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s9, s10)) | node12(c_e_h_1, c_a, s9, s10) | node13(c_e_h_1, c_a, s9, s10))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17609,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s9, s10)) | node12(c_e_h_1, c_a, s9, s10) | node13(c_e_h_1, c_a, s9, s10))),
% 79.22/51.50 inference(quant_inst,[status(thm)],[])).
% 79.22/51.50 tff(17610,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s9, s10)) | node12(c_e_h_1, c_a, s9, s10) | node13(c_e_h_1, c_a, s9, s10)),
% 79.22/51.50 inference(modus_ponens,[status(thm)],[17609, 17608])).
% 79.22/51.50 tff(17611,plain,
% 79.22/51.50 (node12(c_e_h_1, c_a, s9, s10) | node13(c_e_h_1, c_a, s9, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17610, 1020, 6039])).
% 79.22/51.50 tff(17612,plain,
% 79.22/51.50 (node12(c_e_h_1, c_a, s9, s10)),
% 79.22/51.50 inference(unit_resolution,[status(thm)],[17611, 17607])).
% 79.22/51.50 tff(17613,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17614,plain,
% 79.22/51.50 (((~node12(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.22/51.50 inference(rewrite,[status(thm)],[])).
% 79.22/51.50 tff(17615,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10))))),
% 79.22/51.50 inference(monotonicity,[status(thm)],[17614])).
% 79.22/51.50 tff(17616,plain,
% 79.22/51.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.22/51.50 inference(transitivity,[status(thm)],[17615, 17613])).
% 79.22/51.50 tff(17617,plain,
% 79.22/51.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17618,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~node12(c_e_h_1, c_a, s9, s10))),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 79.22/51.51 tff(17619,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17618, 7301, 17612, 17600, 17541])).
% 79.22/51.51 tff(17620,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17621,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17620, 17599, 17541])).
% 79.22/51.51 tff(17622,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16170, 17621, 17564, 17558])).
% 79.22/51.51 tff(17623,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17624,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17623, 17541])).
% 79.22/51.51 tff(17625,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15511, 17624])).
% 79.22/51.51 tff(17626,plain,
% 79.22/51.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15670, 17625])).
% 79.22/51.51 tff(17627,plain,
% 79.22/51.51 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16137, 15956])).
% 79.22/51.51 tff(17628,plain,
% 79.22/51.51 (m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17590, 17627])).
% 79.22/51.51 tff(17629,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17598, 17628])).
% 79.22/51.51 tff(17630,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16145, 17627])).
% 79.22/51.51 tff(17631,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15417, 15956])).
% 79.22/51.51 tff(17632,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15378, 15346])).
% 79.22/51.51 tff(17633,plain,
% 79.22/51.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15371, 17632, 15318])).
% 79.22/51.51 tff(17634,plain,
% 79.22/51.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15409, 17633, 17631])).
% 79.22/51.51 tff(17635,plain,
% 79.22/51.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16170, 17634, 17630])).
% 79.22/51.51 tff(17636,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17620, 17635, 17629, 17541])).
% 79.22/51.51 tff(17637,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17638,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17637, 17541])).
% 79.22/51.51 tff(17639,plain,
% 79.22/51.51 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17620, 16213, 17541])).
% 79.22/51.51 tff(17640,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17598, 17639])).
% 79.22/51.51 tff(17641,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17590, 17640])).
% 79.22/51.51 tff(17642,plain,
% 79.22/51.51 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_user_v_req(c_e_h_1, c_u, s8))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_user_v_req(c_e_h_1, c_u, s8))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17643,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_user_v_req(c_e_h_1, c_u, s8))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17644,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17643, 17642])).
% 79.22/51.51 tff(17645,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17644, 2765, 16154, 16105])).
% 79.22/51.51 tff(17646,plain,((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)) | m_user_v_req(c_e_h_1, c_u, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17647,plain,
% 79.22/51.51 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17646, 17641])).
% 79.22/51.51 tff(17648,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17649,plain,
% 79.22/51.51 (((~node12(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17650,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9))))),
% 79.22/51.51 inference(monotonicity,[status(thm)],[17649])).
% 79.22/51.51 tff(17651,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9)))),
% 79.22/51.51 inference(transitivity,[status(thm)],[17650, 17648])).
% 79.22/51.51 tff(17652,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17653,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8) | (~node12(c_e_h_1, c_a, s8, s9))),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 79.22/51.51 tff(17654,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17653, 1082, 16213, 16155, 16139])).
% 79.22/51.51 tff(17655,plain,((~node12(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17656,plain,
% 79.22/51.51 (~node12(c_e_h_1, c_a, s8, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17655, 16213, 16139])).
% 79.22/51.51 tff(17657,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | (~node13(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | (~node13(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17658,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | (~node13(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17659,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | (~node13(c_e_h_1, c_a, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17658, 17657])).
% 79.22/51.51 tff(17660,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17659, 1004, 16213, 16147, 15280])).
% 79.22/51.51 tff(17661,plain,((~node13(c_e_h_1, c_a, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17662,plain,
% 79.22/51.51 (~node13(c_e_h_1, c_a, s8, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17661, 16213, 15280])).
% 79.22/51.51 tff(17663,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16168, 17662, 17656])).
% 79.22/51.51 tff(17664,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17665,plain,
% 79.22/51.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17664, 17647, 16213])).
% 79.22/51.51 tff(17666,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16199, 17665, 15347])).
% 79.22/51.51 tff(17667,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16137, 17641])).
% 79.22/51.51 tff(17668,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16206, 2765, 17667, 17666])).
% 79.22/51.51 tff(17669,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17670,plain,
% 79.22/51.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17669, 17541, 16213])).
% 79.22/51.51 tff(17671,plain,
% 79.22/51.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16094, 17670, 17638])).
% 79.22/51.51 tff(17672,plain,
% 79.22/51.51 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16100, 17671])).
% 79.22/51.51 tff(17673,plain,
% 79.22/51.51 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17620, 17541, 16213])).
% 79.22/51.51 tff(17674,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17598, 17673])).
% 79.22/51.51 tff(17675,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17590, 17674])).
% 79.22/51.51 tff(17676,plain,
% 79.22/51.51 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16137, 17675])).
% 79.22/51.51 tff(17677,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15278, 17676, 17672])).
% 79.22/51.51 tff(17678,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17679,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17678, 17541])).
% 79.22/51.51 tff(17680,plain,
% 79.22/51.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[16181, 17679])).
% 79.22/51.51 tff(17681,plain,
% 79.22/51.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15793, 12656, 15771])).
% 79.22/51.51 tff(17682,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s5)), introduced(assumption)).
% 79.22/51.51 tff(17683,plain,
% 79.22/51.51 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17684,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17685,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 79.22/51.51 tff(17686,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17685, 4240, 12656, 17682])).
% 79.22/51.51 tff(17687,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17688,plain,
% 79.22/51.51 (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17687, 12656])).
% 79.22/51.51 tff(17689,plain,
% 79.22/51.51 (~node18(c_e_h_1, c_e, s5, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5826, 5817, 5816])).
% 79.22/51.51 tff(17690,plain,
% 79.22/51.51 (node17(c_e_h_1, c_e, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5838, 17689])).
% 79.22/51.51 tff(17691,assumption,(~node14(c_e_h_1, c_e, s5, s6)), introduced(assumption)).
% 79.22/51.51 tff(17692,plain,
% 79.22/51.51 (~node15(c_e_h_1, c_e, s5, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5854, 5817, 5816])).
% 79.22/51.51 tff(17693,plain,
% 79.22/51.51 (node16(c_e_h_1, c_e, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5892, 17692, 17691])).
% 79.22/51.51 tff(17694,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5884, 17693, 17690])).
% 79.22/51.51 tff(17695,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s5) | node14(c_e_h_1, c_e, s5, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s6))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17696,plain,
% 79.22/51.51 (node14(c_e_h_1, c_e, s5, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17695, 5816, 5817])).
% 79.22/51.51 tff(17697,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[5902, 17696, 5816, 5858])).
% 79.22/51.51 tff(17698,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17699,plain,
% 79.22/51.51 ((~m_c_h_element_v_out(c_e_h_1, c_e, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17698, 5815])).
% 79.22/51.51 tff(17700,plain,
% 79.22/51.51 (~m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17699, 17688])).
% 79.22/51.51 tff(17701,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[7515, 7584, 7503, 7506])).
% 79.22/51.51 tff(17702,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17703,plain,
% 79.22/51.51 (m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17702, 17700, 7503])).
% 79.22/51.51 tff(17704,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s6)), introduced(assumption)).
% 79.22/51.51 tff(17705,plain,
% 79.22/51.51 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17706,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17707,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 79.22/51.51 tff(17708,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17707, 4240, 17704, 15796])).
% 79.22/51.51 tff(17709,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17710,plain,
% 79.22/51.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17709, 17703])).
% 79.22/51.51 tff(17711,plain,
% 79.22/51.51 (~node21(c_e_h_1, c_c, s5, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15786, 17710, 15780])).
% 79.22/51.51 tff(17712,plain,
% 79.22/51.51 (~node22(c_e_h_1, c_c, s5, s6)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15778, 17710, 12656])).
% 79.22/51.51 tff(17713,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[15791, 17712, 17711])).
% 79.22/51.51 tff(17714,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | node20(c_e_h_1, c_c, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17715,plain,
% 79.22/51.51 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17714, 12656, 15771])).
% 79.22/51.51 tff(17716,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.22/51.51 tff(17717,plain,
% 79.22/51.51 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17718,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17719,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 79.22/51.51 tff(17720,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17719, 2644, 15347, 17716])).
% 79.22/51.51 tff(17721,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17722,plain,
% 79.22/51.51 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17721, 15347])).
% 79.22/51.51 tff(17723,plain,
% 79.22/51.51 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17724,plain,
% 79.22/51.51 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17725,plain,
% 79.22/51.51 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 79.22/51.51 tff(17726,plain,
% 79.22/51.51 (~node20(c_e_h_1, c_c, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17725, 22, 17722])).
% 79.22/51.51 tff(17727,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.22/51.51 tff(17728,plain,
% 79.22/51.51 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17729,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17730,plain,
% 79.22/51.51 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17729, 17728])).
% 79.22/51.51 tff(17731,plain,
% 79.22/51.51 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17730, 4240, 17727])).
% 79.22/51.51 tff(17732,assumption,(~node20(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.22/51.51 tff(17733,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.51 tff(17734,assumption,(node22(c_e_h_1, c_c, s7, s8)), introduced(assumption)).
% 79.22/51.51 tff(17735,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17736,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.22/51.51 inference(quant_inst,[status(thm)],[])).
% 79.22/51.51 tff(17737,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.22/51.51 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 79.22/51.51 tff(17738,plain,
% 79.22/51.51 ($false),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17737, 437, 17727, 17734, 17733])).
% 79.22/51.51 tff(17739,plain,((~node22(c_e_h_1, c_c, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.51 tff(17740,plain,
% 79.22/51.51 (~node22(c_e_h_1, c_c, s7, s8)),
% 79.22/51.51 inference(unit_resolution,[status(thm)],[17739, 17733, 17727])).
% 79.22/51.51 tff(17741,assumption,(node21(c_e_h_1, c_c, s7, s8)), introduced(assumption)).
% 79.22/51.51 tff(17742,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17743,plain,
% 79.22/51.51 ((node20(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s7, s8))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.22/51.51 inference(rewrite,[status(thm)],[])).
% 79.22/51.51 tff(17744,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8))))),
% 79.22/51.51 inference(monotonicity,[status(thm)],[17743])).
% 79.22/51.51 tff(17745,plain,
% 79.22/51.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.22/51.51 inference(transitivity,[status(thm)],[17744, 17742])).
% 79.22/51.51 tff(17746,plain,
% 79.22/51.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17747,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s7, s8))),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17746, 17745])).
% 79.22/51.52 tff(17748,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17747, 348, 17741, 17732, 17733])).
% 79.22/51.52 tff(17749,plain,((~node21(c_e_h_1, c_c, s7, s8)) | node20(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17750,plain,
% 79.22/51.52 (~node21(c_e_h_1, c_c, s7, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17749, 17733, 17732])).
% 79.22/51.52 tff(17751,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_c, s7, s8) | node22(c_e_h_1, c_c, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_c, s7, s8) | node22(c_e_h_1, c_c, s7, s8))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17752,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_c, s7, s8) | node22(c_e_h_1, c_c, s7, s8))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17753,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_c, s7, s8) | node22(c_e_h_1, c_c, s7, s8)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 79.22/51.52 tff(17754,plain,
% 79.22/51.52 (node21(c_e_h_1, c_c, s7, s8) | node22(c_e_h_1, c_c, s7, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17753, 383, 2456])).
% 79.22/51.52 tff(17755,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17754, 17750, 17740])).
% 79.22/51.52 tff(17756,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | node20(c_e_h_1, c_c, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17757,plain,
% 79.22/51.52 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17756, 17727, 17732])).
% 79.22/51.52 tff(17758,plain,
% 79.22/51.52 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17759,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17760,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 79.22/51.52 tff(17761,plain,
% 79.22/51.52 (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17760, 4240, 17757])).
% 79.22/51.52 tff(17762,plain,
% 79.22/51.52 (m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7838, 17761, 7753])).
% 79.22/51.52 tff(17763,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7695, 17762, 17731, 7634])).
% 79.22/51.52 tff(17764,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s7) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | node20(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17765,plain,
% 79.22/51.52 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17764, 17726, 7753, 7634])).
% 79.22/51.52 tff(17766,plain,
% 79.22/51.52 (node20(c_e_h_1, c_c, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[16007, 17765, 15796])).
% 79.22/51.52 tff(17767,plain,
% 79.22/51.52 (m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15973, 22, 17766])).
% 79.22/51.52 tff(17768,plain,
% 79.22/51.52 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15967, 17767])).
% 79.22/51.52 tff(17769,plain,
% 79.22/51.52 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15336, 17768, 15321])).
% 79.22/51.52 tff(17770,plain,
% 79.22/51.52 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15371, 17768, 15347])).
% 79.22/51.52 tff(17771,plain,
% 79.22/51.52 (~m_user_v_req(c_e_h_1, c_u, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15376, 7318, 17770])).
% 79.22/51.52 tff(17772,plain,
% 79.22/51.52 (~m_user_v_req(c_e_h_1, c_u, s5)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15339, 17771])).
% 79.22/51.52 tff(17773,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15343, 2765, 17772, 17769])).
% 79.22/51.52 tff(17774,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17775,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17774, 17715, 17681, 15321, 15347, 7753])).
% 79.22/51.52 tff(17776,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17777,plain,
% 79.22/51.52 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17776, 17680, 17626, 17624])).
% 79.22/51.52 tff(17778,plain,
% 79.22/51.52 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[16210, 17679])).
% 79.22/51.52 tff(17779,plain,
% 79.22/51.52 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15967, 17638])).
% 79.22/51.52 tff(17780,plain,
% 79.22/51.52 (~node20(c_e_h_1, c_c, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15975, 17779])).
% 79.22/51.52 tff(17781,plain,
% 79.22/51.52 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15762, 17624])).
% 79.22/51.52 tff(17782,plain,
% 79.22/51.52 (~node20(c_e_h_1, c_c, s5)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15770, 17781])).
% 79.22/51.52 tff(17783,plain,
% 79.22/51.52 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15793, 17782, 17626])).
% 79.22/51.52 tff(17784,plain,
% 79.22/51.52 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[16007, 17783, 17780])).
% 79.22/51.52 tff(17785,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17786,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.52 tff(17787,plain,
% 79.22/51.52 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17788,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17789,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 79.22/51.52 tff(17790,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17789, 2644, 15280, 17786])).
% 79.22/51.52 tff(17791,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17792,plain,
% 79.22/51.52 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17791, 15280])).
% 79.22/51.52 tff(17793,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.52 tff(17794,assumption,(node20(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.52 tff(17795,plain,
% 79.22/51.52 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17796,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17797,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 79.22/51.52 tff(17798,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17797, 22, 17794, 17793])).
% 79.22/51.52 tff(17799,plain,((~node20(c_e_h_1, c_c, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17800,plain,
% 79.22/51.52 (~node20(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17799, 17792])).
% 79.22/51.52 tff(17801,assumption,(~node20(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.52 tff(17802,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.22/51.52 tff(17803,assumption,(node22(c_e_h_1, c_c, s8, s9)), introduced(assumption)).
% 79.22/51.52 tff(17804,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node22(c_e_h_1, c_c, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node22(c_e_h_1, c_c, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17805,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node22(c_e_h_1, c_c, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17806,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node22(c_e_h_1, c_c, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 79.22/51.52 tff(17807,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17806, 437, 17785, 17803, 17802])).
% 79.22/51.52 tff(17808,plain,((~node22(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17809,plain,
% 79.22/51.52 (~node22(c_e_h_1, c_c, s8, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17808, 17785, 17802])).
% 79.22/51.52 tff(17810,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_c, s8, s9) | node22(c_e_h_1, c_c, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_c, s8, s9) | node22(c_e_h_1, c_c, s8, s9))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17811,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_c, s8, s9) | node22(c_e_h_1, c_c, s8, s9))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17812,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_c, s8, s9) | node22(c_e_h_1, c_c, s8, s9)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 79.22/51.52 tff(17813,plain,
% 79.22/51.52 (node21(c_e_h_1, c_c, s8, s9) | node22(c_e_h_1, c_c, s8, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17812, 383, 3713])).
% 79.22/51.52 tff(17814,plain,
% 79.22/51.52 (node21(c_e_h_1, c_c, s8, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17813, 17809])).
% 79.22/51.52 tff(17815,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17816,plain,
% 79.22/51.52 ((node20(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node21(c_e_h_1, c_c, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17817,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node21(c_e_h_1, c_c, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9))))),
% 79.22/51.52 inference(monotonicity,[status(thm)],[17816])).
% 79.22/51.52 tff(17818,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node21(c_e_h_1, c_c, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.22/51.52 inference(transitivity,[status(thm)],[17817, 17815])).
% 79.22/51.52 tff(17819,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17820,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s8, s9))),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 79.22/51.52 tff(17821,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17820, 348, 17785, 17814, 17801])).
% 79.22/51.52 tff(17822,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | node20(c_e_h_1, c_c, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17823,plain,
% 79.22/51.52 (m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17822, 17800, 17785])).
% 79.22/51.52 tff(17824,plain,
% 79.22/51.52 (node20(c_e_h_1, c_c, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17756, 17823, 17727])).
% 79.22/51.52 tff(17825,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.22/51.52 tff(17826,assumption,(node20(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.22/51.52 tff(17827,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17725, 22, 17826, 17825])).
% 79.22/51.52 tff(17828,plain,((~node20(c_e_h_1, c_c, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17829,plain,
% 79.22/51.52 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17828, 17824])).
% 79.22/51.52 tff(17830,plain,
% 79.22/51.52 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17721, 17829])).
% 79.22/51.52 tff(17831,plain,
% 79.22/51.52 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15409, 17830, 15280])).
% 79.22/51.52 tff(17832,plain,
% 79.22/51.52 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15417, 17831])).
% 79.22/51.52 tff(17833,plain,
% 79.22/51.52 (~m_user_v_req(c_e_h_1, c_u, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15278, 17832])).
% 79.22/51.52 tff(17834,plain,
% 79.22/51.52 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[16100, 17833])).
% 79.22/51.52 tff(17835,plain,
% 79.22/51.52 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[15345, 17833])).
% 79.22/51.52 tff(17836,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[16094, 17835, 17834, 17830])).
% 79.22/51.52 tff(17837,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17838,plain,
% 79.22/51.52 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17837, 17784, 17778])).
% 79.22/51.52 tff(17839,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17840,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s9)), introduced(assumption)).
% 79.22/51.52 tff(17841,plain,
% 79.22/51.52 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17842,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17843,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 79.22/51.52 tff(17844,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17843, 4240, 17840, 17839])).
% 79.22/51.52 tff(17845,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17846,plain,
% 79.22/51.52 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17845, 17838])).
% 79.22/51.52 tff(17847,plain,
% 79.22/51.52 (~node15(c_e_h_1, c_e, s9, s10)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7898, 7891, 7892])).
% 79.22/51.52 tff(17848,plain,
% 79.22/51.52 (~node18(c_e_h_1, c_e, s9, s10)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7931, 7891, 7892])).
% 79.22/51.52 tff(17849,plain,
% 79.22/51.52 (node17(c_e_h_1, c_e, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7939, 17848])).
% 79.22/51.52 tff(17850,assumption,(node17(c_e_h_1, c_e, s9)), introduced(assumption)).
% 79.22/51.52 tff(17851,plain,
% 79.22/51.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17852,plain,
% 79.22/51.52 ((m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9))) <=> ((~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17853,plain,
% 79.22/51.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))))),
% 79.22/51.52 inference(monotonicity,[status(thm)],[17852])).
% 79.22/51.52 tff(17854,plain,
% 79.22/51.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.22/51.52 inference(transitivity,[status(thm)],[17853, 17851])).
% 79.22/51.52 tff(17855,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)) | (~node17(c_e_h_1, c_e, s9)))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17856,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 79.22/51.52 tff(17857,plain,
% 79.22/51.52 (m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17856, 1172, 17850])).
% 79.22/51.52 tff(17858,plain,
% 79.22/51.52 (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17857, 7901])).
% 79.22/51.52 tff(17859,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[7924, 17858, 7901, 7892, 7902])).
% 79.22/51.52 tff(17860,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | node15(c_e_h_1, c_e, s9, s10) | (~node17(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17861,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17860, 17849, 17847, 7901, 7892])).
% 79.22/51.52 tff(17862,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s9) | m_c_h_element_v_in1(c_e_h_1, c_e, s9) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17863,plain,
% 79.22/51.52 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17862, 17846, 17777])).
% 79.22/51.52 tff(17864,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17865,plain,
% 79.22/51.52 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17866,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17867,plain,
% 79.22/51.52 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17866, 17865])).
% 79.22/51.52 tff(17868,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17867, 2644, 16079, 17864])).
% 79.22/51.52 tff(17869,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17870,plain,
% 79.22/51.52 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17869, 17679])).
% 79.22/51.52 tff(17871,assumption,(node20(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17872,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17873,plain,
% 79.22/51.52 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17874,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17875,plain,
% 79.22/51.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17874, 17873])).
% 79.22/51.52 tff(17876,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17875, 22, 17872, 17871])).
% 79.22/51.52 tff(17877,plain,((~node20(c_e_h_1, c_c, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17878,plain,
% 79.22/51.52 (~node20(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17877, 17870])).
% 79.22/51.52 tff(17879,assumption,(~node20(c_e_h_1, c_c, s9)), introduced(assumption)).
% 79.22/51.52 tff(17880,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.52 tff(17881,assumption,(node22(c_e_h_1, c_c, s9, s10)), introduced(assumption)).
% 79.22/51.52 tff(17882,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node22(c_e_h_1, c_c, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node22(c_e_h_1, c_c, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(rewrite,[status(thm)],[])).
% 79.22/51.52 tff(17883,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node22(c_e_h_1, c_c, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 79.22/51.52 inference(quant_inst,[status(thm)],[])).
% 79.22/51.52 tff(17884,plain,
% 79.22/51.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node22(c_e_h_1, c_c, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.22/51.52 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 79.22/51.52 tff(17885,plain,
% 79.22/51.52 ($false),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17884, 437, 17880, 17881, 17839])).
% 79.22/51.52 tff(17886,plain,((~node22(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.52 tff(17887,plain,
% 79.22/51.52 (~node22(c_e_h_1, c_c, s9, s10)),
% 79.22/51.52 inference(unit_resolution,[status(thm)],[17886, 17880, 17839])).
% 79.22/51.52 tff(17888,plain,
% 79.22/51.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_c, s9, s10) | node22(c_e_h_1, c_c, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_c, s9, s10) | node22(c_e_h_1, c_c, s9, s10))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17889,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_c, s9, s10) | node22(c_e_h_1, c_c, s9, s10))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17890,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_c, s9, s10) | node22(c_e_h_1, c_c, s9, s10)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 79.22/51.53 tff(17891,plain,
% 79.22/51.53 (node21(c_e_h_1, c_c, s9, s10) | node22(c_e_h_1, c_c, s9, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17890, 383, 6039])).
% 79.22/51.53 tff(17892,plain,
% 79.22/51.53 (node21(c_e_h_1, c_c, s9, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17891, 17887])).
% 79.22/51.53 tff(17893,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s9, s10)))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17894,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s9, s10)))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17895,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s9, s10))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17894, 17893])).
% 79.22/51.53 tff(17896,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17895, 348, 17880, 17892, 17879])).
% 79.22/51.53 tff(17897,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | node20(c_e_h_1, c_c, s9) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17898,plain,
% 79.22/51.53 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17897, 17838, 17878])).
% 79.22/51.53 tff(17899,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s10)), introduced(assumption)).
% 79.22/51.53 tff(17900,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.53 tff(17901,plain,
% 79.22/51.53 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17902,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17903,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 79.22/51.53 tff(17904,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17903, 4240, 17900, 17899])).
% 79.22/51.53 tff(17905,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17906,plain,
% 79.22/51.53 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17905, 17898])).
% 79.22/51.53 tff(17907,assumption,(~node20(c_e_h_1, c_c, s10)), introduced(assumption)).
% 79.22/51.53 tff(17908,plain,
% 79.22/51.53 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X)) <=> ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X)))),
% 79.22/51.53 inference(bind,[status(th)],[])).
% 79.22/51.53 tff(17909,plain,
% 79.22/51.53 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(quant_intro,[status(thm)],[17908])).
% 79.22/51.53 tff(17910,plain,
% 79.22/51.53 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17911,plain,
% 79.22/51.53 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in1(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_c, X))) <=> ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X)))),
% 79.22/51.53 inference(bind,[status(th)],[])).
% 79.22/51.53 tff(17912,plain,
% 79.22/51.53 (![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_c, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(quant_intro,[status(thm)],[17911])).
% 79.22/51.53 tff(17913,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_e, X) | (~m_and_h_gate_v_out(I0, c_c, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_19')).
% 79.22/51.53 tff(17914,plain,
% 79.22/51.53 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 79.22/51.53 tff(17915,plain,
% 79.22/51.53 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17914, 17910])).
% 79.22/51.53 tff(17916,plain,(
% 79.22/51.53 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(skolemize,[status(sab)],[17915])).
% 79.22/51.53 tff(17917,plain,
% 79.22/51.53 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17916, 17909])).
% 79.22/51.53 tff(17918,plain,
% 79.22/51.53 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17919,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17920,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 79.22/51.53 tff(17921,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17920, 17917, 8037, 17880])).
% 79.22/51.53 tff(17922,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17923,plain,
% 79.22/51.53 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17922, 8037])).
% 79.22/51.53 tff(17924,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.22/51.53 tff(17925,assumption,(node22(c_e_h_1, c_c, s10, s11)), introduced(assumption)).
% 79.22/51.53 tff(17926,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node22(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node22(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17927,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node22(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17928,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node22(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 79.22/51.53 tff(17929,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17928, 437, 17900, 17925, 17924])).
% 79.22/51.53 tff(17930,plain,((~node22(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17931,plain,
% 79.22/51.53 (~node22(c_e_h_1, c_c, s10, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17930, 17924, 17900])).
% 79.22/51.53 tff(17932,assumption,(node21(c_e_h_1, c_c, s10, s11)), introduced(assumption)).
% 79.22/51.53 tff(17933,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17934,plain,
% 79.22/51.53 ((node20(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node21(c_e_h_1, c_c, s10, s11))) <=> (node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17935,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node21(c_e_h_1, c_c, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11))))),
% 79.22/51.53 inference(monotonicity,[status(thm)],[17934])).
% 79.22/51.53 tff(17936,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node21(c_e_h_1, c_c, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 79.22/51.53 inference(transitivity,[status(thm)],[17935, 17933])).
% 79.22/51.53 tff(17937,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~node21(c_e_h_1, c_c, s10, s11)))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17938,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 79.22/51.53 tff(17939,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17938, 348, 17932, 17924, 17907])).
% 79.22/51.53 tff(17940,plain,((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | node20(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17941,plain,
% 79.22/51.53 (~node21(c_e_h_1, c_c, s10, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17940, 17924, 17907])).
% 79.22/51.53 tff(17942,plain,
% 79.22/51.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_c, s10, s11) | node22(c_e_h_1, c_c, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_c, s10, s11) | node22(c_e_h_1, c_c, s10, s11))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17943,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_c, s10, s11) | node22(c_e_h_1, c_c, s10, s11))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17944,plain,
% 79.22/51.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_c, s10, s11) | node22(c_e_h_1, c_c, s10, s11)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 79.22/51.53 tff(17945,plain,
% 79.22/51.53 (node21(c_e_h_1, c_c, s10, s11) | node22(c_e_h_1, c_c, s10, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17944, 383, 8015])).
% 79.22/51.53 tff(17946,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17945, 17941, 17931])).
% 79.22/51.53 tff(17947,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | node20(c_e_h_1, c_c, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17948,plain,
% 79.22/51.53 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17947, 17923, 17907])).
% 79.22/51.53 tff(17949,plain,
% 79.22/51.53 (m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8073, 8000, 8001])).
% 79.22/51.53 tff(17950,plain,
% 79.22/51.53 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s10)) | (~node17(c_e_h_1, c_e, s10))),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8045, 1172, 8037])).
% 79.22/51.53 tff(17951,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17950, 8027, 17949])).
% 79.22/51.53 tff(17952,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17953,plain,
% 79.22/51.53 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17952, 8037, 8001])).
% 79.22/51.53 tff(17954,plain,
% 79.22/51.53 (m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8258, 8192, 8081])).
% 79.22/51.53 tff(17955,plain,
% 79.22/51.53 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17956,plain,
% 79.22/51.53 ((m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node17(c_e_h_1, c_e, s11))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17957,plain,
% 79.22/51.53 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node17(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11))))),
% 79.22/51.53 inference(monotonicity,[status(thm)],[17956])).
% 79.22/51.53 tff(17958,plain,
% 79.22/51.53 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node17(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))),
% 79.22/51.53 inference(transitivity,[status(thm)],[17957, 17955])).
% 79.22/51.53 tff(17959,plain,
% 79.22/51.53 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node17(c_e_h_1, c_e, s11)))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17960,plain,
% 79.22/51.53 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11))),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 79.22/51.53 tff(17961,plain,
% 79.22/51.53 ((~node17(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11))),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17960, 1172, 8224])).
% 79.22/51.53 tff(17962,plain,
% 79.22/51.53 (~node17(c_e_h_1, c_e, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17961, 17954])).
% 79.22/51.53 tff(17963,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8221, 17962, 8203])).
% 79.22/51.53 tff(17964,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17965,plain,
% 79.22/51.53 (m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17964, 17953, 8192])).
% 79.22/51.53 tff(17966,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s11)), introduced(assumption)).
% 79.22/51.53 tff(17967,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.22/51.53 tff(17968,plain,
% 79.22/51.53 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 79.22/51.53 inference(rewrite,[status(thm)],[])).
% 79.22/51.53 tff(17969,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 79.22/51.53 inference(quant_inst,[status(thm)],[])).
% 79.22/51.53 tff(17970,plain,
% 79.22/51.53 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 79.22/51.53 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 79.22/51.53 tff(17971,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17970, 4240, 17967, 17966])).
% 79.22/51.53 tff(17972,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17973,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17972, 17965, 17948])).
% 79.22/51.53 tff(17974,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | node20(c_e_h_1, c_c, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17975,plain,
% 79.22/51.53 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17974, 17906, 17863, 17556])).
% 79.22/51.53 tff(17976,plain,
% 79.22/51.53 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17714, 17782, 17626])).
% 79.22/51.53 tff(17977,plain,
% 79.22/51.53 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16007, 17780, 15796])).
% 79.22/51.53 tff(17978,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s7)), introduced(assumption)).
% 79.22/51.53 tff(17979,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17730, 4240, 17978, 17727])).
% 79.22/51.53 tff(17980,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(17981,plain,
% 79.22/51.53 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17980, 17977])).
% 79.22/51.53 tff(17982,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16318, 8659, 16316])).
% 79.22/51.53 tff(17983,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8707, 3886, 17982])).
% 79.22/51.53 tff(17984,plain,
% 79.22/51.53 (~node9(c_e_h_1, c_m, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8711, 238, 17983])).
% 79.22/51.53 tff(17985,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[8737, 17984, 16322])).
% 79.22/51.53 tff(17986,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16308, 17985])).
% 79.22/51.53 tff(17987,plain,
% 79.22/51.53 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17774, 17624, 7634, 15796, 7753])).
% 79.22/51.53 tff(17988,plain,
% 79.22/51.53 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16094, 17987, 17638])).
% 79.22/51.53 tff(17989,plain,
% 79.22/51.53 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16100, 17988])).
% 79.22/51.53 tff(17990,plain,
% 79.22/51.53 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[15278, 17989])).
% 79.22/51.53 tff(17991,plain,
% 79.22/51.53 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[15417, 17990])).
% 79.22/51.53 tff(17992,plain,
% 79.22/51.53 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[15409, 17991, 17987])).
% 79.22/51.53 tff(17993,plain,
% 79.22/51.53 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16137, 17990])).
% 79.22/51.53 tff(17994,plain,
% 79.22/51.53 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16145, 17993])).
% 79.22/51.53 tff(17995,plain,
% 79.22/51.53 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16170, 17994, 17992])).
% 79.22/51.53 tff(17996,plain,
% 79.22/51.53 (m_user_v_req(c_e_h_1, c_u, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17590, 17993])).
% 79.22/51.53 tff(17997,plain,
% 79.22/51.53 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17598, 17996])).
% 79.22/51.53 tff(17998,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17620, 17997, 17995, 17541])).
% 79.22/51.53 tff(17999,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(18000,plain,
% 79.22/51.53 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17999, 17541, 15796, 7634])).
% 79.22/51.53 tff(18001,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16371, 18000])).
% 79.22/51.53 tff(18002,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16400, 18001, 16314, 17986])).
% 79.22/51.53 tff(18003,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16318, 8659, 8671])).
% 79.22/51.53 tff(18004,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16363, 18003, 16336, 16335])).
% 79.22/51.53 tff(18005,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16326, 18004])).
% 79.22/51.53 tff(18006,plain,
% 79.22/51.53 (node9(c_e_h_1, c_m, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[5977, 18005])).
% 79.22/51.53 tff(18007,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[5955, 238, 16320, 18006])).
% 79.22/51.53 tff(18008,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7))), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(18009,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[18008, 18002, 8659, 16316])).
% 79.22/51.53 tff(18010,plain,
% 79.22/51.53 (m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[16332, 18009])).
% 79.22/51.53 tff(18011,plain,
% 79.22/51.53 ($false),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[7695, 18010, 17981, 7634])).
% 79.22/51.53 tff(18012,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.22/51.53 tff(18013,plain,
% 79.22/51.53 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[18012, 5948])).
% 79.22/51.53 tff(18014,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[18013, 17976, 17541, 17783])).
% 79.22/51.53 tff(18015,plain,
% 79.22/51.53 (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17687, 17626])).
% 79.22/51.53 tff(18016,plain,
% 79.22/51.53 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[17980, 17784])).
% 79.22/51.53 tff(18017,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[5194, 5814])).
% 79.22/51.53 tff(18018,plain,
% 79.22/51.53 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s5)),
% 79.22/51.53 inference(unit_resolution,[status(thm)],[5495, 5817])).
% 79.22/51.53 tff(18019,plain,
% 79.22/51.53 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[8657, 18018, 5919, 5202, 5218])).
% 79.27/51.53 tff(18020,plain,
% 79.27/51.53 (m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5910, 18019])).
% 79.27/51.53 tff(18021,plain,
% 79.27/51.53 (node14(c_e_h_1, c_e, s5, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[17695, 18020, 5817])).
% 79.27/51.53 tff(18022,plain,
% 79.27/51.53 ($false),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5902, 18021, 18020, 5858])).
% 79.27/51.53 tff(18023,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s5) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4))), inference(lemma,lemma(discharge,[]))).
% 79.27/51.53 tff(18024,plain,
% 79.27/51.53 (m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[18023, 4919, 5815, 18017])).
% 79.27/51.53 tff(18025,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[18024, 5858])).
% 79.27/51.53 tff(18026,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[16318, 16316, 18025])).
% 79.27/51.53 tff(18027,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5951, 3886, 18025])).
% 79.27/51.53 tff(18028,plain,
% 79.27/51.53 (~node9(c_e_h_1, c_m, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5955, 238, 18027])).
% 79.27/51.53 tff(18029,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5977, 18028])).
% 79.27/51.53 tff(18030,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[16326, 18029])).
% 79.27/51.53 tff(18031,plain,
% 79.27/51.53 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[7695, 7634, 7646])).
% 79.27/51.53 tff(18032,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[16332, 18031])).
% 79.27/51.53 tff(18033,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[16363, 18032, 18030, 18026])).
% 79.27/51.53 tff(18034,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[18023, 5202, 5858, 5218, 5817])).
% 79.27/51.53 tff(18035,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5951, 3886, 18034])).
% 79.27/51.53 tff(18036,plain,
% 79.27/51.53 (~node9(c_e_h_1, c_m, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5955, 238, 18035])).
% 79.27/51.53 tff(18037,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s5)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[4951, 8647])).
% 79.27/51.53 tff(18038,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s5)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5459, 18037])).
% 79.27/51.53 tff(18039,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s5)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5227, 5202, 5218])).
% 79.27/51.53 tff(18040,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5490, 18039, 18018, 18038])).
% 79.27/51.53 tff(18041,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5594, 3886, 18040])).
% 79.27/51.53 tff(18042,plain,
% 79.27/51.53 (~node9(c_e_h_1, c_m, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5598, 238, 18041])).
% 79.27/51.53 tff(18043,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s5)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5233, 3886, 18039])).
% 79.27/51.53 tff(18044,plain,
% 79.27/51.53 (~node9(c_e_h_1, c_m, s5)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5237, 238, 18043])).
% 79.27/51.53 tff(18045,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5258, 18044, 18037])).
% 79.27/51.53 tff(18046,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5622, 18045, 18042])).
% 79.27/51.53 tff(18047,plain,
% 79.27/51.53 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[5976, 18046, 18036])).
% 79.27/51.53 tff(18048,plain,
% 79.27/51.53 (node9(c_e_h_1, c_m, s8)),
% 79.27/51.53 inference(unit_resolution,[status(thm)],[8737, 18047, 8624])).
% 79.27/51.53 tff(18049,plain,
% 79.27/51.53 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8692, 18046])).
% 79.27/51.54 tff(18050,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8687, 18049, 8671, 18034])).
% 79.27/51.54 tff(18051,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8707, 3886, 18050])).
% 79.27/51.54 tff(18052,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8711, 238, 18051, 18048])).
% 79.27/51.54 tff(18053,plain,((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s4)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_c_h_element_v_out(c_e_h_1, c_e, s5)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18054,plain,
% 79.27/51.54 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18053, 4919, 18017, 5815])).
% 79.27/51.54 tff(18055,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18054, 16316, 5858])).
% 79.27/51.54 tff(18056,plain,
% 79.27/51.54 (node9(c_e_h_1, c_m, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16455, 18055, 16435])).
% 79.27/51.54 tff(18057,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16432, 18056])).
% 79.27/51.54 tff(18058,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16424, 18057, 18033])).
% 79.27/51.54 tff(18059,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s7) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_c_h_element_v_in1(c_e_h_1, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18060,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18059, 18016, 18015, 17976])).
% 79.27/51.54 tff(18061,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17503, 18014])).
% 79.27/51.54 tff(18062,plain,
% 79.27/51.54 (~node9(c_e_h_1, c_m, s10)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17511, 18061])).
% 79.27/51.54 tff(18063,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17537, 18062, 18060])).
% 79.27/51.54 tff(18064,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15793, 12656, 15780])).
% 79.27/51.54 tff(18065,plain,
% 79.27/51.54 (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17709, 18064])).
% 79.27/51.54 tff(18066,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5910, 7502])).
% 79.27/51.54 tff(18067,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5947, 18066])).
% 79.27/51.54 tff(18068,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17702, 7506, 7502])).
% 79.27/51.54 tff(18069,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8639, 18068])).
% 79.27/51.54 tff(18070,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18008, 18069, 16336, 18067])).
% 79.27/51.54 tff(18071,plain,
% 79.27/51.54 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18072,plain,
% 79.27/51.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6))),
% 79.27/51.54 inference(quant_inst,[status(thm)],[])).
% 79.27/51.54 tff(18073,plain,
% 79.27/51.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 79.27/51.54 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 79.27/51.54 tff(18074,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18073, 17917, 7506, 15772])).
% 79.27/51.54 tff(18075,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18076,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18075, 7506])).
% 79.27/51.54 tff(18077,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16007, 18076, 15983])).
% 79.27/51.54 tff(18078,plain,
% 79.27/51.54 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17980, 18077])).
% 79.27/51.54 tff(18079,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[7695, 18078, 18068])).
% 79.27/51.54 tff(18080,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16332, 18079, 18070])).
% 79.27/51.54 tff(18081,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | node20(c_e_h_1, c_c, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18082,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18081, 18065, 17700, 16336, 15983])).
% 79.27/51.54 tff(18083,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18084,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18083, 17782, 17626, 17780])).
% 79.27/51.54 tff(18085,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16463, 18060])).
% 79.27/51.54 tff(18086,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15473, 17625])).
% 79.27/51.54 tff(18087,plain,
% 79.27/51.54 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15592, 18086])).
% 79.27/51.54 tff(18088,plain,
% 79.27/51.54 (~m_user_v_req(c_e_h_1, c_u, s2)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15433, 15041])).
% 79.27/51.54 tff(18089,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15427, 18088])).
% 79.27/51.54 tff(18090,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15560, 18089])).
% 79.27/51.54 tff(18091,plain,
% 79.27/51.54 (~node20(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15568, 18090])).
% 79.27/51.54 tff(18092,plain,
% 79.27/51.54 (m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18024, 5919])).
% 79.27/51.54 tff(18093,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17687, 18092])).
% 79.27/51.54 tff(18094,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15663, 18093, 15647])).
% 79.27/51.54 tff(18095,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15586, 18094, 15577])).
% 79.27/51.54 tff(18096,plain,
% 79.27/51.54 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18097,plain,
% 79.27/51.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3))),
% 79.27/51.54 inference(quant_inst,[status(thm)],[])).
% 79.27/51.54 tff(18098,plain,
% 79.27/51.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 79.27/51.54 tff(18099,plain,
% 79.27/51.54 (m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18098, 6731, 18095])).
% 79.27/51.54 tff(18100,plain,
% 79.27/51.54 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | (~node4(c_e_h_1, c_g, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | (~node4(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18101,plain,
% 79.27/51.54 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | (~node4(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(quant_inst,[status(thm)],[])).
% 79.27/51.54 tff(18102,plain,
% 79.27/51.54 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)) | (~node4(c_e_h_1, c_g, s3))),
% 79.27/51.54 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 79.27/51.54 tff(18103,plain,
% 79.27/51.54 (~node4(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18102, 6717, 18099])).
% 79.27/51.54 tff(18104,plain,
% 79.27/51.54 (m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6734, 6731, 18094])).
% 79.27/51.54 tff(18105,plain,
% 79.27/51.54 (~node4(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6720, 6717, 18104])).
% 79.27/51.54 tff(18106,plain,
% 79.27/51.54 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6709, 18105, 6658])).
% 79.27/51.54 tff(18107,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18108,plain,
% 79.27/51.54 ((m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))) <=> ((~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18109,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))))),
% 79.27/51.54 inference(monotonicity,[status(thm)],[18108])).
% 79.27/51.54 tff(18110,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(transitivity,[status(thm)],[18109, 18107])).
% 79.27/51.54 tff(18111,plain,
% 79.27/51.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)))),
% 79.27/51.54 inference(quant_inst,[status(thm)],[])).
% 79.27/51.54 tff(18112,plain,
% 79.27/51.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~node6(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))),
% 79.27/51.54 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 79.27/51.54 tff(18113,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18112, 6691, 6737, 2884, 7448])).
% 79.27/51.54 tff(18114,plain,((~node6(c_e_h_1, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18115,plain,
% 79.27/51.54 (~node6(c_e_h_1, c_g, s3, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18114, 7448, 2884])).
% 79.27/51.54 tff(18116,assumption,(~node4(c_e_h_1, c_g, s3)), introduced(assumption)).
% 79.27/51.54 tff(18117,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18118,plain,
% 79.27/51.54 ((node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 79.27/51.54 inference(rewrite,[status(thm)],[])).
% 79.27/51.54 tff(18119,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4))))),
% 79.27/51.54 inference(monotonicity,[status(thm)],[18118])).
% 79.27/51.54 tff(18120,plain,
% 79.27/51.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)))),
% 79.27/51.54 inference(transitivity,[status(thm)],[18119, 18117])).
% 79.27/51.54 tff(18121,plain,
% 79.27/51.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 79.27/51.54 inference(quant_inst,[status(thm)],[])).
% 79.27/51.54 tff(18122,plain,
% 79.27/51.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~node5(c_e_h_1, c_g, s3, s4))),
% 79.27/51.54 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 79.27/51.54 tff(18123,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18122, 6671, 6864, 7448, 18116])).
% 79.27/51.54 tff(18124,plain,((~node5(c_e_h_1, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18125,plain,
% 79.27/51.54 (~node5(c_e_h_1, c_g, s3, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18124, 7448, 18116])).
% 79.27/51.54 tff(18126,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6881, 18125, 18115])).
% 79.27/51.54 tff(18127,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s4) | node4(c_e_h_1, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s3))), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18128,plain,
% 79.27/51.54 (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18127, 18106, 18103])).
% 79.27/51.54 tff(18129,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5947, 5919])).
% 79.27/51.54 tff(18130,plain,
% 79.27/51.54 (m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5910, 18129])).
% 79.27/51.54 tff(18131,plain,
% 79.27/51.54 (m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5905, 18130])).
% 79.27/51.54 tff(18132,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5808, 18131])).
% 79.27/51.54 tff(18133,plain,
% 79.27/51.54 (node20(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5800, 18132])).
% 79.27/51.54 tff(18134,plain,
% 79.27/51.54 (m_and_h_gate_v_in1(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5770, 22, 18133])).
% 79.27/51.54 tff(18135,plain,
% 79.27/51.54 (m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5766, 8, 18134])).
% 79.27/51.54 tff(18136,plain,
% 79.27/51.54 (m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5762, 18135])).
% 79.27/51.54 tff(18137,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5698, 4673, 18136, 18128])).
% 79.27/51.54 tff(18138,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s3) | node20(c_e_h_1, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18139,plain,
% 79.27/51.54 (node20(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18138, 18091, 6658, 5919])).
% 79.27/51.54 tff(18140,plain,
% 79.27/51.54 (m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15638, 18139])).
% 79.27/51.54 tff(18141,plain,
% 79.27/51.54 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15630, 18140])).
% 79.27/51.54 tff(18142,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15508, 18141, 18089])).
% 79.27/51.54 tff(18143,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15077, 2765, 18142, 15041])).
% 79.27/51.54 tff(18144,plain,(m_user_v_req(c_e_h_1, c_u, s3) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18145,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18144, 5919, 6658])).
% 79.27/51.54 tff(18146,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15034, 18145])).
% 79.27/51.54 tff(18147,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15307, 18146])).
% 79.27/51.54 tff(18148,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15314, 18147])).
% 79.27/51.54 tff(18149,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15249, 18146])).
% 79.27/51.54 tff(18150,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15378, 18149])).
% 79.27/51.54 tff(18151,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15449, 18145])).
% 79.27/51.54 tff(18152,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15417, 18151])).
% 79.27/51.54 tff(18153,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16137, 18151])).
% 79.27/51.54 tff(18154,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16145, 18153])).
% 79.27/51.54 tff(18155,plain,
% 79.27/51.54 (m_user_v_req(c_e_h_1, c_u, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17590, 18153])).
% 79.27/51.54 tff(18156,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17598, 18155])).
% 79.27/51.54 tff(18157,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17620, 18156, 17541])).
% 79.27/51.54 tff(18158,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16170, 18157, 18154])).
% 79.27/51.54 tff(18159,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15409, 18158, 18152])).
% 79.27/51.54 tff(18160,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15371, 18159, 18150])).
% 79.27/51.54 tff(18161,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15305, 18160, 18148])).
% 79.27/51.54 tff(18162,plain,
% 79.27/51.54 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15500, 18146])).
% 79.27/51.54 tff(18163,plain,
% 79.27/51.54 (~node12(c_e_h_1, c_a, s4, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15494, 18162, 18161])).
% 79.27/51.54 tff(18164,plain,
% 79.27/51.54 (node13(c_e_h_1, c_a, s4, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15120, 18163])).
% 79.27/51.54 tff(18165,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15483, 18164, 18161])).
% 79.27/51.54 tff(18166,plain,
% 79.27/51.54 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15473, 18165])).
% 79.27/51.54 tff(18167,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15560, 18166])).
% 79.27/51.54 tff(18168,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15630, 18165])).
% 79.27/51.54 tff(18169,plain,
% 79.27/51.54 (~node20(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15638, 18168])).
% 79.27/51.54 tff(18170,plain,
% 79.27/51.54 (node20(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18138, 18169, 6658, 5919])).
% 79.27/51.54 tff(18171,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15568, 18170, 18167])).
% 79.27/51.54 tff(18172,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18173,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18172, 17541, 6658])).
% 79.27/51.54 tff(18174,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5951, 3886, 18173])).
% 79.27/51.54 tff(18175,plain,
% 79.27/51.54 (~node9(c_e_h_1, c_m, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5955, 238, 18174])).
% 79.27/51.54 tff(18176,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5977, 18175])).
% 79.27/51.54 tff(18177,plain,
% 79.27/51.54 (node9(c_e_h_1, c_m, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8737, 18176, 8624])).
% 79.27/51.54 tff(18178,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8711, 238, 18177])).
% 79.27/51.54 tff(18179,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8707, 3886, 18178])).
% 79.27/51.54 tff(18180,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16318, 18179, 18173])).
% 79.27/51.54 tff(18181,plain,
% 79.27/51.54 (m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8639, 18180])).
% 79.27/51.54 tff(18182,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17714, 17782, 18181])).
% 79.27/51.54 tff(18183,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15630, 17625])).
% 79.27/51.54 tff(18184,plain,
% 79.27/51.54 (~node20(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15638, 18183])).
% 79.27/51.54 tff(18185,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15663, 18184, 18182])).
% 79.27/51.54 tff(18186,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15560, 18086])).
% 79.27/51.54 tff(18187,plain,
% 79.27/51.54 (~node20(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15568, 18186])).
% 79.27/51.54 tff(18188,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15586, 15570, 15577])).
% 79.27/51.54 tff(18189,plain,
% 79.27/51.54 (m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18098, 6731, 18188])).
% 79.27/51.54 tff(18190,plain,
% 79.27/51.54 (~node4(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18102, 6717, 18189])).
% 79.27/51.54 tff(18191,plain,
% 79.27/51.54 (m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6734, 6731, 15570])).
% 79.27/51.54 tff(18192,plain,
% 79.27/51.54 (~node4(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6720, 6717, 18191])).
% 79.27/51.54 tff(18193,plain,
% 79.27/51.54 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6709, 18192, 6658])).
% 79.27/51.54 tff(18194,plain,
% 79.27/51.54 (~m_or_h_gate_v_out(c_e_h_1, c_g, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18127, 7448, 18116])).
% 79.27/51.54 tff(18195,plain,
% 79.27/51.54 (~m_c_h_element_v_in1(c_e_h_1, c_h, s3)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5698, 4673, 18194])).
% 79.27/51.54 tff(18196,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_h, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5762, 18195])).
% 79.27/51.54 tff(18197,plain,
% 79.27/51.54 (~node18(c_e_h_1, c_h, s4, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6092, 18196, 6078])).
% 79.27/51.54 tff(18198,plain,
% 79.27/51.54 (node17(c_e_h_1, c_h, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6104, 18197])).
% 79.27/51.54 tff(18199,plain,
% 79.27/51.54 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[7453, 7448])).
% 79.27/51.54 tff(18200,plain,
% 79.27/51.54 (~node14(c_e_h_1, c_h, s4, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6168, 18199, 6078])).
% 79.27/51.54 tff(18201,plain,
% 79.27/51.54 (~node15(c_e_h_1, c_h, s4, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6120, 18196, 6078])).
% 79.27/51.54 tff(18202,plain,
% 79.27/51.54 (node16(c_e_h_1, c_h, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6158, 18201, 18200])).
% 79.27/51.54 tff(18203,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6150, 18202, 18198])).
% 79.27/51.54 tff(18204,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s5)) | node4(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18205,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18204, 7448, 18116])).
% 79.27/51.54 tff(18206,plain,
% 79.27/51.54 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6616, 8, 18205])).
% 79.27/51.54 tff(18207,plain,
% 79.27/51.54 (~node20(c_e_h_1, c_i, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[6592, 22, 18206])).
% 79.27/51.54 tff(18208,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[7491, 18207, 7470])).
% 79.27/51.54 tff(18209,plain,
% 79.27/51.54 (node20(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5800, 18208])).
% 79.27/51.54 tff(18210,plain,
% 79.27/51.54 (m_and_h_gate_v_in1(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5770, 22, 18209])).
% 79.27/51.54 tff(18211,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5766, 8, 18196, 18210])).
% 79.27/51.54 tff(18212,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | node4(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18213,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18212, 7448, 18116])).
% 79.27/51.54 tff(18214,plain,
% 79.27/51.54 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[7500, 18213])).
% 79.27/51.54 tff(18215,plain,
% 79.27/51.54 (m_c_h_element_v_in2(c_e_h_1, c_e, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[8700, 18214, 8626])).
% 79.27/51.54 tff(18216,plain,
% 79.27/51.54 (m_and_h_gate_v_out(c_e_h_1, c_i, s5)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5808, 18215])).
% 79.27/51.54 tff(18217,plain,
% 79.27/51.54 (node20(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5800, 18216])).
% 79.27/51.54 tff(18218,plain,
% 79.27/51.54 (m_and_h_gate_v_in1(c_e_h_1, c_i, s4)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5770, 22, 18217])).
% 79.27/51.54 tff(18219,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[5766, 8, 18196, 18218])).
% 79.27/51.54 tff(18220,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s4) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | node4(c_e_h_1, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18221,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18220, 18193, 18190, 8626])).
% 79.27/51.54 tff(18222,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18223,plain,
% 79.27/51.54 ($false),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18222, 18187, 18185, 6658, 18179])).
% 79.27/51.54 tff(18224,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 79.27/51.54 tff(18225,plain,
% 79.27/51.54 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[18224, 18087, 17541])).
% 79.27/51.54 tff(18226,plain,
% 79.27/51.54 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16371, 17777])).
% 79.27/51.54 tff(18227,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17974, 8037, 17907, 8001])).
% 79.27/51.54 tff(18228,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)), introduced(assumption)).
% 79.27/51.54 tff(18229,plain,
% 79.27/51.54 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[17714, 12656, 17782])).
% 79.27/51.54 tff(18230,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[15793, 12656, 17782])).
% 79.27/51.54 tff(18231,plain,
% 79.27/51.54 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.27/51.54 inference(unit_resolution,[status(thm)],[16007, 18230, 17780])).
% 79.27/51.55 tff(18232,plain,
% 79.27/51.55 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[17980, 18231])).
% 79.27/51.55 tff(18233,plain,
% 79.27/51.55 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18059, 18232, 17688, 18229])).
% 79.27/51.55 tff(18234,plain,
% 79.27/51.55 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18024, 17688])).
% 79.27/51.55 tff(18235,plain,
% 79.27/51.55 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18012, 18230, 18229, 18234, 17541])).
% 79.27/51.55 tff(18236,plain,
% 79.27/51.55 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[17503, 18235])).
% 79.27/51.55 tff(18237,plain,
% 79.27/51.55 (~node9(c_e_h_1, c_m, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[17511, 18236])).
% 79.27/51.55 tff(18238,plain,
% 79.27/51.55 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[17537, 18237, 18233])).
% 79.27/51.55 tff(18239,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)), introduced(assumption)).
% 79.27/51.55 tff(18240,plain,
% 79.27/51.55 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[12652, 17953])).
% 79.27/51.55 tff(18241,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.27/51.55 tff(18242,plain,
% 79.27/51.55 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.27/51.55 inference(rewrite,[status(thm)],[])).
% 79.27/51.55 tff(18243,plain,
% 79.27/51.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.27/51.55 inference(quant_inst,[status(thm)],[])).
% 79.27/51.55 tff(18244,plain,
% 79.27/51.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.27/51.55 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 79.27/51.55 tff(18245,plain,
% 79.27/51.55 ($false),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18244, 3964, 8001, 18241])).
% 79.27/51.55 tff(18246,plain,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.27/51.55 tff(18247,plain,
% 79.27/51.55 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18246, 8001])).
% 79.27/51.55 tff(18248,plain,
% 79.27/51.55 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[16463, 18233])).
% 79.27/51.55 tff(18249,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.27/51.55 tff(18250,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)), introduced(assumption)).
% 79.27/51.55 tff(18251,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)), introduced(assumption)).
% 79.27/51.55 tff(18252,assumption,(node11(c_e_h_1, c_n, s10, s11)), introduced(assumption)).
% 79.27/51.55 tff(18253,plain,
% 79.27/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~node11(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~node11(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))),
% 79.27/51.55 inference(rewrite,[status(thm)],[])).
% 79.27/51.55 tff(18254,plain,
% 79.27/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~node11(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)))),
% 79.27/51.55 inference(quant_inst,[status(thm)],[])).
% 79.27/51.55 tff(18255,plain,
% 79.27/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~node11(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))),
% 79.27/51.55 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 79.27/51.55 tff(18256,plain,
% 79.27/51.55 ($false),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18255, 208, 18251, 18252, 17497])).
% 79.27/51.55 tff(18257,plain,((~node11(c_e_h_1, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.27/51.55 tff(18258,plain,
% 79.27/51.55 (~node11(c_e_h_1, c_n, s10, s11)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18257, 18251, 17497])).
% 79.27/51.55 tff(18259,plain,
% 79.27/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_1, c_n, s10, s11) | node11(c_e_h_1, c_n, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_1, c_n, s10, s11) | node11(c_e_h_1, c_n, s10, s11))),
% 79.27/51.55 inference(rewrite,[status(thm)],[])).
% 79.27/51.55 tff(18260,plain,
% 79.27/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_1, c_n, s10, s11) | node11(c_e_h_1, c_n, s10, s11))),
% 79.27/51.55 inference(quant_inst,[status(thm)],[])).
% 79.27/51.55 tff(18261,plain,
% 79.27/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_1, c_n, s10, s11) | node11(c_e_h_1, c_n, s10, s11)),
% 79.27/51.55 inference(modus_ponens,[status(thm)],[18260, 18259])).
% 79.27/51.55 tff(18262,plain,
% 79.27/51.55 (node10(c_e_h_1, c_n, s10, s11) | node11(c_e_h_1, c_n, s10, s11)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18261, 193, 8015])).
% 79.27/51.55 tff(18263,plain,
% 79.27/51.55 (node10(c_e_h_1, c_n, s10, s11)),
% 79.27/51.55 inference(unit_resolution,[status(thm)],[18262, 18258])).
% 79.27/51.55 tff(18264,plain,
% 79.27/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)))),
% 79.27/51.55 inference(rewrite,[status(thm)],[])).
% 79.27/51.55 tff(18265,plain,
% 79.27/51.55 (((~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)))),
% 79.27/51.55 inference(rewrite,[status(thm)],[])).
% 79.27/51.55 tff(18266,plain,
% 79.27/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10))))),
% 79.27/51.55 inference(monotonicity,[status(thm)],[18265])).
% 79.29/51.55 tff(18267,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)))),
% 79.29/51.55 inference(transitivity,[status(thm)],[18266, 18264])).
% 79.29/51.55 tff(18268,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18269,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~node10(c_e_h_1, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10))),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 79.29/51.55 tff(18270,plain,
% 79.29/51.55 ($false),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18269, 160, 18251, 18263, 18250, 18249])).
% 79.29/51.55 tff(18271,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.55 tff(18272,plain,
% 79.29/51.55 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18271, 18248, 18235, 18247])).
% 79.29/51.55 tff(18273,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)), introduced(assumption)).
% 79.29/51.55 tff(18274,plain,
% 79.29/51.55 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18275,plain,
% 79.29/51.55 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18276,plain,
% 79.29/51.55 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11))),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 79.29/51.55 tff(18277,plain,
% 79.29/51.55 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18276, 3886, 18273])).
% 79.29/51.55 tff(18278,plain,
% 79.29/51.55 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18279,plain,
% 79.29/51.55 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18280,plain,
% 79.29/51.55 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 79.29/51.55 tff(18281,plain,
% 79.29/51.55 (~node9(c_e_h_1, c_m, s11)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18280, 238, 18277])).
% 79.29/51.55 tff(18282,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), introduced(assumption)).
% 79.29/51.55 tff(18283,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)), introduced(assumption)).
% 79.29/51.55 tff(18284,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)), introduced(assumption)).
% 79.29/51.55 tff(18285,plain,
% 79.29/51.55 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18286,plain,
% 79.29/51.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18287,plain,
% 79.29/51.55 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 79.29/51.55 tff(18288,plain,
% 79.29/51.55 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18287, 3976, 18282])).
% 79.29/51.55 tff(18289,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)), introduced(assumption)).
% 79.29/51.55 tff(18290,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)), introduced(assumption)).
% 79.29/51.55 tff(18291,assumption,(node10(c_e_h_1, c_n, s11, s12)), introduced(assumption)).
% 79.29/51.55 tff(18292,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18293,plain,
% 79.29/51.55 (((~node10(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18294,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12))))),
% 79.29/51.55 inference(monotonicity,[status(thm)],[18293])).
% 79.29/51.55 tff(18295,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(transitivity,[status(thm)],[18294, 18292])).
% 79.29/51.55 tff(18296,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18297,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)) | (~node10(c_e_h_1, c_n, s11, s12))),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18296, 18295])).
% 79.29/51.55 tff(18298,plain,
% 79.29/51.55 ($false),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18297, 160, 18290, 18291, 18289, 18284])).
% 79.29/51.55 tff(18299,plain,((~node10(c_e_h_1, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.55 tff(18300,plain,
% 79.29/51.55 (~node10(c_e_h_1, c_n, s11, s12)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18299, 18290, 18289, 18284])).
% 79.29/51.55 tff(18301,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_1, c_n, s11, s12) | node11(c_e_h_1, c_n, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_1, c_n, s11, s12) | node11(c_e_h_1, c_n, s11, s12))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18302,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_1, c_n, s11, s12) | node11(c_e_h_1, c_n, s11, s12))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18303,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_1, c_n, s11, s12) | node11(c_e_h_1, c_n, s11, s12)),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 79.29/51.55 tff(18304,plain,
% 79.29/51.55 (node10(c_e_h_1, c_n, s11, s12) | node11(c_e_h_1, c_n, s11, s12)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18303, 193, 8210])).
% 79.29/51.55 tff(18305,plain,
% 79.29/51.55 (node11(c_e_h_1, c_n, s11, s12)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18304, 18300])).
% 79.29/51.55 tff(18306,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18307,plain,
% 79.29/51.55 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18308,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12))))),
% 79.29/51.55 inference(monotonicity,[status(thm)],[18307])).
% 79.29/51.55 tff(18309,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)))),
% 79.29/51.55 inference(transitivity,[status(thm)],[18308, 18306])).
% 79.29/51.55 tff(18310,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)))),
% 79.29/51.55 inference(quant_inst,[status(thm)],[])).
% 79.29/51.55 tff(18311,plain,
% 79.29/51.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~node11(c_e_h_1, c_n, s11, s12))),
% 79.29/51.55 inference(modus_ponens,[status(thm)],[18310, 18309])).
% 79.29/51.55 tff(18312,plain,
% 79.29/51.55 ($false),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18311, 208, 18273, 18290, 18305])).
% 79.29/51.55 tff(18313,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.55 tff(18314,plain,
% 79.29/51.55 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 79.29/51.55 inference(unit_resolution,[status(thm)],[18313, 18273, 18288, 18284])).
% 79.29/51.55 tff(18315,assumption,(node11(c_e_h_1, c_n, s12, s13)), introduced(assumption)).
% 79.29/51.55 tff(18316,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)), introduced(assumption)).
% 79.29/51.55 tff(18317,plain,
% 79.29/51.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.55 tff(18318,plain,
% 79.29/51.55 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~node11(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.55 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18319,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~node11(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13))))),
% 79.29/51.56 inference(monotonicity,[status(thm)],[18318])).
% 79.29/51.56 tff(18320,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~node11(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.56 inference(transitivity,[status(thm)],[18319, 18317])).
% 79.29/51.56 tff(18321,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~node11(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18322,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | (~node11(c_e_h_1, c_n, s12, s13))),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 79.29/51.56 tff(18323,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18322, 208, 18283, 18316, 18315])).
% 79.29/51.56 tff(18324,plain,((~node11(c_e_h_1, c_n, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18325,plain,
% 79.29/51.56 (~node11(c_e_h_1, c_n, s12, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18324, 18314, 18283])).
% 79.29/51.56 tff(18326,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_1, c_n, s12, s13) | node11(c_e_h_1, c_n, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_1, c_n, s12, s13) | node11(c_e_h_1, c_n, s12, s13))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18327,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_1, c_n, s12, s13) | node11(c_e_h_1, c_n, s12, s13))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18328,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_1, c_n, s12, s13) | node11(c_e_h_1, c_n, s12, s13)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 79.29/51.56 tff(18329,plain,
% 79.29/51.56 (node10(c_e_h_1, c_n, s12, s13) | node11(c_e_h_1, c_n, s12, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18328, 193, 8278])).
% 79.29/51.56 tff(18330,plain,
% 79.29/51.56 (node10(c_e_h_1, c_n, s12, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18329, 18325])).
% 79.29/51.56 tff(18331,assumption,(node10(c_e_h_1, c_n, s12, s13)), introduced(assumption)).
% 79.29/51.56 tff(18332,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)), introduced(assumption)).
% 79.29/51.56 tff(18333,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18334,plain,
% 79.29/51.56 (((~node10(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18335,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13))))),
% 79.29/51.56 inference(monotonicity,[status(thm)],[18334])).
% 79.29/51.56 tff(18336,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13)))),
% 79.29/51.56 inference(transitivity,[status(thm)],[18335, 18333])).
% 79.29/51.56 tff(18337,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18338,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~node10(c_e_h_1, c_n, s12, s13))),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18337, 18336])).
% 79.29/51.56 tff(18339,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18338, 160, 18283, 18332, 18239, 18331])).
% 79.29/51.56 tff(18340,plain,((~node10(c_e_h_1, c_n, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18341,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18340, 18330, 18283, 18239])).
% 79.29/51.56 tff(18342,plain,
% 79.29/51.56 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18343,plain,
% 79.29/51.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18344,plain,
% 79.29/51.56 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18343, 18342])).
% 79.29/51.56 tff(18345,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18344, 3976])).
% 79.29/51.56 tff(18346,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18345, 18341])).
% 79.29/51.56 tff(18347,assumption,(node11(c_e_h_1, c_m, s11, s12)), introduced(assumption)).
% 79.29/51.56 tff(18348,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)), introduced(assumption)).
% 79.29/51.56 tff(18349,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node11(c_e_h_1, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node11(c_e_h_1, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18350,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node11(c_e_h_1, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18351,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node11(c_e_h_1, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 79.29/51.56 tff(18352,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18351, 282, 18348, 18347, 18282])).
% 79.29/51.56 tff(18353,plain,((~node11(c_e_h_1, c_m, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18354,plain,
% 79.29/51.56 (~node11(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18353, 18346, 18282])).
% 79.29/51.56 tff(18355,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_1, c_m, s11, s12) | node11(c_e_h_1, c_m, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_1, c_m, s11, s12) | node11(c_e_h_1, c_m, s11, s12))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18356,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_1, c_m, s11, s12) | node11(c_e_h_1, c_m, s11, s12))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18357,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_1, c_m, s11, s12) | node11(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18356, 18355])).
% 79.29/51.56 tff(18358,plain,
% 79.29/51.56 (node10(c_e_h_1, c_m, s11, s12) | node11(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18357, 193, 8210])).
% 79.29/51.56 tff(18359,plain,
% 79.29/51.56 (node10(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18358, 18354])).
% 79.29/51.56 tff(18360,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node10(c_e_h_1, c_m, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node10(c_e_h_1, c_m, s11, s12)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18361,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node10(c_e_h_1, c_m, s11, s12)))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18362,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | (~node10(c_e_h_1, c_m, s11, s12))),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 79.29/51.56 tff(18363,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18362, 252, 18346, 18359, 18281])).
% 79.29/51.56 tff(18364,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18365,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18364, 18272, 18240, 18239, 18238])).
% 79.29/51.56 tff(18366,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18083, 12656, 17782, 17780])).
% 79.29/51.56 tff(18367,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[8639, 18229])).
% 79.29/51.56 tff(18368,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18054, 18367, 17688])).
% 79.29/51.56 tff(18369,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)), introduced(assumption)).
% 79.29/51.56 tff(18370,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)), introduced(assumption)).
% 79.29/51.56 tff(18371,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18287, 3976, 18282, 18370])).
% 79.29/51.56 tff(18372,plain,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18373,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18372, 18282])).
% 79.29/51.56 tff(18374,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[16424, 16384])).
% 79.29/51.56 tff(18375,plain,
% 79.29/51.56 (~node9(c_e_h_1, c_m, s9)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[16432, 18374])).
% 79.29/51.56 tff(18376,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[16308, 8744])).
% 79.29/51.56 tff(18377,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[16400, 18376, 16384, 16373])).
% 79.29/51.56 tff(18378,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[16463, 17457])).
% 79.29/51.56 tff(18379,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18271, 18378, 18377, 18251, 18250])).
% 79.29/51.56 tff(18380,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18381,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18380, 18247, 8744, 16384, 18375, 16373])).
% 79.29/51.56 tff(18382,plain,
% 79.29/51.56 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[17952, 8001, 8037])).
% 79.29/51.56 tff(18383,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[12652, 18382])).
% 79.29/51.56 tff(18384,plain,
% 79.29/51.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18313, 18383, 18381, 18373])).
% 79.29/51.56 tff(18385,plain,
% 79.29/51.56 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18386,plain,
% 79.29/51.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18387,plain,
% 79.29/51.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 79.29/51.56 tff(18388,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18387, 3886, 18384])).
% 79.29/51.56 tff(18389,plain,
% 79.29/51.56 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18390,plain,
% 79.29/51.56 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18391,plain,
% 79.29/51.56 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18390, 18389])).
% 79.29/51.56 tff(18392,plain,
% 79.29/51.56 (~node9(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18391, 238, 18388])).
% 79.29/51.56 tff(18393,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18276, 3886, 18381])).
% 79.29/51.56 tff(18394,plain,
% 79.29/51.56 (~node9(c_e_h_1, c_m, s11)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18280, 238, 18393])).
% 79.29/51.56 tff(18395,assumption,(~node9(c_e_h_1, c_m, s11)), introduced(assumption)).
% 79.29/51.56 tff(18396,plain,
% 79.29/51.56 (~node11(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18353, 18348, 18282])).
% 79.29/51.56 tff(18397,plain,
% 79.29/51.56 (node10(c_e_h_1, c_m, s11, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18358, 18396])).
% 79.29/51.56 tff(18398,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18362, 252, 18348, 18397, 18395])).
% 79.29/51.56 tff(18399,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)) | node9(c_e_h_1, c_m, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18400,plain,
% 79.29/51.56 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18399, 18394, 18282])).
% 79.29/51.56 tff(18401,assumption,(~node9(c_e_h_1, c_m, s12)), introduced(assumption)).
% 79.29/51.56 tff(18402,assumption,(node10(c_e_h_1, c_m, s12, s13)), introduced(assumption)).
% 79.29/51.56 tff(18403,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18404,plain,
% 79.29/51.56 ((node9(c_e_h_1, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node10(c_e_h_1, c_m, s12, s13))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13)))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18405,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node10(c_e_h_1, c_m, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13))))),
% 79.29/51.56 inference(monotonicity,[status(thm)],[18404])).
% 79.29/51.56 tff(18406,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node10(c_e_h_1, c_m, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13)))),
% 79.29/51.56 inference(transitivity,[status(thm)],[18405, 18403])).
% 79.29/51.56 tff(18407,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node10(c_e_h_1, c_m, s12, s13)))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18408,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12) | (~node10(c_e_h_1, c_m, s12, s13))),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 79.29/51.56 tff(18409,plain,
% 79.29/51.56 ($false),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18408, 252, 18369, 18402, 18401])).
% 79.29/51.56 tff(18410,plain,((~node10(c_e_h_1, c_m, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | node9(c_e_h_1, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.56 tff(18411,plain,
% 79.29/51.56 (~node10(c_e_h_1, c_m, s12, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18410, 18369, 18401])).
% 79.29/51.56 tff(18412,plain,
% 79.29/51.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_1, c_m, s12, s13) | node11(c_e_h_1, c_m, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_1, c_m, s12, s13) | node11(c_e_h_1, c_m, s12, s13))),
% 79.29/51.56 inference(rewrite,[status(thm)],[])).
% 79.29/51.56 tff(18413,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_1, c_m, s12, s13) | node11(c_e_h_1, c_m, s12, s13))),
% 79.29/51.56 inference(quant_inst,[status(thm)],[])).
% 79.29/51.56 tff(18414,plain,
% 79.29/51.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_1, c_m, s12, s13) | node11(c_e_h_1, c_m, s12, s13)),
% 79.29/51.56 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 79.29/51.56 tff(18415,plain,
% 79.29/51.56 (node10(c_e_h_1, c_m, s12, s13) | node11(c_e_h_1, c_m, s12, s13)),
% 79.29/51.56 inference(unit_resolution,[status(thm)],[18414, 193, 8278])).
% 79.29/51.57 tff(18416,plain,
% 79.29/51.57 (node11(c_e_h_1, c_m, s12, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18415, 18411])).
% 79.29/51.57 tff(18417,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)), introduced(assumption)).
% 79.29/51.57 tff(18418,plain,
% 79.29/51.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node11(c_e_h_1, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node11(c_e_h_1, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18419,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node11(c_e_h_1, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18420,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | (~node11(c_e_h_1, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 79.29/51.57 tff(18421,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18420, 282, 18369, 18417, 18416])).
% 79.29/51.57 tff(18422,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12) | node9(c_e_h_1, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18423,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18422, 18400, 18392, 18369])).
% 79.29/51.57 tff(18424,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18425,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18424, 18238, 8001, 16373, 18368, 18366, 8037])).
% 79.29/51.57 tff(18426,assumption,(~node9(c_e_h_1, c_m, s13)), introduced(assumption)).
% 79.29/51.57 tff(18427,assumption,(node10(c_e_h_1, c_m, s13, s14)), introduced(assumption)).
% 79.29/51.57 tff(18428,plain,
% 79.29/51.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node10(c_e_h_1, c_m, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node10(c_e_h_1, c_m, s13, s14)))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18429,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node10(c_e_h_1, c_m, s13, s14)))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18430,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node10(c_e_h_1, c_m, s13, s14))),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 79.29/51.57 tff(18431,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18430, 252, 18228, 18427, 18426])).
% 79.29/51.57 tff(18432,plain,((~node10(c_e_h_1, c_m, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | node9(c_e_h_1, c_m, s13)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18433,plain,
% 79.29/51.57 (~node10(c_e_h_1, c_m, s13, s14)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18432, 18228, 18426])).
% 79.29/51.57 tff(18434,plain,
% 79.29/51.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_1, c_m, s13, s14) | node11(c_e_h_1, c_m, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_1, c_m, s13, s14) | node11(c_e_h_1, c_m, s13, s14))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18435,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_1, c_m, s13, s14) | node11(c_e_h_1, c_m, s13, s14))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18436,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_1, c_m, s13, s14) | node11(c_e_h_1, c_m, s13, s14)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18435, 18434])).
% 79.29/51.57 tff(18437,plain,
% 79.29/51.57 (node10(c_e_h_1, c_m, s13, s14) | node11(c_e_h_1, c_m, s13, s14)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18436, 193, 8985])).
% 79.29/51.57 tff(18438,plain,
% 79.29/51.57 (node11(c_e_h_1, c_m, s13, s14)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18437, 18433])).
% 79.29/51.57 tff(18439,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)), introduced(assumption)).
% 79.29/51.57 tff(18440,plain,
% 79.29/51.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node11(c_e_h_1, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node11(c_e_h_1, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18441,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node11(c_e_h_1, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18442,plain,
% 79.29/51.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~node11(c_e_h_1, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 79.29/51.57 tff(18443,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18442, 282, 18439, 18228, 18438])).
% 79.29/51.57 tff(18444,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13) | node9(c_e_h_1, c_m, s13)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18445,plain,
% 79.29/51.57 (node9(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18444, 18425, 18228])).
% 79.29/51.57 tff(18446,assumption,(node9(c_e_h_1, c_m, s13)), introduced(assumption)).
% 79.29/51.57 tff(18447,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)), introduced(assumption)).
% 79.29/51.57 tff(18448,plain,
% 79.29/51.57 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18449,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18450,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 79.29/51.57 tff(18451,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18450, 238, 18447, 18446])).
% 79.29/51.57 tff(18452,plain,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13) | (~node9(c_e_h_1, c_m, s13))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18453,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18452, 18445])).
% 79.29/51.57 tff(18454,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18455,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18456,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13))),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18455, 18454])).
% 79.29/51.57 tff(18457,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18456, 3886, 18453, 18365])).
% 79.29/51.57 tff(18458,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18459,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18458, 8037, 17541, 12656, 16373, 18228, 8001])).
% 79.29/51.57 tff(18460,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18461,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18462,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 79.29/51.57 tff(18463,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18462, 3964])).
% 79.29/51.57 tff(18464,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18463, 18459, 18227])).
% 79.29/51.57 tff(18465,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | node20(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18466,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18465, 17906, 17863, 17626, 18226, 17556, 17541])).
% 79.29/51.57 tff(18467,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17791, 17778])).
% 79.29/51.57 tff(18468,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_c, s8)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17799, 18467])).
% 79.29/51.57 tff(18469,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16424, 18084])).
% 79.29/51.57 tff(18470,plain,
% 79.29/51.57 (~node9(c_e_h_1, c_m, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16432, 18469])).
% 79.29/51.57 tff(18471,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_c, s7)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17828, 17722])).
% 79.29/51.57 tff(18472,plain,
% 79.29/51.57 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15380, 15347])).
% 79.29/51.57 tff(18473,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15967, 18472])).
% 79.29/51.57 tff(18474,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_c, s6)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15975, 18473])).
% 79.29/51.57 tff(18475,plain,
% 79.29/51.57 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15316, 18472])).
% 79.29/51.57 tff(18476,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15762, 18475])).
% 79.29/51.57 tff(18477,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_c, s5)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15770, 18476])).
% 79.29/51.57 tff(18478,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[15793, 12656, 18477])).
% 79.29/51.57 tff(18479,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16007, 18478, 18474])).
% 79.29/51.57 tff(18480,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17756, 18479, 18471])).
% 79.29/51.57 tff(18481,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17822, 18480, 17801])).
% 79.29/51.57 tff(18482,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17897, 18481, 17879])).
% 79.29/51.57 tff(18483,plain,
% 79.29/51.57 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17905, 18482])).
% 79.29/51.57 tff(18484,plain,
% 79.29/51.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17776, 12656, 15347, 18475])).
% 79.29/51.57 tff(18485,plain,
% 79.29/51.57 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17845, 18481])).
% 79.29/51.57 tff(18486,plain,
% 79.29/51.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17862, 18485, 18484])).
% 79.29/51.57 tff(18487,plain,
% 79.29/51.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17952, 18486, 18483])).
% 79.29/51.57 tff(18488,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[12652, 18487])).
% 79.29/51.57 tff(18489,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16371, 18484])).
% 79.29/51.57 tff(18490,plain,
% 79.29/51.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17714, 12656, 18477])).
% 79.29/51.57 tff(18491,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[8639, 18490])).
% 79.29/51.57 tff(18492,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18054, 18491, 17688])).
% 79.29/51.57 tff(18493,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16308, 18492])).
% 79.29/51.57 tff(18494,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16400, 18493, 16384, 18489])).
% 79.29/51.57 tff(18495,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16455, 18492, 16434])).
% 79.29/51.57 tff(18496,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[16463, 18495])).
% 79.29/51.57 tff(18497,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18246, 18486])).
% 79.29/51.57 tff(18498,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18271, 18497, 18496, 18494])).
% 79.29/51.57 tff(18499,plain,
% 79.29/51.57 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17974, 18486, 17907, 18483])).
% 79.29/51.57 tff(18500,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18463, 18499])).
% 79.29/51.57 tff(18501,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17503, 18494])).
% 79.29/51.57 tff(18502,plain,
% 79.29/51.57 (~node9(c_e_h_1, c_m, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17511, 18501])).
% 79.29/51.57 tff(18503,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17537, 18502, 18495])).
% 79.29/51.57 tff(18504,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18364, 18503, 18500, 18498, 18488])).
% 79.29/51.57 tff(18505,plain,
% 79.29/51.57 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18424, 18503, 16384, 18483, 18492, 18489, 18486])).
% 79.29/51.57 tff(18506,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s15)), introduced(assumption)).
% 79.29/51.57 tff(18507,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_r, s9)), introduced(assumption)).
% 79.29/51.57 tff(18508,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18509,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s9))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18510,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 79.29/51.57 tff(18511,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18510, 9234, 7891, 18507])).
% 79.29/51.57 tff(18512,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18513,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18512, 18484])).
% 79.29/51.57 tff(18514,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)), introduced(assumption)).
% 79.29/51.57 tff(18515,plain,
% 79.29/51.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s9))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18516,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s9))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18517,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 79.29/51.57 tff(18518,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18517, 22, 9205, 18514])).
% 79.29/51.57 tff(18519,plain,((~node20(c_e_h_1, c_r, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s9)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18520,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_r, s9)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18519, 18513])).
% 79.29/51.57 tff(18521,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[9482, 18520])).
% 79.29/51.57 tff(18522,plain,
% 79.29/51.57 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18271, 18247, 18249, 17497])).
% 79.29/51.57 tff(18523,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.57 tff(18524,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.29/51.57 tff(18525,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18526,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18527,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18526, 18525])).
% 79.29/51.57 tff(18528,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18527, 9234, 8001, 18524])).
% 79.29/51.57 tff(18529,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18530,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18529, 8001])).
% 79.29/51.57 tff(18531,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)), introduced(assumption)).
% 79.29/51.57 tff(18532,plain,
% 79.29/51.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18533,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18534,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 79.29/51.57 tff(18535,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18534, 22, 17466, 18531])).
% 79.29/51.57 tff(18536,plain,((~node20(c_e_h_1, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18537,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_r, s10)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18536, 18530])).
% 79.29/51.57 tff(18538,plain,
% 79.29/51.57 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[17493, 18537, 9485])).
% 79.29/51.57 tff(18539,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18540,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18541,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18540, 18539])).
% 79.29/51.57 tff(18542,plain,
% 79.29/51.57 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18541, 7347, 18417])).
% 79.29/51.57 tff(18543,plain,
% 79.29/51.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s12))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18544,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s12))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18545,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s12)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18544, 18543])).
% 79.29/51.57 tff(18546,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_r, s12)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18545, 334, 18542])).
% 79.29/51.57 tff(18547,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.57 tff(18548,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.57 tff(18549,plain,
% 79.29/51.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18550,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18551,plain,
% 79.29/51.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 79.29/51.57 tff(18552,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18551, 9234, 8081, 18548])).
% 79.29/51.57 tff(18553,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18554,plain,
% 79.29/51.57 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18553, 8081])).
% 79.29/51.57 tff(18555,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.57 tff(18556,assumption,(node20(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.57 tff(18557,plain,
% 79.29/51.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s11))),
% 79.29/51.57 inference(rewrite,[status(thm)],[])).
% 79.29/51.57 tff(18558,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s11))),
% 79.29/51.57 inference(quant_inst,[status(thm)],[])).
% 79.29/51.57 tff(18559,plain,
% 79.29/51.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s11)),
% 79.29/51.57 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 79.29/51.57 tff(18560,plain,
% 79.29/51.57 ($false),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18559, 22, 18556, 18555])).
% 79.29/51.57 tff(18561,plain,((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.57 tff(18562,plain,
% 79.29/51.57 (~node20(c_e_h_1, c_r, s11)),
% 79.29/51.57 inference(unit_resolution,[status(thm)],[18561, 18554])).
% 79.29/51.57 tff(18563,assumption,(~node20(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.57 tff(18564,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s12)), introduced(assumption)).
% 79.29/51.57 tff(18565,assumption,(node22(c_e_h_1, c_r, s11, s12)), introduced(assumption)).
% 79.29/51.57 tff(18566,plain,
% 79.29/51.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node22(c_e_h_1, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node22(c_e_h_1, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18567,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node22(c_e_h_1, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18568,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node22(c_e_h_1, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18567, 18566])).
% 79.29/51.58 tff(18569,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18568, 437, 18547, 18565, 18564])).
% 79.29/51.58 tff(18570,plain,((~node22(c_e_h_1, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18571,plain,
% 79.29/51.58 (~node22(c_e_h_1, c_r, s11, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18570, 18564, 18547])).
% 79.29/51.58 tff(18572,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_r, s11, s12) | node22(c_e_h_1, c_r, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_r, s11, s12) | node22(c_e_h_1, c_r, s11, s12))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18573,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_r, s11, s12) | node22(c_e_h_1, c_r, s11, s12))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18574,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_r, s11, s12) | node22(c_e_h_1, c_r, s11, s12)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18573, 18572])).
% 79.29/51.58 tff(18575,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s11, s12) | node22(c_e_h_1, c_r, s11, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18574, 383, 8210])).
% 79.29/51.58 tff(18576,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s11, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18575, 18571])).
% 79.29/51.58 tff(18577,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18578,plain,
% 79.29/51.58 ((node20(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node21(c_e_h_1, c_r, s11, s12))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18579,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node21(c_e_h_1, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12))))),
% 79.29/51.58 inference(monotonicity,[status(thm)],[18578])).
% 79.29/51.58 tff(18580,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node21(c_e_h_1, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12)))),
% 79.29/51.58 inference(transitivity,[status(thm)],[18579, 18577])).
% 79.29/51.58 tff(18581,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | (~node21(c_e_h_1, c_r, s11, s12)))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18582,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | (~node21(c_e_h_1, c_r, s11, s12))),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 79.29/51.58 tff(18583,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18582, 348, 18576, 18564, 18563])).
% 79.29/51.58 tff(18584,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s12)) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18585,plain,
% 79.29/51.58 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18584, 18562, 18547])).
% 79.29/51.58 tff(18586,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s13)), introduced(assumption)).
% 79.29/51.58 tff(18587,assumption,(~node20(c_e_h_1, c_r, s12)), introduced(assumption)).
% 79.29/51.58 tff(18588,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s12)), introduced(assumption)).
% 79.29/51.58 tff(18589,assumption,(node22(c_e_h_1, c_r, s12, s13)), introduced(assumption)).
% 79.29/51.58 tff(18590,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node22(c_e_h_1, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node22(c_e_h_1, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18591,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node22(c_e_h_1, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18592,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node22(c_e_h_1, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18591, 18590])).
% 79.29/51.58 tff(18593,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18592, 437, 18589, 18588, 18586])).
% 79.29/51.58 tff(18594,plain,((~node22(c_e_h_1, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18595,plain,
% 79.29/51.58 (~node22(c_e_h_1, c_r, s12, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18594, 18586, 18588])).
% 79.29/51.58 tff(18596,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_r, s12, s13) | node22(c_e_h_1, c_r, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_r, s12, s13) | node22(c_e_h_1, c_r, s12, s13))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18597,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_r, s12, s13) | node22(c_e_h_1, c_r, s12, s13))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18598,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_r, s12, s13) | node22(c_e_h_1, c_r, s12, s13)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18597, 18596])).
% 79.29/51.58 tff(18599,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s12, s13) | node22(c_e_h_1, c_r, s12, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18598, 383, 8278])).
% 79.29/51.58 tff(18600,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s12, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18599, 18595])).
% 79.29/51.58 tff(18601,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node21(c_e_h_1, c_r, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node21(c_e_h_1, c_r, s12, s13)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18602,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node21(c_e_h_1, c_r, s12, s13)))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18603,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | (~node21(c_e_h_1, c_r, s12, s13))),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18602, 18601])).
% 79.29/51.58 tff(18604,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18603, 348, 18600, 18587, 18586])).
% 79.29/51.58 tff(18605,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s13)) | node20(c_e_h_1, c_r, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s12)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18606,plain,
% 79.29/51.58 (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18605, 18585, 18546])).
% 79.29/51.58 tff(18607,assumption,(~node20(c_e_h_1, c_r, s13)), introduced(assumption)).
% 79.29/51.58 tff(18608,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s13)), introduced(assumption)).
% 79.29/51.58 tff(18609,assumption,(node22(c_e_h_1, c_r, s13, s14)), introduced(assumption)).
% 79.29/51.58 tff(18610,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node22(c_e_h_1, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node22(c_e_h_1, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18611,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node22(c_e_h_1, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18612,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node22(c_e_h_1, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 79.29/51.58 tff(18613,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18612, 437, 18609, 18523, 18608])).
% 79.29/51.58 tff(18614,plain,((~node22(c_e_h_1, c_r, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18615,plain,
% 79.29/51.58 (~node22(c_e_h_1, c_r, s13, s14)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18614, 18523, 18608])).
% 79.29/51.58 tff(18616,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_r, s13, s14) | node22(c_e_h_1, c_r, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_r, s13, s14) | node22(c_e_h_1, c_r, s13, s14))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18617,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_r, s13, s14) | node22(c_e_h_1, c_r, s13, s14))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18618,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_r, s13, s14) | node22(c_e_h_1, c_r, s13, s14)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 79.29/51.58 tff(18619,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s13, s14) | node22(c_e_h_1, c_r, s13, s14)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18618, 383, 8985])).
% 79.29/51.58 tff(18620,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s13, s14)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18619, 18615])).
% 79.29/51.58 tff(18621,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node21(c_e_h_1, c_r, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node21(c_e_h_1, c_r, s13, s14)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18622,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node21(c_e_h_1, c_r, s13, s14)))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18623,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | (~node21(c_e_h_1, c_r, s13, s14))),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 79.29/51.58 tff(18624,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18623, 348, 18620, 18523, 18607])).
% 79.29/51.58 tff(18625,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | node20(c_e_h_1, c_r, s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s13)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18626,plain,
% 79.29/51.58 (node20(c_e_h_1, c_r, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18625, 18606, 18523])).
% 79.29/51.58 tff(18627,plain,
% 79.29/51.58 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s13))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18628,plain,
% 79.29/51.58 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s13))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18629,plain,
% 79.29/51.58 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s13)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 79.29/51.58 tff(18630,plain,
% 79.29/51.58 (m_and_h_gate_v_in2(c_e_h_1, c_r, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18629, 334, 18626])).
% 79.29/51.58 tff(18631,plain,
% 79.29/51.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18313, 12653, 18273, 18289])).
% 79.29/51.58 tff(18632,plain,
% 79.29/51.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18387, 3886, 18631])).
% 79.29/51.58 tff(18633,plain,
% 79.29/51.58 (~node9(c_e_h_1, c_m, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18391, 238, 18632])).
% 79.29/51.58 tff(18634,plain,
% 79.29/51.58 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18422, 18633, 18417])).
% 79.29/51.58 tff(18635,plain,
% 79.29/51.58 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18636,plain,
% 79.29/51.58 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18637,plain,
% 79.29/51.58 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 79.29/51.58 tff(18638,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18637, 7347, 18634, 18630])).
% 79.29/51.58 tff(18639,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18640,plain,
% 79.29/51.58 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18639, 18538, 8081, 18523, 18522, 18373])).
% 79.29/51.58 tff(18641,plain,
% 79.29/51.58 (node9(c_e_h_1, c_m, s11)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18399, 18640, 18282])).
% 79.29/51.58 tff(18642,plain,
% 79.29/51.58 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18276, 3886, 18522])).
% 79.29/51.58 tff(18643,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18280, 238, 18642, 18641])).
% 79.29/51.58 tff(18644,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18645,plain,
% 79.29/51.58 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18644, 18503, 18486, 18494, 18496, 18521, 18487])).
% 79.29/51.58 tff(18646,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.58 tff(18647,assumption,(~node20(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.58 tff(18648,assumption,(node21(c_e_h_1, c_r, s14, s15)), introduced(assumption)).
% 79.29/51.58 tff(18649,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18650,plain,
% 79.29/51.58 ((node20(c_e_h_1, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node21(c_e_h_1, c_r, s14, s15))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15)))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18651,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node21(c_e_h_1, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15))))),
% 79.29/51.58 inference(monotonicity,[status(thm)],[18650])).
% 79.29/51.58 tff(18652,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node21(c_e_h_1, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15)))),
% 79.29/51.58 inference(transitivity,[status(thm)],[18651, 18649])).
% 79.29/51.58 tff(18653,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node21(c_e_h_1, c_r, s14, s15)))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18654,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14) | (~node21(c_e_h_1, c_r, s14, s15))),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 79.29/51.58 tff(18655,plain,
% 79.29/51.58 ($false),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18654, 348, 18648, 18506, 18647])).
% 79.29/51.58 tff(18656,plain,((~node21(c_e_h_1, c_r, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | node20(c_e_h_1, c_r, s14)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.58 tff(18657,plain,
% 79.29/51.58 (~node21(c_e_h_1, c_r, s14, s15)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18656, 18506, 18647])).
% 79.29/51.58 tff(18658,plain,
% 79.29/51.58 (succ(s14, s15) <=> succ(s14, s15)),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18659,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 79.29/51.58 tff(18660,plain,
% 79.29/51.58 (succ(s14, s15)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18659, 18658])).
% 79.29/51.58 tff(18661,plain,
% 79.29/51.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18662,plain,
% 79.29/51.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18663,plain,
% 79.29/51.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 79.29/51.58 tff(18664,plain,
% 79.29/51.58 (trans(s14, s15)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18663, 18660, 176])).
% 79.29/51.58 tff(18665,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_r, s14, s15) | node22(c_e_h_1, c_r, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_r, s14, s15) | node22(c_e_h_1, c_r, s14, s15))),
% 79.29/51.58 inference(rewrite,[status(thm)],[])).
% 79.29/51.58 tff(18666,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_r, s14, s15) | node22(c_e_h_1, c_r, s14, s15))),
% 79.29/51.58 inference(quant_inst,[status(thm)],[])).
% 79.29/51.58 tff(18667,plain,
% 79.29/51.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_r, s14, s15) | node22(c_e_h_1, c_r, s14, s15)),
% 79.29/51.58 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 79.29/51.58 tff(18668,plain,
% 79.29/51.58 (node21(c_e_h_1, c_r, s14, s15) | node22(c_e_h_1, c_r, s14, s15)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18667, 383, 18664])).
% 79.29/51.58 tff(18669,plain,
% 79.29/51.58 (node22(c_e_h_1, c_r, s14, s15)),
% 79.29/51.58 inference(unit_resolution,[status(thm)],[18668, 18657])).
% 79.29/51.58 tff(18670,plain,
% 79.29/51.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node22(c_e_h_1, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node22(c_e_h_1, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18671,plain,
% 79.29/51.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node22(c_e_h_1, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18672,plain,
% 79.29/51.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~node22(c_e_h_1, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 79.29/51.59 tff(18673,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18672, 437, 18669, 18506, 18646])).
% 79.29/51.59 tff(18674,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | node20(c_e_h_1, c_r, s14)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18675,plain,
% 79.29/51.59 (node20(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18674, 18645, 18506])).
% 79.29/51.59 tff(18676,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.59 tff(18677,assumption,(node20(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.59 tff(18678,plain,
% 79.29/51.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18679,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18680,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 79.29/51.59 tff(18681,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18680, 334, 18677, 18676])).
% 79.29/51.59 tff(18682,plain,(m_and_h_gate_v_in2(c_e_h_1, c_r, s14) | (~node20(c_e_h_1, c_r, s14))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18683,plain,
% 79.29/51.59 (m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18682, 18675])).
% 79.29/51.59 tff(18684,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_r, s14)), introduced(assumption)).
% 79.29/51.59 tff(18685,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)), introduced(assumption)).
% 79.29/51.59 tff(18686,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18687,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18688,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 79.29/51.59 tff(18689,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18688, 7347, 18685, 18684])).
% 79.29/51.59 tff(18690,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18691,plain,
% 79.29/51.59 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18690, 18683])).
% 79.29/51.59 tff(18692,plain,
% 79.29/51.59 (node9(c_e_h_1, c_m, s13)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18444, 18691, 18505])).
% 79.29/51.59 tff(18693,plain,
% 79.29/51.59 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18452, 18692])).
% 79.29/51.59 tff(18694,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18456, 3886, 18693, 18504])).
% 79.29/51.59 tff(18695,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node20(c_e_h_1, c_c, s10) | node20(c_e_h_1, c_c, s9) | node20(c_e_h_1, c_c, s8) | node9(c_e_h_1, c_m, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s7)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18696,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18695, 18470, 18468, 17556, 17878, 17626, 18084, 17680])).
% 79.29/51.59 tff(18697,plain,
% 79.29/51.59 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7445, 18087])).
% 79.29/51.59 tff(18698,plain,
% 79.29/51.59 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7453, 18697])).
% 79.29/51.59 tff(18699,plain,
% 79.29/51.59 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7465, 18698])).
% 79.29/51.59 tff(18700,plain,
% 79.29/51.59 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[15677, 17626])).
% 79.29/51.59 tff(18701,plain,
% 79.29/51.59 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[15598, 18087])).
% 79.29/51.59 tff(18702,plain,
% 79.29/51.59 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[15613, 18699, 18701])).
% 79.29/51.59 tff(18703,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_i, s5)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7468, 18702])).
% 79.29/51.59 tff(18704,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7492, 18703])).
% 79.29/51.59 tff(18705,plain,
% 79.29/51.59 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7596, 8, 18702])).
% 79.29/51.59 tff(18706,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_i, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7604, 18705])).
% 79.29/51.59 tff(18707,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7624, 18706, 18704])).
% 79.29/51.59 tff(18708,plain,
% 79.29/51.59 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[15737, 18699, 18700, 18087])).
% 79.29/51.59 tff(18709,plain,
% 79.29/51.59 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7711, 8, 18708])).
% 79.29/51.59 tff(18710,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_i, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7719, 18709])).
% 79.29/51.59 tff(18711,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[7742, 18710, 18707])).
% 79.29/51.59 tff(18712,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[16075, 18711, 17783, 17780, 18087, 18700, 18699])).
% 79.29/51.59 tff(18713,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s16)), introduced(assumption)).
% 79.29/51.59 tff(18714,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s15)), introduced(assumption)).
% 79.29/51.59 tff(18715,assumption,(m_user_v_ack(c_e_h_1, c_u, s15)), introduced(assumption)).
% 79.29/51.59 tff(18716,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18717,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18718,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18717, 18716])).
% 79.29/51.59 tff(18719,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18718, 7367, 18715, 18714])).
% 79.29/51.59 tff(18720,plain,((~m_user_v_ack(c_e_h_1, c_u, s15)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18721,plain,
% 79.29/51.59 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18720, 18696])).
% 79.29/51.59 tff(18722,plain,
% 79.29/51.59 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s15) | (~node24(s15)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s15) | (~node24(s15)))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18723,plain,
% 79.29/51.59 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s15) | (~node24(s15)))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18724,plain,
% 79.29/51.59 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s15) | (~node24(s15))),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18723, 18722])).
% 79.29/51.59 tff(18725,plain,
% 79.29/51.59 (~node24(s15)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18724, 9500, 18721])).
% 79.29/51.59 tff(18726,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18727,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18728,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 79.29/51.59 tff(18729,plain,
% 79.29/51.59 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18728, 9234, 17975])).
% 79.29/51.59 tff(18730,plain,
% 79.29/51.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s12))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18731,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s12))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18732,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s12)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18731, 18730])).
% 79.29/51.59 tff(18733,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_r, s12)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18732, 22, 18729])).
% 79.29/51.59 tff(18734,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))) <=> ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18735,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | (m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18736,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : (m_user_v_ack(I0, c_u, X) | (~m_and_h_gate_v_out(I0, c_r, X)))) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10))),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18735, 18734])).
% 79.29/51.59 tff(18737,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18736, 15243, 9460, 9493])).
% 79.29/51.59 tff(18738,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | m_user_v_ack(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18739,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18738, 9493])).
% 79.29/51.59 tff(18740,plain,
% 79.29/51.59 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[17952, 17906, 17863])).
% 79.29/51.59 tff(18741,plain,
% 79.29/51.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18644, 18740, 18085, 17863, 18063, 18739, 18014])).
% 79.29/51.59 tff(18742,assumption,(m_user_v_ack(c_e_h_1, c_u, s14)), introduced(assumption)).
% 79.29/51.59 tff(18743,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18744,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18745,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18744, 18743])).
% 79.29/51.59 tff(18746,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18745, 7367, 18646, 18742])).
% 79.29/51.59 tff(18747,plain,((~m_user_v_ack(c_e_h_1, c_u, s14)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18748,plain,
% 79.29/51.59 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18747, 18741])).
% 79.29/51.59 tff(18749,assumption,(node24(s14)), introduced(assumption)).
% 79.29/51.59 tff(18750,assumption,(~m_user_v_ack(c_e_h_1, c_u, s14)), introduced(assumption)).
% 79.29/51.59 tff(18751,plain,
% 79.29/51.59 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s14) | (~node24(s14)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s14) | (~node24(s14)))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18752,plain,
% 79.29/51.59 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s14) | (~node24(s14)))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18753,plain,
% 79.29/51.59 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s14) | (~node24(s14))),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18752, 18751])).
% 79.29/51.59 tff(18754,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18753, 9500, 18750, 18749])).
% 79.29/51.59 tff(18755,plain,((~node24(s14)) | m_user_v_ack(c_e_h_1, c_u, s14)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18756,plain,
% 79.29/51.59 (~node24(s14)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18755, 18748])).
% 79.29/51.59 tff(18757,plain,
% 79.29/51.59 (~node24(s10)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[9505, 9493])).
% 79.29/51.59 tff(18758,plain,
% 79.29/51.59 (~node26(s10)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[12645, 18757])).
% 79.29/51.59 tff(18759,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.59 tff(18760,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18761,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18762,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 79.29/51.59 tff(18763,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18762, 7347, 18282, 18759])).
% 79.29/51.59 tff(18764,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18765,plain,
% 79.29/51.59 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18764, 18063])).
% 79.29/51.59 tff(18766,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)), introduced(assumption)).
% 79.29/51.59 tff(18767,plain,
% 79.29/51.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s11))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18768,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s11))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18769,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s11)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18768, 18767])).
% 79.29/51.59 tff(18770,plain,
% 79.29/51.59 ($false),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18769, 334, 18556, 18766])).
% 79.29/51.59 tff(18771,plain,((~node20(c_e_h_1, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.59 tff(18772,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_r, s11)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18771, 18765])).
% 79.29/51.59 tff(18773,plain,
% 79.29/51.59 (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[15746, 18711])).
% 79.29/51.59 tff(18774,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18775,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s7))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18776,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)) | m_c_h_element_v_out(c_e_h_1, c_f, s7)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18775, 18774])).
% 79.29/51.59 tff(18777,plain,
% 79.29/51.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18776, 397, 14675])).
% 79.29/51.59 tff(18778,plain,
% 79.29/51.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s7))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18779,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s7))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18780,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s7)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18779, 18778])).
% 79.29/51.59 tff(18781,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_q, s7)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18780, 22, 18777])).
% 79.29/51.59 tff(18782,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s8)), introduced(assumption)).
% 79.29/51.59 tff(18783,assumption,(node22(c_e_h_1, c_q, s7, s8)), introduced(assumption)).
% 79.29/51.59 tff(18784,plain,
% 79.29/51.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18785,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s6))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18786,plain,
% 79.29/51.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s6)) | m_c_h_element_v_out(c_e_h_1, c_f, s6)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 79.29/51.59 tff(18787,plain,
% 79.29/51.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18786, 397, 14607])).
% 79.29/51.59 tff(18788,plain,
% 79.29/51.59 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s6))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18789,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s6))),
% 79.29/51.59 inference(quant_inst,[status(thm)],[])).
% 79.29/51.59 tff(18790,plain,
% 79.29/51.59 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s6)),
% 79.29/51.59 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 79.29/51.59 tff(18791,plain,
% 79.29/51.59 (~node20(c_e_h_1, c_q, s6)),
% 79.29/51.59 inference(unit_resolution,[status(thm)],[18790, 22, 18787])).
% 79.29/51.59 tff(18792,assumption,(~node20(c_e_h_1, c_q, s6)), introduced(assumption)).
% 79.29/51.59 tff(18793,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s7)), introduced(assumption)).
% 79.29/51.59 tff(18794,assumption,(node21(c_e_h_1, c_q, s6, s7)), introduced(assumption)).
% 79.29/51.59 tff(18795,plain,
% 79.29/51.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7)))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18796,plain,
% 79.29/51.59 ((node20(c_e_h_1, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node21(c_e_h_1, c_q, s6, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7)))),
% 79.29/51.59 inference(rewrite,[status(thm)],[])).
% 79.29/51.59 tff(18797,plain,
% 79.29/51.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node21(c_e_h_1, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7))))),
% 79.29/51.59 inference(monotonicity,[status(thm)],[18796])).
% 79.29/51.59 tff(18798,plain,
% 79.29/51.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node21(c_e_h_1, c_q, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7)))),
% 79.29/51.60 inference(transitivity,[status(thm)],[18797, 18795])).
% 79.29/51.60 tff(18799,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node21(c_e_h_1, c_q, s6, s7)))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18800,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6) | (~node21(c_e_h_1, c_q, s6, s7))),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18799, 18798])).
% 79.29/51.60 tff(18801,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18800, 348, 18793, 18794, 18792])).
% 79.29/51.60 tff(18802,plain,((~node21(c_e_h_1, c_q, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18803,plain,
% 79.29/51.60 (~node21(c_e_h_1, c_q, s6, s7)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18802, 18793, 18792])).
% 79.29/51.60 tff(18804,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_q, s6, s7) | node22(c_e_h_1, c_q, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_q, s6, s7) | node22(c_e_h_1, c_q, s6, s7))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18805,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_q, s6, s7) | node22(c_e_h_1, c_q, s6, s7))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18806,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_q, s6, s7) | node22(c_e_h_1, c_q, s6, s7)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18805, 18804])).
% 79.29/51.60 tff(18807,plain,
% 79.29/51.60 (node21(c_e_h_1, c_q, s6, s7) | node22(c_e_h_1, c_q, s6, s7)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18806, 383, 1685])).
% 79.29/51.60 tff(18808,plain,
% 79.29/51.60 (node22(c_e_h_1, c_q, s6, s7)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18807, 18803])).
% 79.29/51.60 tff(18809,plain,
% 79.29/51.60 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18810,plain,
% 79.29/51.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s4))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18811,plain,
% 79.29/51.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s4)) | m_c_h_element_v_out(c_e_h_1, c_f, s4)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18810, 18809])).
% 79.29/51.60 tff(18812,plain,
% 79.29/51.60 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s4)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18811, 397, 14479])).
% 79.29/51.60 tff(18813,plain,
% 79.29/51.60 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s4))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18814,plain,
% 79.29/51.60 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s4))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18815,plain,
% 79.29/51.60 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s4)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18814, 18813])).
% 79.29/51.60 tff(18816,plain,
% 79.29/51.60 (~node20(c_e_h_1, c_q, s4)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18815, 22, 18812])).
% 79.29/51.60 tff(18817,assumption,(~node20(c_e_h_1, c_q, s4)), introduced(assumption)).
% 79.29/51.60 tff(18818,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s5)), introduced(assumption)).
% 79.29/51.60 tff(18819,assumption,(node21(c_e_h_1, c_q, s4, s5)), introduced(assumption)).
% 79.29/51.60 tff(18820,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5)))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18821,plain,
% 79.29/51.60 ((node20(c_e_h_1, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node21(c_e_h_1, c_q, s4, s5))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5)))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18822,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node21(c_e_h_1, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5))))),
% 79.29/51.60 inference(monotonicity,[status(thm)],[18821])).
% 79.29/51.60 tff(18823,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node21(c_e_h_1, c_q, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5)))),
% 79.29/51.60 inference(transitivity,[status(thm)],[18822, 18820])).
% 79.29/51.60 tff(18824,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node21(c_e_h_1, c_q, s4, s5)))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18825,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4) | (~node21(c_e_h_1, c_q, s4, s5))),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18824, 18823])).
% 79.29/51.60 tff(18826,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18825, 348, 18818, 18819, 18817])).
% 79.29/51.60 tff(18827,plain,((~node21(c_e_h_1, c_q, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | node20(c_e_h_1, c_q, s4)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18828,plain,
% 79.29/51.60 (~node21(c_e_h_1, c_q, s4, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18827, 18818, 18817])).
% 79.29/51.60 tff(18829,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s4)), introduced(assumption)).
% 79.29/51.60 tff(18830,assumption,(node22(c_e_h_1, c_q, s4, s5)), introduced(assumption)).
% 79.29/51.60 tff(18831,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node22(c_e_h_1, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node22(c_e_h_1, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18832,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node22(c_e_h_1, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18833,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | (~node22(c_e_h_1, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18832, 18831])).
% 79.29/51.60 tff(18834,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18833, 437, 18829, 18818, 18830])).
% 79.29/51.60 tff(18835,plain,((~node22(c_e_h_1, c_q, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s5))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18836,plain,
% 79.29/51.60 (~node22(c_e_h_1, c_q, s4, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18835, 18818, 18829])).
% 79.29/51.60 tff(18837,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_q, s4, s5) | node22(c_e_h_1, c_q, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_q, s4, s5) | node22(c_e_h_1, c_q, s4, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18838,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_q, s4, s5) | node22(c_e_h_1, c_q, s4, s5))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18839,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_q, s4, s5) | node22(c_e_h_1, c_q, s4, s5)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 79.29/51.60 tff(18840,plain,
% 79.29/51.60 (node21(c_e_h_1, c_q, s4, s5) | node22(c_e_h_1, c_q, s4, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18839, 383, 930])).
% 79.29/51.60 tff(18841,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18840, 18836, 18828])).
% 79.29/51.60 tff(18842,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4) | node20(c_e_h_1, c_q, s4)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18843,plain,
% 79.29/51.60 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s4)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18842, 18816])).
% 79.29/51.60 tff(18844,plain,
% 79.29/51.60 (~m_and_h_gate_v_out(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18843, 10416])).
% 79.29/51.60 tff(18845,plain,
% 79.29/51.60 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18846,plain,
% 79.29/51.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s5))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18847,plain,
% 79.29/51.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s5)) | m_c_h_element_v_out(c_e_h_1, c_f, s5)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18846, 18845])).
% 79.29/51.60 tff(18848,plain,
% 79.29/51.60 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18847, 397, 14540])).
% 79.29/51.60 tff(18849,plain,
% 79.29/51.60 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18850,plain,
% 79.29/51.60 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18851,plain,
% 79.29/51.60 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18850, 18849])).
% 79.29/51.60 tff(18852,plain,
% 79.29/51.60 (~node20(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18851, 22, 18848])).
% 79.29/51.60 tff(18853,assumption,(~node20(c_e_h_1, c_q, s5)), introduced(assumption)).
% 79.29/51.60 tff(18854,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s5)), introduced(assumption)).
% 79.29/51.60 tff(18855,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s6)), introduced(assumption)).
% 79.29/51.60 tff(18856,assumption,(node22(c_e_h_1, c_q, s5, s6)), introduced(assumption)).
% 79.29/51.60 tff(18857,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node22(c_e_h_1, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node22(c_e_h_1, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18858,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node22(c_e_h_1, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18859,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node22(c_e_h_1, c_q, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 79.29/51.60 tff(18860,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18859, 437, 18855, 18854, 18856])).
% 79.29/51.60 tff(18861,plain,((~node22(c_e_h_1, c_q, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18862,plain,
% 79.29/51.60 (~node22(c_e_h_1, c_q, s5, s6)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18861, 18855, 18854])).
% 79.29/51.60 tff(18863,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_q, s5, s6) | node22(c_e_h_1, c_q, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_q, s5, s6) | node22(c_e_h_1, c_q, s5, s6))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18864,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_q, s5, s6) | node22(c_e_h_1, c_q, s5, s6))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18865,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_q, s5, s6) | node22(c_e_h_1, c_q, s5, s6)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18864, 18863])).
% 79.29/51.60 tff(18866,plain,
% 79.29/51.60 (node21(c_e_h_1, c_q, s5, s6) | node22(c_e_h_1, c_q, s5, s6)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18865, 383, 1343])).
% 79.29/51.60 tff(18867,plain,
% 79.29/51.60 (node21(c_e_h_1, c_q, s5, s6)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18866, 18862])).
% 79.29/51.60 tff(18868,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18869,plain,
% 79.29/51.60 ((node20(c_e_h_1, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18870,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5)))),
% 79.29/51.60 inference(monotonicity,[status(thm)],[18869])).
% 79.29/51.60 tff(18871,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5))),
% 79.29/51.60 inference(transitivity,[status(thm)],[18870, 18868])).
% 79.29/51.60 tff(18872,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18873,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | (~node21(c_e_h_1, c_q, s5, s6)) | node20(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18872, 18871])).
% 79.29/51.60 tff(18874,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18873, 348, 18855, 18867, 18853])).
% 79.29/51.60 tff(18875,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | node20(c_e_h_1, c_q, s5) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.60 tff(18876,plain,
% 79.29/51.60 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18875, 18852])).
% 79.29/51.60 tff(18877,plain,
% 79.29/51.60 (~m_and_h_gate_v_out(c_e_h_1, c_q, s6)),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18876, 18844])).
% 79.29/51.60 tff(18878,plain,
% 79.29/51.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node22(c_e_h_1, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node22(c_e_h_1, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))),
% 79.29/51.60 inference(rewrite,[status(thm)],[])).
% 79.29/51.60 tff(18879,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node22(c_e_h_1, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))),
% 79.29/51.60 inference(quant_inst,[status(thm)],[])).
% 79.29/51.60 tff(18880,plain,
% 79.29/51.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | (~node22(c_e_h_1, c_q, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6)),
% 79.29/51.60 inference(modus_ponens,[status(thm)],[18879, 18878])).
% 79.29/51.60 tff(18881,plain,
% 79.29/51.60 ($false),
% 79.29/51.60 inference(unit_resolution,[status(thm)],[18880, 437, 18793, 18877, 18808])).
% 79.29/51.60 tff(18882,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s7)) | node20(c_e_h_1, c_q, s6)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.61 tff(18883,plain,
% 79.29/51.61 (~m_and_h_gate_v_out(c_e_h_1, c_q, s7)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18882, 18791])).
% 79.29/51.61 tff(18884,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node22(c_e_h_1, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node22(c_e_h_1, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18885,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node22(c_e_h_1, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18886,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node22(c_e_h_1, c_q, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18885, 18884])).
% 79.29/51.61 tff(18887,plain,
% 79.29/51.61 ($false),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18886, 437, 18883, 18782, 18783])).
% 79.29/51.61 tff(18888,plain,((~node22(c_e_h_1, c_q, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8))), inference(lemma,lemma(discharge,[]))).
% 79.29/51.61 tff(18889,plain,
% 79.29/51.61 (~node22(c_e_h_1, c_q, s7, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18888, 18782])).
% 79.29/51.61 tff(18890,assumption,(~node20(c_e_h_1, c_q, s7)), introduced(assumption)).
% 79.29/51.61 tff(18891,assumption,(node21(c_e_h_1, c_q, s7, s8)), introduced(assumption)).
% 79.29/51.61 tff(18892,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8)))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18893,plain,
% 79.29/51.61 ((node20(c_e_h_1, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node21(c_e_h_1, c_q, s7, s8))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8)))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18894,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node21(c_e_h_1, c_q, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8))))),
% 79.29/51.61 inference(monotonicity,[status(thm)],[18893])).
% 79.29/51.61 tff(18895,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node21(c_e_h_1, c_q, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8)))),
% 79.29/51.61 inference(transitivity,[status(thm)],[18894, 18892])).
% 79.29/51.61 tff(18896,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | (~node21(c_e_h_1, c_q, s7, s8)))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18897,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7) | (~node21(c_e_h_1, c_q, s7, s8))),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18896, 18895])).
% 79.29/51.61 tff(18898,plain,
% 79.29/51.61 ($false),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18897, 348, 18782, 18891, 18890])).
% 79.29/51.61 tff(18899,plain,((~node21(c_e_h_1, c_q, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.61 tff(18900,plain,
% 79.29/51.61 (~node21(c_e_h_1, c_q, s7, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18899, 18782, 18890])).
% 79.29/51.61 tff(18901,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_q, s7, s8) | node22(c_e_h_1, c_q, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_q, s7, s8) | node22(c_e_h_1, c_q, s7, s8))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18902,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_q, s7, s8) | node22(c_e_h_1, c_q, s7, s8))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18903,plain,
% 79.29/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_q, s7, s8) | node22(c_e_h_1, c_q, s7, s8)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 79.29/51.61 tff(18904,plain,
% 79.29/51.61 (node21(c_e_h_1, c_q, s7, s8) | node22(c_e_h_1, c_q, s7, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18903, 383, 2456])).
% 79.29/51.61 tff(18905,plain,
% 79.29/51.61 ($false),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18904, 18900, 18889])).
% 79.29/51.61 tff(18906,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s8)) | node20(c_e_h_1, c_q, s7)), inference(lemma,lemma(discharge,[]))).
% 79.29/51.61 tff(18907,plain,
% 79.29/51.61 (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18906, 18781])).
% 79.29/51.61 tff(18908,plain,
% 79.29/51.61 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18909,plain,
% 79.29/51.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s8))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18910,plain,
% 79.29/51.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)) | m_c_h_element_v_out(c_e_h_1, c_f, s8)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18909, 18908])).
% 79.29/51.61 tff(18911,plain,
% 79.29/51.61 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18910, 397, 14755])).
% 79.29/51.61 tff(18912,plain,
% 79.29/51.61 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s8))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18913,plain,
% 79.29/51.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s8))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18914,plain,
% 79.29/51.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s8)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18913, 18912])).
% 79.29/51.61 tff(18915,plain,
% 79.29/51.61 (~node20(c_e_h_1, c_q, s8)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18914, 22, 18911])).
% 79.29/51.61 tff(18916,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.29/51.61 tff(18917,plain,
% 79.29/51.61 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[15754, 14755, 15750])).
% 79.29/51.61 tff(18918,plain,
% 79.29/51.61 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18919,plain,
% 79.29/51.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18920,plain,
% 79.29/51.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)) | m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 79.29/51.61 tff(18921,plain,
% 79.29/51.61 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18920, 397, 18917])).
% 79.29/51.61 tff(18922,plain,
% 79.29/51.61 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s9))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18923,plain,
% 79.29/51.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s9))),
% 79.29/51.61 inference(quant_inst,[status(thm)],[])).
% 79.29/51.61 tff(18924,plain,
% 79.29/51.61 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s9)),
% 79.29/51.61 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 79.29/51.61 tff(18925,plain,
% 79.29/51.61 (~node20(c_e_h_1, c_q, s9)),
% 79.29/51.61 inference(unit_resolution,[status(thm)],[18924, 22, 18921])).
% 79.29/51.61 tff(18926,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.29/51.61 tff(18927,assumption,(~node20(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.29/51.61 tff(18928,assumption,(node21(c_e_h_1, c_q, s9, s10)), introduced(assumption)).
% 79.29/51.61 tff(18929,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10)))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18930,plain,
% 79.29/51.61 ((node20(c_e_h_1, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node21(c_e_h_1, c_q, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10)))),
% 79.29/51.61 inference(rewrite,[status(thm)],[])).
% 79.29/51.61 tff(18931,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node21(c_e_h_1, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10))))),
% 79.29/51.61 inference(monotonicity,[status(thm)],[18930])).
% 79.29/51.61 tff(18932,plain,
% 79.29/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node21(c_e_h_1, c_q, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10)))),
% 79.35/51.61 inference(transitivity,[status(thm)],[18931, 18929])).
% 79.35/51.61 tff(18933,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node21(c_e_h_1, c_q, s9, s10)))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18934,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9) | (~node21(c_e_h_1, c_q, s9, s10))),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 79.35/51.61 tff(18935,plain,
% 79.35/51.61 ($false),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18934, 348, 18916, 18928, 18927])).
% 79.35/51.61 tff(18936,plain,((~node21(c_e_h_1, c_q, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.61 tff(18937,plain,
% 79.35/51.61 (~node21(c_e_h_1, c_q, s9, s10)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18936, 18916, 18927])).
% 79.35/51.61 tff(18938,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_q, s9, s10) | node22(c_e_h_1, c_q, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_q, s9, s10) | node22(c_e_h_1, c_q, s9, s10))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18939,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_1, c_q, s9, s10) | node22(c_e_h_1, c_q, s9, s10))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18940,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_1, c_q, s9, s10) | node22(c_e_h_1, c_q, s9, s10)),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18939, 18938])).
% 79.35/51.61 tff(18941,plain,
% 79.35/51.61 (node21(c_e_h_1, c_q, s9, s10) | node22(c_e_h_1, c_q, s9, s10)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18940, 383, 6039])).
% 79.35/51.61 tff(18942,plain,
% 79.35/51.61 (node22(c_e_h_1, c_q, s9, s10)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18941, 18937])).
% 79.35/51.61 tff(18943,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node22(c_e_h_1, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node22(c_e_h_1, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18944,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node22(c_e_h_1, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18945,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | (~node22(c_e_h_1, c_q, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9)),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18944, 18943])).
% 79.35/51.61 tff(18946,plain,
% 79.35/51.61 ($false),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18945, 437, 18916, 18942, 18926])).
% 79.35/51.61 tff(18947,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9) | node20(c_e_h_1, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.61 tff(18948,plain,
% 79.35/51.61 (m_and_h_gate_v_out(c_e_h_1, c_q, s9)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18947, 18925, 18916])).
% 79.35/51.61 tff(18949,assumption,(~node20(c_e_h_1, c_q, s8)), introduced(assumption)).
% 79.35/51.61 tff(18950,assumption,(node21(c_e_h_1, c_q, s8, s9)), introduced(assumption)).
% 79.35/51.61 tff(18951,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.35/51.61 tff(18952,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9)))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18953,plain,
% 79.35/51.61 ((node20(c_e_h_1, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node21(c_e_h_1, c_q, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9)))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18954,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node21(c_e_h_1, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9))))),
% 79.35/51.61 inference(monotonicity,[status(thm)],[18953])).
% 79.35/51.61 tff(18955,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node21(c_e_h_1, c_q, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9)))),
% 79.35/51.61 inference(transitivity,[status(thm)],[18954, 18952])).
% 79.35/51.61 tff(18956,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node21(c_e_h_1, c_q, s8, s9)))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18957,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | (~node21(c_e_h_1, c_q, s8, s9))),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 79.35/51.61 tff(18958,plain,
% 79.35/51.61 ($false),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18957, 348, 18951, 18950, 18949])).
% 79.35/51.61 tff(18959,plain,((~node21(c_e_h_1, c_q, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.61 tff(18960,plain,
% 79.35/51.61 (~node21(c_e_h_1, c_q, s8, s9)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18959, 18948, 18915])).
% 79.35/51.61 tff(18961,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_q, s8, s9) | node22(c_e_h_1, c_q, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_q, s8, s9) | node22(c_e_h_1, c_q, s8, s9))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18962,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_q, s8, s9) | node22(c_e_h_1, c_q, s8, s9))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18963,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_q, s8, s9) | node22(c_e_h_1, c_q, s8, s9)),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 79.35/51.61 tff(18964,plain,
% 79.35/51.61 (node21(c_e_h_1, c_q, s8, s9) | node22(c_e_h_1, c_q, s8, s9)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18963, 383, 3713])).
% 79.35/51.61 tff(18965,plain,
% 79.35/51.61 (node22(c_e_h_1, c_q, s8, s9)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18964, 18960])).
% 79.35/51.61 tff(18966,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s8)), introduced(assumption)).
% 79.35/51.61 tff(18967,plain,
% 79.35/51.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node22(c_e_h_1, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node22(c_e_h_1, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18968,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node22(c_e_h_1, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18969,plain,
% 79.35/51.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | (~node22(c_e_h_1, c_q, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 79.35/51.61 tff(18970,plain,
% 79.35/51.61 ($false),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18969, 437, 18948, 18966, 18965])).
% 79.35/51.61 tff(18971,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s8) | m_and_h_gate_v_out(c_e_h_1, c_q, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.61 tff(18972,plain,
% 79.35/51.61 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18971, 18907, 14754])).
% 79.35/51.61 tff(18973,plain,
% 79.35/51.61 (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18972, 18773])).
% 79.35/51.61 tff(18974,plain,
% 79.35/51.61 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s10))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18975,plain,
% 79.35/51.61 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s10))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18976,plain,
% 79.35/51.61 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s10)),
% 79.35/51.61 inference(modus_ponens,[status(thm)],[18975, 18974])).
% 79.35/51.61 tff(18977,plain,
% 79.35/51.61 (node3(c_e_h_1, c_e_h_2, s10)),
% 79.35/51.61 inference(unit_resolution,[status(thm)],[18976, 2823, 1791])).
% 79.35/51.61 tff(18978,plain,
% 79.35/51.61 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s10)) | (~node3(c_e_h_1, c_e_h_2, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s10)) | (~node3(c_e_h_1, c_e_h_2, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))),
% 79.35/51.61 inference(rewrite,[status(thm)],[])).
% 79.35/51.61 tff(18979,plain,
% 79.35/51.61 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s10)) | (~node3(c_e_h_1, c_e_h_2, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))),
% 79.35/51.61 inference(quant_inst,[status(thm)],[])).
% 79.35/51.61 tff(18980,plain,
% 79.35/51.61 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s10)) | (~node3(c_e_h_1, c_e_h_2, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[18979, 18978])).
% 79.35/51.62 tff(18981,plain,
% 79.35/51.62 ((~m_cell_v_ack(c_e_h_2, s10)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18980, 1808, 18977])).
% 79.35/51.62 tff(18982,plain,
% 79.35/51.62 (~m_cell_v_ack(c_e_h_2, s10)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18981, 18973])).
% 79.35/51.62 tff(18983,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)) | m_cell_v_ack(c_e_h_2, s10))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)) | m_cell_v_ack(c_e_h_2, s10))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(18984,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)) | m_cell_v_ack(c_e_h_2, s10))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(18985,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)) | m_cell_v_ack(c_e_h_2, s10)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 79.35/51.62 tff(18986,plain,
% 79.35/51.62 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18985, 1820, 18982])).
% 79.35/51.62 tff(18987,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s8))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(18988,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s8))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(18989,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s8)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[18988, 18987])).
% 79.35/51.62 tff(18990,plain,
% 79.35/51.62 (node3(c_e_h_1, c_e_h_2, s8)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18989, 2823, 1791])).
% 79.35/51.62 tff(18991,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s8)) | (~node3(c_e_h_1, c_e_h_2, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s8)) | (~node3(c_e_h_1, c_e_h_2, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(18992,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s8)) | (~node3(c_e_h_1, c_e_h_2, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(18993,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s8)) | (~node3(c_e_h_1, c_e_h_2, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 79.35/51.62 tff(18994,plain,
% 79.35/51.62 ((~m_cell_v_ack(c_e_h_2, s8)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18993, 1808, 18990])).
% 79.35/51.62 tff(18995,plain,
% 79.35/51.62 (~m_cell_v_ack(c_e_h_2, s8)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18994, 18907])).
% 79.35/51.62 tff(18996,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)) | m_cell_v_ack(c_e_h_2, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)) | m_cell_v_ack(c_e_h_2, s8))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(18997,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)) | m_cell_v_ack(c_e_h_2, s8))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(18998,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)) | m_cell_v_ack(c_e_h_2, s8)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 79.35/51.62 tff(18999,plain,
% 79.35/51.62 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[18998, 1820, 18995])).
% 79.35/51.62 tff(19000,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s8)), introduced(assumption)).
% 79.35/51.62 tff(19001,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19002,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19003,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s7)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19002, 19001])).
% 79.35/51.62 tff(19004,plain,
% 79.35/51.62 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s7)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19003, 3838, 11904])).
% 79.35/51.62 tff(19005,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s7))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19006,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s7))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19007,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s7)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19006, 19005])).
% 79.35/51.62 tff(19008,plain,
% 79.35/51.62 (~node20(c_e_h_2, c_l, s7)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19007, 334, 19004])).
% 79.35/51.62 tff(19009,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s8)), introduced(assumption)).
% 79.35/51.62 tff(19010,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s7)), introduced(assumption)).
% 79.35/51.62 tff(19011,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19012,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19013,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 79.35/51.62 tff(19014,plain,
% 79.35/51.62 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19013, 3838, 11880])).
% 79.35/51.62 tff(19015,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s6))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19016,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s6))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19017,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s6)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s6)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 79.35/51.62 tff(19018,plain,
% 79.35/51.62 (~node20(c_e_h_2, c_l, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19017, 334, 19014])).
% 79.35/51.62 tff(19019,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s5)), introduced(assumption)).
% 79.35/51.62 tff(19020,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19021,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19022,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s4)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s4)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 79.35/51.62 tff(19023,plain,
% 79.35/51.62 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s4)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19022, 3838, 11546])).
% 79.35/51.62 tff(19024,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s4))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19025,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s4))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19026,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s4)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s4)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 79.35/51.62 tff(19027,plain,
% 79.35/51.62 (~node20(c_e_h_2, c_l, s4)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19026, 334, 19023])).
% 79.35/51.62 tff(19028,assumption,(node21(c_e_h_2, c_l, s4, s5)), introduced(assumption)).
% 79.35/51.62 tff(19029,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node21(c_e_h_2, c_l, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node21(c_e_h_2, c_l, s4, s5)))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19030,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node21(c_e_h_2, c_l, s4, s5)))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19031,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node21(c_e_h_2, c_l, s4, s5))),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19030, 19029])).
% 79.35/51.62 tff(19032,plain,
% 79.35/51.62 ($false),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19031, 348, 19028, 19019, 19027])).
% 79.35/51.62 tff(19033,plain,((~node21(c_e_h_2, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.62 tff(19034,plain,
% 79.35/51.62 (~node21(c_e_h_2, c_l, s4, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19033, 19019])).
% 79.35/51.62 tff(19035,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_l, s4, s5) | node22(c_e_h_2, c_l, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_l, s4, s5) | node22(c_e_h_2, c_l, s4, s5))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19036,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_l, s4, s5) | node22(c_e_h_2, c_l, s4, s5))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19037,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_l, s4, s5) | node22(c_e_h_2, c_l, s4, s5)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 79.35/51.62 tff(19038,plain,
% 79.35/51.62 (node21(c_e_h_2, c_l, s4, s5) | node22(c_e_h_2, c_l, s4, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19037, 383, 930])).
% 79.35/51.62 tff(19039,plain,
% 79.35/51.62 (node22(c_e_h_2, c_l, s4, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19038, 19034])).
% 79.35/51.62 tff(19040,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node22(c_e_h_2, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node22(c_e_h_2, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19041,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node22(c_e_h_2, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19042,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | (~node22(c_e_h_2, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19041, 19040])).
% 79.35/51.62 tff(19043,plain,
% 79.35/51.62 ($false),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19042, 437, 19039, 10575, 19019])).
% 79.35/51.62 tff(19044,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.62 tff(19045,plain,
% 79.35/51.62 (~m_and_h_gate_v_out(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19044, 10573])).
% 79.35/51.62 tff(19046,plain,
% 79.35/51.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19047,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19048,plain,
% 79.35/51.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 79.35/51.62 tff(19049,plain,
% 79.35/51.62 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19048, 3838, 11571])).
% 79.35/51.62 tff(19050,plain,
% 79.35/51.62 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s5))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19051,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s5))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19052,plain,
% 79.35/51.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s5)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19051, 19050])).
% 79.35/51.62 tff(19053,plain,
% 79.35/51.62 (~node20(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19052, 334, 19049])).
% 79.35/51.62 tff(19054,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s6)), introduced(assumption)).
% 79.35/51.62 tff(19055,assumption,(~node20(c_e_h_2, c_l, s5)), introduced(assumption)).
% 79.35/51.62 tff(19056,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s5)), introduced(assumption)).
% 79.35/51.62 tff(19057,assumption,(node22(c_e_h_2, c_l, s5, s6)), introduced(assumption)).
% 79.35/51.62 tff(19058,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node22(c_e_h_2, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node22(c_e_h_2, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19059,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node22(c_e_h_2, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19060,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node22(c_e_h_2, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19059, 19058])).
% 79.35/51.62 tff(19061,plain,
% 79.35/51.62 ($false),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19060, 437, 19057, 19056, 19054])).
% 79.35/51.62 tff(19062,plain,((~node22(c_e_h_2, c_l, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.62 tff(19063,plain,
% 79.35/51.62 (~node22(c_e_h_2, c_l, s5, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19062, 19054, 19056])).
% 79.35/51.62 tff(19064,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_l, s5, s6) | node22(c_e_h_2, c_l, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_l, s5, s6) | node22(c_e_h_2, c_l, s5, s6))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19065,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_2, c_l, s5, s6) | node22(c_e_h_2, c_l, s5, s6))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19066,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_2, c_l, s5, s6) | node22(c_e_h_2, c_l, s5, s6)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 79.35/51.62 tff(19067,plain,
% 79.35/51.62 (node21(c_e_h_2, c_l, s5, s6) | node22(c_e_h_2, c_l, s5, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19066, 383, 1343])).
% 79.35/51.62 tff(19068,plain,
% 79.35/51.62 (node21(c_e_h_2, c_l, s5, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19067, 19063])).
% 79.35/51.62 tff(19069,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node21(c_e_h_2, c_l, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node21(c_e_h_2, c_l, s5, s6)))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19070,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node21(c_e_h_2, c_l, s5, s6)))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19071,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | (~node21(c_e_h_2, c_l, s5, s6))),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 79.35/51.62 tff(19072,plain,
% 79.35/51.62 ($false),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19071, 348, 19068, 19055, 19054])).
% 79.35/51.62 tff(19073,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | node20(c_e_h_2, c_l, s5) | m_and_h_gate_v_out(c_e_h_2, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.62 tff(19074,plain,
% 79.35/51.62 ((~m_and_h_gate_v_out(c_e_h_2, c_l, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19073, 19053])).
% 79.35/51.62 tff(19075,plain,
% 79.35/51.62 (~m_and_h_gate_v_out(c_e_h_2, c_l, s6)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19074, 19045])).
% 79.35/51.62 tff(19076,assumption,(node22(c_e_h_2, c_l, s6, s7)), introduced(assumption)).
% 79.35/51.62 tff(19077,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node22(c_e_h_2, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node22(c_e_h_2, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19078,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node22(c_e_h_2, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))),
% 79.35/51.62 inference(quant_inst,[status(thm)],[])).
% 79.35/51.62 tff(19079,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node22(c_e_h_2, c_l, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6)),
% 79.35/51.62 inference(modus_ponens,[status(thm)],[19078, 19077])).
% 79.35/51.62 tff(19080,plain,
% 79.35/51.62 ($false),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19079, 437, 19076, 19075, 19010])).
% 79.35/51.62 tff(19081,plain,((~node22(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.62 tff(19082,plain,
% 79.35/51.62 (~node22(c_e_h_2, c_l, s6, s7)),
% 79.35/51.62 inference(unit_resolution,[status(thm)],[19081, 19010])).
% 79.35/51.62 tff(19083,plain,
% 79.35/51.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_l, s6, s7) | node22(c_e_h_2, c_l, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_l, s6, s7) | node22(c_e_h_2, c_l, s6, s7))),
% 79.35/51.62 inference(rewrite,[status(thm)],[])).
% 79.35/51.62 tff(19084,plain,
% 79.35/51.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_l, s6, s7) | node22(c_e_h_2, c_l, s6, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19085,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_l, s6, s7) | node22(c_e_h_2, c_l, s6, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 79.35/51.63 tff(19086,plain,
% 79.35/51.63 (node21(c_e_h_2, c_l, s6, s7) | node22(c_e_h_2, c_l, s6, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19085, 383, 1685])).
% 79.35/51.63 tff(19087,plain,
% 79.35/51.63 (node21(c_e_h_2, c_l, s6, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19086, 19082])).
% 79.35/51.63 tff(19088,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19089,plain,
% 79.35/51.63 ((node20(c_e_h_2, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node21(c_e_h_2, c_l, s6, s7))) <=> (node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19090,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node21(c_e_h_2, c_l, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7))))),
% 79.35/51.63 inference(monotonicity,[status(thm)],[19089])).
% 79.35/51.63 tff(19091,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node21(c_e_h_2, c_l, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)))),
% 79.35/51.63 inference(transitivity,[status(thm)],[19090, 19088])).
% 79.35/51.63 tff(19092,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7)) | (~node21(c_e_h_2, c_l, s6, s7)))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19093,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s6) | (~node21(c_e_h_2, c_l, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s7))),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 79.35/51.63 tff(19094,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19093, 348, 19087, 19018, 19010])).
% 79.35/51.63 tff(19095,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s7)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19096,assumption,(node22(c_e_h_2, c_l, s7, s8)), introduced(assumption)).
% 79.35/51.63 tff(19097,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node22(c_e_h_2, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node22(c_e_h_2, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19098,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node22(c_e_h_2, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19099,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node22(c_e_h_2, c_l, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19098, 19097])).
% 79.35/51.63 tff(19100,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19099, 437, 19009, 19096, 19095])).
% 79.35/51.63 tff(19101,plain,((~node22(c_e_h_2, c_l, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19102,plain,
% 79.35/51.63 (~node22(c_e_h_2, c_l, s7, s8)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19101, 19009])).
% 79.35/51.63 tff(19103,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_l, s7, s8) | node22(c_e_h_2, c_l, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_l, s7, s8) | node22(c_e_h_2, c_l, s7, s8))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19104,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_l, s7, s8) | node22(c_e_h_2, c_l, s7, s8))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19105,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_l, s7, s8) | node22(c_e_h_2, c_l, s7, s8)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 79.35/51.63 tff(19106,plain,
% 79.35/51.63 (node21(c_e_h_2, c_l, s7, s8) | node22(c_e_h_2, c_l, s7, s8)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19105, 383, 2456])).
% 79.35/51.63 tff(19107,plain,
% 79.35/51.63 (node21(c_e_h_2, c_l, s7, s8)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19106, 19102])).
% 79.35/51.63 tff(19108,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node21(c_e_h_2, c_l, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node21(c_e_h_2, c_l, s7, s8)))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19109,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node21(c_e_h_2, c_l, s7, s8)))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19110,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s8)) | (~node21(c_e_h_2, c_l, s7, s8))),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 79.35/51.63 tff(19111,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19110, 348, 19009, 19107, 19008])).
% 79.35/51.63 tff(19112,plain,(~m_and_h_gate_v_out(c_e_h_2, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19113,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s8)), introduced(assumption)).
% 79.35/51.63 tff(19114,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s8)), introduced(assumption)).
% 79.35/51.63 tff(19115,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19116,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19117,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 79.35/51.63 tff(19118,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19117, 1835, 19114, 19113])).
% 79.35/51.63 tff(19119,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19120,plain,
% 79.35/51.63 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s8)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19119, 19112])).
% 79.35/51.63 tff(19121,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s9)), introduced(assumption)).
% 79.35/51.63 tff(19122,assumption,(node6(c_e_h_2, c_j, s8, s9)), introduced(assumption)).
% 79.35/51.63 tff(19123,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s7))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19124,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19125,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 79.35/51.63 tff(19126,plain,
% 79.35/51.63 (node3(c_e_h_1, c_e_h_2, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19125, 2823, 1791])).
% 79.35/51.63 tff(19127,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s7)) | (~node3(c_e_h_1, c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s7)) | (~node3(c_e_h_1, c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19128,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s7)) | (~node3(c_e_h_1, c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19129,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s7)) | (~node3(c_e_h_1, c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 79.35/51.63 tff(19130,plain,
% 79.35/51.63 ((~m_cell_v_ack(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_1, c_q, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19129, 1808, 19126])).
% 79.35/51.63 tff(19131,plain,
% 79.35/51.63 (~m_cell_v_ack(c_e_h_2, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19130, 18883])).
% 79.35/51.63 tff(19132,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s7)) | m_cell_v_ack(c_e_h_2, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s7)) | m_cell_v_ack(c_e_h_2, s7))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19133,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s7)) | m_cell_v_ack(c_e_h_2, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19134,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s7)) | m_cell_v_ack(c_e_h_2, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 79.35/51.63 tff(19135,plain,
% 79.35/51.63 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19134, 1820, 19131])).
% 79.35/51.63 tff(19136,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19137,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19138,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s7)) | m_and_h_gate_v_out(c_e_h_2, c_l, s7)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 79.35/51.63 tff(19139,plain,
% 79.35/51.63 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s7)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19138, 1835, 19095])).
% 79.35/51.63 tff(19140,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s8)), introduced(assumption)).
% 79.35/51.63 tff(19141,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s6))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19142,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s6))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19143,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s6)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 79.35/51.63 tff(19144,plain,
% 79.35/51.63 (node3(c_e_h_1, c_e_h_2, s6)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19143, 2823, 1791])).
% 79.35/51.63 tff(19145,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s6)) | (~node3(c_e_h_1, c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s6)) | (~node3(c_e_h_1, c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19146,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s6)) | (~node3(c_e_h_1, c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19147,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s6)) | (~node3(c_e_h_1, c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 79.35/51.63 tff(19148,plain,
% 79.35/51.63 ((~m_cell_v_ack(c_e_h_2, s6)) | m_and_h_gate_v_out(c_e_h_1, c_q, s6)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19147, 1808, 19144])).
% 79.35/51.63 tff(19149,plain,
% 79.35/51.63 (~m_cell_v_ack(c_e_h_2, s6)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19148, 18877])).
% 79.35/51.63 tff(19150,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)) | m_cell_v_ack(c_e_h_2, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)) | m_cell_v_ack(c_e_h_2, s6))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19151,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)) | m_cell_v_ack(c_e_h_2, s6))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19152,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)) | m_cell_v_ack(c_e_h_2, s6)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 79.35/51.63 tff(19153,plain,
% 79.35/51.63 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19152, 1820, 19149])).
% 79.35/51.63 tff(19154,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s5))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19155,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s5))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19156,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s5)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19155, 19154])).
% 79.35/51.63 tff(19157,plain,
% 79.35/51.63 (node3(c_e_h_1, c_e_h_2, s5)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19156, 2823, 1791])).
% 79.35/51.63 tff(19158,plain,
% 79.35/51.63 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s5)) | (~node3(c_e_h_1, c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s5)) | (~node3(c_e_h_1, c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19159,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s5)) | (~node3(c_e_h_1, c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19160,plain,
% 79.35/51.63 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s5)) | (~node3(c_e_h_1, c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 79.35/51.63 tff(19161,plain,
% 79.35/51.63 ((~m_cell_v_ack(c_e_h_2, s5)) | m_and_h_gate_v_out(c_e_h_1, c_q, s5)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19160, 1808, 19157])).
% 79.35/51.63 tff(19162,plain,
% 79.35/51.63 (~m_cell_v_ack(c_e_h_2, s5)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19161, 18844])).
% 79.35/51.63 tff(19163,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)) | m_cell_v_ack(c_e_h_2, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)) | m_cell_v_ack(c_e_h_2, s5))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19164,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)) | m_cell_v_ack(c_e_h_2, s5))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19165,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)) | m_cell_v_ack(c_e_h_2, s5)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 79.35/51.63 tff(19166,plain,
% 79.35/51.63 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19165, 1820, 19162])).
% 79.35/51.63 tff(19167,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s5)), introduced(assumption)).
% 79.35/51.63 tff(19168,plain,
% 79.35/51.63 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19169,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19170,plain,
% 79.35/51.63 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5)),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19169, 19168])).
% 79.35/51.63 tff(19171,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19170, 1835, 19056, 19167])).
% 79.35/51.63 tff(19172,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)) | m_and_h_gate_v_out(c_e_h_2, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19173,plain,
% 79.35/51.63 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19172, 19045])).
% 79.35/51.63 tff(19174,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s5)), introduced(assumption)).
% 79.35/51.63 tff(19175,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s6)), introduced(assumption)).
% 79.35/51.63 tff(19176,assumption,(node6(c_e_h_2, c_j, s5, s6)), introduced(assumption)).
% 79.35/51.63 tff(19177,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19178,plain,
% 79.35/51.63 (((~node6(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.63 inference(rewrite,[status(thm)],[])).
% 79.35/51.63 tff(19179,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6))))),
% 79.35/51.63 inference(monotonicity,[status(thm)],[19178])).
% 79.35/51.63 tff(19180,plain,
% 79.35/51.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.63 inference(transitivity,[status(thm)],[19179, 19177])).
% 79.35/51.63 tff(19181,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5))),
% 79.35/51.63 inference(quant_inst,[status(thm)],[])).
% 79.35/51.63 tff(19182,plain,
% 79.35/51.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | (~node6(c_e_h_2, c_j, s5, s6))),
% 79.35/51.63 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 79.35/51.63 tff(19183,plain,
% 79.35/51.63 ($false),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19182, 1851, 19174, 19175, 19176])).
% 79.35/51.63 tff(19184,plain,((~node6(c_e_h_2, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.63 tff(19185,plain,
% 79.35/51.63 (~node6(c_e_h_2, c_j, s5, s6)),
% 79.35/51.63 inference(unit_resolution,[status(thm)],[19184, 19175, 19174])).
% 79.35/51.64 tff(19186,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s5)), introduced(assumption)).
% 79.35/51.64 tff(19187,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s5)), introduced(assumption)).
% 79.35/51.64 tff(19188,assumption,(node5(c_e_h_2, c_j, s5, s6)), introduced(assumption)).
% 79.35/51.64 tff(19189,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19190,plain,
% 79.35/51.64 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19191,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6))))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19190])).
% 79.35/51.64 tff(19192,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19191, 19189])).
% 79.35/51.64 tff(19193,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19194,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | (~node5(c_e_h_2, c_j, s5, s6))),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 79.35/51.64 tff(19195,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19194, 1888, 19175, 19188, 19187, 19186])).
% 79.35/51.64 tff(19196,plain,((~node5(c_e_h_2, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.64 tff(19197,plain,
% 79.35/51.64 (~node5(c_e_h_2, c_j, s5, s6)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19196, 19175, 19187, 19186])).
% 79.35/51.64 tff(19198,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19199,plain,
% 79.35/51.64 ((node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19200,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6)))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19199])).
% 79.35/51.64 tff(19201,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19200, 19198])).
% 79.35/51.64 tff(19202,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6) | (~trans(s5, s6)))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19203,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6)),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19202, 19201])).
% 79.35/51.64 tff(19204,plain,
% 79.35/51.64 (node6(c_e_h_2, c_j, s5, s6) | node5(c_e_h_2, c_j, s5, s6)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19203, 1870, 1343])).
% 79.35/51.64 tff(19205,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19204, 19197, 19185])).
% 79.35/51.64 tff(19206,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | m_or_h_gate_v_in1(c_e_h_2, c_j, s5) | m_or_h_gate_v_out(c_e_h_2, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.64 tff(19207,plain,
% 79.35/51.64 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s6)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s5) | m_or_h_gate_v_out(c_e_h_2, c_j, s5)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19206, 19173])).
% 79.35/51.64 tff(19208,plain,
% 79.35/51.64 (~m_or_h_gate_v_out(c_e_h_2, c_j, s6)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19207, 10616, 19166])).
% 79.35/51.64 tff(19209,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s6)), introduced(assumption)).
% 79.35/51.64 tff(19210,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s6)), introduced(assumption)).
% 79.35/51.64 tff(19211,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s6)), introduced(assumption)).
% 79.35/51.64 tff(19212,plain,
% 79.35/51.64 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19213,plain,
% 79.35/51.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19214,plain,
% 79.35/51.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6)),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 79.35/51.64 tff(19215,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19214, 1835, 19211, 19210])).
% 79.35/51.64 tff(19216,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)) | m_and_h_gate_v_out(c_e_h_2, c_l, s6)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.64 tff(19217,plain,
% 79.35/51.64 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s6)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19216, 19075])).
% 79.35/51.64 tff(19218,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s6)), introduced(assumption)).
% 79.35/51.64 tff(19219,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s7)), introduced(assumption)).
% 79.35/51.64 tff(19220,assumption,(node6(c_e_h_2, c_j, s6, s7)), introduced(assumption)).
% 79.35/51.64 tff(19221,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19222,plain,
% 79.35/51.64 (((~node6(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6)) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19223,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7))))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19222])).
% 79.35/51.64 tff(19224,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7)))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19223, 19221])).
% 79.35/51.64 tff(19225,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19226,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6) | (~node6(c_e_h_2, c_j, s6, s7))),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 79.35/51.64 tff(19227,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19226, 1851, 19219, 19218, 19220])).
% 79.35/51.64 tff(19228,plain,((~node6(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.64 tff(19229,plain,
% 79.35/51.64 (~node6(c_e_h_2, c_j, s6, s7)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19228, 19219, 19218])).
% 79.35/51.64 tff(19230,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19231,plain,
% 79.35/51.64 ((node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7) | (~trans(s6, s7))) <=> ((~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19232,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7)))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19231])).
% 79.35/51.64 tff(19233,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19232, 19230])).
% 79.35/51.64 tff(19234,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7) | (~trans(s6, s7)))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19235,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s6, s7)) | node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7)),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 79.35/51.64 tff(19236,plain,
% 79.35/51.64 (node6(c_e_h_2, c_j, s6, s7) | node5(c_e_h_2, c_j, s6, s7)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19235, 1870, 1685])).
% 79.35/51.64 tff(19237,plain,
% 79.35/51.64 (node5(c_e_h_2, c_j, s6, s7)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19236, 19229])).
% 79.35/51.64 tff(19238,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19239,plain,
% 79.35/51.64 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s6) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19240,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s6) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6)))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19239])).
% 79.35/51.64 tff(19241,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s6) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19240, 19238])).
% 79.35/51.64 tff(19242,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s6) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19243,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | (~node5(c_e_h_2, c_j, s6, s7)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s6)),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 79.35/51.64 tff(19244,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19243, 1888, 19219, 19237, 19217, 19209])).
% 79.35/51.64 tff(19245,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s7)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s6) | m_or_h_gate_v_out(c_e_h_2, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.64 tff(19246,plain,
% 79.35/51.64 (~m_or_h_gate_v_out(c_e_h_2, c_j, s7)),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19245, 19208, 19153])).
% 79.35/51.64 tff(19247,assumption,(node6(c_e_h_2, c_j, s7, s8)), introduced(assumption)).
% 79.35/51.64 tff(19248,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s7)), introduced(assumption)).
% 79.35/51.64 tff(19249,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19250,plain,
% 79.35/51.64 (((~node6(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8)))),
% 79.35/51.64 inference(rewrite,[status(thm)],[])).
% 79.35/51.64 tff(19251,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8))))),
% 79.35/51.64 inference(monotonicity,[status(thm)],[19250])).
% 79.35/51.64 tff(19252,plain,
% 79.35/51.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8)))),
% 79.35/51.64 inference(transitivity,[status(thm)],[19251, 19249])).
% 79.35/51.64 tff(19253,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))),
% 79.35/51.64 inference(quant_inst,[status(thm)],[])).
% 79.35/51.64 tff(19254,plain,
% 79.35/51.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node6(c_e_h_2, c_j, s7, s8))),
% 79.35/51.64 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 79.35/51.64 tff(19255,plain,
% 79.35/51.64 ($false),
% 79.35/51.64 inference(unit_resolution,[status(thm)],[19254, 1851, 19248, 19140, 19247])).
% 79.35/51.65 tff(19256,plain,((~node6(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19257,plain,
% 79.35/51.65 ((~node6(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8))),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19256, 19246])).
% 79.35/51.65 tff(19258,plain,
% 79.35/51.65 (~node6(c_e_h_2, c_j, s7, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19257, 19140])).
% 79.35/51.65 tff(19259,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19260,plain,
% 79.35/51.65 ((node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8) | (~trans(s7, s8))) <=> ((~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19261,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8)))),
% 79.35/51.65 inference(monotonicity,[status(thm)],[19260])).
% 79.35/51.65 tff(19262,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8))),
% 79.35/51.65 inference(transitivity,[status(thm)],[19261, 19259])).
% 79.35/51.65 tff(19263,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8) | (~trans(s7, s8)))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19264,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s7, s8)) | node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19263, 19262])).
% 79.35/51.65 tff(19265,plain,
% 79.35/51.65 (node6(c_e_h_2, c_j, s7, s8) | node5(c_e_h_2, c_j, s7, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19264, 1870, 2456])).
% 79.35/51.65 tff(19266,plain,
% 79.35/51.65 (node5(c_e_h_2, c_j, s7, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19265, 19258])).
% 79.35/51.65 tff(19267,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19268,plain,
% 79.35/51.65 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s7) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~node5(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19269,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s7) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~node5(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7)))),
% 79.35/51.65 inference(monotonicity,[status(thm)],[19268])).
% 79.35/51.65 tff(19270,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s7) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~node5(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7))),
% 79.35/51.65 inference(transitivity,[status(thm)],[19269, 19267])).
% 79.35/51.65 tff(19271,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s7) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~node5(c_e_h_2, c_j, s7, s8)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19272,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s7) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s8)) | (~node5(c_e_h_2, c_j, s7, s8)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s7)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 79.35/51.65 tff(19273,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19272, 1888, 19140, 19266, 19139, 19135])).
% 79.35/51.65 tff(19274,plain,(~m_or_h_gate_v_out(c_e_h_2, c_j, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19275,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9)))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19276,plain,
% 79.35/51.65 (((~node6(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9)))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19277,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9))))),
% 79.35/51.65 inference(monotonicity,[status(thm)],[19276])).
% 79.35/51.65 tff(19278,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9)))),
% 79.35/51.65 inference(transitivity,[status(thm)],[19277, 19275])).
% 79.35/51.65 tff(19279,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19280,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s8) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | (~node6(c_e_h_2, c_j, s8, s9))),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19279, 19278])).
% 79.35/51.65 tff(19281,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19280, 1851, 19121, 19274, 19122])).
% 79.35/51.65 tff(19282,plain,((~node6(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9))), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19283,plain,
% 79.35/51.65 (~node6(c_e_h_2, c_j, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19282, 19121])).
% 79.35/51.65 tff(19284,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19285,plain,
% 79.35/51.65 ((node6(c_e_h_2, c_j, s8, s9) | node5(c_e_h_2, c_j, s8, s9) | (~trans(s8, s9))) <=> ((~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19286,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s8, s9) | node5(c_e_h_2, c_j, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9)))),
% 79.35/51.65 inference(monotonicity,[status(thm)],[19285])).
% 79.35/51.65 tff(19287,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s8, s9) | node5(c_e_h_2, c_j, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9))),
% 79.35/51.65 inference(transitivity,[status(thm)],[19286, 19284])).
% 79.35/51.65 tff(19288,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s8, s9) | node5(c_e_h_2, c_j, s8, s9) | (~trans(s8, s9)))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19289,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19288, 19287])).
% 79.35/51.65 tff(19290,plain,
% 79.35/51.65 (node5(c_e_h_2, c_j, s8, s9) | node6(c_e_h_2, c_j, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19289, 1870, 3713])).
% 79.35/51.65 tff(19291,plain,
% 79.35/51.65 (node5(c_e_h_2, c_j, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19290, 19283])).
% 79.35/51.65 tff(19292,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19293,plain,
% 79.35/51.65 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s8) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19294,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s8) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8)))),
% 79.35/51.65 inference(monotonicity,[status(thm)],[19293])).
% 79.35/51.65 tff(19295,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s8) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8))),
% 79.35/51.65 inference(transitivity,[status(thm)],[19294, 19292])).
% 79.35/51.65 tff(19296,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s8) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19297,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8) | (~node5(c_e_h_2, c_j, s8, s9)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s8)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 79.35/51.65 tff(19298,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19297, 1888, 19121, 19291, 19120, 19000])).
% 79.35/51.65 tff(19299,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s9)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19300,plain,
% 79.35/51.65 (~m_or_h_gate_v_out(c_e_h_2, c_j, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19299, 18999])).
% 79.35/51.65 tff(19301,plain,
% 79.35/51.65 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[18910, 397, 14754])).
% 79.35/51.65 tff(19302,plain,
% 79.35/51.65 (~node20(c_e_h_1, c_q, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[18914, 22, 19301])).
% 79.35/51.65 tff(19303,assumption,(node22(c_e_h_1, c_q, s8, s9)), introduced(assumption)).
% 79.35/51.65 tff(19304,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[18969, 437, 18951, 18966, 19303])).
% 79.35/51.65 tff(19305,plain,((~node22(c_e_h_1, c_q, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19306,plain,
% 79.35/51.65 (~node22(c_e_h_1, c_q, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19305, 18951, 18966])).
% 79.35/51.65 tff(19307,plain,
% 79.35/51.65 (~node21(c_e_h_1, c_q, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[18959, 18951, 18949])).
% 79.35/51.65 tff(19308,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[18964, 19307, 19306])).
% 79.35/51.65 tff(19309,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s9)) | node20(c_e_h_1, c_q, s8) | m_and_h_gate_v_out(c_e_h_1, c_q, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19310,plain,
% 79.35/51.65 (~m_and_h_gate_v_out(c_e_h_1, c_q, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19309, 19302, 18907])).
% 79.35/51.65 tff(19311,plain,
% 79.35/51.65 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19312,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s9))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19313,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s9)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19312, 19311])).
% 79.35/51.65 tff(19314,plain,
% 79.35/51.65 (node3(c_e_h_1, c_e_h_2, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19313, 2823, 1791])).
% 79.35/51.65 tff(19315,plain,
% 79.35/51.65 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s9)) | (~node3(c_e_h_1, c_e_h_2, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s9)) | (~node3(c_e_h_1, c_e_h_2, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19316,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s9)) | (~node3(c_e_h_1, c_e_h_2, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19317,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s9)) | (~node3(c_e_h_1, c_e_h_2, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19316, 19315])).
% 79.35/51.65 tff(19318,plain,
% 79.35/51.65 ((~m_cell_v_ack(c_e_h_2, s9)) | m_and_h_gate_v_out(c_e_h_1, c_q, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19317, 1808, 19314])).
% 79.35/51.65 tff(19319,plain,
% 79.35/51.65 (~m_cell_v_ack(c_e_h_2, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19318, 19310])).
% 79.35/51.65 tff(19320,plain,
% 79.35/51.65 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)) | m_cell_v_ack(c_e_h_2, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)) | m_cell_v_ack(c_e_h_2, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19321,plain,
% 79.35/51.65 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)) | m_cell_v_ack(c_e_h_2, s9))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19322,plain,
% 79.35/51.65 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)) | m_cell_v_ack(c_e_h_2, s9)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 79.35/51.65 tff(19323,plain,
% 79.35/51.65 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19322, 1820, 19319])).
% 79.35/51.65 tff(19324,plain,
% 79.35/51.65 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19325,plain,
% 79.35/51.65 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19326,plain,
% 79.35/51.65 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 79.35/51.65 tff(19327,plain,
% 79.35/51.65 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19326, 3838, 16468])).
% 79.35/51.65 tff(19328,plain,
% 79.35/51.65 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s8))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19329,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s8))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19330,plain,
% 79.35/51.65 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s8)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s8)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19329, 19328])).
% 79.35/51.65 tff(19331,plain,
% 79.35/51.65 (~node20(c_e_h_2, c_l, s8)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19330, 334, 19327])).
% 79.35/51.65 tff(19332,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s9)), introduced(assumption)).
% 79.35/51.65 tff(19333,assumption,(~node20(c_e_h_2, c_l, s8)), introduced(assumption)).
% 79.35/51.65 tff(19334,assumption,(node21(c_e_h_2, c_l, s8, s9)), introduced(assumption)).
% 79.35/51.65 tff(19335,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node21(c_e_h_2, c_l, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node21(c_e_h_2, c_l, s8, s9)))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19336,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node21(c_e_h_2, c_l, s8, s9)))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19337,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node21(c_e_h_2, c_l, s8, s9))),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 79.35/51.65 tff(19338,plain,
% 79.35/51.65 ($false),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19337, 348, 19334, 19332, 19333])).
% 79.35/51.65 tff(19339,plain,((~node21(c_e_h_2, c_l, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | node20(c_e_h_2, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.65 tff(19340,plain,
% 79.35/51.65 (~node21(c_e_h_2, c_l, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19339, 19332, 19333])).
% 79.35/51.65 tff(19341,plain,
% 79.35/51.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_l, s8, s9) | node22(c_e_h_2, c_l, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_l, s8, s9) | node22(c_e_h_2, c_l, s8, s9))),
% 79.35/51.65 inference(rewrite,[status(thm)],[])).
% 79.35/51.65 tff(19342,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_l, s8, s9) | node22(c_e_h_2, c_l, s8, s9))),
% 79.35/51.65 inference(quant_inst,[status(thm)],[])).
% 79.35/51.65 tff(19343,plain,
% 79.35/51.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_l, s8, s9) | node22(c_e_h_2, c_l, s8, s9)),
% 79.35/51.65 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 79.35/51.65 tff(19344,plain,
% 79.35/51.65 (node21(c_e_h_2, c_l, s8, s9) | node22(c_e_h_2, c_l, s8, s9)),
% 79.35/51.65 inference(unit_resolution,[status(thm)],[19343, 383, 3713])).
% 79.35/51.65 tff(19345,plain,
% 79.35/51.65 (node22(c_e_h_2, c_l, s8, s9)),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19344, 19340])).
% 79.35/51.66 tff(19346,plain,
% 79.35/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node22(c_e_h_2, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node22(c_e_h_2, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))),
% 79.35/51.66 inference(rewrite,[status(thm)],[])).
% 79.35/51.66 tff(19347,plain,
% 79.35/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node22(c_e_h_2, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8))),
% 79.35/51.66 inference(quant_inst,[status(thm)],[])).
% 79.35/51.66 tff(19348,plain,
% 79.35/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | (~node22(c_e_h_2, c_l, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8)),
% 79.35/51.66 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 79.35/51.66 tff(19349,plain,
% 79.35/51.66 ($false),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19348, 437, 19345, 19332, 19114])).
% 79.35/51.66 tff(19350,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8) | node20(c_e_h_2, c_l, s8)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.66 tff(19351,plain,
% 79.35/51.66 ((~m_and_h_gate_v_out(c_e_h_2, c_l, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s8)),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19350, 19331])).
% 79.35/51.66 tff(19352,plain,
% 79.35/51.66 (~m_and_h_gate_v_out(c_e_h_2, c_l, s9)),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19351, 19112])).
% 79.35/51.66 tff(19353,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s9)), introduced(assumption)).
% 79.35/51.66 tff(19354,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s9)), introduced(assumption)).
% 79.35/51.66 tff(19355,plain,
% 79.35/51.66 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))),
% 79.35/51.66 inference(rewrite,[status(thm)],[])).
% 79.35/51.66 tff(19356,plain,
% 79.35/51.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))),
% 79.35/51.66 inference(quant_inst,[status(thm)],[])).
% 79.35/51.66 tff(19357,plain,
% 79.35/51.66 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9)),
% 79.35/51.66 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 79.35/51.66 tff(19358,plain,
% 79.35/51.66 ($false),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19357, 1835, 19354, 19353])).
% 79.35/51.66 tff(19359,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 79.35/51.66 tff(19360,plain,
% 79.35/51.66 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)),
% 79.35/51.66 inference(unit_resolution,[status(thm)],[19359, 19352])).
% 79.35/51.66 tff(19361,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s9)), introduced(assumption)).
% 79.35/51.66 tff(19362,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s10)), introduced(assumption)).
% 79.35/51.66 tff(19363,assumption,(node6(c_e_h_2, c_j, s9, s10)), introduced(assumption)).
% 79.35/51.66 tff(19364,plain,
% 79.35/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10)))),
% 79.35/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19365,plain,
% 79.40/51.66 (((~node6(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10)))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19366,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10))))),
% 79.40/51.66 inference(monotonicity,[status(thm)],[19365])).
% 79.40/51.66 tff(19367,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10)))),
% 79.40/51.66 inference(transitivity,[status(thm)],[19366, 19364])).
% 79.40/51.66 tff(19368,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19369,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | (~node6(c_e_h_2, c_j, s9, s10))),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 79.40/51.66 tff(19370,plain,
% 79.40/51.66 ($false),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19369, 1851, 19361, 19363, 19362])).
% 79.40/51.66 tff(19371,plain,((~node6(c_e_h_2, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.66 tff(19372,plain,
% 79.40/51.66 (~node6(c_e_h_2, c_j, s9, s10)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19371, 19362, 19361])).
% 79.40/51.66 tff(19373,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)), introduced(assumption)).
% 79.40/51.66 tff(19374,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s9)), introduced(assumption)).
% 79.40/51.66 tff(19375,assumption,(node5(c_e_h_2, c_j, s9, s10)), introduced(assumption)).
% 79.40/51.66 tff(19376,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19377,plain,
% 79.40/51.66 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10))) <=> ((~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19378,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9)))),
% 79.40/51.66 inference(monotonicity,[status(thm)],[19377])).
% 79.40/51.66 tff(19379,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(transitivity,[status(thm)],[19378, 19376])).
% 79.40/51.66 tff(19380,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19381,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 79.40/51.66 tff(19382,plain,
% 79.40/51.66 ($false),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19381, 1888, 19375, 19362, 19373, 19374])).
% 79.40/51.66 tff(19383,plain,((~node5(c_e_h_2, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.66 tff(19384,plain,
% 79.40/51.66 (~node5(c_e_h_2, c_j, s9, s10)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19383, 19362, 19374, 19373])).
% 79.40/51.66 tff(19385,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19386,plain,
% 79.40/51.66 ((node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10) | (~trans(s9, s10))) <=> ((~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19387,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10)))),
% 79.40/51.66 inference(monotonicity,[status(thm)],[19386])).
% 79.40/51.66 tff(19388,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10))),
% 79.40/51.66 inference(transitivity,[status(thm)],[19387, 19385])).
% 79.40/51.66 tff(19389,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10) | (~trans(s9, s10)))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19390,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19389, 19388])).
% 79.40/51.66 tff(19391,plain,
% 79.40/51.66 (node6(c_e_h_2, c_j, s9, s10) | node5(c_e_h_2, c_j, s9, s10)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19390, 1870, 6039])).
% 79.40/51.66 tff(19392,plain,
% 79.40/51.66 ($false),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19391, 19384, 19372])).
% 79.40/51.66 tff(19393,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | m_or_h_gate_v_out(c_e_h_2, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.66 tff(19394,plain,
% 79.40/51.66 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s10)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s9) | m_or_h_gate_v_out(c_e_h_2, c_j, s9)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19393, 19360])).
% 79.40/51.66 tff(19395,plain,
% 79.40/51.66 (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19394, 19323, 19300])).
% 79.40/51.66 tff(19396,plain,
% 79.40/51.66 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19397,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19398,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19397, 19396])).
% 79.40/51.66 tff(19399,plain,
% 79.40/51.66 (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19398, 1740, 19300])).
% 79.40/51.66 tff(19400,plain,
% 79.40/51.66 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19401,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19402,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_or_h_gate_v_out(c_e_h_2, c_j, s8)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 79.40/51.66 tff(19403,plain,
% 79.40/51.66 (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19402, 1740, 19274])).
% 79.40/51.66 tff(19404,plain,
% 79.40/51.66 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19405,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19406,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | m_or_h_gate_v_out(c_e_h_2, c_j, s7)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 79.40/51.66 tff(19407,plain,
% 79.40/51.66 (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19406, 1740, 19246])).
% 79.40/51.66 tff(19408,plain,
% 79.40/51.66 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19409,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19410,plain,
% 79.40/51.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | m_or_h_gate_v_out(c_e_h_2, c_j, s6)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 79.40/51.66 tff(19411,plain,
% 79.40/51.66 (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19410, 1740, 19208])).
% 79.40/51.66 tff(19412,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.66 tff(19413,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s6)), introduced(assumption)).
% 79.40/51.66 tff(19414,assumption,(node18(c_e_h_2, c_h, s6, s7)), introduced(assumption)).
% 79.40/51.66 tff(19415,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6) | (~node18(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6) | (~node18(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19416,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6) | (~node18(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19417,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6) | (~node18(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 79.40/51.66 tff(19418,plain,
% 79.40/51.66 ($false),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19417, 481, 19412, 19413, 19414])).
% 79.40/51.66 tff(19419,plain,((~node18(c_e_h_2, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.66 tff(19420,plain,
% 79.40/51.66 (~node18(c_e_h_2, c_h, s6, s7)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19419, 19412, 19413])).
% 79.40/51.66 tff(19421,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_2, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19422,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s6, s7)) | node19(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19423,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s6, s7)) | node19(c_e_h_2, c_h, s6, s7)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19422, 19421])).
% 79.40/51.66 tff(19424,plain,
% 79.40/51.66 (node19(c_e_h_2, c_h, s6, s7)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19423, 494, 1685])).
% 79.40/51.66 tff(19425,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19426,plain,
% 79.40/51.66 ((node17(c_e_h_2, c_h, s6) | node18(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7))) <=> (node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19427,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s6) | node18(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.66 inference(monotonicity,[status(thm)],[19426])).
% 79.40/51.66 tff(19428,plain,
% 79.40/51.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s6) | node18(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7))),
% 79.40/51.66 inference(transitivity,[status(thm)],[19427, 19425])).
% 79.40/51.66 tff(19429,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s6) | node18(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.66 inference(quant_inst,[status(thm)],[])).
% 79.40/51.66 tff(19430,plain,
% 79.40/51.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node18(c_e_h_2, c_h, s6, s7)),
% 79.40/51.66 inference(modus_ponens,[status(thm)],[19429, 19428])).
% 79.40/51.66 tff(19431,plain,
% 79.40/51.66 (node17(c_e_h_2, c_h, s6) | node18(c_e_h_2, c_h, s6, s7)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19430, 508, 19424])).
% 79.40/51.66 tff(19432,plain,
% 79.40/51.66 (node17(c_e_h_2, c_h, s6)),
% 79.40/51.66 inference(unit_resolution,[status(thm)],[19431, 19420])).
% 79.40/51.66 tff(19433,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s6)), introduced(assumption)).
% 79.40/51.66 tff(19434,plain,
% 79.40/51.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19435,plain,
% 79.40/51.66 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~node17(c_e_h_2, c_h, s6))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.66 inference(rewrite,[status(thm)],[])).
% 79.40/51.66 tff(19436,plain,
% 79.40/51.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~node17(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))))),
% 79.40/51.66 inference(monotonicity,[status(thm)],[19435])).
% 79.40/51.66 tff(19437,plain,
% 79.40/51.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~node17(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(transitivity,[status(thm)],[19436, 19434])).
% 79.40/51.67 tff(19438,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19439,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 79.40/51.67 tff(19440,plain,
% 79.40/51.67 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19439, 541, 19433])).
% 79.40/51.67 tff(19441,plain,
% 79.40/51.67 (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19440, 19432])).
% 79.40/51.67 tff(19442,assumption,(node15(c_e_h_2, c_h, s6, s7)), introduced(assumption)).
% 79.40/51.67 tff(19443,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | (~node15(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | (~node15(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19444,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | (~node15(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19445,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | (~node15(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 79.40/51.67 tff(19446,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19445, 612, 19412, 19413, 19442])).
% 79.40/51.67 tff(19447,plain,((~node15(c_e_h_2, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19448,plain,
% 79.40/51.67 (~node15(c_e_h_2, c_h, s6, s7)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19447, 19412, 19413])).
% 79.40/51.67 tff(19449,assumption,(node17(c_e_h_2, c_h, s6)), introduced(assumption)).
% 79.40/51.67 tff(19450,assumption,(node16(c_e_h_2, c_h, s6)), introduced(assumption)).
% 79.40/51.67 tff(19451,plain,
% 79.40/51.67 (m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19439, 541, 19449])).
% 79.40/51.67 tff(19452,plain,
% 79.40/51.67 (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19451, 19433])).
% 79.40/51.67 tff(19453,plain,
% 79.40/51.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | m_c_h_element_v_in2(c_e_h_2, c_h, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | m_c_h_element_v_in2(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19454,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | m_c_h_element_v_in2(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19455,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s6)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | m_c_h_element_v_in2(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 79.40/51.67 tff(19456,plain,
% 79.40/51.67 (m_c_h_element_v_in1(c_e_h_2, c_h, s6) | m_c_h_element_v_in2(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19455, 559, 19450])).
% 79.40/51.67 tff(19457,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19456, 19452, 19433])).
% 79.40/51.67 tff(19458,plain,(m_c_h_element_v_in2(c_e_h_2, c_h, s6) | (~node16(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19459,plain,
% 79.40/51.67 (m_c_h_element_v_in2(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19458, 19450, 19449])).
% 79.40/51.67 tff(19460,plain,
% 79.40/51.67 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19461,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19462,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19461, 19460])).
% 79.40/51.67 tff(19463,plain,
% 79.40/51.67 (m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19462, 1172, 19449])).
% 79.40/51.67 tff(19464,plain,
% 79.40/51.67 (m_c_h_element_v_in1(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19463, 19459])).
% 79.40/51.67 tff(19465,plain,
% 79.40/51.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19466,plain,
% 79.40/51.67 (((~node16(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19467,plain,
% 79.40/51.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6))))),
% 79.40/51.67 inference(monotonicity,[status(thm)],[19466])).
% 79.40/51.67 tff(19468,plain,
% 79.40/51.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(transitivity,[status(thm)],[19467, 19465])).
% 79.40/51.67 tff(19469,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19470,plain,
% 79.40/51.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6)) | (~node16(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19469, 19468])).
% 79.40/51.67 tff(19471,plain,
% 79.40/51.67 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s6)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s6))),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19470, 1192, 19450])).
% 79.40/51.67 tff(19472,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19471, 19464, 19459])).
% 79.40/51.67 tff(19473,plain,((~node16(c_e_h_2, c_h, s6)) | (~node17(c_e_h_2, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19474,plain,
% 79.40/51.67 (~node16(c_e_h_2, c_h, s6)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19473, 19432])).
% 79.40/51.67 tff(19475,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19476,plain,
% 79.40/51.67 ((node16(c_e_h_2, c_h, s6) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7))) <=> (node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19477,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s6) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.67 inference(monotonicity,[status(thm)],[19476])).
% 79.40/51.67 tff(19478,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s6) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7))),
% 79.40/51.67 inference(transitivity,[status(thm)],[19477, 19475])).
% 79.40/51.67 tff(19479,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s6) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7) | (~node19(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19480,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s6) | (~node19(c_e_h_2, c_h, s6, s7)) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7)),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 79.40/51.67 tff(19481,plain,
% 79.40/51.67 (node16(c_e_h_2, c_h, s6) | node14(c_e_h_2, c_h, s6, s7) | node15(c_e_h_2, c_h, s6, s7)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19480, 594, 19424])).
% 79.40/51.67 tff(19482,plain,
% 79.40/51.67 (node14(c_e_h_2, c_h, s6, s7)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19481, 19474, 19448])).
% 79.40/51.67 tff(19483,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s6)), introduced(assumption)).
% 79.40/51.67 tff(19484,assumption,(node14(c_e_h_2, c_h, s6, s7)), introduced(assumption)).
% 79.40/51.67 tff(19485,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19486,plain,
% 79.40/51.67 (((~node14(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19487,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7))))),
% 79.40/51.67 inference(monotonicity,[status(thm)],[19486])).
% 79.40/51.67 tff(19488,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7)))),
% 79.40/51.67 inference(transitivity,[status(thm)],[19487, 19485])).
% 79.40/51.67 tff(19489,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s6, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19490,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6) | (~node14(c_e_h_2, c_h, s6, s7))),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19489, 19488])).
% 79.40/51.67 tff(19491,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19490, 575, 19412, 19484, 19483])).
% 79.40/51.67 tff(19492,plain,((~node14(c_e_h_2, c_h, s6, s7)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19493,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19492, 19482, 19441, 19412])).
% 79.40/51.67 tff(19494,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19495,plain,
% 79.40/51.67 (~m_c_h_element_v_out(c_e_h_2, c_h, s7)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19494, 10695, 19411])).
% 79.40/51.67 tff(19496,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.67 tff(19497,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.67 tff(19498,assumption,(node18(c_e_h_2, c_h, s7, s8)), introduced(assumption)).
% 79.40/51.67 tff(19499,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7) | (~node18(c_e_h_2, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7) | (~node18(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19500,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7) | (~node18(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.67 inference(quant_inst,[status(thm)],[])).
% 79.40/51.67 tff(19501,plain,
% 79.40/51.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7) | (~node18(c_e_h_2, c_h, s7, s8))),
% 79.40/51.67 inference(modus_ponens,[status(thm)],[19500, 19499])).
% 79.40/51.67 tff(19502,plain,
% 79.40/51.67 ($false),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19501, 481, 19496, 19497, 19498])).
% 79.40/51.67 tff(19503,plain,((~node18(c_e_h_2, c_h, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.67 tff(19504,plain,
% 79.40/51.67 (~node18(c_e_h_2, c_h, s7, s8)),
% 79.40/51.67 inference(unit_resolution,[status(thm)],[19503, 19497, 19496])).
% 79.40/51.67 tff(19505,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.67 tff(19506,assumption,(node14(c_e_h_2, c_h, s7, s8)), introduced(assumption)).
% 79.40/51.67 tff(19507,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19508,plain,
% 79.40/51.67 (((~node14(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.67 inference(rewrite,[status(thm)],[])).
% 79.40/51.67 tff(19509,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8))))),
% 79.40/51.67 inference(monotonicity,[status(thm)],[19508])).
% 79.40/51.67 tff(19510,plain,
% 79.40/51.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.67 inference(transitivity,[status(thm)],[19509, 19507])).
% 79.40/51.68 tff(19511,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19512,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node14(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19511, 19510])).
% 79.40/51.68 tff(19513,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19512, 575, 19496, 19506, 19505])).
% 79.40/51.68 tff(19514,plain,((~node14(c_e_h_2, c_h, s7, s8)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19515,plain,
% 79.40/51.68 (~node14(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19514, 19496, 19505])).
% 79.40/51.68 tff(19516,plain,
% 79.40/51.68 (~node18(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19503, 19496, 19497])).
% 79.40/51.68 tff(19517,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_h, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19518,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s7, s8)) | node19(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19519,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s7, s8)) | node19(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19518, 19517])).
% 79.40/51.68 tff(19520,plain,
% 79.40/51.68 (node19(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19519, 494, 2456])).
% 79.40/51.68 tff(19521,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s7) | node18(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s7) | node18(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19522,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s7) | node18(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19523,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s7) | node18(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 79.40/51.68 tff(19524,plain,
% 79.40/51.68 (node17(c_e_h_2, c_h, s7) | node18(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19523, 508, 19520])).
% 79.40/51.68 tff(19525,plain,
% 79.40/51.68 (node17(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19524, 19516])).
% 79.40/51.68 tff(19526,assumption,(node16(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.68 tff(19527,assumption,(node17(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.68 tff(19528,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19529,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19530,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s7)) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 79.40/51.68 tff(19531,plain,
% 79.40/51.68 (m_c_h_element_v_in1(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19530, 559, 19526])).
% 79.40/51.68 tff(19532,plain,
% 79.40/51.68 (m_c_h_element_v_in2(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19531, 19505])).
% 79.40/51.68 tff(19533,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node17(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node17(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19534,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node17(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19535,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node17(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19534, 19533])).
% 79.40/51.68 tff(19536,plain,
% 79.40/51.68 (m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19535, 1172, 19527])).
% 79.40/51.68 tff(19537,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19536, 19532, 19505])).
% 79.40/51.68 tff(19538,plain,(m_c_h_element_v_in1(c_e_h_2, c_h, s7) | (~node17(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19539,plain,
% 79.40/51.68 (m_c_h_element_v_in1(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19538, 19527, 19526])).
% 79.40/51.68 tff(19540,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19541,plain,
% 79.40/51.68 (((~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19542,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))))),
% 79.40/51.68 inference(monotonicity,[status(thm)],[19541])).
% 79.40/51.68 tff(19543,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(transitivity,[status(thm)],[19542, 19540])).
% 79.40/51.68 tff(19544,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19545,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 79.40/51.68 tff(19546,plain,
% 79.40/51.68 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19545, 1192, 19526])).
% 79.40/51.68 tff(19547,plain,
% 79.40/51.68 (~m_c_h_element_v_in2(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19546, 19539])).
% 79.40/51.68 tff(19548,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19549,plain,
% 79.40/51.68 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~node17(c_e_h_2, c_h, s7))) <=> ((~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19550,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~node17(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))))),
% 79.40/51.68 inference(monotonicity,[status(thm)],[19549])).
% 79.40/51.68 tff(19551,plain,
% 79.40/51.68 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~node17(c_e_h_2, c_h, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(transitivity,[status(thm)],[19550, 19548])).
% 79.40/51.68 tff(19552,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~node17(c_e_h_2, c_h, s7)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19553,plain,
% 79.40/51.68 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s7)) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19552, 19551])).
% 79.40/51.68 tff(19554,plain,
% 79.40/51.68 (m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19553, 541, 19527])).
% 79.40/51.68 tff(19555,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19554, 19547, 19539])).
% 79.40/51.68 tff(19556,plain,((~node17(c_e_h_2, c_h, s7)) | (~node16(c_e_h_2, c_h, s7))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19557,plain,
% 79.40/51.68 (~node16(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19556, 19525])).
% 79.40/51.68 tff(19558,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19559,plain,
% 79.40/51.68 ((node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | node15(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8))) <=> (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19560,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | node15(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.68 inference(monotonicity,[status(thm)],[19559])).
% 79.40/51.68 tff(19561,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | node15(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8))),
% 79.40/51.68 inference(transitivity,[status(thm)],[19560, 19558])).
% 79.40/51.68 tff(19562,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | node15(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19563,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | (~node19(c_e_h_2, c_h, s7, s8)) | node15(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 79.40/51.68 tff(19564,plain,
% 79.40/51.68 (node16(c_e_h_2, c_h, s7) | node14(c_e_h_2, c_h, s7, s8) | node15(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19563, 594, 19520])).
% 79.40/51.68 tff(19565,plain,
% 79.40/51.68 (node15(c_e_h_2, c_h, s7, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19564, 19557, 19515])).
% 79.40/51.68 tff(19566,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | (~node15(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | (~node15(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19567,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | (~node15(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19568,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | (~node15(c_e_h_2, c_h, s7, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 79.40/51.68 tff(19569,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19568, 612, 19496, 19497, 19565])).
% 79.40/51.68 tff(19570,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s7) | m_c_h_element_v_in1(c_e_h_2, c_h, s7)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19571,plain,
% 79.40/51.68 (m_c_h_element_v_in1(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19570, 19497, 19496])).
% 79.40/51.68 tff(19572,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s7)), introduced(assumption)).
% 79.40/51.68 tff(19573,plain,
% 79.40/51.68 ((~node17(c_e_h_2, c_h, s7)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s7))),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19553, 541, 19572])).
% 79.40/51.68 tff(19574,plain,
% 79.40/51.68 (~node17(c_e_h_2, c_h, s7)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19573, 19571])).
% 79.40/51.68 tff(19575,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19524, 19574, 19504])).
% 79.40/51.68 tff(19576,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s7) | m_c_h_element_v_in2(c_e_h_2, c_h, s7) | (~m_c_h_element_v_out(c_e_h_2, c_h, s8))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19577,plain,
% 79.40/51.68 (~m_c_h_element_v_out(c_e_h_2, c_h, s8)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19576, 19495, 19407])).
% 79.40/51.68 tff(19578,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.68 tff(19579,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.68 tff(19580,assumption,(node18(c_e_h_2, c_h, s8, s9)), introduced(assumption)).
% 79.40/51.68 tff(19581,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19582,plain,
% 79.40/51.68 (((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~node18(c_e_h_2, c_h, s8, s9))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19583,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~node18(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9))))),
% 79.40/51.68 inference(monotonicity,[status(thm)],[19582])).
% 79.40/51.68 tff(19584,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~node18(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(transitivity,[status(thm)],[19583, 19581])).
% 79.40/51.68 tff(19585,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~node18(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19586,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node18(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 79.40/51.68 tff(19587,plain,
% 79.40/51.68 ($false),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19586, 481, 19579, 19578, 19580])).
% 79.40/51.68 tff(19588,plain,((~node18(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.68 tff(19589,plain,
% 79.40/51.68 (~node18(c_e_h_2, c_h, s8, s9)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19588, 19579, 19578])).
% 79.40/51.68 tff(19590,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_2, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19591,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19592,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_2, c_h, s8, s9)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 79.40/51.68 tff(19593,plain,
% 79.40/51.68 (node19(c_e_h_2, c_h, s8, s9)),
% 79.40/51.68 inference(unit_resolution,[status(thm)],[19592, 494, 3713])).
% 79.40/51.68 tff(19594,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19595,plain,
% 79.40/51.68 ((node17(c_e_h_2, c_h, s8) | node18(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9))) <=> (node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(rewrite,[status(thm)],[])).
% 79.40/51.68 tff(19596,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s8) | node18(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(monotonicity,[status(thm)],[19595])).
% 79.40/51.68 tff(19597,plain,
% 79.40/51.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s8) | node18(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9))),
% 79.40/51.68 inference(transitivity,[status(thm)],[19596, 19594])).
% 79.40/51.68 tff(19598,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s8) | node18(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.68 inference(quant_inst,[status(thm)],[])).
% 79.40/51.68 tff(19599,plain,
% 79.40/51.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s8) | (~node19(c_e_h_2, c_h, s8, s9)) | node18(c_e_h_2, c_h, s8, s9)),
% 79.40/51.68 inference(modus_ponens,[status(thm)],[19598, 19597])).
% 79.40/51.69 tff(19600,plain,
% 79.40/51.69 (node17(c_e_h_2, c_h, s8) | node18(c_e_h_2, c_h, s8, s9)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19599, 508, 19593])).
% 79.40/51.69 tff(19601,plain,
% 79.40/51.69 (node17(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19600, 19589])).
% 79.40/51.69 tff(19602,assumption,(~node14(c_e_h_2, c_h, s8, s9)), introduced(assumption)).
% 79.40/51.69 tff(19603,assumption,(node15(c_e_h_2, c_h, s8, s9)), introduced(assumption)).
% 79.40/51.69 tff(19604,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node15(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node15(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19605,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node15(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19606,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | (~node15(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19605, 19604])).
% 79.40/51.69 tff(19607,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19606, 612, 19579, 19578, 19603])).
% 79.40/51.69 tff(19608,plain,((~node15(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19609,plain,
% 79.40/51.69 (~node15(c_e_h_2, c_h, s8, s9)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19608, 19579, 19578])).
% 79.40/51.69 tff(19610,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19611,plain,
% 79.40/51.69 ((node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | node15(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9))) <=> (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19612,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | node15(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19611])).
% 79.40/51.69 tff(19613,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | node15(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9))),
% 79.40/51.69 inference(transitivity,[status(thm)],[19612, 19610])).
% 79.40/51.69 tff(19614,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | node15(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19615,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~node19(c_e_h_2, c_h, s8, s9)) | node15(c_e_h_2, c_h, s8, s9)),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 79.40/51.69 tff(19616,plain,
% 79.40/51.69 (node16(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | node15(c_e_h_2, c_h, s8, s9)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19615, 594, 19593])).
% 79.40/51.69 tff(19617,plain,
% 79.40/51.69 (node16(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19616, 19609, 19602])).
% 79.40/51.69 tff(19618,assumption,(node17(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.69 tff(19619,assumption,(node16(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.69 tff(19620,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.69 tff(19621,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19622,plain,
% 79.40/51.69 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~node17(c_e_h_2, c_h, s8))) <=> ((~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19623,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~node17(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8))))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19622])).
% 79.40/51.69 tff(19624,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~node17(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(transitivity,[status(thm)],[19623, 19621])).
% 79.40/51.69 tff(19625,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~node17(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19626,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 79.40/51.69 tff(19627,plain,
% 79.40/51.69 (m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19626, 541, 19618])).
% 79.40/51.69 tff(19628,plain,
% 79.40/51.69 (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19627, 19620])).
% 79.40/51.69 tff(19629,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19630,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19631,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 79.40/51.69 tff(19632,plain,
% 79.40/51.69 (m_c_h_element_v_in1(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19631, 559, 19619])).
% 79.40/51.69 tff(19633,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19632, 19628, 19620])).
% 79.40/51.69 tff(19634,plain,(m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~node16(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19635,plain,
% 79.40/51.69 (m_c_h_element_v_in2(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19634, 19619, 19618])).
% 79.40/51.69 tff(19636,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19637,plain,
% 79.40/51.69 ((m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8))) <=> ((~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19638,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19637])).
% 79.40/51.69 tff(19639,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(transitivity,[status(thm)],[19638, 19636])).
% 79.40/51.69 tff(19640,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19641,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 79.40/51.69 tff(19642,plain,
% 79.40/51.69 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s8)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19641, 1172, 19618])).
% 79.40/51.69 tff(19643,plain,
% 79.40/51.69 (m_c_h_element_v_in1(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19642, 19635])).
% 79.40/51.69 tff(19644,plain,
% 79.40/51.69 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19645,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19646,plain,
% 79.40/51.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 79.40/51.69 tff(19647,plain,
% 79.40/51.69 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19646, 1192, 19619])).
% 79.40/51.69 tff(19648,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19647, 19643, 19635])).
% 79.40/51.69 tff(19649,plain,((~node16(c_e_h_2, c_h, s8)) | (~node17(c_e_h_2, c_h, s8))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19650,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19649, 19617, 19601])).
% 79.40/51.69 tff(19651,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s8) | node14(c_e_h_2, c_h, s8, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19652,plain,
% 79.40/51.69 (node14(c_e_h_2, c_h, s8, s9)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19651, 19579, 19578])).
% 79.40/51.69 tff(19653,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s8)), introduced(assumption)).
% 79.40/51.69 tff(19654,assumption,(node14(c_e_h_2, c_h, s8, s9)), introduced(assumption)).
% 79.40/51.69 tff(19655,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19656,plain,
% 79.40/51.69 (((~node14(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19657,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9))))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19656])).
% 79.40/51.69 tff(19658,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9)))),
% 79.40/51.69 inference(transitivity,[status(thm)],[19657, 19655])).
% 79.40/51.69 tff(19659,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19660,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8) | (~node14(c_e_h_2, c_h, s8, s9))),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19659, 19658])).
% 79.40/51.69 tff(19661,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19660, 575, 19578, 19654, 19653])).
% 79.40/51.69 tff(19662,plain,((~node14(c_e_h_2, c_h, s8, s9)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19663,plain,
% 79.40/51.69 (m_c_h_element_v_in1(c_e_h_2, c_h, s8)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19662, 19652, 19578])).
% 79.40/51.69 tff(19664,plain,
% 79.40/51.69 ((~node17(c_e_h_2, c_h, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s8))),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19626, 541, 19620])).
% 79.40/51.69 tff(19665,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19664, 19601, 19663])).
% 79.40/51.69 tff(19666,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s8) | m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19667,plain,
% 79.40/51.69 (m_c_h_element_v_in2(c_e_h_2, c_h, s8) | (~m_c_h_element_v_out(c_e_h_2, c_h, s9))),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19666, 19577])).
% 79.40/51.69 tff(19668,plain,
% 79.40/51.69 (~m_c_h_element_v_out(c_e_h_2, c_h, s9)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19667, 19403])).
% 79.40/51.69 tff(19669,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.69 tff(19670,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s10)), introduced(assumption)).
% 79.40/51.69 tff(19671,assumption,(node18(c_e_h_2, c_h, s9, s10)), introduced(assumption)).
% 79.40/51.69 tff(19672,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19673,plain,
% 79.40/51.69 (((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~node18(c_e_h_2, c_h, s9, s10))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19674,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~node18(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10))))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19673])).
% 79.40/51.69 tff(19675,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~node18(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.69 inference(transitivity,[status(thm)],[19674, 19672])).
% 79.40/51.69 tff(19676,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~node18(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19677,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node18(c_e_h_2, c_h, s9, s10))),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 79.40/51.69 tff(19678,plain,
% 79.40/51.69 ($false),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19677, 481, 19670, 19669, 19671])).
% 79.40/51.69 tff(19679,plain,((~node18(c_e_h_2, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.69 tff(19680,plain,
% 79.40/51.69 (~node18(c_e_h_2, c_h, s9, s10)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19679, 19670, 19669])).
% 79.40/51.69 tff(19681,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_2, c_h, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_2, c_h, s9, s10))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19682,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_2, c_h, s9, s10))),
% 79.40/51.69 inference(quant_inst,[status(thm)],[])).
% 79.40/51.69 tff(19683,plain,
% 79.40/51.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_2, c_h, s9, s10)),
% 79.40/51.69 inference(modus_ponens,[status(thm)],[19682, 19681])).
% 79.40/51.69 tff(19684,plain,
% 79.40/51.69 (node19(c_e_h_2, c_h, s9, s10)),
% 79.40/51.69 inference(unit_resolution,[status(thm)],[19683, 494, 6039])).
% 79.40/51.69 tff(19685,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19686,plain,
% 79.40/51.69 ((node17(c_e_h_2, c_h, s9) | node18(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10))) <=> ((~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9))),
% 79.40/51.69 inference(rewrite,[status(thm)],[])).
% 79.40/51.69 tff(19687,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s9) | node18(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9)))),
% 79.40/51.69 inference(monotonicity,[status(thm)],[19686])).
% 79.40/51.69 tff(19688,plain,
% 79.40/51.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s9) | node18(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(transitivity,[status(thm)],[19687, 19685])).
% 79.40/51.70 tff(19689,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s9) | node18(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19690,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19689, 19688])).
% 79.40/51.70 tff(19691,plain,
% 79.40/51.70 (node18(c_e_h_2, c_h, s9, s10) | node17(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19690, 508, 19684])).
% 79.40/51.70 tff(19692,plain,
% 79.40/51.70 (node17(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19691, 19680])).
% 79.40/51.70 tff(19693,assumption,(node15(c_e_h_2, c_h, s9, s10)), introduced(assumption)).
% 79.40/51.70 tff(19694,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node15(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node15(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19695,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node15(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19696,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | (~node15(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19695, 19694])).
% 79.40/51.70 tff(19697,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19696, 612, 19670, 19669, 19693])).
% 79.40/51.70 tff(19698,plain,((~node15(c_e_h_2, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19699,plain,
% 79.40/51.70 (~node15(c_e_h_2, c_h, s9, s10)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19698, 19670, 19669])).
% 79.40/51.70 tff(19700,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.70 tff(19701,assumption,(node14(c_e_h_2, c_h, s9, s10)), introduced(assumption)).
% 79.40/51.70 tff(19702,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19703,plain,
% 79.40/51.70 (((~node14(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19704,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10))))),
% 79.40/51.70 inference(monotonicity,[status(thm)],[19703])).
% 79.40/51.70 tff(19705,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(transitivity,[status(thm)],[19704, 19702])).
% 79.40/51.70 tff(19706,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19707,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~node14(c_e_h_2, c_h, s9, s10))),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19706, 19705])).
% 79.40/51.70 tff(19708,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19707, 575, 19670, 19701, 19700])).
% 79.40/51.70 tff(19709,plain,((~node14(c_e_h_2, c_h, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19710,plain,
% 79.40/51.70 (~node14(c_e_h_2, c_h, s9, s10)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19709, 19670, 19700])).
% 79.40/51.70 tff(19711,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19712,plain,
% 79.40/51.70 ((node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10))) <=> ((~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19713,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(monotonicity,[status(thm)],[19712])).
% 79.40/51.70 tff(19714,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10))),
% 79.40/51.70 inference(transitivity,[status(thm)],[19713, 19711])).
% 79.40/51.70 tff(19715,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10) | (~node19(c_e_h_2, c_h, s9, s10)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19716,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s9, s10)) | node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19715, 19714])).
% 79.40/51.70 tff(19717,plain,
% 79.40/51.70 (node16(c_e_h_2, c_h, s9) | node14(c_e_h_2, c_h, s9, s10) | node15(c_e_h_2, c_h, s9, s10)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19716, 594, 19684])).
% 79.40/51.70 tff(19718,plain,
% 79.40/51.70 (node16(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19717, 19710, 19699])).
% 79.40/51.70 tff(19719,assumption,(node17(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.70 tff(19720,assumption,(node16(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.70 tff(19721,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s9)), introduced(assumption)).
% 79.40/51.70 tff(19722,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19723,plain,
% 79.40/51.70 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19724,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9))))),
% 79.40/51.70 inference(monotonicity,[status(thm)],[19723])).
% 79.40/51.70 tff(19725,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(transitivity,[status(thm)],[19724, 19722])).
% 79.40/51.70 tff(19726,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19727,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 79.40/51.70 tff(19728,plain,
% 79.40/51.70 (m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19727, 541, 19719])).
% 79.40/51.70 tff(19729,plain,
% 79.40/51.70 (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19728, 19721])).
% 79.40/51.70 tff(19730,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_in2(c_e_h_2, c_h, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_in2(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19731,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_in2(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19732,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s9)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_in2(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 79.40/51.70 tff(19733,plain,
% 79.40/51.70 (m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_in2(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19732, 559, 19720])).
% 79.40/51.70 tff(19734,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19733, 19729, 19721])).
% 79.40/51.70 tff(19735,plain,(m_c_h_element_v_in2(c_e_h_2, c_h, s9) | (~node16(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19736,plain,
% 79.40/51.70 (m_c_h_element_v_in2(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19735, 19720, 19719])).
% 79.40/51.70 tff(19737,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19738,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19739,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 79.40/51.70 tff(19740,plain,
% 79.40/51.70 (m_c_h_element_v_in1(c_e_h_2, c_h, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19739, 1172, 19719])).
% 79.40/51.70 tff(19741,plain,
% 79.40/51.70 (m_c_h_element_v_in1(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19740, 19736])).
% 79.40/51.70 tff(19742,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19743,plain,
% 79.40/51.70 (((~node16(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19744,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9))))),
% 79.40/51.70 inference(monotonicity,[status(thm)],[19743])).
% 79.40/51.70 tff(19745,plain,
% 79.40/51.70 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(transitivity,[status(thm)],[19744, 19742])).
% 79.40/51.70 tff(19746,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19747,plain,
% 79.40/51.70 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9)) | (~node16(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19746, 19745])).
% 79.40/51.70 tff(19748,plain,
% 79.40/51.70 ((~m_c_h_element_v_in2(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19747, 1192, 19720])).
% 79.40/51.70 tff(19749,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19748, 19741, 19736])).
% 79.40/51.70 tff(19750,plain,((~node16(c_e_h_2, c_h, s9)) | (~node17(c_e_h_2, c_h, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19751,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19750, 19718, 19692])).
% 79.40/51.70 tff(19752,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s9) | m_c_h_element_v_out(c_e_h_2, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19753,plain,
% 79.40/51.70 (m_c_h_element_v_in1(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19752, 19670, 19669])).
% 79.40/51.70 tff(19754,plain,
% 79.40/51.70 ((~node17(c_e_h_2, c_h, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s9))),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19727, 541, 19721])).
% 79.40/51.70 tff(19755,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19754, 19692, 19753])).
% 79.40/51.70 tff(19756,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9) | m_c_h_element_v_out(c_e_h_2, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19757,plain,
% 79.40/51.70 ((~m_c_h_element_v_out(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s9)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19756, 19668])).
% 79.40/51.70 tff(19758,plain,
% 79.40/51.70 (~m_c_h_element_v_out(c_e_h_2, c_h, s10)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19757, 19399])).
% 79.40/51.70 tff(19759,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s12)), introduced(assumption)).
% 79.40/51.70 tff(19760,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s10)), introduced(assumption)).
% 79.40/51.70 tff(19761,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s10)), introduced(assumption)).
% 79.40/51.70 tff(19762,assumption,(m_c_h_element_v_in2(c_e_h_2, c_h, s10)), introduced(assumption)).
% 79.40/51.70 tff(19763,plain,
% 79.40/51.70 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19764,plain,
% 79.40/51.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19765,plain,
% 79.40/51.70 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19764, 19763])).
% 79.40/51.70 tff(19766,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19765, 1740, 19761, 19762])).
% 79.40/51.70 tff(19767,plain,((~m_c_h_element_v_in2(c_e_h_2, c_h, s10)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19768,plain,
% 79.40/51.70 (~m_c_h_element_v_in2(c_e_h_2, c_h, s10)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19767, 19761])).
% 79.40/51.70 tff(19769,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s11)), introduced(assumption)).
% 79.40/51.70 tff(19770,assumption,(node15(c_e_h_2, c_h, s10, s11)), introduced(assumption)).
% 79.40/51.70 tff(19771,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node15(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node15(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19772,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node15(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))),
% 79.40/51.70 inference(quant_inst,[status(thm)],[])).
% 79.40/51.70 tff(19773,plain,
% 79.40/51.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node15(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10)),
% 79.40/51.70 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 79.40/51.70 tff(19774,plain,
% 79.40/51.70 ($false),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19773, 612, 19760, 19770, 19769])).
% 79.40/51.70 tff(19775,plain,((~node15(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.70 tff(19776,plain,
% 79.40/51.70 (~node15(c_e_h_2, c_h, s10, s11)),
% 79.40/51.70 inference(unit_resolution,[status(thm)],[19775, 19769, 19760])).
% 79.40/51.70 tff(19777,assumption,(node18(c_e_h_2, c_h, s10, s11)), introduced(assumption)).
% 79.40/51.70 tff(19778,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19779,plain,
% 79.40/51.70 (((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~node18(c_e_h_2, c_h, s10, s11))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.70 inference(rewrite,[status(thm)],[])).
% 79.40/51.70 tff(19780,plain,
% 79.40/51.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~node18(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11))))),
% 79.40/51.71 inference(monotonicity,[status(thm)],[19779])).
% 79.40/51.71 tff(19781,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~node18(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.71 inference(transitivity,[status(thm)],[19780, 19778])).
% 79.40/51.71 tff(19782,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~node18(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19783,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | (~node18(c_e_h_2, c_h, s10, s11))),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19782, 19781])).
% 79.40/51.71 tff(19784,plain,
% 79.40/51.71 ($false),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19783, 481, 19760, 19777, 19769])).
% 79.40/51.71 tff(19785,plain,((~node18(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.71 tff(19786,plain,
% 79.40/51.71 (~node18(c_e_h_2, c_h, s10, s11)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19785, 19769, 19760])).
% 79.40/51.71 tff(19787,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_2, c_h, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_2, c_h, s10, s11))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19788,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_2, c_h, s10, s11))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19789,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_2, c_h, s10, s11)),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 79.40/51.71 tff(19790,plain,
% 79.40/51.71 (node19(c_e_h_2, c_h, s10, s11)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19789, 494, 8015])).
% 79.40/51.71 tff(19791,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19792,plain,
% 79.40/51.71 ((node17(c_e_h_2, c_h, s10) | node18(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11))) <=> ((~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19793,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s10) | node18(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(monotonicity,[status(thm)],[19792])).
% 79.40/51.71 tff(19794,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s10) | node18(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(transitivity,[status(thm)],[19793, 19791])).
% 79.40/51.71 tff(19795,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s10) | node18(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19796,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s10, s11)) | node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 79.40/51.71 tff(19797,plain,
% 79.40/51.71 (node18(c_e_h_2, c_h, s10, s11) | node17(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19796, 508, 19790])).
% 79.40/51.71 tff(19798,plain,
% 79.40/51.71 (node17(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19797, 19786])).
% 79.40/51.71 tff(19799,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s10)), introduced(assumption)).
% 79.40/51.71 tff(19800,plain,
% 79.40/51.71 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19801,plain,
% 79.40/51.71 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~node17(c_e_h_2, c_h, s10))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19802,plain,
% 79.40/51.71 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~node17(c_e_h_2, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10))))),
% 79.40/51.71 inference(monotonicity,[status(thm)],[19801])).
% 79.40/51.71 tff(19803,plain,
% 79.40/51.71 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~node17(c_e_h_2, c_h, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(transitivity,[status(thm)],[19802, 19800])).
% 79.40/51.71 tff(19804,plain,
% 79.40/51.71 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~node17(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19805,plain,
% 79.40/51.71 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 79.40/51.71 tff(19806,plain,
% 79.40/51.71 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s10)) | (~node17(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19805, 541, 19799])).
% 79.40/51.71 tff(19807,plain,
% 79.40/51.71 (~m_c_h_element_v_in1(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19806, 19798])).
% 79.40/51.71 tff(19808,plain,
% 79.40/51.71 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19809,plain,
% 79.40/51.71 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19810,plain,
% 79.40/51.71 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19809, 19808])).
% 79.40/51.71 tff(19811,plain,
% 79.40/51.71 ((~node16(c_e_h_2, c_h, s10)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19810, 559, 19799])).
% 79.40/51.71 tff(19812,plain,
% 79.40/51.71 (~node16(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19811, 19807])).
% 79.40/51.71 tff(19813,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s10)), introduced(assumption)).
% 79.40/51.71 tff(19814,assumption,(node14(c_e_h_2, c_h, s10, s11)), introduced(assumption)).
% 79.40/51.71 tff(19815,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19816,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19817,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~node14(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11))),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 79.40/51.71 tff(19818,plain,
% 79.40/51.71 ($false),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19817, 575, 19814, 19813, 19769])).
% 79.40/51.71 tff(19819,plain,((~node14(c_e_h_2, c_h, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.71 tff(19820,plain,
% 79.40/51.71 (~node14(c_e_h_2, c_h, s10, s11)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19819, 19807, 19769])).
% 79.40/51.71 tff(19821,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19822,plain,
% 79.40/51.71 ((node16(c_e_h_2, c_h, s10) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11))) <=> (node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19823,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s10) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10)))),
% 79.40/51.71 inference(monotonicity,[status(thm)],[19822])).
% 79.40/51.71 tff(19824,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s10) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10))),
% 79.40/51.71 inference(transitivity,[status(thm)],[19823, 19821])).
% 79.40/51.71 tff(19825,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s10) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19826,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | (~node19(c_e_h_2, c_h, s10, s11)) | node16(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19825, 19824])).
% 79.40/51.71 tff(19827,plain,
% 79.40/51.71 (node14(c_e_h_2, c_h, s10, s11) | node15(c_e_h_2, c_h, s10, s11) | node16(c_e_h_2, c_h, s10)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19826, 594, 19790])).
% 79.40/51.71 tff(19828,plain,
% 79.40/51.71 ($false),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19827, 19820, 19812, 19776])).
% 79.40/51.71 tff(19829,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10) | m_c_h_element_v_out(c_e_h_2, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.71 tff(19830,plain,
% 79.40/51.71 (~m_c_h_element_v_out(c_e_h_2, c_h, s11)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19829, 19768, 19760])).
% 79.40/51.71 tff(19831,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s11)), introduced(assumption)).
% 79.40/51.71 tff(19832,assumption,(node18(c_e_h_2, c_h, s11, s12)), introduced(assumption)).
% 79.40/51.71 tff(19833,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19834,plain,
% 79.40/51.71 (((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~node18(c_e_h_2, c_h, s11, s12))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19835,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~node18(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12))))),
% 79.40/51.71 inference(monotonicity,[status(thm)],[19834])).
% 79.40/51.71 tff(19836,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~node18(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.71 inference(transitivity,[status(thm)],[19835, 19833])).
% 79.40/51.71 tff(19837,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~node18(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19838,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node18(c_e_h_2, c_h, s11, s12))),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 79.40/51.71 tff(19839,plain,
% 79.40/51.71 ($false),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19838, 481, 19759, 19832, 19831])).
% 79.40/51.71 tff(19840,plain,((~node18(c_e_h_2, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.71 tff(19841,plain,
% 79.40/51.71 (~node18(c_e_h_2, c_h, s11, s12)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19840, 19831, 19759])).
% 79.40/51.71 tff(19842,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s11)), introduced(assumption)).
% 79.40/51.71 tff(19843,assumption,(~node16(c_e_h_2, c_h, s11)), introduced(assumption)).
% 79.40/51.71 tff(19844,assumption,(node15(c_e_h_2, c_h, s11, s12)), introduced(assumption)).
% 79.40/51.71 tff(19845,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node15(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node15(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))),
% 79.40/51.71 inference(rewrite,[status(thm)],[])).
% 79.40/51.71 tff(19846,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node15(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))),
% 79.40/51.71 inference(quant_inst,[status(thm)],[])).
% 79.40/51.71 tff(19847,plain,
% 79.40/51.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node15(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11)),
% 79.40/51.71 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 79.40/51.71 tff(19848,plain,
% 79.40/51.71 ($false),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19847, 612, 19759, 19844, 19831])).
% 79.40/51.71 tff(19849,plain,((~node15(c_e_h_2, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.71 tff(19850,plain,
% 79.40/51.71 (~node15(c_e_h_2, c_h, s11, s12)),
% 79.40/51.71 inference(unit_resolution,[status(thm)],[19849, 19759, 19831])).
% 79.40/51.71 tff(19851,assumption,(node14(c_e_h_2, c_h, s11, s12)), introduced(assumption)).
% 79.40/51.71 tff(19852,plain,
% 79.40/51.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19853,plain,
% 79.40/51.72 (((~node14(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12))) <=> (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19854,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12))))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19853])).
% 79.40/51.72 tff(19855,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19854, 19852])).
% 79.40/51.72 tff(19856,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19857,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | (~node14(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19856, 19855])).
% 79.40/51.72 tff(19858,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19857, 575, 19759, 19851, 19842])).
% 79.40/51.72 tff(19859,plain,((~node14(c_e_h_2, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.72 tff(19860,plain,
% 79.40/51.72 (~node14(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19859, 19759, 19842])).
% 79.40/51.72 tff(19861,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_2, c_h, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19862,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19863,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19862, 19861])).
% 79.40/51.72 tff(19864,plain,
% 79.40/51.72 (node19(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19863, 494, 8210])).
% 79.40/51.72 tff(19865,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19866,plain,
% 79.40/51.72 ((node16(c_e_h_2, c_h, s11) | node14(c_e_h_2, c_h, s11, s12) | node15(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12))) <=> (node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19867,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s11) | node14(c_e_h_2, c_h, s11, s12) | node15(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19866])).
% 79.40/51.72 tff(19868,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s11) | node14(c_e_h_2, c_h, s11, s12) | node15(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19867, 19865])).
% 79.40/51.72 tff(19869,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s11) | node14(c_e_h_2, c_h, s11, s12) | node15(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19870,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19869, 19868])).
% 79.40/51.72 tff(19871,plain,
% 79.40/51.72 (node16(c_e_h_2, c_h, s11) | node15(c_e_h_2, c_h, s11, s12) | node14(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19870, 594, 19864])).
% 79.40/51.72 tff(19872,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19871, 19860, 19850, 19843])).
% 79.40/51.72 tff(19873,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | node16(c_e_h_2, c_h, s11) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.72 tff(19874,plain,
% 79.40/51.72 (node16(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19873, 19759, 19842, 19831])).
% 79.40/51.72 tff(19875,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19876,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19877,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 79.40/51.72 tff(19878,plain,
% 79.40/51.72 ((~node16(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19877, 559, 19842])).
% 79.40/51.72 tff(19879,plain,
% 79.40/51.72 (m_c_h_element_v_in2(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19878, 19874])).
% 79.40/51.72 tff(19880,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19881,plain,
% 79.40/51.72 ((m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11))) <=> ((~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19882,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11))))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19881])).
% 79.40/51.72 tff(19883,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19882, 19880])).
% 79.40/51.72 tff(19884,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19885,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in1(c_e_h_2, c_h, s11) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 79.40/51.72 tff(19886,plain,
% 79.40/51.72 ((~node17(c_e_h_2, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19885, 1172, 19842])).
% 79.40/51.72 tff(19887,plain,
% 79.40/51.72 (~node17(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19886, 19879])).
% 79.40/51.72 tff(19888,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19889,plain,
% 79.40/51.72 ((node17(c_e_h_2, c_h, s11) | node18(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12))) <=> (node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19890,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s11) | node18(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19889])).
% 79.40/51.72 tff(19891,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s11) | node18(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19890, 19888])).
% 79.40/51.72 tff(19892,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s11) | node18(c_e_h_2, c_h, s11, s12) | (~node19(c_e_h_2, c_h, s11, s12)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19893,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s11) | (~node19(c_e_h_2, c_h, s11, s12)) | node18(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 79.40/51.72 tff(19894,plain,
% 79.40/51.72 (node17(c_e_h_2, c_h, s11) | node18(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19893, 508, 19864])).
% 79.40/51.72 tff(19895,plain,
% 79.40/51.72 (node18(c_e_h_2, c_h, s11, s12)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19894, 19887])).
% 79.40/51.72 tff(19896,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19838, 481, 19759, 19895, 19831])).
% 79.40/51.72 tff(19897,plain,((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s11) | m_c_h_element_v_in1(c_e_h_2, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.72 tff(19898,plain,
% 79.40/51.72 (m_c_h_element_v_in1(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19897, 19831, 19759])).
% 79.40/51.72 tff(19899,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s11)), introduced(assumption)).
% 79.40/51.72 tff(19900,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19901,plain,
% 79.40/51.72 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11) | (~node17(c_e_h_2, c_h, s11))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19902,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11) | (~node17(c_e_h_2, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19901])).
% 79.40/51.72 tff(19903,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11) | (~node17(c_e_h_2, c_h, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19902, 19900])).
% 79.40/51.72 tff(19904,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11) | (~node17(c_e_h_2, c_h, s11)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19905,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19904, 19903])).
% 79.40/51.72 tff(19906,plain,
% 79.40/51.72 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s11)) | (~node17(c_e_h_2, c_h, s11))),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19905, 541, 19899])).
% 79.40/51.72 tff(19907,plain,
% 79.40/51.72 (~node17(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19906, 19898])).
% 79.40/51.72 tff(19908,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19894, 19907, 19841])).
% 79.40/51.72 tff(19909,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s11) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.72 tff(19910,plain,
% 79.40/51.72 (m_c_h_element_v_in2(c_e_h_2, c_h, s11)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19909, 19830, 19759])).
% 79.40/51.72 tff(19911,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)), introduced(assumption)).
% 79.40/51.72 tff(19912,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.72 tff(19913,plain,
% 79.40/51.72 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19914,plain,
% 79.40/51.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19915,plain,
% 79.40/51.72 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 79.40/51.72 tff(19916,plain,
% 79.40/51.72 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s9)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19915, 3838, 12008])).
% 79.40/51.72 tff(19917,plain,
% 79.40/51.72 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s9))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19918,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s9))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19919,plain,
% 79.40/51.72 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s9)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s9)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19918, 19917])).
% 79.40/51.72 tff(19920,plain,
% 79.40/51.72 (~node20(c_e_h_2, c_l, s9)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19919, 334, 19916])).
% 79.40/51.72 tff(19921,assumption,(node21(c_e_h_2, c_l, s9, s10)), introduced(assumption)).
% 79.40/51.72 tff(19922,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19923,plain,
% 79.40/51.72 ((node20(c_e_h_2, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node21(c_e_h_2, c_l, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10)))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19924,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node21(c_e_h_2, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10))))),
% 79.40/51.72 inference(monotonicity,[status(thm)],[19923])).
% 79.40/51.72 tff(19925,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node21(c_e_h_2, c_l, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10)))),
% 79.40/51.72 inference(transitivity,[status(thm)],[19924, 19922])).
% 79.40/51.72 tff(19926,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node21(c_e_h_2, c_l, s9, s10)))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19927,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | node20(c_e_h_2, c_l, s9) | (~node21(c_e_h_2, c_l, s9, s10))),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 79.40/51.72 tff(19928,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19927, 348, 19921, 19912, 19920])).
% 79.40/51.72 tff(19929,plain,((~node21(c_e_h_2, c_l, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.72 tff(19930,plain,
% 79.40/51.72 (~node21(c_e_h_2, c_l, s9, s10)),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19929, 19912])).
% 79.40/51.72 tff(19931,assumption,(node22(c_e_h_2, c_l, s9, s10)), introduced(assumption)).
% 79.40/51.72 tff(19932,plain,
% 79.40/51.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node22(c_e_h_2, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node22(c_e_h_2, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))),
% 79.40/51.72 inference(rewrite,[status(thm)],[])).
% 79.40/51.72 tff(19933,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node22(c_e_h_2, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9))),
% 79.40/51.72 inference(quant_inst,[status(thm)],[])).
% 79.40/51.72 tff(19934,plain,
% 79.40/51.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | (~node22(c_e_h_2, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9)),
% 79.40/51.72 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 79.40/51.72 tff(19935,plain,
% 79.40/51.72 ($false),
% 79.40/51.72 inference(unit_resolution,[status(thm)],[19934, 437, 19931, 19354, 19912])).
% 79.40/51.72 tff(19936,plain,((~node22(c_e_h_2, c_l, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s10))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19937,plain,
% 79.40/51.73 (~node22(c_e_h_2, c_l, s9, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19936, 19912, 19354])).
% 79.40/51.73 tff(19938,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_l, s9, s10) | node22(c_e_h_2, c_l, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_l, s9, s10) | node22(c_e_h_2, c_l, s9, s10))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19939,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_l, s9, s10) | node22(c_e_h_2, c_l, s9, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19940,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_l, s9, s10) | node22(c_e_h_2, c_l, s9, s10)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19939, 19938])).
% 79.40/51.73 tff(19941,plain,
% 79.40/51.73 (node21(c_e_h_2, c_l, s9, s10) | node22(c_e_h_2, c_l, s9, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19940, 383, 6039])).
% 79.40/51.73 tff(19942,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19941, 19937, 19930])).
% 79.40/51.73 tff(19943,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19944,plain,
% 79.40/51.73 (~m_and_h_gate_v_out(c_e_h_2, c_l, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19943, 19352])).
% 79.40/51.73 tff(19945,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s10)), introduced(assumption)).
% 79.40/51.73 tff(19946,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.73 tff(19947,plain,
% 79.40/51.73 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19948,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19949,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 79.40/51.73 tff(19950,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19949, 1835, 19946, 19945])).
% 79.40/51.73 tff(19951,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19952,plain,
% 79.40/51.73 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19951, 19944])).
% 79.40/51.73 tff(19953,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s10)), introduced(assumption)).
% 79.40/51.73 tff(19954,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s11)), introduced(assumption)).
% 79.40/51.73 tff(19955,assumption,(node5(c_e_h_2, c_j, s10, s11)), introduced(assumption)).
% 79.40/51.73 tff(19956,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19957,plain,
% 79.40/51.73 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19958,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11))))),
% 79.40/51.73 inference(monotonicity,[status(thm)],[19957])).
% 79.40/51.73 tff(19959,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(transitivity,[status(thm)],[19958, 19956])).
% 79.40/51.73 tff(19960,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19961,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | (~node5(c_e_h_2, c_j, s10, s11))),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19960, 19959])).
% 79.40/51.73 tff(19962,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19961, 1888, 19954, 19955, 19911, 19953])).
% 79.40/51.73 tff(19963,plain,((~node5(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19964,plain,
% 79.40/51.73 (~node5(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19963, 19954, 19953, 19911])).
% 79.40/51.73 tff(19965,assumption,(node6(c_e_h_2, c_j, s10, s11)), introduced(assumption)).
% 79.40/51.73 tff(19966,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19967,plain,
% 79.40/51.73 (((~node6(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19968,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11))))),
% 79.40/51.73 inference(monotonicity,[status(thm)],[19967])).
% 79.40/51.73 tff(19969,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(transitivity,[status(thm)],[19968, 19966])).
% 79.40/51.73 tff(19970,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19971,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | (~node6(c_e_h_2, c_j, s10, s11))),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 79.40/51.73 tff(19972,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19971, 1851, 19954, 19965, 19761])).
% 79.40/51.73 tff(19973,plain,((~node6(c_e_h_2, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19974,plain,
% 79.40/51.73 (~node6(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19973, 19954, 19761])).
% 79.40/51.73 tff(19975,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19976,plain,
% 79.40/51.73 ((node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11) | (~trans(s10, s11))) <=> ((~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19977,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11)))),
% 79.40/51.73 inference(monotonicity,[status(thm)],[19976])).
% 79.40/51.73 tff(19978,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11))),
% 79.40/51.73 inference(transitivity,[status(thm)],[19977, 19975])).
% 79.40/51.73 tff(19979,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11) | (~trans(s10, s11)))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19980,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19979, 19978])).
% 79.40/51.73 tff(19981,plain,
% 79.40/51.73 (node6(c_e_h_2, c_j, s10, s11) | node5(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19980, 1870, 8015])).
% 79.40/51.73 tff(19982,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19981, 19974, 19964])).
% 79.40/51.73 tff(19983,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19984,plain,
% 79.40/51.73 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19983, 19952])).
% 79.40/51.73 tff(19985,plain,
% 79.40/51.73 (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19984, 19761, 19911])).
% 79.40/51.73 tff(19986,plain,
% 79.40/51.73 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(19987,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(19988,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[19987, 19986])).
% 79.40/51.73 tff(19989,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19988, 1740, 19985, 19910])).
% 79.40/51.73 tff(19990,plain,(m_or_h_gate_v_out(c_e_h_2, c_j, s10) | (~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s10) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19991,plain,
% 79.40/51.73 ((~m_c_h_element_v_out(c_e_h_2, c_h, s12)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19990, 19758, 19395])).
% 79.40/51.73 tff(19992,plain,
% 79.40/51.73 (~m_c_h_element_v_out(c_e_h_2, c_h, s12)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19991, 18986])).
% 79.40/51.73 tff(19993,plain,
% 79.40/51.73 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15801, 17783])).
% 79.40/51.73 tff(19994,plain,
% 79.40/51.73 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15862, 18699, 18700, 18087, 19993])).
% 79.40/51.73 tff(19995,plain,
% 79.40/51.73 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15755, 18773])).
% 79.40/51.73 tff(19996,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.40/51.73 tff(19997,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18920, 397, 14887, 19996])).
% 79.40/51.73 tff(19998,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s9) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(19999,plain,
% 79.40/51.73 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19998, 19995])).
% 79.40/51.73 tff(20000,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.40/51.73 tff(20001,assumption,(node20(c_e_h_1, c_q, s9)), introduced(assumption)).
% 79.40/51.73 tff(20002,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18924, 22, 20001, 20000])).
% 79.40/51.73 tff(20003,plain,(m_and_h_gate_v_in1(c_e_h_1, c_q, s9) | (~node20(c_e_h_1, c_q, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20004,plain,
% 79.40/51.73 (~node20(c_e_h_1, c_q, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20003, 19999])).
% 79.40/51.73 tff(20005,plain,
% 79.40/51.73 (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18947, 18926, 18927])).
% 79.40/51.73 tff(20006,plain,
% 79.40/51.73 (~m_cell_v_ack(c_e_h_2, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18981, 20005])).
% 79.40/51.73 tff(20007,plain,
% 79.40/51.73 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18985, 1820, 20006])).
% 79.40/51.73 tff(20008,plain,
% 79.40/51.73 (~node5(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19963, 20007, 19953, 19954])).
% 79.40/51.73 tff(20009,plain,
% 79.40/51.73 (~m_cell_v_ack(c_e_h_2, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19318, 18926])).
% 79.40/51.73 tff(20010,plain,
% 79.40/51.73 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19322, 1820, 20009])).
% 79.40/51.73 tff(20011,plain,
% 79.40/51.73 (~m_or_h_gate_v_out(c_e_h_2, c_j, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19393, 20010, 19361, 19374])).
% 79.40/51.73 tff(20012,plain,
% 79.40/51.73 (~node6(c_e_h_2, c_j, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19973, 20011, 19954])).
% 79.40/51.73 tff(20013,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[19981, 20012, 20008])).
% 79.40/51.73 tff(20014,plain,(m_and_h_gate_v_out(c_e_h_1, c_q, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s10) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | m_or_h_gate_v_in1(c_e_h_2, c_j, s9) | node20(c_e_h_1, c_q, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20015,plain,
% 79.40/51.73 (m_and_h_gate_v_out(c_e_h_1, c_q, s9) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s9) | node20(c_e_h_1, c_q, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20014, 19952, 19360])).
% 79.40/51.73 tff(20016,plain,
% 79.40/51.73 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s11)) | node20(c_e_h_1, c_q, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20015, 19300, 19310])).
% 79.40/51.73 tff(20017,plain,
% 79.40/51.73 (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20016, 20004])).
% 79.40/51.73 tff(20018,plain,
% 79.40/51.73 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[7850, 19994])).
% 79.40/51.73 tff(20019,plain,
% 79.40/51.73 (~node20(c_e_h_1, c_i, s8)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[7858, 20018])).
% 79.40/51.73 tff(20020,plain,
% 79.40/51.73 (~m_c_h_element_v_in2(c_e_h_1, c_f, s8)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15746, 7744])).
% 79.40/51.73 tff(20021,plain,
% 79.40/51.73 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15754, 20020, 14755])).
% 79.40/51.73 tff(20022,plain,
% 79.40/51.73 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[7881, 7744, 7860])).
% 79.40/51.73 tff(20023,plain,
% 79.40/51.73 (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[15872, 20022])).
% 79.40/51.73 tff(20024,plain,
% 79.40/51.73 (~m_c_h_element_v_out(c_e_h_1, c_f, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[14952, 20023, 20021])).
% 79.40/51.73 tff(20025,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s11)), introduced(assumption)).
% 79.40/51.73 tff(20026,plain,
% 79.40/51.73 (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[18971, 20020, 18966, 14755])).
% 79.40/51.73 tff(20027,assumption,(~node20(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.40/51.73 tff(20028,assumption,(node21(c_e_h_1, c_q, s10, s11)), introduced(assumption)).
% 79.40/51.73 tff(20029,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node21(c_e_h_1, c_q, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node21(c_e_h_1, c_q, s10, s11)))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(20030,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node21(c_e_h_1, c_q, s10, s11)))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(20031,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node21(c_e_h_1, c_q, s10, s11))),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 79.40/51.73 tff(20032,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20031, 348, 20028, 20025, 20027])).
% 79.40/51.73 tff(20033,plain,((~node21(c_e_h_1, c_q, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | node20(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20034,plain,
% 79.40/51.73 (~node21(c_e_h_1, c_q, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20033, 20025, 20027])).
% 79.40/51.73 tff(20035,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.40/51.73 tff(20036,assumption,(node22(c_e_h_1, c_q, s10, s11)), introduced(assumption)).
% 79.40/51.73 tff(20037,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node22(c_e_h_1, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node22(c_e_h_1, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(20038,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node22(c_e_h_1, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(20039,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | (~node22(c_e_h_1, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[20038, 20037])).
% 79.40/51.73 tff(20040,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20039, 437, 20035, 20036, 20025])).
% 79.40/51.73 tff(20041,plain,((~node22(c_e_h_1, c_q, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20042,plain,
% 79.40/51.73 (~node22(c_e_h_1, c_q, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20041, 20025, 20035])).
% 79.40/51.73 tff(20043,plain,
% 79.40/51.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_q, s10, s11) | node22(c_e_h_1, c_q, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_q, s10, s11) | node22(c_e_h_1, c_q, s10, s11))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(20044,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_q, s10, s11) | node22(c_e_h_1, c_q, s10, s11))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(20045,plain,
% 79.40/51.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_q, s10, s11) | node22(c_e_h_1, c_q, s10, s11)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 79.40/51.73 tff(20046,plain,
% 79.40/51.73 (node21(c_e_h_1, c_q, s10, s11) | node22(c_e_h_1, c_q, s10, s11)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20045, 383, 8015])).
% 79.40/51.73 tff(20047,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20046, 20042, 20034])).
% 79.40/51.73 tff(20048,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | node20(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20049,plain,
% 79.40/51.73 (node20(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20048, 20026, 20025])).
% 79.40/51.73 tff(20050,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.40/51.73 tff(20051,assumption,(node20(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.40/51.73 tff(20052,plain,
% 79.40/51.73 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s10))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(20053,plain,
% 79.40/51.73 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(20054,plain,
% 79.40/51.73 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 79.40/51.73 tff(20055,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20054, 22, 20051, 20050])).
% 79.40/51.73 tff(20056,plain,((~node20(c_e_h_1, c_q, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.73 tff(20057,plain,
% 79.40/51.73 (m_and_h_gate_v_in1(c_e_h_1, c_q, s10)),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20056, 20049])).
% 79.40/51.73 tff(20058,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_q, s10)), introduced(assumption)).
% 79.40/51.73 tff(20059,plain,
% 79.40/51.73 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))),
% 79.40/51.73 inference(rewrite,[status(thm)],[])).
% 79.40/51.73 tff(20060,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10))),
% 79.40/51.73 inference(quant_inst,[status(thm)],[])).
% 79.40/51.73 tff(20061,plain,
% 79.40/51.73 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10)),
% 79.40/51.73 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 79.40/51.73 tff(20062,plain,
% 79.40/51.73 ($false),
% 79.40/51.73 inference(unit_resolution,[status(thm)],[20061, 397, 15878, 20058])).
% 79.40/51.73 tff(20063,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20064,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20063, 20057, 20024])).
% 79.40/51.74 tff(20065,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s8) | m_c_h_element_v_out(c_e_h_1, c_f, s8) | node20(c_e_h_1, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20066,plain,
% 79.40/51.74 (m_and_h_gate_v_out(c_e_h_1, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)) | node20(c_e_h_1, c_i, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20065, 14754, 18907])).
% 79.40/51.74 tff(20067,plain,
% 79.40/51.74 (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20066, 18711, 20019])).
% 79.40/51.74 tff(20068,plain,
% 79.40/51.74 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s11))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20069,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s11))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20070,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s11)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 79.40/51.74 tff(20071,plain,
% 79.40/51.74 (node3(c_e_h_1, c_e_h_2, s11)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20070, 2823, 1791])).
% 79.40/51.74 tff(20072,plain,
% 79.40/51.74 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s11)) | (~node3(c_e_h_1, c_e_h_2, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s11)) | (~node3(c_e_h_1, c_e_h_2, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20073,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s11)) | (~node3(c_e_h_1, c_e_h_2, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20074,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s11)) | (~node3(c_e_h_1, c_e_h_2, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 79.40/51.74 tff(20075,plain,
% 79.40/51.74 ((~m_cell_v_ack(c_e_h_2, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20074, 1808, 20071])).
% 79.40/51.74 tff(20076,plain,
% 79.40/51.74 (~m_cell_v_ack(c_e_h_2, s11)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20075, 20067])).
% 79.40/51.74 tff(20077,plain,
% 79.40/51.74 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)) | m_cell_v_ack(c_e_h_2, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)) | m_cell_v_ack(c_e_h_2, s11))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20078,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)) | m_cell_v_ack(c_e_h_2, s11))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20079,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)) | m_cell_v_ack(c_e_h_2, s11)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 79.40/51.74 tff(20080,plain,
% 79.40/51.74 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20079, 1820, 20076])).
% 79.40/51.74 tff(20081,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11757, 11764])).
% 79.40/51.74 tff(20082,plain,
% 79.40/51.74 (~m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[12533, 12453, 12444])).
% 79.40/51.74 tff(20083,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)), introduced(assumption)).
% 79.40/51.74 tff(20084,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11859, 12453])).
% 79.40/51.74 tff(20085,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)), introduced(assumption)).
% 79.40/51.74 tff(20086,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11752, 11652, 11644, 11645, 11651])).
% 79.40/51.74 tff(20087,plain,
% 79.40/51.74 (~node9(c_e_h_2, c_m, s5)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11750, 238, 11747])).
% 79.40/51.74 tff(20088,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s6)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11742, 20087, 11644])).
% 79.40/51.74 tff(20089,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s6)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11685, 11652, 11657, 11645])).
% 79.40/51.74 tff(20090,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s6)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11867, 3886, 20089])).
% 79.40/51.74 tff(20091,plain,
% 79.40/51.74 (~node9(c_e_h_2, c_m, s6)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11873, 238, 20090])).
% 79.40/51.74 tff(20092,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11903, 20091, 20088])).
% 79.40/51.74 tff(20093,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11911, 20092])).
% 79.40/51.74 tff(20094,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11941, 20093, 11907, 20086])).
% 79.40/51.74 tff(20095,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[12000, 3886, 20086])).
% 79.40/51.74 tff(20096,plain,
% 79.40/51.74 (~node9(c_e_h_2, c_m, s7)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[12004, 238, 20095])).
% 79.40/51.74 tff(20097,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[11996, 20092, 20096])).
% 79.40/51.74 tff(20098,plain,
% 79.40/51.74 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20099,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20100,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 79.40/51.74 tff(20101,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20100, 3976])).
% 79.40/51.74 tff(20102,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20101, 20097])).
% 79.40/51.74 tff(20103,assumption,(node11(c_e_h_2, c_n, s8, s9)), introduced(assumption)).
% 79.40/51.74 tff(20104,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20105,plain,
% 79.40/51.74 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~node11(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20106,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~node11(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9))))),
% 79.40/51.74 inference(monotonicity,[status(thm)],[20105])).
% 79.40/51.74 tff(20107,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~node11(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(transitivity,[status(thm)],[20106, 20104])).
% 79.40/51.74 tff(20108,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~node11(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20109,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | (~node11(c_e_h_2, c_n, s8, s9))),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20108, 20107])).
% 79.40/51.74 tff(20110,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20109, 208, 12553, 20103, 20083])).
% 79.40/51.74 tff(20111,plain,((~node11(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20112,plain,
% 79.40/51.74 (~node11(c_e_h_2, c_n, s8, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20111, 20083, 12553])).
% 79.40/51.74 tff(20113,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_2, c_n, s8, s9) | node11(c_e_h_2, c_n, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_2, c_n, s8, s9) | node11(c_e_h_2, c_n, s8, s9))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20114,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s8, s9)) | node10(c_e_h_2, c_n, s8, s9) | node11(c_e_h_2, c_n, s8, s9))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20115,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s8, s9)) | node10(c_e_h_2, c_n, s8, s9) | node11(c_e_h_2, c_n, s8, s9)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 79.40/51.74 tff(20116,plain,
% 79.40/51.74 (node10(c_e_h_2, c_n, s8, s9) | node11(c_e_h_2, c_n, s8, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20115, 193, 3713])).
% 79.40/51.74 tff(20117,plain,
% 79.40/51.74 (node10(c_e_h_2, c_n, s8, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20116, 20112])).
% 79.40/51.74 tff(20118,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)), introduced(assumption)).
% 79.40/51.74 tff(20119,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20120,plain,
% 79.40/51.74 (((~node10(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) <=> ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20121,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9))))),
% 79.40/51.74 inference(monotonicity,[status(thm)],[20120])).
% 79.40/51.74 tff(20122,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9)))),
% 79.40/51.74 inference(transitivity,[status(thm)],[20121, 20119])).
% 79.40/51.74 tff(20123,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s8, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20124,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~node10(c_e_h_2, c_n, s8, s9))),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20123, 20122])).
% 79.40/51.74 tff(20125,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20124, 160, 20085, 20118, 20117, 20083])).
% 79.40/51.74 tff(20126,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s8))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20127,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20126, 20102, 20094, 20083, 20085])).
% 79.40/51.74 tff(20128,plain,((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20129,plain,
% 79.40/51.74 ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s5)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s5)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6))),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20128, 11571])).
% 79.40/51.74 tff(20130,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s7)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6))),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20129, 11464, 11861])).
% 79.40/51.74 tff(20131,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20130, 20084, 11651, 20083])).
% 79.40/51.74 tff(20132,plain,
% 79.40/51.74 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8) | m_c_h_element_v_out(c_e_h_2, c_e, s8))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20133,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20134,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8) | m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 79.40/51.74 tff(20135,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s8) | m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20134, 3964])).
% 79.40/51.74 tff(20136,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20135, 20131, 20082])).
% 79.40/51.74 tff(20137,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s7) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s6)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s7)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20138,plain,
% 79.40/51.74 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20137, 11855, 10936, 20081])).
% 79.40/51.74 tff(20139,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)), introduced(assumption)).
% 79.40/51.74 tff(20140,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)), introduced(assumption)).
% 79.40/51.74 tff(20141,plain,
% 79.40/51.74 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20142,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20143,plain,
% 79.40/51.74 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 79.40/51.74 tff(20144,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20143, 3886, 20140, 20139])).
% 79.40/51.74 tff(20145,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20146,plain,
% 79.40/51.74 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20145, 20138])).
% 79.40/51.74 tff(20147,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)), introduced(assumption)).
% 79.40/51.74 tff(20148,assumption,(node9(c_e_h_2, c_m, s9)), introduced(assumption)).
% 79.40/51.74 tff(20149,plain,
% 79.40/51.74 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20150,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20151,plain,
% 79.40/51.74 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20150, 20149])).
% 79.40/51.74 tff(20152,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20151, 238, 20148, 20147])).
% 79.40/51.74 tff(20153,plain,((~node9(c_e_h_2, c_m, s9)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20154,plain,
% 79.40/51.74 (~node9(c_e_h_2, c_m, s9)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20153, 20146])).
% 79.40/51.74 tff(20155,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.40/51.74 tff(20156,assumption,(~node9(c_e_h_2, c_m, s9)), introduced(assumption)).
% 79.40/51.74 tff(20157,assumption,(node10(c_e_h_2, c_m, s9, s10)), introduced(assumption)).
% 79.40/51.74 tff(20158,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20159,plain,
% 79.40/51.74 ((node9(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node10(c_e_h_2, c_m, s9, s10))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10)))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20160,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node10(c_e_h_2, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10))))),
% 79.40/51.74 inference(monotonicity,[status(thm)],[20159])).
% 79.40/51.74 tff(20161,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node10(c_e_h_2, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10)))),
% 79.40/51.74 inference(transitivity,[status(thm)],[20160, 20158])).
% 79.40/51.74 tff(20162,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node10(c_e_h_2, c_m, s9, s10)))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20163,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9) | (~node10(c_e_h_2, c_m, s9, s10))),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 79.40/51.74 tff(20164,plain,
% 79.40/51.74 ($false),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20163, 252, 20157, 20155, 20156])).
% 79.40/51.74 tff(20165,plain,((~node10(c_e_h_2, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | node9(c_e_h_2, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.74 tff(20166,plain,
% 79.40/51.74 (~node10(c_e_h_2, c_m, s9, s10)),
% 79.40/51.74 inference(unit_resolution,[status(thm)],[20165, 20155, 20156])).
% 79.40/51.74 tff(20167,plain,
% 79.40/51.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_2, c_m, s9, s10) | node11(c_e_h_2, c_m, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_2, c_m, s9, s10) | node11(c_e_h_2, c_m, s9, s10))),
% 79.40/51.74 inference(rewrite,[status(thm)],[])).
% 79.40/51.74 tff(20168,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_2, c_m, s9, s10) | node11(c_e_h_2, c_m, s9, s10))),
% 79.40/51.74 inference(quant_inst,[status(thm)],[])).
% 79.40/51.74 tff(20169,plain,
% 79.40/51.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_2, c_m, s9, s10) | node11(c_e_h_2, c_m, s9, s10)),
% 79.40/51.74 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 79.40/51.74 tff(20170,plain,
% 79.40/51.74 (node10(c_e_h_2, c_m, s9, s10) | node11(c_e_h_2, c_m, s9, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20169, 193, 6039])).
% 79.40/51.75 tff(20171,plain,
% 79.40/51.75 (node11(c_e_h_2, c_m, s9, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20170, 20166])).
% 79.40/51.75 tff(20172,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node11(c_e_h_2, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node11(c_e_h_2, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20173,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node11(c_e_h_2, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20174,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | (~node11(c_e_h_2, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20173, 20172])).
% 79.40/51.75 tff(20175,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20174, 282, 20171, 12259, 20155])).
% 79.40/51.75 tff(20176,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9) | node9(c_e_h_2, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20177,plain,
% 79.40/51.75 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20176, 20154, 12008])).
% 79.40/51.75 tff(20178,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.75 tff(20179,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.40/51.75 tff(20180,plain,
% 79.40/51.75 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20181,plain,
% 79.40/51.75 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20182,plain,
% 79.40/51.75 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20181, 20180])).
% 79.40/51.75 tff(20183,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20182, 3838, 20179, 20178])).
% 79.40/51.75 tff(20184,plain,((~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20185,plain,
% 79.40/51.75 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20184, 20177])).
% 79.40/51.75 tff(20186,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.75 tff(20187,assumption,(node20(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.75 tff(20188,plain,
% 79.40/51.75 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s10))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20189,plain,
% 79.40/51.75 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s10))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20190,plain,
% 79.40/51.75 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s10)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 79.40/51.75 tff(20191,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20190, 334, 20187, 20186])).
% 79.40/51.75 tff(20192,plain,((~node20(c_e_h_2, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20193,plain,
% 79.40/51.75 (~node20(c_e_h_2, c_l, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20192, 20185])).
% 79.40/51.75 tff(20194,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.40/51.75 tff(20195,assumption,(~node20(c_e_h_2, c_l, s10)), introduced(assumption)).
% 79.40/51.75 tff(20196,assumption,(node22(c_e_h_2, c_l, s10, s11)), introduced(assumption)).
% 79.40/51.75 tff(20197,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node22(c_e_h_2, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node22(c_e_h_2, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20198,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node22(c_e_h_2, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20199,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node22(c_e_h_2, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20198, 20197])).
% 79.40/51.75 tff(20200,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20199, 437, 20196, 19946, 20194])).
% 79.40/51.75 tff(20201,plain,((~node22(c_e_h_2, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20202,plain,
% 79.40/51.75 (~node22(c_e_h_2, c_l, s10, s11)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20201, 20194, 19946])).
% 79.40/51.75 tff(20203,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_l, s10, s11) | node22(c_e_h_2, c_l, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_l, s10, s11) | node22(c_e_h_2, c_l, s10, s11))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20204,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_l, s10, s11) | node22(c_e_h_2, c_l, s10, s11))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20205,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_l, s10, s11) | node22(c_e_h_2, c_l, s10, s11)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20204, 20203])).
% 79.40/51.75 tff(20206,plain,
% 79.40/51.75 (node21(c_e_h_2, c_l, s10, s11) | node22(c_e_h_2, c_l, s10, s11)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20205, 383, 8015])).
% 79.40/51.75 tff(20207,plain,
% 79.40/51.75 (node21(c_e_h_2, c_l, s10, s11)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20206, 20202])).
% 79.40/51.75 tff(20208,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node21(c_e_h_2, c_l, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node21(c_e_h_2, c_l, s10, s11)))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20209,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node21(c_e_h_2, c_l, s10, s11)))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20210,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | (~node21(c_e_h_2, c_l, s10, s11))),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 79.40/51.75 tff(20211,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20210, 348, 20207, 20195, 20194])).
% 79.40/51.75 tff(20212,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | node20(c_e_h_2, c_l, s10) | m_and_h_gate_v_out(c_e_h_2, c_l, s10)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20213,plain,
% 79.40/51.75 ((~m_and_h_gate_v_out(c_e_h_2, c_l, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s10)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20212, 20193])).
% 79.40/51.75 tff(20214,plain,
% 79.40/51.75 (~m_and_h_gate_v_out(c_e_h_2, c_l, s11)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20213, 19944])).
% 79.40/51.75 tff(20215,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s11)), introduced(assumption)).
% 79.40/51.75 tff(20216,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.40/51.75 tff(20217,plain,
% 79.40/51.75 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20218,plain,
% 79.40/51.75 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20219,plain,
% 79.40/51.75 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11)),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 79.40/51.75 tff(20220,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20219, 1835, 20216, 20215])).
% 79.40/51.75 tff(20221,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20222,plain,
% 79.40/51.75 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20221, 20214])).
% 79.40/51.75 tff(20223,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s11)), introduced(assumption)).
% 79.40/51.75 tff(20224,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s12)), introduced(assumption)).
% 79.40/51.75 tff(20225,assumption,(node6(c_e_h_2, c_j, s11, s12)), introduced(assumption)).
% 79.40/51.75 tff(20226,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20227,plain,
% 79.40/51.75 (((~node6(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20228,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12))))),
% 79.40/51.75 inference(monotonicity,[status(thm)],[20227])).
% 79.40/51.75 tff(20229,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(transitivity,[status(thm)],[20228, 20226])).
% 79.40/51.75 tff(20230,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20231,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node6(c_e_h_2, c_j, s11, s12))),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 79.40/51.75 tff(20232,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20231, 1851, 20223, 20224, 20225])).
% 79.40/51.75 tff(20233,plain,((~node6(c_e_h_2, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12))), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20234,plain,
% 79.40/51.75 (~node6(c_e_h_2, c_j, s11, s12)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20233, 20224, 20223])).
% 79.40/51.75 tff(20235,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s11)), introduced(assumption)).
% 79.40/51.75 tff(20236,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)), introduced(assumption)).
% 79.40/51.75 tff(20237,assumption,(node5(c_e_h_2, c_j, s11, s12)), introduced(assumption)).
% 79.40/51.75 tff(20238,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20239,plain,
% 79.40/51.75 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | (~node5(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20240,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | (~node5(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12))))),
% 79.40/51.75 inference(monotonicity,[status(thm)],[20239])).
% 79.40/51.75 tff(20241,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | (~node5(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(transitivity,[status(thm)],[20240, 20238])).
% 79.40/51.75 tff(20242,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | (~node5(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20243,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | (~node5(c_e_h_2, c_j, s11, s12))),
% 79.40/51.75 inference(modus_ponens,[status(thm)],[20242, 20241])).
% 79.40/51.75 tff(20244,plain,
% 79.40/51.75 ($false),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20243, 1888, 20224, 20237, 20236, 20235])).
% 79.40/51.75 tff(20245,plain,((~node5(c_e_h_2, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.75 tff(20246,plain,
% 79.40/51.75 (~node5(c_e_h_2, c_j, s11, s12)),
% 79.40/51.75 inference(unit_resolution,[status(thm)],[20245, 20224, 20236, 20235])).
% 79.40/51.75 tff(20247,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20248,plain,
% 79.40/51.75 ((node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12) | (~trans(s11, s12))) <=> ((~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12))),
% 79.40/51.75 inference(rewrite,[status(thm)],[])).
% 79.40/51.75 tff(20249,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12) | (~trans(s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12)))),
% 79.40/51.75 inference(monotonicity,[status(thm)],[20248])).
% 79.40/51.75 tff(20250,plain,
% 79.40/51.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12) | (~trans(s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12))),
% 79.40/51.75 inference(transitivity,[status(thm)],[20249, 20247])).
% 79.40/51.75 tff(20251,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12) | (~trans(s11, s12)))),
% 79.40/51.75 inference(quant_inst,[status(thm)],[])).
% 79.40/51.75 tff(20252,plain,
% 79.40/51.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12)),
% 79.40/51.76 inference(modus_ponens,[status(thm)],[20251, 20250])).
% 79.40/51.76 tff(20253,plain,
% 79.40/51.76 (node6(c_e_h_2, c_j, s11, s12) | node5(c_e_h_2, c_j, s11, s12)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20252, 1870, 8210])).
% 79.40/51.76 tff(20254,plain,
% 79.40/51.76 ($false),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20253, 20246, 20234])).
% 79.40/51.76 tff(20255,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_in1(c_e_h_2, c_j, s11) | m_or_h_gate_v_out(c_e_h_2, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.76 tff(20256,plain,
% 79.40/51.76 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s11) | m_or_h_gate_v_out(c_e_h_2, c_j, s11)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20255, 20222])).
% 79.40/51.76 tff(20257,plain,
% 79.40/51.76 (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20256, 20080, 20017])).
% 79.40/51.76 tff(20258,plain,
% 79.40/51.76 (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[15949, 18712])).
% 79.40/51.76 tff(20259,plain,
% 79.40/51.76 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[15941, 20258, 15878])).
% 79.40/51.76 tff(20260,plain,
% 79.40/51.76 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20261,plain,
% 79.40/51.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))),
% 79.40/51.76 inference(quant_inst,[status(thm)],[])).
% 79.40/51.76 tff(20262,plain,
% 79.40/51.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 79.40/51.76 inference(modus_ponens,[status(thm)],[20261, 20260])).
% 79.40/51.76 tff(20263,plain,
% 79.40/51.76 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20262, 397, 20259])).
% 79.40/51.76 tff(20264,plain,
% 79.40/51.76 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s11))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20265,plain,
% 79.40/51.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s11))),
% 79.40/51.76 inference(quant_inst,[status(thm)],[])).
% 79.40/51.76 tff(20266,plain,
% 79.40/51.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 79.40/51.76 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 79.40/51.76 tff(20267,plain,
% 79.40/51.76 (~node20(c_e_h_1, c_q, s11)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20266, 22, 20263])).
% 79.40/51.76 tff(20268,assumption,(~node20(c_e_h_1, c_q, s11)), introduced(assumption)).
% 79.40/51.76 tff(20269,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s11)), introduced(assumption)).
% 79.40/51.76 tff(20270,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s12)), introduced(assumption)).
% 79.40/51.76 tff(20271,assumption,(node22(c_e_h_1, c_q, s11, s12)), introduced(assumption)).
% 79.40/51.76 tff(20272,plain,
% 79.40/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node22(c_e_h_1, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node22(c_e_h_1, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20273,plain,
% 79.40/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node22(c_e_h_1, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11))),
% 79.40/51.76 inference(quant_inst,[status(thm)],[])).
% 79.40/51.76 tff(20274,plain,
% 79.40/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node22(c_e_h_1, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 79.40/51.76 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 79.40/51.76 tff(20275,plain,
% 79.40/51.76 ($false),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20274, 437, 20270, 20269, 20271])).
% 79.40/51.76 tff(20276,plain,((~node22(c_e_h_1, c_q, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11)), inference(lemma,lemma(discharge,[]))).
% 79.40/51.76 tff(20277,plain,
% 79.40/51.76 (~node22(c_e_h_1, c_q, s11, s12)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20276, 20270, 20269])).
% 79.40/51.76 tff(20278,plain,
% 79.40/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_q, s11, s12) | node22(c_e_h_1, c_q, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_q, s11, s12) | node22(c_e_h_1, c_q, s11, s12))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20279,plain,
% 79.40/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_q, s11, s12) | node22(c_e_h_1, c_q, s11, s12))),
% 79.40/51.76 inference(quant_inst,[status(thm)],[])).
% 79.40/51.76 tff(20280,plain,
% 79.40/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_q, s11, s12) | node22(c_e_h_1, c_q, s11, s12)),
% 79.40/51.76 inference(modus_ponens,[status(thm)],[20279, 20278])).
% 79.40/51.76 tff(20281,plain,
% 79.40/51.76 (node21(c_e_h_1, c_q, s11, s12) | node22(c_e_h_1, c_q, s11, s12)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20280, 383, 8210])).
% 79.40/51.76 tff(20282,plain,
% 79.40/51.76 (node21(c_e_h_1, c_q, s11, s12)),
% 79.40/51.76 inference(unit_resolution,[status(thm)],[20281, 20277])).
% 79.40/51.76 tff(20283,plain,
% 79.40/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12)))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20284,plain,
% 79.40/51.76 ((node20(c_e_h_1, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node21(c_e_h_1, c_q, s11, s12))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12)))),
% 79.40/51.76 inference(rewrite,[status(thm)],[])).
% 79.40/51.76 tff(20285,plain,
% 79.40/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node21(c_e_h_1, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12))))),
% 79.40/51.76 inference(monotonicity,[status(thm)],[20284])).
% 79.40/51.76 tff(20286,plain,
% 79.40/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node21(c_e_h_1, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12)))),
% 79.49/51.76 inference(transitivity,[status(thm)],[20285, 20283])).
% 79.49/51.76 tff(20287,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | (~node21(c_e_h_1, c_q, s11, s12)))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20288,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | (~node21(c_e_h_1, c_q, s11, s12))),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20287, 20286])).
% 79.49/51.76 tff(20289,plain,
% 79.49/51.76 ($false),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20288, 348, 20270, 20282, 20268])).
% 79.49/51.76 tff(20290,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s12)) | node20(c_e_h_1, c_q, s11) | m_and_h_gate_v_out(c_e_h_1, c_q, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.76 tff(20291,plain,
% 79.49/51.76 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20290, 20267, 20067])).
% 79.49/51.76 tff(20292,plain,
% 79.49/51.76 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s12))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20293,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s12))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20294,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s12)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 79.49/51.76 tff(20295,plain,
% 79.49/51.76 (node3(c_e_h_1, c_e_h_2, s12)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20294, 2823, 1791])).
% 79.49/51.76 tff(20296,plain,
% 79.49/51.76 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s12)) | (~node3(c_e_h_1, c_e_h_2, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s12)) | (~node3(c_e_h_1, c_e_h_2, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20297,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s12)) | (~node3(c_e_h_1, c_e_h_2, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20298,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s12)) | (~node3(c_e_h_1, c_e_h_2, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 79.49/51.76 tff(20299,plain,
% 79.49/51.76 ((~m_cell_v_ack(c_e_h_2, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20298, 1808, 20295])).
% 79.49/51.76 tff(20300,plain,
% 79.49/51.76 (~m_cell_v_ack(c_e_h_2, s12)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20299, 20291])).
% 79.49/51.76 tff(20301,plain,
% 79.49/51.76 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)) | m_cell_v_ack(c_e_h_2, s12))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)) | m_cell_v_ack(c_e_h_2, s12))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20302,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)) | m_cell_v_ack(c_e_h_2, s12))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20303,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)) | m_cell_v_ack(c_e_h_2, s12)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 79.49/51.76 tff(20304,plain,
% 79.49/51.76 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20303, 1820, 20300])).
% 79.49/51.76 tff(20305,assumption,(m_and_h_gate_v_out(c_e_h_2, c_l, s12)), introduced(assumption)).
% 79.49/51.76 tff(20306,plain,
% 79.49/51.76 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20307,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20308,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20307, 20306])).
% 79.49/51.76 tff(20309,plain,
% 79.49/51.76 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s9)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20308, 3976])).
% 79.49/51.76 tff(20310,plain,
% 79.49/51.76 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20309, 12008])).
% 79.49/51.76 tff(20311,plain,
% 79.49/51.76 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20312,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s7))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20313,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s7)) | m_c_h_element_v_out(c_e_h_2, c_h, s7)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20312, 20311])).
% 79.49/51.76 tff(20314,plain,
% 79.49/51.76 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s7)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20313, 8, 19495])).
% 79.49/51.76 tff(20315,plain,
% 79.49/51.76 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s7))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20316,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s7))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20317,plain,
% 79.49/51.76 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s7)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20316, 20315])).
% 79.49/51.76 tff(20318,plain,
% 79.49/51.76 (~node20(c_e_h_2, c_i, s7)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20317, 22, 20314])).
% 79.49/51.76 tff(20319,assumption,(~node20(c_e_h_2, c_i, s7)), introduced(assumption)).
% 79.49/51.76 tff(20320,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s8)), introduced(assumption)).
% 79.49/51.76 tff(20321,assumption,(node22(c_e_h_2, c_i, s7, s8)), introduced(assumption)).
% 79.49/51.76 tff(20322,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node22(c_e_h_2, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node22(c_e_h_2, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20323,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node22(c_e_h_2, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20324,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node22(c_e_h_2, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20323, 20322])).
% 79.49/51.76 tff(20325,plain,
% 79.49/51.76 ($false),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20324, 437, 10922, 20320, 20321])).
% 79.49/51.76 tff(20326,plain,((~node22(c_e_h_2, c_i, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.76 tff(20327,plain,
% 79.49/51.76 (~node22(c_e_h_2, c_i, s7, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20326, 20320, 10922])).
% 79.49/51.76 tff(20328,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_i, s7, s8) | node22(c_e_h_2, c_i, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_i, s7, s8) | node22(c_e_h_2, c_i, s7, s8))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20329,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_i, s7, s8) | node22(c_e_h_2, c_i, s7, s8))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20330,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_i, s7, s8) | node22(c_e_h_2, c_i, s7, s8)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 79.49/51.76 tff(20331,plain,
% 79.49/51.76 (node21(c_e_h_2, c_i, s7, s8) | node22(c_e_h_2, c_i, s7, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20330, 383, 2456])).
% 79.49/51.76 tff(20332,plain,
% 79.49/51.76 (node21(c_e_h_2, c_i, s7, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20331, 20327])).
% 79.49/51.76 tff(20333,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node21(c_e_h_2, c_i, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node21(c_e_h_2, c_i, s7, s8)))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20334,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node21(c_e_h_2, c_i, s7, s8)))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20335,plain,
% 79.49/51.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s7) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | (~node21(c_e_h_2, c_i, s7, s8))),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 79.49/51.76 tff(20336,plain,
% 79.49/51.76 ($false),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20335, 348, 20320, 20332, 20319])).
% 79.49/51.76 tff(20337,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s8)) | node20(c_e_h_2, c_i, s7) | m_and_h_gate_v_out(c_e_h_2, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.76 tff(20338,plain,
% 79.49/51.76 (~m_and_h_gate_v_out(c_e_h_2, c_i, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20337, 10921, 20318])).
% 79.49/51.76 tff(20339,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s8)), introduced(assumption)).
% 79.49/51.76 tff(20340,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s8)), introduced(assumption)).
% 79.49/51.76 tff(20341,plain,
% 79.49/51.76 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20342,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))),
% 79.49/51.76 inference(quant_inst,[status(thm)],[])).
% 79.49/51.76 tff(20343,plain,
% 79.49/51.76 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8)),
% 79.49/51.76 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 79.49/51.76 tff(20344,plain,
% 79.49/51.76 ($false),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20343, 4785, 20340, 20339])).
% 79.49/51.76 tff(20345,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.76 tff(20346,plain,
% 79.49/51.76 (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[20345, 20338])).
% 79.49/51.76 tff(20347,plain,
% 79.49/51.76 (~m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 79.49/51.76 inference(unit_resolution,[status(thm)],[12533, 11855, 10936])).
% 79.49/51.76 tff(20348,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s8)), introduced(assumption)).
% 79.49/51.76 tff(20349,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.49/51.76 tff(20350,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s8)), introduced(assumption)).
% 79.49/51.76 tff(20351,assumption,(node18(c_e_h_2, c_e, s8, s9)), introduced(assumption)).
% 79.49/51.76 tff(20352,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20353,plain,
% 79.49/51.76 (((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~node18(c_e_h_2, c_e, s8, s9))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.76 inference(rewrite,[status(thm)],[])).
% 79.49/51.76 tff(20354,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~node18(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9))))),
% 79.49/51.76 inference(monotonicity,[status(thm)],[20353])).
% 79.49/51.76 tff(20355,plain,
% 79.49/51.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~node18(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.76 inference(transitivity,[status(thm)],[20354, 20352])).
% 79.49/51.77 tff(20356,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~node18(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20357,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node18(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20356, 20355])).
% 79.49/51.77 tff(20358,plain,
% 79.49/51.77 ($false),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20357, 481, 20350, 20349, 20351])).
% 79.49/51.77 tff(20359,plain,((~node18(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.77 tff(20360,plain,
% 79.49/51.77 (~node18(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20359, 20350, 20349])).
% 79.49/51.77 tff(20361,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_2, c_e, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20362,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20363,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 79.49/51.77 tff(20364,plain,
% 79.49/51.77 (node19(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20363, 494, 3713])).
% 79.49/51.77 tff(20365,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20366,plain,
% 79.49/51.77 ((node17(c_e_h_2, c_e, s8) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9))) <=> (node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20367,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s8) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(monotonicity,[status(thm)],[20366])).
% 79.49/51.77 tff(20368,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s8) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(transitivity,[status(thm)],[20367, 20365])).
% 79.49/51.77 tff(20369,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s8) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20370,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)) | node17(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 79.49/51.77 tff(20371,plain,
% 79.49/51.77 (node18(c_e_h_2, c_e, s8, s9) | node17(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20370, 508, 20364])).
% 79.49/51.77 tff(20372,plain,
% 79.49/51.77 (node17(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20371, 20360])).
% 79.49/51.77 tff(20373,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s8)), introduced(assumption)).
% 79.49/51.77 tff(20374,assumption,(node14(c_e_h_2, c_e, s8, s9)), introduced(assumption)).
% 79.49/51.77 tff(20375,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20376,plain,
% 79.49/51.77 (((~node14(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20377,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9))))),
% 79.49/51.77 inference(monotonicity,[status(thm)],[20376])).
% 79.49/51.77 tff(20378,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(transitivity,[status(thm)],[20377, 20375])).
% 79.49/51.77 tff(20379,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20380,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~node14(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20379, 20378])).
% 79.49/51.77 tff(20381,plain,
% 79.49/51.77 ($false),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20380, 575, 20349, 20374, 20373])).
% 79.49/51.77 tff(20382,plain,((~node14(c_e_h_2, c_e, s8, s9)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.77 tff(20383,plain,
% 79.49/51.77 (~node14(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20382, 20349, 20373])).
% 79.49/51.77 tff(20384,assumption,(node15(c_e_h_2, c_e, s8, s9)), introduced(assumption)).
% 79.49/51.77 tff(20385,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node15(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node15(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20386,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node15(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20387,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9)) | (~node15(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20386, 20385])).
% 79.49/51.77 tff(20388,plain,
% 79.49/51.77 ($false),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20387, 612, 20350, 20349, 20384])).
% 79.49/51.77 tff(20389,plain,((~node15(c_e_h_2, c_e, s8, s9)) | m_c_h_element_v_out(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.77 tff(20390,plain,
% 79.49/51.77 (~node15(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20389, 20350, 20349])).
% 79.49/51.77 tff(20391,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20392,plain,
% 79.49/51.77 ((node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9))) <=> ((~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20393,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(monotonicity,[status(thm)],[20392])).
% 79.49/51.77 tff(20394,plain,
% 79.49/51.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9))),
% 79.49/51.77 inference(transitivity,[status(thm)],[20393, 20391])).
% 79.49/51.77 tff(20395,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9) | (~node19(c_e_h_2, c_e, s8, s9)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20396,plain,
% 79.49/51.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s8, s9)) | node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20395, 20394])).
% 79.49/51.77 tff(20397,plain,
% 79.49/51.77 (node16(c_e_h_2, c_e, s8) | node14(c_e_h_2, c_e, s8, s9) | node15(c_e_h_2, c_e, s8, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20396, 594, 20364])).
% 79.49/51.77 tff(20398,plain,
% 79.49/51.77 (node16(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20397, 20390, 20383])).
% 79.49/51.77 tff(20399,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | m_c_h_element_v_in2(c_e_h_2, c_e, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | m_c_h_element_v_in2(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20400,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | m_c_h_element_v_in2(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20401,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | m_c_h_element_v_in2(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20400, 20399])).
% 79.49/51.77 tff(20402,plain,
% 79.49/51.77 ((~node16(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20401, 559, 20373])).
% 79.49/51.77 tff(20403,plain,
% 79.49/51.77 (m_c_h_element_v_in2(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20402, 20398])).
% 79.49/51.77 tff(20404,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20405,plain,
% 79.49/51.77 ((m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | (~node17(c_e_h_2, c_e, s8))) <=> ((~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20406,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | (~node17(c_e_h_2, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(monotonicity,[status(thm)],[20405])).
% 79.49/51.77 tff(20407,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | (~node17(c_e_h_2, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(transitivity,[status(thm)],[20406, 20404])).
% 79.49/51.77 tff(20408,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | (~node17(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20409,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8)) | m_c_h_element_v_in1(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 79.49/51.77 tff(20410,plain,
% 79.49/51.77 ((~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20409, 1172, 20373])).
% 79.49/51.77 tff(20411,plain,
% 79.49/51.77 ($false),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20410, 20403, 20372])).
% 79.49/51.77 tff(20412,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s8) | m_c_h_element_v_in1(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.77 tff(20413,plain,
% 79.49/51.77 (m_c_h_element_v_in1(c_e_h_2, c_e, s8)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20412, 20350, 20349])).
% 79.49/51.77 tff(20414,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20415,plain,
% 79.49/51.77 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(rewrite,[status(thm)],[])).
% 79.49/51.77 tff(20416,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8))))),
% 79.49/51.77 inference(monotonicity,[status(thm)],[20415])).
% 79.49/51.77 tff(20417,plain,
% 79.49/51.77 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(transitivity,[status(thm)],[20416, 20414])).
% 79.49/51.77 tff(20418,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s8)) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)))),
% 79.49/51.77 inference(quant_inst,[status(thm)],[])).
% 79.49/51.77 tff(20419,plain,
% 79.49/51.77 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~node17(c_e_h_2, c_e, s8)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s8))),
% 79.49/51.77 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 79.49/51.77 tff(20420,plain,
% 79.49/51.77 ($false),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20419, 541, 20372, 20413, 20348])).
% 79.49/51.77 tff(20421,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s8) | m_c_h_element_v_in2(c_e_h_2, c_e, s8) | (~m_c_h_element_v_out(c_e_h_2, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.77 tff(20422,plain,
% 79.49/51.77 (~m_c_h_element_v_out(c_e_h_2, c_e, s9)),
% 79.49/51.77 inference(unit_resolution,[status(thm)],[20421, 20347, 20346])).
% 79.49/51.77 tff(20423,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.49/51.77 tff(20424,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)), introduced(assumption)).
% 79.49/51.77 tff(20425,plain,
% 79.49/51.77 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9) | m_c_h_element_v_out(c_e_h_2, c_e, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9) | m_c_h_element_v_out(c_e_h_2, c_e, s9))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20426,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9) | m_c_h_element_v_out(c_e_h_2, c_e, s9))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20427,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9) | m_c_h_element_v_out(c_e_h_2, c_e, s9)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 79.49/51.78 tff(20428,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20427, 3964, 20424, 20423])).
% 79.49/51.78 tff(20429,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s9) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20430,plain,
% 79.49/51.78 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20429, 20422])).
% 79.49/51.78 tff(20431,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.49/51.78 tff(20432,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)), introduced(assumption)).
% 79.49/51.78 tff(20433,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)), introduced(assumption)).
% 79.49/51.78 tff(20434,assumption,(node10(c_e_h_2, c_n, s9, s10)), introduced(assumption)).
% 79.49/51.78 tff(20435,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20436,plain,
% 79.49/51.78 (((~node10(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20437,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10))))),
% 79.49/51.78 inference(monotonicity,[status(thm)],[20436])).
% 79.49/51.78 tff(20438,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(transitivity,[status(thm)],[20437, 20435])).
% 79.49/51.78 tff(20439,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20440,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node10(c_e_h_2, c_n, s9, s10))),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 79.49/51.78 tff(20441,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20440, 160, 20434, 20432, 20433, 20431])).
% 79.49/51.78 tff(20442,plain,((~node10(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20443,plain,
% 79.49/51.78 (~node10(c_e_h_2, c_n, s9, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20442, 20431, 20433, 20432])).
% 79.49/51.78 tff(20444,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_2, c_n, s9, s10) | node11(c_e_h_2, c_n, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_2, c_n, s9, s10) | node11(c_e_h_2, c_n, s9, s10))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20445,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s9, s10)) | node10(c_e_h_2, c_n, s9, s10) | node11(c_e_h_2, c_n, s9, s10))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20446,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s9, s10)) | node10(c_e_h_2, c_n, s9, s10) | node11(c_e_h_2, c_n, s9, s10)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20445, 20444])).
% 79.49/51.78 tff(20447,plain,
% 79.49/51.78 (node10(c_e_h_2, c_n, s9, s10) | node11(c_e_h_2, c_n, s9, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20446, 193, 6039])).
% 79.49/51.78 tff(20448,plain,
% 79.49/51.78 (node11(c_e_h_2, c_n, s9, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20447, 20443])).
% 79.49/51.78 tff(20449,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20450,plain,
% 79.49/51.78 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node11(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20451,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node11(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10))))),
% 79.49/51.78 inference(monotonicity,[status(thm)],[20450])).
% 79.49/51.78 tff(20452,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node11(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10)))),
% 79.49/51.78 inference(transitivity,[status(thm)],[20451, 20449])).
% 79.49/51.78 tff(20453,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~node11(c_e_h_2, c_n, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20454,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~node11(c_e_h_2, c_n, s9, s10))),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20453, 20452])).
% 79.49/51.78 tff(20455,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20454, 208, 20448, 20431, 20140])).
% 79.49/51.78 tff(20456,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20457,plain,
% 79.49/51.78 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20456, 20430, 20138, 20310])).
% 79.49/51.78 tff(20458,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.49/51.78 tff(20459,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.49/51.78 tff(20460,plain,
% 79.49/51.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20461,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20462,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20461, 20460])).
% 79.49/51.78 tff(20463,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20462, 3886, 20459, 20458])).
% 79.49/51.78 tff(20464,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20465,plain,
% 79.49/51.78 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20464, 20457])).
% 79.49/51.78 tff(20466,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.49/51.78 tff(20467,assumption,(node9(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.49/51.78 tff(20468,plain,
% 79.49/51.78 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20469,plain,
% 79.49/51.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20470,plain,
% 79.49/51.78 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 79.49/51.78 tff(20471,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20470, 238, 20467, 20466])).
% 79.49/51.78 tff(20472,plain,((~node9(c_e_h_2, c_m, s10)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20473,plain,
% 79.49/51.78 (~node9(c_e_h_2, c_m, s10)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20472, 20465])).
% 79.49/51.78 tff(20474,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.49/51.78 tff(20475,assumption,(~node9(c_e_h_2, c_m, s10)), introduced(assumption)).
% 79.49/51.78 tff(20476,assumption,(node11(c_e_h_2, c_m, s10, s11)), introduced(assumption)).
% 79.49/51.78 tff(20477,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node11(c_e_h_2, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node11(c_e_h_2, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20478,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node11(c_e_h_2, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20479,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node11(c_e_h_2, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 79.49/51.78 tff(20480,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20479, 282, 20476, 20179, 20474])).
% 79.49/51.78 tff(20481,plain,((~node11(c_e_h_2, c_m, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20482,plain,
% 79.49/51.78 (~node11(c_e_h_2, c_m, s10, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20481, 20474, 20179])).
% 79.49/51.78 tff(20483,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_2, c_m, s10, s11) | node11(c_e_h_2, c_m, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_2, c_m, s10, s11) | node11(c_e_h_2, c_m, s10, s11))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20484,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_2, c_m, s10, s11) | node11(c_e_h_2, c_m, s10, s11))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20485,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_2, c_m, s10, s11) | node11(c_e_h_2, c_m, s10, s11)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 79.49/51.78 tff(20486,plain,
% 79.49/51.78 (node10(c_e_h_2, c_m, s10, s11) | node11(c_e_h_2, c_m, s10, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20485, 193, 8015])).
% 79.49/51.78 tff(20487,plain,
% 79.49/51.78 (node10(c_e_h_2, c_m, s10, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20486, 20482])).
% 79.49/51.78 tff(20488,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20489,plain,
% 79.49/51.78 ((node9(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node10(c_e_h_2, c_m, s10, s11))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20490,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node10(c_e_h_2, c_m, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11))))),
% 79.49/51.78 inference(monotonicity,[status(thm)],[20489])).
% 79.49/51.78 tff(20491,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node10(c_e_h_2, c_m, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11)))),
% 79.49/51.78 inference(transitivity,[status(thm)],[20490, 20488])).
% 79.49/51.78 tff(20492,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | (~node10(c_e_h_2, c_m, s10, s11)))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20493,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | (~node10(c_e_h_2, c_m, s10, s11))),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 79.49/51.78 tff(20494,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20493, 252, 20487, 20475, 20474])).
% 79.49/51.78 tff(20495,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)) | node9(c_e_h_2, c_m, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20496,plain,
% 79.49/51.78 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20495, 20473, 20177])).
% 79.49/51.78 tff(20497,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.49/51.78 tff(20498,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.49/51.78 tff(20499,plain,
% 79.49/51.78 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20500,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20501,plain,
% 79.49/51.78 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 79.49/51.78 tff(20502,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20501, 3838, 20498, 20497])).
% 79.49/51.78 tff(20503,plain,((~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20504,plain,
% 79.49/51.78 (~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20503, 20496])).
% 79.49/51.78 tff(20505,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.49/51.78 tff(20506,assumption,(node20(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.49/51.78 tff(20507,plain,
% 79.49/51.78 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s11))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20508,plain,
% 79.49/51.78 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s11))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20509,plain,
% 79.49/51.78 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s11)),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 79.49/51.78 tff(20510,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20509, 334, 20506, 20505])).
% 79.49/51.78 tff(20511,plain,((~node20(c_e_h_2, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20512,plain,
% 79.49/51.78 (~node20(c_e_h_2, c_l, s11)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20511, 20504])).
% 79.49/51.78 tff(20513,assumption,(~node20(c_e_h_2, c_l, s11)), introduced(assumption)).
% 79.49/51.78 tff(20514,assumption,(node21(c_e_h_2, c_l, s11, s12)), introduced(assumption)).
% 79.49/51.78 tff(20515,plain,
% 79.49/51.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node21(c_e_h_2, c_l, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node21(c_e_h_2, c_l, s11, s12)))),
% 79.49/51.78 inference(rewrite,[status(thm)],[])).
% 79.49/51.78 tff(20516,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node21(c_e_h_2, c_l, s11, s12)))),
% 79.49/51.78 inference(quant_inst,[status(thm)],[])).
% 79.49/51.78 tff(20517,plain,
% 79.49/51.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node21(c_e_h_2, c_l, s11, s12))),
% 79.49/51.78 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 79.49/51.78 tff(20518,plain,
% 79.49/51.78 ($false),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20517, 348, 20514, 20305, 20513])).
% 79.49/51.78 tff(20519,plain,((~node21(c_e_h_2, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | node20(c_e_h_2, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.78 tff(20520,plain,
% 79.49/51.78 ((~node21(c_e_h_2, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12))),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20519, 20512])).
% 79.49/51.78 tff(20521,plain,
% 79.49/51.78 (~node21(c_e_h_2, c_l, s11, s12)),
% 79.49/51.78 inference(unit_resolution,[status(thm)],[20520, 20305])).
% 79.49/51.78 tff(20522,assumption,(node22(c_e_h_2, c_l, s11, s12)), introduced(assumption)).
% 79.49/51.79 tff(20523,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node22(c_e_h_2, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node22(c_e_h_2, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20524,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node22(c_e_h_2, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20525,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | (~node22(c_e_h_2, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20524, 20523])).
% 79.49/51.79 tff(20526,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20525, 437, 20522, 20305, 20216])).
% 79.49/51.79 tff(20527,plain,((~node22(c_e_h_2, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20528,plain,
% 79.49/51.79 (~node22(c_e_h_2, c_l, s11, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20527, 20305, 20216])).
% 79.49/51.79 tff(20529,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_l, s11, s12) | node22(c_e_h_2, c_l, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_l, s11, s12) | node22(c_e_h_2, c_l, s11, s12))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20530,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_l, s11, s12) | node22(c_e_h_2, c_l, s11, s12))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20531,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_l, s11, s12) | node22(c_e_h_2, c_l, s11, s12)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20530, 20529])).
% 79.49/51.79 tff(20532,plain,
% 79.49/51.79 (node21(c_e_h_2, c_l, s11, s12) | node22(c_e_h_2, c_l, s11, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20531, 383, 8210])).
% 79.49/51.79 tff(20533,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20532, 20528, 20521])).
% 79.49/51.79 tff(20534,plain,((~m_and_h_gate_v_out(c_e_h_2, c_l, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20535,plain,
% 79.49/51.79 (~m_and_h_gate_v_out(c_e_h_2, c_l, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20534, 20214])).
% 79.49/51.79 tff(20536,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_j, s12)), introduced(assumption)).
% 79.49/51.79 tff(20537,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_l, s12)), introduced(assumption)).
% 79.49/51.79 tff(20538,plain,
% 79.49/51.79 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s12))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s12))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20539,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s12))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20540,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s12)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 79.49/51.79 tff(20541,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20540, 1835, 20537, 20536])).
% 79.49/51.79 tff(20542,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)) | m_and_h_gate_v_out(c_e_h_2, c_l, s12)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20543,plain,
% 79.49/51.79 (~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20542, 20535])).
% 79.49/51.79 tff(20544,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_j, s12)), introduced(assumption)).
% 79.49/51.79 tff(20545,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)), introduced(assumption)).
% 79.49/51.79 tff(20546,assumption,(m_or_h_gate_v_out(c_e_h_2, c_j, s13)), introduced(assumption)).
% 79.49/51.79 tff(20547,assumption,(node5(c_e_h_2, c_j, s12, s13)), introduced(assumption)).
% 79.49/51.79 tff(20548,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20549,plain,
% 79.49/51.79 ((m_or_h_gate_v_in1(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~node5(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13))) <=> (m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20550,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~node5(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12)))),
% 79.49/51.79 inference(monotonicity,[status(thm)],[20549])).
% 79.49/51.79 tff(20551,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~node5(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(transitivity,[status(thm)],[20550, 20548])).
% 79.49/51.79 tff(20552,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~node5(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20553,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node5(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20552, 20551])).
% 79.49/51.79 tff(20554,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20553, 1888, 20546, 20547, 20545, 20544])).
% 79.49/51.79 tff(20555,plain,((~node5(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20556,plain,
% 79.49/51.79 (~node5(c_e_h_2, c_j, s12, s13)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20555, 20546, 20545, 20544])).
% 79.49/51.79 tff(20557,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s12)), introduced(assumption)).
% 79.49/51.79 tff(20558,assumption,(node6(c_e_h_2, c_j, s12, s13)), introduced(assumption)).
% 79.49/51.79 tff(20559,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13)))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20560,plain,
% 79.49/51.79 (((~node6(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12)) <=> (m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13)))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20561,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13))))),
% 79.49/51.79 inference(monotonicity,[status(thm)],[20560])).
% 79.49/51.79 tff(20562,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13)))),
% 79.49/51.79 inference(transitivity,[status(thm)],[20561, 20559])).
% 79.49/51.79 tff(20563,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20564,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | (~node6(c_e_h_2, c_j, s12, s13))),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20563, 20562])).
% 79.49/51.79 tff(20565,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20564, 1851, 20557, 20546, 20558])).
% 79.49/51.79 tff(20566,plain,((~node6(c_e_h_2, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s13))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20567,plain,
% 79.49/51.79 (~node6(c_e_h_2, c_j, s12, s13)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20566, 20546, 20557])).
% 79.49/51.79 tff(20568,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20569,plain,
% 79.49/51.79 ((node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13) | (~trans(s12, s13))) <=> ((~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20570,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13) | (~trans(s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13)))),
% 79.49/51.79 inference(monotonicity,[status(thm)],[20569])).
% 79.49/51.79 tff(20571,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13) | (~trans(s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13))),
% 79.49/51.79 inference(transitivity,[status(thm)],[20570, 20568])).
% 79.49/51.79 tff(20572,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13) | (~trans(s12, s13)))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20573,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 79.49/51.79 tff(20574,plain,
% 79.49/51.79 (node6(c_e_h_2, c_j, s12, s13) | node5(c_e_h_2, c_j, s12, s13)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20573, 1870, 8278])).
% 79.49/51.79 tff(20575,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20574, 20567, 20556])).
% 79.49/51.79 tff(20576,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12) | m_or_h_gate_v_in1(c_e_h_2, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20577,plain,
% 79.49/51.79 ((~m_or_h_gate_v_out(c_e_h_2, c_j, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20576, 20543])).
% 79.49/51.79 tff(20578,plain,
% 79.49/51.79 (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20577, 20304, 20257])).
% 79.49/51.79 tff(20579,assumption,(m_c_h_element_v_in2(c_e_h_2, c_h, s13)), introduced(assumption)).
% 79.49/51.79 tff(20580,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_j, s13)), introduced(assumption)).
% 79.49/51.79 tff(20581,plain,
% 79.49/51.79 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s13))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s13))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20582,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s13))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20583,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)) | m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20582, 20581])).
% 79.49/51.79 tff(20584,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20583, 1740, 20580, 20579])).
% 79.49/51.79 tff(20585,plain,(m_or_h_gate_v_out(c_e_h_2, c_j, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s13))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20586,plain,
% 79.49/51.79 (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20585, 20578])).
% 79.49/51.79 tff(20587,assumption,(m_c_h_element_v_in2(c_e_h_2, c_h, s12)), introduced(assumption)).
% 79.49/51.79 tff(20588,plain,
% 79.49/51.79 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20589,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_h, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20590,plain,
% 79.49/51.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s12)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 79.49/51.79 tff(20591,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20590, 1740, 20557, 20587])).
% 79.49/51.79 tff(20592,plain,(m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_c_h_element_v_in2(c_e_h_2, c_h, s12))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20593,plain,
% 79.49/51.79 (~m_c_h_element_v_in2(c_e_h_2, c_h, s12)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20592, 20257])).
% 79.49/51.79 tff(20594,plain,
% 79.49/51.79 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[17721, 17680])).
% 79.49/51.79 tff(20595,plain,
% 79.49/51.79 (~node20(c_e_h_1, c_c, s7)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[17828, 20594])).
% 79.49/51.79 tff(20596,plain,
% 79.49/51.79 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[17495, 18375, 17453])).
% 79.49/51.79 tff(20597,plain,
% 79.49/51.79 ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | node9(c_e_h_1, c_m, s8)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[8737, 5978])).
% 79.49/51.79 tff(20598,plain,
% 79.49/51.79 (node9(c_e_h_1, c_m, s8)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20597, 20596])).
% 79.49/51.79 tff(20599,plain,
% 79.49/51.79 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[8711, 238, 20598])).
% 79.49/51.79 tff(20600,plain,
% 79.49/51.79 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[8707, 3886, 20599])).
% 79.49/51.79 tff(20601,assumption,(~node9(c_e_h_1, c_n, s8)), introduced(assumption)).
% 79.49/51.79 tff(20602,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node11(c_e_h_1, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node11(c_e_h_1, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20603,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node11(c_e_h_1, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20604,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node11(c_e_h_1, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 79.49/51.79 tff(20605,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20604, 282, 8626, 16348, 16384])).
% 79.49/51.79 tff(20606,plain,((~node11(c_e_h_1, c_n, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20607,plain,
% 79.49/51.79 (~node11(c_e_h_1, c_n, s8, s9)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20606, 16384, 8626])).
% 79.49/51.79 tff(20608,plain,
% 79.49/51.79 (node10(c_e_h_1, c_n, s8, s9)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[16361, 20607])).
% 79.49/51.79 tff(20609,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20610,plain,
% 79.49/51.79 ((node9(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s8, s9))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.49/51.79 inference(rewrite,[status(thm)],[])).
% 79.49/51.79 tff(20611,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9))))),
% 79.49/51.79 inference(monotonicity,[status(thm)],[20610])).
% 79.49/51.79 tff(20612,plain,
% 79.49/51.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.49/51.79 inference(transitivity,[status(thm)],[20611, 20609])).
% 79.49/51.79 tff(20613,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~node10(c_e_h_1, c_n, s8, s9)))),
% 79.49/51.79 inference(quant_inst,[status(thm)],[])).
% 79.49/51.79 tff(20614,plain,
% 79.49/51.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | (~node10(c_e_h_1, c_n, s8, s9))),
% 79.49/51.79 inference(modus_ponens,[status(thm)],[20613, 20612])).
% 79.49/51.79 tff(20615,plain,
% 79.49/51.79 ($false),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20614, 252, 20608, 16384, 20601])).
% 79.49/51.79 tff(20616,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | node9(c_e_h_1, c_n, s8) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)), inference(lemma,lemma(discharge,[]))).
% 79.49/51.79 tff(20617,plain,
% 79.49/51.79 (node9(c_e_h_1, c_n, s8)),
% 79.49/51.79 inference(unit_resolution,[status(thm)],[20616, 20600, 16384])).
% 79.49/51.79 tff(20618,plain,
% 79.49/51.79 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8))),
% 79.49/51.80 inference(rewrite,[status(thm)],[])).
% 79.49/51.80 tff(20619,plain,
% 79.49/51.80 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8))),
% 79.49/51.80 inference(quant_inst,[status(thm)],[])).
% 79.49/51.80 tff(20620,plain,
% 79.49/51.80 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_1, c_n, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.49/51.80 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 79.49/51.80 tff(20621,plain,
% 79.49/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[20620, 12334, 20617])).
% 79.49/51.80 tff(20622,plain,
% 79.49/51.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))),
% 79.49/51.80 inference(rewrite,[status(thm)],[])).
% 79.49/51.80 tff(20623,plain,
% 79.49/51.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8)))),
% 79.49/51.80 inference(quant_inst,[status(thm)],[])).
% 79.49/51.80 tff(20624,plain,
% 79.49/51.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 79.49/51.80 inference(modus_ponens,[status(thm)],[20623, 20622])).
% 79.49/51.80 tff(20625,plain,
% 79.49/51.80 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[20624, 12541, 20621])).
% 79.49/51.80 tff(20626,plain,
% 79.49/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7))),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[16318, 5948])).
% 79.49/51.80 tff(20627,plain,
% 79.49/51.80 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[20626, 20600])).
% 79.49/51.80 tff(20628,plain,
% 79.49/51.80 (m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[8639, 20627])).
% 79.49/51.80 tff(20629,plain,
% 79.49/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 79.49/51.80 inference(rewrite,[status(thm)],[])).
% 79.49/51.80 tff(20630,plain,
% 79.49/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s7, s8)))),
% 79.49/51.80 inference(quant_inst,[status(thm)],[])).
% 79.49/51.80 tff(20631,plain,
% 79.49/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node18(c_e_h_1, c_e, s7, s8))),
% 79.49/51.80 inference(modus_ponens,[status(thm)],[20630, 20629])).
% 79.49/51.80 tff(20632,plain,
% 79.49/51.80 ($false),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[20631, 6627, 7752, 7503, 7636])).
% 79.49/51.80 tff(20633,plain,((~node18(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.49/51.80 tff(20634,plain,
% 79.49/51.80 (~node18(c_e_h_1, c_e, s7, s8)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[20633, 7752, 7503])).
% 79.49/51.80 tff(20635,plain,
% 79.49/51.80 (node17(c_e_h_1, c_e, s7)),
% 79.49/51.80 inference(unit_resolution,[status(thm)],[7665, 20634])).
% 79.49/51.80 tff(20636,plain,
% 79.49/51.80 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl(((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)) <=> ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)))),
% 79.49/51.80 inference(bind,[status(th)],[])).
% 79.49/51.80 tff(20637,plain,
% 79.49/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.49/51.80 inference(quant_intro,[status(thm)],[20636])).
% 79.49/51.80 tff(20638,plain,
% 79.49/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20639,plain,
% 79.54/51.80 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_in1(I0, I1, X))) <=> ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_in1(I0, I1, X))) | (~node14(I0, I1, X, Y))) <=> (((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)) | (~node14(I0, I1, X, Y))))), rewrite((((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y)) | (~node14(I0, I1, X, Y))) <=> ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_in1(I0, I1, X))) | (~node14(I0, I1, X, Y))) <=> ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))))),
% 79.54/51.80 inference(bind,[status(th)],[])).
% 79.54/51.80 tff(20640,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_in1(I0, I1, X))) | (~node14(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(quant_intro,[status(thm)],[20639])).
% 79.54/51.80 tff(20641,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_in1(I0, I1, X))) | (~node14(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_2')).
% 79.54/51.80 tff(20642,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 79.54/51.80 tff(20643,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20642, 20638])).
% 79.54/51.80 tff(20644,plain,(
% 79.54/51.80 ![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(skolemize,[status(sab)],[20643])).
% 79.54/51.80 tff(20645,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20644, 20637])).
% 79.54/51.80 tff(20646,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20647,plain,
% 79.54/51.80 (((~node14(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s8)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20648,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8))))),
% 79.54/51.80 inference(monotonicity,[status(thm)],[20647])).
% 79.54/51.80 tff(20649,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(transitivity,[status(thm)],[20648, 20646])).
% 79.54/51.80 tff(20650,plain,
% 79.54/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | m_c_h_element_v_out(c_e_h_1, c_e, s8))),
% 79.54/51.80 inference(quant_inst,[status(thm)],[])).
% 79.54/51.80 tff(20651,plain,
% 79.54/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~node14(c_e_h_1, c_e, s7, s8))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20650, 20649])).
% 79.54/51.80 tff(20652,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20651, 20645, 7752, 7674, 17978])).
% 79.54/51.80 tff(20653,plain,((~node14(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20654,plain,
% 79.54/51.80 (~node14(c_e_h_1, c_e, s7, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20653, 7752, 17978])).
% 79.54/51.80 tff(20655,plain,
% 79.54/51.80 (^[Y: $i, I0: $i, X: $i, I1: $i] : refl((m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X))))),
% 79.54/51.80 inference(bind,[status(th)],[])).
% 79.54/51.80 tff(20656,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(quant_intro,[status(thm)],[20655])).
% 79.54/51.80 tff(20657,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20658,plain,
% 79.54/51.80 (^[Y: $i, I0: $i, X: $i, I1: $i] : trans(monotonicity(rewrite((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y))) <=> ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y))))), rewrite(((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))), (((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y))) <=> (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))))),
% 79.54/51.80 inference(bind,[status(th)],[])).
% 79.54/51.80 tff(20659,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y))) <=> ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(quant_intro,[status(thm)],[20658])).
% 79.54/51.80 tff(20660,axiom,(![Y: $i, I0: $i, X: $i, I1: $i] : ((m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X))) | (~node15(I0, I1, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_c_h_element_4')).
% 79.54/51.80 tff(20661,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20660, 20659])).
% 79.54/51.80 tff(20662,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20661, 20657])).
% 79.54/51.80 tff(20663,plain,(
% 79.54/51.80 ![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(skolemize,[status(sab)],[20662])).
% 79.54/51.80 tff(20664,plain,
% 79.54/51.80 (![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20663, 20656])).
% 79.54/51.80 tff(20665,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20666,plain,
% 79.54/51.80 ((m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node15(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20667,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node15(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8))))),
% 79.54/51.80 inference(monotonicity,[status(thm)],[20666])).
% 79.54/51.80 tff(20668,plain,
% 79.54/51.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node15(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8)))),
% 79.54/51.80 inference(transitivity,[status(thm)],[20667, 20665])).
% 79.54/51.80 tff(20669,plain,
% 79.54/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~node15(c_e_h_1, c_e, s7, s8)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)))),
% 79.54/51.80 inference(quant_inst,[status(thm)],[])).
% 79.54/51.80 tff(20670,plain,
% 79.54/51.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | (~node15(c_e_h_1, c_e, s7, s8))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 79.54/51.80 tff(20671,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20670, 20664, 7752, 7503, 7647])).
% 79.54/51.80 tff(20672,plain,((~node15(c_e_h_1, c_e, s7, s8)) | m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20673,plain,
% 79.54/51.80 (~node15(c_e_h_1, c_e, s7, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20672, 7752, 7503])).
% 79.54/51.80 tff(20674,plain,
% 79.54/51.80 (node16(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7687, 20673, 20654])).
% 79.54/51.80 tff(20675,assumption,(node16(c_e_h_1, c_e, s7)), introduced(assumption)).
% 79.54/51.80 tff(20676,plain,
% 79.54/51.80 (m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7691, 559, 20675])).
% 79.54/51.80 tff(20677,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20676, 7672, 7646])).
% 79.54/51.80 tff(20678,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~node16(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20679,plain,
% 79.54/51.80 (m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20678, 20675, 7667])).
% 79.54/51.80 tff(20680,plain,
% 79.54/51.80 (m_c_h_element_v_in2(c_e_h_1, c_e, s7) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7703, 541, 7667])).
% 79.54/51.80 tff(20681,plain,
% 79.54/51.80 (m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20680, 20679])).
% 79.54/51.80 tff(20682,plain,
% 79.54/51.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20683,plain,
% 79.54/51.80 (((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7))) <=> ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20684,plain,
% 79.54/51.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))))),
% 79.54/51.80 inference(monotonicity,[status(thm)],[20683])).
% 79.54/51.80 tff(20685,plain,
% 79.54/51.80 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)))),
% 79.54/51.80 inference(transitivity,[status(thm)],[20684, 20682])).
% 79.54/51.80 tff(20686,plain,
% 79.54/51.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)))),
% 79.54/51.80 inference(quant_inst,[status(thm)],[])).
% 79.54/51.80 tff(20687,plain,
% 79.54/51.80 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 79.54/51.80 tff(20688,plain,
% 79.54/51.80 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20687, 1192, 20675])).
% 79.54/51.80 tff(20689,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20688, 20681, 20679])).
% 79.54/51.80 tff(20690,plain,((~node16(c_e_h_1, c_e, s7)) | (~node17(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20691,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20690, 20674, 20635])).
% 79.54/51.80 tff(20692,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s8) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20693,plain,
% 79.54/51.80 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20692, 20625, 20628])).
% 79.54/51.80 tff(20694,plain,
% 79.54/51.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 79.54/51.80 inference(rewrite,[status(thm)],[])).
% 79.54/51.80 tff(20695,plain,
% 79.54/51.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7))),
% 79.54/51.80 inference(quant_inst,[status(thm)],[])).
% 79.54/51.80 tff(20696,plain,
% 79.54/51.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(modus_ponens,[status(thm)],[20695, 20694])).
% 79.54/51.80 tff(20697,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20696, 17917, 7646, 15987])).
% 79.54/51.80 tff(20698,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20699,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20698, 20693])).
% 79.54/51.80 tff(20700,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17756, 20699, 17732])).
% 79.54/51.80 tff(20701,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s8)), introduced(assumption)).
% 79.54/51.80 tff(20702,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17760, 4240, 20701, 17802])).
% 79.54/51.80 tff(20703,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20704,plain,
% 79.54/51.80 (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20703, 20700])).
% 79.54/51.80 tff(20705,plain,
% 79.54/51.80 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7838, 20704, 20625])).
% 79.54/51.80 tff(20706,plain,
% 79.54/51.80 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18512, 20705])).
% 79.54/51.80 tff(20707,plain,
% 79.54/51.80 (~node20(c_e_h_1, c_r, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18519, 20706])).
% 79.54/51.80 tff(20708,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[9482, 20707])).
% 79.54/51.80 tff(20709,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17822, 20700, 17801])).
% 79.54/51.80 tff(20710,plain,
% 79.54/51.80 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17845, 20709])).
% 79.54/51.80 tff(20711,plain,
% 79.54/51.80 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17862, 20705, 20710])).
% 79.54/51.80 tff(20712,plain,
% 79.54/51.80 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18529, 20711])).
% 79.54/51.80 tff(20713,plain,
% 79.54/51.80 (~node20(c_e_h_1, c_r, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18536, 20712])).
% 79.54/51.80 tff(20714,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17493, 20713, 20708, 17453])).
% 79.54/51.80 tff(20715,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)) | node20(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20716,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20715, 20595, 18468, 18084])).
% 79.54/51.80 tff(20717,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[12652, 18740])).
% 79.54/51.80 tff(20718,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18246, 17863])).
% 79.54/51.80 tff(20719,plain,
% 79.54/51.80 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7429, 18086])).
% 79.54/51.80 tff(20720,plain,
% 79.54/51.80 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7237, 20719])).
% 79.54/51.80 tff(20721,plain,
% 79.54/51.80 (~node20(c_e_h_1, c_c, s2)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7229, 20720])).
% 79.54/51.80 tff(20722,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[7221, 20721])).
% 79.54/51.80 tff(20723,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[15586, 20722, 18187])).
% 79.54/51.80 tff(20724,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[15663, 20723, 18184])).
% 79.54/51.80 tff(20725,plain,
% 79.54/51.80 (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17687, 20724])).
% 79.54/51.80 tff(20726,plain,
% 79.54/51.80 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17714, 20724, 17782])).
% 79.54/51.80 tff(20727,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[8639, 20726])).
% 79.54/51.80 tff(20728,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18054, 20727, 20725])).
% 79.54/51.80 tff(20729,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18083, 20724, 17782, 17780])).
% 79.54/51.80 tff(20730,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16424, 20729])).
% 79.54/51.80 tff(20731,plain,
% 79.54/51.80 (~node9(c_e_h_1, c_m, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16432, 20730])).
% 79.54/51.80 tff(20732,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[15793, 20724, 17782])).
% 79.54/51.80 tff(20733,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18013, 20726, 17541, 20732])).
% 79.54/51.80 tff(20734,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18271, 20733, 18250, 18251])).
% 79.54/51.80 tff(20735,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16463, 20734])).
% 79.54/51.80 tff(20736,plain,
% 79.54/51.80 ($false),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16455, 20735, 20731, 20728])).
% 79.54/51.80 tff(20737,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.80 tff(20738,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[20737, 20718, 17541])).
% 79.54/51.80 tff(20739,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18463, 17975])).
% 79.54/51.80 tff(20740,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18364, 20739, 18063, 20738, 20717])).
% 79.54/51.80 tff(20741,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17503, 20733])).
% 79.54/51.80 tff(20742,plain,
% 79.54/51.80 (~node9(c_e_h_1, c_m, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17511, 20741])).
% 79.54/51.80 tff(20743,plain,
% 79.54/51.80 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16007, 20732, 17780])).
% 79.54/51.80 tff(20744,plain,
% 79.54/51.80 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17980, 20743])).
% 79.54/51.80 tff(20745,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18059, 20744, 20725, 20726])).
% 79.54/51.80 tff(20746,plain,
% 79.54/51.80 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17537, 20745, 20742])).
% 79.54/51.80 tff(20747,plain,
% 79.54/51.80 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17776, 20724, 17680, 17624])).
% 79.54/51.80 tff(20748,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16371, 20747])).
% 79.54/51.80 tff(20749,plain,
% 79.54/51.80 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[18083, 20724, 17780, 17782])).
% 79.54/51.80 tff(20750,plain,
% 79.54/51.80 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[16208, 17679, 17680])).
% 79.54/51.80 tff(20751,plain,
% 79.54/51.80 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17791, 20750])).
% 79.54/51.80 tff(20752,plain,
% 79.54/51.80 (~node20(c_e_h_1, c_c, s8)),
% 79.54/51.80 inference(unit_resolution,[status(thm)],[17799, 20751])).
% 79.54/51.81 tff(20753,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17756, 20743, 20595])).
% 79.54/51.81 tff(20754,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17822, 20753, 20752])).
% 79.54/51.81 tff(20755,plain,
% 79.54/51.81 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17845, 20754])).
% 79.54/51.81 tff(20756,plain,
% 79.54/51.81 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17862, 20755, 20747])).
% 79.54/51.81 tff(20757,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17897, 20754, 17878])).
% 79.54/51.81 tff(20758,plain,
% 79.54/51.81 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17905, 20757])).
% 79.54/51.81 tff(20759,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[18424, 20758, 20756, 18369, 20749, 20728, 20748, 20746])).
% 79.54/51.81 tff(20760,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20761,plain,
% 79.54/51.81 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20760, 17541])).
% 79.54/51.81 tff(20762,plain,
% 79.54/51.81 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20763,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20764,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20763, 20762])).
% 79.54/51.81 tff(20765,plain,
% 79.54/51.81 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20764, 3976])).
% 79.54/51.81 tff(20766,plain,
% 79.54/51.81 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20765, 20761])).
% 79.54/51.81 tff(20767,plain,
% 79.54/51.81 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[7850, 6423])).
% 79.54/51.81 tff(20768,plain,
% 79.54/51.81 (~node20(c_e_h_1, c_i, s8)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[7858, 20767])).
% 79.54/51.81 tff(20769,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20066, 18711, 20768])).
% 79.54/51.81 tff(20770,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[7881, 18711, 20768])).
% 79.54/51.81 tff(20771,plain,
% 79.54/51.81 (~m_c_h_element_v_in2(c_e_h_1, c_f, s9)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[15872, 20770])).
% 79.54/51.81 tff(20772,plain,
% 79.54/51.81 (~m_c_h_element_v_out(c_e_h_1, c_f, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[14952, 20771, 19995])).
% 79.54/51.81 tff(20773,plain,
% 79.54/51.81 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[15941, 20258, 20772])).
% 79.54/51.81 tff(20774,plain,
% 79.54/51.81 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20262, 397, 20773])).
% 79.54/51.81 tff(20775,plain,
% 79.54/51.81 (~node20(c_e_h_1, c_q, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20266, 22, 20774])).
% 79.54/51.81 tff(20776,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20290, 20775, 20769])).
% 79.54/51.81 tff(20777,plain,
% 79.54/51.81 (~m_cell_v_ack(c_e_h_2, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20299, 20776])).
% 79.54/51.81 tff(20778,plain,
% 79.54/51.81 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s12))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20779,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s12))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20780,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s12)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 79.54/51.81 tff(20781,plain,
% 79.54/51.81 (node2(c_e_h_1, c_e_h_2, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20780, 2823, 7161])).
% 79.54/51.81 tff(20782,plain,
% 79.54/51.81 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s12)) | m_cell_v_ack(c_e_h_2, s12) | m_and_h_gate_v_in2(c_e_h_1, c_c, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s12)) | m_cell_v_ack(c_e_h_2, s12) | m_and_h_gate_v_in2(c_e_h_1, c_c, s12))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20783,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s12)) | m_cell_v_ack(c_e_h_2, s12) | m_and_h_gate_v_in2(c_e_h_1, c_c, s12))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20784,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s12)) | m_cell_v_ack(c_e_h_2, s12) | m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 79.54/51.81 tff(20785,plain,
% 79.54/51.81 (m_cell_v_ack(c_e_h_2, s12) | m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20784, 7175, 20781])).
% 79.54/51.81 tff(20786,plain,
% 79.54/51.81 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20785, 20777])).
% 79.54/51.81 tff(20787,plain,
% 79.54/51.81 (m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17947, 17556, 17924])).
% 79.54/51.81 tff(20788,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[17897, 17878, 20787, 17839])).
% 79.54/51.81 tff(20789,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20790,plain,
% 79.54/51.81 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20789, 17838, 17541])).
% 79.54/51.81 tff(20791,plain,
% 79.54/51.81 (m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[8327, 8080, 8260])).
% 79.54/51.81 tff(20792,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.54/51.81 tff(20793,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s12)), introduced(assumption)).
% 79.54/51.81 tff(20794,plain,
% 79.54/51.81 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20795,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20796,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 79.54/51.81 tff(20797,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20796, 4240, 20793, 20792])).
% 79.54/51.81 tff(20798,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20799,plain,
% 79.54/51.81 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20798, 20791])).
% 79.54/51.81 tff(20800,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.54/51.81 tff(20801,assumption,(node22(c_e_h_1, c_c, s11, s12)), introduced(assumption)).
% 79.54/51.81 tff(20802,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20803,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20804,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 79.54/51.81 tff(20805,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20804, 437, 17967, 20801, 20800])).
% 79.54/51.81 tff(20806,plain,((~node22(c_e_h_1, c_c, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20807,plain,
% 79.54/51.81 (~node22(c_e_h_1, c_c, s11, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20806, 20800, 17967])).
% 79.54/51.81 tff(20808,assumption,(~node20(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.54/51.81 tff(20809,assumption,(node21(c_e_h_1, c_c, s11, s12)), introduced(assumption)).
% 79.54/51.81 tff(20810,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s11, s12)))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20811,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s11, s12)))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20812,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s11, s12))),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 79.54/51.81 tff(20813,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20812, 348, 20809, 20800, 20808])).
% 79.54/51.81 tff(20814,plain,((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | node20(c_e_h_1, c_c, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20815,plain,
% 79.54/51.81 (~node21(c_e_h_1, c_c, s11, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20814, 20800, 20808])).
% 79.54/51.81 tff(20816,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_c, s11, s12) | node22(c_e_h_1, c_c, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_c, s11, s12) | node22(c_e_h_1, c_c, s11, s12))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20817,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_c, s11, s12) | node22(c_e_h_1, c_c, s11, s12))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20818,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_c, s11, s12) | node22(c_e_h_1, c_c, s11, s12)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 79.54/51.81 tff(20819,plain,
% 79.54/51.81 (node21(c_e_h_1, c_c, s11, s12) | node22(c_e_h_1, c_c, s11, s12)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20818, 383, 8210])).
% 79.54/51.81 tff(20820,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20819, 20815, 20807])).
% 79.54/51.81 tff(20821,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | node20(c_e_h_1, c_c, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20822,plain,
% 79.54/51.81 (node20(c_e_h_1, c_c, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20821, 20799, 17967])).
% 79.54/51.81 tff(20823,assumption,(node20(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.54/51.81 tff(20824,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.54/51.81 tff(20825,plain,
% 79.54/51.81 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20826,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20827,plain,
% 79.54/51.81 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20826, 20825])).
% 79.54/51.81 tff(20828,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20827, 22, 20824, 20823])).
% 79.54/51.81 tff(20829,plain,((~node20(c_e_h_1, c_c, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20830,plain,
% 79.54/51.81 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20829, 20822])).
% 79.54/51.81 tff(20831,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s11)), introduced(assumption)).
% 79.54/51.81 tff(20832,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), introduced(assumption)).
% 79.54/51.81 tff(20833,plain,
% 79.54/51.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20834,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20835,plain,
% 79.54/51.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 79.54/51.81 tff(20836,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20835, 2644, 20832, 20831])).
% 79.54/51.81 tff(20837,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20838,plain,
% 79.54/51.81 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20837, 20830])).
% 79.54/51.81 tff(20839,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), introduced(assumption)).
% 79.54/51.81 tff(20840,assumption,(node13(c_e_h_1, c_a, s10, s11)), introduced(assumption)).
% 79.54/51.81 tff(20841,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node13(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node13(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20842,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node13(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20843,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node13(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 79.54/51.81 tff(20844,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20843, 1004, 20840, 17541, 20839])).
% 79.54/51.81 tff(20845,plain,((~node13(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20846,plain,
% 79.54/51.81 (~node13(c_e_h_1, c_a, s10, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20845, 20839, 17541])).
% 79.54/51.81 tff(20847,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)), introduced(assumption)).
% 79.54/51.81 tff(20848,assumption,(node12(c_e_h_1, c_a, s10, s11)), introduced(assumption)).
% 79.54/51.81 tff(20849,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11)))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20850,plain,
% 79.54/51.81 (((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11)))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20851,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11))))),
% 79.54/51.81 inference(monotonicity,[status(thm)],[20850])).
% 79.54/51.81 tff(20852,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11)))),
% 79.54/51.81 inference(transitivity,[status(thm)],[20851, 20849])).
% 79.54/51.81 tff(20853,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20854,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | (~node12(c_e_h_1, c_a, s10, s11))),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 79.54/51.81 tff(20855,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20854, 1082, 20848, 20847, 20839])).
% 79.54/51.81 tff(20856,plain,((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20857,plain,
% 79.54/51.81 (~node12(c_e_h_1, c_a, s10, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20856, 20839, 20847])).
% 79.54/51.81 tff(20858,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s10, s11)) | node12(c_e_h_1, c_a, s10, s11) | node13(c_e_h_1, c_a, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s10, s11)) | node12(c_e_h_1, c_a, s10, s11) | node13(c_e_h_1, c_a, s10, s11))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20859,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s10, s11)) | node12(c_e_h_1, c_a, s10, s11) | node13(c_e_h_1, c_a, s10, s11))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20860,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s10, s11)) | node12(c_e_h_1, c_a, s10, s11) | node13(c_e_h_1, c_a, s10, s11)),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 79.54/51.81 tff(20861,plain,
% 79.54/51.81 (node12(c_e_h_1, c_a, s10, s11) | node13(c_e_h_1, c_a, s10, s11)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20860, 1020, 8015])).
% 79.54/51.81 tff(20862,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20861, 20857, 20846])).
% 79.54/51.81 tff(20863,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.81 tff(20864,plain,
% 79.54/51.81 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20863, 20838, 17541])).
% 79.54/51.81 tff(20865,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.54/51.81 tff(20866,plain,
% 79.54/51.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s13, s14)))),
% 79.54/51.81 inference(rewrite,[status(thm)],[])).
% 79.54/51.81 tff(20867,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s13, s14)))),
% 79.54/51.81 inference(quant_inst,[status(thm)],[])).
% 79.54/51.81 tff(20868,plain,
% 79.54/51.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node18(c_e_h_1, c_e, s13, s14))),
% 79.54/51.81 inference(modus_ponens,[status(thm)],[20867, 20866])).
% 79.54/51.81 tff(20869,plain,
% 79.54/51.81 ($false),
% 79.54/51.81 inference(unit_resolution,[status(thm)],[20868, 6627, 12654, 8972, 8080])).
% 79.54/51.81 tff(20870,plain,((~node18(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20871,plain,
% 79.54/51.82 (~node18(c_e_h_1, c_e, s13, s14)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20870, 12654, 8080])).
% 79.54/51.82 tff(20872,plain,
% 79.54/51.82 (~node18(c_e_h_1, c_e, s13, s14)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20870, 8080, 12654])).
% 79.54/51.82 tff(20873,plain,
% 79.54/51.82 (node17(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[8996, 20872])).
% 79.54/51.82 tff(20874,plain,
% 79.54/51.82 (~node16(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[9035, 20873])).
% 79.54/51.82 tff(20875,plain,
% 79.54/51.82 (m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13))),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[9024, 1172, 8963])).
% 79.54/51.82 tff(20876,plain,
% 79.54/51.82 (m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20875, 20873])).
% 79.54/51.82 tff(20877,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s13)), introduced(assumption)).
% 79.54/51.82 tff(20878,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20879,plain,
% 79.54/51.82 (((~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s14)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20880,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13))))),
% 79.54/51.82 inference(monotonicity,[status(thm)],[20879])).
% 79.54/51.82 tff(20881,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)))),
% 79.54/51.82 inference(transitivity,[status(thm)],[20880, 20878])).
% 79.54/51.82 tff(20882,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20883,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node14(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20882, 20881])).
% 79.54/51.82 tff(20884,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20883, 20645, 12654, 9046, 20877])).
% 79.54/51.82 tff(20885,plain,((~node14(c_e_h_1, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20886,plain,
% 79.54/51.82 (~node14(c_e_h_1, c_e, s13, s14)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20885, 20876, 12654])).
% 79.54/51.82 tff(20887,plain,
% 79.54/51.82 (node15(c_e_h_1, c_e, s13, s14)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[9043, 20886, 20874])).
% 79.54/51.82 tff(20888,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20889,plain,
% 79.54/51.82 ((m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node15(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20890,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node15(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14))))),
% 79.54/51.82 inference(monotonicity,[status(thm)],[20889])).
% 79.54/51.82 tff(20891,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node15(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14)))),
% 79.54/51.82 inference(transitivity,[status(thm)],[20890, 20888])).
% 79.54/51.82 tff(20892,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node15(c_e_h_1, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20893,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~node15(c_e_h_1, c_e, s13, s14))),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20892, 20891])).
% 79.54/51.82 tff(20894,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20893, 20664, 12654, 20887, 8080])).
% 79.54/51.82 tff(20895,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20896,plain,
% 79.54/51.82 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20895, 12654, 8080])).
% 79.54/51.82 tff(20897,plain,
% 79.54/51.82 (m_c_h_element_v_in2(c_e_h_1, c_e, s13) | (~node17(c_e_h_1, c_e, s13))),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[9001, 541, 20877])).
% 79.54/51.82 tff(20898,plain,
% 79.54/51.82 (~node17(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20897, 20896])).
% 79.54/51.82 tff(20899,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[8996, 20898, 20871])).
% 79.54/51.82 tff(20900,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20901,plain,
% 79.54/51.82 (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20900, 8080, 12654])).
% 79.54/51.82 tff(20902,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.54/51.82 tff(20903,plain,
% 79.54/51.82 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20904,plain,
% 79.54/51.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20905,plain,
% 79.54/51.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 79.54/51.82 tff(20906,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20905, 17917, 9045, 20902])).
% 79.54/51.82 tff(20907,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20908,plain,
% 79.54/51.82 (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20907, 20901])).
% 79.54/51.82 tff(20909,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.54/51.82 tff(20910,assumption,(node22(c_e_h_1, c_c, s12, s13)), introduced(assumption)).
% 79.54/51.82 tff(20911,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20912,plain,
% 79.54/51.82 ((m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~node22(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12))) <=> (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20913,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~node22(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13))))),
% 79.54/51.82 inference(monotonicity,[status(thm)],[20912])).
% 79.54/51.82 tff(20914,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~node22(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(transitivity,[status(thm)],[20913, 20911])).
% 79.54/51.82 tff(20915,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~node22(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20916,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | (~node22(c_e_h_1, c_c, s12, s13))),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 79.54/51.82 tff(20917,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20916, 6905, 20909, 20910, 20800])).
% 79.54/51.82 tff(20918,plain,((~node22(c_e_h_1, c_c, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20919,plain,
% 79.54/51.82 (~node22(c_e_h_1, c_c, s12, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20918, 20909, 20800])).
% 79.54/51.82 tff(20920,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.54/51.82 tff(20921,assumption,(node21(c_e_h_1, c_c, s12, s13)), introduced(assumption)).
% 79.54/51.82 tff(20922,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20923,plain,
% 79.54/51.82 (((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20924,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13))))),
% 79.54/51.82 inference(monotonicity,[status(thm)],[20923])).
% 79.54/51.82 tff(20925,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13)))),
% 79.54/51.82 inference(transitivity,[status(thm)],[20924, 20922])).
% 79.54/51.82 tff(20926,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20927,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~node21(c_e_h_1, c_c, s12, s13))),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 79.54/51.82 tff(20928,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20927, 7190, 20865, 20909, 20921, 20920])).
% 79.54/51.82 tff(20929,plain,((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20930,plain,
% 79.54/51.82 (~node21(c_e_h_1, c_c, s12, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20929, 20909, 20920, 20865])).
% 79.54/51.82 tff(20931,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_c, s12, s13) | node22(c_e_h_1, c_c, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_c, s12, s13) | node22(c_e_h_1, c_c, s12, s13))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20932,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_c, s12, s13) | node22(c_e_h_1, c_c, s12, s13))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20933,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_c, s12, s13) | node22(c_e_h_1, c_c, s12, s13)),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20932, 20931])).
% 79.54/51.82 tff(20934,plain,
% 79.54/51.82 (node21(c_e_h_1, c_c, s12, s13) | node22(c_e_h_1, c_c, s12, s13)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20933, 383, 8278])).
% 79.54/51.82 tff(20935,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20934, 20930, 20919])).
% 79.54/51.82 tff(20936,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20937,plain,
% 79.54/51.82 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20936, 20908, 20799, 20865])).
% 79.54/51.82 tff(20938,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.54/51.82 tff(20939,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s12)), introduced(assumption)).
% 79.54/51.82 tff(20940,plain,
% 79.54/51.82 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20941,plain,
% 79.54/51.82 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20942,plain,
% 79.54/51.82 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 79.54/51.82 tff(20943,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20942, 7440, 20939, 20938])).
% 79.54/51.82 tff(20944,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20945,plain,
% 79.54/51.82 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20944, 20937])).
% 79.54/51.82 tff(20946,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)), introduced(assumption)).
% 79.54/51.82 tff(20947,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)), introduced(assumption)).
% 79.54/51.82 tff(20948,assumption,(node13(c_e_h_1, c_a, s11, s12)), introduced(assumption)).
% 79.54/51.82 tff(20949,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20950,plain,
% 79.54/51.82 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20951,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12))))),
% 79.54/51.82 inference(monotonicity,[status(thm)],[20950])).
% 79.54/51.82 tff(20952,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.82 inference(transitivity,[status(thm)],[20951, 20949])).
% 79.54/51.82 tff(20953,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20954,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node13(c_e_h_1, c_a, s11, s12))),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20953, 20952])).
% 79.54/51.82 tff(20955,plain,
% 79.54/51.82 ($false),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20954, 7277, 20948, 20947, 20839])).
% 79.54/51.82 tff(20956,plain,((~node13(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.82 tff(20957,plain,
% 79.54/51.82 (~node13(c_e_h_1, c_a, s11, s12)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20956, 20947, 20839])).
% 79.54/51.82 tff(20958,plain,
% 79.54/51.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s11, s12)) | node12(c_e_h_1, c_a, s11, s12) | node13(c_e_h_1, c_a, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s11, s12)) | node12(c_e_h_1, c_a, s11, s12) | node13(c_e_h_1, c_a, s11, s12))),
% 79.54/51.82 inference(rewrite,[status(thm)],[])).
% 79.54/51.82 tff(20959,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s11, s12)) | node12(c_e_h_1, c_a, s11, s12) | node13(c_e_h_1, c_a, s11, s12))),
% 79.54/51.82 inference(quant_inst,[status(thm)],[])).
% 79.54/51.82 tff(20960,plain,
% 79.54/51.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s11, s12)) | node12(c_e_h_1, c_a, s11, s12) | node13(c_e_h_1, c_a, s11, s12)),
% 79.54/51.82 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 79.54/51.82 tff(20961,plain,
% 79.54/51.82 (node12(c_e_h_1, c_a, s11, s12) | node13(c_e_h_1, c_a, s11, s12)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20960, 1020, 8210])).
% 79.54/51.82 tff(20962,plain,
% 79.54/51.82 (node12(c_e_h_1, c_a, s11, s12)),
% 79.54/51.82 inference(unit_resolution,[status(thm)],[20961, 20957])).
% 79.54/51.82 tff(20963,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20964,plain,
% 79.54/51.83 (((~node12(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20965,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12))))),
% 79.54/51.83 inference(monotonicity,[status(thm)],[20964])).
% 79.54/51.83 tff(20966,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.54/51.83 inference(transitivity,[status(thm)],[20965, 20963])).
% 79.54/51.83 tff(20967,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(20968,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s11, s12))),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[20967, 20966])).
% 79.54/51.83 tff(20969,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20968, 7301, 20962, 20947, 20946])).
% 79.54/51.83 tff(20970,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(20971,plain,
% 79.54/51.83 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20970, 20945, 20838])).
% 79.54/51.83 tff(20972,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)), introduced(assumption)).
% 79.54/51.83 tff(20973,assumption,(m_user_v_req(c_e_h_1, c_u, s11)), introduced(assumption)).
% 79.54/51.83 tff(20974,plain,
% 79.54/51.83 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20975,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(20976,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s11)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[20975, 20974])).
% 79.54/51.83 tff(20977,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20976, 7318, 20973, 20972])).
% 79.54/51.83 tff(20978,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_user_v_req(c_e_h_1, c_u, s11))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(20979,plain,
% 79.54/51.83 (~m_user_v_req(c_e_h_1, c_u, s11)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20978, 20971])).
% 79.54/51.83 tff(20980,assumption,(m_user_v_req(c_e_h_1, c_u, s10)), introduced(assumption)).
% 79.54/51.83 tff(20981,assumption,(~m_user_v_req(c_e_h_1, c_u, s11)), introduced(assumption)).
% 79.54/51.83 tff(20982,assumption,(node8(c_e_h_1, c_u, s10, s11)), introduced(assumption)).
% 79.54/51.83 tff(20983,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20984,plain,
% 79.54/51.83 ((m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)) | (~m_user_v_req(c_e_h_1, c_u, s10))) <=> ((~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20985,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)) | (~m_user_v_req(c_e_h_1, c_u, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11))))),
% 79.54/51.83 inference(monotonicity,[status(thm)],[20984])).
% 79.54/51.83 tff(20986,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)) | (~m_user_v_req(c_e_h_1, c_u, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)))),
% 79.54/51.83 inference(transitivity,[status(thm)],[20985, 20983])).
% 79.54/51.83 tff(20987,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11)) | (~m_user_v_req(c_e_h_1, c_u, s10)))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(20988,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11) | (~node8(c_e_h_1, c_u, s10, s11))),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 79.54/51.83 tff(20989,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20988, 7402, 20982, 20980, 20981])).
% 79.54/51.83 tff(20990,plain,((~node8(c_e_h_1, c_u, s10, s11)) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_user_v_req(c_e_h_1, c_u, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(20991,plain,
% 79.54/51.83 (~node8(c_e_h_1, c_u, s10, s11)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20990, 20981, 20980])).
% 79.54/51.83 tff(20992,assumption,(node7(c_e_h_1, c_u, s10, s11)), introduced(assumption)).
% 79.54/51.83 tff(20993,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s10, s11)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_req(c_e_h_1, c_u, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s10, s11)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_req(c_e_h_1, c_u, s11))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(20994,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s10, s11)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_req(c_e_h_1, c_u, s11))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(20995,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s10, s11)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_req(c_e_h_1, c_u, s11)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 79.54/51.83 tff(20996,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20995, 7383, 20992, 9493, 20981])).
% 79.54/51.83 tff(20997,plain,((~node7(c_e_h_1, c_u, s10, s11)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_req(c_e_h_1, c_u, s11)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(20998,plain,
% 79.54/51.83 (~node7(c_e_h_1, c_u, s10, s11)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[20997, 20981, 9493])).
% 79.54/51.83 tff(20999,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s10, s11)) | node7(c_e_h_1, c_u, s10, s11) | node8(c_e_h_1, c_u, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s10, s11)) | node7(c_e_h_1, c_u, s10, s11) | node8(c_e_h_1, c_u, s10, s11))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21000,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s10, s11)) | node7(c_e_h_1, c_u, s10, s11) | node8(c_e_h_1, c_u, s10, s11))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21001,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s10, s11)) | node7(c_e_h_1, c_u, s10, s11) | node8(c_e_h_1, c_u, s10, s11)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 79.54/51.83 tff(21002,plain,
% 79.54/51.83 (node7(c_e_h_1, c_u, s10, s11) | node8(c_e_h_1, c_u, s10, s11)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21001, 7421, 8015])).
% 79.54/51.83 tff(21003,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21002, 20998, 20991])).
% 79.54/51.83 tff(21004,plain,(m_user_v_req(c_e_h_1, c_u, s11) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s10))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(21005,plain,
% 79.54/51.83 (~m_user_v_req(c_e_h_1, c_u, s10)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21004, 20979, 9493])).
% 79.54/51.83 tff(21006,plain,
% 79.54/51.83 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_user_v_req(c_e_h_1, c_u, s10))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_user_v_req(c_e_h_1, c_u, s10))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21007,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_user_v_req(c_e_h_1, c_u, s10))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21008,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_user_v_req(c_e_h_1, c_u, s10)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21007, 21006])).
% 79.54/51.83 tff(21009,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21008, 2765, 21005, 20864])).
% 79.54/51.83 tff(21010,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(21011,plain,
% 79.54/51.83 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21010, 12654, 17541, 9493, 20790, 20786, 17975])).
% 79.54/51.83 tff(21012,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)), introduced(assumption)).
% 79.54/51.83 tff(21013,plain,
% 79.54/51.83 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21014,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21015,plain,
% 79.54/51.83 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 79.54/51.83 tff(21016,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21015, 3964, 8971, 21012])).
% 79.54/51.83 tff(21017,plain,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(21018,plain,
% 79.54/51.83 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21017, 21011])).
% 79.54/51.83 tff(21019,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)), introduced(assumption)).
% 79.54/51.83 tff(21020,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)), introduced(assumption)).
% 79.54/51.83 tff(21021,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)), introduced(assumption)).
% 79.54/51.83 tff(21022,assumption,(node10(c_e_h_1, c_n, s13, s14)), introduced(assumption)).
% 79.54/51.83 tff(21023,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21024,plain,
% 79.54/51.83 (((~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21025,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13))))),
% 79.54/51.83 inference(monotonicity,[status(thm)],[21024])).
% 79.54/51.83 tff(21026,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)))),
% 79.54/51.83 inference(transitivity,[status(thm)],[21025, 21023])).
% 79.54/51.83 tff(21027,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21028,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13))),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21027, 21026])).
% 79.54/51.83 tff(21029,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21028, 160, 21020, 21021, 21022, 21019])).
% 79.54/51.83 tff(21030,plain,((~node10(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(21031,plain,
% 79.54/51.83 (~node10(c_e_h_1, c_n, s13, s14)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21030, 21021, 21020, 21019])).
% 79.54/51.83 tff(21032,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_1, c_n, s13, s14) | node11(c_e_h_1, c_n, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_1, c_n, s13, s14) | node11(c_e_h_1, c_n, s13, s14))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21033,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_1, c_n, s13, s14) | node11(c_e_h_1, c_n, s13, s14))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21034,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_1, c_n, s13, s14) | node11(c_e_h_1, c_n, s13, s14)),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21033, 21032])).
% 79.54/51.83 tff(21035,plain,
% 79.54/51.83 (node10(c_e_h_1, c_n, s13, s14) | node11(c_e_h_1, c_n, s13, s14)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21034, 193, 8985])).
% 79.54/51.83 tff(21036,plain,
% 79.54/51.83 (node11(c_e_h_1, c_n, s13, s14)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21035, 21031])).
% 79.54/51.83 tff(21037,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)), introduced(assumption)).
% 79.54/51.83 tff(21038,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21039,plain,
% 79.54/51.83 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~node11(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14)))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21040,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~node11(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14))))),
% 79.54/51.83 inference(monotonicity,[status(thm)],[21039])).
% 79.54/51.83 tff(21041,plain,
% 79.54/51.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~node11(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14)))),
% 79.54/51.83 inference(transitivity,[status(thm)],[21040, 21038])).
% 79.54/51.83 tff(21042,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~node11(c_e_h_1, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)))),
% 79.54/51.83 inference(quant_inst,[status(thm)],[])).
% 79.54/51.83 tff(21043,plain,
% 79.54/51.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~node11(c_e_h_1, c_n, s13, s14))),
% 79.54/51.83 inference(modus_ponens,[status(thm)],[21042, 21041])).
% 79.54/51.83 tff(21044,plain,
% 79.54/51.83 ($false),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21043, 208, 21021, 21037, 21036])).
% 79.54/51.83 tff(21045,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.83 tff(21046,plain,
% 79.54/51.83 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 79.54/51.83 inference(unit_resolution,[status(thm)],[21045, 21018, 20766, 20740])).
% 79.54/51.83 tff(21047,plain,
% 79.54/51.83 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X)) <=> ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X)))),
% 79.54/51.83 inference(bind,[status(th)],[])).
% 79.54/51.83 tff(21048,plain,
% 79.54/51.83 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.83 inference(quant_intro,[status(thm)],[21047])).
% 79.54/51.83 tff(21049,plain,
% 79.54/51.83 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.83 inference(rewrite,[status(thm)],[])).
% 79.54/51.83 tff(21050,plain,
% 79.54/51.83 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in2(I0, c_q, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X)))),
% 79.54/51.83 inference(bind,[status(th)],[])).
% 79.54/51.83 tff(21051,plain,
% 79.54/51.83 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_q, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.83 inference(quant_intro,[status(thm)],[21050])).
% 79.54/51.83 tff(21052,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_q, X) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_69')).
% 79.54/51.84 tff(21053,plain,
% 79.54/51.84 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 79.54/51.84 tff(21054,plain,
% 79.54/51.84 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21053, 21049])).
% 79.54/51.84 tff(21055,plain,(
% 79.54/51.84 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.84 inference(skolemize,[status(sab)],[21054])).
% 79.54/51.84 tff(21056,plain,
% 79.54/51.84 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21055, 21048])).
% 79.54/51.84 tff(21057,plain,
% 79.54/51.84 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s14))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21058,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s14))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21059,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s14)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21058, 21057])).
% 79.54/51.84 tff(21060,plain,
% 79.54/51.84 (m_and_h_gate_v_in2(c_e_h_1, c_q, s14)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21059, 21056, 21046])).
% 79.54/51.84 tff(21061,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s13)), introduced(assumption)).
% 79.54/51.84 tff(21062,assumption,(~node24(s15)), introduced(assumption)).
% 79.54/51.84 tff(21063,plain,
% 79.54/51.84 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21064,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21065,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 79.54/51.84 tff(21066,plain,
% 79.54/51.84 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21065, 3964])).
% 79.54/51.84 tff(21067,plain,
% 79.54/51.84 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21066, 12655])).
% 79.54/51.84 tff(21068,assumption,(~node24(s14)), introduced(assumption)).
% 79.54/51.84 tff(21069,assumption,(~node26(s10)), introduced(assumption)).
% 79.54/51.84 tff(21070,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_h, s12)), introduced(assumption)).
% 79.54/51.84 tff(21071,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s12)), introduced(assumption)).
% 79.54/51.84 tff(21072,plain,
% 79.54/51.84 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21073,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21074,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21073, 21072])).
% 79.54/51.84 tff(21075,plain,
% 79.54/51.84 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21074, 9234, 12655])).
% 79.54/51.84 tff(21076,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s16)), introduced(assumption)).
% 79.54/51.84 tff(21077,assumption,(node20(c_e_h_1, c_r, s16)), introduced(assumption)).
% 79.54/51.84 tff(21078,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s16))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21079,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s16))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21080,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s16)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 79.54/51.84 tff(21081,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21080, 22, 21077, 21076])).
% 79.54/51.84 tff(21082,plain,(m_and_h_gate_v_in1(c_e_h_1, c_r, s16) | (~node20(c_e_h_1, c_r, s16))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21083,plain,
% 79.54/51.84 (~node20(c_e_h_1, c_r, s16)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21082, 21075])).
% 79.54/51.84 tff(21084,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)), introduced(assumption)).
% 79.54/51.84 tff(21085,plain,
% 79.54/51.84 (node20(c_e_h_1, c_r, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17446, 17434])).
% 79.54/51.84 tff(21086,plain,
% 79.54/51.84 (m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[9210, 21085])).
% 79.54/51.84 tff(21087,plain,
% 79.54/51.84 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[9202, 21086])).
% 79.54/51.84 tff(21088,plain,
% 79.54/51.84 (~m_user_v_ack(c_e_h_1, c_u, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17394, 9458])).
% 79.54/51.84 tff(21089,plain,
% 79.54/51.84 (m_user_v_ack(c_e_h_1, c_u, s9) | (~node26(s9))),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17411, 16490])).
% 79.54/51.84 tff(21090,plain,
% 79.54/51.84 (~node26(s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21089, 21088])).
% 79.54/51.84 tff(21091,plain,
% 79.54/51.84 (xuntil28(s9) | node26(s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17419, 17235, 17387])).
% 79.54/51.84 tff(21092,plain,
% 79.54/51.84 (xuntil28(s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21091, 21090])).
% 79.54/51.84 tff(21093,plain,
% 79.54/51.84 (until27(s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17425, 21092])).
% 79.54/51.84 tff(21094,plain,
% 79.54/51.84 (xuntil28(s10) | node26(s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17440, 17235, 21093])).
% 79.54/51.84 tff(21095,plain,
% 79.54/51.84 (node26(s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21094, 17434])).
% 79.54/51.84 tff(21096,plain,
% 79.54/51.84 (node24(s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[12645, 21095])).
% 79.54/51.84 tff(21097,plain,
% 79.54/51.84 (m_user_v_ack(c_e_h_1, c_u, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[9505, 21096])).
% 79.54/51.84 tff(21098,plain,
% 79.54/51.84 (m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[9490, 21097])).
% 79.54/51.84 tff(21099,plain,
% 79.54/51.84 (m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18519, 21085])).
% 79.54/51.84 tff(21100,plain,
% 79.54/51.84 (m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18512, 21099])).
% 79.54/51.84 tff(21101,plain,
% 79.54/51.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s9, s10)))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21102,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s9, s10)))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21103,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node18(c_e_h_1, c_e, s9, s10))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21102, 21101])).
% 79.54/51.84 tff(21104,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21103, 6627, 7926, 8001, 7753])).
% 79.54/51.84 tff(21105,plain,((~node18(c_e_h_1, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21106,plain,
% 79.54/51.84 (~node18(c_e_h_1, c_e, s9, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21105, 7753, 8001])).
% 79.54/51.84 tff(21107,plain,
% 79.54/51.84 (~node18(c_e_h_1, c_e, s9, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21105, 8001, 7753])).
% 79.54/51.84 tff(21108,plain,
% 79.54/51.84 (node17(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7939, 21107])).
% 79.54/51.84 tff(21109,plain,
% 79.54/51.84 ((~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[17856, 1172, 7883])).
% 79.54/51.84 tff(21110,plain,
% 79.54/51.84 (m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21109, 21108])).
% 79.54/51.84 tff(21111,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21112,plain,
% 79.54/51.84 (((~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21113,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))))),
% 79.54/51.84 inference(monotonicity,[status(thm)],[21112])).
% 79.54/51.84 tff(21114,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.54/51.84 inference(transitivity,[status(thm)],[21113, 21111])).
% 79.54/51.84 tff(21115,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21116,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21115, 21114])).
% 79.54/51.84 tff(21117,plain,
% 79.54/51.84 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | (~node16(c_e_h_1, c_e, s9))),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21116, 1192, 7883])).
% 79.54/51.84 tff(21118,plain,
% 79.54/51.84 (~node16(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21117, 21110])).
% 79.54/51.84 tff(21119,assumption,(node14(c_e_h_1, c_e, s9, s10)), introduced(assumption)).
% 79.54/51.84 tff(21120,plain,
% 79.54/51.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (~node14(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21121,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21122,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (~node14(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21121, 21120])).
% 79.54/51.84 tff(21123,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21122, 20645, 21119, 17840, 8001])).
% 79.54/51.84 tff(21124,plain,((~node14(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21125,plain,
% 79.54/51.84 (~node14(c_e_h_1, c_e, s9, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21124, 21110, 8001])).
% 79.54/51.84 tff(21126,plain,
% 79.54/51.84 (node15(c_e_h_1, c_e, s9, s10)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7915, 21125, 21118])).
% 79.54/51.84 tff(21127,plain,
% 79.54/51.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10)))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21128,plain,
% 79.54/51.84 ((m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node15(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10)))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21129,plain,
% 79.54/51.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node15(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10))))),
% 79.54/51.84 inference(monotonicity,[status(thm)],[21128])).
% 79.54/51.84 tff(21130,plain,
% 79.54/51.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node15(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10)))),
% 79.54/51.84 inference(transitivity,[status(thm)],[21129, 21127])).
% 79.54/51.84 tff(21131,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~node15(c_e_h_1, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21132,plain,
% 79.54/51.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~node15(c_e_h_1, c_e, s9, s10))),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 79.54/51.84 tff(21133,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21132, 20664, 21126, 8001, 7753])).
% 79.54/51.84 tff(21134,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21135,plain,
% 79.54/51.84 (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21134, 7753, 8001])).
% 79.54/51.84 tff(21136,plain,
% 79.54/51.84 ((~node17(c_e_h_1, c_e, s9)) | m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7946, 541, 17840])).
% 79.54/51.84 tff(21137,plain,
% 79.54/51.84 (~node17(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21136, 21135])).
% 79.54/51.84 tff(21138,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7939, 21137, 21106])).
% 79.54/51.84 tff(21139,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21140,plain,
% 79.54/51.84 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21139, 7753, 8001])).
% 79.54/51.84 tff(21141,plain,
% 79.54/51.84 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21142,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21143,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21142, 21141])).
% 79.54/51.84 tff(21144,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21143, 17917, 7901, 17785])).
% 79.54/51.84 tff(21145,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_c_h_element_v_in1(c_e_h_1, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21146,plain,
% 79.54/51.84 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21145, 21140])).
% 79.54/51.84 tff(21147,plain,
% 79.54/51.84 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7453, 15523])).
% 79.54/51.84 tff(21148,plain,
% 79.54/51.84 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7465, 21147])).
% 79.54/51.84 tff(21149,plain,
% 79.54/51.84 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[6616, 8, 21148])).
% 79.54/51.84 tff(21150,plain,
% 79.54/51.84 (~node20(c_e_h_1, c_i, s5)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[6592, 22, 21149])).
% 79.54/51.84 tff(21151,plain,
% 79.54/51.84 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7492, 21150])).
% 79.54/51.84 tff(21152,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s6)), introduced(assumption)).
% 79.54/51.84 tff(21153,plain,
% 79.54/51.84 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21154,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21155,plain,
% 79.54/51.84 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 79.54/51.84 tff(21156,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21155, 527, 21152, 7495])).
% 79.54/51.84 tff(21157,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s6)) | m_and_h_gate_v_out(c_e_h_1, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21158,plain,
% 79.54/51.84 (~m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21157, 21151])).
% 79.54/51.84 tff(21159,plain,
% 79.54/51.84 (m_c_h_element_v_in1(c_e_h_1, c_f, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[14673, 14609, 14610])).
% 79.54/51.84 tff(21160,plain,
% 79.54/51.84 (~node18(c_e_h_1, c_f, s6, s7)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[14656, 14609, 14610])).
% 79.54/51.84 tff(21161,plain,
% 79.54/51.84 (node17(c_e_h_1, c_f, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[14664, 21160])).
% 79.54/51.84 tff(21162,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21163,plain,
% 79.54/51.84 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6) | (~node17(c_e_h_1, c_f, s6))) <=> ((~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21164,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6) | (~node17(c_e_h_1, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6)))),
% 79.54/51.84 inference(monotonicity,[status(thm)],[21163])).
% 79.54/51.84 tff(21165,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6) | (~node17(c_e_h_1, c_f, s6)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6))),
% 79.54/51.84 inference(transitivity,[status(thm)],[21164, 21162])).
% 79.54/51.84 tff(21166,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6) | (~node17(c_e_h_1, c_f, s6)))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21167,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s6)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 79.54/51.84 tff(21168,plain,
% 79.54/51.84 ($false),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21167, 541, 21161, 21159, 14640])).
% 79.54/51.84 tff(21169,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6) | m_c_h_element_v_out(c_e_h_1, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.84 tff(21170,plain,
% 79.54/51.84 ((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21169, 14607])).
% 79.54/51.84 tff(21171,plain,
% 79.54/51.84 (~m_c_h_element_v_out(c_e_h_1, c_f, s7)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21170, 21158])).
% 79.54/51.84 tff(21172,plain,
% 79.54/51.84 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18776, 397, 21171])).
% 79.54/51.84 tff(21173,plain,
% 79.54/51.84 (~node20(c_e_h_1, c_q, s7)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18780, 22, 21172])).
% 79.54/51.84 tff(21174,plain,
% 79.54/51.84 (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18906, 21173])).
% 79.54/51.84 tff(21175,plain,
% 79.54/51.84 (~m_cell_v_ack(c_e_h_2, s8)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[18994, 21174])).
% 79.54/51.84 tff(21176,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s8))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21177,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s8))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21178,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s8)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21177, 21176])).
% 79.54/51.84 tff(21179,plain,
% 79.54/51.84 (node2(c_e_h_1, c_e_h_2, s8)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21178, 2823, 7161])).
% 79.54/51.84 tff(21180,plain,
% 79.54/51.84 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s8)) | m_cell_v_ack(c_e_h_2, s8) | m_and_h_gate_v_in2(c_e_h_1, c_c, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s8)) | m_cell_v_ack(c_e_h_2, s8) | m_and_h_gate_v_in2(c_e_h_1, c_c, s8))),
% 79.54/51.84 inference(rewrite,[status(thm)],[])).
% 79.54/51.84 tff(21181,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s8)) | m_cell_v_ack(c_e_h_2, s8) | m_and_h_gate_v_in2(c_e_h_1, c_c, s8))),
% 79.54/51.84 inference(quant_inst,[status(thm)],[])).
% 79.54/51.84 tff(21182,plain,
% 79.54/51.84 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s8)) | m_cell_v_ack(c_e_h_2, s8) | m_and_h_gate_v_in2(c_e_h_1, c_c, s8)),
% 79.54/51.84 inference(modus_ponens,[status(thm)],[21181, 21180])).
% 79.54/51.84 tff(21183,plain,
% 79.54/51.84 (m_cell_v_ack(c_e_h_2, s8) | m_and_h_gate_v_in2(c_e_h_1, c_c, s8)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21182, 7175, 21179])).
% 79.54/51.84 tff(21184,plain,
% 79.54/51.84 (m_and_h_gate_v_in2(c_e_h_1, c_c, s8)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[21183, 21175])).
% 79.54/51.84 tff(21185,plain,
% 79.54/51.84 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7500, 21151])).
% 79.54/51.84 tff(21186,plain,
% 79.54/51.84 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[7592, 21185])).
% 79.54/51.84 tff(21187,plain,
% 79.54/51.84 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.54/51.84 inference(unit_resolution,[status(thm)],[15630, 15620])).
% 79.54/51.85 tff(21188,plain,
% 79.54/51.85 (~node20(c_e_h_1, c_c, s4)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15638, 21187])).
% 79.54/51.85 tff(21189,plain,
% 79.54/51.85 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15663, 21188, 6894])).
% 79.54/51.85 tff(21190,plain,
% 79.54/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[17776, 21189, 7753, 15321])).
% 79.54/51.85 tff(21191,plain,
% 79.54/51.85 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21192,plain,
% 79.54/51.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7))),
% 79.54/51.85 inference(quant_inst,[status(thm)],[])).
% 79.54/51.85 tff(21193,plain,
% 79.54/51.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.54/51.85 inference(modus_ponens,[status(thm)],[21192, 21191])).
% 79.54/51.85 tff(21194,plain,
% 79.54/51.85 ($false),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21193, 7440, 15382, 17825])).
% 79.54/51.85 tff(21195,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.85 tff(21196,plain,
% 79.54/51.85 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21195, 21190])).
% 79.54/51.85 tff(21197,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s8)), introduced(assumption)).
% 79.54/51.85 tff(21198,plain,
% 79.54/51.85 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15793, 21189, 15771])).
% 79.54/51.85 tff(21199,plain,
% 79.54/51.85 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15345, 15178])).
% 79.54/51.85 tff(21200,plain,
% 79.54/51.85 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[16100, 15178])).
% 79.54/51.85 tff(21201,plain,
% 79.54/51.85 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[16094, 21200, 21199])).
% 79.54/51.85 tff(21202,plain,
% 79.54/51.85 ($false),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[17774, 21201, 15320, 7634, 15796, 7753])).
% 79.54/51.85 tff(21203,plain,(m_user_v_req(c_e_h_1, c_u, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.85 tff(21204,plain,
% 79.54/51.85 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21203, 21198, 7753, 7634])).
% 79.54/51.85 tff(21205,plain,
% 79.54/51.85 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15278, 21204])).
% 79.54/51.85 tff(21206,plain,
% 79.54/51.85 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15417, 21205])).
% 79.54/51.85 tff(21207,plain,
% 79.54/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[15409, 21206, 21190])).
% 79.54/51.85 tff(21208,plain,
% 79.54/51.85 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21209,plain,
% 79.54/51.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8))),
% 79.54/51.85 inference(quant_inst,[status(thm)],[])).
% 79.54/51.85 tff(21210,plain,
% 79.54/51.85 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.54/51.85 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 79.54/51.85 tff(21211,plain,
% 79.54/51.85 ($false),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21210, 7440, 14989, 17793])).
% 79.54/51.85 tff(21212,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s8) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.85 tff(21213,plain,
% 79.54/51.85 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21212, 21207])).
% 79.54/51.85 tff(21214,assumption,(node21(c_e_h_1, c_c, s8, s9)), introduced(assumption)).
% 79.54/51.85 tff(21215,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21216,plain,
% 79.54/51.85 (((~node21(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)) <=> (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21217,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9))))),
% 79.54/51.85 inference(monotonicity,[status(thm)],[21216])).
% 79.54/51.85 tff(21218,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(transitivity,[status(thm)],[21217, 21215])).
% 79.54/51.85 tff(21219,plain,
% 79.54/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 79.54/51.85 inference(quant_inst,[status(thm)],[])).
% 79.54/51.85 tff(21220,plain,
% 79.54/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)) | (~node21(c_e_h_1, c_c, s8, s9))),
% 79.54/51.85 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 79.54/51.85 tff(21221,plain,
% 79.54/51.85 ($false),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21220, 7190, 21197, 17839, 21214, 17786])).
% 79.54/51.85 tff(21222,plain,((~node21(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8))), inference(lemma,lemma(discharge,[]))).
% 79.54/51.85 tff(21223,plain,
% 79.54/51.85 (~node21(c_e_h_1, c_c, s8, s9)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21222, 21213, 17839, 21197])).
% 79.54/51.85 tff(21224,plain,
% 79.54/51.85 (node22(c_e_h_1, c_c, s8, s9)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[17813, 21223])).
% 79.54/51.85 tff(21225,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21226,plain,
% 79.54/51.85 ((m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~node22(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(rewrite,[status(thm)],[])).
% 79.54/51.85 tff(21227,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~node22(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9))))),
% 79.54/51.85 inference(monotonicity,[status(thm)],[21226])).
% 79.54/51.85 tff(21228,plain,
% 79.54/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~node22(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9)))),
% 79.54/51.85 inference(transitivity,[status(thm)],[21227, 21225])).
% 79.54/51.85 tff(21229,plain,
% 79.54/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~node22(c_e_h_1, c_c, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)))),
% 79.54/51.85 inference(quant_inst,[status(thm)],[])).
% 79.54/51.85 tff(21230,plain,
% 79.54/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~node22(c_e_h_1, c_c, s8, s9))),
% 79.54/51.85 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 79.54/51.85 tff(21231,plain,
% 79.54/51.85 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21230, 6905, 17839, 21224])).
% 79.54/51.85 tff(21232,plain,
% 79.54/51.85 (~m_c_h_element_v_in1(c_e_h_1, c_e, s8)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[17760, 4240, 17802])).
% 79.54/51.85 tff(21233,plain,
% 79.54/51.85 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[7695, 17731, 7634])).
% 79.54/51.85 tff(21234,plain,
% 79.54/51.85 ($false),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[7838, 21233, 21232, 7753])).
% 79.54/51.85 tff(21235,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.54/51.85 tff(21236,plain,
% 79.54/51.85 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.54/51.85 inference(unit_resolution,[status(thm)],[21235, 21231, 7753, 7634])).
% 79.54/51.85 tff(21237,plain,
% 79.54/51.85 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s7))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21238,plain,
% 79.59/51.85 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s7))),
% 79.59/51.85 inference(quant_inst,[status(thm)],[])).
% 79.59/51.85 tff(21239,plain,
% 79.59/51.85 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s7)),
% 79.59/51.85 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 79.59/51.85 tff(21240,plain,
% 79.59/51.85 (node2(c_e_h_1, c_e_h_2, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21239, 2823, 7161])).
% 79.59/51.85 tff(21241,plain,
% 79.59/51.85 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s7)) | m_cell_v_ack(c_e_h_2, s7) | m_and_h_gate_v_in2(c_e_h_1, c_c, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s7)) | m_cell_v_ack(c_e_h_2, s7) | m_and_h_gate_v_in2(c_e_h_1, c_c, s7))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21242,plain,
% 79.59/51.85 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s7)) | m_cell_v_ack(c_e_h_2, s7) | m_and_h_gate_v_in2(c_e_h_1, c_c, s7))),
% 79.59/51.85 inference(quant_inst,[status(thm)],[])).
% 79.59/51.85 tff(21243,plain,
% 79.59/51.85 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s7)) | m_cell_v_ack(c_e_h_2, s7) | m_and_h_gate_v_in2(c_e_h_1, c_c, s7)),
% 79.59/51.85 inference(modus_ponens,[status(thm)],[21242, 21241])).
% 79.59/51.85 tff(21244,plain,
% 79.59/51.85 (m_cell_v_ack(c_e_h_2, s7) | m_and_h_gate_v_in2(c_e_h_1, c_c, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21243, 7175, 21240])).
% 79.59/51.85 tff(21245,plain,
% 79.59/51.85 (m_and_h_gate_v_in2(c_e_h_1, c_c, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21244, 19131])).
% 79.59/51.85 tff(21246,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21247,plain,
% 79.59/51.85 ((m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21248,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8))))),
% 79.59/51.85 inference(monotonicity,[status(thm)],[21247])).
% 79.59/51.85 tff(21249,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(transitivity,[status(thm)],[21248, 21246])).
% 79.59/51.85 tff(21250,plain,
% 79.59/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)))),
% 79.59/51.85 inference(quant_inst,[status(thm)],[])).
% 79.59/51.85 tff(21251,plain,
% 79.59/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node22(c_e_h_1, c_c, s7, s8))),
% 79.59/51.85 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 79.59/51.85 tff(21252,plain,
% 79.59/51.85 ($false),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21251, 6905, 15987, 17734, 17802])).
% 79.59/51.85 tff(21253,plain,((~node22(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.85 tff(21254,plain,
% 79.59/51.85 (~node22(c_e_h_1, c_c, s7, s8)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21253, 17802, 15987])).
% 79.59/51.85 tff(21255,plain,
% 79.59/51.85 (node21(c_e_h_1, c_c, s7, s8)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[17754, 21254])).
% 79.59/51.85 tff(21256,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s7)), introduced(assumption)).
% 79.59/51.85 tff(21257,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21258,plain,
% 79.59/51.85 (((~node21(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(rewrite,[status(thm)],[])).
% 79.59/51.85 tff(21259,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8))))),
% 79.59/51.85 inference(monotonicity,[status(thm)],[21258])).
% 79.59/51.85 tff(21260,plain,
% 79.59/51.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8)))),
% 79.59/51.85 inference(transitivity,[status(thm)],[21259, 21257])).
% 79.59/51.85 tff(21261,plain,
% 79.59/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 79.59/51.85 inference(quant_inst,[status(thm)],[])).
% 79.59/51.85 tff(21262,plain,
% 79.59/51.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~node21(c_e_h_1, c_c, s7, s8))),
% 79.59/51.85 inference(modus_ponens,[status(thm)],[21261, 21260])).
% 79.59/51.85 tff(21263,plain,
% 79.59/51.85 ($false),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21262, 7190, 21256, 21255, 17802, 17716])).
% 79.59/51.85 tff(21264,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.85 tff(21265,plain,
% 79.59/51.85 (m_and_h_gate_v_out(c_e_h_1, c_c, s8) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21264, 21245])).
% 79.59/51.85 tff(21266,plain,
% 79.59/51.85 ($false),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21265, 21236, 21231, 21196])).
% 79.59/51.85 tff(21267,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s5) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.85 tff(21268,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21267, 21186, 7753, 17839, 21184, 15587])).
% 79.59/51.85 tff(21269,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15316, 21268])).
% 79.59/51.85 tff(21270,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15380, 21269])).
% 79.59/51.85 tff(21271,plain,
% 79.59/51.85 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21195, 21270])).
% 79.59/51.85 tff(21272,plain,
% 79.59/51.85 (m_user_v_req(c_e_h_1, c_u, s4)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15169, 21268])).
% 79.59/51.85 tff(21273,plain,
% 79.59/51.85 (m_user_v_req(c_e_h_1, c_u, s6)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15249, 21272])).
% 79.59/51.85 tff(21274,plain,
% 79.59/51.85 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15278, 21273])).
% 79.59/51.85 tff(21275,plain,
% 79.59/51.85 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15417, 21274])).
% 79.59/51.85 tff(21276,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15409, 21275, 21270])).
% 79.59/51.85 tff(21277,plain,
% 79.59/51.85 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21212, 21276])).
% 79.59/51.85 tff(21278,plain,
% 79.59/51.85 (~node21(c_e_h_1, c_c, s8, s9)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21222, 21277, 17839, 21184])).
% 79.59/51.85 tff(21279,plain,
% 79.59/51.85 (node22(c_e_h_1, c_c, s8, s9)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[17813, 21278])).
% 79.59/51.85 tff(21280,plain,
% 79.59/51.85 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21230, 6905, 17839, 21279])).
% 79.59/51.85 tff(21281,plain,
% 79.59/51.85 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21235, 21280, 7753, 21186])).
% 79.59/51.85 tff(21282,plain,
% 79.59/51.85 ($false),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21265, 21281, 21280, 21271])).
% 79.59/51.85 tff(21283,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s3) | (~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.85 tff(21284,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[21283, 7753, 21146])).
% 79.59/51.85 tff(21285,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15473, 21284])).
% 79.59/51.85 tff(21286,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15511, 21285])).
% 79.59/51.85 tff(21287,plain,
% 79.59/51.85 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.59/51.85 inference(unit_resolution,[status(thm)],[15316, 21286])).
% 79.59/51.85 tff(21288,plain,
% 79.59/51.85 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21289,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21290,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 79.59/51.86 tff(21291,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21290, 7440, 15318, 15969])).
% 79.59/51.86 tff(21292,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21293,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21292, 21287])).
% 79.59/51.86 tff(21294,plain,
% 79.59/51.86 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15380, 21287])).
% 79.59/51.86 tff(21295,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21195, 21294])).
% 79.59/51.86 tff(21296,plain,
% 79.59/51.86 (m_user_v_req(c_e_h_1, c_u, s2)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15427, 21284])).
% 79.59/51.86 tff(21297,plain,
% 79.59/51.86 (m_user_v_req(c_e_h_1, c_u, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15433, 21296])).
% 79.59/51.86 tff(21298,plain,
% 79.59/51.86 (m_user_v_req(c_e_h_1, c_u, s7)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15449, 21297])).
% 79.59/51.86 tff(21299,plain,
% 79.59/51.86 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15417, 21298])).
% 79.59/51.86 tff(21300,plain,
% 79.59/51.86 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[15409, 21299, 21294])).
% 79.59/51.86 tff(21301,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21212, 21300])).
% 79.59/51.86 tff(21302,assumption,(~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)), introduced(assumption)).
% 79.59/51.86 tff(21303,plain,
% 79.59/51.86 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21304,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21305,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 79.59/51.86 tff(21306,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21305, 14999, 15006, 21302])).
% 79.59/51.86 tff(21307,plain,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21308,plain,
% 79.59/51.86 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21307, 21286])).
% 79.59/51.86 tff(21309,assumption,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)), introduced(assumption)).
% 79.59/51.86 tff(21310,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21311,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5)))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21312,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 79.59/51.86 tff(21313,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21312, 14978, 930, 13112, 21309])).
% 79.59/51.86 tff(21314,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21315,plain,
% 79.59/51.86 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21314, 21308])).
% 79.59/51.86 tff(21316,plain,
% 79.59/51.86 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13143, 21315])).
% 79.59/51.86 tff(21317,plain,
% 79.59/51.86 (~node20(c_e_h_1, c_d, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13151, 21316])).
% 79.59/51.86 tff(21318,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21319,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3)))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21320,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 79.59/51.86 tff(21321,plain,
% 79.59/51.86 (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21320, 14978, 463, 21284])).
% 79.59/51.86 tff(21322,plain,
% 79.59/51.86 (^[I0: $i, X: $i] : refl(((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X)) <=> ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X)))),
% 79.59/51.86 inference(bind,[status(th)],[])).
% 79.59/51.86 tff(21323,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(quant_intro,[status(thm)],[21322])).
% 79.59/51.86 tff(21324,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21325,plain,
% 79.59/51.86 (^[I0: $i, X: $i] : rewrite((m_mutex_h_half_v_other_h_out(I0, c_a, X) | (~m_mutex_h_half_v_out(I0, c_b, X))) <=> ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X)))),
% 79.59/51.86 inference(bind,[status(th)],[])).
% 79.59/51.86 tff(21326,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_mutex_h_half_v_other_h_out(I0, c_a, X) | (~m_mutex_h_half_v_out(I0, c_b, X))) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(quant_intro,[status(thm)],[21325])).
% 79.59/51.86 tff(21327,axiom,(![I0: $i, X: $i] : (m_mutex_h_half_v_other_h_out(I0, c_a, X) | (~m_mutex_h_half_v_out(I0, c_b, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_3')).
% 79.59/51.86 tff(21328,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21327, 21326])).
% 79.59/51.86 tff(21329,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21328, 21324])).
% 79.59/51.86 tff(21330,plain,(
% 79.59/51.86 ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(skolemize,[status(sab)],[21329])).
% 79.59/51.86 tff(21331,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21330, 21323])).
% 79.59/51.86 tff(21332,plain,
% 79.59/51.86 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21333,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21334,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_a, s3)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21333, 21332])).
% 79.59/51.86 tff(21335,plain,
% 79.59/51.86 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21334, 21331, 21321])).
% 79.59/51.86 tff(21336,plain,
% 79.59/51.86 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[12990, 21335])).
% 79.59/51.86 tff(21337,plain,
% 79.59/51.86 (~node20(c_e_h_1, c_d, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[12998, 21336])).
% 79.59/51.86 tff(21338,plain,
% 79.59/51.86 (~m_and_h_gate_v_out(c_e_h_1, c_d, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13022, 21337])).
% 79.59/51.86 tff(21339,plain,
% 79.59/51.86 (m_c_h_element_v_in2(c_e_h_1, c_f, s6)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21170, 14609])).
% 79.59/51.86 tff(21340,plain,
% 79.59/51.86 (m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21157, 21339])).
% 79.59/51.86 tff(21341,plain,
% 79.59/51.86 (node20(c_e_h_1, c_i, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[7492, 21340])).
% 79.59/51.86 tff(21342,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[6592, 22, 21341])).
% 79.59/51.86 tff(21343,plain,
% 79.59/51.86 (m_c_h_element_v_in1(c_e_h_1, c_f, s6)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[14674, 14609])).
% 79.59/51.86 tff(21344,plain,
% 79.59/51.86 (m_and_h_gate_v_out(c_e_h_1, c_d, s6)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[14374, 21343])).
% 79.59/51.86 tff(21345,plain,
% 79.59/51.86 (m_and_h_gate_v_out(c_e_h_1, c_d, s5)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13174, 21344, 13153])).
% 79.59/51.86 tff(21346,plain,
% 79.59/51.86 (node5(c_e_h_1, c_g, s3, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[6881, 6747])).
% 79.59/51.86 tff(21347,plain,
% 79.59/51.86 (node20(c_e_h_1, c_d, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13109, 13068, 13086])).
% 79.59/51.86 tff(21348,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_d, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13083, 21347])).
% 79.59/51.86 tff(21349,plain,
% 79.59/51.86 (m_mutex_h_half_v_out(c_e_h_1, c_b, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13075, 21348])).
% 79.59/51.86 tff(21350,plain,
% 79.59/51.86 (node21(c_e_h_1, c_d, s2, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[6851, 6836])).
% 79.59/51.86 tff(21351,plain,
% 79.59/51.86 (node20(c_e_h_1, c_d, s2)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[6846, 21350, 6827])).
% 79.59/51.86 tff(21352,plain,
% 79.59/51.86 (m_and_h_gate_v_in1(c_e_h_1, c_d, s2)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[6825, 22, 21351])).
% 79.59/51.86 tff(21353,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21354,plain,
% 79.59/51.86 ((m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21355,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4))))),
% 79.59/51.86 inference(monotonicity,[status(thm)],[21354])).
% 79.59/51.86 tff(21356,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)))),
% 79.59/51.86 inference(transitivity,[status(thm)],[21355, 21353])).
% 79.59/51.86 tff(21357,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21358,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~node22(c_e_h_1, c_d, s3, s4))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 79.59/51.86 tff(21359,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21358, 6905, 13068, 13002, 6827])).
% 79.59/51.86 tff(21360,plain,((~node22(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s3))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21361,plain,
% 79.59/51.86 (~node22(c_e_h_1, c_d, s3, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21360, 6827, 13068])).
% 79.59/51.86 tff(21362,plain,
% 79.59/51.86 (node21(c_e_h_1, c_d, s3, s4)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13012, 21361])).
% 79.59/51.86 tff(21363,plain,
% 79.59/51.86 (^[I0: $i, X: $i] : refl((m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X)) <=> (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X)))),
% 79.59/51.86 inference(bind,[status(th)],[])).
% 79.59/51.86 tff(21364,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))),
% 79.59/51.86 inference(quant_intro,[status(thm)],[21363])).
% 79.59/51.86 tff(21365,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21366,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_17')).
% 79.59/51.86 tff(21367,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 79.59/51.86 tff(21368,plain,(
% 79.59/51.86 ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))),
% 79.59/51.86 inference(skolemize,[status(sab)],[21367])).
% 79.59/51.86 tff(21369,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21368, 21364])).
% 79.59/51.86 tff(21370,plain,
% 79.59/51.86 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_d, s3) | m_user_v_ack(c_e_h_1, c_u, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_1, c_d, s3) | m_user_v_ack(c_e_h_1, c_u, s3))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21371,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_d, s3) | m_user_v_ack(c_e_h_1, c_u, s3))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21372,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_1, c_d, s3) | m_user_v_ack(c_e_h_1, c_u, s3)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21371, 21370])).
% 79.59/51.86 tff(21373,plain,
% 79.59/51.86 (m_and_h_gate_v_in2(c_e_h_1, c_d, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21372, 21369, 15011])).
% 79.59/51.86 tff(21374,assumption,(node21(c_e_h_1, c_d, s3, s4)), introduced(assumption)).
% 79.59/51.86 tff(21375,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21376,plain,
% 79.59/51.86 (((~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21377,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)))),
% 79.59/51.86 inference(monotonicity,[status(thm)],[21376])).
% 79.59/51.86 tff(21378,plain,
% 79.59/51.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.59/51.86 inference(transitivity,[status(thm)],[21377, 21375])).
% 79.59/51.86 tff(21379,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21380,plain,
% 79.59/51.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s3)) | (~node21(c_e_h_1, c_d, s3, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 79.59/51.86 tff(21381,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21380, 7190, 13068, 21374, 21373, 12984])).
% 79.59/51.86 tff(21382,plain,((~node21(c_e_h_1, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21383,plain,
% 79.59/51.86 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21382, 21362, 13068])).
% 79.59/51.86 tff(21384,plain,
% 79.59/51.86 (^[I0: $i, X: $i] : refl(((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X)) <=> ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X)))),
% 79.59/51.86 inference(bind,[status(th)],[])).
% 79.59/51.86 tff(21385,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(quant_intro,[status(thm)],[21384])).
% 79.59/51.86 tff(21386,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X)) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21387,plain,
% 79.59/51.86 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_d, X) | (~m_mutex_h_half_v_out(I0, c_b, X))) <=> ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X)))),
% 79.59/51.86 inference(bind,[status(th)],[])).
% 79.59/51.86 tff(21388,plain,
% 79.59/51.86 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_d, X) | (~m_mutex_h_half_v_out(I0, c_b, X))) <=> ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(quant_intro,[status(thm)],[21387])).
% 79.59/51.86 tff(21389,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_d, X) | (~m_mutex_h_half_v_out(I0, c_b, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_15')).
% 79.59/51.86 tff(21390,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 79.59/51.86 tff(21391,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21390, 21386])).
% 79.59/51.86 tff(21392,plain,(
% 79.59/51.86 ![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(skolemize,[status(sab)],[21391])).
% 79.59/51.86 tff(21393,plain,
% 79.59/51.86 (![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21392, 21385])).
% 79.59/51.86 tff(21394,plain,
% 79.59/51.86 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21395,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21396,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 79.59/51.86 tff(21397,plain,
% 79.59/51.86 ($false),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21396, 21393, 12942, 12992])).
% 79.59/51.86 tff(21398,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.86 tff(21399,plain,
% 79.59/51.86 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21398, 21383])).
% 79.59/51.86 tff(21400,plain,
% 79.59/51.86 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13064, 21399, 13040])).
% 79.59/51.86 tff(21401,plain,
% 79.59/51.86 (m_cell_v_req(c_e_h_2, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13038, 21400])).
% 79.59/51.86 tff(21402,plain,
% 79.59/51.86 (m_and_h_gate_v_out(c_e_h_2, c_p, s3)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[13029, 21401])).
% 79.59/51.86 tff(21403,plain,
% 79.59/51.86 (m_and_h_gate_v_out(c_e_h_2, c_p, s2)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[12895, 21402])).
% 79.59/51.86 tff(21404,plain,
% 79.59/51.86 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | m_cell_v_req(c_e_h_2, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | m_cell_v_req(c_e_h_2, s2))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21405,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | m_cell_v_req(c_e_h_2, s2))),
% 79.59/51.86 inference(quant_inst,[status(thm)],[])).
% 79.59/51.86 tff(21406,plain,
% 79.59/51.86 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s2)) | m_cell_v_req(c_e_h_2, s2)),
% 79.59/51.86 inference(modus_ponens,[status(thm)],[21405, 21404])).
% 79.59/51.86 tff(21407,plain,
% 79.59/51.86 (m_cell_v_req(c_e_h_2, s2)),
% 79.59/51.86 inference(unit_resolution,[status(thm)],[21406, 14352, 21403])).
% 79.59/51.86 tff(21408,plain,
% 79.59/51.86 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21409,plain,
% 79.59/51.86 (((~node1(c_e_h_1, c_e_h_2, s2)) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) <=> ((~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2)))),
% 79.59/51.86 inference(rewrite,[status(thm)],[])).
% 79.59/51.86 tff(21410,plain,
% 79.59/51.86 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2))))),
% 79.59/51.86 inference(monotonicity,[status(thm)],[21409])).
% 79.59/51.86 tff(21411,plain,
% 79.59/51.86 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2)))),
% 79.59/51.86 inference(transitivity,[status(thm)],[21410, 21408])).
% 79.59/51.86 tff(21412,plain,
% 79.59/51.86 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s2)) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21413,plain,
% 79.59/51.87 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2) | (~node1(c_e_h_1, c_e_h_2, s2))),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 79.59/51.87 tff(21414,plain,
% 79.59/51.87 ((~m_cell_v_req(c_e_h_2, s2)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21413, 14332, 12957])).
% 79.59/51.87 tff(21415,plain,
% 79.59/51.87 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21414, 21407])).
% 79.59/51.87 tff(21416,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)), introduced(assumption)).
% 79.59/51.87 tff(21417,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21418,plain,
% 79.59/51.87 (((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21419,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3))))),
% 79.59/51.87 inference(monotonicity,[status(thm)],[21418])).
% 79.59/51.87 tff(21420,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(transitivity,[status(thm)],[21419, 21417])).
% 79.59/51.87 tff(21421,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21422,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node12(c_e_h_1, c_b, s2, s3))),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21421, 21420])).
% 79.59/51.87 tff(21423,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21422, 7301, 21416, 12966, 12985])).
% 79.59/51.87 tff(21424,plain,((~node12(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s2)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21425,plain,
% 79.59/51.87 (~node12(c_e_h_1, c_b, s2, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21424, 21415, 21399])).
% 79.59/51.87 tff(21426,plain,
% 79.59/51.87 (node13(c_e_h_1, c_b, s2, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[12981, 21425])).
% 79.59/51.87 tff(21427,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21428,plain,
% 79.59/51.87 ((m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node13(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2))) <=> (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21429,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node13(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3))))),
% 79.59/51.87 inference(monotonicity,[status(thm)],[21428])).
% 79.59/51.87 tff(21430,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node13(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3)))),
% 79.59/51.87 inference(transitivity,[status(thm)],[21429, 21427])).
% 79.59/51.87 tff(21431,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~node13(c_e_h_1, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21432,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)) | (~node13(c_e_h_1, c_b, s2, s3))),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 79.59/51.87 tff(21433,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21432, 7277, 12943, 12985, 6749])).
% 79.59/51.87 tff(21434,plain,((~node13(c_e_h_1, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21435,plain,
% 79.59/51.87 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21434, 21426, 21399])).
% 79.59/51.87 tff(21436,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[6821, 966, 21435, 21352])).
% 79.59/51.87 tff(21437,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s3)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21438,plain,
% 79.59/51.87 (~m_and_h_gate_v_out(c_e_h_1, c_d, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21437, 21349, 13068])).
% 79.59/51.87 tff(21439,plain,
% 79.59/51.87 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[6861, 21438])).
% 79.59/51.87 tff(21440,plain,
% 79.59/51.87 (m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[6872, 21439, 21346, 6659])).
% 79.59/51.87 tff(21441,plain,
% 79.59/51.87 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[6891, 21440])).
% 79.59/51.87 tff(21442,plain,
% 79.59/51.87 (node20(c_e_h_1, c_c, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7221, 21441])).
% 79.59/51.87 tff(21443,plain,
% 79.59/51.87 (m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7229, 21442])).
% 79.59/51.87 tff(21444,plain,
% 79.59/51.87 (m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7237, 21443])).
% 79.59/51.87 tff(21445,plain,
% 79.59/51.87 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s1)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7260, 21444])).
% 79.59/51.87 tff(21446,plain,
% 79.59/51.87 (m_user_v_req(c_e_h_1, c_u, s1)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7264, 2765, 21445])).
% 79.59/51.87 tff(21447,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21448,plain,
% 79.59/51.87 (((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4))) <=> ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21449,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4))))),
% 79.59/51.87 inference(monotonicity,[status(thm)],[21448])).
% 79.59/51.87 tff(21450,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)))),
% 79.59/51.87 inference(transitivity,[status(thm)],[21449, 21447])).
% 79.59/51.87 tff(21451,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21452,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s4))),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 79.59/51.87 tff(21453,plain,
% 79.59/51.87 (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21452, 14978, 711, 21349])).
% 79.59/51.87 tff(21454,plain,
% 79.59/51.87 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21455,plain,
% 79.59/51.87 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21456,plain,
% 79.59/51.87 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s4)),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 79.59/51.87 tff(21457,plain,
% 79.59/51.87 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21456, 14999, 21453])).
% 79.59/51.87 tff(21458,plain,
% 79.59/51.87 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[15473, 21457])).
% 79.59/51.87 tff(21459,plain,
% 79.59/51.87 (~node13(c_e_h_1, c_a, s2, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7285, 21444, 21458])).
% 79.59/51.87 tff(21460,plain,
% 79.59/51.87 (node12(c_e_h_1, c_a, s2, s3)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7290, 21459])).
% 79.59/51.87 tff(21461,plain,
% 79.59/51.87 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7307, 7301, 21460, 21458])).
% 79.59/51.87 tff(21462,plain,
% 79.59/51.87 (~m_user_v_req(c_e_h_1, c_u, s2)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7321, 7318, 21461])).
% 79.59/51.87 tff(21463,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7427, 21462, 21446])).
% 79.59/51.87 tff(21464,plain,(m_and_h_gate_v_out(c_e_h_1, c_d, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21465,plain,
% 79.59/51.87 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21464, 21345, 13068])).
% 79.59/51.87 tff(21466,plain,
% 79.59/51.87 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7453, 21465])).
% 79.59/51.87 tff(21467,plain,
% 79.59/51.87 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[7465, 21466])).
% 79.59/51.87 tff(21468,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[6616, 8, 21467, 21342])).
% 79.59/51.87 tff(21469,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s7)) | m_and_h_gate_v_out(c_e_h_1, c_d, s4) | node20(c_e_h_1, c_d, s5)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21470,plain,
% 79.59/51.87 (~m_c_h_element_v_out(c_e_h_1, c_f, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21469, 21338, 21317])).
% 79.59/51.87 tff(21471,plain,
% 79.59/51.87 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[18776, 397, 21470])).
% 79.59/51.87 tff(21472,plain,
% 79.59/51.87 (~node20(c_e_h_1, c_q, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[18780, 22, 21471])).
% 79.59/51.87 tff(21473,plain,
% 79.59/51.87 (~m_and_h_gate_v_out(c_e_h_1, c_q, s8)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[18906, 21472])).
% 79.59/51.87 tff(21474,plain,
% 79.59/51.87 (~m_cell_v_ack(c_e_h_2, s8)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[18994, 21473])).
% 79.59/51.87 tff(21475,plain,
% 79.59/51.87 (m_and_h_gate_v_in2(c_e_h_1, c_c, s8)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21183, 21474])).
% 79.59/51.87 tff(21476,plain,
% 79.59/51.87 (~node21(c_e_h_1, c_c, s8, s9)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21222, 21475, 21146, 21301])).
% 79.59/51.87 tff(21477,plain,
% 79.59/51.87 (node22(c_e_h_1, c_c, s8, s9)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[17813, 21476])).
% 79.59/51.87 tff(21478,plain,
% 79.59/51.87 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21230, 6905, 21146, 21477])).
% 79.59/51.87 tff(21479,plain,
% 79.59/51.87 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21265, 21478, 21295])).
% 79.59/51.87 tff(21480,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21481,plain,
% 79.59/51.87 ((m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node22(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21482,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node22(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)))),
% 79.59/51.87 inference(monotonicity,[status(thm)],[21481])).
% 79.59/51.87 tff(21483,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node22(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.59/51.87 inference(transitivity,[status(thm)],[21482, 21480])).
% 79.59/51.87 tff(21484,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node22(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21485,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | (~node22(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 79.59/51.87 tff(21486,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21485, 6905, 15772, 15988, 17727])).
% 79.59/51.87 tff(21487,plain,((~node22(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21488,plain,
% 79.59/51.87 (~node22(c_e_h_1, c_c, s6, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21487, 17727, 15772])).
% 79.59/51.87 tff(21489,plain,
% 79.59/51.87 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s6))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21490,plain,
% 79.59/51.87 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s6))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21491,plain,
% 79.59/51.87 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s6)),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21490, 21489])).
% 79.59/51.87 tff(21492,plain,
% 79.59/51.87 (node2(c_e_h_1, c_e_h_2, s6)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21491, 2823, 7161])).
% 79.59/51.87 tff(21493,plain,
% 79.59/51.87 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s6)) | m_cell_v_ack(c_e_h_2, s6) | m_and_h_gate_v_in2(c_e_h_1, c_c, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s6)) | m_cell_v_ack(c_e_h_2, s6) | m_and_h_gate_v_in2(c_e_h_1, c_c, s6))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21494,plain,
% 79.59/51.87 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s6)) | m_cell_v_ack(c_e_h_2, s6) | m_and_h_gate_v_in2(c_e_h_1, c_c, s6))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21495,plain,
% 79.59/51.87 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s6)) | m_cell_v_ack(c_e_h_2, s6) | m_and_h_gate_v_in2(c_e_h_1, c_c, s6)),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 79.59/51.87 tff(21496,plain,
% 79.59/51.87 (m_cell_v_ack(c_e_h_2, s6) | m_and_h_gate_v_in2(c_e_h_1, c_c, s6)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21495, 7175, 21492])).
% 79.59/51.87 tff(21497,plain,
% 79.59/51.87 (m_and_h_gate_v_in2(c_e_h_1, c_c, s6)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21496, 19149])).
% 79.59/51.87 tff(21498,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s6)), introduced(assumption)).
% 79.59/51.87 tff(21499,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21500,plain,
% 79.59/51.87 (((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7)))),
% 79.59/51.87 inference(rewrite,[status(thm)],[])).
% 79.59/51.87 tff(21501,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7))))),
% 79.59/51.87 inference(monotonicity,[status(thm)],[21500])).
% 79.59/51.87 tff(21502,plain,
% 79.59/51.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7)))),
% 79.59/51.87 inference(transitivity,[status(thm)],[21501, 21499])).
% 79.59/51.87 tff(21503,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7))),
% 79.59/51.87 inference(quant_inst,[status(thm)],[])).
% 79.59/51.87 tff(21504,plain,
% 79.59/51.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~node21(c_e_h_1, c_c, s6, s7))),
% 79.59/51.87 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 79.59/51.87 tff(21505,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21504, 7190, 21498, 15995, 17727, 15962])).
% 79.59/51.87 tff(21506,plain,((~node21(c_e_h_1, c_c, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21507,plain,
% 79.59/51.87 ((~node21(c_e_h_1, c_c, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6))),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21506, 21497])).
% 79.59/51.87 tff(21508,plain,
% 79.59/51.87 (~node21(c_e_h_1, c_c, s6, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21507, 17727, 15962])).
% 79.59/51.87 tff(21509,plain,
% 79.59/51.87 ($false),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[16005, 21508, 21488])).
% 79.59/51.87 tff(21510,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s6))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.87 tff(21511,plain,
% 79.59/51.87 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21510, 21479, 21293])).
% 79.59/51.87 tff(21512,plain,
% 79.59/51.87 (m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[21235, 21479, 7753, 21478])).
% 79.59/51.87 tff(21513,plain,
% 79.59/51.87 ((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 79.59/51.87 inference(unit_resolution,[status(thm)],[17702, 5906])).
% 79.59/51.87 tff(21514,plain,
% 79.59/51.87 (m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21513, 21512])).
% 79.59/51.88 tff(21515,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[17709, 21514, 21511])).
% 79.59/51.88 tff(21516,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s9)) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21517,plain,
% 79.59/51.88 (m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21516, 21100])).
% 79.59/51.88 tff(21518,plain,
% 79.59/51.88 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X)) <=> ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X)))),
% 79.59/51.88 inference(bind,[status(th)],[])).
% 79.59/51.88 tff(21519,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(quant_intro,[status(thm)],[21518])).
% 79.59/51.88 tff(21520,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21521,plain,
% 79.59/51.88 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_r, X) | (~m_c_h_element_v_out(I0, c_e, X))) <=> ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X)))),
% 79.59/51.88 inference(bind,[status(th)],[])).
% 79.59/51.88 tff(21522,plain,
% 79.59/51.88 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_r, X) | (~m_c_h_element_v_out(I0, c_e, X))) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(quant_intro,[status(thm)],[21521])).
% 79.59/51.88 tff(21523,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_r, X) | (~m_c_h_element_v_out(I0, c_e, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_71')).
% 79.59/51.88 tff(21524,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21523, 21522])).
% 79.59/51.88 tff(21525,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21524, 21520])).
% 79.59/51.88 tff(21526,plain,(
% 79.59/51.88 ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(skolemize,[status(sab)],[21525])).
% 79.59/51.88 tff(21527,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21526, 21519])).
% 79.59/51.88 tff(21528,plain,
% 79.59/51.88 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21529,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21530,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_e, X)) | m_and_h_gate_v_in1(I0, c_r, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10)),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21529, 21528])).
% 79.59/51.88 tff(21531,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21530, 21527, 7892, 18531])).
% 79.59/51.88 tff(21532,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21533,plain,
% 79.59/51.88 (m_and_h_gate_v_in1(c_e_h_1, c_r, s10)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21532, 21517])).
% 79.59/51.88 tff(21534,assumption,(node21(c_e_h_1, c_r, s10, s11)), introduced(assumption)).
% 79.59/51.88 tff(21535,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21536,plain,
% 79.59/51.88 (((~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21537,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11))))),
% 79.59/51.88 inference(monotonicity,[status(thm)],[21536])).
% 79.59/51.88 tff(21538,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(transitivity,[status(thm)],[21537, 21535])).
% 79.59/51.88 tff(21539,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21540,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10)) | (~node21(c_e_h_1, c_r, s10, s11))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 79.59/51.88 tff(21541,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21540, 7190, 21534, 18547, 17458, 18524])).
% 79.59/51.88 tff(21542,plain,((~node21(c_e_h_1, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21543,plain,
% 79.59/51.88 (~node21(c_e_h_1, c_r, s10, s11)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21542, 18547, 17458, 18524])).
% 79.59/51.88 tff(21544,plain,
% 79.59/51.88 (node22(c_e_h_1, c_r, s10, s11)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[17484, 21543])).
% 79.59/51.88 tff(21545,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21546,plain,
% 79.59/51.88 ((m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~node22(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10))) <=> (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21547,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~node22(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11))))),
% 79.59/51.88 inference(monotonicity,[status(thm)],[21546])).
% 79.59/51.88 tff(21548,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~node22(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11)))),
% 79.59/51.88 inference(transitivity,[status(thm)],[21547, 21545])).
% 79.59/51.88 tff(21549,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~node22(c_e_h_1, c_r, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21550,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~node22(c_e_h_1, c_r, s10, s11))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 79.59/51.88 tff(21551,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21550, 6905, 9460, 21544, 18547])).
% 79.59/51.88 tff(21552,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s10))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21553,plain,
% 79.59/51.88 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s10)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21552, 21533, 18547, 21098])).
% 79.59/51.88 tff(21554,plain,
% 79.59/51.88 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X)) <=> ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X)))),
% 79.59/51.88 inference(bind,[status(th)],[])).
% 79.59/51.88 tff(21555,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(quant_intro,[status(thm)],[21554])).
% 79.59/51.88 tff(21556,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21557,plain,
% 79.59/51.88 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in2(I0, c_r, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X)))),
% 79.59/51.88 inference(bind,[status(th)],[])).
% 79.59/51.88 tff(21558,plain,
% 79.59/51.88 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_r, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(quant_intro,[status(thm)],[21557])).
% 79.59/51.88 tff(21559,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_r, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_73')).
% 79.59/51.88 tff(21560,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 79.59/51.88 tff(21561,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21560, 21556])).
% 79.59/51.88 tff(21562,plain,(
% 79.59/51.88 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(skolemize,[status(sab)],[21561])).
% 79.59/51.88 tff(21563,plain,
% 79.59/51.88 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21562, 21555])).
% 79.59/51.88 tff(21564,plain,
% 79.59/51.88 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21565,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21566,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_r, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s10)),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21565, 21564])).
% 79.59/51.88 tff(21567,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21566, 21563, 16435, 17465])).
% 79.59/51.88 tff(21568,plain,(m_and_h_gate_v_in2(c_e_h_1, c_r, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21569,plain,
% 79.59/51.88 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21568, 21553])).
% 79.59/51.88 tff(21570,plain,
% 79.59/51.88 (node20(c_e_h_1, c_i, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[8741, 21087])).
% 79.59/51.88 tff(21571,plain,
% 79.59/51.88 (m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[7468, 21570])).
% 79.59/51.88 tff(21572,plain,
% 79.59/51.88 (m_and_h_gate_v_in2(c_e_h_1, c_i, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[6600, 21570])).
% 79.59/51.88 tff(21573,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_i, s5)), introduced(assumption)).
% 79.59/51.88 tff(21574,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[6611, 6608, 4429, 21573])).
% 79.59/51.88 tff(21575,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21576,plain,
% 79.59/51.88 (~m_or_h_gate_v_out(c_e_h_1, c_j, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21575, 21572])).
% 79.59/51.88 tff(21577,plain,
% 79.59/51.88 (~m_c_h_element_v_in2(c_e_h_1, c_h, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[6191, 21576])).
% 79.59/51.88 tff(21578,plain,
% 79.59/51.88 (m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[6257, 21577, 21571])).
% 79.59/51.88 tff(21579,plain,
% 79.59/51.88 (m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[7465, 21578])).
% 79.59/51.88 tff(21580,plain,
% 79.59/51.88 (m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[7453, 21579])).
% 79.59/51.88 tff(21581,plain,
% 79.59/51.88 (m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[7445, 21580])).
% 79.59/51.88 tff(21582,plain,
% 79.59/51.88 (m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[15592, 21581])).
% 79.59/51.88 tff(21583,plain,
% 79.59/51.88 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[15473, 21582])).
% 79.59/51.88 tff(21584,plain,
% 79.59/51.88 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[15511, 21583])).
% 79.59/51.88 tff(21585,plain,
% 79.59/51.88 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[15316, 21584])).
% 79.59/51.88 tff(21586,plain,
% 79.59/51.88 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[15380, 21585])).
% 79.59/51.88 tff(21587,assumption,(~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)), introduced(assumption)).
% 79.59/51.88 tff(21588,plain,
% 79.59/51.88 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21589,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21590,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 79.59/51.88 tff(21591,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21590, 14999, 15382, 21587])).
% 79.59/51.88 tff(21592,plain,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21593,plain,
% 79.59/51.88 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21592, 21586])).
% 79.59/51.88 tff(21594,assumption,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)), introduced(assumption)).
% 79.59/51.88 tff(21595,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21596,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7)))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21597,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 79.59/51.88 tff(21598,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21597, 14978, 1685, 13452, 21594])).
% 79.59/51.88 tff(21599,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s7))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21600,plain,
% 79.59/51.88 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21599, 21593])).
% 79.59/51.88 tff(21601,plain,
% 79.59/51.88 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s7)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[13480, 21600])).
% 79.59/51.88 tff(21602,plain,
% 79.59/51.88 (~node20(c_e_h_1, c_d, s7)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[13488, 21601])).
% 79.59/51.88 tff(21603,plain,
% 79.59/51.88 (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[14290, 21602])).
% 79.59/51.88 tff(21604,plain,
% 79.59/51.88 (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[14367, 21603])).
% 79.59/51.88 tff(21605,plain,
% 79.59/51.88 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[14836, 21604])).
% 79.59/51.88 tff(21606,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.59/51.88 tff(21607,plain,
% 79.59/51.88 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21608,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21609,plain,
% 79.59/51.88 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_m, X) | m_c_h_element_v_out(I0, c_f, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 79.59/51.88 tff(21610,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21609, 145, 14887, 21606])).
% 79.59/51.88 tff(21611,plain,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21612,plain,
% 79.59/51.88 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21611, 21605])).
% 79.59/51.88 tff(21613,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~node11(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~node11(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21614,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~node11(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21615,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~node11(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21614, 21613])).
% 79.59/51.88 tff(21616,plain,
% 79.59/51.88 ($false),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21615, 208, 16436, 8624, 16457])).
% 79.59/51.88 tff(21617,plain,((~node11(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.88 tff(21618,plain,
% 79.59/51.88 (~node11(c_e_h_1, c_m, s9, s10)),
% 79.59/51.88 inference(unit_resolution,[status(thm)],[21617, 16457, 8624])).
% 79.59/51.88 tff(21619,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)), introduced(assumption)).
% 79.59/51.88 tff(21620,assumption,(node10(c_e_h_1, c_m, s9, s10)), introduced(assumption)).
% 79.59/51.88 tff(21621,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21622,plain,
% 79.59/51.88 (((~node10(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.59/51.88 inference(rewrite,[status(thm)],[])).
% 79.59/51.88 tff(21623,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10))))),
% 79.59/51.88 inference(monotonicity,[status(thm)],[21622])).
% 79.59/51.88 tff(21624,plain,
% 79.59/51.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10)))),
% 79.59/51.88 inference(transitivity,[status(thm)],[21623, 21621])).
% 79.59/51.88 tff(21625,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_m, s9, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 79.59/51.88 inference(quant_inst,[status(thm)],[])).
% 79.59/51.88 tff(21626,plain,
% 79.59/51.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~node10(c_e_h_1, c_m, s9, s10))),
% 79.59/51.88 inference(modus_ponens,[status(thm)],[21625, 21624])).
% 79.59/51.89 tff(21627,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21626, 160, 21620, 16457, 21619, 16419])).
% 79.59/51.89 tff(21628,plain,((~node10(c_e_h_1, c_m, s9, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21629,plain,
% 79.59/51.89 (~node10(c_e_h_1, c_m, s9, s10)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21628, 16457, 21619, 16419])).
% 79.59/51.89 tff(21630,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[16446, 21629, 21618])).
% 79.59/51.89 tff(21631,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21632,plain,
% 79.59/51.89 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21631, 21612, 21569, 21087])).
% 79.59/51.89 tff(21633,plain,
% 79.59/51.89 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21634,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21635,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 79.59/51.89 tff(21636,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21635, 121, 16336, 16427])).
% 79.59/51.89 tff(21637,plain,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21638,plain,
% 79.59/51.89 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21637, 21632])).
% 79.59/51.89 tff(21639,plain,
% 79.59/51.89 (node9(c_e_h_1, c_m, s8)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[20597, 21087])).
% 79.59/51.89 tff(21640,plain,
% 79.59/51.89 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[8711, 238, 21639])).
% 79.59/51.89 tff(21641,plain,
% 79.59/51.89 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[8707, 3886, 21640])).
% 79.59/51.89 tff(21642,plain,
% 79.59/51.89 (node9(c_e_h_1, c_n, s8)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[20616, 21641, 21638])).
% 79.59/51.89 tff(21643,plain,
% 79.59/51.89 (m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15592, 6641])).
% 79.59/51.89 tff(21644,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[7443, 7440, 15148, 15562])).
% 79.59/51.89 tff(21645,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s3) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21646,plain,
% 79.59/51.89 (m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21645, 21643])).
% 79.59/51.89 tff(21647,plain,
% 79.59/51.89 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15590, 2486, 6894])).
% 79.59/51.89 tff(21648,plain,
% 79.59/51.89 (m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15553, 21647, 6641])).
% 79.59/51.89 tff(21649,plain,
% 79.59/51.89 (m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[6883, 21648])).
% 79.59/51.89 tff(21650,plain,
% 79.59/51.89 (m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[6891, 21649])).
% 79.59/51.89 tff(21651,plain,
% 79.59/51.89 (~node22(c_e_h_1, c_c, s3, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[6913, 21650, 6894])).
% 79.59/51.89 tff(21652,plain,
% 79.59/51.89 (node21(c_e_h_1, c_c, s3, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[6918, 21651])).
% 79.59/51.89 tff(21653,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[7196, 7190, 7180, 21652, 6894, 21646])).
% 79.59/51.89 tff(21654,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s4) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21655,plain,
% 79.59/51.89 (m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21654, 6641])).
% 79.59/51.89 tff(21656,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21657,plain,
% 79.59/51.89 ((m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4))) <=> ((~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21658,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.59/51.89 inference(monotonicity,[status(thm)],[21657])).
% 79.59/51.89 tff(21659,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(transitivity,[status(thm)],[21658, 21656])).
% 79.59/51.89 tff(21660,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21661,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21660, 21659])).
% 79.59/51.89 tff(21662,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21661, 6905, 15640, 15570, 12656])).
% 79.59/51.89 tff(21663,plain,((~node22(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21664,plain,
% 79.59/51.89 (~node22(c_e_h_1, c_c, s4, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21663, 21655, 12656])).
% 79.59/51.89 tff(21665,plain,
% 79.59/51.89 (node21(c_e_h_1, c_c, s4, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15661, 21664])).
% 79.59/51.89 tff(21666,plain,
% 79.59/51.89 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s4))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21667,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s4))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21668,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s4)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21667, 21666])).
% 79.59/51.89 tff(21669,plain,
% 79.59/51.89 (node2(c_e_h_1, c_e_h_2, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21668, 2823, 7161])).
% 79.59/51.89 tff(21670,plain,
% 79.59/51.89 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s4)) | m_cell_v_ack(c_e_h_2, s4) | m_and_h_gate_v_in2(c_e_h_1, c_c, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s4)) | m_cell_v_ack(c_e_h_2, s4) | m_and_h_gate_v_in2(c_e_h_1, c_c, s4))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21671,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s4)) | m_cell_v_ack(c_e_h_2, s4) | m_and_h_gate_v_in2(c_e_h_1, c_c, s4))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21672,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s4)) | m_cell_v_ack(c_e_h_2, s4) | m_and_h_gate_v_in2(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 79.59/51.89 tff(21673,plain,
% 79.59/51.89 (m_cell_v_ack(c_e_h_2, s4) | m_and_h_gate_v_in2(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21672, 7175, 21669])).
% 79.59/51.89 tff(21674,plain,
% 79.59/51.89 (m_and_h_gate_v_in2(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21673, 10425])).
% 79.59/51.89 tff(21675,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s4)), introduced(assumption)).
% 79.59/51.89 tff(21676,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21677,plain,
% 79.59/51.89 (((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21678,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.59/51.89 inference(monotonicity,[status(thm)],[21677])).
% 79.59/51.89 tff(21679,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(transitivity,[status(thm)],[21678, 21676])).
% 79.59/51.89 tff(21680,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21681,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)) | (~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 79.59/51.89 tff(21682,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21681, 7190, 21675, 15648, 12656, 15625])).
% 79.59/51.89 tff(21683,plain,((~node21(c_e_h_1, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s4)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21684,plain,
% 79.59/51.89 ((~node21(c_e_h_1, c_c, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4))),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21683, 21674])).
% 79.59/51.89 tff(21685,plain,
% 79.59/51.89 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21684, 21665, 12656])).
% 79.59/51.89 tff(21686,plain,
% 79.59/51.89 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15473, 21643])).
% 79.59/51.89 tff(21687,plain,
% 79.59/51.89 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21688,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21689,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 79.59/51.89 tff(21690,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21689, 7440, 21686, 21685])).
% 79.59/51.89 tff(21691,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21692,plain,
% 79.59/51.89 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21691, 21581])).
% 79.59/51.89 tff(21693,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21694,plain,
% 79.59/51.89 ((m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node22(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))) <=> (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21695,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node22(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6))))),
% 79.59/51.89 inference(monotonicity,[status(thm)],[21694])).
% 79.59/51.89 tff(21696,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node22(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.89 inference(transitivity,[status(thm)],[21695, 21693])).
% 79.59/51.89 tff(21697,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node22(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21698,plain,
% 79.59/51.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~node22(c_e_h_1, c_c, s5, s6))),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21697, 21696])).
% 79.59/51.89 tff(21699,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21698, 6905, 15624, 15773, 15796])).
% 79.59/51.89 tff(21700,plain,((~node22(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21701,plain,
% 79.59/51.89 (~node22(c_e_h_1, c_c, s5, s6)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21700, 15796, 15624])).
% 79.59/51.89 tff(21702,plain,
% 79.59/51.89 (m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15670, 15624])).
% 79.59/51.89 tff(21703,plain,
% 79.59/51.89 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[15511, 21702])).
% 79.59/51.89 tff(21704,plain,
% 79.59/51.89 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21705,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21706,plain,
% 79.59/51.89 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 79.59/51.89 tff(21707,plain,
% 79.59/51.89 ($false),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21706, 7440, 15006, 15765])).
% 79.59/51.89 tff(21708,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s5) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.89 tff(21709,plain,
% 79.59/51.89 (m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21708, 21703])).
% 79.59/51.89 tff(21710,plain,
% 79.59/51.89 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21711,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s5))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21712,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s5)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21711, 21710])).
% 79.59/51.89 tff(21713,plain,
% 79.59/51.89 (node2(c_e_h_1, c_e_h_2, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21712, 2823, 7161])).
% 79.59/51.89 tff(21714,plain,
% 79.59/51.89 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s5)) | m_cell_v_ack(c_e_h_2, s5) | m_and_h_gate_v_in2(c_e_h_1, c_c, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s5)) | m_cell_v_ack(c_e_h_2, s5) | m_and_h_gate_v_in2(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21715,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s5)) | m_cell_v_ack(c_e_h_2, s5) | m_and_h_gate_v_in2(c_e_h_1, c_c, s5))),
% 79.59/51.89 inference(quant_inst,[status(thm)],[])).
% 79.59/51.89 tff(21716,plain,
% 79.59/51.89 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s5)) | m_cell_v_ack(c_e_h_2, s5) | m_and_h_gate_v_in2(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 79.59/51.89 tff(21717,plain,
% 79.59/51.89 (m_cell_v_ack(c_e_h_2, s5) | m_and_h_gate_v_in2(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21716, 7175, 21713])).
% 79.59/51.89 tff(21718,plain,
% 79.59/51.89 (m_and_h_gate_v_in2(c_e_h_1, c_c, s5)),
% 79.59/51.89 inference(unit_resolution,[status(thm)],[21717, 19162])).
% 79.59/51.89 tff(21719,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s5)), introduced(assumption)).
% 79.59/51.89 tff(21720,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21721,plain,
% 79.59/51.89 (((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.89 inference(rewrite,[status(thm)],[])).
% 79.59/51.89 tff(21722,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6))))),
% 79.59/51.89 inference(monotonicity,[status(thm)],[21721])).
% 79.59/51.89 tff(21723,plain,
% 79.59/51.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6)))),
% 79.59/51.90 inference(transitivity,[status(thm)],[21722, 21720])).
% 79.59/51.90 tff(21724,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21725,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~node21(c_e_h_1, c_c, s5, s6))),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 79.59/51.90 tff(21726,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21725, 7190, 21719, 15781, 15796, 15757])).
% 79.59/51.90 tff(21727,plain,((~node21(c_e_h_1, c_c, s5, s6)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21728,plain,
% 79.59/51.90 ((~node21(c_e_h_1, c_c, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5))),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21727, 21718])).
% 79.59/51.90 tff(21729,plain,
% 79.59/51.90 (~node21(c_e_h_1, c_c, s5, s6)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21728, 15796, 21709])).
% 79.59/51.90 tff(21730,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[15791, 21729, 21701])).
% 79.59/51.90 tff(21731,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s5))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21732,plain,
% 79.59/51.90 (m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21731, 21692])).
% 79.59/51.90 tff(21733,plain,
% 79.59/51.90 (m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21292, 21585])).
% 79.59/51.90 tff(21734,plain,
% 79.59/51.90 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21510, 21733, 21732])).
% 79.59/51.90 tff(21735,plain,
% 79.59/51.90 (m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[20698, 21734])).
% 79.59/51.90 tff(21736,plain,
% 79.59/51.90 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[20626, 21641])).
% 79.59/51.90 tff(21737,plain,
% 79.59/51.90 (m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[8639, 21736])).
% 79.59/51.90 tff(21738,plain,
% 79.59/51.90 (m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[20692, 21737, 21735])).
% 79.59/51.90 tff(21739,plain,
% 79.59/51.90 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[20624, 12541, 21738])).
% 79.59/51.90 tff(21740,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[20620, 12334, 21739, 21642])).
% 79.59/51.90 tff(21741,plain,(xuntil28(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21742,plain,
% 79.59/51.90 (xuntil28(s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21741, 18547])).
% 79.59/51.90 tff(21743,plain,
% 79.59/51.90 (until27(s11)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[17451, 21742])).
% 79.59/51.90 tff(21744,assumption,(~node20(c_e_h_1, c_r, s16)), introduced(assumption)).
% 79.59/51.90 tff(21745,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)), introduced(assumption)).
% 79.59/51.90 tff(21746,plain,
% 79.59/51.90 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21747,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21748,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 79.59/51.90 tff(21749,plain,
% 79.59/51.90 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21748, 3964])).
% 79.59/51.90 tff(21750,plain,
% 79.59/51.90 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21749, 12654])).
% 79.59/51.90 tff(21751,plain,
% 79.59/51.90 (~m_c_h_element_v_in2(c_e_h_2, c_h, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[19767, 19395])).
% 79.59/51.90 tff(21752,plain,
% 79.59/51.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21753,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s9))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21754,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s9)) | m_c_h_element_v_out(c_e_h_2, c_h, s9)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 79.59/51.90 tff(21755,plain,
% 79.59/51.90 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21754, 8, 19668])).
% 79.59/51.90 tff(21756,plain,
% 79.59/51.90 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s9))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21757,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s9))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21758,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s9)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21757, 21756])).
% 79.59/51.90 tff(21759,plain,
% 79.59/51.90 (~node20(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21758, 22, 21755])).
% 79.59/51.90 tff(21760,plain,
% 79.59/51.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21761,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s8))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21762,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s8)) | m_c_h_element_v_out(c_e_h_2, c_h, s8)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 79.59/51.90 tff(21763,plain,
% 79.59/51.90 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s8)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21762, 8, 19577])).
% 79.59/51.90 tff(21764,plain,
% 79.59/51.90 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s8))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21765,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s8))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21766,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s8)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s8)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21765, 21764])).
% 79.59/51.90 tff(21767,plain,
% 79.59/51.90 (~node20(c_e_h_2, c_i, s8)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21766, 22, 21763])).
% 79.59/51.90 tff(21768,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s9)), introduced(assumption)).
% 79.59/51.90 tff(21769,assumption,(node22(c_e_h_2, c_i, s8, s9)), introduced(assumption)).
% 79.59/51.90 tff(21770,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node22(c_e_h_2, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node22(c_e_h_2, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21771,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node22(c_e_h_2, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21772,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node22(c_e_h_2, c_i, s8, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 79.59/51.90 tff(21773,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21772, 437, 21768, 20339, 21769])).
% 79.59/51.90 tff(21774,plain,((~node22(c_e_h_2, c_i, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21775,plain,
% 79.59/51.90 (~node22(c_e_h_2, c_i, s8, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21774, 21768, 20339])).
% 79.59/51.90 tff(21776,assumption,(~node20(c_e_h_2, c_i, s8)), introduced(assumption)).
% 79.59/51.90 tff(21777,assumption,(node21(c_e_h_2, c_i, s8, s9)), introduced(assumption)).
% 79.59/51.90 tff(21778,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9)))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21779,plain,
% 79.59/51.90 ((node20(c_e_h_2, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node21(c_e_h_2, c_i, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9)))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21780,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node21(c_e_h_2, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9))))),
% 79.59/51.90 inference(monotonicity,[status(thm)],[21779])).
% 79.59/51.90 tff(21781,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node21(c_e_h_2, c_i, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9)))),
% 79.59/51.90 inference(transitivity,[status(thm)],[21780, 21778])).
% 79.59/51.90 tff(21782,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s8) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | (~node21(c_e_h_2, c_i, s8, s9)))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21783,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | (~node21(c_e_h_2, c_i, s8, s9))),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 79.59/51.90 tff(21784,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21783, 348, 21768, 21777, 21776])).
% 79.59/51.90 tff(21785,plain,((~node21(c_e_h_2, c_i, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21786,plain,
% 79.59/51.90 (~node21(c_e_h_2, c_i, s8, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21785, 21768, 21776])).
% 79.59/51.90 tff(21787,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_i, s8, s9) | node22(c_e_h_2, c_i, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_i, s8, s9) | node22(c_e_h_2, c_i, s8, s9))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21788,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_2, c_i, s8, s9) | node22(c_e_h_2, c_i, s8, s9))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21789,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_2, c_i, s8, s9) | node22(c_e_h_2, c_i, s8, s9)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 79.59/51.90 tff(21790,plain,
% 79.59/51.90 (node21(c_e_h_2, c_i, s8, s9) | node22(c_e_h_2, c_i, s8, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21789, 383, 3713])).
% 79.59/51.90 tff(21791,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21790, 21786, 21775])).
% 79.59/51.90 tff(21792,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s9)) | node20(c_e_h_2, c_i, s8) | m_and_h_gate_v_out(c_e_h_2, c_i, s8)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21793,plain,
% 79.59/51.90 (~m_and_h_gate_v_out(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21792, 20338, 21767])).
% 79.59/51.90 tff(21794,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s9)), introduced(assumption)).
% 79.59/51.90 tff(21795,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s10)), introduced(assumption)).
% 79.59/51.90 tff(21796,assumption,(node22(c_e_h_2, c_i, s9, s10)), introduced(assumption)).
% 79.59/51.90 tff(21797,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node22(c_e_h_2, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node22(c_e_h_2, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21798,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node22(c_e_h_2, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21799,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node22(c_e_h_2, c_i, s9, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 79.59/51.90 tff(21800,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21799, 437, 21796, 21795, 21794])).
% 79.59/51.90 tff(21801,plain,((~node22(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21802,plain,
% 79.59/51.90 (~node22(c_e_h_2, c_i, s9, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21801, 21795, 21794])).
% 79.59/51.90 tff(21803,assumption,(~node20(c_e_h_2, c_i, s9)), introduced(assumption)).
% 79.59/51.90 tff(21804,assumption,(node21(c_e_h_2, c_i, s9, s10)), introduced(assumption)).
% 79.59/51.90 tff(21805,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21806,plain,
% 79.59/51.90 ((node20(c_e_h_2, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node21(c_e_h_2, c_i, s9, s10))) <=> (node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21807,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node21(c_e_h_2, c_i, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10))))),
% 79.59/51.90 inference(monotonicity,[status(thm)],[21806])).
% 79.59/51.90 tff(21808,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node21(c_e_h_2, c_i, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)))),
% 79.59/51.90 inference(transitivity,[status(thm)],[21807, 21805])).
% 79.59/51.90 tff(21809,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s9) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | (~node21(c_e_h_2, c_i, s9, s10)))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21810,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s9) | (~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10))),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 79.59/51.90 tff(21811,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21810, 348, 21804, 21795, 21803])).
% 79.59/51.90 tff(21812,plain,((~node21(c_e_h_2, c_i, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | node20(c_e_h_2, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21813,plain,
% 79.59/51.90 (~node21(c_e_h_2, c_i, s9, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21812, 21795, 21803])).
% 79.59/51.90 tff(21814,plain,
% 79.59/51.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_i, s9, s10) | node22(c_e_h_2, c_i, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_i, s9, s10) | node22(c_e_h_2, c_i, s9, s10))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21815,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_2, c_i, s9, s10) | node22(c_e_h_2, c_i, s9, s10))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21816,plain,
% 79.59/51.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_2, c_i, s9, s10) | node22(c_e_h_2, c_i, s9, s10)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 79.59/51.90 tff(21817,plain,
% 79.59/51.90 (node21(c_e_h_2, c_i, s9, s10) | node22(c_e_h_2, c_i, s9, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21816, 383, 6039])).
% 79.59/51.90 tff(21818,plain,
% 79.59/51.90 ($false),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21817, 21813, 21802])).
% 79.59/51.90 tff(21819,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | node20(c_e_h_2, c_i, s9) | m_and_h_gate_v_out(c_e_h_2, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.90 tff(21820,plain,
% 79.59/51.90 ((~m_and_h_gate_v_out(c_e_h_2, c_i, s10)) | node20(c_e_h_2, c_i, s9)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21819, 21793])).
% 79.59/51.90 tff(21821,plain,
% 79.59/51.90 (~m_and_h_gate_v_out(c_e_h_2, c_i, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21820, 21759])).
% 79.59/51.90 tff(21822,plain,
% 79.59/51.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21823,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s10))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21824,plain,
% 79.59/51.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)) | m_c_h_element_v_out(c_e_h_2, c_h, s10)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21823, 21822])).
% 79.59/51.90 tff(21825,plain,
% 79.59/51.90 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21824, 8, 19760])).
% 79.59/51.90 tff(21826,plain,
% 79.59/51.90 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s10))),
% 79.59/51.90 inference(rewrite,[status(thm)],[])).
% 79.59/51.90 tff(21827,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s10))),
% 79.59/51.90 inference(quant_inst,[status(thm)],[])).
% 79.59/51.90 tff(21828,plain,
% 79.59/51.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s10)),
% 79.59/51.90 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 79.59/51.90 tff(21829,plain,
% 79.59/51.90 (~node20(c_e_h_2, c_i, s10)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[21828, 22, 21825])).
% 79.59/51.90 tff(21830,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s12)), introduced(assumption)).
% 79.59/51.90 tff(21831,plain,
% 79.59/51.90 (~m_c_h_element_v_out(c_e_h_2, c_h, s11)),
% 79.59/51.90 inference(unit_resolution,[status(thm)],[19829, 19760, 19799])).
% 79.59/51.90 tff(21832,plain,
% 79.59/51.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21833,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s11))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21834,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s11)) | m_c_h_element_v_out(c_e_h_2, c_h, s11)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 79.59/51.91 tff(21835,plain,
% 79.59/51.91 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21834, 8, 21831])).
% 79.59/51.91 tff(21836,plain,
% 79.59/51.91 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21837,plain,
% 79.59/51.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21838,plain,
% 79.59/51.91 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21837, 21836])).
% 79.59/51.91 tff(21839,plain,
% 79.59/51.91 (~node20(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21838, 22, 21835])).
% 79.59/51.91 tff(21840,assumption,(~node20(c_e_h_2, c_i, s11)), introduced(assumption)).
% 79.59/51.91 tff(21841,assumption,(node21(c_e_h_2, c_i, s11, s12)), introduced(assumption)).
% 79.59/51.91 tff(21842,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node21(c_e_h_2, c_i, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node21(c_e_h_2, c_i, s11, s12)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21843,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node21(c_e_h_2, c_i, s11, s12)))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21844,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node21(c_e_h_2, c_i, s11, s12))),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21843, 21842])).
% 79.59/51.91 tff(21845,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21844, 348, 21841, 21830, 21840])).
% 79.59/51.91 tff(21846,plain,((~node21(c_e_h_2, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | node20(c_e_h_2, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21847,plain,
% 79.59/51.91 (~node21(c_e_h_2, c_i, s11, s12)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21846, 21839, 21830])).
% 79.59/51.91 tff(21848,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_i, s11, s12) | node22(c_e_h_2, c_i, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_i, s11, s12) | node22(c_e_h_2, c_i, s11, s12))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21849,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_i, s11, s12) | node22(c_e_h_2, c_i, s11, s12))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21850,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_i, s11, s12) | node22(c_e_h_2, c_i, s11, s12)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 79.59/51.91 tff(21851,plain,
% 79.59/51.91 (node21(c_e_h_2, c_i, s11, s12) | node22(c_e_h_2, c_i, s11, s12)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21850, 383, 8210])).
% 79.59/51.91 tff(21852,plain,
% 79.59/51.91 (node22(c_e_h_2, c_i, s11, s12)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21851, 21847])).
% 79.59/51.91 tff(21853,assumption,(node22(c_e_h_2, c_i, s11, s12)), introduced(assumption)).
% 79.59/51.91 tff(21854,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s11)), introduced(assumption)).
% 79.59/51.91 tff(21855,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node22(c_e_h_2, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node22(c_e_h_2, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21856,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node22(c_e_h_2, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21857,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | (~node22(c_e_h_2, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21856, 21855])).
% 79.59/51.91 tff(21858,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21857, 437, 21854, 21853, 21830])).
% 79.59/51.91 tff(21859,plain,((~node22(c_e_h_2, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21860,plain,
% 79.59/51.91 (m_and_h_gate_v_out(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21859, 21852, 21830])).
% 79.59/51.91 tff(21861,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s10)), introduced(assumption)).
% 79.59/51.91 tff(21862,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s11)), introduced(assumption)).
% 79.59/51.91 tff(21863,assumption,(node22(c_e_h_2, c_i, s10, s11)), introduced(assumption)).
% 79.59/51.91 tff(21864,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node22(c_e_h_2, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node22(c_e_h_2, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21865,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node22(c_e_h_2, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21866,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node22(c_e_h_2, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 79.59/51.91 tff(21867,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21866, 437, 21863, 21861, 21862])).
% 79.59/51.91 tff(21868,plain,((~node22(c_e_h_2, c_i, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21869,plain,
% 79.59/51.91 (~node22(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21868, 21860, 21861])).
% 79.59/51.91 tff(21870,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_i, s10, s11) | node22(c_e_h_2, c_i, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_i, s10, s11) | node22(c_e_h_2, c_i, s10, s11))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21871,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_i, s10, s11) | node22(c_e_h_2, c_i, s10, s11))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21872,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_i, s10, s11) | node22(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 79.59/51.91 tff(21873,plain,
% 79.59/51.91 (node21(c_e_h_2, c_i, s10, s11) | node22(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21872, 383, 8015])).
% 79.59/51.91 tff(21874,plain,
% 79.59/51.91 (node21(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21873, 21869])).
% 79.59/51.91 tff(21875,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node21(c_e_h_2, c_i, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node21(c_e_h_2, c_i, s10, s11)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21876,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node21(c_e_h_2, c_i, s10, s11)))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21877,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | (~node21(c_e_h_2, c_i, s10, s11))),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 79.59/51.91 tff(21878,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21877, 348, 21874, 21860, 21829])).
% 79.59/51.91 tff(21879,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21880,plain,
% 79.59/51.91 (m_c_h_element_v_out(c_e_h_2, c_h, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s10)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21879, 21821])).
% 79.59/51.91 tff(21881,plain,
% 79.59/51.91 (~m_and_h_gate_v_out(c_e_h_2, c_i, s12)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21880, 19758, 21751])).
% 79.59/51.91 tff(21882,plain,
% 79.59/51.91 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s10)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21824, 8, 19758])).
% 79.59/51.91 tff(21883,plain,
% 79.59/51.91 (~node20(c_e_h_2, c_i, s10)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21828, 22, 21882])).
% 79.59/51.91 tff(21884,plain,
% 79.59/51.91 (~node22(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21868, 21862, 21861])).
% 79.59/51.91 tff(21885,assumption,(~node20(c_e_h_2, c_i, s10)), introduced(assumption)).
% 79.59/51.91 tff(21886,assumption,(node21(c_e_h_2, c_i, s10, s11)), introduced(assumption)).
% 79.59/51.91 tff(21887,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21877, 348, 21886, 21862, 21885])).
% 79.59/51.91 tff(21888,plain,((~node21(c_e_h_2, c_i, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | node20(c_e_h_2, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21889,plain,
% 79.59/51.91 (~node21(c_e_h_2, c_i, s10, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21888, 21862, 21885])).
% 79.59/51.91 tff(21890,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21873, 21889, 21884])).
% 79.59/51.91 tff(21891,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | node20(c_e_h_2, c_i, s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21892,plain,
% 79.59/51.91 ((~m_and_h_gate_v_out(c_e_h_2, c_i, s11)) | node20(c_e_h_2, c_i, s10)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21891, 21821])).
% 79.59/51.91 tff(21893,plain,
% 79.59/51.91 (~m_and_h_gate_v_out(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21892, 21883])).
% 79.59/51.91 tff(21894,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s11)), introduced(assumption)).
% 79.59/51.91 tff(21895,plain,
% 79.59/51.91 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21896,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21897,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21896, 21895])).
% 79.59/51.91 tff(21898,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21897, 4785, 21854, 21894])).
% 79.59/51.91 tff(21899,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s11)) | m_and_h_gate_v_out(c_e_h_2, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21900,plain,
% 79.59/51.91 (~m_c_h_element_v_in2(c_e_h_2, c_e, s11)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21899, 21893])).
% 79.59/51.91 tff(21901,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)), introduced(assumption)).
% 79.59/51.91 tff(21902,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)), introduced(assumption)).
% 79.59/51.91 tff(21903,plain,
% 79.59/51.91 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21904,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21905,plain,
% 79.59/51.91 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 79.59/51.91 tff(21906,plain,
% 79.59/51.91 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21905, 3976])).
% 79.59/51.91 tff(21907,plain,
% 79.59/51.91 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21906, 18685])).
% 79.59/51.91 tff(21908,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)), introduced(assumption)).
% 79.59/51.91 tff(21909,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)), introduced(assumption)).
% 79.59/51.91 tff(21910,assumption,(node10(c_e_h_1, c_n, s14, s15)), introduced(assumption)).
% 79.59/51.91 tff(21911,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21912,plain,
% 79.59/51.91 (((~node10(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21913,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15))))),
% 79.59/51.91 inference(monotonicity,[status(thm)],[21912])).
% 79.59/51.91 tff(21914,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(transitivity,[status(thm)],[21913, 21911])).
% 79.59/51.91 tff(21915,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21916,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)) | (~node10(c_e_h_1, c_n, s14, s15))),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 79.59/51.91 tff(21917,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21916, 160, 21909, 21901, 21908, 21910])).
% 79.59/51.91 tff(21918,plain,((~node10(c_e_h_1, c_n, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21919,plain,
% 79.59/51.91 (~node10(c_e_h_1, c_n, s14, s15)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21918, 21909, 21901, 21908])).
% 79.59/51.91 tff(21920,assumption,(node11(c_e_h_1, c_n, s14, s15)), introduced(assumption)).
% 79.59/51.91 tff(21921,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21922,plain,
% 79.59/51.91 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~node11(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21923,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~node11(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15))))),
% 79.59/51.91 inference(monotonicity,[status(thm)],[21922])).
% 79.59/51.91 tff(21924,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~node11(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15)))),
% 79.59/51.91 inference(transitivity,[status(thm)],[21923, 21921])).
% 79.59/51.91 tff(21925,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~node11(c_e_h_1, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21926,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~node11(c_e_h_1, c_n, s14, s15))),
% 79.59/51.91 inference(modus_ponens,[status(thm)],[21925, 21924])).
% 79.59/51.91 tff(21927,plain,
% 79.59/51.91 ($false),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21926, 208, 21909, 21902, 21920])).
% 79.59/51.91 tff(21928,plain,((~node11(c_e_h_1, c_n, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.91 tff(21929,plain,
% 79.59/51.91 (~node11(c_e_h_1, c_n, s14, s15)),
% 79.59/51.91 inference(unit_resolution,[status(thm)],[21928, 21909, 21902])).
% 79.59/51.91 tff(21930,plain,
% 79.59/51.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_1, c_n, s14, s15) | node11(c_e_h_1, c_n, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_1, c_n, s14, s15) | node11(c_e_h_1, c_n, s14, s15))),
% 79.59/51.91 inference(rewrite,[status(thm)],[])).
% 79.59/51.91 tff(21931,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_1, c_n, s14, s15) | node11(c_e_h_1, c_n, s14, s15))),
% 79.59/51.91 inference(quant_inst,[status(thm)],[])).
% 79.59/51.91 tff(21932,plain,
% 79.59/51.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_1, c_n, s14, s15) | node11(c_e_h_1, c_n, s14, s15)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21931, 21930])).
% 79.59/51.92 tff(21933,plain,
% 79.59/51.92 (node10(c_e_h_1, c_n, s14, s15) | node11(c_e_h_1, c_n, s14, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21932, 193, 18664])).
% 79.59/51.92 tff(21934,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21933, 21929, 21919])).
% 79.59/51.92 tff(21935,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(21936,plain,
% 79.59/51.92 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21935, 21902, 21901, 21907])).
% 79.59/51.92 tff(21937,plain,
% 79.59/51.92 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21938,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21939,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 79.59/51.92 tff(21940,plain,
% 79.59/51.92 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21939, 3886, 21902])).
% 79.59/51.92 tff(21941,plain,
% 79.59/51.92 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21942,plain,
% 79.59/51.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21943,plain,
% 79.59/51.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 79.59/51.92 tff(21944,plain,
% 79.59/51.92 (~node9(c_e_h_1, c_m, s14)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21943, 238, 21940])).
% 79.59/51.92 tff(21945,assumption,(~node9(c_e_h_1, c_m, s14)), introduced(assumption)).
% 79.59/51.92 tff(21946,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)), introduced(assumption)).
% 79.59/51.92 tff(21947,assumption,(node11(c_e_h_1, c_m, s14, s15)), introduced(assumption)).
% 79.59/51.92 tff(21948,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node11(c_e_h_1, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node11(c_e_h_1, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21949,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node11(c_e_h_1, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21950,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node11(c_e_h_1, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 79.59/51.92 tff(21951,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21950, 282, 18685, 21946, 21947])).
% 79.59/51.92 tff(21952,plain,((~node11(c_e_h_1, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(21953,plain,
% 79.59/51.92 (~node11(c_e_h_1, c_m, s14, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21952, 21946, 18685])).
% 79.59/51.92 tff(21954,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_1, c_m, s14, s15) | node11(c_e_h_1, c_m, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_1, c_m, s14, s15) | node11(c_e_h_1, c_m, s14, s15))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21955,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_1, c_m, s14, s15) | node11(c_e_h_1, c_m, s14, s15))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21956,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_1, c_m, s14, s15) | node11(c_e_h_1, c_m, s14, s15)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 79.59/51.92 tff(21957,plain,
% 79.59/51.92 (node10(c_e_h_1, c_m, s14, s15) | node11(c_e_h_1, c_m, s14, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21956, 193, 18664])).
% 79.59/51.92 tff(21958,plain,
% 79.59/51.92 (node10(c_e_h_1, c_m, s14, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21957, 21953])).
% 79.59/51.92 tff(21959,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node10(c_e_h_1, c_m, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node10(c_e_h_1, c_m, s14, s15)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21960,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node10(c_e_h_1, c_m, s14, s15)))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21961,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | (~node10(c_e_h_1, c_m, s14, s15))),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21960, 21959])).
% 79.59/51.92 tff(21962,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21961, 252, 21946, 21958, 21945])).
% 79.59/51.92 tff(21963,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)) | node9(c_e_h_1, c_m, s14) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(21964,plain,
% 79.59/51.92 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21963, 21944, 18685])).
% 79.59/51.92 tff(21965,plain,
% 79.59/51.92 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21966,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21967,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21966, 21965])).
% 79.59/51.92 tff(21968,plain,
% 79.59/51.92 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21967, 3976])).
% 79.59/51.92 tff(21969,plain,
% 79.59/51.92 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21968, 21964])).
% 79.59/51.92 tff(21970,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)), introduced(assumption)).
% 79.59/51.92 tff(21971,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)), introduced(assumption)).
% 79.59/51.92 tff(21972,assumption,(node11(c_e_h_1, c_n, s15, s16)), introduced(assumption)).
% 79.59/51.92 tff(21973,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21974,plain,
% 79.59/51.92 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~node11(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21975,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~node11(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16))))),
% 79.59/51.92 inference(monotonicity,[status(thm)],[21974])).
% 79.59/51.92 tff(21976,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~node11(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(transitivity,[status(thm)],[21975, 21973])).
% 79.59/51.92 tff(21977,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~node11(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21978,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | (~node11(c_e_h_1, c_n, s15, s16))),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21977, 21976])).
% 79.59/51.92 tff(21979,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21978, 208, 21971, 21970, 21972])).
% 79.59/51.92 tff(21980,plain,((~node11(c_e_h_1, c_n, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(21981,plain,
% 79.59/51.92 (~node11(c_e_h_1, c_n, s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21980, 21971, 21970])).
% 79.59/51.92 tff(21982,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)), introduced(assumption)).
% 79.59/51.92 tff(21983,assumption,(node10(c_e_h_1, c_n, s15, s16)), introduced(assumption)).
% 79.59/51.92 tff(21984,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21985,plain,
% 79.59/51.92 (((~node10(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21986,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16))))),
% 79.59/51.92 inference(monotonicity,[status(thm)],[21985])).
% 79.59/51.92 tff(21987,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16)))),
% 79.59/51.92 inference(transitivity,[status(thm)],[21986, 21984])).
% 79.59/51.92 tff(21988,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21989,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~node10(c_e_h_1, c_n, s15, s16))),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21988, 21987])).
% 79.59/51.92 tff(21990,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21989, 160, 21971, 21982, 21084, 21983])).
% 79.59/51.92 tff(21991,plain,((~node10(c_e_h_1, c_n, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(21992,plain,
% 79.59/51.92 (~node10(c_e_h_1, c_n, s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21991, 21971, 21982, 21084])).
% 79.59/51.92 tff(21993,plain,
% 79.59/51.92 (succ(s15, s16) <=> succ(s15, s16)),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21994,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 79.59/51.92 tff(21995,plain,
% 79.59/51.92 (succ(s15, s16)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 79.59/51.92 tff(21996,plain,
% 79.59/51.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(21997,plain,
% 79.59/51.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(21998,plain,
% 79.59/51.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 79.59/51.92 tff(21999,plain,
% 79.59/51.92 (trans(s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[21998, 21995, 176])).
% 79.59/51.92 tff(22000,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_1, c_n, s15, s16) | node11(c_e_h_1, c_n, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_1, c_n, s15, s16) | node11(c_e_h_1, c_n, s15, s16))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(22001,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_1, c_n, s15, s16) | node11(c_e_h_1, c_n, s15, s16))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(22002,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_1, c_n, s15, s16) | node11(c_e_h_1, c_n, s15, s16)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 79.59/51.92 tff(22003,plain,
% 79.59/51.92 (node10(c_e_h_1, c_n, s15, s16) | node11(c_e_h_1, c_n, s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22002, 193, 21999])).
% 79.59/51.92 tff(22004,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22003, 21992, 21981])).
% 79.59/51.92 tff(22005,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(22006,plain,
% 79.59/51.92 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22005, 21969, 21084, 21936])).
% 79.59/51.92 tff(22007,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)), introduced(assumption)).
% 79.59/51.92 tff(22008,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)), introduced(assumption)).
% 79.59/51.92 tff(22009,plain,
% 79.59/51.92 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(22010,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(22011,plain,
% 79.59/51.92 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15))),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 79.59/51.92 tff(22012,plain,
% 79.59/51.92 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22011, 3886, 21936])).
% 79.59/51.92 tff(22013,plain,
% 79.59/51.92 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(22014,plain,
% 79.59/51.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(22015,plain,
% 79.59/51.92 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[22014, 22013])).
% 79.59/51.92 tff(22016,plain,
% 79.59/51.92 (~node9(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22015, 238, 22012])).
% 79.59/51.92 tff(22017,assumption,(~node9(c_e_h_1, c_m, s15)), introduced(assumption)).
% 79.59/51.92 tff(22018,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)), introduced(assumption)).
% 79.59/51.92 tff(22019,assumption,(node11(c_e_h_1, c_m, s15, s16)), introduced(assumption)).
% 79.59/51.92 tff(22020,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node11(c_e_h_1, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node11(c_e_h_1, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(22021,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node11(c_e_h_1, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(22022,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node11(c_e_h_1, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 79.59/51.92 tff(22023,plain,
% 79.59/51.92 ($false),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22022, 282, 22018, 22008, 22019])).
% 79.59/51.92 tff(22024,plain,((~node11(c_e_h_1, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.92 tff(22025,plain,
% 79.59/51.92 (~node11(c_e_h_1, c_m, s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22024, 22008, 22018])).
% 79.59/51.92 tff(22026,plain,
% 79.59/51.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_1, c_m, s15, s16) | node11(c_e_h_1, c_m, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_1, c_m, s15, s16) | node11(c_e_h_1, c_m, s15, s16))),
% 79.59/51.92 inference(rewrite,[status(thm)],[])).
% 79.59/51.92 tff(22027,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_1, c_m, s15, s16) | node11(c_e_h_1, c_m, s15, s16))),
% 79.59/51.92 inference(quant_inst,[status(thm)],[])).
% 79.59/51.92 tff(22028,plain,
% 79.59/51.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_1, c_m, s15, s16) | node11(c_e_h_1, c_m, s15, s16)),
% 79.59/51.92 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 79.59/51.92 tff(22029,plain,
% 79.59/51.92 (node10(c_e_h_1, c_m, s15, s16) | node11(c_e_h_1, c_m, s15, s16)),
% 79.59/51.92 inference(unit_resolution,[status(thm)],[22028, 193, 21999])).
% 79.59/51.92 tff(22030,plain,
% 79.59/51.93 (node10(c_e_h_1, c_m, s15, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22029, 22025])).
% 79.59/51.93 tff(22031,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node10(c_e_h_1, c_m, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node10(c_e_h_1, c_m, s15, s16)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22032,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node10(c_e_h_1, c_m, s15, s16)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22033,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~node10(c_e_h_1, c_m, s15, s16))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 79.59/51.93 tff(22034,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22033, 252, 22008, 22030, 22017])).
% 79.59/51.93 tff(22035,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | node9(c_e_h_1, c_m, s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22036,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22035, 21964, 22016, 22008])).
% 79.59/51.93 tff(22037,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22038,plain,
% 79.59/51.93 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22037, 21902, 21901, 18685])).
% 79.59/51.93 tff(22039,assumption,(~node9(c_e_h_1, c_m, s16)), introduced(assumption)).
% 79.59/51.93 tff(22040,assumption,(node10(c_e_h_1, c_m, s16, s17)), introduced(assumption)).
% 79.59/51.93 tff(22041,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node10(c_e_h_1, c_m, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node10(c_e_h_1, c_m, s16, s17)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22042,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node10(c_e_h_1, c_m, s16, s17)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22043,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node10(c_e_h_1, c_m, s16, s17))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 79.59/51.93 tff(22044,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22043, 252, 22007, 22040, 22039])).
% 79.59/51.93 tff(22045,plain,((~node10(c_e_h_1, c_m, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | node9(c_e_h_1, c_m, s16)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22046,plain,
% 79.59/51.93 (~node10(c_e_h_1, c_m, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22045, 22007, 22039])).
% 79.59/51.93 tff(22047,plain,
% 79.59/51.93 (succ(s16, s17) <=> succ(s16, s17)),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22048,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 79.59/51.93 tff(22049,plain,
% 79.59/51.93 (succ(s16, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 79.59/51.93 tff(22050,plain,
% 79.59/51.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22051,plain,
% 79.59/51.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22052,plain,
% 79.59/51.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 79.59/51.93 tff(22053,plain,
% 79.59/51.93 (trans(s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22052, 22049, 176])).
% 79.59/51.93 tff(22054,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_1, c_m, s16, s17) | node11(c_e_h_1, c_m, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_1, c_m, s16, s17) | node11(c_e_h_1, c_m, s16, s17))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22055,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_1, c_m, s16, s17) | node11(c_e_h_1, c_m, s16, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22056,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_1, c_m, s16, s17) | node11(c_e_h_1, c_m, s16, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22055, 22054])).
% 79.59/51.93 tff(22057,plain,
% 79.59/51.93 (node10(c_e_h_1, c_m, s16, s17) | node11(c_e_h_1, c_m, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22056, 193, 22053])).
% 79.59/51.93 tff(22058,plain,
% 79.59/51.93 (node11(c_e_h_1, c_m, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22057, 22046])).
% 79.59/51.93 tff(22059,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)), introduced(assumption)).
% 79.59/51.93 tff(22060,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node11(c_e_h_1, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node11(c_e_h_1, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22061,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node11(c_e_h_1, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22062,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~node11(c_e_h_1, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22061, 22060])).
% 79.59/51.93 tff(22063,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22062, 282, 22007, 22059, 22058])).
% 79.59/51.93 tff(22064,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16) | node9(c_e_h_1, c_m, s16)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22065,plain,
% 79.59/51.93 (node9(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22064, 22038, 22007])).
% 79.59/51.93 tff(22066,plain,
% 79.59/51.93 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22067,plain,
% 79.59/51.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22068,plain,
% 79.59/51.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 79.59/51.93 tff(22069,plain,
% 79.59/51.93 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22068, 238, 22065])).
% 79.59/51.93 tff(22070,plain,
% 79.59/51.93 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22071,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22072,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22071, 22070])).
% 79.59/51.93 tff(22073,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22072, 3886, 22069, 22006])).
% 79.59/51.93 tff(22074,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22075,plain,
% 79.59/51.93 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22074, 21084, 18685, 21902, 21901])).
% 79.59/51.93 tff(22076,plain,
% 79.59/51.93 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22077,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22078,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 79.59/51.93 tff(22079,plain,
% 79.59/51.93 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22078, 7347, 22075])).
% 79.59/51.93 tff(22080,assumption,(until27(s11)), introduced(assumption)).
% 79.59/51.93 tff(22081,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s12)), introduced(assumption)).
% 79.59/51.93 tff(22082,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s11)), introduced(assumption)).
% 79.59/51.93 tff(22083,plain,
% 79.59/51.93 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22084,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22085,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22084, 22083])).
% 79.59/51.93 tff(22086,plain,
% 79.59/51.93 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22085, 3976])).
% 79.59/51.93 tff(22087,plain,
% 79.59/51.93 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22086, 22038])).
% 79.59/51.93 tff(22088,plain,
% 79.59/51.93 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22005, 21084, 21969, 21936])).
% 79.59/51.93 tff(22089,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)), introduced(assumption)).
% 79.59/51.93 tff(22090,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)), introduced(assumption)).
% 79.59/51.93 tff(22091,assumption,(node10(c_e_h_1, c_n, s16, s17)), introduced(assumption)).
% 79.59/51.93 tff(22092,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22093,plain,
% 79.59/51.93 (((~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22094,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16))))),
% 79.59/51.93 inference(monotonicity,[status(thm)],[22093])).
% 79.59/51.93 tff(22095,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(transitivity,[status(thm)],[22094, 22092])).
% 79.59/51.93 tff(22096,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22097,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | (~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 79.59/51.93 tff(22098,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22097, 160, 21745, 22090, 22089, 22091])).
% 79.59/51.93 tff(22099,plain,((~node10(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22100,plain,
% 79.59/51.93 (~node10(c_e_h_1, c_n, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22099, 22090, 22089, 21745])).
% 79.59/51.93 tff(22101,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_1, c_n, s16, s17) | node11(c_e_h_1, c_n, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_1, c_n, s16, s17) | node11(c_e_h_1, c_n, s16, s17))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22102,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_1, c_n, s16, s17) | node11(c_e_h_1, c_n, s16, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22103,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_1, c_n, s16, s17) | node11(c_e_h_1, c_n, s16, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 79.59/51.93 tff(22104,plain,
% 79.59/51.93 (node10(c_e_h_1, c_n, s16, s17) | node11(c_e_h_1, c_n, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22103, 193, 22053])).
% 79.59/51.93 tff(22105,plain,
% 79.59/51.93 (node11(c_e_h_1, c_n, s16, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22104, 22100])).
% 79.59/51.93 tff(22106,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)), introduced(assumption)).
% 79.59/51.93 tff(22107,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22108,plain,
% 79.59/51.93 ((m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~node11(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16))) <=> (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22109,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~node11(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17))))),
% 79.59/51.93 inference(monotonicity,[status(thm)],[22108])).
% 79.59/51.93 tff(22110,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~node11(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17)))),
% 79.59/51.93 inference(transitivity,[status(thm)],[22109, 22107])).
% 79.59/51.93 tff(22111,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~node11(c_e_h_1, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22112,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~node11(c_e_h_1, c_n, s16, s17))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22111, 22110])).
% 79.59/51.93 tff(22113,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22112, 208, 22090, 22106, 22105])).
% 79.59/51.93 tff(22114,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22115,plain,
% 79.59/51.93 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22114, 22088, 21745, 22087])).
% 79.59/51.93 tff(22116,plain,
% 79.59/51.93 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22117,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22118,plain,
% 79.59/51.93 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22117, 22116])).
% 79.59/51.93 tff(22119,plain,
% 79.59/51.93 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22118, 3886, 22115])).
% 79.59/51.93 tff(22120,assumption,(node9(c_e_h_1, c_m, s17)), introduced(assumption)).
% 79.59/51.93 tff(22121,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)), introduced(assumption)).
% 79.59/51.93 tff(22122,plain,
% 79.59/51.93 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22123,plain,
% 79.59/51.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_1, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22124,plain,
% 79.59/51.93 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_1, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22123, 22122])).
% 79.59/51.93 tff(22125,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22124, 238, 22121, 22120])).
% 79.59/51.93 tff(22126,plain,(m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17) | (~node9(c_e_h_1, c_m, s17))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22127,plain,
% 79.59/51.93 (~node9(c_e_h_1, c_m, s17)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22126, 22119])).
% 79.59/51.93 tff(22128,assumption,(~node9(c_e_h_1, c_m, s17)), introduced(assumption)).
% 79.59/51.93 tff(22129,assumption,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)), introduced(assumption)).
% 79.59/51.93 tff(22130,assumption,(node10(c_e_h_1, c_m, s17, s18)), introduced(assumption)).
% 79.59/51.93 tff(22131,plain,
% 79.59/51.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node10(c_e_h_1, c_m, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node10(c_e_h_1, c_m, s17, s18)))),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22132,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_1, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node10(c_e_h_1, c_m, s17, s18)))),
% 79.59/51.93 inference(quant_inst,[status(thm)],[])).
% 79.59/51.93 tff(22133,plain,
% 79.59/51.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_1, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node10(c_e_h_1, c_m, s17, s18))),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 79.59/51.93 tff(22134,plain,
% 79.59/51.93 ($false),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22133, 252, 22129, 22130, 22128])).
% 79.59/51.93 tff(22135,plain,((~node10(c_e_h_1, c_m, s17, s18)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | node9(c_e_h_1, c_m, s17)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.93 tff(22136,plain,
% 79.59/51.93 (~node10(c_e_h_1, c_m, s17, s18)),
% 79.59/51.93 inference(unit_resolution,[status(thm)],[22135, 22129, 22128])).
% 79.59/51.93 tff(22137,plain,
% 79.59/51.93 (succ(s17, s18) <=> succ(s17, s18)),
% 79.59/51.93 inference(rewrite,[status(thm)],[])).
% 79.59/51.93 tff(22138,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 79.59/51.93 tff(22139,plain,
% 79.59/51.93 (succ(s17, s18)),
% 79.59/51.93 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 79.59/51.93 tff(22140,plain,
% 79.59/51.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22141,plain,
% 79.59/51.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22142,plain,
% 79.59/51.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 79.59/51.94 tff(22143,plain,
% 79.59/51.94 (trans(s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22142, 22139, 176])).
% 79.59/51.94 tff(22144,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s17, s18)) | node10(c_e_h_1, c_m, s17, s18) | node11(c_e_h_1, c_m, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s17, s18)) | node10(c_e_h_1, c_m, s17, s18) | node11(c_e_h_1, c_m, s17, s18))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22145,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s17, s18)) | node10(c_e_h_1, c_m, s17, s18) | node11(c_e_h_1, c_m, s17, s18))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22146,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s17, s18)) | node10(c_e_h_1, c_m, s17, s18) | node11(c_e_h_1, c_m, s17, s18)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 79.59/51.94 tff(22147,plain,
% 79.59/51.94 (node10(c_e_h_1, c_m, s17, s18) | node11(c_e_h_1, c_m, s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22146, 193, 22143])).
% 79.59/51.94 tff(22148,plain,
% 79.59/51.94 (node11(c_e_h_1, c_m, s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22147, 22136])).
% 79.59/51.94 tff(22149,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)), introduced(assumption)).
% 79.59/51.94 tff(22150,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node11(c_e_h_1, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node11(c_e_h_1, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22151,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node11(c_e_h_1, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22152,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | (~node11(c_e_h_1, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22151, 22150])).
% 79.59/51.94 tff(22153,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22152, 282, 22129, 22149, 22148])).
% 79.59/51.94 tff(22154,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17) | node9(c_e_h_1, c_m, s17)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22155,plain,
% 79.59/51.94 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22154, 22127, 22075])).
% 79.59/51.94 tff(22156,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.59/51.94 tff(22157,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)), introduced(assumption)).
% 79.59/51.94 tff(22158,plain,
% 79.59/51.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22159,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22160,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22159, 22158])).
% 79.59/51.94 tff(22161,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22160, 7347, 22157, 22156])).
% 79.59/51.94 tff(22162,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22163,plain,
% 79.59/51.94 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22162, 22155])).
% 79.59/51.94 tff(22164,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.59/51.94 tff(22165,assumption,(node20(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.59/51.94 tff(22166,plain,
% 79.59/51.94 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s18))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s18))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22167,plain,
% 79.59/51.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s18))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22168,plain,
% 79.59/51.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22167, 22166])).
% 79.59/51.94 tff(22169,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22168, 334, 22165, 22164])).
% 79.59/51.94 tff(22170,plain,((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22171,plain,
% 79.59/51.94 (~node20(c_e_h_1, c_r, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22170, 22163])).
% 79.59/51.94 tff(22172,assumption,(~node20(c_e_h_1, c_r, s17)), introduced(assumption)).
% 79.59/51.94 tff(22173,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s17)), introduced(assumption)).
% 79.59/51.94 tff(22174,assumption,(node21(c_e_h_1, c_r, s16, s17)), introduced(assumption)).
% 79.59/51.94 tff(22175,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node21(c_e_h_1, c_r, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node21(c_e_h_1, c_r, s16, s17)))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22176,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node21(c_e_h_1, c_r, s16, s17)))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22177,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node21(c_e_h_1, c_r, s16, s17))),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22176, 22175])).
% 79.59/51.94 tff(22178,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22177, 348, 22174, 21744, 22173])).
% 79.59/51.94 tff(22179,plain,((~node21(c_e_h_1, c_r, s16, s17)) | node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22180,plain,
% 79.59/51.94 (~node21(c_e_h_1, c_r, s16, s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22179, 22173, 21744])).
% 79.59/51.94 tff(22181,assumption,(node22(c_e_h_1, c_r, s16, s17)), introduced(assumption)).
% 79.59/51.94 tff(22182,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node22(c_e_h_1, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node22(c_e_h_1, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22183,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node22(c_e_h_1, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22184,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~node22(c_e_h_1, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22183, 22182])).
% 79.59/51.94 tff(22185,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22184, 437, 22181, 22173, 18713])).
% 79.59/51.94 tff(22186,plain,((~node22(c_e_h_1, c_r, s16, s17)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22187,plain,
% 79.59/51.94 (~node22(c_e_h_1, c_r, s16, s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22186, 22173, 18713])).
% 79.59/51.94 tff(22188,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_r, s16, s17) | node22(c_e_h_1, c_r, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_r, s16, s17) | node22(c_e_h_1, c_r, s16, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22189,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_r, s16, s17) | node22(c_e_h_1, c_r, s16, s17))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22190,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_r, s16, s17) | node22(c_e_h_1, c_r, s16, s17)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22189, 22188])).
% 79.59/51.94 tff(22191,plain,
% 79.59/51.94 (node21(c_e_h_1, c_r, s16, s17) | node22(c_e_h_1, c_r, s16, s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22190, 383, 22053])).
% 79.59/51.94 tff(22192,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22191, 22187, 22180])).
% 79.59/51.94 tff(22193,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node20(c_e_h_1, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22194,plain,
% 79.59/51.94 (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22193, 18713, 21744])).
% 79.59/51.94 tff(22195,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s17)), introduced(assumption)).
% 79.59/51.94 tff(22196,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.59/51.94 tff(22197,assumption,(node22(c_e_h_1, c_r, s17, s18)), introduced(assumption)).
% 79.59/51.94 tff(22198,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node22(c_e_h_1, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node22(c_e_h_1, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22199,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node22(c_e_h_1, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22200,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node22(c_e_h_1, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 79.59/51.94 tff(22201,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22200, 437, 22197, 22195, 22196])).
% 79.59/51.94 tff(22202,plain,((~node22(c_e_h_1, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22203,plain,
% 79.59/51.94 (~node22(c_e_h_1, c_r, s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22202, 22196, 22195])).
% 79.59/51.94 tff(22204,assumption,(node21(c_e_h_1, c_r, s17, s18)), introduced(assumption)).
% 79.59/51.94 tff(22205,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18)))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22206,plain,
% 79.59/51.94 ((node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node21(c_e_h_1, c_r, s17, s18))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18)))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22207,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node21(c_e_h_1, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18))))),
% 79.59/51.94 inference(monotonicity,[status(thm)],[22206])).
% 79.59/51.94 tff(22208,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node21(c_e_h_1, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18)))),
% 79.59/51.94 inference(transitivity,[status(thm)],[22207, 22205])).
% 79.59/51.94 tff(22209,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | (~node21(c_e_h_1, c_r, s17, s18)))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22210,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | (~node21(c_e_h_1, c_r, s17, s18))),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22209, 22208])).
% 79.59/51.94 tff(22211,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22210, 348, 22204, 22196, 22172])).
% 79.59/51.94 tff(22212,plain,((~node21(c_e_h_1, c_r, s17, s18)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22213,plain,
% 79.59/51.94 (~node21(c_e_h_1, c_r, s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22212, 22196, 22172])).
% 79.59/51.94 tff(22214,plain,
% 79.59/51.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s17, s18)) | node21(c_e_h_1, c_r, s17, s18) | node22(c_e_h_1, c_r, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s17, s18)) | node21(c_e_h_1, c_r, s17, s18) | node22(c_e_h_1, c_r, s17, s18))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22215,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s17, s18)) | node21(c_e_h_1, c_r, s17, s18) | node22(c_e_h_1, c_r, s17, s18))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22216,plain,
% 79.59/51.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s17, s18)) | node21(c_e_h_1, c_r, s17, s18) | node22(c_e_h_1, c_r, s17, s18)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 79.59/51.94 tff(22217,plain,
% 79.59/51.94 (node21(c_e_h_1, c_r, s17, s18) | node22(c_e_h_1, c_r, s17, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22216, 383, 22143])).
% 79.59/51.94 tff(22218,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22217, 22213, 22203])).
% 79.59/51.94 tff(22219,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s18)) | node20(c_e_h_1, c_r, s17) | m_and_h_gate_v_out(c_e_h_1, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22220,plain,
% 79.59/51.94 (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22219, 22194, 22172])).
% 79.59/51.94 tff(22221,assumption,(~node20(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.59/51.94 tff(22222,assumption,(m_user_v_ack(c_e_h_1, c_u, s16)), introduced(assumption)).
% 79.59/51.94 tff(22223,plain,
% 79.59/51.94 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22224,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22225,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 79.59/51.94 tff(22226,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22225, 7367, 22222, 18713])).
% 79.59/51.94 tff(22227,plain,((~m_user_v_ack(c_e_h_1, c_u, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22228,plain,
% 79.59/51.94 (~m_user_v_ack(c_e_h_1, c_u, s16)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22227, 18713])).
% 79.59/51.94 tff(22229,plain,
% 79.59/51.94 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s16) | (~node24(s16)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s16) | (~node24(s16)))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22230,plain,
% 79.59/51.94 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s16) | (~node24(s16)))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22231,plain,
% 79.59/51.94 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s16) | (~node24(s16))),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22230, 22229])).
% 79.59/51.94 tff(22232,plain,
% 79.59/51.94 (~node24(s16)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22231, 9500, 22228])).
% 79.59/51.94 tff(22233,assumption,(m_user_v_ack(c_e_h_1, c_u, s17)), introduced(assumption)).
% 79.59/51.94 tff(22234,plain,
% 79.59/51.94 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22235,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22236,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 79.59/51.94 tff(22237,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22236, 7367, 22233, 22195])).
% 79.59/51.94 tff(22238,plain,((~m_user_v_ack(c_e_h_1, c_u, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22239,plain,
% 79.59/51.94 (~m_user_v_ack(c_e_h_1, c_u, s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22238, 22194])).
% 79.59/51.94 tff(22240,plain,
% 79.59/51.94 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22241,plain,
% 79.59/51.94 ((m_user_v_ack(c_e_h_1, c_u, s17) | (~node24(s17))) <=> ((~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22242,plain,
% 79.59/51.94 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s17) | (~node24(s17)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17)))),
% 79.59/51.94 inference(monotonicity,[status(thm)],[22241])).
% 79.59/51.94 tff(22243,plain,
% 79.59/51.94 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s17) | (~node24(s17)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17))),
% 79.59/51.94 inference(transitivity,[status(thm)],[22242, 22240])).
% 79.59/51.94 tff(22244,plain,
% 79.59/51.94 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s17) | (~node24(s17)))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22245,plain,
% 79.59/51.94 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s17)) | m_user_v_ack(c_e_h_1, c_u, s17)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22244, 22243])).
% 79.59/51.94 tff(22246,plain,
% 79.59/51.94 (~node24(s17)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22245, 9500, 22239])).
% 79.59/51.94 tff(22247,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.59/51.94 tff(22248,plain,
% 79.59/51.94 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))),
% 79.59/51.94 inference(rewrite,[status(thm)],[])).
% 79.59/51.94 tff(22249,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))),
% 79.59/51.94 inference(quant_inst,[status(thm)],[])).
% 79.59/51.94 tff(22250,plain,
% 79.59/51.94 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12)),
% 79.59/51.94 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 79.59/51.94 tff(22251,plain,
% 79.59/51.94 ($false),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22250, 4785, 22247, 22081])).
% 79.59/51.94 tff(22252,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.94 tff(22253,plain,
% 79.59/51.94 (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.59/51.94 inference(unit_resolution,[status(thm)],[22252, 22081])).
% 79.59/51.94 tff(22254,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.59/51.94 tff(22255,plain,
% 79.59/51.95 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))),
% 79.59/51.95 inference(rewrite,[status(thm)],[])).
% 79.59/51.95 tff(22256,plain,
% 79.59/51.95 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10))),
% 79.59/51.95 inference(quant_inst,[status(thm)],[])).
% 79.59/51.95 tff(22257,plain,
% 79.59/51.95 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10)),
% 79.59/51.95 inference(modus_ponens,[status(thm)],[22256, 22255])).
% 79.59/51.95 tff(22258,plain,
% 79.59/51.95 ($false),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22257, 4785, 21861, 22254])).
% 79.59/51.95 tff(22259,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | m_and_h_gate_v_out(c_e_h_2, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.95 tff(22260,plain,
% 79.59/51.95 (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22259, 21821])).
% 79.59/51.95 tff(22261,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.59/51.95 tff(22262,plain,
% 79.59/51.95 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))),
% 79.59/51.95 inference(rewrite,[status(thm)],[])).
% 79.59/51.95 tff(22263,plain,
% 79.59/51.95 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9))),
% 79.59/51.95 inference(quant_inst,[status(thm)],[])).
% 79.59/51.95 tff(22264,plain,
% 79.59/51.95 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9)),
% 79.59/51.95 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 79.59/51.95 tff(22265,plain,
% 79.59/51.95 ($false),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22264, 4785, 21794, 22261])).
% 79.59/51.95 tff(22266,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | m_and_h_gate_v_out(c_e_h_2, c_i, s9)), inference(lemma,lemma(discharge,[]))).
% 79.59/51.95 tff(22267,plain,
% 79.59/51.95 (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22266, 21793])).
% 79.59/51.95 tff(22268,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.59/51.95 tff(22269,assumption,(node18(c_e_h_2, c_e, s9, s10)), introduced(assumption)).
% 79.59/51.95 tff(22270,plain,
% 79.59/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.59/51.95 inference(rewrite,[status(thm)],[])).
% 79.59/51.95 tff(22271,plain,
% 79.59/51.95 (((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.59/51.95 inference(rewrite,[status(thm)],[])).
% 79.59/51.95 tff(22272,plain,
% 79.59/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))))),
% 79.59/51.95 inference(monotonicity,[status(thm)],[22271])).
% 79.59/51.95 tff(22273,plain,
% 79.59/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.59/51.95 inference(transitivity,[status(thm)],[22272, 22270])).
% 79.59/51.95 tff(22274,plain,
% 79.59/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)))),
% 79.59/51.95 inference(quant_inst,[status(thm)],[])).
% 79.59/51.95 tff(22275,plain,
% 79.59/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~node18(c_e_h_2, c_e, s9, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.59/51.95 inference(modus_ponens,[status(thm)],[22274, 22273])).
% 79.59/51.95 tff(22276,plain,
% 79.59/51.95 ($false),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22275, 481, 22269, 20423, 22268])).
% 79.59/51.95 tff(22277,plain,((~node18(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.95 tff(22278,plain,
% 79.59/51.95 (~node18(c_e_h_2, c_e, s9, s10)),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22277, 22268, 20423])).
% 79.59/51.95 tff(22279,plain,
% 79.59/51.95 (~node18(c_e_h_2, c_e, s9, s10)),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22277, 20423, 22268])).
% 79.59/51.95 tff(22280,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.59/51.95 tff(22281,assumption,(node15(c_e_h_2, c_e, s9, s10)), introduced(assumption)).
% 79.59/51.95 tff(22282,plain,
% 79.59/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node15(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node15(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9))),
% 79.59/51.95 inference(rewrite,[status(thm)],[])).
% 79.59/51.95 tff(22283,plain,
% 79.59/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node15(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9))),
% 79.59/51.95 inference(quant_inst,[status(thm)],[])).
% 79.59/51.95 tff(22284,plain,
% 79.59/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node15(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9)),
% 79.59/51.95 inference(modus_ponens,[status(thm)],[22283, 22282])).
% 79.59/51.95 tff(22285,plain,
% 79.59/51.95 ($false),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22284, 612, 22281, 20423, 22268])).
% 79.59/51.95 tff(22286,plain,((~node15(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))), inference(lemma,lemma(discharge,[]))).
% 79.59/51.95 tff(22287,plain,
% 79.59/51.95 (~node15(c_e_h_2, c_e, s9, s10)),
% 79.59/51.95 inference(unit_resolution,[status(thm)],[22286, 20423, 22268])).
% 79.59/51.95 tff(22288,assumption,(~node15(c_e_h_2, c_e, s9, s10)), introduced(assumption)).
% 79.59/51.95 tff(22289,assumption,(node17(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.59/51.95 tff(22290,plain,
% 79.59/51.95 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | (~node17(c_e_h_2, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | (~node17(c_e_h_2, c_e, s9)))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22291,plain,
% 79.69/51.95 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | (~node17(c_e_h_2, c_e, s9)))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22292,plain,
% 79.69/51.95 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)) | (~node17(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 79.69/51.95 tff(22293,plain,
% 79.69/51.95 (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22292, 1172, 22289])).
% 79.69/51.95 tff(22294,plain,
% 79.69/51.95 (~m_c_h_element_v_in2(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22293, 22280])).
% 79.69/51.95 tff(22295,plain,
% 79.69/51.95 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22296,plain,
% 79.69/51.95 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22297,plain,
% 79.69/51.95 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s9)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22296, 22295])).
% 79.69/51.95 tff(22298,plain,
% 79.69/51.95 (~node16(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22297, 559, 22280, 22294])).
% 79.69/51.95 tff(22299,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_2, c_e, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22300,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22301,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_2, c_e, s9, s10)),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22300, 22299])).
% 79.69/51.95 tff(22302,plain,
% 79.69/51.95 (node19(c_e_h_2, c_e, s9, s10)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22301, 494, 6039])).
% 79.69/51.95 tff(22303,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22304,plain,
% 79.69/51.95 ((node16(c_e_h_2, c_e, s9) | node14(c_e_h_2, c_e, s9, s10) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10))) <=> (node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22305,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s9) | node14(c_e_h_2, c_e, s9, s10) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(monotonicity,[status(thm)],[22304])).
% 79.69/51.95 tff(22306,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s9) | node14(c_e_h_2, c_e, s9, s10) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(transitivity,[status(thm)],[22305, 22303])).
% 79.69/51.95 tff(22307,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s9) | node14(c_e_h_2, c_e, s9, s10) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22308,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node14(c_e_h_2, c_e, s9, s10)),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 79.69/51.95 tff(22309,plain,
% 79.69/51.95 (node16(c_e_h_2, c_e, s9) | node15(c_e_h_2, c_e, s9, s10) | node14(c_e_h_2, c_e, s9, s10)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22308, 594, 22302])).
% 79.69/51.95 tff(22310,plain,
% 79.69/51.95 (node14(c_e_h_2, c_e, s9, s10)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22309, 22298, 22288])).
% 79.69/51.95 tff(22311,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22312,plain,
% 79.69/51.95 (((~node14(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))) <=> (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22313,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10))))),
% 79.69/51.95 inference(monotonicity,[status(thm)],[22312])).
% 79.69/51.95 tff(22314,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(transitivity,[status(thm)],[22313, 22311])).
% 79.69/51.95 tff(22315,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s9, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22316,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | (~node14(c_e_h_2, c_e, s9, s10))),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22315, 22314])).
% 79.69/51.95 tff(22317,plain,
% 79.69/51.95 ($false),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22316, 575, 22310, 22268, 22280])).
% 79.69/51.95 tff(22318,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | node15(c_e_h_2, c_e, s9, s10) | (~node17(c_e_h_2, c_e, s9))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.95 tff(22319,plain,
% 79.69/51.95 (~node17(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22318, 22287, 22268, 22280])).
% 79.69/51.95 tff(22320,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22321,plain,
% 79.69/51.95 ((node17(c_e_h_2, c_e, s9) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10))) <=> (node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(rewrite,[status(thm)],[])).
% 79.69/51.95 tff(22322,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s9) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9)))),
% 79.69/51.95 inference(monotonicity,[status(thm)],[22321])).
% 79.69/51.95 tff(22323,plain,
% 79.69/51.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s9) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9))),
% 79.69/51.95 inference(transitivity,[status(thm)],[22322, 22320])).
% 79.69/51.95 tff(22324,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s9) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)))),
% 79.69/51.95 inference(quant_inst,[status(thm)],[])).
% 79.69/51.95 tff(22325,plain,
% 79.69/51.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s9, s10) | (~node19(c_e_h_2, c_e, s9, s10)) | node17(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 79.69/51.95 tff(22326,plain,
% 79.69/51.95 (node18(c_e_h_2, c_e, s9, s10) | node17(c_e_h_2, c_e, s9)),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22325, 508, 22302])).
% 79.69/51.95 tff(22327,plain,
% 79.69/51.95 ($false),
% 79.69/51.95 inference(unit_resolution,[status(thm)],[22326, 22319, 22279])).
% 79.69/51.95 tff(22328,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s9) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22329,plain,
% 79.69/51.96 (m_c_h_element_v_in1(c_e_h_2, c_e, s9)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22328, 22268, 20423])).
% 79.69/51.96 tff(22330,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s9)), introduced(assumption)).
% 79.69/51.96 tff(22331,plain,
% 79.69/51.96 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22332,plain,
% 79.69/51.96 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s9)) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22333,plain,
% 79.69/51.96 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s9)) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9))))),
% 79.69/51.96 inference(monotonicity,[status(thm)],[22332])).
% 79.69/51.96 tff(22334,plain,
% 79.69/51.96 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s9)) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9)))),
% 79.69/51.96 inference(transitivity,[status(thm)],[22333, 22331])).
% 79.69/51.96 tff(22335,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s9)) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22336,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | (~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9))),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 79.69/51.96 tff(22337,plain,
% 79.69/51.96 ((~node17(c_e_h_2, c_e, s9)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s9))),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22336, 541, 22330])).
% 79.69/51.96 tff(22338,plain,
% 79.69/51.96 (~node17(c_e_h_2, c_e, s9)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22337, 22329])).
% 79.69/51.96 tff(22339,plain,
% 79.69/51.96 ($false),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22326, 22338, 22278])).
% 79.69/51.96 tff(22340,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s10)) | m_c_h_element_v_in2(c_e_h_2, c_e, s9) | m_c_h_element_v_out(c_e_h_2, c_e, s9)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22341,plain,
% 79.69/51.96 (~m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22340, 20422, 22267])).
% 79.69/51.96 tff(22342,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.69/51.96 tff(22343,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s11)), introduced(assumption)).
% 79.69/51.96 tff(22344,assumption,(node18(c_e_h_2, c_e, s10, s11)), introduced(assumption)).
% 79.69/51.96 tff(22345,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22346,plain,
% 79.69/51.96 (((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~node18(c_e_h_2, c_e, s10, s11))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22347,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~node18(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11))))),
% 79.69/51.96 inference(monotonicity,[status(thm)],[22346])).
% 79.69/51.96 tff(22348,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~node18(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(transitivity,[status(thm)],[22347, 22345])).
% 79.69/51.96 tff(22349,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~node18(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22350,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node18(c_e_h_2, c_e, s10, s11))),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 79.69/51.96 tff(22351,plain,
% 79.69/51.96 ($false),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22350, 481, 22343, 22344, 22342])).
% 79.69/51.96 tff(22352,plain,((~node18(c_e_h_2, c_e, s10, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22353,plain,
% 79.69/51.96 (~node18(c_e_h_2, c_e, s10, s11)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22352, 22343, 22342])).
% 79.69/51.96 tff(22354,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.69/51.96 tff(22355,assumption,(node15(c_e_h_2, c_e, s10, s11)), introduced(assumption)).
% 79.69/51.96 tff(22356,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node15(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node15(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22357,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node15(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22358,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | (~node15(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 79.69/51.96 tff(22359,plain,
% 79.69/51.96 ($false),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22358, 612, 22343, 22355, 22342])).
% 79.69/51.96 tff(22360,plain,((~node15(c_e_h_2, c_e, s10, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22361,plain,
% 79.69/51.96 (~node15(c_e_h_2, c_e, s10, s11)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22360, 22343, 22342])).
% 79.69/51.96 tff(22362,assumption,(~node15(c_e_h_2, c_e, s10, s11)), introduced(assumption)).
% 79.69/51.96 tff(22363,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.69/51.96 tff(22364,plain,
% 79.69/51.96 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22365,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22366,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22365, 22364])).
% 79.69/51.96 tff(22367,plain,
% 79.69/51.96 ((~node16(c_e_h_2, c_e, s10)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22366, 559, 22363])).
% 79.69/51.96 tff(22368,plain,
% 79.69/51.96 (~node16(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22367, 22354])).
% 79.69/51.96 tff(22369,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_2, c_e, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_2, c_e, s10, s11))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22370,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_2, c_e, s10, s11))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22371,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_2, c_e, s10, s11)),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 79.69/51.96 tff(22372,plain,
% 79.69/51.96 (node19(c_e_h_2, c_e, s10, s11)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22371, 494, 8015])).
% 79.69/51.96 tff(22373,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22374,plain,
% 79.69/51.96 ((node16(c_e_h_2, c_e, s10) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11))) <=> (node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22375,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s10) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10)))),
% 79.69/51.96 inference(monotonicity,[status(thm)],[22374])).
% 79.69/51.96 tff(22376,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s10) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(transitivity,[status(thm)],[22375, 22373])).
% 79.69/51.96 tff(22377,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s10) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22378,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)) | node16(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 79.69/51.96 tff(22379,plain,
% 79.69/51.96 (node14(c_e_h_2, c_e, s10, s11) | node15(c_e_h_2, c_e, s10, s11) | node16(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22378, 594, 22372])).
% 79.69/51.96 tff(22380,plain,
% 79.69/51.96 (node14(c_e_h_2, c_e, s10, s11)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22379, 22368, 22362])).
% 79.69/51.96 tff(22381,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22382,plain,
% 79.69/51.96 (((~node14(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22383,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11))))),
% 79.69/51.96 inference(monotonicity,[status(thm)],[22382])).
% 79.69/51.96 tff(22384,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.96 inference(transitivity,[status(thm)],[22383, 22381])).
% 79.69/51.96 tff(22385,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s10, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22386,plain,
% 79.69/51.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node14(c_e_h_2, c_e, s10, s11))),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 79.69/51.96 tff(22387,plain,
% 79.69/51.96 ($false),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22386, 575, 22343, 22380, 22354])).
% 79.69/51.96 tff(22388,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | node15(c_e_h_2, c_e, s10, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22389,plain,
% 79.69/51.96 (m_c_h_element_v_in2(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22388, 22354, 22362, 22343])).
% 79.69/51.96 tff(22390,assumption,(node17(c_e_h_2, c_e, s10)), introduced(assumption)).
% 79.69/51.96 tff(22391,plain,
% 79.69/51.96 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22392,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.96 inference(quant_inst,[status(thm)],[])).
% 79.69/51.96 tff(22393,plain,
% 79.69/51.96 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 79.69/51.96 tff(22394,plain,
% 79.69/51.96 (m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22393, 1172, 22390])).
% 79.69/51.96 tff(22395,plain,
% 79.69/51.96 ($false),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22394, 22389, 22354])).
% 79.69/51.96 tff(22396,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s10) | (~node17(c_e_h_2, c_e, s10)) | node15(c_e_h_2, c_e, s10, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.96 tff(22397,plain,
% 79.69/51.96 (~node17(c_e_h_2, c_e, s10)),
% 79.69/51.96 inference(unit_resolution,[status(thm)],[22396, 22361, 22354, 22343])).
% 79.69/51.96 tff(22398,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22399,plain,
% 79.69/51.96 ((node17(c_e_h_2, c_e, s10) | node18(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11))) <=> ((~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10))),
% 79.69/51.96 inference(rewrite,[status(thm)],[])).
% 79.69/51.96 tff(22400,plain,
% 79.69/51.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s10) | node18(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10)))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22399])).
% 79.69/51.97 tff(22401,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s10) | node18(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22400, 22398])).
% 79.69/51.97 tff(22402,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s10) | node18(c_e_h_2, c_e, s10, s11) | (~node19(c_e_h_2, c_e, s10, s11)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22403,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s10, s11)) | node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 79.69/51.97 tff(22404,plain,
% 79.69/51.97 (node18(c_e_h_2, c_e, s10, s11) | node17(c_e_h_2, c_e, s10)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22403, 508, 22372])).
% 79.69/51.97 tff(22405,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22404, 22397, 22353])).
% 79.69/51.97 tff(22406,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22407,plain,
% 79.69/51.97 (m_c_h_element_v_in1(c_e_h_2, c_e, s10)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22406, 22343, 22342])).
% 79.69/51.97 tff(22408,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22409,plain,
% 79.69/51.97 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~node17(c_e_h_2, c_e, s10))) <=> (m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22410,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~node17(c_e_h_2, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10))))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22409])).
% 79.69/51.97 tff(22411,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~node17(c_e_h_2, c_e, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22410, 22408])).
% 79.69/51.97 tff(22412,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~node17(c_e_h_2, c_e, s10)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22413,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10))),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 79.69/51.97 tff(22414,plain,
% 79.69/51.97 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s10)) | (~node17(c_e_h_2, c_e, s10))),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22413, 541, 22363])).
% 79.69/51.97 tff(22415,plain,
% 79.69/51.97 (~node17(c_e_h_2, c_e, s10)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22414, 22407])).
% 79.69/51.97 tff(22416,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22404, 22415, 22353])).
% 79.69/51.97 tff(22417,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22418,plain,
% 79.69/51.97 ((~m_c_h_element_v_out(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22417, 22341])).
% 79.69/51.97 tff(22419,plain,
% 79.69/51.97 (~m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22418, 22260])).
% 79.69/51.97 tff(22420,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s11)), introduced(assumption)).
% 79.69/51.97 tff(22421,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.69/51.97 tff(22422,assumption,(node18(c_e_h_2, c_e, s11, s12)), introduced(assumption)).
% 79.69/51.97 tff(22423,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~node18(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~node18(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22424,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~node18(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22425,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~node18(c_e_h_2, c_e, s11, s12))),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 79.69/51.97 tff(22426,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22425, 481, 22420, 22421, 22422])).
% 79.69/51.97 tff(22427,plain,((~node18(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22428,plain,
% 79.69/51.97 (~node18(c_e_h_2, c_e, s11, s12)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22427, 22421, 22420])).
% 79.69/51.97 tff(22429,assumption,(node15(c_e_h_2, c_e, s11, s12)), introduced(assumption)).
% 79.69/51.97 tff(22430,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | (~node15(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | (~node15(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22431,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | (~node15(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22432,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | (~node15(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22431, 22430])).
% 79.69/51.97 tff(22433,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22432, 612, 22420, 22421, 22429])).
% 79.69/51.97 tff(22434,plain,((~node15(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22435,plain,
% 79.69/51.97 (~node15(c_e_h_2, c_e, s11, s12)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22434, 22421, 22420])).
% 79.69/51.97 tff(22436,assumption,(node17(c_e_h_2, c_e, s11)), introduced(assumption)).
% 79.69/51.97 tff(22437,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22438,plain,
% 79.69/51.97 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | (~node17(c_e_h_2, c_e, s11))) <=> ((~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22439,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | (~node17(c_e_h_2, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22438])).
% 79.69/51.97 tff(22440,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | (~node17(c_e_h_2, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22439, 22437])).
% 79.69/51.97 tff(22441,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | (~node17(c_e_h_2, c_e, s11)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22442,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22441, 22440])).
% 79.69/51.97 tff(22443,plain,
% 79.69/51.97 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22442, 541, 22436])).
% 79.69/51.97 tff(22444,plain,
% 79.69/51.97 (~m_c_h_element_v_in1(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22443, 22082])).
% 79.69/51.97 tff(22445,assumption,(~node15(c_e_h_2, c_e, s11, s12)), introduced(assumption)).
% 79.69/51.97 tff(22446,plain,
% 79.69/51.97 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22447,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22448,plain,
% 79.69/51.97 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s11)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 79.69/51.97 tff(22449,plain,
% 79.69/51.97 (~node16(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22448, 559, 22444, 22082])).
% 79.69/51.97 tff(22450,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_2, c_e, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_2, c_e, s11, s12))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22451,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_2, c_e, s11, s12))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22452,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_2, c_e, s11, s12)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 79.69/51.97 tff(22453,plain,
% 79.69/51.97 (node19(c_e_h_2, c_e, s11, s12)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22452, 494, 8210])).
% 79.69/51.97 tff(22454,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22455,plain,
% 79.69/51.97 ((node16(c_e_h_2, c_e, s11) | node14(c_e_h_2, c_e, s11, s12) | node15(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12))) <=> (node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22456,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s11) | node14(c_e_h_2, c_e, s11, s12) | node15(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11)))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22455])).
% 79.69/51.97 tff(22457,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s11) | node14(c_e_h_2, c_e, s11, s12) | node15(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22456, 22454])).
% 79.69/51.97 tff(22458,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s11) | node14(c_e_h_2, c_e, s11, s12) | node15(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22459,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 79.69/51.97 tff(22460,plain,
% 79.69/51.97 (node14(c_e_h_2, c_e, s11, s12) | node15(c_e_h_2, c_e, s11, s12) | node16(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22459, 594, 22453])).
% 79.69/51.97 tff(22461,plain,
% 79.69/51.97 (node14(c_e_h_2, c_e, s11, s12)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22460, 22449, 22445])).
% 79.69/51.97 tff(22462,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22463,plain,
% 79.69/51.97 (((~node14(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22464,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12))))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22463])).
% 79.69/51.97 tff(22465,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22464, 22462])).
% 79.69/51.97 tff(22466,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s11, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22467,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s11) | (~node14(c_e_h_2, c_e, s11, s12))),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22466, 22465])).
% 79.69/51.97 tff(22468,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22467, 575, 22421, 22461, 22444])).
% 79.69/51.97 tff(22469,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s11) | (~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | node15(c_e_h_2, c_e, s11, s12) | (~node17(c_e_h_2, c_e, s11))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22470,plain,
% 79.69/51.97 (~node17(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22469, 22435, 22421, 22082])).
% 79.69/51.97 tff(22471,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22472,plain,
% 79.69/51.97 ((node17(c_e_h_2, c_e, s11) | node18(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12))) <=> ((~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22473,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s11) | node18(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11)))),
% 79.69/51.97 inference(monotonicity,[status(thm)],[22472])).
% 79.69/51.97 tff(22474,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s11) | node18(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11))),
% 79.69/51.97 inference(transitivity,[status(thm)],[22473, 22471])).
% 79.69/51.97 tff(22475,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s11) | node18(c_e_h_2, c_e, s11, s12) | (~node19(c_e_h_2, c_e, s11, s12)))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.97 tff(22476,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s11, s12)) | node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 79.69/51.97 tff(22477,plain,
% 79.69/51.97 (node18(c_e_h_2, c_e, s11, s12) | node17(c_e_h_2, c_e, s11)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22476, 508, 22453])).
% 79.69/51.97 tff(22478,plain,
% 79.69/51.97 ($false),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22477, 22470, 22428])).
% 79.69/51.97 tff(22479,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.97 tff(22480,plain,
% 79.69/51.97 (~m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.69/51.97 inference(unit_resolution,[status(thm)],[22479, 22082, 22419])).
% 79.69/51.97 tff(22481,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.69/51.97 tff(22482,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.69/51.97 tff(22483,assumption,(node15(c_e_h_2, c_e, s12, s13)), introduced(assumption)).
% 79.69/51.97 tff(22484,plain,
% 79.69/51.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node15(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node15(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.97 inference(rewrite,[status(thm)],[])).
% 79.69/51.97 tff(22485,plain,
% 79.69/51.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node15(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.97 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22486,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node15(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22485, 22484])).
% 79.69/51.98 tff(22487,plain,
% 79.69/51.98 ($false),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22486, 612, 22482, 22481, 22483])).
% 79.69/51.98 tff(22488,plain,((~node15(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.98 tff(22489,plain,
% 79.69/51.98 (~node15(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22488, 22482, 22481])).
% 79.69/51.98 tff(22490,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.69/51.98 tff(22491,assumption,(node17(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.69/51.98 tff(22492,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22493,plain,
% 79.69/51.98 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12) | (~node17(c_e_h_2, c_e, s12))) <=> ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22494,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12) | (~node17(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22493])).
% 79.69/51.98 tff(22495,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12) | (~node17(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(transitivity,[status(thm)],[22494, 22492])).
% 79.69/51.98 tff(22496,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12) | (~node17(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22497,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 79.69/51.98 tff(22498,plain,
% 79.69/51.98 (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22497, 541, 22491, 22490])).
% 79.69/51.98 tff(22499,assumption,(~node15(c_e_h_2, c_e, s12, s13)), introduced(assumption)).
% 79.69/51.98 tff(22500,assumption,(node16(c_e_h_2, c_e, s12)), introduced(assumption)).
% 79.69/51.98 tff(22501,plain,
% 79.69/51.98 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22497, 541, 22491])).
% 79.69/51.98 tff(22502,plain,
% 79.69/51.98 (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22501, 22490])).
% 79.69/51.98 tff(22503,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22504,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22505,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22504, 22503])).
% 79.69/51.98 tff(22506,plain,
% 79.69/51.98 (m_c_h_element_v_in1(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22505, 559, 22500])).
% 79.69/51.98 tff(22507,plain,
% 79.69/51.98 ($false),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22506, 22502, 22490])).
% 79.69/51.98 tff(22508,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s12) | (~node16(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.98 tff(22509,plain,
% 79.69/51.98 (m_c_h_element_v_in2(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22508, 22500, 22491])).
% 79.69/51.98 tff(22510,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22511,plain,
% 79.69/51.98 ((m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12))) <=> ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22512,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22511])).
% 79.69/51.98 tff(22513,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(transitivity,[status(thm)],[22512, 22510])).
% 79.69/51.98 tff(22514,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22515,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 79.69/51.98 tff(22516,plain,
% 79.69/51.98 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22515, 1172, 22491])).
% 79.69/51.98 tff(22517,plain,
% 79.69/51.98 (m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22516, 22509])).
% 79.69/51.98 tff(22518,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22519,plain,
% 79.69/51.98 (((~node16(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22520,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12))))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22519])).
% 79.69/51.98 tff(22521,plain,
% 79.69/51.98 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(transitivity,[status(thm)],[22520, 22518])).
% 79.69/51.98 tff(22522,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22523,plain,
% 79.69/51.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12)) | (~node16(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 79.69/51.98 tff(22524,plain,
% 79.69/51.98 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22523, 1192, 22500])).
% 79.69/51.98 tff(22525,plain,
% 79.69/51.98 ($false),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22524, 22517, 22509])).
% 79.69/51.98 tff(22526,plain,((~node16(c_e_h_2, c_e, s12)) | (~node17(c_e_h_2, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 79.69/51.98 tff(22527,plain,
% 79.69/51.98 (~node16(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22526, 22491])).
% 79.69/51.98 tff(22528,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_2, c_e, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_2, c_e, s12, s13))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22529,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_2, c_e, s12, s13))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22530,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 79.69/51.98 tff(22531,plain,
% 79.69/51.98 (node19(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22530, 494, 8278])).
% 79.69/51.98 tff(22532,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22533,plain,
% 79.69/51.98 ((node16(c_e_h_2, c_e, s12) | node14(c_e_h_2, c_e, s12, s13) | node15(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13))) <=> (node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22534,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s12) | node14(c_e_h_2, c_e, s12, s13) | node15(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13)))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22533])).
% 79.69/51.98 tff(22535,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s12) | node14(c_e_h_2, c_e, s12, s13) | node15(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13))),
% 79.69/51.98 inference(transitivity,[status(thm)],[22534, 22532])).
% 79.69/51.98 tff(22536,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s12) | node14(c_e_h_2, c_e, s12, s13) | node15(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22537,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | (~node19(c_e_h_2, c_e, s12, s13)) | node15(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 79.69/51.98 tff(22538,plain,
% 79.69/51.98 (node14(c_e_h_2, c_e, s12, s13) | node16(c_e_h_2, c_e, s12) | node15(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22537, 594, 22531])).
% 79.69/51.98 tff(22539,plain,
% 79.69/51.98 (node14(c_e_h_2, c_e, s12, s13)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22538, 22527, 22499])).
% 79.69/51.98 tff(22540,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22541,plain,
% 79.69/51.98 (((~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22542,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22541])).
% 79.69/51.98 tff(22543,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(transitivity,[status(thm)],[22542, 22540])).
% 79.69/51.98 tff(22544,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)))),
% 79.69/51.98 inference(quant_inst,[status(thm)],[])).
% 79.69/51.98 tff(22545,plain,
% 79.69/51.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | (~node14(c_e_h_2, c_e, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 79.69/51.98 tff(22546,plain,
% 79.69/51.98 ($false),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22545, 575, 22482, 22539, 22498])).
% 79.69/51.98 tff(22547,plain,((~node17(c_e_h_2, c_e, s12)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s12) | node15(c_e_h_2, c_e, s12, s13)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.98 tff(22548,plain,
% 79.69/51.98 (~node17(c_e_h_2, c_e, s12)),
% 79.69/51.98 inference(unit_resolution,[status(thm)],[22547, 22482, 22490, 22489])).
% 79.69/51.98 tff(22549,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22550,plain,
% 79.69/51.98 ((node17(c_e_h_2, c_e, s12) | node18(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13))) <=> ((~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12))),
% 79.69/51.98 inference(rewrite,[status(thm)],[])).
% 79.69/51.98 tff(22551,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s12) | node18(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12)))),
% 79.69/51.98 inference(monotonicity,[status(thm)],[22550])).
% 79.69/51.98 tff(22552,plain,
% 79.69/51.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s12) | node18(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(transitivity,[status(thm)],[22551, 22549])).
% 79.69/51.99 tff(22553,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s12) | node18(c_e_h_2, c_e, s12, s13) | (~node19(c_e_h_2, c_e, s12, s13)))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22554,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s12, s13)) | node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 79.69/51.99 tff(22555,plain,
% 79.69/51.99 (node18(c_e_h_2, c_e, s12, s13) | node17(c_e_h_2, c_e, s12)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22554, 508, 22531])).
% 79.69/51.99 tff(22556,plain,
% 79.69/51.99 (node18(c_e_h_2, c_e, s12, s13)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22555, 22548])).
% 79.69/51.99 tff(22557,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22558,plain,
% 79.69/51.99 (((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12) | (~node18(c_e_h_2, c_e, s12, s13))) <=> ((~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22559,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12) | (~node18(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12)))),
% 79.69/51.99 inference(monotonicity,[status(thm)],[22558])).
% 79.69/51.99 tff(22560,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12) | (~node18(c_e_h_2, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(transitivity,[status(thm)],[22559, 22557])).
% 79.69/51.99 tff(22561,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12) | (~node18(c_e_h_2, c_e, s12, s13)))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22562,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~node18(c_e_h_2, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 79.69/51.99 tff(22563,plain,
% 79.69/51.99 ($false),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22562, 481, 22482, 22481, 22556])).
% 79.69/51.99 tff(22564,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.99 tff(22565,plain,
% 79.69/51.99 (~m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22564, 22480, 22253])).
% 79.69/51.99 tff(22566,plain,
% 79.69/51.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12) | m_c_h_element_v_out(c_e_h_2, c_e, s12))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22567,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22568,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12) | m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 79.69/51.99 tff(22569,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12) | m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22568, 3964])).
% 79.69/51.99 tff(22570,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22569, 22480])).
% 79.69/51.99 tff(22571,plain,
% 79.69/51.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13) | m_c_h_element_v_out(c_e_h_2, c_e, s13))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22572,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22573,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13) | m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 79.69/51.99 tff(22574,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13) | m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22573, 3964])).
% 79.69/51.99 tff(22575,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22574, 22565])).
% 79.69/51.99 tff(22576,plain,
% 79.69/51.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22577,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22578,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22577, 22576])).
% 79.69/51.99 tff(22579,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22578, 3964])).
% 79.69/51.99 tff(22580,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22579, 22419])).
% 79.69/51.99 tff(22581,assumption,(~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.69/51.99 tff(22582,plain,
% 79.69/51.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22583,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22584,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10) | m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 79.69/51.99 tff(22585,plain,
% 79.69/51.99 ($false),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22584, 3964, 22342, 22581])).
% 79.69/51.99 tff(22586,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s10) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.99 tff(22587,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22586, 22341])).
% 79.69/51.99 tff(22588,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)), introduced(assumption)).
% 79.69/51.99 tff(22589,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.69/51.99 tff(22590,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.69/51.99 tff(22591,plain,
% 79.69/51.99 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22592,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22593,plain,
% 79.69/51.99 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 79.69/51.99 tff(22594,plain,
% 79.69/51.99 ($false),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22593, 3976, 22590, 20179])).
% 79.69/51.99 tff(22595,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.99 tff(22596,plain,
% 79.69/51.99 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22595, 20179])).
% 79.69/51.99 tff(22597,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.69/51.99 tff(22598,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.69/51.99 tff(22599,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.69/51.99 tff(22600,assumption,(node10(c_e_h_2, c_n, s10, s11)), introduced(assumption)).
% 79.69/51.99 tff(22601,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22602,plain,
% 79.69/51.99 (((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22603,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10))))),
% 79.69/51.99 inference(monotonicity,[status(thm)],[22602])).
% 79.69/51.99 tff(22604,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)))),
% 79.69/51.99 inference(transitivity,[status(thm)],[22603, 22601])).
% 79.69/51.99 tff(22605,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22606,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10))),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 79.69/51.99 tff(22607,plain,
% 79.69/51.99 ($false),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22606, 160, 22600, 22597, 22599, 22598])).
% 79.69/51.99 tff(22608,plain,((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)), inference(lemma,lemma(discharge,[]))).
% 79.69/51.99 tff(22609,plain,
% 79.69/51.99 (~node10(c_e_h_2, c_n, s10, s11)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22608, 22598, 22599, 22597])).
% 79.69/51.99 tff(22610,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_2, c_n, s10, s11) | node11(c_e_h_2, c_n, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_2, c_n, s10, s11) | node11(c_e_h_2, c_n, s10, s11))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22611,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s10, s11)) | node10(c_e_h_2, c_n, s10, s11) | node11(c_e_h_2, c_n, s10, s11))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22612,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s10, s11)) | node10(c_e_h_2, c_n, s10, s11) | node11(c_e_h_2, c_n, s10, s11)),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 79.69/51.99 tff(22613,plain,
% 79.69/51.99 (node10(c_e_h_2, c_n, s10, s11) | node11(c_e_h_2, c_n, s10, s11)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22612, 193, 8015])).
% 79.69/51.99 tff(22614,plain,
% 79.69/51.99 (node11(c_e_h_2, c_n, s10, s11)),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22613, 22609])).
% 79.69/51.99 tff(22615,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11)))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22616,plain,
% 79.69/51.99 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node11(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11)))),
% 79.69/51.99 inference(rewrite,[status(thm)],[])).
% 79.69/51.99 tff(22617,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node11(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11))))),
% 79.69/51.99 inference(monotonicity,[status(thm)],[22616])).
% 79.69/51.99 tff(22618,plain,
% 79.69/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node11(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11)))),
% 79.69/51.99 inference(transitivity,[status(thm)],[22617, 22615])).
% 79.69/51.99 tff(22619,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~node11(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)))),
% 79.69/51.99 inference(quant_inst,[status(thm)],[])).
% 79.69/51.99 tff(22620,plain,
% 79.69/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~node11(c_e_h_2, c_n, s10, s11))),
% 79.69/51.99 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 79.69/51.99 tff(22621,plain,
% 79.69/51.99 ($false),
% 79.69/51.99 inference(unit_resolution,[status(thm)],[22620, 208, 22614, 20459, 22598])).
% 79.69/51.99 tff(22622,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.73/51.99 tff(22623,plain,
% 79.73/51.99 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.73/51.99 inference(unit_resolution,[status(thm)],[22622, 20459, 22597, 22596])).
% 79.73/51.99 tff(22624,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.73/51.99 tff(22625,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.73/51.99 tff(22626,assumption,(node10(c_e_h_2, c_n, s11, s12)), introduced(assumption)).
% 79.73/51.99 tff(22627,plain,
% 79.73/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.73/51.99 inference(rewrite,[status(thm)],[])).
% 79.73/51.99 tff(22628,plain,
% 79.73/51.99 (((~node10(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.73/51.99 inference(rewrite,[status(thm)],[])).
% 79.73/51.99 tff(22629,plain,
% 79.73/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12))))),
% 79.73/51.99 inference(monotonicity,[status(thm)],[22628])).
% 79.73/51.99 tff(22630,plain,
% 79.73/51.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.73/51.99 inference(transitivity,[status(thm)],[22629, 22627])).
% 79.73/51.99 tff(22631,plain,
% 79.73/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))),
% 79.73/51.99 inference(quant_inst,[status(thm)],[])).
% 79.73/51.99 tff(22632,plain,
% 79.73/51.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s11, s12))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 79.73/52.00 tff(22633,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22632, 160, 22588, 22589, 22626, 22625])).
% 79.73/52.00 tff(22634,plain,((~node10(c_e_h_2, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22635,plain,
% 79.73/52.00 (~node10(c_e_h_2, c_n, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22634, 22588, 22589, 22625])).
% 79.73/52.00 tff(22636,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_2, c_n, s11, s12) | node11(c_e_h_2, c_n, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_2, c_n, s11, s12) | node11(c_e_h_2, c_n, s11, s12))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22637,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_2, c_n, s11, s12) | node11(c_e_h_2, c_n, s11, s12))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22638,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_2, c_n, s11, s12) | node11(c_e_h_2, c_n, s11, s12)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22637, 22636])).
% 79.73/52.00 tff(22639,plain,
% 79.73/52.00 (node10(c_e_h_2, c_n, s11, s12) | node11(c_e_h_2, c_n, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22638, 193, 8210])).
% 79.73/52.00 tff(22640,plain,
% 79.73/52.00 (node11(c_e_h_2, c_n, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22639, 22635])).
% 79.73/52.00 tff(22641,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22642,plain,
% 79.73/52.00 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~node11(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22643,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~node11(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12))))),
% 79.73/52.00 inference(monotonicity,[status(thm)],[22642])).
% 79.73/52.00 tff(22644,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~node11(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12)))),
% 79.73/52.00 inference(transitivity,[status(thm)],[22643, 22641])).
% 79.73/52.00 tff(22645,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~node11(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22646,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s11, s12))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 79.73/52.00 tff(22647,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22646, 208, 22588, 22640, 22624])).
% 79.73/52.00 tff(22648,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22649,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22648, 22623, 22589, 22588])).
% 79.73/52.00 tff(22650,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20462, 3886, 20459])).
% 79.73/52.00 tff(22651,plain,
% 79.73/52.00 (~node9(c_e_h_2, c_m, s10)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20470, 238, 22650])).
% 79.73/52.00 tff(22652,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20495, 22651, 20179])).
% 79.73/52.00 tff(22653,plain,
% 79.73/52.00 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22654,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22655,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22654, 22653])).
% 79.73/52.00 tff(22656,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22655, 3976, 22652, 22649])).
% 79.73/52.00 tff(22657,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22658,plain,
% 79.73/52.00 ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22657, 20457, 20177, 22587])).
% 79.73/52.00 tff(22659,plain,
% 79.73/52.00 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22658, 22580])).
% 79.73/52.00 tff(22660,plain,
% 79.73/52.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22661,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22662,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 79.73/52.00 tff(22663,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22662, 3886, 22659])).
% 79.73/52.00 tff(22664,assumption,(node9(c_e_h_2, c_m, s12)), introduced(assumption)).
% 79.73/52.00 tff(22665,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)), introduced(assumption)).
% 79.73/52.00 tff(22666,plain,
% 79.73/52.00 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22667,plain,
% 79.73/52.00 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22668,plain,
% 79.73/52.00 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s12)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22667, 22666])).
% 79.73/52.00 tff(22669,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22668, 238, 22665, 22664])).
% 79.73/52.00 tff(22670,plain,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12) | (~node9(c_e_h_2, c_m, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22671,plain,
% 79.73/52.00 (~node9(c_e_h_2, c_m, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22670, 22663])).
% 79.73/52.00 tff(22672,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)), introduced(assumption)).
% 79.73/52.00 tff(22673,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20464, 20459])).
% 79.73/52.00 tff(22674,plain,
% 79.73/52.00 (~node9(c_e_h_2, c_m, s10)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20472, 22673])).
% 79.73/52.00 tff(22675,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[20495, 20179, 22674])).
% 79.73/52.00 tff(22676,assumption,(~node9(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.73/52.00 tff(22677,assumption,(node10(c_e_h_2, c_m, s11, s12)), introduced(assumption)).
% 79.73/52.00 tff(22678,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22679,plain,
% 79.73/52.00 ((node9(c_e_h_2, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node10(c_e_h_2, c_m, s11, s12))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22680,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node10(c_e_h_2, c_m, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12))))),
% 79.73/52.00 inference(monotonicity,[status(thm)],[22679])).
% 79.73/52.00 tff(22681,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node10(c_e_h_2, c_m, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12)))),
% 79.73/52.00 inference(transitivity,[status(thm)],[22680, 22678])).
% 79.73/52.00 tff(22682,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node10(c_e_h_2, c_m, s11, s12)))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22683,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | node9(c_e_h_2, c_m, s11) | (~node10(c_e_h_2, c_m, s11, s12))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22682, 22681])).
% 79.73/52.00 tff(22684,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22683, 252, 22677, 22676, 22672])).
% 79.73/52.00 tff(22685,plain,((~node10(c_e_h_2, c_m, s11, s12)) | node9(c_e_h_2, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22686,plain,
% 79.73/52.00 (~node10(c_e_h_2, c_m, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22685, 22672, 22676])).
% 79.73/52.00 tff(22687,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_2, c_m, s11, s12) | node11(c_e_h_2, c_m, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_2, c_m, s11, s12) | node11(c_e_h_2, c_m, s11, s12))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22688,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s11, s12)) | node10(c_e_h_2, c_m, s11, s12) | node11(c_e_h_2, c_m, s11, s12))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22689,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s11, s12)) | node10(c_e_h_2, c_m, s11, s12) | node11(c_e_h_2, c_m, s11, s12)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 79.73/52.00 tff(22690,plain,
% 79.73/52.00 (node10(c_e_h_2, c_m, s11, s12) | node11(c_e_h_2, c_m, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22689, 193, 8210])).
% 79.73/52.00 tff(22691,plain,
% 79.73/52.00 (node11(c_e_h_2, c_m, s11, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22690, 22686])).
% 79.73/52.00 tff(22692,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node11(c_e_h_2, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node11(c_e_h_2, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22693,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node11(c_e_h_2, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22694,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~node11(c_e_h_2, c_m, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22693, 22692])).
% 79.73/52.00 tff(22695,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22694, 282, 22691, 20498, 22672])).
% 79.73/52.00 tff(22696,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11) | node9(c_e_h_2, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22697,plain,
% 79.73/52.00 (node9(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22696, 22675, 22672])).
% 79.73/52.00 tff(22698,plain,
% 79.73/52.00 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22622, 22596, 22597, 20459])).
% 79.73/52.00 tff(22699,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.73/52.00 tff(22700,plain,
% 79.73/52.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22701,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22702,plain,
% 79.73/52.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22701, 22700])).
% 79.73/52.00 tff(22703,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22702, 3886, 22624, 22699])).
% 79.73/52.00 tff(22704,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22705,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22704, 22698])).
% 79.73/52.00 tff(22706,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.73/52.00 tff(22707,assumption,(node9(c_e_h_2, c_m, s11)), introduced(assumption)).
% 79.73/52.00 tff(22708,plain,
% 79.73/52.00 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22709,plain,
% 79.73/52.00 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22710,plain,
% 79.73/52.00 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 79.73/52.00 tff(22711,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22710, 238, 22707, 22706])).
% 79.73/52.00 tff(22712,plain,((~node9(c_e_h_2, c_m, s11)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22713,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22712, 22705, 22697])).
% 79.73/52.00 tff(22714,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22715,plain,
% 79.73/52.00 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22714, 20457, 22587, 20177])).
% 79.73/52.00 tff(22716,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)), introduced(assumption)).
% 79.73/52.00 tff(22717,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)), introduced(assumption)).
% 79.73/52.00 tff(22718,assumption,(node11(c_e_h_2, c_m, s12, s13)), introduced(assumption)).
% 79.73/52.00 tff(22719,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node11(c_e_h_2, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node11(c_e_h_2, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22720,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node11(c_e_h_2, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22721,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node11(c_e_h_2, c_m, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22720, 22719])).
% 79.73/52.00 tff(22722,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22721, 282, 22717, 22718, 22716])).
% 79.73/52.00 tff(22723,plain,((~node11(c_e_h_2, c_m, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22724,plain,
% 79.73/52.00 (~node11(c_e_h_2, c_m, s12, s13)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22723, 22717, 22716])).
% 79.73/52.00 tff(22725,assumption,(~node9(c_e_h_2, c_m, s12)), introduced(assumption)).
% 79.73/52.00 tff(22726,assumption,(node10(c_e_h_2, c_m, s12, s13)), introduced(assumption)).
% 79.73/52.00 tff(22727,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node10(c_e_h_2, c_m, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node10(c_e_h_2, c_m, s12, s13)))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22728,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node10(c_e_h_2, c_m, s12, s13)))),
% 79.73/52.00 inference(quant_inst,[status(thm)],[])).
% 79.73/52.00 tff(22729,plain,
% 79.73/52.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | (~node10(c_e_h_2, c_m, s12, s13))),
% 79.73/52.00 inference(modus_ponens,[status(thm)],[22728, 22727])).
% 79.73/52.00 tff(22730,plain,
% 79.73/52.00 ($false),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22729, 252, 22717, 22726, 22725])).
% 79.73/52.00 tff(22731,plain,((~node10(c_e_h_2, c_m, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | node9(c_e_h_2, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.00 tff(22732,plain,
% 79.73/52.00 (~node10(c_e_h_2, c_m, s12, s13)),
% 79.73/52.00 inference(unit_resolution,[status(thm)],[22731, 22717, 22725])).
% 79.73/52.00 tff(22733,plain,
% 79.73/52.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_2, c_m, s12, s13) | node11(c_e_h_2, c_m, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_2, c_m, s12, s13) | node11(c_e_h_2, c_m, s12, s13))),
% 79.73/52.00 inference(rewrite,[status(thm)],[])).
% 79.73/52.00 tff(22734,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_2, c_m, s12, s13) | node11(c_e_h_2, c_m, s12, s13))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22735,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_2, c_m, s12, s13) | node11(c_e_h_2, c_m, s12, s13)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 79.73/52.01 tff(22736,plain,
% 79.73/52.01 (node10(c_e_h_2, c_m, s12, s13) | node11(c_e_h_2, c_m, s12, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22735, 193, 8278])).
% 79.73/52.01 tff(22737,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22736, 22732, 22724])).
% 79.73/52.01 tff(22738,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | node9(c_e_h_2, c_m, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22739,plain,
% 79.73/52.01 ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)) | node9(c_e_h_2, c_m, s12)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22738, 22715])).
% 79.73/52.01 tff(22740,plain,
% 79.73/52.01 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22739, 22671])).
% 79.73/52.01 tff(22741,plain,
% 79.73/52.01 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22742,plain,
% 79.73/52.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22743,plain,
% 79.73/52.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s12)) | m_c_h_element_v_out(c_e_h_2, c_h, s12)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 79.73/52.01 tff(22744,plain,
% 79.73/52.01 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s12)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22743, 8, 21071])).
% 79.73/52.01 tff(22745,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s12))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22746,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s12))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22747,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s12)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 79.73/52.01 tff(22748,plain,
% 79.73/52.01 (~node20(c_e_h_2, c_i, s12)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22747, 22, 22744])).
% 79.73/52.01 tff(22749,assumption,(~node20(c_e_h_2, c_i, s12)), introduced(assumption)).
% 79.73/52.01 tff(22750,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s13)), introduced(assumption)).
% 79.73/52.01 tff(22751,assumption,(node21(c_e_h_2, c_i, s12, s13)), introduced(assumption)).
% 79.73/52.01 tff(22752,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node21(c_e_h_2, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node21(c_e_h_2, c_i, s12, s13)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22753,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node21(c_e_h_2, c_i, s12, s13)))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22754,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node21(c_e_h_2, c_i, s12, s13))),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 79.73/52.01 tff(22755,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22754, 348, 22751, 22750, 22749])).
% 79.73/52.01 tff(22756,plain,((~node21(c_e_h_2, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | node20(c_e_h_2, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22757,plain,
% 79.73/52.01 (~node21(c_e_h_2, c_i, s12, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22756, 22750, 22749])).
% 79.73/52.01 tff(22758,assumption,(node22(c_e_h_2, c_i, s12, s13)), introduced(assumption)).
% 79.73/52.01 tff(22759,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node22(c_e_h_2, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node22(c_e_h_2, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22760,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node22(c_e_h_2, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22761,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | (~node22(c_e_h_2, c_i, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 79.73/52.01 tff(22762,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22761, 437, 22758, 22750, 22081])).
% 79.73/52.01 tff(22763,plain,((~node22(c_e_h_2, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22764,plain,
% 79.73/52.01 (~node22(c_e_h_2, c_i, s12, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22763, 22750, 22081])).
% 79.73/52.01 tff(22765,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_2, c_i, s12, s13) | node22(c_e_h_2, c_i, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_2, c_i, s12, s13) | node22(c_e_h_2, c_i, s12, s13))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22766,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_2, c_i, s12, s13) | node22(c_e_h_2, c_i, s12, s13))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22767,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_2, c_i, s12, s13) | node22(c_e_h_2, c_i, s12, s13)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 79.73/52.01 tff(22768,plain,
% 79.73/52.01 (node21(c_e_h_2, c_i, s12, s13) | node22(c_e_h_2, c_i, s12, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22767, 383, 8278])).
% 79.73/52.01 tff(22769,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22768, 22764, 22757])).
% 79.73/52.01 tff(22770,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | node20(c_e_h_2, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22771,plain,
% 79.73/52.01 (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22770, 22081, 22748])).
% 79.73/52.01 tff(22772,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s13)), introduced(assumption)).
% 79.73/52.01 tff(22773,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.01 tff(22774,plain,
% 79.73/52.01 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22775,plain,
% 79.73/52.01 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22776,plain,
% 79.73/52.01 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22775, 22774])).
% 79.73/52.01 tff(22777,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22776, 4785, 22773, 22772])).
% 79.73/52.01 tff(22778,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22779,plain,
% 79.73/52.01 (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22778, 22771])).
% 79.73/52.01 tff(22780,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.73/52.01 tff(22781,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.01 tff(22782,assumption,(node18(c_e_h_2, c_e, s13, s14)), introduced(assumption)).
% 79.73/52.01 tff(22783,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22784,plain,
% 79.73/52.01 (((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~node18(c_e_h_2, c_e, s13, s14))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22785,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~node18(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14))))),
% 79.73/52.01 inference(monotonicity,[status(thm)],[22784])).
% 79.73/52.01 tff(22786,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~node18(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(transitivity,[status(thm)],[22785, 22783])).
% 79.73/52.01 tff(22787,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~node18(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22788,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node18(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 79.73/52.01 tff(22789,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22788, 481, 22780, 22781, 22782])).
% 79.73/52.01 tff(22790,plain,((~node18(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22791,plain,
% 79.73/52.01 (~node18(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22790, 22781, 22780])).
% 79.73/52.01 tff(22792,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_2, c_e, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22793,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22794,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 79.73/52.01 tff(22795,plain,
% 79.73/52.01 (node19(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22794, 494, 8985])).
% 79.73/52.01 tff(22796,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22797,plain,
% 79.73/52.01 ((node17(c_e_h_2, c_e, s13) | node18(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14))) <=> (node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22798,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s13) | node18(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(monotonicity,[status(thm)],[22797])).
% 79.73/52.01 tff(22799,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s13) | node18(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14))),
% 79.73/52.01 inference(transitivity,[status(thm)],[22798, 22796])).
% 79.73/52.01 tff(22800,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s13) | node18(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22801,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node18(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 79.73/52.01 tff(22802,plain,
% 79.73/52.01 (node17(c_e_h_2, c_e, s13) | node18(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22801, 508, 22795])).
% 79.73/52.01 tff(22803,plain,
% 79.73/52.01 (node17(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22802, 22791])).
% 79.73/52.01 tff(22804,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.01 tff(22805,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13) | (~node17(c_e_h_2, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13) | (~node17(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22806,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13) | (~node17(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22807,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13) | (~node17(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 79.73/52.01 tff(22808,plain,
% 79.73/52.01 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node17(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22807, 541, 22804])).
% 79.73/52.01 tff(22809,plain,
% 79.73/52.01 (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22808, 22803])).
% 79.73/52.01 tff(22810,assumption,(node15(c_e_h_2, c_e, s13, s14)), introduced(assumption)).
% 79.73/52.01 tff(22811,plain,
% 79.73/52.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node15(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node15(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22812,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node15(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22813,plain,
% 79.73/52.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | (~node15(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22812, 22811])).
% 79.73/52.01 tff(22814,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22813, 612, 22780, 22781, 22810])).
% 79.73/52.01 tff(22815,plain,((~node15(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22816,plain,
% 79.73/52.01 (~node15(c_e_h_2, c_e, s13, s14)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22815, 22781, 22780])).
% 79.73/52.01 tff(22817,assumption,(node16(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.01 tff(22818,assumption,(node17(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.01 tff(22819,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22820,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s13))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22821,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s13)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 79.73/52.01 tff(22822,plain,
% 79.73/52.01 (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22821, 559, 22817])).
% 79.73/52.01 tff(22823,plain,
% 79.73/52.01 (m_c_h_element_v_in1(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22822, 22804])).
% 79.73/52.01 tff(22824,plain,
% 79.73/52.01 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22807, 541, 22818])).
% 79.73/52.01 tff(22825,plain,
% 79.73/52.01 ($false),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22824, 22823, 22804])).
% 79.73/52.01 tff(22826,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s13) | (~node17(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.01 tff(22827,plain,
% 79.73/52.01 (m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.73/52.01 inference(unit_resolution,[status(thm)],[22826, 22818, 22817])).
% 79.73/52.01 tff(22828,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22829,plain,
% 79.73/52.01 (((~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(rewrite,[status(thm)],[])).
% 79.73/52.01 tff(22830,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13))))),
% 79.73/52.01 inference(monotonicity,[status(thm)],[22829])).
% 79.73/52.01 tff(22831,plain,
% 79.73/52.01 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(transitivity,[status(thm)],[22830, 22828])).
% 79.73/52.01 tff(22832,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)))),
% 79.73/52.01 inference(quant_inst,[status(thm)],[])).
% 79.73/52.01 tff(22833,plain,
% 79.73/52.01 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13))),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 79.73/52.02 tff(22834,plain,
% 79.73/52.02 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s13)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13))),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22833, 1192, 22817])).
% 79.73/52.02 tff(22835,plain,
% 79.73/52.02 (~m_c_h_element_v_in1(c_e_h_2, c_e, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22834, 22827])).
% 79.73/52.02 tff(22836,plain,
% 79.73/52.02 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | (~node17(c_e_h_2, c_e, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | (~node17(c_e_h_2, c_e, s13)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22837,plain,
% 79.73/52.02 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | (~node17(c_e_h_2, c_e, s13)))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22838,plain,
% 79.73/52.02 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)) | (~node17(c_e_h_2, c_e, s13))),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 79.73/52.02 tff(22839,plain,
% 79.73/52.02 (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s13))),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22838, 1172, 22818])).
% 79.73/52.02 tff(22840,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22839, 22835, 22827])).
% 79.73/52.02 tff(22841,plain,((~node17(c_e_h_2, c_e, s13)) | (~node16(c_e_h_2, c_e, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22842,plain,
% 79.73/52.02 (~node16(c_e_h_2, c_e, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22841, 22803])).
% 79.73/52.02 tff(22843,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22844,plain,
% 79.73/52.02 ((node16(c_e_h_2, c_e, s13) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14))) <=> (node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22845,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s13) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.02 inference(monotonicity,[status(thm)],[22844])).
% 79.73/52.02 tff(22846,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s13) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14))),
% 79.73/52.02 inference(transitivity,[status(thm)],[22845, 22843])).
% 79.73/52.02 tff(22847,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s13) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14) | (~node19(c_e_h_2, c_e, s13, s14)))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22848,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_e, s13) | (~node19(c_e_h_2, c_e, s13, s14)) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14)),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22847, 22846])).
% 79.73/52.02 tff(22849,plain,
% 79.73/52.02 (node16(c_e_h_2, c_e, s13) | node14(c_e_h_2, c_e, s13, s14) | node15(c_e_h_2, c_e, s13, s14)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22848, 594, 22795])).
% 79.73/52.02 tff(22850,plain,
% 79.73/52.02 (node14(c_e_h_2, c_e, s13, s14)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22849, 22842, 22816])).
% 79.73/52.02 tff(22851,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s13)), introduced(assumption)).
% 79.73/52.02 tff(22852,assumption,(node14(c_e_h_2, c_e, s13, s14)), introduced(assumption)).
% 79.73/52.02 tff(22853,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22854,plain,
% 79.73/52.02 (((~node14(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14))) <=> (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22855,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14))))),
% 79.73/52.02 inference(monotonicity,[status(thm)],[22854])).
% 79.73/52.02 tff(22856,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))),
% 79.73/52.02 inference(transitivity,[status(thm)],[22855, 22853])).
% 79.73/52.02 tff(22857,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22858,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_2, c_e, s13) | (~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22857, 22856])).
% 79.73/52.02 tff(22859,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22858, 575, 22780, 22852, 22851])).
% 79.73/52.02 tff(22860,plain,((~node14(c_e_h_2, c_e, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22861,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22860, 22850, 22809, 22780])).
% 79.73/52.02 tff(22862,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22863,plain,
% 79.73/52.02 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22862, 22565, 22779])).
% 79.73/52.02 tff(22864,plain,
% 79.73/52.02 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14) | m_c_h_element_v_out(c_e_h_2, c_e, s14))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22865,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22866,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14) | m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22865, 22864])).
% 79.73/52.02 tff(22867,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14) | m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22866, 3964])).
% 79.73/52.02 tff(22868,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22867, 22863])).
% 79.73/52.02 tff(22869,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)), introduced(assumption)).
% 79.73/52.02 tff(22870,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)), introduced(assumption)).
% 79.73/52.02 tff(22871,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)), introduced(assumption)).
% 79.73/52.02 tff(22872,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)), introduced(assumption)).
% 79.73/52.02 tff(22873,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)), introduced(assumption)).
% 79.73/52.02 tff(22874,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)), introduced(assumption)).
% 79.73/52.02 tff(22875,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)), introduced(assumption)).
% 79.73/52.02 tff(22876,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)), introduced(assumption)).
% 79.73/52.02 tff(22877,plain,
% 79.73/52.02 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22878,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22879,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22878, 22877])).
% 79.73/52.02 tff(22880,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22879, 3976, 22716, 22876])).
% 79.73/52.02 tff(22881,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22882,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22881, 22716])).
% 79.73/52.02 tff(22883,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)), introduced(assumption)).
% 79.73/52.02 tff(22884,assumption,(node11(c_e_h_2, c_n, s12, s13)), introduced(assumption)).
% 79.73/52.02 tff(22885,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22886,plain,
% 79.73/52.02 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22887,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13))))),
% 79.73/52.02 inference(monotonicity,[status(thm)],[22886])).
% 79.73/52.02 tff(22888,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(transitivity,[status(thm)],[22887, 22885])).
% 79.73/52.02 tff(22889,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22890,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~node11(c_e_h_2, c_n, s12, s13))),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 79.73/52.02 tff(22891,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22890, 208, 22874, 22883, 22884])).
% 79.73/52.02 tff(22892,plain,((~node11(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22893,plain,
% 79.73/52.02 (~node11(c_e_h_2, c_n, s12, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22892, 22883, 22874])).
% 79.73/52.02 tff(22894,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)), introduced(assumption)).
% 79.73/52.02 tff(22895,assumption,(node10(c_e_h_2, c_n, s12, s13)), introduced(assumption)).
% 79.73/52.02 tff(22896,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22897,plain,
% 79.73/52.02 (((~node10(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22898,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13))))),
% 79.73/52.02 inference(monotonicity,[status(thm)],[22897])).
% 79.73/52.02 tff(22899,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13)))),
% 79.73/52.02 inference(transitivity,[status(thm)],[22898, 22896])).
% 79.73/52.02 tff(22900,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s12, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22901,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s12, s13))),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22900, 22899])).
% 79.73/52.02 tff(22902,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22901, 160, 22883, 22872, 22895, 22894])).
% 79.73/52.02 tff(22903,plain,((~node10(c_e_h_2, c_n, s12, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22904,plain,
% 79.73/52.02 (~node10(c_e_h_2, c_n, s12, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22903, 22883, 22872, 22894])).
% 79.73/52.02 tff(22905,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_2, c_n, s12, s13) | node11(c_e_h_2, c_n, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_2, c_n, s12, s13) | node11(c_e_h_2, c_n, s12, s13))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22906,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s12, s13)) | node10(c_e_h_2, c_n, s12, s13) | node11(c_e_h_2, c_n, s12, s13))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22907,plain,
% 79.73/52.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s12, s13)) | node10(c_e_h_2, c_n, s12, s13) | node11(c_e_h_2, c_n, s12, s13)),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 79.73/52.02 tff(22908,plain,
% 79.73/52.02 (node10(c_e_h_2, c_n, s12, s13) | node11(c_e_h_2, c_n, s12, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22907, 193, 8278])).
% 79.73/52.02 tff(22909,plain,
% 79.73/52.02 ($false),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22908, 22904, 22893])).
% 79.73/52.02 tff(22910,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.02 tff(22911,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22910, 22882, 22872, 22874])).
% 79.73/52.02 tff(22912,plain,
% 79.73/52.02 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22662, 3886, 22874])).
% 79.73/52.02 tff(22913,plain,
% 79.73/52.02 (~node9(c_e_h_2, c_m, s12)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22668, 238, 22912])).
% 79.73/52.02 tff(22914,plain,
% 79.73/52.02 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22738, 22716, 22913])).
% 79.73/52.02 tff(22915,plain,
% 79.73/52.02 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.73/52.02 inference(rewrite,[status(thm)],[])).
% 79.73/52.02 tff(22916,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.73/52.02 inference(quant_inst,[status(thm)],[])).
% 79.73/52.02 tff(22917,plain,
% 79.73/52.02 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.73/52.02 inference(modus_ponens,[status(thm)],[22916, 22915])).
% 79.73/52.02 tff(22918,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22917, 3976])).
% 79.73/52.02 tff(22919,plain,
% 79.73/52.02 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)),
% 79.73/52.02 inference(unit_resolution,[status(thm)],[22918, 22914])).
% 79.73/52.02 tff(22920,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)), introduced(assumption)).
% 79.73/52.02 tff(22921,assumption,(node10(c_e_h_2, c_n, s13, s14)), introduced(assumption)).
% 79.73/52.02 tff(22922,plain,
% 79.73/52.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22923,plain,
% 79.73/52.03 (((~node10(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22924,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14))))),
% 79.73/52.03 inference(monotonicity,[status(thm)],[22923])).
% 79.73/52.03 tff(22925,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(transitivity,[status(thm)],[22924, 22922])).
% 79.73/52.03 tff(22926,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22927,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~node10(c_e_h_2, c_n, s13, s14))),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22926, 22925])).
% 79.73/52.03 tff(22928,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22927, 160, 22875, 22920, 22873, 22921])).
% 79.73/52.03 tff(22929,plain,((~node10(c_e_h_2, c_n, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22930,plain,
% 79.73/52.03 (~node10(c_e_h_2, c_n, s13, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22929, 22875, 22873, 22920])).
% 79.73/52.03 tff(22931,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)), introduced(assumption)).
% 79.73/52.03 tff(22932,assumption,(node11(c_e_h_2, c_n, s13, s14)), introduced(assumption)).
% 79.73/52.03 tff(22933,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22934,plain,
% 79.73/52.03 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~node11(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22935,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~node11(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14))))),
% 79.73/52.03 inference(monotonicity,[status(thm)],[22934])).
% 79.73/52.03 tff(22936,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~node11(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14)))),
% 79.73/52.03 inference(transitivity,[status(thm)],[22935, 22933])).
% 79.73/52.03 tff(22937,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~node11(c_e_h_2, c_n, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22938,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~node11(c_e_h_2, c_n, s13, s14))),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22937, 22936])).
% 79.73/52.03 tff(22939,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22938, 208, 22875, 22931, 22932])).
% 79.73/52.03 tff(22940,plain,((~node11(c_e_h_2, c_n, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22941,plain,
% 79.73/52.03 (~node11(c_e_h_2, c_n, s13, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22940, 22875, 22931])).
% 79.73/52.03 tff(22942,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_2, c_n, s13, s14) | node11(c_e_h_2, c_n, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_2, c_n, s13, s14) | node11(c_e_h_2, c_n, s13, s14))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22943,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_2, c_n, s13, s14) | node11(c_e_h_2, c_n, s13, s14))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22944,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_2, c_n, s13, s14) | node11(c_e_h_2, c_n, s13, s14)),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 79.73/52.03 tff(22945,plain,
% 79.73/52.03 (node10(c_e_h_2, c_n, s13, s14) | node11(c_e_h_2, c_n, s13, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22944, 193, 8985])).
% 79.73/52.03 tff(22946,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22945, 22941, 22930])).
% 79.73/52.03 tff(22947,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22948,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22947, 22919, 22911, 22875, 22873])).
% 79.73/52.03 tff(22949,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22950,plain,
% 79.73/52.03 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22949, 22715])).
% 79.73/52.03 tff(22951,plain,
% 79.73/52.03 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22950, 22874, 22873, 22872])).
% 79.73/52.03 tff(22952,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)), introduced(assumption)).
% 79.73/52.03 tff(22953,assumption,(node11(c_e_h_2, c_n, s14, s15)), introduced(assumption)).
% 79.73/52.03 tff(22954,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22955,plain,
% 79.73/52.03 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22956,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15))))),
% 79.73/52.03 inference(monotonicity,[status(thm)],[22955])).
% 79.73/52.03 tff(22957,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(transitivity,[status(thm)],[22956, 22954])).
% 79.73/52.03 tff(22958,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22959,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~node11(c_e_h_2, c_n, s14, s15))),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 79.73/52.03 tff(22960,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22959, 208, 22952, 22953, 22870])).
% 79.73/52.03 tff(22961,plain,((~node11(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22962,plain,
% 79.73/52.03 (~node11(c_e_h_2, c_n, s14, s15)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22961, 22870, 22952])).
% 79.73/52.03 tff(22963,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)), introduced(assumption)).
% 79.73/52.03 tff(22964,assumption,(node10(c_e_h_2, c_n, s14, s15)), introduced(assumption)).
% 79.73/52.03 tff(22965,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22966,plain,
% 79.73/52.03 (((~node10(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)) <=> ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22967,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15))))),
% 79.73/52.03 inference(monotonicity,[status(thm)],[22966])).
% 79.73/52.03 tff(22968,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15)))),
% 79.73/52.03 inference(transitivity,[status(thm)],[22967, 22965])).
% 79.73/52.03 tff(22969,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22970,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~node10(c_e_h_2, c_n, s14, s15))),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 79.73/52.03 tff(22971,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22970, 160, 22963, 22871, 22964, 22870])).
% 79.73/52.03 tff(22972,plain,((~node10(c_e_h_2, c_n, s14, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22973,plain,
% 79.73/52.03 (~node10(c_e_h_2, c_n, s14, s15)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22972, 22870, 22871, 22963])).
% 79.73/52.03 tff(22974,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_2, c_n, s14, s15) | node11(c_e_h_2, c_n, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_2, c_n, s14, s15) | node11(c_e_h_2, c_n, s14, s15))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22975,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_2, c_n, s14, s15) | node11(c_e_h_2, c_n, s14, s15))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22976,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_2, c_n, s14, s15) | node11(c_e_h_2, c_n, s14, s15)),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22975, 22974])).
% 79.73/52.03 tff(22977,plain,
% 79.73/52.03 (node10(c_e_h_2, c_n, s14, s15) | node11(c_e_h_2, c_n, s14, s15)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22976, 193, 18664])).
% 79.73/52.03 tff(22978,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22977, 22973, 22962])).
% 79.73/52.03 tff(22979,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22980,plain,
% 79.73/52.03 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22979, 22951, 22871, 22870])).
% 79.73/52.03 tff(22981,plain,
% 79.73/52.03 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22982,plain,
% 79.73/52.03 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22983,plain,
% 79.73/52.03 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 79.73/52.03 tff(22984,plain,
% 79.73/52.03 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22983, 3976])).
% 79.73/52.03 tff(22985,plain,
% 79.73/52.03 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22984, 22980])).
% 79.73/52.03 tff(22986,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)), introduced(assumption)).
% 79.73/52.03 tff(22987,assumption,(node11(c_e_h_2, c_m, s13, s14)), introduced(assumption)).
% 79.73/52.03 tff(22988,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node11(c_e_h_2, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node11(c_e_h_2, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22989,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node11(c_e_h_2, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.73/52.03 inference(quant_inst,[status(thm)],[])).
% 79.73/52.03 tff(22990,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node11(c_e_h_2, c_m, s13, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.73/52.03 inference(modus_ponens,[status(thm)],[22989, 22988])).
% 79.73/52.03 tff(22991,plain,
% 79.73/52.03 ($false),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22990, 282, 22986, 22869, 22987])).
% 79.73/52.03 tff(22992,plain,((~node11(c_e_h_2, c_m, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.03 tff(22993,plain,
% 79.73/52.03 (~node11(c_e_h_2, c_m, s13, s14)),
% 79.73/52.03 inference(unit_resolution,[status(thm)],[22992, 22986, 22869])).
% 79.73/52.03 tff(22994,assumption,(~node9(c_e_h_2, c_m, s13)), introduced(assumption)).
% 79.73/52.03 tff(22995,assumption,(node10(c_e_h_2, c_m, s13, s14)), introduced(assumption)).
% 79.73/52.03 tff(22996,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22997,plain,
% 79.73/52.03 ((node9(c_e_h_2, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node10(c_e_h_2, c_m, s13, s14))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14)))),
% 79.73/52.03 inference(rewrite,[status(thm)],[])).
% 79.73/52.03 tff(22998,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node10(c_e_h_2, c_m, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14))))),
% 79.73/52.03 inference(monotonicity,[status(thm)],[22997])).
% 79.73/52.03 tff(22999,plain,
% 79.73/52.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node10(c_e_h_2, c_m, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14)))),
% 79.73/52.03 inference(transitivity,[status(thm)],[22998, 22996])).
% 79.73/52.03 tff(23000,plain,
% 79.73/52.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | (~node10(c_e_h_2, c_m, s13, s14)))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23001,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | (~node10(c_e_h_2, c_m, s13, s14))),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 79.73/52.04 tff(23002,plain,
% 79.73/52.04 ($false),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23001, 252, 22986, 22995, 22994])).
% 79.73/52.04 tff(23003,plain,((~node10(c_e_h_2, c_m, s13, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.04 tff(23004,plain,
% 79.73/52.04 (~node10(c_e_h_2, c_m, s13, s14)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23003, 22986, 22994])).
% 79.73/52.04 tff(23005,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_2, c_m, s13, s14) | node11(c_e_h_2, c_m, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_2, c_m, s13, s14) | node11(c_e_h_2, c_m, s13, s14))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23006,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s13, s14)) | node10(c_e_h_2, c_m, s13, s14) | node11(c_e_h_2, c_m, s13, s14))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23007,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s13, s14)) | node10(c_e_h_2, c_m, s13, s14) | node11(c_e_h_2, c_m, s13, s14)),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 79.73/52.04 tff(23008,plain,
% 79.73/52.04 (node10(c_e_h_2, c_m, s13, s14) | node11(c_e_h_2, c_m, s13, s14)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23007, 193, 8985])).
% 79.73/52.04 tff(23009,plain,
% 79.73/52.04 ($false),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23008, 23004, 22993])).
% 79.73/52.04 tff(23010,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)) | node9(c_e_h_2, c_m, s13) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)), inference(lemma,lemma(discharge,[]))).
% 79.73/52.04 tff(23011,plain,
% 79.73/52.04 (node9(c_e_h_2, c_m, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23010, 22985, 22869])).
% 79.73/52.04 tff(23012,plain,
% 79.73/52.04 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[22881, 22715])).
% 79.73/52.04 tff(23013,plain,
% 79.73/52.04 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12))),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[22910, 23012])).
% 79.73/52.04 tff(23014,plain,
% 79.73/52.04 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23013, 22874, 22872])).
% 79.73/52.04 tff(23015,plain,
% 79.73/52.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23016,plain,
% 79.73/52.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23017,plain,
% 79.73/52.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13))),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 79.73/52.04 tff(23018,plain,
% 79.73/52.04 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23017, 3886, 23014])).
% 79.73/52.04 tff(23019,plain,
% 79.73/52.04 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23020,plain,
% 79.73/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23021,plain,
% 79.73/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s13)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 79.73/52.04 tff(23022,plain,
% 79.73/52.04 ($false),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23021, 238, 23018, 23011])).
% 79.73/52.04 tff(23023,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.04 tff(23024,plain,
% 79.73/52.04 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23023, 22868, 22659, 22740, 22575, 22570])).
% 79.73/52.04 tff(23025,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s13)), introduced(assumption)).
% 79.73/52.04 tff(23026,assumption,(node15(c_e_h_2, c_h, s12, s13)), introduced(assumption)).
% 79.73/52.04 tff(23027,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node15(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node15(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23028,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node15(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23029,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node15(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12)),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 79.73/52.04 tff(23030,plain,
% 79.73/52.04 ($false),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23029, 612, 21071, 23025, 23026])).
% 79.73/52.04 tff(23031,plain,((~node15(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.04 tff(23032,plain,
% 79.73/52.04 (~node15(c_e_h_2, c_h, s12, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23031, 21071, 23025])).
% 79.73/52.04 tff(23033,assumption,(node18(c_e_h_2, c_h, s12, s13)), introduced(assumption)).
% 79.73/52.04 tff(23034,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13)))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23035,plain,
% 79.73/52.04 (((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~node18(c_e_h_2, c_h, s12, s13))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13)))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23036,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~node18(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13))))),
% 79.73/52.04 inference(monotonicity,[status(thm)],[23035])).
% 79.73/52.04 tff(23037,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~node18(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13)))),
% 79.73/52.04 inference(transitivity,[status(thm)],[23036, 23034])).
% 79.73/52.04 tff(23038,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~node18(c_e_h_2, c_h, s12, s13)))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23039,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | (~node18(c_e_h_2, c_h, s12, s13))),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 79.73/52.04 tff(23040,plain,
% 79.73/52.04 ($false),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23039, 481, 21071, 23025, 23033])).
% 79.73/52.04 tff(23041,plain,((~node18(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13))), inference(lemma,lemma(discharge,[]))).
% 79.73/52.04 tff(23042,plain,
% 79.73/52.04 (~node18(c_e_h_2, c_h, s12, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23041, 21071, 23025])).
% 79.73/52.04 tff(23043,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_2, c_h, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_2, c_h, s12, s13))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23044,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_2, c_h, s12, s13))),
% 79.73/52.04 inference(quant_inst,[status(thm)],[])).
% 79.73/52.04 tff(23045,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_2, c_h, s12, s13)),
% 79.73/52.04 inference(modus_ponens,[status(thm)],[23044, 23043])).
% 79.73/52.04 tff(23046,plain,
% 79.73/52.04 (node19(c_e_h_2, c_h, s12, s13)),
% 79.73/52.04 inference(unit_resolution,[status(thm)],[23045, 494, 8278])).
% 79.73/52.04 tff(23047,plain,
% 79.73/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s12) | node18(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s12) | node18(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.73/52.04 inference(rewrite,[status(thm)],[])).
% 79.73/52.04 tff(23048,plain,
% 79.73/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s12) | node18(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.04 inference(quant_inst,[status(thm)],[])).
% 79.78/52.04 tff(23049,plain,
% 79.78/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_2, c_h, s12) | node18(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13))),
% 79.78/52.04 inference(modus_ponens,[status(thm)],[23048, 23047])).
% 79.78/52.04 tff(23050,plain,
% 79.78/52.04 (node17(c_e_h_2, c_h, s12) | node18(c_e_h_2, c_h, s12, s13)),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23049, 508, 23046])).
% 79.78/52.04 tff(23051,plain,
% 79.78/52.04 (node17(c_e_h_2, c_h, s12)),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23050, 23042])).
% 79.78/52.04 tff(23052,plain,
% 79.78/52.04 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12)))),
% 79.78/52.04 inference(rewrite,[status(thm)],[])).
% 79.78/52.04 tff(23053,plain,
% 79.78/52.04 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~node17(c_e_h_2, c_h, s12))) <=> ((~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12)))),
% 79.78/52.04 inference(rewrite,[status(thm)],[])).
% 79.78/52.04 tff(23054,plain,
% 79.78/52.04 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~node17(c_e_h_2, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12))))),
% 79.78/52.04 inference(monotonicity,[status(thm)],[23053])).
% 79.78/52.04 tff(23055,plain,
% 79.78/52.04 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~node17(c_e_h_2, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12)))),
% 79.78/52.04 inference(transitivity,[status(thm)],[23054, 23052])).
% 79.78/52.04 tff(23056,plain,
% 79.78/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~node17(c_e_h_2, c_h, s12)))),
% 79.78/52.04 inference(quant_inst,[status(thm)],[])).
% 79.78/52.04 tff(23057,plain,
% 79.78/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_h, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12))),
% 79.78/52.04 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 79.78/52.04 tff(23058,plain,
% 79.78/52.04 ((~node17(c_e_h_2, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s12))),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23057, 541, 21070])).
% 79.78/52.04 tff(23059,plain,
% 79.78/52.04 (~m_c_h_element_v_in1(c_e_h_2, c_h, s12)),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23058, 23051])).
% 79.78/52.04 tff(23060,plain,
% 79.78/52.04 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))),
% 79.78/52.04 inference(rewrite,[status(thm)],[])).
% 79.78/52.04 tff(23061,plain,
% 79.78/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))),
% 79.78/52.04 inference(quant_inst,[status(thm)],[])).
% 79.78/52.04 tff(23062,plain,
% 79.78/52.04 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12)),
% 79.78/52.04 inference(modus_ponens,[status(thm)],[23061, 23060])).
% 79.78/52.04 tff(23063,plain,
% 79.78/52.04 ((~node16(c_e_h_2, c_h, s12)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12)),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23062, 559, 21070])).
% 79.78/52.04 tff(23064,plain,
% 79.78/52.04 (~node16(c_e_h_2, c_h, s12)),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23063, 23059])).
% 79.78/52.04 tff(23065,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s12)), introduced(assumption)).
% 79.78/52.04 tff(23066,assumption,(node14(c_e_h_2, c_h, s12, s13)), introduced(assumption)).
% 79.78/52.04 tff(23067,plain,
% 79.78/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.04 inference(rewrite,[status(thm)],[])).
% 79.78/52.04 tff(23068,plain,
% 79.78/52.04 (((~node14(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.04 inference(rewrite,[status(thm)],[])).
% 79.78/52.04 tff(23069,plain,
% 79.78/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13))))),
% 79.78/52.04 inference(monotonicity,[status(thm)],[23068])).
% 79.78/52.04 tff(23070,plain,
% 79.78/52.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.04 inference(transitivity,[status(thm)],[23069, 23067])).
% 79.78/52.04 tff(23071,plain,
% 79.78/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)))),
% 79.78/52.04 inference(quant_inst,[status(thm)],[])).
% 79.78/52.04 tff(23072,plain,
% 79.78/52.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12) | (~node14(c_e_h_2, c_h, s12, s13))),
% 79.78/52.04 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 79.78/52.04 tff(23073,plain,
% 79.78/52.04 ($false),
% 79.78/52.04 inference(unit_resolution,[status(thm)],[23072, 575, 23025, 23066, 23065])).
% 79.78/52.04 tff(23074,plain,((~node14(c_e_h_2, c_h, s12, s13)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23075,plain,
% 79.78/52.05 (~node14(c_e_h_2, c_h, s12, s13)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23074, 23059, 23025])).
% 79.78/52.05 tff(23076,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23077,plain,
% 79.78/52.05 ((node16(c_e_h_2, c_h, s12) | node14(c_e_h_2, c_h, s12, s13) | node15(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13))) <=> (node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23078,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s12) | node14(c_e_h_2, c_h, s12, s13) | node15(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13))))),
% 79.78/52.05 inference(monotonicity,[status(thm)],[23077])).
% 79.78/52.05 tff(23079,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s12) | node14(c_e_h_2, c_h, s12, s13) | node15(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.05 inference(transitivity,[status(thm)],[23078, 23076])).
% 79.78/52.05 tff(23080,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s12) | node14(c_e_h_2, c_h, s12, s13) | node15(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13)))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23081,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13) | (~node19(c_e_h_2, c_h, s12, s13))),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23080, 23079])).
% 79.78/52.05 tff(23082,plain,
% 79.78/52.05 (node16(c_e_h_2, c_h, s12) | node15(c_e_h_2, c_h, s12, s13) | node14(c_e_h_2, c_h, s12, s13)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23081, 594, 23046])).
% 79.78/52.05 tff(23083,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23082, 23075, 23064, 23032])).
% 79.78/52.05 tff(23084,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_h, s13)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23085,plain,
% 79.78/52.05 (~m_c_h_element_v_out(c_e_h_2, c_h, s13)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23084, 21070, 21071])).
% 79.78/52.05 tff(23086,plain,
% 79.78/52.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23087,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23088,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)) | m_c_h_element_v_out(c_e_h_2, c_h, s13)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23087, 23086])).
% 79.78/52.05 tff(23089,plain,
% 79.78/52.05 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23088, 8, 23085])).
% 79.78/52.05 tff(23090,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)), introduced(assumption)).
% 79.78/52.05 tff(23091,assumption,(node20(c_e_h_2, c_i, s13)), introduced(assumption)).
% 79.78/52.05 tff(23092,plain,
% 79.78/52.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s13))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23093,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s13))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23094,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s13)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 79.78/52.05 tff(23095,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23094, 22, 23091, 23090])).
% 79.78/52.05 tff(23096,plain,(m_and_h_gate_v_in1(c_e_h_2, c_i, s13) | (~node20(c_e_h_2, c_i, s13))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23097,plain,
% 79.78/52.05 (~node20(c_e_h_2, c_i, s13)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23096, 23089])).
% 79.78/52.05 tff(23098,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.05 tff(23099,plain,
% 79.78/52.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23100,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23101,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 79.78/52.05 tff(23102,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23101, 7347, 22716, 23098])).
% 79.78/52.05 tff(23103,plain,((~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23104,plain,
% 79.78/52.05 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23103, 22715])).
% 79.78/52.05 tff(23105,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.05 tff(23106,assumption,(node20(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.05 tff(23107,plain,
% 79.78/52.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s12))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23108,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s12))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23109,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s12)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 79.78/52.05 tff(23110,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23109, 334, 23106, 23105])).
% 79.78/52.05 tff(23111,plain,(m_and_h_gate_v_in2(c_e_h_2, c_r, s12) | (~node20(c_e_h_2, c_r, s12))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23112,plain,
% 79.78/52.05 (~node20(c_e_h_2, c_r, s12)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23111, 23104])).
% 79.78/52.05 tff(23113,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_r, s10)), introduced(assumption)).
% 79.78/52.05 tff(23114,plain,
% 79.78/52.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23115,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23116,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23115, 23114])).
% 79.78/52.05 tff(23117,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23116, 9234, 22342, 23113])).
% 79.78/52.05 tff(23118,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)) | m_c_h_element_v_out(c_e_h_2, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23119,plain,
% 79.78/52.05 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23118, 22341])).
% 79.78/52.05 tff(23120,assumption,(node20(c_e_h_2, c_r, s10)), introduced(assumption)).
% 79.78/52.05 tff(23121,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_r, s10)), introduced(assumption)).
% 79.78/52.05 tff(23122,plain,
% 79.78/52.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s10))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23123,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s10))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23124,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s10)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23123, 23122])).
% 79.78/52.05 tff(23125,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23124, 22, 23121, 23120])).
% 79.78/52.05 tff(23126,plain,((~node20(c_e_h_2, c_r, s10)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23127,plain,
% 79.78/52.05 (~node20(c_e_h_2, c_r, s10)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23126, 23119])).
% 79.78/52.05 tff(23128,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23129,assumption,(~node20(c_e_h_2, c_r, s10)), introduced(assumption)).
% 79.78/52.05 tff(23130,assumption,(node21(c_e_h_2, c_r, s10, s11)), introduced(assumption)).
% 79.78/52.05 tff(23131,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node21(c_e_h_2, c_r, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node21(c_e_h_2, c_r, s10, s11)))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23132,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node21(c_e_h_2, c_r, s10, s11)))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23133,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node21(c_e_h_2, c_r, s10, s11))),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 79.78/52.05 tff(23134,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23133, 348, 23130, 23129, 23128])).
% 79.78/52.05 tff(23135,plain,((~node21(c_e_h_2, c_r, s10, s11)) | node20(c_e_h_2, c_r, s10) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23136,plain,
% 79.78/52.05 (~node21(c_e_h_2, c_r, s10, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23135, 23128, 23129])).
% 79.78/52.05 tff(23137,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_r, s10, s11) | node22(c_e_h_2, c_r, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_r, s10, s11) | node22(c_e_h_2, c_r, s10, s11))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23138,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_2, c_r, s10, s11) | node22(c_e_h_2, c_r, s10, s11))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23139,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_2, c_r, s10, s11) | node22(c_e_h_2, c_r, s10, s11)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 79.78/52.05 tff(23140,plain,
% 79.78/52.05 (node21(c_e_h_2, c_r, s10, s11) | node22(c_e_h_2, c_r, s10, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23139, 383, 8015])).
% 79.78/52.05 tff(23141,plain,
% 79.78/52.05 (node22(c_e_h_2, c_r, s10, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23140, 23136])).
% 79.78/52.05 tff(23142,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node22(c_e_h_2, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node22(c_e_h_2, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23143,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node22(c_e_h_2, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23144,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | (~node22(c_e_h_2, c_r, s10, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 79.78/52.05 tff(23145,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23144, 437, 23141, 12599, 23128])).
% 79.78/52.05 tff(23146,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s10) | node20(c_e_h_2, c_r, s10)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23147,plain,
% 79.78/52.05 (~m_and_h_gate_v_out(c_e_h_2, c_r, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23146, 23127, 12598])).
% 79.78/52.05 tff(23148,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23149,plain,
% 79.78/52.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23150,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23151,plain,
% 79.78/52.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 79.78/52.05 tff(23152,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23151, 7347, 20498, 23148])).
% 79.78/52.05 tff(23153,plain,((~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23154,plain,
% 79.78/52.05 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23153, 20496])).
% 79.78/52.05 tff(23155,assumption,(~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23156,assumption,(node20(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23157,plain,
% 79.78/52.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s11))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23158,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s11))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23159,plain,
% 79.78/52.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s11)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23158, 23157])).
% 79.78/52.05 tff(23160,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23159, 334, 23156, 23155])).
% 79.78/52.05 tff(23161,plain,((~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23162,plain,
% 79.78/52.05 (~node20(c_e_h_2, c_r, s11)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23161, 23154])).
% 79.78/52.05 tff(23163,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.05 tff(23164,assumption,(~node20(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23165,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s11)), introduced(assumption)).
% 79.78/52.05 tff(23166,assumption,(node22(c_e_h_2, c_r, s11, s12)), introduced(assumption)).
% 79.78/52.05 tff(23167,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node22(c_e_h_2, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node22(c_e_h_2, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23168,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node22(c_e_h_2, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23169,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node22(c_e_h_2, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23168, 23167])).
% 79.78/52.05 tff(23170,plain,
% 79.78/52.05 ($false),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23169, 437, 23165, 23166, 23163])).
% 79.78/52.05 tff(23171,plain,((~node22(c_e_h_2, c_r, s11, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.05 tff(23172,plain,
% 79.78/52.05 (~node22(c_e_h_2, c_r, s11, s12)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23171, 23163, 23165])).
% 79.78/52.05 tff(23173,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_r, s11, s12) | node22(c_e_h_2, c_r, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_r, s11, s12) | node22(c_e_h_2, c_r, s11, s12))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23174,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_2, c_r, s11, s12) | node22(c_e_h_2, c_r, s11, s12))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23175,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_2, c_r, s11, s12) | node22(c_e_h_2, c_r, s11, s12)),
% 79.78/52.05 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 79.78/52.05 tff(23176,plain,
% 79.78/52.05 (node21(c_e_h_2, c_r, s11, s12) | node22(c_e_h_2, c_r, s11, s12)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23175, 383, 8210])).
% 79.78/52.05 tff(23177,plain,
% 79.78/52.05 (node21(c_e_h_2, c_r, s11, s12)),
% 79.78/52.05 inference(unit_resolution,[status(thm)],[23176, 23172])).
% 79.78/52.05 tff(23178,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12)))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23179,plain,
% 79.78/52.05 ((node20(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node21(c_e_h_2, c_r, s11, s12))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12)))),
% 79.78/52.05 inference(rewrite,[status(thm)],[])).
% 79.78/52.05 tff(23180,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node21(c_e_h_2, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12))))),
% 79.78/52.05 inference(monotonicity,[status(thm)],[23179])).
% 79.78/52.05 tff(23181,plain,
% 79.78/52.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node21(c_e_h_2, c_r, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12)))),
% 79.78/52.05 inference(transitivity,[status(thm)],[23180, 23178])).
% 79.78/52.05 tff(23182,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | (~node21(c_e_h_2, c_r, s11, s12)))),
% 79.78/52.05 inference(quant_inst,[status(thm)],[])).
% 79.78/52.05 tff(23183,plain,
% 79.78/52.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | (~node21(c_e_h_2, c_r, s11, s12))),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 79.78/52.06 tff(23184,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23183, 348, 23177, 23164, 23163])).
% 79.78/52.06 tff(23185,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s12)) | node20(c_e_h_2, c_r, s11) | m_and_h_gate_v_out(c_e_h_2, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23186,plain,
% 79.78/52.06 (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23185, 23162, 23147])).
% 79.78/52.06 tff(23187,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.06 tff(23188,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s13)), introduced(assumption)).
% 79.78/52.06 tff(23189,assumption,(~node20(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.78/52.06 tff(23190,assumption,(node21(c_e_h_2, c_r, s12, s13)), introduced(assumption)).
% 79.78/52.06 tff(23191,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23192,plain,
% 79.78/52.06 ((node20(c_e_h_2, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23193,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12)))),
% 79.78/52.06 inference(monotonicity,[status(thm)],[23192])).
% 79.78/52.06 tff(23194,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12))),
% 79.78/52.06 inference(transitivity,[status(thm)],[23193, 23191])).
% 79.78/52.06 tff(23195,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23196,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node21(c_e_h_2, c_r, s12, s13)) | node20(c_e_h_2, c_r, s12)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 79.78/52.06 tff(23197,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23196, 348, 23190, 23188, 23189])).
% 79.78/52.06 tff(23198,plain,((~node21(c_e_h_2, c_r, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | node20(c_e_h_2, c_r, s12)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23199,plain,
% 79.78/52.06 (~node21(c_e_h_2, c_r, s12, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23198, 23188, 23189])).
% 79.78/52.06 tff(23200,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_2, c_r, s12, s13) | node22(c_e_h_2, c_r, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_2, c_r, s12, s13) | node22(c_e_h_2, c_r, s12, s13))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23201,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_2, c_r, s12, s13) | node22(c_e_h_2, c_r, s12, s13))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23202,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_2, c_r, s12, s13) | node22(c_e_h_2, c_r, s12, s13)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23201, 23200])).
% 79.78/52.06 tff(23203,plain,
% 79.78/52.06 (node21(c_e_h_2, c_r, s12, s13) | node22(c_e_h_2, c_r, s12, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23202, 383, 8278])).
% 79.78/52.06 tff(23204,plain,
% 79.78/52.06 (node22(c_e_h_2, c_r, s12, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23203, 23199])).
% 79.78/52.06 tff(23205,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node22(c_e_h_2, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node22(c_e_h_2, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23206,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node22(c_e_h_2, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23207,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | (~node22(c_e_h_2, c_r, s12, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23206, 23205])).
% 79.78/52.06 tff(23208,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23207, 437, 23204, 23188, 23187])).
% 79.78/52.06 tff(23209,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12) | node20(c_e_h_2, c_r, s12)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23210,plain,
% 79.78/52.06 (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23209, 23186, 23112])).
% 79.78/52.06 tff(23211,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s13)), introduced(assumption)).
% 79.78/52.06 tff(23212,plain,
% 79.78/52.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23213,plain,
% 79.78/52.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s13))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23214,plain,
% 79.78/52.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23213, 23212])).
% 79.78/52.06 tff(23215,plain,
% 79.78/52.06 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23214, 9234, 22781])).
% 79.78/52.06 tff(23216,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_r, s13)), introduced(assumption)).
% 79.78/52.06 tff(23217,assumption,(node20(c_e_h_2, c_r, s13)), introduced(assumption)).
% 79.78/52.06 tff(23218,plain,
% 79.78/52.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s13))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23219,plain,
% 79.78/52.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s13))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23220,plain,
% 79.78/52.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s13)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23219, 23218])).
% 79.78/52.06 tff(23221,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23220, 22, 23217, 23216])).
% 79.78/52.06 tff(23222,plain,(m_and_h_gate_v_in1(c_e_h_2, c_r, s13) | (~node20(c_e_h_2, c_r, s13))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23223,plain,
% 79.78/52.06 (~node20(c_e_h_2, c_r, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23222, 23215])).
% 79.78/52.06 tff(23224,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s14)), introduced(assumption)).
% 79.78/52.06 tff(23225,assumption,(~node20(c_e_h_2, c_r, s13)), introduced(assumption)).
% 79.78/52.06 tff(23226,assumption,(node21(c_e_h_2, c_r, s13, s14)), introduced(assumption)).
% 79.78/52.06 tff(23227,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node21(c_e_h_2, c_r, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node21(c_e_h_2, c_r, s13, s14)))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23228,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node21(c_e_h_2, c_r, s13, s14)))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23229,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node21(c_e_h_2, c_r, s13, s14))),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23228, 23227])).
% 79.78/52.06 tff(23230,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23229, 348, 23226, 23225, 23224])).
% 79.78/52.06 tff(23231,plain,((~node21(c_e_h_2, c_r, s13, s14)) | node20(c_e_h_2, c_r, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23232,plain,
% 79.78/52.06 (~node21(c_e_h_2, c_r, s13, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23231, 23224, 23225])).
% 79.78/52.06 tff(23233,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_2, c_r, s13, s14) | node22(c_e_h_2, c_r, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_2, c_r, s13, s14) | node22(c_e_h_2, c_r, s13, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23234,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_2, c_r, s13, s14) | node22(c_e_h_2, c_r, s13, s14))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23235,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_2, c_r, s13, s14) | node22(c_e_h_2, c_r, s13, s14)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 79.78/52.06 tff(23236,plain,
% 79.78/52.06 (node21(c_e_h_2, c_r, s13, s14) | node22(c_e_h_2, c_r, s13, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23235, 383, 8985])).
% 79.78/52.06 tff(23237,plain,
% 79.78/52.06 (node22(c_e_h_2, c_r, s13, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23236, 23232])).
% 79.78/52.06 tff(23238,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node22(c_e_h_2, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node22(c_e_h_2, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23239,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node22(c_e_h_2, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23240,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | (~node22(c_e_h_2, c_r, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23239, 23238])).
% 79.78/52.06 tff(23241,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23240, 437, 23237, 23211, 23224])).
% 79.78/52.06 tff(23242,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13) | node20(c_e_h_2, c_r, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23243,plain,
% 79.78/52.06 (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23242, 23223, 23211])).
% 79.78/52.06 tff(23244,plain,
% 79.78/52.06 (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[22778, 22772])).
% 79.78/52.06 tff(23245,plain,
% 79.78/52.06 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[22862, 22781, 23244])).
% 79.78/52.06 tff(23246,plain,
% 79.78/52.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23247,plain,
% 79.78/52.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23248,plain,
% 79.78/52.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)) | m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23247, 23246])).
% 79.78/52.06 tff(23249,plain,
% 79.78/52.06 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23248, 9234, 23245])).
% 79.78/52.06 tff(23250,plain,
% 79.78/52.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23251,plain,
% 79.78/52.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s14))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23252,plain,
% 79.78/52.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s14)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 79.78/52.06 tff(23253,plain,
% 79.78/52.06 (~node20(c_e_h_2, c_r, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23252, 22, 23249])).
% 79.78/52.06 tff(23254,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s16)), introduced(assumption)).
% 79.78/52.06 tff(23255,assumption,(~node20(c_e_h_2, c_i, s13)), introduced(assumption)).
% 79.78/52.06 tff(23256,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.78/52.06 tff(23257,plain,
% 79.78/52.06 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[22862, 23244, 22781])).
% 79.78/52.06 tff(23258,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.06 tff(23259,assumption,(node18(c_e_h_2, c_e, s14, s15)), introduced(assumption)).
% 79.78/52.06 tff(23260,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23261,plain,
% 79.78/52.06 (((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~node18(c_e_h_2, c_e, s14, s15))) <=> (m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23262,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~node18(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15))))),
% 79.78/52.06 inference(monotonicity,[status(thm)],[23261])).
% 79.78/52.06 tff(23263,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~node18(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.06 inference(transitivity,[status(thm)],[23262, 23260])).
% 79.78/52.06 tff(23264,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~node18(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23265,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node18(c_e_h_2, c_e, s14, s15))),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 79.78/52.06 tff(23266,plain,
% 79.78/52.06 ($false),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23265, 481, 23258, 23256, 23259])).
% 79.78/52.06 tff(23267,plain,((~node18(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.06 tff(23268,plain,
% 79.78/52.06 (~node18(c_e_h_2, c_e, s14, s15)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23267, 23256, 23258])).
% 79.78/52.06 tff(23269,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_2, c_e, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_2, c_e, s14, s15))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23270,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_2, c_e, s14, s15))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23271,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_2, c_e, s14, s15)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23270, 23269])).
% 79.78/52.06 tff(23272,plain,
% 79.78/52.06 (node19(c_e_h_2, c_e, s14, s15)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23271, 494, 18664])).
% 79.78/52.06 tff(23273,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23274,plain,
% 79.78/52.06 ((node17(c_e_h_2, c_e, s14) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15))) <=> (node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23275,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s14) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14)))),
% 79.78/52.06 inference(monotonicity,[status(thm)],[23274])).
% 79.78/52.06 tff(23276,plain,
% 79.78/52.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s14) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(transitivity,[status(thm)],[23275, 23273])).
% 79.78/52.06 tff(23277,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s14) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.06 inference(quant_inst,[status(thm)],[])).
% 79.78/52.06 tff(23278,plain,
% 79.78/52.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node17(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 79.78/52.06 tff(23279,plain,
% 79.78/52.06 (node18(c_e_h_2, c_e, s14, s15) | node17(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23278, 508, 23272])).
% 79.78/52.06 tff(23280,plain,
% 79.78/52.06 (node17(c_e_h_2, c_e, s14)),
% 79.78/52.06 inference(unit_resolution,[status(thm)],[23279, 23268])).
% 79.78/52.06 tff(23281,assumption,(node17(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.06 tff(23282,assumption,(node16(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.06 tff(23283,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.06 tff(23284,plain,
% 79.78/52.06 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23285,plain,
% 79.78/52.06 ((m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14))) <=> ((~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.06 inference(rewrite,[status(thm)],[])).
% 79.78/52.06 tff(23286,plain,
% 79.78/52.06 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(monotonicity,[status(thm)],[23285])).
% 79.78/52.07 tff(23287,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(transitivity,[status(thm)],[23286, 23284])).
% 79.78/52.07 tff(23288,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23289,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 79.78/52.07 tff(23290,plain,
% 79.78/52.07 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23289, 1172, 23281])).
% 79.78/52.07 tff(23291,plain,
% 79.78/52.07 (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23290, 23283])).
% 79.78/52.07 tff(23292,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23293,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23294,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s14)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 79.78/52.07 tff(23295,plain,
% 79.78/52.07 (m_c_h_element_v_in1(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23294, 559, 23282])).
% 79.78/52.07 tff(23296,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23295, 23291, 23283])).
% 79.78/52.07 tff(23297,plain,(m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node16(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23298,plain,
% 79.78/52.07 (m_c_h_element_v_in1(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23297, 23282, 23281])).
% 79.78/52.07 tff(23299,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23300,plain,
% 79.78/52.07 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~node17(c_e_h_2, c_e, s14))) <=> ((~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23301,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~node17(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))))),
% 79.78/52.07 inference(monotonicity,[status(thm)],[23300])).
% 79.78/52.07 tff(23302,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~node17(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(transitivity,[status(thm)],[23301, 23299])).
% 79.78/52.07 tff(23303,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~node17(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23304,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s14)) | m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23303, 23302])).
% 79.78/52.07 tff(23305,plain,
% 79.78/52.07 (m_c_h_element_v_in2(c_e_h_2, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23304, 541, 23281])).
% 79.78/52.07 tff(23306,plain,
% 79.78/52.07 (m_c_h_element_v_in2(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23305, 23298])).
% 79.78/52.07 tff(23307,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23308,plain,
% 79.78/52.07 (((~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14))) <=> ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23309,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))))),
% 79.78/52.07 inference(monotonicity,[status(thm)],[23308])).
% 79.78/52.07 tff(23310,plain,
% 79.78/52.07 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(transitivity,[status(thm)],[23309, 23307])).
% 79.78/52.07 tff(23311,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23312,plain,
% 79.78/52.07 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~node16(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23311, 23310])).
% 79.78/52.07 tff(23313,plain,
% 79.78/52.07 ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23312, 1192, 23282])).
% 79.78/52.07 tff(23314,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23313, 23306, 23298])).
% 79.78/52.07 tff(23315,plain,((~node16(c_e_h_2, c_e, s14)) | (~node17(c_e_h_2, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23316,plain,
% 79.78/52.07 (~node16(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23315, 23280])).
% 79.78/52.07 tff(23317,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.07 tff(23318,plain,
% 79.78/52.07 ((~node17(c_e_h_2, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23304, 541, 23317])).
% 79.78/52.07 tff(23319,plain,
% 79.78/52.07 (~m_c_h_element_v_in1(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23318, 23280])).
% 79.78/52.07 tff(23320,assumption,(node14(c_e_h_2, c_e, s14, s15)), introduced(assumption)).
% 79.78/52.07 tff(23321,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23322,plain,
% 79.78/52.07 (((~node14(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23323,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15))))),
% 79.78/52.07 inference(monotonicity,[status(thm)],[23322])).
% 79.78/52.07 tff(23324,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.07 inference(transitivity,[status(thm)],[23323, 23321])).
% 79.78/52.07 tff(23325,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23326,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14) | (~node14(c_e_h_2, c_e, s14, s15))),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 79.78/52.07 tff(23327,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23326, 575, 23256, 23320, 23283])).
% 79.78/52.07 tff(23328,plain,((~node14(c_e_h_2, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23329,plain,
% 79.78/52.07 (~node14(c_e_h_2, c_e, s14, s15)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23328, 23319, 23256])).
% 79.78/52.07 tff(23330,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23331,plain,
% 79.78/52.07 ((node16(c_e_h_2, c_e, s14) | node14(c_e_h_2, c_e, s14, s15) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15))) <=> (node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23332,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s14) | node14(c_e_h_2, c_e, s14, s15) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14)))),
% 79.78/52.07 inference(monotonicity,[status(thm)],[23331])).
% 79.78/52.07 tff(23333,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s14) | node14(c_e_h_2, c_e, s14, s15) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(transitivity,[status(thm)],[23332, 23330])).
% 79.78/52.07 tff(23334,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s14) | node14(c_e_h_2, c_e, s14, s15) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23335,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_2, c_e, s14, s15) | (~node19(c_e_h_2, c_e, s14, s15)) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23334, 23333])).
% 79.78/52.07 tff(23336,plain,
% 79.78/52.07 (node15(c_e_h_2, c_e, s14, s15) | node14(c_e_h_2, c_e, s14, s15) | node16(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23335, 594, 23272])).
% 79.78/52.07 tff(23337,plain,
% 79.78/52.07 (node15(c_e_h_2, c_e, s14, s15)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23336, 23329, 23316])).
% 79.78/52.07 tff(23338,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node15(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node15(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23339,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node15(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23340,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | (~node15(c_e_h_2, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 79.78/52.07 tff(23341,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23340, 612, 23258, 23256, 23337])).
% 79.78/52.07 tff(23342,plain,((~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23343,plain,
% 79.78/52.07 (m_c_h_element_v_in2(c_e_h_2, c_e, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23342, 23257, 23256])).
% 79.78/52.07 tff(23344,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s14)), introduced(assumption)).
% 79.78/52.07 tff(23345,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s14)), introduced(assumption)).
% 79.78/52.07 tff(23346,plain,
% 79.78/52.07 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23347,plain,
% 79.78/52.07 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23348,plain,
% 79.78/52.07 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 79.78/52.07 tff(23349,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23348, 4785, 23345, 23344])).
% 79.78/52.07 tff(23350,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23351,plain,
% 79.78/52.07 (m_and_h_gate_v_out(c_e_h_2, c_i, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23350, 23343])).
% 79.78/52.07 tff(23352,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s14)), introduced(assumption)).
% 79.78/52.07 tff(23353,assumption,(node22(c_e_h_2, c_i, s13, s14)), introduced(assumption)).
% 79.78/52.07 tff(23354,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node22(c_e_h_2, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node22(c_e_h_2, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23355,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node22(c_e_h_2, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23356,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node22(c_e_h_2, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 79.78/52.07 tff(23357,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23356, 437, 23353, 23352, 22772])).
% 79.78/52.07 tff(23358,plain,((~node22(c_e_h_2, c_i, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23359,plain,
% 79.78/52.07 (~node22(c_e_h_2, c_i, s13, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23358, 23351, 22772])).
% 79.78/52.07 tff(23360,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_2, c_i, s13, s14) | node22(c_e_h_2, c_i, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_2, c_i, s13, s14) | node22(c_e_h_2, c_i, s13, s14))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23361,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_2, c_i, s13, s14) | node22(c_e_h_2, c_i, s13, s14))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23362,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_2, c_i, s13, s14) | node22(c_e_h_2, c_i, s13, s14)),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23361, 23360])).
% 79.78/52.07 tff(23363,plain,
% 79.78/52.07 (node21(c_e_h_2, c_i, s13, s14) | node22(c_e_h_2, c_i, s13, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23362, 383, 8985])).
% 79.78/52.07 tff(23364,plain,
% 79.78/52.07 (node21(c_e_h_2, c_i, s13, s14)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23363, 23359])).
% 79.78/52.07 tff(23365,plain,
% 79.78/52.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node21(c_e_h_2, c_i, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node21(c_e_h_2, c_i, s13, s14)))),
% 79.78/52.07 inference(rewrite,[status(thm)],[])).
% 79.78/52.07 tff(23366,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node21(c_e_h_2, c_i, s13, s14)))),
% 79.78/52.07 inference(quant_inst,[status(thm)],[])).
% 79.78/52.07 tff(23367,plain,
% 79.78/52.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s14)) | (~node21(c_e_h_2, c_i, s13, s14))),
% 79.78/52.07 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 79.78/52.07 tff(23368,plain,
% 79.78/52.07 ($false),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23367, 348, 23364, 23351, 23255])).
% 79.78/52.07 tff(23369,plain,(m_and_h_gate_v_out(c_e_h_2, c_i, s13) | node20(c_e_h_2, c_i, s13) | (~m_c_h_element_v_out(c_e_h_2, c_e, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.07 tff(23370,plain,
% 79.78/52.07 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.78/52.07 inference(unit_resolution,[status(thm)],[23369, 22781, 22772, 23255])).
% 79.78/52.07 tff(23371,plain,
% 79.78/52.07 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23372,plain,
% 79.78/52.08 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23373,plain,
% 79.78/52.08 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23372, 23371])).
% 79.78/52.08 tff(23374,plain,
% 79.78/52.08 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23373, 9234, 23370])).
% 79.78/52.08 tff(23375,plain,
% 79.78/52.08 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s15))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23376,plain,
% 79.78/52.08 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s15))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23377,plain,
% 79.78/52.08 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s15)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23376, 23375])).
% 79.78/52.08 tff(23378,plain,
% 79.78/52.08 (~node20(c_e_h_2, c_r, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23377, 22, 23374])).
% 79.78/52.08 tff(23379,assumption,(~node20(c_e_h_2, c_r, s15)), introduced(assumption)).
% 79.78/52.08 tff(23380,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s15)), introduced(assumption)).
% 79.78/52.08 tff(23381,assumption,(node22(c_e_h_2, c_r, s15, s16)), introduced(assumption)).
% 79.78/52.08 tff(23382,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node22(c_e_h_2, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node22(c_e_h_2, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23383,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node22(c_e_h_2, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23384,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node22(c_e_h_2, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 79.78/52.08 tff(23385,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23384, 437, 23380, 23254, 23381])).
% 79.78/52.08 tff(23386,plain,((~node22(c_e_h_2, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23387,plain,
% 79.78/52.08 (~node22(c_e_h_2, c_r, s15, s16)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23386, 23254, 23380])).
% 79.78/52.08 tff(23388,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_2, c_r, s15, s16) | node22(c_e_h_2, c_r, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_2, c_r, s15, s16) | node22(c_e_h_2, c_r, s15, s16))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23389,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_2, c_r, s15, s16) | node22(c_e_h_2, c_r, s15, s16))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23390,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_2, c_r, s15, s16) | node22(c_e_h_2, c_r, s15, s16)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 79.78/52.08 tff(23391,plain,
% 79.78/52.08 (node21(c_e_h_2, c_r, s15, s16) | node22(c_e_h_2, c_r, s15, s16)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23390, 383, 21999])).
% 79.78/52.08 tff(23392,plain,
% 79.78/52.08 (node21(c_e_h_2, c_r, s15, s16)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23391, 23387])).
% 79.78/52.08 tff(23393,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23394,plain,
% 79.78/52.08 ((node20(c_e_h_2, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node21(c_e_h_2, c_r, s15, s16))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23395,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node21(c_e_h_2, c_r, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16))))),
% 79.78/52.08 inference(monotonicity,[status(thm)],[23394])).
% 79.78/52.08 tff(23396,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node21(c_e_h_2, c_r, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16)))),
% 79.78/52.08 inference(transitivity,[status(thm)],[23395, 23393])).
% 79.78/52.08 tff(23397,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | (~node21(c_e_h_2, c_r, s15, s16)))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23398,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | (~node21(c_e_h_2, c_r, s15, s16))),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 79.78/52.08 tff(23399,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23398, 348, 23254, 23392, 23379])).
% 79.78/52.08 tff(23400,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | node20(c_e_h_2, c_r, s15) | m_and_h_gate_v_out(c_e_h_2, c_r, s15)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23401,plain,
% 79.78/52.08 (m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23400, 23378, 23254])).
% 79.78/52.08 tff(23402,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s15)), introduced(assumption)).
% 79.78/52.08 tff(23403,assumption,(~node20(c_e_h_2, c_r, s14)), introduced(assumption)).
% 79.78/52.08 tff(23404,assumption,(node21(c_e_h_2, c_r, s14, s15)), introduced(assumption)).
% 79.78/52.08 tff(23405,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23406,plain,
% 79.78/52.08 ((node20(c_e_h_2, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node21(c_e_h_2, c_r, s14, s15))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23407,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node21(c_e_h_2, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15))))),
% 79.78/52.08 inference(monotonicity,[status(thm)],[23406])).
% 79.78/52.08 tff(23408,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node21(c_e_h_2, c_r, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15)))),
% 79.78/52.08 inference(transitivity,[status(thm)],[23407, 23405])).
% 79.78/52.08 tff(23409,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node21(c_e_h_2, c_r, s14, s15)))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23410,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | node20(c_e_h_2, c_r, s14) | (~node21(c_e_h_2, c_r, s14, s15))),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 79.78/52.08 tff(23411,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23410, 348, 23404, 23403, 23402])).
% 79.78/52.08 tff(23412,plain,((~node21(c_e_h_2, c_r, s14, s15)) | node20(c_e_h_2, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23413,plain,
% 79.78/52.08 (~node21(c_e_h_2, c_r, s14, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23412, 23402, 23403])).
% 79.78/52.08 tff(23414,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_2, c_r, s14, s15) | node22(c_e_h_2, c_r, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_2, c_r, s14, s15) | node22(c_e_h_2, c_r, s14, s15))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23415,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_2, c_r, s14, s15) | node22(c_e_h_2, c_r, s14, s15))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23416,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_2, c_r, s14, s15) | node22(c_e_h_2, c_r, s14, s15)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 79.78/52.08 tff(23417,plain,
% 79.78/52.08 (node21(c_e_h_2, c_r, s14, s15) | node22(c_e_h_2, c_r, s14, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23416, 383, 18664])).
% 79.78/52.08 tff(23418,plain,
% 79.78/52.08 (node22(c_e_h_2, c_r, s14, s15)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23417, 23413])).
% 79.78/52.08 tff(23419,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s14)), introduced(assumption)).
% 79.78/52.08 tff(23420,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node22(c_e_h_2, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node22(c_e_h_2, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23421,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node22(c_e_h_2, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23422,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | (~node22(c_e_h_2, c_r, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 79.78/52.08 tff(23423,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23422, 437, 23419, 23418, 23402])).
% 79.78/52.08 tff(23424,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14) | node20(c_e_h_2, c_r, s14)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23425,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23424, 23401, 23253, 23243])).
% 79.78/52.08 tff(23426,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13) | m_and_h_gate_v_out(c_e_h_2, c_i, s13) | node20(c_e_h_2, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23427,plain,
% 79.78/52.08 (m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)) | m_and_h_gate_v_out(c_e_h_2, c_i, s13) | node20(c_e_h_2, c_i, s13)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23426, 23210])).
% 79.78/52.08 tff(23428,plain,
% 79.78/52.08 (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23427, 22565, 22771, 23097])).
% 79.78/52.08 tff(23429,plain,
% 79.78/52.08 (~m_c_h_element_v_out(c_e_h_2, c_h, s13)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23084, 21071, 21070])).
% 79.78/52.08 tff(23430,plain,
% 79.78/52.08 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s13)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23088, 8, 23429])).
% 79.78/52.08 tff(23431,plain,
% 79.78/52.08 (~node20(c_e_h_2, c_i, s13)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23094, 22, 23430])).
% 79.78/52.08 tff(23432,assumption,(m_c_h_element_v_out(c_e_h_2, c_h, s14)), introduced(assumption)).
% 79.78/52.08 tff(23433,assumption,(~m_c_h_element_v_out(c_e_h_2, c_h, s13)), introduced(assumption)).
% 79.78/52.08 tff(23434,assumption,(node15(c_e_h_2, c_h, s13, s14)), introduced(assumption)).
% 79.78/52.08 tff(23435,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node15(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node15(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23436,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node15(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23437,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node15(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13)),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 79.78/52.08 tff(23438,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23437, 612, 23432, 23433, 23434])).
% 79.78/52.08 tff(23439,plain,((~node15(c_e_h_2, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23440,plain,
% 79.78/52.08 (~node15(c_e_h_2, c_h, s13, s14)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23439, 23433, 23432])).
% 79.78/52.08 tff(23441,assumption,(node18(c_e_h_2, c_h, s13, s14)), introduced(assumption)).
% 79.78/52.08 tff(23442,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23443,plain,
% 79.78/52.08 (((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~node18(c_e_h_2, c_h, s13, s14))) <=> (m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23444,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~node18(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14))))),
% 79.78/52.08 inference(monotonicity,[status(thm)],[23443])).
% 79.78/52.08 tff(23445,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~node18(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.08 inference(transitivity,[status(thm)],[23444, 23442])).
% 79.78/52.08 tff(23446,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~node18(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.08 inference(quant_inst,[status(thm)],[])).
% 79.78/52.08 tff(23447,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | (~node18(c_e_h_2, c_h, s13, s14))),
% 79.78/52.08 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 79.78/52.08 tff(23448,plain,
% 79.78/52.08 ($false),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23447, 481, 23432, 23433, 23441])).
% 79.78/52.08 tff(23449,plain,((~node18(c_e_h_2, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.08 tff(23450,plain,
% 79.78/52.08 (~node18(c_e_h_2, c_h, s13, s14)),
% 79.78/52.08 inference(unit_resolution,[status(thm)],[23449, 23433, 23432])).
% 79.78/52.08 tff(23451,plain,
% 79.78/52.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_2, c_h, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_2, c_h, s13, s14))),
% 79.78/52.08 inference(rewrite,[status(thm)],[])).
% 79.78/52.08 tff(23452,plain,
% 79.78/52.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_2, c_h, s13, s14))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23453,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_2, c_h, s13, s14)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23452, 23451])).
% 79.78/52.09 tff(23454,plain,
% 79.78/52.09 (node19(c_e_h_2, c_h, s13, s14)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23453, 494, 8985])).
% 79.78/52.09 tff(23455,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23456,plain,
% 79.78/52.09 ((node17(c_e_h_2, c_h, s13) | node18(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14))) <=> ((~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23457,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s13) | node18(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23456])).
% 79.78/52.09 tff(23458,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s13) | node18(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23457, 23455])).
% 79.78/52.09 tff(23459,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_h, s13) | node18(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23460,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_h, s13, s14)) | node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23459, 23458])).
% 79.78/52.09 tff(23461,plain,
% 79.78/52.09 (node18(c_e_h_2, c_h, s13, s14) | node17(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23460, 508, 23454])).
% 79.78/52.09 tff(23462,plain,
% 79.78/52.09 (node17(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23461, 23450])).
% 79.78/52.09 tff(23463,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23464,plain,
% 79.78/52.09 (((~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~node17(c_e_h_2, c_h, s13))) <=> (m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23465,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~node17(c_e_h_2, c_h, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13))))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23464])).
% 79.78/52.09 tff(23466,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~node17(c_e_h_2, c_h, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23465, 23463])).
% 79.78/52.09 tff(23467,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~node17(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23468,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23467, 23466])).
% 79.78/52.09 tff(23469,plain,
% 79.78/52.09 ((~m_c_h_element_v_in1(c_e_h_2, c_h, s13)) | (~node17(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23468, 541, 21061])).
% 79.78/52.09 tff(23470,plain,
% 79.78/52.09 (~m_c_h_element_v_in1(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23469, 23462])).
% 79.78/52.09 tff(23471,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_h, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23472,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23473,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23472, 23471])).
% 79.78/52.09 tff(23474,plain,
% 79.78/52.09 ((~node16(c_e_h_2, c_h, s13)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23473, 559, 21061])).
% 79.78/52.09 tff(23475,plain,
% 79.78/52.09 (~node16(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23474, 23470])).
% 79.78/52.09 tff(23476,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_h, s13)), introduced(assumption)).
% 79.78/52.09 tff(23477,assumption,(node14(c_e_h_2, c_h, s13, s14)), introduced(assumption)).
% 79.78/52.09 tff(23478,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23479,plain,
% 79.78/52.09 (((~node14(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23480,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14))))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23479])).
% 79.78/52.09 tff(23481,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23480, 23478])).
% 79.78/52.09 tff(23482,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23483,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13) | (~node14(c_e_h_2, c_h, s13, s14))),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23482, 23481])).
% 79.78/52.09 tff(23484,plain,
% 79.78/52.09 ($false),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23483, 575, 23432, 23477, 23476])).
% 79.78/52.09 tff(23485,plain,((~node14(c_e_h_2, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in1(c_e_h_2, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.09 tff(23486,plain,
% 79.78/52.09 (~node14(c_e_h_2, c_h, s13, s14)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23485, 23470, 23432])).
% 79.78/52.09 tff(23487,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23488,plain,
% 79.78/52.09 ((node16(c_e_h_2, c_h, s13) | node14(c_e_h_2, c_h, s13, s14) | node15(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14))) <=> (node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23489,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s13) | node14(c_e_h_2, c_h, s13, s14) | node15(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13)))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23488])).
% 79.78/52.09 tff(23490,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s13) | node14(c_e_h_2, c_h, s13, s14) | node15(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23489, 23487])).
% 79.78/52.09 tff(23491,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_h, s13) | node14(c_e_h_2, c_h, s13, s14) | node15(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23492,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_2, c_h, s13, s14) | (~node19(c_e_h_2, c_h, s13, s14)) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 79.78/52.09 tff(23493,plain,
% 79.78/52.09 (node14(c_e_h_2, c_h, s13, s14) | node15(c_e_h_2, c_h, s13, s14) | node16(c_e_h_2, c_h, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23492, 594, 23454])).
% 79.78/52.09 tff(23494,plain,
% 79.78/52.09 ($false),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23493, 23486, 23475, 23440])).
% 79.78/52.09 tff(23495,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s13) | (~m_c_h_element_v_out(c_e_h_2, c_h, s14)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.09 tff(23496,plain,
% 79.78/52.09 (~m_c_h_element_v_out(c_e_h_2, c_h, s14)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23495, 23429, 21061])).
% 79.78/52.09 tff(23497,plain,
% 79.78/52.09 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s14))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23498,plain,
% 79.78/52.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_i, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s14))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23499,plain,
% 79.78/52.09 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_i, s14)) | m_c_h_element_v_out(c_e_h_2, c_h, s14)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23498, 23497])).
% 79.78/52.09 tff(23500,plain,
% 79.78/52.09 (~m_and_h_gate_v_in1(c_e_h_2, c_i, s14)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23499, 8, 23496])).
% 79.78/52.09 tff(23501,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s14))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23502,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s14))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23503,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_2, c_i, s14)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 79.78/52.09 tff(23504,plain,
% 79.78/52.09 (~node20(c_e_h_2, c_i, s14)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23503, 22, 23500])).
% 79.78/52.09 tff(23505,assumption,(m_c_h_element_v_out(c_e_h_2, c_e, s16)), introduced(assumption)).
% 79.78/52.09 tff(23506,plain,
% 79.78/52.09 (~m_and_h_gate_v_out(c_e_h_2, c_i, s13)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[22770, 22748, 22081])).
% 79.78/52.09 tff(23507,plain,
% 79.78/52.09 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23369, 23431, 23506, 22781])).
% 79.78/52.09 tff(23508,assumption,(~m_c_h_element_v_out(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.78/52.09 tff(23509,assumption,(node18(c_e_h_2, c_e, s15, s16)), introduced(assumption)).
% 79.78/52.09 tff(23510,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15) | (~node18(c_e_h_2, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15) | (~node18(c_e_h_2, c_e, s15, s16)))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23511,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15) | (~node18(c_e_h_2, c_e, s15, s16)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23512,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15) | (~node18(c_e_h_2, c_e, s15, s16))),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 79.78/52.09 tff(23513,plain,
% 79.78/52.09 ($false),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23512, 481, 23505, 23508, 23509])).
% 79.78/52.09 tff(23514,plain,((~node18(c_e_h_2, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 79.78/52.09 tff(23515,plain,
% 79.78/52.09 (~node18(c_e_h_2, c_e, s15, s16)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23514, 23508, 23505])).
% 79.78/52.09 tff(23516,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_2, c_e, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_2, c_e, s15, s16))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23517,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_2, c_e, s15, s16))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23518,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_2, c_e, s15, s16)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 79.78/52.09 tff(23519,plain,
% 79.78/52.09 (node19(c_e_h_2, c_e, s15, s16)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23518, 494, 21999])).
% 79.78/52.09 tff(23520,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23521,plain,
% 79.78/52.09 ((node17(c_e_h_2, c_e, s15) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16))) <=> (node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23522,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s15) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15)))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23521])).
% 79.78/52.09 tff(23523,plain,
% 79.78/52.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s15) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23522, 23520])).
% 79.78/52.09 tff(23524,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_e, s15) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23525,plain,
% 79.78/52.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)) | node17(c_e_h_2, c_e, s15)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23524, 23523])).
% 79.78/52.09 tff(23526,plain,
% 79.78/52.09 (node18(c_e_h_2, c_e, s15, s16) | node17(c_e_h_2, c_e, s15)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23525, 508, 23519])).
% 79.78/52.09 tff(23527,plain,
% 79.78/52.09 (node17(c_e_h_2, c_e, s15)),
% 79.78/52.09 inference(unit_resolution,[status(thm)],[23526, 23515])).
% 79.78/52.09 tff(23528,assumption,(node17(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.78/52.09 tff(23529,assumption,(node16(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.78/52.09 tff(23530,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.78/52.09 tff(23531,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23532,plain,
% 79.78/52.09 (((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15) | (~node17(c_e_h_2, c_e, s15))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(rewrite,[status(thm)],[])).
% 79.78/52.09 tff(23533,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15) | (~node17(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)))),
% 79.78/52.09 inference(monotonicity,[status(thm)],[23532])).
% 79.78/52.09 tff(23534,plain,
% 79.78/52.09 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15) | (~node17(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.09 inference(transitivity,[status(thm)],[23533, 23531])).
% 79.78/52.09 tff(23535,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15) | (~node17(c_e_h_2, c_e, s15)))),
% 79.78/52.09 inference(quant_inst,[status(thm)],[])).
% 79.78/52.09 tff(23536,plain,
% 79.78/52.09 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.78/52.09 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 79.78/52.09 tff(23537,plain,
% 79.78/52.10 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23536, 541, 23528])).
% 79.78/52.10 tff(23538,plain,
% 79.78/52.10 (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23537, 23530])).
% 79.78/52.10 tff(23539,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(rewrite,[status(thm)],[])).
% 79.78/52.10 tff(23540,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(quant_inst,[status(thm)],[])).
% 79.78/52.10 tff(23541,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 79.78/52.10 tff(23542,plain,
% 79.78/52.10 (m_c_h_element_v_in1(c_e_h_2, c_e, s15) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23541, 559, 23529])).
% 79.78/52.10 tff(23543,plain,
% 79.78/52.10 ($false),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23542, 23538, 23530])).
% 79.78/52.10 tff(23544,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s15) | (~node16(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.10 tff(23545,plain,
% 79.78/52.10 (m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23544, 23529, 23528])).
% 79.78/52.10 tff(23546,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(rewrite,[status(thm)],[])).
% 79.78/52.10 tff(23547,plain,
% 79.78/52.10 ((m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15))) <=> ((~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(rewrite,[status(thm)],[])).
% 79.78/52.10 tff(23548,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15))))),
% 79.78/52.10 inference(monotonicity,[status(thm)],[23547])).
% 79.78/52.10 tff(23549,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(transitivity,[status(thm)],[23548, 23546])).
% 79.78/52.10 tff(23550,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(quant_inst,[status(thm)],[])).
% 79.78/52.10 tff(23551,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_e, s15)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 79.78/52.10 tff(23552,plain,
% 79.78/52.10 (m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23551, 1172, 23528])).
% 79.78/52.10 tff(23553,plain,
% 79.78/52.10 (m_c_h_element_v_in1(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23552, 23545])).
% 79.78/52.10 tff(23554,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(rewrite,[status(thm)],[])).
% 79.78/52.10 tff(23555,plain,
% 79.78/52.10 (((~node16(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(rewrite,[status(thm)],[])).
% 79.78/52.10 tff(23556,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15))))),
% 79.78/52.10 inference(monotonicity,[status(thm)],[23555])).
% 79.78/52.10 tff(23557,plain,
% 79.78/52.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(transitivity,[status(thm)],[23556, 23554])).
% 79.78/52.10 tff(23558,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)))),
% 79.78/52.10 inference(quant_inst,[status(thm)],[])).
% 79.78/52.10 tff(23559,plain,
% 79.78/52.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | (~node16(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(modus_ponens,[status(thm)],[23558, 23557])).
% 79.78/52.10 tff(23560,plain,
% 79.78/52.10 ((~m_c_h_element_v_in1(c_e_h_2, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15))),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23559, 1192, 23529])).
% 79.78/52.10 tff(23561,plain,
% 79.78/52.10 ($false),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23560, 23553, 23545])).
% 79.78/52.10 tff(23562,plain,((~node16(c_e_h_2, c_e, s15)) | (~node17(c_e_h_2, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.78/52.10 tff(23563,plain,
% 79.78/52.10 (~node16(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23562, 23527])).
% 79.78/52.10 tff(23564,plain,
% 79.78/52.10 (~m_c_h_element_v_in1(c_e_h_2, c_e, s15)),
% 79.78/52.10 inference(unit_resolution,[status(thm)],[23536, 541, 23527, 23530])).
% 79.84/52.10 tff(23565,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.84/52.10 tff(23566,assumption,(node14(c_e_h_2, c_e, s15, s16)), introduced(assumption)).
% 79.84/52.10 tff(23567,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23568,plain,
% 79.84/52.10 (((~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23569,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15)))),
% 79.84/52.10 inference(monotonicity,[status(thm)],[23568])).
% 79.84/52.10 tff(23570,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(transitivity,[status(thm)],[23569, 23567])).
% 79.84/52.10 tff(23571,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23572,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node14(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 79.84/52.10 tff(23573,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23572, 575, 23505, 23566, 23565])).
% 79.84/52.10 tff(23574,plain,((~node14(c_e_h_2, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_in1(c_e_h_2, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23575,plain,
% 79.84/52.10 (~node14(c_e_h_2, c_e, s15, s16)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23574, 23564, 23505])).
% 79.84/52.10 tff(23576,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23577,plain,
% 79.84/52.10 ((node16(c_e_h_2, c_e, s15) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16))) <=> ((~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23578,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s15) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15)))),
% 79.84/52.10 inference(monotonicity,[status(thm)],[23577])).
% 79.84/52.10 tff(23579,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s15) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(transitivity,[status(thm)],[23578, 23576])).
% 79.84/52.10 tff(23580,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_e, s15) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | (~node19(c_e_h_2, c_e, s15, s16)))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23581,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_2, c_e, s15, s16)) | node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 79.84/52.10 tff(23582,plain,
% 79.84/52.10 (node14(c_e_h_2, c_e, s15, s16) | node15(c_e_h_2, c_e, s15, s16) | node16(c_e_h_2, c_e, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23581, 594, 23519])).
% 79.84/52.10 tff(23583,plain,
% 79.84/52.10 (node15(c_e_h_2, c_e, s15, s16)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23582, 23575, 23563])).
% 79.84/52.10 tff(23584,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node15(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node15(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23585,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node15(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23586,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | (~node15(c_e_h_2, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 79.84/52.10 tff(23587,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23586, 612, 23505, 23508, 23583])).
% 79.84/52.10 tff(23588,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s15) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_in2(c_e_h_2, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23589,plain,
% 79.84/52.10 (m_c_h_element_v_in2(c_e_h_2, c_e, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23588, 23507, 23505])).
% 79.84/52.10 tff(23590,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_i, s15)), introduced(assumption)).
% 79.84/52.10 tff(23591,assumption,(m_c_h_element_v_in2(c_e_h_2, c_e, s15)), introduced(assumption)).
% 79.84/52.10 tff(23592,plain,
% 79.84/52.10 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s15))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23593,plain,
% 79.84/52.10 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s15))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23594,plain,
% 79.84/52.10 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s15)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 79.84/52.10 tff(23595,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23594, 4785, 23591, 23590])).
% 79.84/52.10 tff(23596,plain,((~m_c_h_element_v_in2(c_e_h_2, c_e, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23597,plain,
% 79.84/52.10 (m_and_h_gate_v_out(c_e_h_2, c_i, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23596, 23589])).
% 79.84/52.10 tff(23598,assumption,(~node20(c_e_h_2, c_i, s14)), introduced(assumption)).
% 79.84/52.10 tff(23599,assumption,(m_and_h_gate_v_out(c_e_h_2, c_i, s15)), introduced(assumption)).
% 79.84/52.10 tff(23600,assumption,(node21(c_e_h_2, c_i, s14, s15)), introduced(assumption)).
% 79.84/52.10 tff(23601,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node21(c_e_h_2, c_i, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node21(c_e_h_2, c_i, s14, s15)))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23602,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node21(c_e_h_2, c_i, s14, s15)))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23603,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node21(c_e_h_2, c_i, s14, s15))),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23602, 23601])).
% 79.84/52.10 tff(23604,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23603, 348, 23599, 23600, 23598])).
% 79.84/52.10 tff(23605,plain,((~node21(c_e_h_2, c_i, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | node20(c_e_h_2, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23606,plain,
% 79.84/52.10 (~node21(c_e_h_2, c_i, s14, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23605, 23599, 23598])).
% 79.84/52.10 tff(23607,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_2, c_i, s14, s15) | node22(c_e_h_2, c_i, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_2, c_i, s14, s15) | node22(c_e_h_2, c_i, s14, s15))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23608,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_2, c_i, s14, s15) | node22(c_e_h_2, c_i, s14, s15))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23609,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_2, c_i, s14, s15) | node22(c_e_h_2, c_i, s14, s15)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 79.84/52.10 tff(23610,plain,
% 79.84/52.10 (node21(c_e_h_2, c_i, s14, s15) | node22(c_e_h_2, c_i, s14, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23609, 383, 18664])).
% 79.84/52.10 tff(23611,plain,
% 79.84/52.10 (node22(c_e_h_2, c_i, s14, s15)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23610, 23606])).
% 79.84/52.10 tff(23612,plain,
% 79.84/52.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node22(c_e_h_2, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node22(c_e_h_2, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23613,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node22(c_e_h_2, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23614,plain,
% 79.84/52.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | (~node22(c_e_h_2, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 79.84/52.10 tff(23615,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23614, 437, 23599, 23611, 23344])).
% 79.84/52.10 tff(23616,plain,((~m_and_h_gate_v_out(c_e_h_2, c_i, s15)) | m_and_h_gate_v_out(c_e_h_2, c_i, s14) | node20(c_e_h_2, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23617,plain,
% 79.84/52.10 (m_and_h_gate_v_out(c_e_h_2, c_i, s14)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23616, 23597, 23504])).
% 79.84/52.10 tff(23618,plain,
% 79.84/52.10 (~node22(c_e_h_2, c_i, s13, s14)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23358, 23617, 23506])).
% 79.84/52.10 tff(23619,plain,
% 79.84/52.10 (node21(c_e_h_2, c_i, s13, s14)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23363, 23618])).
% 79.84/52.10 tff(23620,plain,
% 79.84/52.10 ($false),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23367, 348, 23619, 23617, 23431])).
% 79.84/52.10 tff(23621,plain,(m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~m_c_h_element_v_out(c_e_h_2, c_e, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s13) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.10 tff(23622,plain,
% 79.84/52.10 (~m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23621, 22565, 21071, 22081, 21061, 21070])).
% 79.84/52.10 tff(23623,plain,
% 79.84/52.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s16))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s16))),
% 79.84/52.10 inference(rewrite,[status(thm)],[])).
% 79.84/52.10 tff(23624,plain,
% 79.84/52.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s16))),
% 79.84/52.10 inference(quant_inst,[status(thm)],[])).
% 79.84/52.10 tff(23625,plain,
% 79.84/52.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)) | m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.84/52.10 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 79.84/52.10 tff(23626,plain,
% 79.84/52.10 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)),
% 79.84/52.10 inference(unit_resolution,[status(thm)],[23625, 9234, 23622])).
% 79.84/52.10 tff(23627,plain,
% 79.84/52.10 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s16))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23628,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s16))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23629,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s16)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 79.84/52.11 tff(23630,plain,
% 79.84/52.11 (~node20(c_e_h_2, c_r, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23629, 22, 23626])).
% 79.84/52.11 tff(23631,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s16)), introduced(assumption)).
% 79.84/52.11 tff(23632,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s17)), introduced(assumption)).
% 79.84/52.11 tff(23633,assumption,(node22(c_e_h_2, c_r, s16, s17)), introduced(assumption)).
% 79.84/52.11 tff(23634,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node22(c_e_h_2, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node22(c_e_h_2, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23635,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node22(c_e_h_2, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23636,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node22(c_e_h_2, c_r, s16, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23635, 23634])).
% 79.84/52.11 tff(23637,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23636, 437, 23632, 23633, 23631])).
% 79.84/52.11 tff(23638,plain,((~node22(c_e_h_2, c_r, s16, s17)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23639,plain,
% 79.84/52.11 (~node22(c_e_h_2, c_r, s16, s17)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23638, 23632, 23631])).
% 79.84/52.11 tff(23640,assumption,(~node20(c_e_h_2, c_r, s16)), introduced(assumption)).
% 79.84/52.11 tff(23641,assumption,(node21(c_e_h_2, c_r, s16, s17)), introduced(assumption)).
% 79.84/52.11 tff(23642,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node21(c_e_h_2, c_r, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node21(c_e_h_2, c_r, s16, s17)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23643,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node21(c_e_h_2, c_r, s16, s17)))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23644,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s16) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | (~node21(c_e_h_2, c_r, s16, s17))),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 79.84/52.11 tff(23645,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23644, 348, 23632, 23641, 23640])).
% 79.84/52.11 tff(23646,plain,((~node21(c_e_h_2, c_r, s16, s17)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | node20(c_e_h_2, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23647,plain,
% 79.84/52.11 (~node21(c_e_h_2, c_r, s16, s17)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23646, 23632, 23640])).
% 79.84/52.11 tff(23648,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_2, c_r, s16, s17) | node22(c_e_h_2, c_r, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_2, c_r, s16, s17) | node22(c_e_h_2, c_r, s16, s17))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23649,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_2, c_r, s16, s17) | node22(c_e_h_2, c_r, s16, s17))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23650,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_2, c_r, s16, s17) | node22(c_e_h_2, c_r, s16, s17)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 79.84/52.11 tff(23651,plain,
% 79.84/52.11 (node21(c_e_h_2, c_r, s16, s17) | node22(c_e_h_2, c_r, s16, s17)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23650, 383, 22053])).
% 79.84/52.11 tff(23652,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23651, 23647, 23639])).
% 79.84/52.11 tff(23653,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | node20(c_e_h_2, c_r, s16) | m_and_h_gate_v_out(c_e_h_2, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23654,plain,
% 79.84/52.11 (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23653, 23630, 23428])).
% 79.84/52.11 tff(23655,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23656,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)), introduced(assumption)).
% 79.84/52.11 tff(23657,plain,
% 79.84/52.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23658,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23659,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 79.84/52.11 tff(23660,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23659, 3886, 23656, 23655])).
% 79.84/52.11 tff(23661,plain,((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23662,plain,
% 79.84/52.11 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23661, 23024])).
% 79.84/52.11 tff(23663,plain,
% 79.84/52.11 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23369, 22565, 23097, 22771])).
% 79.84/52.11 tff(23664,plain,
% 79.84/52.11 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15) | m_c_h_element_v_out(c_e_h_2, c_e, s15))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23665,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15) | m_c_h_element_v_out(c_e_h_2, c_e, s15))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23666,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15) | m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23665, 23664])).
% 79.84/52.11 tff(23667,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15) | m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23666, 3964])).
% 79.84/52.11 tff(23668,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23667, 23663])).
% 79.84/52.11 tff(23669,plain,
% 79.84/52.11 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16) | m_c_h_element_v_out(c_e_h_2, c_e, s16))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16) | m_c_h_element_v_out(c_e_h_2, c_e, s16))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23670,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16) | m_c_h_element_v_out(c_e_h_2, c_e, s16))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23671,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16) | m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23670, 23669])).
% 79.84/52.11 tff(23672,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16) | m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23671, 3964])).
% 79.84/52.11 tff(23673,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23672, 23622])).
% 79.84/52.11 tff(23674,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[22950, 22575, 22659, 22570])).
% 79.84/52.11 tff(23675,plain,
% 79.84/52.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23676,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23677,plain,
% 79.84/52.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14))),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 79.84/52.11 tff(23678,plain,
% 79.84/52.11 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23677, 3886, 23674])).
% 79.84/52.11 tff(23679,plain,
% 79.84/52.11 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23680,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23681,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s14)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 79.84/52.11 tff(23682,plain,
% 79.84/52.11 (~node9(c_e_h_2, c_m, s14)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23681, 238, 23678])).
% 79.84/52.11 tff(23683,plain,
% 79.84/52.11 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23013, 22570, 22659])).
% 79.84/52.11 tff(23684,plain,
% 79.84/52.11 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23017, 3886, 23683])).
% 79.84/52.11 tff(23685,plain,
% 79.84/52.11 (~node9(c_e_h_2, c_m, s13)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23021, 238, 23684])).
% 79.84/52.11 tff(23686,plain,
% 79.84/52.11 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23010, 23685, 22740])).
% 79.84/52.11 tff(23687,assumption,(~node9(c_e_h_2, c_m, s14)), introduced(assumption)).
% 79.84/52.11 tff(23688,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)), introduced(assumption)).
% 79.84/52.11 tff(23689,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23690,assumption,(node11(c_e_h_2, c_m, s14, s15)), introduced(assumption)).
% 79.84/52.11 tff(23691,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node11(c_e_h_2, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node11(c_e_h_2, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23692,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node11(c_e_h_2, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23693,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node11(c_e_h_2, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23692, 23691])).
% 79.84/52.11 tff(23694,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23693, 282, 23688, 23689, 23690])).
% 79.84/52.11 tff(23695,plain,((~node11(c_e_h_2, c_m, s14, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23696,plain,
% 79.84/52.11 (~node11(c_e_h_2, c_m, s14, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23695, 23689, 23688])).
% 79.84/52.11 tff(23697,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_2, c_m, s14, s15) | node11(c_e_h_2, c_m, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_2, c_m, s14, s15) | node11(c_e_h_2, c_m, s14, s15))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23698,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s14, s15)) | node10(c_e_h_2, c_m, s14, s15) | node11(c_e_h_2, c_m, s14, s15))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23699,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s14, s15)) | node10(c_e_h_2, c_m, s14, s15) | node11(c_e_h_2, c_m, s14, s15)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 79.84/52.11 tff(23700,plain,
% 79.84/52.11 (node10(c_e_h_2, c_m, s14, s15) | node11(c_e_h_2, c_m, s14, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23699, 193, 18664])).
% 79.84/52.11 tff(23701,plain,
% 79.84/52.11 (node10(c_e_h_2, c_m, s14, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23700, 23696])).
% 79.84/52.11 tff(23702,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node10(c_e_h_2, c_m, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node10(c_e_h_2, c_m, s14, s15)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23703,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node10(c_e_h_2, c_m, s14, s15)))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23704,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | (~node10(c_e_h_2, c_m, s14, s15))),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 79.84/52.11 tff(23705,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23704, 252, 23689, 23701, 23687])).
% 79.84/52.11 tff(23706,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)) | node9(c_e_h_2, c_m, s14) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23707,plain,
% 79.84/52.11 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23706, 23686, 23682])).
% 79.84/52.11 tff(23708,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23709,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23710,assumption,(node9(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23711,plain,
% 79.84/52.11 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23712,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23713,plain,
% 79.84/52.11 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23712, 23711])).
% 79.84/52.11 tff(23714,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23713, 238, 23710, 23709])).
% 79.84/52.11 tff(23715,plain,((~node9(c_e_h_2, c_m, s15)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23716,plain,
% 79.84/52.11 (~node9(c_e_h_2, c_m, s15)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23715, 23709])).
% 79.84/52.11 tff(23717,assumption,(~node9(c_e_h_2, c_m, s15)), introduced(assumption)).
% 79.84/52.11 tff(23718,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)), introduced(assumption)).
% 79.84/52.11 tff(23719,assumption,(node10(c_e_h_2, c_m, s15, s16)), introduced(assumption)).
% 79.84/52.11 tff(23720,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23721,plain,
% 79.84/52.11 ((node9(c_e_h_2, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node10(c_e_h_2, c_m, s15, s16))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16)))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23722,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node10(c_e_h_2, c_m, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16))))),
% 79.84/52.11 inference(monotonicity,[status(thm)],[23721])).
% 79.84/52.11 tff(23723,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node10(c_e_h_2, c_m, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16)))),
% 79.84/52.11 inference(transitivity,[status(thm)],[23722, 23720])).
% 79.84/52.11 tff(23724,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node10(c_e_h_2, c_m, s15, s16)))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23725,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15) | (~node10(c_e_h_2, c_m, s15, s16))),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 79.84/52.11 tff(23726,plain,
% 79.84/52.11 ($false),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23725, 252, 23718, 23719, 23717])).
% 79.84/52.11 tff(23727,plain,((~node10(c_e_h_2, c_m, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | node9(c_e_h_2, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.11 tff(23728,plain,
% 79.84/52.11 (~node10(c_e_h_2, c_m, s15, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23727, 23718, 23717])).
% 79.84/52.11 tff(23729,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_2, c_m, s15, s16) | node11(c_e_h_2, c_m, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_2, c_m, s15, s16) | node11(c_e_h_2, c_m, s15, s16))),
% 79.84/52.11 inference(rewrite,[status(thm)],[])).
% 79.84/52.11 tff(23730,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_2, c_m, s15, s16) | node11(c_e_h_2, c_m, s15, s16))),
% 79.84/52.11 inference(quant_inst,[status(thm)],[])).
% 79.84/52.11 tff(23731,plain,
% 79.84/52.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_2, c_m, s15, s16) | node11(c_e_h_2, c_m, s15, s16)),
% 79.84/52.11 inference(modus_ponens,[status(thm)],[23730, 23729])).
% 79.84/52.11 tff(23732,plain,
% 79.84/52.11 (node10(c_e_h_2, c_m, s15, s16) | node11(c_e_h_2, c_m, s15, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23731, 193, 21999])).
% 79.84/52.11 tff(23733,plain,
% 79.84/52.11 (node11(c_e_h_2, c_m, s15, s16)),
% 79.84/52.11 inference(unit_resolution,[status(thm)],[23732, 23728])).
% 79.84/52.11 tff(23734,plain,
% 79.84/52.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node11(c_e_h_2, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node11(c_e_h_2, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23735,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node11(c_e_h_2, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23736,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~node11(c_e_h_2, c_m, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 79.84/52.12 tff(23737,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23736, 282, 23708, 23718, 23733])).
% 79.84/52.12 tff(23738,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15) | node9(c_e_h_2, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23739,plain,
% 79.84/52.12 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23738, 23716, 23708])).
% 79.84/52.12 tff(23740,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)), introduced(assumption)).
% 79.84/52.12 tff(23741,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)), introduced(assumption)).
% 79.84/52.12 tff(23742,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)), introduced(assumption)).
% 79.84/52.12 tff(23743,plain,
% 79.84/52.12 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23744,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23745,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 79.84/52.12 tff(23746,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23745, 3976, 23742, 23741])).
% 79.84/52.12 tff(23747,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23748,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23747, 23739])).
% 79.84/52.12 tff(23749,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)), introduced(assumption)).
% 79.84/52.12 tff(23750,plain,
% 79.84/52.12 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23751,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23752,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_n, X) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23751, 23750])).
% 79.84/52.12 tff(23753,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23752, 3976])).
% 79.84/52.12 tff(23754,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23753, 23708])).
% 79.84/52.12 tff(23755,assumption,(m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)), introduced(assumption)).
% 79.84/52.12 tff(23756,plain,
% 79.84/52.12 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23757,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23758,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in2(I0, c_m, X) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23757, 23756])).
% 79.84/52.12 tff(23759,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23758, 121, 22870, 23709])).
% 79.84/52.12 tff(23760,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23761,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23760, 23709])).
% 79.84/52.12 tff(23762,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)), introduced(assumption)).
% 79.84/52.12 tff(23763,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)), introduced(assumption)).
% 79.84/52.12 tff(23764,assumption,(node10(c_e_h_2, c_n, s15, s16)), introduced(assumption)).
% 79.84/52.12 tff(23765,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23766,plain,
% 79.84/52.12 (((~node10(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23767,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16))))),
% 79.84/52.12 inference(monotonicity,[status(thm)],[23766])).
% 79.84/52.12 tff(23768,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16)))),
% 79.84/52.12 inference(transitivity,[status(thm)],[23767, 23765])).
% 79.84/52.12 tff(23769,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23770,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~node10(c_e_h_2, c_n, s15, s16))),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 79.84/52.12 tff(23771,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23770, 160, 23763, 23762, 23755, 23764])).
% 79.84/52.12 tff(23772,plain,((~node10(c_e_h_2, c_n, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23773,plain,
% 79.84/52.12 (~node10(c_e_h_2, c_n, s15, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23772, 23763, 23755, 23762])).
% 79.84/52.12 tff(23774,assumption,(node11(c_e_h_2, c_n, s15, s16)), introduced(assumption)).
% 79.84/52.12 tff(23775,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~node11(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~node11(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23776,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~node11(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23777,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~node11(c_e_h_2, c_n, s15, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 79.84/52.12 tff(23778,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23777, 208, 23763, 23774, 23656])).
% 79.84/52.12 tff(23779,plain,((~node11(c_e_h_2, c_n, s15, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23780,plain,
% 79.84/52.12 (~node11(c_e_h_2, c_n, s15, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23779, 23763, 23656])).
% 79.84/52.12 tff(23781,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_2, c_n, s15, s16) | node11(c_e_h_2, c_n, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_2, c_n, s15, s16) | node11(c_e_h_2, c_n, s15, s16))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23782,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s15, s16)) | node10(c_e_h_2, c_n, s15, s16) | node11(c_e_h_2, c_n, s15, s16))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23783,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s15, s16)) | node10(c_e_h_2, c_n, s15, s16) | node11(c_e_h_2, c_n, s15, s16)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 79.84/52.12 tff(23784,plain,
% 79.84/52.12 (node10(c_e_h_2, c_n, s15, s16) | node11(c_e_h_2, c_n, s15, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23783, 193, 21999])).
% 79.84/52.12 tff(23785,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23784, 23780, 23773])).
% 79.84/52.12 tff(23786,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23787,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23786, 23761, 23755, 23754])).
% 79.84/52.12 tff(23788,assumption,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)), introduced(assumption)).
% 79.84/52.12 tff(23789,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)), introduced(assumption)).
% 79.84/52.12 tff(23790,assumption,(node10(c_e_h_2, c_n, s16, s17)), introduced(assumption)).
% 79.84/52.12 tff(23791,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23792,plain,
% 79.84/52.12 (((~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23793,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16))))),
% 79.84/52.12 inference(monotonicity,[status(thm)],[23792])).
% 79.84/52.12 tff(23794,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)))),
% 79.84/52.12 inference(transitivity,[status(thm)],[23793, 23791])).
% 79.84/52.12 tff(23795,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | ((~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23796,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node10(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_in2(I0, I1, X)) | (~m_and_h_gate_h_init_v_in1(I0, I1, X)) | m_and_h_gate_h_init_v_out(I0, I1, Y))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~node10(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16))),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23795, 23794])).
% 79.84/52.12 tff(23797,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23796, 160, 23789, 23749, 23790, 23788])).
% 79.84/52.12 tff(23798,plain,((~node10(c_e_h_2, c_n, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23799,plain,
% 79.84/52.12 (~node10(c_e_h_2, c_n, s16, s17)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23798, 23789, 23788, 23749])).
% 79.84/52.12 tff(23800,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_2, c_n, s16, s17) | node11(c_e_h_2, c_n, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_2, c_n, s16, s17) | node11(c_e_h_2, c_n, s16, s17))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23801,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_2, c_n, s16, s17) | node11(c_e_h_2, c_n, s16, s17))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23802,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_2, c_n, s16, s17) | node11(c_e_h_2, c_n, s16, s17)),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 79.84/52.12 tff(23803,plain,
% 79.84/52.12 (node10(c_e_h_2, c_n, s16, s17) | node11(c_e_h_2, c_n, s16, s17)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23802, 193, 22053])).
% 79.84/52.12 tff(23804,plain,
% 79.84/52.12 (node11(c_e_h_2, c_n, s16, s17)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23803, 23799])).
% 79.84/52.12 tff(23805,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)), introduced(assumption)).
% 79.84/52.12 tff(23806,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23807,plain,
% 79.84/52.12 ((m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~node11(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16))) <=> (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23808,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~node11(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17))))),
% 79.84/52.12 inference(monotonicity,[status(thm)],[23807])).
% 79.84/52.12 tff(23809,plain,
% 79.84/52.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~node11(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17)))),
% 79.84/52.12 inference(transitivity,[status(thm)],[23808, 23806])).
% 79.84/52.12 tff(23810,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~node11(c_e_h_2, c_n, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23811,plain,
% 79.84/52.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_h_init_v_out(I0, I1, Y) | (~node11(I0, I1, X, Y)) | (~m_and_h_gate_h_init_v_out(I0, I1, X)))) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~node11(c_e_h_2, c_n, s16, s17))),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 79.84/52.12 tff(23812,plain,
% 79.84/52.12 ($false),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23811, 208, 23789, 23805, 23804])).
% 79.84/52.12 tff(23813,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.12 tff(23814,plain,
% 79.84/52.12 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23813, 23787, 23749, 23748])).
% 79.84/52.12 tff(23815,plain,
% 79.84/52.12 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)))),
% 79.84/52.12 inference(rewrite,[status(thm)],[])).
% 79.84/52.12 tff(23816,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)))),
% 79.84/52.12 inference(quant_inst,[status(thm)],[])).
% 79.84/52.12 tff(23817,plain,
% 79.84/52.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17))),
% 79.84/52.12 inference(modus_ponens,[status(thm)],[23816, 23815])).
% 79.84/52.12 tff(23818,plain,
% 79.84/52.12 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)),
% 79.84/52.12 inference(unit_resolution,[status(thm)],[23817, 3886, 23814])).
% 79.84/52.12 tff(23819,assumption,(node9(c_e_h_2, c_m, s17)), introduced(assumption)).
% 79.84/52.12 tff(23820,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)), introduced(assumption)).
% 79.84/52.13 tff(23821,plain,
% 79.84/52.13 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23822,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23823,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s17)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 79.84/52.13 tff(23824,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23823, 238, 23820, 23819])).
% 79.84/52.13 tff(23825,plain,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17) | (~node9(c_e_h_2, c_m, s17))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23826,plain,
% 79.84/52.13 (~node9(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23825, 23818])).
% 79.84/52.13 tff(23827,assumption,(~node9(c_e_h_2, c_m, s17)), introduced(assumption)).
% 79.84/52.13 tff(23828,assumption,(node10(c_e_h_2, c_m, s17, s18)), introduced(assumption)).
% 79.84/52.13 tff(23829,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node10(c_e_h_2, c_m, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node10(c_e_h_2, c_m, s17, s18)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23830,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node10(c_e_h_2, c_m, s17, s18)))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23831,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_2, c_m, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node10(c_e_h_2, c_m, s17, s18))),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 79.84/52.13 tff(23832,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23831, 252, 23740, 23828, 23827])).
% 79.84/52.13 tff(23833,plain,((~node10(c_e_h_2, c_m, s17, s18)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | node9(c_e_h_2, c_m, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23834,plain,
% 79.84/52.13 (~node10(c_e_h_2, c_m, s17, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23833, 23740, 23827])).
% 79.84/52.13 tff(23835,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s17, s18)) | node10(c_e_h_2, c_m, s17, s18) | node11(c_e_h_2, c_m, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s17, s18)) | node10(c_e_h_2, c_m, s17, s18) | node11(c_e_h_2, c_m, s17, s18))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23836,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s17, s18)) | node10(c_e_h_2, c_m, s17, s18) | node11(c_e_h_2, c_m, s17, s18))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23837,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s17, s18)) | node10(c_e_h_2, c_m, s17, s18) | node11(c_e_h_2, c_m, s17, s18)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23836, 23835])).
% 79.84/52.13 tff(23838,plain,
% 79.84/52.13 (node10(c_e_h_2, c_m, s17, s18) | node11(c_e_h_2, c_m, s17, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23837, 193, 22143])).
% 79.84/52.13 tff(23839,plain,
% 79.84/52.13 (node11(c_e_h_2, c_m, s17, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23838, 23834])).
% 79.84/52.13 tff(23840,assumption,(~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)), introduced(assumption)).
% 79.84/52.13 tff(23841,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node11(c_e_h_2, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node11(c_e_h_2, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23842,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node11(c_e_h_2, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23843,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~node11(c_e_h_2, c_m, s17, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 79.84/52.13 tff(23844,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23843, 282, 23740, 23840, 23839])).
% 79.84/52.13 tff(23845,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17) | node9(c_e_h_2, c_m, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23846,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23845, 23826, 23740])).
% 79.84/52.13 tff(23847,assumption,(~node9(c_e_h_2, c_m, s16)), introduced(assumption)).
% 79.84/52.13 tff(23848,assumption,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)), introduced(assumption)).
% 79.84/52.13 tff(23849,assumption,(node11(c_e_h_2, c_m, s16, s17)), introduced(assumption)).
% 79.84/52.13 tff(23850,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node11(c_e_h_2, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node11(c_e_h_2, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23851,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node11(c_e_h_2, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23852,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node11(c_e_h_2, c_m, s16, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 79.84/52.13 tff(23853,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23852, 282, 23848, 23849, 23742])).
% 79.84/52.13 tff(23854,plain,((~node11(c_e_h_2, c_m, s16, s17)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23855,plain,
% 79.84/52.13 (~node11(c_e_h_2, c_m, s16, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23854, 23848, 23742])).
% 79.84/52.13 tff(23856,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_2, c_m, s16, s17) | node11(c_e_h_2, c_m, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_2, c_m, s16, s17) | node11(c_e_h_2, c_m, s16, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23857,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | ((~trans(s16, s17)) | node10(c_e_h_2, c_m, s16, s17) | node11(c_e_h_2, c_m, s16, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23858,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node10(I0, I1, X, Y) | node11(I0, I1, X, Y))) | (~trans(s16, s17)) | node10(c_e_h_2, c_m, s16, s17) | node11(c_e_h_2, c_m, s16, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 79.84/52.13 tff(23859,plain,
% 79.84/52.13 (node10(c_e_h_2, c_m, s16, s17) | node11(c_e_h_2, c_m, s16, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23858, 193, 22053])).
% 79.84/52.13 tff(23860,plain,
% 79.84/52.13 (node10(c_e_h_2, c_m, s16, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23859, 23855])).
% 79.84/52.13 tff(23861,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23862,plain,
% 79.84/52.13 ((node9(c_e_h_2, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node10(c_e_h_2, c_m, s16, s17))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23863,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node10(c_e_h_2, c_m, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17))))),
% 79.84/52.13 inference(monotonicity,[status(thm)],[23862])).
% 79.84/52.13 tff(23864,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node10(c_e_h_2, c_m, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17)))),
% 79.84/52.13 inference(transitivity,[status(thm)],[23863, 23861])).
% 79.84/52.13 tff(23865,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_m, s16) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | (~node10(c_e_h_2, c_m, s16, s17)))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23866,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | (~node10(c_e_h_2, c_m, s16, s17))),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 79.84/52.13 tff(23867,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23866, 252, 23848, 23860, 23847])).
% 79.84/52.13 tff(23868,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)) | node9(c_e_h_2, c_m, s16) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23869,plain,
% 79.84/52.13 (node9(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23868, 23846, 23739])).
% 79.84/52.13 tff(23870,plain,
% 79.84/52.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23871,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | ((~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23872,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in2(I0, c_m, X)) | (~m_and_h_gate_h_init_v_out(I0, c_n, X)))) | (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16))),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23871, 23870])).
% 79.84/52.13 tff(23873,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23872, 3886, 23787])).
% 79.84/52.13 tff(23874,plain,
% 79.84/52.13 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23875,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | ((~node9(c_e_h_2, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23876,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in2(I0, I1, X))) | (~node9(c_e_h_2, c_m, s16)) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 79.84/52.13 tff(23877,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23876, 238, 23873, 23869])).
% 79.84/52.13 tff(23878,plain,(m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23879,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23878, 23707, 23673, 23668, 23662])).
% 79.84/52.13 tff(23880,plain,
% 79.84/52.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23881,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23882,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 79.84/52.13 tff(23883,plain,
% 79.84/52.13 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23882, 7347, 23879])).
% 79.84/52.13 tff(23884,plain,
% 79.84/52.13 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s18))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s18))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23885,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s18))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23886,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s18)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s18)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 79.84/52.13 tff(23887,plain,
% 79.84/52.13 (~node20(c_e_h_2, c_r, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23886, 334, 23883])).
% 79.84/52.13 tff(23888,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22738, 22913, 22716])).
% 79.84/52.13 tff(23889,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22910, 22874, 22872, 22882])).
% 79.84/52.13 tff(23890,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23017, 3886, 23889])).
% 79.84/52.13 tff(23891,plain,
% 79.84/52.13 (~node9(c_e_h_2, c_m, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23021, 238, 23890])).
% 79.84/52.13 tff(23892,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23010, 23891, 23888])).
% 79.84/52.13 tff(23893,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22574, 22781])).
% 79.84/52.13 tff(23894,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22949, 23893, 22872, 22716, 22874])).
% 79.84/52.13 tff(23895,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22984, 23892])).
% 79.84/52.13 tff(23896,plain,
% 79.84/52.13 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22862, 22781, 22804])).
% 79.84/52.13 tff(23897,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22867, 23896])).
% 79.84/52.13 tff(23898,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[22979, 23897, 23895, 23894])).
% 79.84/52.13 tff(23899,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23661, 23898])).
% 79.84/52.13 tff(23900,plain,
% 79.84/52.13 (~node9(c_e_h_2, c_m, s15)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23715, 23899])).
% 79.84/52.13 tff(23901,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23738, 23900, 23718])).
% 79.84/52.13 tff(23902,plain,
% 79.84/52.13 (node9(c_e_h_2, c_m, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23706, 23901, 23892])).
% 79.84/52.13 tff(23903,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23677, 3886, 23894])).
% 79.84/52.13 tff(23904,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23681, 238, 23903, 23902])).
% 79.84/52.13 tff(23905,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23906,plain,
% 79.84/52.13 (m_c_h_element_v_out(c_e_h_2, c_e, s13) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23905, 22715])).
% 79.84/52.13 tff(23907,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23906, 22565, 22779, 22659, 22570])).
% 79.84/52.13 tff(23908,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23753, 23707])).
% 79.84/52.13 tff(23909,plain,
% 79.84/52.13 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23786, 23908, 23668, 23024])).
% 79.84/52.13 tff(23910,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23872, 3886, 23909])).
% 79.84/52.13 tff(23911,plain,
% 79.84/52.13 (~node9(c_e_h_2, c_m, s16)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23876, 238, 23910])).
% 79.84/52.13 tff(23912,plain,
% 79.84/52.13 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23868, 23911, 23907])).
% 79.84/52.13 tff(23913,plain,
% 79.84/52.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23914,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23915,plain,
% 79.84/52.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 79.84/52.13 tff(23916,plain,
% 79.84/52.13 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23915, 7347, 23912])).
% 79.84/52.13 tff(23917,plain,
% 79.84/52.13 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23918,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23919,plain,
% 79.84/52.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 79.84/52.13 tff(23920,plain,
% 79.84/52.13 (~node20(c_e_h_2, c_r, s17)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23919, 334, 23916])).
% 79.84/52.13 tff(23921,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s17)), introduced(assumption)).
% 79.84/52.13 tff(23922,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s18)), introduced(assumption)).
% 79.84/52.13 tff(23923,assumption,(node22(c_e_h_2, c_r, s17, s18)), introduced(assumption)).
% 79.84/52.13 tff(23924,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node22(c_e_h_2, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node22(c_e_h_2, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23925,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node22(c_e_h_2, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23926,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node22(c_e_h_2, c_r, s17, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17)),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 79.84/52.13 tff(23927,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23926, 437, 23922, 23923, 23921])).
% 79.84/52.13 tff(23928,plain,((~node22(c_e_h_2, c_r, s17, s18)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23929,plain,
% 79.84/52.13 (~node22(c_e_h_2, c_r, s17, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23928, 23922, 23921])).
% 79.84/52.13 tff(23930,assumption,(~node20(c_e_h_2, c_r, s17)), introduced(assumption)).
% 79.84/52.13 tff(23931,assumption,(node21(c_e_h_2, c_r, s17, s18)), introduced(assumption)).
% 79.84/52.13 tff(23932,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23933,plain,
% 79.84/52.13 ((node20(c_e_h_2, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node21(c_e_h_2, c_r, s17, s18))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18)))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23934,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node21(c_e_h_2, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18))))),
% 79.84/52.13 inference(monotonicity,[status(thm)],[23933])).
% 79.84/52.13 tff(23935,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node21(c_e_h_2, c_r, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18)))),
% 79.84/52.13 inference(transitivity,[status(thm)],[23934, 23932])).
% 79.84/52.13 tff(23936,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s17) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | (~node21(c_e_h_2, c_r, s17, s18)))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23937,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | (~node21(c_e_h_2, c_r, s17, s18))),
% 79.84/52.13 inference(modus_ponens,[status(thm)],[23936, 23935])).
% 79.84/52.13 tff(23938,plain,
% 79.84/52.13 ($false),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23937, 348, 23922, 23931, 23930])).
% 79.84/52.13 tff(23939,plain,((~node21(c_e_h_2, c_r, s17, s18)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.13 tff(23940,plain,
% 79.84/52.13 (~node21(c_e_h_2, c_r, s17, s18)),
% 79.84/52.13 inference(unit_resolution,[status(thm)],[23939, 23922, 23930])).
% 79.84/52.13 tff(23941,plain,
% 79.84/52.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s17, s18)) | node21(c_e_h_2, c_r, s17, s18) | node22(c_e_h_2, c_r, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s17, s18)) | node21(c_e_h_2, c_r, s17, s18) | node22(c_e_h_2, c_r, s17, s18))),
% 79.84/52.13 inference(rewrite,[status(thm)],[])).
% 79.84/52.13 tff(23942,plain,
% 79.84/52.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s17, s18)) | node21(c_e_h_2, c_r, s17, s18) | node22(c_e_h_2, c_r, s17, s18))),
% 79.84/52.13 inference(quant_inst,[status(thm)],[])).
% 79.84/52.13 tff(23943,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s17, s18)) | node21(c_e_h_2, c_r, s17, s18) | node22(c_e_h_2, c_r, s17, s18)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 79.84/52.14 tff(23944,plain,
% 79.84/52.14 (node21(c_e_h_2, c_r, s17, s18) | node22(c_e_h_2, c_r, s17, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23943, 383, 22143])).
% 79.84/52.14 tff(23945,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23944, 23940, 23929])).
% 79.84/52.14 tff(23946,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s18)) | node20(c_e_h_2, c_r, s17) | m_and_h_gate_v_out(c_e_h_2, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23947,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23946, 23920, 23654])).
% 79.84/52.14 tff(23948,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s18)), introduced(assumption)).
% 79.84/52.14 tff(23949,assumption,(m_and_h_gate_v_out(c_e_h_2, c_r, s19)), introduced(assumption)).
% 79.84/52.14 tff(23950,assumption,(node22(c_e_h_2, c_r, s18, s19)), introduced(assumption)).
% 79.84/52.14 tff(23951,plain,
% 79.84/52.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node22(c_e_h_2, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node22(c_e_h_2, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23952,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node22(c_e_h_2, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23953,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node22(c_e_h_2, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23952, 23951])).
% 79.84/52.14 tff(23954,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23953, 437, 23950, 23949, 23948])).
% 79.84/52.14 tff(23955,plain,((~node22(c_e_h_2, c_r, s18, s19)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23956,plain,
% 79.84/52.14 (~node22(c_e_h_2, c_r, s18, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23955, 23949, 23948])).
% 79.84/52.14 tff(23957,assumption,(~node20(c_e_h_2, c_r, s18)), introduced(assumption)).
% 79.84/52.14 tff(23958,assumption,(node21(c_e_h_2, c_r, s18, s19)), introduced(assumption)).
% 79.84/52.14 tff(23959,plain,
% 79.84/52.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node21(c_e_h_2, c_r, s18, s19)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node21(c_e_h_2, c_r, s18, s19)))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23960,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node21(c_e_h_2, c_r, s18, s19)))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23961,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | (~node21(c_e_h_2, c_r, s18, s19))),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 79.84/52.14 tff(23962,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23961, 348, 23958, 23949, 23957])).
% 79.84/52.14 tff(23963,plain,((~node21(c_e_h_2, c_r, s18, s19)) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | node20(c_e_h_2, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23964,plain,
% 79.84/52.14 (~node21(c_e_h_2, c_r, s18, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23963, 23949, 23957])).
% 79.84/52.14 tff(23965,plain,
% 79.84/52.14 (succ(s18, s19) <=> succ(s18, s19)),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23966,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 79.84/52.14 tff(23967,plain,
% 79.84/52.14 (succ(s18, s19)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 79.84/52.14 tff(23968,plain,
% 79.84/52.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23969,plain,
% 79.84/52.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23970,plain,
% 79.84/52.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 79.84/52.14 tff(23971,plain,
% 79.84/52.14 (trans(s18, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23970, 23967, 176])).
% 79.84/52.14 tff(23972,plain,
% 79.84/52.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s18, s19)) | node21(c_e_h_2, c_r, s18, s19) | node22(c_e_h_2, c_r, s18, s19))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s18, s19)) | node21(c_e_h_2, c_r, s18, s19) | node22(c_e_h_2, c_r, s18, s19))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23973,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s18, s19)) | node21(c_e_h_2, c_r, s18, s19) | node22(c_e_h_2, c_r, s18, s19))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23974,plain,
% 79.84/52.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s18, s19)) | node21(c_e_h_2, c_r, s18, s19) | node22(c_e_h_2, c_r, s18, s19)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 79.84/52.14 tff(23975,plain,
% 79.84/52.14 (node21(c_e_h_2, c_r, s18, s19) | node22(c_e_h_2, c_r, s18, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23974, 383, 23971])).
% 79.84/52.14 tff(23976,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23975, 23964, 23956])).
% 79.84/52.14 tff(23977,plain,((~m_and_h_gate_v_out(c_e_h_2, c_r, s19)) | node20(c_e_h_2, c_r, s18) | m_and_h_gate_v_out(c_e_h_2, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23978,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23977, 23947, 23887])).
% 79.84/52.14 tff(23979,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_r, s19)), introduced(assumption)).
% 79.84/52.14 tff(23980,assumption,(m_user_v_ack(c_e_h_2, c_u, s19)), introduced(assumption)).
% 79.84/52.14 tff(23981,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s19))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s19))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23982,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s19))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23983,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s19)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23982, 23981])).
% 79.84/52.14 tff(23984,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23983, 7367, 23980, 23979])).
% 79.84/52.14 tff(23985,plain,((~m_user_v_ack(c_e_h_2, c_u, s19)) | m_and_h_gate_v_out(c_e_h_2, c_r, s19)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23986,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_2, c_u, s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23985, 23978])).
% 79.84/52.14 tff(23987,plain,
% 79.84/52.14 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23988,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23989,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s19)) | m_user_v_ack(c_e_h_2, c_u, s19)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23988, 23987])).
% 79.84/52.14 tff(23990,plain,
% 79.84/52.14 (~node23(s19)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23989, 12627, 23986])).
% 79.84/52.14 tff(23991,assumption,(m_user_v_ack(c_e_h_2, c_u, s17)), introduced(assumption)).
% 79.84/52.14 tff(23992,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23993,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(23994,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 79.84/52.14 tff(23995,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23994, 7367, 23991, 23921])).
% 79.84/52.14 tff(23996,plain,((~m_user_v_ack(c_e_h_2, c_u, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s17)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(23997,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_2, c_u, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23996, 23654])).
% 79.84/52.14 tff(23998,plain,
% 79.84/52.14 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s17)) | m_user_v_ack(c_e_h_2, c_u, s17))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s17)) | m_user_v_ack(c_e_h_2, c_u, s17))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(23999,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s17)) | m_user_v_ack(c_e_h_2, c_u, s17))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24000,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s17)) | m_user_v_ack(c_e_h_2, c_u, s17)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[23999, 23998])).
% 79.84/52.14 tff(24001,plain,
% 79.84/52.14 (~node23(s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24000, 12627, 23997])).
% 79.84/52.14 tff(24002,assumption,(~node24(s16)), introduced(assumption)).
% 79.84/52.14 tff(24003,assumption,(m_user_v_ack(c_e_h_2, c_u, s16)), introduced(assumption)).
% 79.84/52.14 tff(24004,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24005,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24006,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 79.84/52.14 tff(24007,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24006, 7367, 24003, 23631])).
% 79.84/52.14 tff(24008,plain,((~m_user_v_ack(c_e_h_2, c_u, s16)) | m_and_h_gate_v_out(c_e_h_2, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24009,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_2, c_u, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24008, 23428])).
% 79.84/52.14 tff(24010,plain,
% 79.84/52.14 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s16)) | m_user_v_ack(c_e_h_2, c_u, s16))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s16)) | m_user_v_ack(c_e_h_2, c_u, s16))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24011,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s16)) | m_user_v_ack(c_e_h_2, c_u, s16))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24012,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s16)) | m_user_v_ack(c_e_h_2, c_u, s16)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24011, 24010])).
% 79.84/52.14 tff(24013,plain,
% 79.84/52.14 (~node23(s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24012, 12627, 24009])).
% 79.84/52.14 tff(24014,assumption,(~node24(s17)), introduced(assumption)).
% 79.84/52.14 tff(24015,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22738, 22716, 22725])).
% 79.84/52.14 tff(24016,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24017,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24018,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s13)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24017, 24016])).
% 79.84/52.14 tff(24019,plain,
% 79.84/52.14 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24018, 7347, 24015])).
% 79.84/52.14 tff(24020,plain,
% 79.84/52.14 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23103, 22716])).
% 79.84/52.14 tff(24021,plain,
% 79.84/52.14 (~node20(c_e_h_2, c_r, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23111, 24020])).
% 79.84/52.14 tff(24022,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23209, 24021, 23187])).
% 79.84/52.14 tff(24023,plain,
% 79.84/52.14 (node20(c_e_h_2, c_r, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23242, 24022, 23224])).
% 79.84/52.14 tff(24024,plain,
% 79.84/52.14 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s13))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24025,plain,
% 79.84/52.14 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s13))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24026,plain,
% 79.84/52.14 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s13)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s13)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24025, 24024])).
% 79.84/52.14 tff(24027,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24026, 334, 24023, 24019])).
% 79.84/52.14 tff(24028,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12) | node9(c_e_h_2, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24029,plain,
% 79.84/52.14 ((~m_and_h_gate_v_out(c_e_h_2, c_r, s14)) | node9(c_e_h_2, c_m, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24028, 23186, 22715])).
% 79.84/52.14 tff(24030,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24029, 22671])).
% 79.84/52.14 tff(24031,assumption,(m_user_v_ack(c_e_h_2, c_u, s14)), introduced(assumption)).
% 79.84/52.14 tff(24032,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24033,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24034,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24033, 24032])).
% 79.84/52.14 tff(24035,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24034, 7367, 24031, 23419])).
% 79.84/52.14 tff(24036,plain,((~m_user_v_ack(c_e_h_2, c_u, s14)) | m_and_h_gate_v_out(c_e_h_2, c_r, s14)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24037,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_2, c_u, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24036, 24030])).
% 79.84/52.14 tff(24038,plain,
% 79.84/52.14 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s14)) | m_user_v_ack(c_e_h_2, c_u, s14))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s14)) | m_user_v_ack(c_e_h_2, c_u, s14))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24039,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s14)) | m_user_v_ack(c_e_h_2, c_u, s14))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24040,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s14)) | m_user_v_ack(c_e_h_2, c_u, s14)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 79.84/52.14 tff(24041,plain,
% 79.84/52.14 (~node23(s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24040, 12627, 24037])).
% 79.84/52.14 tff(24042,plain,
% 79.84/52.14 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23248, 9234, 22863])).
% 79.84/52.14 tff(24043,plain,
% 79.84/52.14 (~node20(c_e_h_2, c_r, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23252, 22, 24042])).
% 79.84/52.14 tff(24044,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23424, 24043, 24030])).
% 79.84/52.14 tff(24045,assumption,(m_user_v_ack(c_e_h_2, c_u, s15)), introduced(assumption)).
% 79.84/52.14 tff(24046,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24047,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24048,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 79.84/52.14 tff(24049,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24048, 7367, 24045, 23380])).
% 79.84/52.14 tff(24050,plain,((~m_user_v_ack(c_e_h_2, c_u, s15)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24051,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_2, c_u, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24050, 24044])).
% 79.84/52.14 tff(24052,plain,
% 79.84/52.14 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s15)) | m_user_v_ack(c_e_h_2, c_u, s15))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s15)) | m_user_v_ack(c_e_h_2, c_u, s15))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24053,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s15)) | m_user_v_ack(c_e_h_2, c_u, s15))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24054,plain,
% 79.84/52.14 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s15)) | m_user_v_ack(c_e_h_2, c_u, s15)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24053, 24052])).
% 79.84/52.14 tff(24055,plain,
% 79.84/52.14 (~node23(s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24054, 12627, 24051])).
% 79.84/52.14 tff(24056,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s18)), introduced(assumption)).
% 79.84/52.14 tff(24057,assumption,(m_user_v_ack(c_e_h_1, c_u, s18)), introduced(assumption)).
% 79.84/52.14 tff(24058,plain,
% 79.84/52.14 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24059,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24060,plain,
% 79.84/52.14 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 79.84/52.14 tff(24061,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24060, 7367, 24057, 24056])).
% 79.84/52.14 tff(24062,plain,((~m_user_v_ack(c_e_h_1, c_u, s18)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24063,plain,
% 79.84/52.14 (~m_user_v_ack(c_e_h_1, c_u, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24062, 24056])).
% 79.84/52.14 tff(24064,assumption,(node24(s18)), introduced(assumption)).
% 79.84/52.14 tff(24065,assumption,(~m_user_v_ack(c_e_h_1, c_u, s18)), introduced(assumption)).
% 79.84/52.14 tff(24066,plain,
% 79.84/52.14 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s18) | (~node24(s18)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s18) | (~node24(s18)))),
% 79.84/52.14 inference(rewrite,[status(thm)],[])).
% 79.84/52.14 tff(24067,plain,
% 79.84/52.14 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s18) | (~node24(s18)))),
% 79.84/52.14 inference(quant_inst,[status(thm)],[])).
% 79.84/52.14 tff(24068,plain,
% 79.84/52.14 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s18) | (~node24(s18))),
% 79.84/52.14 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 79.84/52.14 tff(24069,plain,
% 79.84/52.14 ($false),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24068, 9500, 24065, 24064])).
% 79.84/52.14 tff(24070,plain,((~node24(s18)) | m_user_v_ack(c_e_h_1, c_u, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.14 tff(24071,plain,
% 79.84/52.14 (~node24(s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[24070, 24063])).
% 79.84/52.14 tff(24072,plain,
% 79.84/52.14 (~m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22418, 22363])).
% 79.84/52.14 tff(24073,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22579, 24072])).
% 79.84/52.14 tff(24074,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22658, 24073])).
% 79.84/52.14 tff(24075,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22662, 3886, 24074])).
% 79.84/52.14 tff(24076,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22668, 238, 24075])).
% 79.84/52.14 tff(24077,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22739, 24076])).
% 79.84/52.14 tff(24078,plain,
% 79.84/52.14 (~m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22479, 22082, 24072])).
% 79.84/52.14 tff(24079,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22569, 24078])).
% 79.84/52.14 tff(24080,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23013, 24079, 24074])).
% 79.84/52.14 tff(24081,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23017, 3886, 24080])).
% 79.84/52.14 tff(24082,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s13)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23021, 238, 24081])).
% 79.84/52.14 tff(24083,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23010, 24082, 24077])).
% 79.84/52.14 tff(24084,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[22950, 23893, 24074, 24079])).
% 79.84/52.14 tff(24085,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23677, 3886, 24084])).
% 79.84/52.14 tff(24086,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s14)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23681, 238, 24085])).
% 79.84/52.14 tff(24087,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23706, 24086, 24083])).
% 79.84/52.14 tff(24088,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23661, 23656])).
% 79.84/52.14 tff(24089,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23715, 24088])).
% 79.84/52.14 tff(24090,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23738, 24089, 24087])).
% 79.84/52.14 tff(24091,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23753, 24087])).
% 79.84/52.14 tff(24092,plain,
% 79.84/52.14 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23369, 23097, 23506, 22781])).
% 79.84/52.14 tff(24093,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23667, 24092])).
% 79.84/52.14 tff(24094,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23786, 24093, 23656, 24091])).
% 79.84/52.14 tff(24095,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23872, 3886, 24094])).
% 79.84/52.14 tff(24096,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23876, 238, 24095])).
% 79.84/52.14 tff(24097,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23868, 24096, 24090])).
% 79.84/52.14 tff(24098,plain,
% 79.84/52.14 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23915, 7347, 24097])).
% 79.84/52.14 tff(24099,plain,
% 79.84/52.14 (~node20(c_e_h_2, c_r, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23919, 334, 24098])).
% 79.84/52.14 tff(24100,plain,
% 79.84/52.14 (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23946, 24099, 23921])).
% 79.84/52.14 tff(24101,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23747, 24090])).
% 79.84/52.14 tff(24102,plain,
% 79.84/52.14 (~m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23621, 21070, 21061, 22081, 21071, 22781])).
% 79.84/52.14 tff(24103,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23672, 24102])).
% 79.84/52.14 tff(24104,plain,
% 79.84/52.14 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23813, 24094, 24103, 24101])).
% 79.84/52.14 tff(24105,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23817, 3886, 24104])).
% 79.84/52.14 tff(24106,plain,
% 79.84/52.14 (~node9(c_e_h_2, c_m, s17)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23823, 238, 24105])).
% 79.84/52.14 tff(24107,plain,
% 79.84/52.14 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23845, 24097, 24106])).
% 79.84/52.14 tff(24108,plain,
% 79.84/52.14 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)),
% 79.84/52.14 inference(unit_resolution,[status(thm)],[23882, 7347, 24107])).
% 79.84/52.14 tff(24109,plain,
% 79.84/52.14 (~node20(c_e_h_2, c_r, s18)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23886, 334, 24108])).
% 79.84/52.15 tff(24110,plain,
% 79.84/52.15 (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23977, 24109, 24100])).
% 79.84/52.15 tff(24111,plain,
% 79.84/52.15 (~m_user_v_ack(c_e_h_2, c_u, s19)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23985, 24110])).
% 79.84/52.15 tff(24112,assumption,(node25(s19)), introduced(assumption)).
% 79.84/52.15 tff(24113,assumption,(~m_user_v_ack(c_e_h_2, c_u, s19)), introduced(assumption)).
% 79.84/52.15 tff(24114,plain,
% 79.84/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24115,plain,
% 79.84/52.15 ((m_user_v_ack(c_e_h_2, c_u, s19) | (~node25(s19))) <=> ((~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24116,plain,
% 79.84/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s19) | (~node25(s19)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19)))),
% 79.84/52.15 inference(monotonicity,[status(thm)],[24115])).
% 79.84/52.15 tff(24117,plain,
% 79.84/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s19) | (~node25(s19)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19))),
% 79.84/52.15 inference(transitivity,[status(thm)],[24116, 24114])).
% 79.84/52.15 tff(24118,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s19) | (~node25(s19)))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24119,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s19)) | m_user_v_ack(c_e_h_2, c_u, s19)),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 79.84/52.15 tff(24120,plain,
% 79.84/52.15 ($false),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24119, 12613, 24113, 24112])).
% 79.84/52.15 tff(24121,plain,(m_user_v_ack(c_e_h_2, c_u, s19) | (~node25(s19))), inference(lemma,lemma(discharge,[]))).
% 79.84/52.15 tff(24122,plain,
% 79.84/52.15 (~node25(s19)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24121, 24111])).
% 79.84/52.15 tff(24123,assumption,(~node23(s17)), introduced(assumption)).
% 79.84/52.15 tff(24124,assumption,(~node23(s16)), introduced(assumption)).
% 79.84/52.15 tff(24125,assumption,(~node23(s14)), introduced(assumption)).
% 79.84/52.15 tff(24126,assumption,(~node23(s15)), introduced(assumption)).
% 79.84/52.15 tff(24127,assumption,(~node26(s9)), introduced(assumption)).
% 79.84/52.15 tff(24128,assumption,(~node24(s18)), introduced(assumption)).
% 79.84/52.15 tff(24129,assumption,(m_user_v_ack(c_e_h_2, c_u, s18)), introduced(assumption)).
% 79.84/52.15 tff(24130,plain,
% 79.84/52.15 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24131,plain,
% 79.84/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24132,plain,
% 79.84/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 79.84/52.15 tff(24133,plain,
% 79.84/52.15 ($false),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24132, 7367, 23948, 24129])).
% 79.84/52.15 tff(24134,plain,((~m_user_v_ack(c_e_h_2, c_u, s18)) | m_and_h_gate_v_out(c_e_h_2, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.15 tff(24135,plain,
% 79.84/52.15 (~m_user_v_ack(c_e_h_2, c_u, s18)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24134, 24100])).
% 79.84/52.15 tff(24136,assumption,(node23(s18)), introduced(assumption)).
% 79.84/52.15 tff(24137,assumption,(~m_user_v_ack(c_e_h_2, c_u, s18)), introduced(assumption)).
% 79.84/52.15 tff(24138,plain,
% 79.84/52.15 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s18)) | m_user_v_ack(c_e_h_2, c_u, s18))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s18)) | m_user_v_ack(c_e_h_2, c_u, s18))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24139,plain,
% 79.84/52.15 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s18)) | m_user_v_ack(c_e_h_2, c_u, s18))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24140,plain,
% 79.84/52.15 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s18)) | m_user_v_ack(c_e_h_2, c_u, s18)),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 79.84/52.15 tff(24141,plain,
% 79.84/52.15 ($false),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24140, 12627, 24137, 24136])).
% 79.84/52.15 tff(24142,plain,((~node23(s18)) | m_user_v_ack(c_e_h_2, c_u, s18)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.15 tff(24143,plain,
% 79.84/52.15 (~node23(s18)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24142, 24135])).
% 79.84/52.15 tff(24144,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22586, 22342])).
% 79.84/52.15 tff(24145,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22714, 20459, 24144, 20179])).
% 79.84/52.15 tff(24146,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22417, 22363, 22342])).
% 79.84/52.15 tff(24147,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22579, 24146])).
% 79.84/52.15 tff(24148,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22657, 24147, 20179, 20459, 24144])).
% 79.84/52.15 tff(24149,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22662, 3886, 24148])).
% 79.84/52.15 tff(24150,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22668, 238, 24149])).
% 79.84/52.15 tff(24151,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22738, 24150, 24145])).
% 79.84/52.15 tff(24152,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22881, 24145])).
% 79.84/52.15 tff(24153,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22479, 22082, 24146])).
% 79.84/52.15 tff(24154,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22569, 24153])).
% 79.84/52.15 tff(24155,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22910, 24154, 24148, 24152])).
% 79.84/52.15 tff(24156,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23017, 3886, 24155])).
% 79.84/52.15 tff(24157,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23021, 238, 24156])).
% 79.84/52.15 tff(24158,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23010, 24157, 24151])).
% 79.84/52.15 tff(24159,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22564, 24153, 22253])).
% 79.84/52.15 tff(24160,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22574, 24159])).
% 79.84/52.15 tff(24161,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22949, 24160, 24148, 24145, 24154])).
% 79.84/52.15 tff(24162,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23677, 3886, 24161])).
% 79.84/52.15 tff(24163,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23681, 238, 24162])).
% 79.84/52.15 tff(24164,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23706, 24163, 24158])).
% 79.84/52.15 tff(24165,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22862, 24159, 22779])).
% 79.84/52.15 tff(24166,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22867, 24165])).
% 79.84/52.15 tff(24167,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22984, 24158])).
% 79.84/52.15 tff(24168,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22979, 24167, 24161, 24166])).
% 79.84/52.15 tff(24169,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23661, 24168])).
% 79.84/52.15 tff(24170,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23715, 24169])).
% 79.84/52.15 tff(24171,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23738, 24170, 24164])).
% 79.84/52.15 tff(24172,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23753, 24164])).
% 79.84/52.15 tff(24173,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23369, 24159, 22771, 23097])).
% 79.84/52.15 tff(24174,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23667, 24173])).
% 79.84/52.15 tff(24175,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23786, 24168, 24174, 24172])).
% 79.84/52.15 tff(24176,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23872, 3886, 24175])).
% 79.84/52.15 tff(24177,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s16)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23876, 238, 24176])).
% 79.84/52.15 tff(24178,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23868, 24177, 24171])).
% 79.84/52.15 tff(24179,plain,
% 79.84/52.15 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23915, 7347, 24178])).
% 79.84/52.15 tff(24180,assumption,(~node23(s18)), introduced(assumption)).
% 79.84/52.15 tff(24181,assumption,(~node26(s19)), introduced(assumption)).
% 79.84/52.15 tff(24182,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22714, 24144, 20459, 20179])).
% 79.84/52.15 tff(24183,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[20495, 22674, 20179])).
% 79.84/52.15 tff(24184,plain,
% 79.84/52.15 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23153, 24183])).
% 79.84/52.15 tff(24185,plain,
% 79.84/52.15 (~node20(c_e_h_2, c_r, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23161, 24184])).
% 79.84/52.15 tff(24186,plain,
% 79.84/52.15 (~m_and_h_gate_v_out(c_e_h_2, c_r, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23185, 24185, 23165])).
% 79.84/52.15 tff(24187,assumption,(~m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.84/52.15 tff(24188,plain,
% 79.84/52.15 ($false),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22655, 3976, 20498, 24187])).
% 79.84/52.15 tff(24189,plain,(m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11) | m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)), inference(lemma,lemma(discharge,[]))).
% 79.84/52.15 tff(24190,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24189, 24183])).
% 79.84/52.15 tff(24191,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22417, 22342, 22363])).
% 79.84/52.15 tff(24192,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22579, 24191])).
% 79.84/52.15 tff(24193,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22622, 24144, 22596, 20459])).
% 79.84/52.15 tff(24194,plain,
% 79.84/52.15 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22648, 24193, 24192, 24190])).
% 79.84/52.15 tff(24195,plain,
% 79.84/52.15 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22662, 3886, 24194])).
% 79.84/52.15 tff(24196,plain,
% 79.84/52.15 (~node9(c_e_h_2, c_m, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22668, 238, 24195])).
% 79.84/52.15 tff(24197,plain,
% 79.84/52.15 (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24028, 24196, 24186, 24182])).
% 79.84/52.15 tff(24198,plain,
% 79.84/52.15 (~m_c_h_element_v_in2(c_e_h_2, c_e, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22778, 23506])).
% 79.84/52.15 tff(24199,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22479, 24191, 22082])).
% 79.84/52.15 tff(24200,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22564, 24199, 22253])).
% 79.84/52.15 tff(24201,plain,
% 79.84/52.15 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[22862, 24200, 24198])).
% 79.84/52.15 tff(24202,plain,
% 79.84/52.15 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23248, 9234, 24201])).
% 79.84/52.15 tff(24203,plain,
% 79.84/52.15 (~node20(c_e_h_2, c_r, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23252, 22, 24202])).
% 79.84/52.15 tff(24204,plain,
% 79.84/52.15 (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[23424, 24203, 24197])).
% 79.84/52.15 tff(24205,plain,
% 79.84/52.15 (~m_user_v_ack(c_e_h_2, c_u, s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24050, 24204])).
% 79.84/52.15 tff(24206,plain,
% 79.84/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s15) | (~node25(s15)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s15) | (~node25(s15)))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24207,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s15) | (~node25(s15)))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24208,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s15) | (~node25(s15))),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 79.84/52.15 tff(24209,plain,
% 79.84/52.15 (~node25(s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24208, 12613, 24205])).
% 79.84/52.15 tff(24210,plain,
% 79.84/52.15 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s15) | node24(s15) | node25(s15) | (~node26(s15)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s15) | node24(s15) | node25(s15) | (~node26(s15)))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24211,plain,
% 79.84/52.15 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s15) | node24(s15) | node25(s15) | (~node26(s15)))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24212,plain,
% 79.84/52.15 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s15) | node24(s15) | node25(s15) | (~node26(s15))),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24211, 24210])).
% 79.84/52.15 tff(24213,plain,
% 79.84/52.15 (node25(s15) | (~node26(s15))),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24212, 12641, 21062, 24126])).
% 79.84/52.15 tff(24214,plain,
% 79.84/52.15 (~node26(s15)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24213, 24209])).
% 79.84/52.15 tff(24215,plain,
% 79.84/52.15 (~m_user_v_ack(c_e_h_2, c_u, s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24036, 24197])).
% 79.84/52.15 tff(24216,plain,
% 79.84/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s14) | (~node25(s14)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s14) | (~node25(s14)))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24217,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s14) | (~node25(s14)))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24218,plain,
% 79.84/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s14) | (~node25(s14))),
% 79.84/52.15 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 79.84/52.15 tff(24219,plain,
% 79.84/52.15 (~node25(s14)),
% 79.84/52.15 inference(unit_resolution,[status(thm)],[24218, 12613, 24215])).
% 79.84/52.15 tff(24220,plain,
% 79.84/52.15 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s14) | node24(s14) | node25(s14) | (~node26(s14)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s14) | node24(s14) | node25(s14) | (~node26(s14)))),
% 79.84/52.15 inference(rewrite,[status(thm)],[])).
% 79.84/52.15 tff(24221,plain,
% 79.84/52.15 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s14) | node24(s14) | node25(s14) | (~node26(s14)))),
% 79.84/52.15 inference(quant_inst,[status(thm)],[])).
% 79.84/52.15 tff(24222,plain,
% 79.84/52.15 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s14) | node24(s14) | node25(s14) | (~node26(s14))),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 79.89/52.15 tff(24223,plain,
% 79.89/52.15 (~node26(s14)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24222, 12641, 21068, 24125, 24219])).
% 79.89/52.15 tff(24224,assumption,(m_user_v_ack(c_e_h_2, c_u, s12)), introduced(assumption)).
% 79.89/52.15 tff(24225,plain,
% 79.89/52.15 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24226,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24227,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 79.89/52.15 tff(24228,plain,
% 79.89/52.15 ($false),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24227, 7367, 24224, 23187])).
% 79.89/52.15 tff(24229,plain,((~m_user_v_ack(c_e_h_2, c_u, s12)) | m_and_h_gate_v_out(c_e_h_2, c_r, s12)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.15 tff(24230,plain,
% 79.89/52.15 (~m_user_v_ack(c_e_h_2, c_u, s12)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24229, 24186])).
% 79.89/52.15 tff(24231,plain,
% 79.89/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s12) | (~node25(s12)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s12) | (~node25(s12)))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24232,plain,
% 79.89/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s12) | (~node25(s12)))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24233,plain,
% 79.89/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s12) | (~node25(s12))),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24232, 24231])).
% 79.89/52.15 tff(24234,plain,
% 79.89/52.15 (~node25(s12)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24233, 12613, 24230])).
% 79.89/52.15 tff(24235,assumption,(m_user_v_ack(c_e_h_2, c_u, s11)), introduced(assumption)).
% 79.89/52.15 tff(24236,plain,
% 79.89/52.15 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24237,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24238,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24237, 24236])).
% 79.89/52.15 tff(24239,plain,
% 79.89/52.15 ($false),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24238, 7367, 24235, 23165])).
% 79.89/52.15 tff(24240,plain,((~m_user_v_ack(c_e_h_2, c_u, s11)) | m_and_h_gate_v_out(c_e_h_2, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.15 tff(24241,plain,
% 79.89/52.15 (~m_user_v_ack(c_e_h_2, c_u, s11)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24240, 23165])).
% 79.89/52.15 tff(24242,plain,
% 79.89/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24243,plain,
% 79.89/52.15 ((m_user_v_ack(c_e_h_2, c_u, s11) | (~node25(s11))) <=> ((~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24244,plain,
% 79.89/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s11) | (~node25(s11)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | ((~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11)))),
% 79.89/52.15 inference(monotonicity,[status(thm)],[24243])).
% 79.89/52.15 tff(24245,plain,
% 79.89/52.15 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s11) | (~node25(s11)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))),
% 79.89/52.15 inference(transitivity,[status(thm)],[24244, 24242])).
% 79.89/52.15 tff(24246,plain,
% 79.89/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s11) | (~node25(s11)))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24247,plain,
% 79.89/52.15 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (~node25(s11)) | m_user_v_ack(c_e_h_2, c_u, s11)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24246, 24245])).
% 79.89/52.15 tff(24248,plain,
% 79.89/52.15 (~node25(s11)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24247, 12613, 24241])).
% 79.89/52.15 tff(24249,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_r, s12)), introduced(assumption)).
% 79.89/52.15 tff(24250,plain,
% 79.89/52.15 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s12))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24251,plain,
% 79.89/52.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s12))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24252,plain,
% 79.89/52.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s12)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24251, 24250])).
% 79.89/52.15 tff(24253,plain,
% 79.89/52.15 ($false),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24252, 22, 23106, 24249])).
% 79.89/52.15 tff(24254,plain,(m_and_h_gate_v_in1(c_e_h_2, c_r, s12) | (~node20(c_e_h_2, c_r, s12))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.15 tff(24255,plain,
% 79.89/52.15 (m_and_h_gate_v_in1(c_e_h_2, c_r, s12)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24254, 23106])).
% 79.89/52.15 tff(24256,plain,
% 79.89/52.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24257,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s12))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24258,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s12)) | m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 79.89/52.15 tff(24259,plain,
% 79.89/52.15 (m_c_h_element_v_out(c_e_h_2, c_e, s12)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24258, 9234, 24255])).
% 79.89/52.15 tff(24260,plain,
% 79.89/52.15 (m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[22479, 24259, 22082])).
% 79.89/52.15 tff(24261,plain,
% 79.89/52.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24262,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11)))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24263,plain,
% 79.89/52.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 79.89/52.15 tff(24264,plain,
% 79.89/52.15 (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24263, 12541, 24260])).
% 79.89/52.15 tff(24265,plain,
% 79.89/52.15 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24266,plain,
% 79.89/52.15 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.15 tff(24267,plain,
% 79.89/52.15 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s11)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.89/52.15 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 79.89/52.15 tff(24268,plain,
% 79.89/52.15 (~node9(c_e_h_2, c_n, s11)),
% 79.89/52.15 inference(unit_resolution,[status(thm)],[24267, 12334, 24264])).
% 79.89/52.15 tff(24269,assumption,(~node9(c_e_h_2, c_n, s11)), introduced(assumption)).
% 79.89/52.15 tff(24270,plain,
% 79.89/52.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24271,plain,
% 79.89/52.15 ((node9(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s11, s12))) <=> ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.89/52.15 inference(rewrite,[status(thm)],[])).
% 79.89/52.15 tff(24272,plain,
% 79.89/52.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12))))),
% 79.89/52.15 inference(monotonicity,[status(thm)],[24271])).
% 79.89/52.15 tff(24273,plain,
% 79.89/52.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.89/52.15 inference(transitivity,[status(thm)],[24272, 24270])).
% 79.89/52.15 tff(24274,plain,
% 79.89/52.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node10(c_e_h_2, c_n, s11, s12)))),
% 79.89/52.15 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24275,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11) | (~node10(c_e_h_2, c_n, s11, s12))),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 79.89/52.16 tff(24276,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24275, 252, 22874, 22626, 24269])).
% 79.89/52.16 tff(24277,plain,((~node10(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | node9(c_e_h_2, c_n, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24278,plain,
% 79.89/52.16 (~node10(c_e_h_2, c_n, s11, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24277, 24268, 22874])).
% 79.89/52.16 tff(24279,plain,
% 79.89/52.16 (node11(c_e_h_2, c_n, s11, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22639, 24278])).
% 79.89/52.16 tff(24280,assumption,(node11(c_e_h_2, c_n, s11, s12)), introduced(assumption)).
% 79.89/52.16 tff(24281,plain,
% 79.89/52.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node11(c_e_h_2, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node11(c_e_h_2, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24282,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node11(c_e_h_2, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24283,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | (~node11(c_e_h_2, c_n, s11, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24282, 24281])).
% 79.89/52.16 tff(24284,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24283, 282, 22874, 24280, 22598])).
% 79.89/52.16 tff(24285,plain,((~node11(c_e_h_2, c_n, s11, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24286,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24285, 24279, 22874])).
% 79.89/52.16 tff(24287,plain,
% 79.89/52.16 (m_and_h_gate_v_in2(c_e_h_2, c_r, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23111, 23106])).
% 79.89/52.16 tff(24288,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23101, 7347, 24287])).
% 79.89/52.16 tff(24289,plain,
% 79.89/52.16 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22704, 24286])).
% 79.89/52.16 tff(24290,plain,
% 79.89/52.16 (~node9(c_e_h_2, c_m, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22712, 24289])).
% 79.89/52.16 tff(24291,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22696, 24290, 24288])).
% 79.89/52.16 tff(24292,plain,
% 79.89/52.16 (node9(c_e_h_2, c_m, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20495, 24291, 20179])).
% 79.89/52.16 tff(24293,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20472, 24292])).
% 79.89/52.16 tff(24294,plain,
% 79.89/52.16 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20464, 24293])).
% 79.89/52.16 tff(24295,assumption,(node11(c_e_h_2, c_n, s10, s11)), introduced(assumption)).
% 79.89/52.16 tff(24296,plain,
% 79.89/52.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24297,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24298,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node11(c_e_h_2, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 79.89/52.16 tff(24299,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24298, 282, 24295, 20431, 22624])).
% 79.89/52.16 tff(24300,plain,((~node11(c_e_h_2, c_n, s10, s11)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24301,plain,
% 79.89/52.16 (~node11(c_e_h_2, c_n, s10, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24300, 24294, 24286])).
% 79.89/52.16 tff(24302,plain,
% 79.89/52.16 (node10(c_e_h_2, c_n, s10, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22613, 24301])).
% 79.89/52.16 tff(24303,assumption,(~node9(c_e_h_2, c_n, s10)), introduced(assumption)).
% 79.89/52.16 tff(24304,plain,
% 79.89/52.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24305,plain,
% 79.89/52.16 ((node9(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s10, s11))) <=> ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24306,plain,
% 79.89/52.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | ((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10)))),
% 79.89/52.16 inference(monotonicity,[status(thm)],[24305])).
% 79.89/52.16 tff(24307,plain,
% 79.89/52.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(transitivity,[status(thm)],[24306, 24304])).
% 79.89/52.16 tff(24308,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_2, c_n, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | (~node10(c_e_h_2, c_n, s10, s11)))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24309,plain,
% 79.89/52.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 79.89/52.16 tff(24310,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24309, 252, 22600, 22624, 24303])).
% 79.89/52.16 tff(24311,plain,((~node10(c_e_h_2, c_n, s10, s11)) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)) | node9(c_e_h_2, c_n, s10)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24312,plain,
% 79.89/52.16 (node9(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24311, 24302, 24286])).
% 79.89/52.16 tff(24313,plain,
% 79.89/52.16 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24314,plain,
% 79.89/52.16 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24315,plain,
% 79.89/52.16 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_2, c_n, s10)) | m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24314, 24313])).
% 79.89/52.16 tff(24316,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24315, 12334, 24312])).
% 79.89/52.16 tff(24317,plain,
% 79.89/52.16 (m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22417, 24260, 22363])).
% 79.89/52.16 tff(24318,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24319,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10)))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24320,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_n, X)) | (~m_c_h_element_v_out(I0, c_e, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)) | (~m_c_h_element_v_out(c_e_h_2, c_e, s10))),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 79.89/52.16 tff(24321,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24320, 12541, 24317, 24316])).
% 79.89/52.16 tff(24322,plain,((~node20(c_e_h_2, c_r, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24323,plain,
% 79.89/52.16 (~node20(c_e_h_2, c_r, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24322, 22874, 20179, 22363, 22082])).
% 79.89/52.16 tff(24324,plain,
% 79.89/52.16 (m_and_h_gate_v_out(c_e_h_2, c_r, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23209, 24323, 23188])).
% 79.89/52.16 tff(24325,plain,
% 79.89/52.16 (node20(c_e_h_2, c_r, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23185, 24324, 23165])).
% 79.89/52.16 tff(24326,plain,
% 79.89/52.16 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24327,plain,
% 79.89/52.16 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s11))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24328,plain,
% 79.89/52.16 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_r, s11)) | m_and_h_gate_v_in1(c_e_h_2, c_r, s11)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 79.89/52.16 tff(24329,plain,
% 79.89/52.16 (m_and_h_gate_v_in1(c_e_h_2, c_r, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24328, 22, 24325])).
% 79.89/52.16 tff(24330,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24331,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_r, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s11))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24332,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_r, s11)) | m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24331, 24330])).
% 79.89/52.16 tff(24333,plain,
% 79.89/52.16 (m_c_h_element_v_out(c_e_h_2, c_e, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24332, 9234, 24329])).
% 79.89/52.16 tff(24334,plain,
% 79.89/52.16 (~m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24263, 12541, 24333])).
% 79.89/52.16 tff(24335,plain,
% 79.89/52.16 (~node9(c_e_h_2, c_n, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24267, 12334, 24334])).
% 79.89/52.16 tff(24336,plain,
% 79.89/52.16 (~node10(c_e_h_2, c_n, s11, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24277, 24335, 22874])).
% 79.89/52.16 tff(24337,plain,
% 79.89/52.16 (node11(c_e_h_2, c_n, s11, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22639, 24336])).
% 79.89/52.16 tff(24338,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24285, 24337, 22874])).
% 79.89/52.16 tff(24339,plain,
% 79.89/52.16 (m_and_h_gate_v_in2(c_e_h_2, c_r, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23159, 334, 24325])).
% 79.89/52.16 tff(24340,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[23153, 24339])).
% 79.89/52.16 tff(24341,plain,
% 79.89/52.16 (node9(c_e_h_2, c_m, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20495, 24340, 20179])).
% 79.89/52.16 tff(24342,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20472, 24341])).
% 79.89/52.16 tff(24343,plain,
% 79.89/52.16 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[20464, 24342])).
% 79.89/52.16 tff(24344,plain,
% 79.89/52.16 (~node11(c_e_h_2, c_n, s10, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24300, 24338, 24343])).
% 79.89/52.16 tff(24345,plain,
% 79.89/52.16 (node10(c_e_h_2, c_n, s10, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22613, 24344])).
% 79.89/52.16 tff(24346,plain,
% 79.89/52.16 (node9(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24311, 24345, 24338])).
% 79.89/52.16 tff(24347,plain,
% 79.89/52.16 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24315, 12334, 24346])).
% 79.89/52.16 tff(24348,plain,
% 79.89/52.16 (m_c_h_element_v_out(c_e_h_2, c_e, s10)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[22417, 24333, 22363])).
% 79.89/52.16 tff(24349,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24320, 12541, 24348, 24347])).
% 79.89/52.16 tff(24350,plain,((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | m_and_h_gate_v_out(c_e_h_2, c_r, s11) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24351,plain,
% 79.89/52.16 (~m_and_h_gate_v_out(c_e_h_2, c_r, s13)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24350, 24194, 22082, 23165, 22363, 20179])).
% 79.89/52.16 tff(24352,assumption,(m_user_v_ack(c_e_h_2, c_u, s13)), introduced(assumption)).
% 79.89/52.16 tff(24353,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24354,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_2, c_u, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24355,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_2, c_u, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24354, 24353])).
% 79.89/52.16 tff(24356,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24355, 7367, 24352, 23211])).
% 79.89/52.16 tff(24357,plain,((~m_user_v_ack(c_e_h_2, c_u, s13)) | m_and_h_gate_v_out(c_e_h_2, c_r, s13)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24358,plain,
% 79.89/52.16 (~m_user_v_ack(c_e_h_2, c_u, s13)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24357, 24351])).
% 79.89/52.16 tff(24359,plain,
% 79.89/52.16 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s13) | (~node25(s13)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s13) | (~node25(s13)))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24360,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s13) | (~node25(s13)))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24361,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s13) | (~node25(s13))),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 79.89/52.16 tff(24362,plain,
% 79.89/52.16 (~node25(s13)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24361, 12613, 24358])).
% 79.89/52.16 tff(24363,assumption,(~xuntil28(s13)), introduced(assumption)).
% 79.89/52.16 tff(24364,assumption,(~node25(s11)), introduced(assumption)).
% 79.89/52.16 tff(24365,assumption,(m_user_v_ack(c_e_h_1, c_u, s11)), introduced(assumption)).
% 79.89/52.16 tff(24366,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24367,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24368,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24367, 24366])).
% 79.89/52.16 tff(24369,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24368, 7367, 24365, 18547])).
% 79.89/52.16 tff(24370,plain,((~m_user_v_ack(c_e_h_1, c_u, s11)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24371,plain,
% 79.89/52.16 (~m_user_v_ack(c_e_h_1, c_u, s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24370, 18547])).
% 79.89/52.16 tff(24372,plain,
% 79.89/52.16 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | ((~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24373,plain,
% 79.89/52.16 ((m_user_v_ack(c_e_h_1, c_u, s11) | (~node23(s11))) <=> ((~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24374,plain,
% 79.89/52.16 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s11) | (~node23(s11)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | ((~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11)))),
% 79.89/52.16 inference(monotonicity,[status(thm)],[24373])).
% 79.89/52.16 tff(24375,plain,
% 79.89/52.16 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s11) | (~node23(s11)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11))),
% 79.89/52.16 inference(transitivity,[status(thm)],[24374, 24372])).
% 79.89/52.16 tff(24376,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s11) | (~node23(s11)))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24377,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (~node23(s11)) | m_user_v_ack(c_e_h_1, c_u, s11)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 79.89/52.16 tff(24378,plain,
% 79.89/52.16 (~node23(s11)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24377, 16519, 24371])).
% 79.89/52.16 tff(24379,assumption,(~node25(s12)), introduced(assumption)).
% 79.89/52.16 tff(24380,assumption,(~node25(s13)), introduced(assumption)).
% 79.89/52.16 tff(24381,plain,
% 79.89/52.16 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[18584, 18563, 18547])).
% 79.89/52.16 tff(24382,assumption,(m_user_v_ack(c_e_h_1, c_u, s12)), introduced(assumption)).
% 79.89/52.16 tff(24383,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24384,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24385,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24384, 24383])).
% 79.89/52.16 tff(24386,plain,
% 79.89/52.16 ($false),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24385, 7367, 24382, 18588])).
% 79.89/52.16 tff(24387,plain,((~m_user_v_ack(c_e_h_1, c_u, s12)) | m_and_h_gate_v_out(c_e_h_1, c_r, s12)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.16 tff(24388,plain,
% 79.89/52.16 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24387, 24381])).
% 79.89/52.16 tff(24389,plain,
% 79.89/52.16 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s12) | (~node23(s12)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s12) | (~node23(s12)))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24390,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s12) | (~node23(s12)))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.16 tff(24391,plain,
% 79.89/52.16 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s12) | (~node23(s12))),
% 79.89/52.16 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 79.89/52.16 tff(24392,plain,
% 79.89/52.16 (~node23(s12)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[24391, 16519, 24388])).
% 79.89/52.16 tff(24393,plain,
% 79.89/52.16 (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 79.89/52.16 inference(unit_resolution,[status(thm)],[18605, 24381, 18587])).
% 79.89/52.16 tff(24394,assumption,(m_user_v_ack(c_e_h_1, c_u, s13)), introduced(assumption)).
% 79.89/52.16 tff(24395,plain,
% 79.89/52.16 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))),
% 79.89/52.16 inference(rewrite,[status(thm)],[])).
% 79.89/52.16 tff(24396,plain,
% 79.89/52.16 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13))),
% 79.89/52.16 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24397,plain,
% 79.89/52.17 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24396, 24395])).
% 79.89/52.17 tff(24398,plain,
% 79.89/52.17 ($false),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24397, 7367, 24394, 18608])).
% 79.89/52.17 tff(24399,plain,((~m_user_v_ack(c_e_h_1, c_u, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.17 tff(24400,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_1, c_u, s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24399, 24393])).
% 79.89/52.17 tff(24401,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s13) | (~node23(s13)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s13) | (~node23(s13)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24402,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | (m_user_v_ack(c_e_h_1, c_u, s13) | (~node23(s13)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24403,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node23(X)))) | m_user_v_ack(c_e_h_1, c_u, s13) | (~node23(s13))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 79.89/52.17 tff(24404,plain,
% 79.89/52.17 (~node23(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24403, 16519, 24400])).
% 79.89/52.17 tff(24405,plain,
% 79.89/52.17 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[18584, 18547, 18563])).
% 79.89/52.17 tff(24406,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24387, 24405])).
% 79.89/52.17 tff(24407,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24408,plain,
% 79.89/52.17 ((m_user_v_ack(c_e_h_1, c_u, s12) | (~node24(s12))) <=> ((~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24409,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s12) | (~node24(s12)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12)))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24408])).
% 79.89/52.17 tff(24410,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s12) | (~node24(s12)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24409, 24407])).
% 79.89/52.17 tff(24411,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s12) | (~node24(s12)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24412,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s12)) | m_user_v_ack(c_e_h_1, c_u, s12)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 79.89/52.17 tff(24413,plain,
% 79.89/52.17 (~node24(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24412, 9500, 24406])).
% 79.89/52.17 tff(24414,assumption,(~node23(s12)), introduced(assumption)).
% 79.89/52.17 tff(24415,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s12) | node24(s12) | node25(s12) | (~node26(s12)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s12) | node24(s12) | node25(s12) | (~node26(s12)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24416,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s12) | node24(s12) | node25(s12) | (~node26(s12)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24417,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s12) | node24(s12) | node25(s12) | (~node26(s12))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24416, 24415])).
% 79.89/52.17 tff(24418,plain,
% 79.89/52.17 (node24(s12) | (~node26(s12))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24417, 12641, 24414, 24379])).
% 79.89/52.17 tff(24419,plain,
% 79.89/52.17 (~node26(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24418, 24413])).
% 79.89/52.17 tff(24420,plain,
% 79.89/52.17 (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[18605, 24405, 18587])).
% 79.89/52.17 tff(24421,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_1, c_u, s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24399, 24420])).
% 79.89/52.17 tff(24422,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s13) | (~node24(s13)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s13) | (~node24(s13)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24423,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s13) | (~node24(s13)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24424,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s13) | (~node24(s13))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24423, 24422])).
% 79.89/52.17 tff(24425,plain,
% 79.89/52.17 (~node24(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24424, 9500, 24421])).
% 79.89/52.17 tff(24426,assumption,(~node23(s13)), introduced(assumption)).
% 79.89/52.17 tff(24427,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s13) | node24(s13) | node25(s13) | (~node26(s13)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s13) | node24(s13) | node25(s13) | (~node26(s13)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24428,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s13) | node24(s13) | node25(s13) | (~node26(s13)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24429,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s13) | node24(s13) | node25(s13) | (~node26(s13))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24428, 24427])).
% 79.89/52.17 tff(24430,plain,
% 79.89/52.17 (node24(s13) | (~node26(s13))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24429, 12641, 24426, 24380])).
% 79.89/52.17 tff(24431,plain,
% 79.89/52.17 (~node26(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24430, 24425])).
% 79.89/52.17 tff(24432,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24433,plain,
% 79.89/52.17 (((~until27(s13)) | node26(s13) | xuntil28(s13)) <=> (xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24434,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s13)) | node26(s13) | xuntil28(s13))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13))))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24433])).
% 79.89/52.17 tff(24435,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s13)) | node26(s13) | xuntil28(s13))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24434, 24432])).
% 79.89/52.17 tff(24436,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s13)) | node26(s13) | xuntil28(s13))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24437,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24436, 24435])).
% 79.89/52.17 tff(24438,plain,
% 79.89/52.17 (node26(s13) | (~until27(s13))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24437, 17235, 24363])).
% 79.89/52.17 tff(24439,plain,
% 79.89/52.17 (~until27(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24438, 24431])).
% 79.89/52.17 tff(24440,plain,
% 79.89/52.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24441,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24442,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24441, 24440])).
% 79.89/52.17 tff(24443,plain,
% 79.89/52.17 ((~xuntil28(s12)) | until27(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24442, 8274, 17253])).
% 79.89/52.17 tff(24444,plain,
% 79.89/52.17 (~xuntil28(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24443, 24439])).
% 79.89/52.17 tff(24445,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s11) | (~node24(s11)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s11) | (~node24(s11)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24446,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s11) | (~node24(s11)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24447,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | m_user_v_ack(c_e_h_1, c_u, s11) | (~node24(s11))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 79.89/52.17 tff(24448,plain,
% 79.89/52.17 (~node24(s11)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24447, 9500, 24371])).
% 79.89/52.17 tff(24449,assumption,(~node23(s11)), introduced(assumption)).
% 79.89/52.17 tff(24450,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s11) | node24(s11) | node25(s11) | (~node26(s11)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s11) | node24(s11) | node25(s11) | (~node26(s11)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24451,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s11) | node24(s11) | node25(s11) | (~node26(s11)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24452,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s11) | node24(s11) | node25(s11) | (~node26(s11))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24451, 24450])).
% 79.89/52.17 tff(24453,plain,
% 79.89/52.17 (node24(s11) | (~node26(s11))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24452, 12641, 24449, 24364])).
% 79.89/52.17 tff(24454,plain,
% 79.89/52.17 (~node26(s11)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24453, 24448])).
% 79.89/52.17 tff(24455,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s11) | (~until27(s11)) | node26(s11))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s11) | (~until27(s11)) | node26(s11))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24456,plain,
% 79.89/52.17 (((~until27(s11)) | node26(s11) | xuntil28(s11)) <=> (xuntil28(s11) | (~until27(s11)) | node26(s11))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24457,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s11)) | node26(s11) | xuntil28(s11))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s11) | (~until27(s11)) | node26(s11)))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24456])).
% 79.89/52.17 tff(24458,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s11)) | node26(s11) | xuntil28(s11))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s11) | (~until27(s11)) | node26(s11))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24457, 24455])).
% 79.89/52.17 tff(24459,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s11)) | node26(s11) | xuntil28(s11))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24460,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s11) | (~until27(s11)) | node26(s11)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 79.89/52.17 tff(24461,plain,
% 79.89/52.17 (xuntil28(s11) | node26(s11)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24460, 17235, 22080])).
% 79.89/52.17 tff(24462,plain,
% 79.89/52.17 (xuntil28(s11)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24461, 24454])).
% 79.89/52.17 tff(24463,plain,
% 79.89/52.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24464,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24465,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 79.89/52.17 tff(24466,plain,
% 79.89/52.17 ((~xuntil28(s11)) | until27(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24465, 8206, 17253])).
% 79.89/52.17 tff(24467,plain,
% 79.89/52.17 (until27(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24466, 24462])).
% 79.89/52.17 tff(24468,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s12) | (~until27(s12)) | node26(s12))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s12) | (~until27(s12)) | node26(s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24469,plain,
% 79.89/52.17 (((~until27(s12)) | node26(s12) | xuntil28(s12)) <=> (xuntil28(s12) | (~until27(s12)) | node26(s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24470,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s12)) | node26(s12) | xuntil28(s12))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s12) | (~until27(s12)) | node26(s12)))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24469])).
% 79.89/52.17 tff(24471,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s12)) | node26(s12) | xuntil28(s12))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s12) | (~until27(s12)) | node26(s12))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24470, 24468])).
% 79.89/52.17 tff(24472,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s12)) | node26(s12) | xuntil28(s12))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24473,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s12) | (~until27(s12)) | node26(s12)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24472, 24471])).
% 79.89/52.17 tff(24474,plain,
% 79.89/52.17 ($false),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24473, 17235, 24467, 24444, 24419])).
% 79.89/52.17 tff(24475,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s11) | xuntil28(s13) | (~until27(s11)) | node23(s13) | node25(s13) | node23(s12) | node25(s12) | node23(s11) | node25(s11) | node20(c_e_h_1, c_r, s12) | node20(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.17 tff(24476,plain,
% 79.89/52.17 ($false),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24475, 24404, 24392, 24380, 18547, 18587, 22080, 24379, 24378, 24364, 24363, 18563])).
% 79.89/52.17 tff(24477,plain,(node20(c_e_h_1, c_r, s11) | node25(s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s12) | (~until27(s11)) | node25(s12) | node25(s11) | xuntil28(s13)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.17 tff(24478,plain,
% 79.89/52.17 (xuntil28(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24477, 24362, 18587, 24248, 18547, 24234, 18563, 22080])).
% 79.89/52.17 tff(24479,plain,
% 79.89/52.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24480,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24481,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24480, 24479])).
% 79.89/52.17 tff(24482,plain,
% 79.89/52.17 ((~xuntil28(s13)) | until27(s14)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24481, 8981, 17253])).
% 79.89/52.17 tff(24483,plain,
% 79.89/52.17 (until27(s14)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24482, 24478])).
% 79.89/52.17 tff(24484,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24485,plain,
% 79.89/52.17 (((~until27(s14)) | node26(s14) | xuntil28(s14)) <=> (xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24486,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s14)) | node26(s14) | xuntil28(s14))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14))))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24485])).
% 79.89/52.17 tff(24487,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s14)) | node26(s14) | xuntil28(s14))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24486, 24484])).
% 79.89/52.17 tff(24488,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s14)) | node26(s14) | xuntil28(s14))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24489,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 79.89/52.17 tff(24490,plain,
% 79.89/52.17 (xuntil28(s14) | node26(s14)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24489, 17235, 24483])).
% 79.89/52.17 tff(24491,plain,
% 79.89/52.17 (xuntil28(s14)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24490, 24223])).
% 79.89/52.17 tff(24492,plain,
% 79.89/52.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24493,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24494,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24493, 24492])).
% 79.89/52.17 tff(24495,plain,
% 79.89/52.17 ((~xuntil28(s14)) | until27(s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24494, 18660, 17253])).
% 79.89/52.17 tff(24496,plain,
% 79.89/52.17 (until27(s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24495, 24491])).
% 79.89/52.17 tff(24497,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s15) | (~until27(s15)) | node26(s15))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s15) | (~until27(s15)) | node26(s15))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24498,plain,
% 79.89/52.17 (((~until27(s15)) | node26(s15) | xuntil28(s15)) <=> (xuntil28(s15) | (~until27(s15)) | node26(s15))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24499,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s15)) | node26(s15) | xuntil28(s15))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s15) | (~until27(s15)) | node26(s15)))),
% 79.89/52.17 inference(monotonicity,[status(thm)],[24498])).
% 79.89/52.17 tff(24500,plain,
% 79.89/52.17 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s15)) | node26(s15) | xuntil28(s15))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s15) | (~until27(s15)) | node26(s15))),
% 79.89/52.17 inference(transitivity,[status(thm)],[24499, 24497])).
% 79.89/52.17 tff(24501,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s15)) | node26(s15) | xuntil28(s15))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24502,plain,
% 79.89/52.17 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s15) | (~until27(s15)) | node26(s15)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 79.89/52.17 tff(24503,plain,
% 79.89/52.17 (xuntil28(s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24502, 17235, 24496, 24214])).
% 79.89/52.17 tff(24504,plain,
% 79.89/52.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24505,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24506,plain,
% 79.89/52.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 79.89/52.17 tff(24507,plain,
% 79.89/52.17 ((~xuntil28(s15)) | until27(s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24506, 21995, 17253])).
% 79.89/52.17 tff(24508,plain,
% 79.89/52.17 (until27(s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24507, 24503])).
% 79.89/52.17 tff(24509,plain,
% 79.89/52.17 (~m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23621, 24200, 21061, 21071, 22081, 21070])).
% 79.89/52.17 tff(24510,plain,
% 79.89/52.17 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23625, 9234, 24509])).
% 79.89/52.17 tff(24511,plain,
% 79.89/52.17 (~node20(c_e_h_2, c_r, s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23629, 22, 24510])).
% 79.89/52.17 tff(24512,plain,
% 79.89/52.17 (~node20(c_e_h_2, c_i, s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23096, 23430])).
% 79.89/52.17 tff(24513,plain,
% 79.89/52.17 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23369, 24200, 23506, 24512])).
% 79.89/52.17 tff(24514,plain,
% 79.89/52.17 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23373, 9234, 24513])).
% 79.89/52.17 tff(24515,plain,
% 79.89/52.17 (~node20(c_e_h_2, c_r, s15)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23377, 22, 24514])).
% 79.89/52.17 tff(24516,plain,
% 79.89/52.17 (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23400, 24204, 24515])).
% 79.89/52.17 tff(24517,plain,
% 79.89/52.17 (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23653, 24516, 24511])).
% 79.89/52.17 tff(24518,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_2, c_u, s17)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23996, 24517])).
% 79.89/52.17 tff(24519,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s17) | (~node25(s17)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s17) | (~node25(s17)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24520,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s17) | (~node25(s17)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24521,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s17) | (~node25(s17))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 79.89/52.17 tff(24522,plain,
% 79.89/52.17 (~node25(s17)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24521, 12613, 24518])).
% 79.89/52.17 tff(24523,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s17) | node24(s17) | node25(s17) | (~node26(s17)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s17) | node24(s17) | node25(s17) | (~node26(s17)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24524,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s17) | node24(s17) | node25(s17) | (~node26(s17)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24525,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s17) | node24(s17) | node25(s17) | (~node26(s17))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24524, 24523])).
% 79.89/52.17 tff(24526,plain,
% 79.89/52.17 (node25(s17) | (~node26(s17))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24525, 12641, 24123, 24014])).
% 79.89/52.17 tff(24527,plain,
% 79.89/52.17 (~node26(s17)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24526, 24522])).
% 79.89/52.17 tff(24528,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_2, c_u, s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24008, 24516])).
% 79.89/52.17 tff(24529,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s16) | (~node25(s16)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s16) | (~node25(s16)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24530,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s16) | (~node25(s16)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24531,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s16) | (~node25(s16))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 79.89/52.17 tff(24532,plain,
% 79.89/52.17 (~node25(s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24531, 12613, 24528])).
% 79.89/52.17 tff(24533,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s16) | node24(s16) | node25(s16) | (~node26(s16)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s16) | node24(s16) | node25(s16) | (~node26(s16)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24534,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s16) | node24(s16) | node25(s16) | (~node26(s16)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24535,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s16) | node24(s16) | node25(s16) | (~node26(s16))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24534, 24533])).
% 79.89/52.17 tff(24536,plain,
% 79.89/52.17 (node25(s16) | (~node26(s16))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24535, 12641, 24124, 24002])).
% 79.89/52.17 tff(24537,plain,
% 79.89/52.17 (~node26(s16)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24536, 24532])).
% 79.89/52.17 tff(24538,plain,
% 79.89/52.17 (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[23946, 24517, 23930])).
% 79.89/52.17 tff(24539,plain,
% 79.89/52.17 (~m_user_v_ack(c_e_h_2, c_u, s18)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24134, 24538])).
% 79.89/52.17 tff(24540,assumption,(node25(s18)), introduced(assumption)).
% 79.89/52.17 tff(24541,plain,
% 79.89/52.17 (((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s18) | (~node25(s18)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s18) | (~node25(s18)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24542,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | (m_user_v_ack(c_e_h_2, c_u, s18) | (~node25(s18)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24543,plain,
% 79.89/52.17 ((~![X: $i] : (m_user_v_ack(c_e_h_2, c_u, X) | (~node25(X)))) | m_user_v_ack(c_e_h_2, c_u, s18) | (~node25(s18))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 79.89/52.17 tff(24544,plain,
% 79.89/52.17 ($false),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24543, 12613, 24137, 24540])).
% 79.89/52.17 tff(24545,plain,((~node25(s18)) | m_user_v_ack(c_e_h_2, c_u, s18)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.17 tff(24546,plain,
% 79.89/52.17 (~node25(s18)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24545, 24539])).
% 79.89/52.17 tff(24547,plain,
% 79.89/52.17 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s18) | node24(s18) | node25(s18) | (~node26(s18)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s18) | node24(s18) | node25(s18) | (~node26(s18)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24548,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s18) | node24(s18) | node25(s18) | (~node26(s18)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24549,plain,
% 79.89/52.17 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s18) | node24(s18) | node25(s18) | (~node26(s18))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24548, 24547])).
% 79.89/52.17 tff(24550,plain,
% 79.89/52.17 (node25(s18) | (~node26(s18))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24549, 12641, 24180, 24128])).
% 79.89/52.17 tff(24551,plain,
% 79.89/52.17 (~node26(s18)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24550, 24546])).
% 79.89/52.17 tff(24552,plain,
% 79.89/52.17 (~node23(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24403, 16519, 24421])).
% 79.89/52.17 tff(24553,plain,
% 79.89/52.17 (node25(s13) | (~node26(s13))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24429, 12641, 24552, 24425])).
% 79.89/52.17 tff(24554,plain,
% 79.89/52.17 (~node26(s13)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24553, 24362])).
% 79.89/52.17 tff(24555,plain,
% 79.89/52.17 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s12)) | m_user_v_ack(c_e_h_2, c_u, s12))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s12)) | m_user_v_ack(c_e_h_2, c_u, s12))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24556,plain,
% 79.89/52.17 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s12)) | m_user_v_ack(c_e_h_2, c_u, s12))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24557,plain,
% 79.89/52.17 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s12)) | m_user_v_ack(c_e_h_2, c_u, s12)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 79.89/52.17 tff(24558,plain,
% 79.89/52.17 (~node23(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24557, 12627, 24230])).
% 79.89/52.17 tff(24559,plain,
% 79.89/52.17 (node24(s12) | (~node26(s12))),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24417, 12641, 24558, 24234])).
% 79.89/52.17 tff(24560,plain,
% 79.89/52.17 (~node26(s12)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24559, 24413])).
% 79.89/52.17 tff(24561,plain,
% 79.89/52.17 (^[X: $i] : refl(((~last(X)) | (~xuntil2p30(X))) <=> ((~last(X)) | (~xuntil2p30(X))))),
% 79.89/52.17 inference(bind,[status(th)],[])).
% 79.89/52.17 tff(24562,plain,
% 79.89/52.17 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 79.89/52.17 inference(quant_intro,[status(thm)],[24561])).
% 79.89/52.17 tff(24563,plain,
% 79.89/52.17 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24564,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty14')).
% 79.89/52.17 tff(24565,plain,
% 79.89/52.17 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 79.89/52.17 tff(24566,plain,(
% 79.89/52.17 ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 79.89/52.17 inference(skolemize,[status(sab)],[24565])).
% 79.89/52.17 tff(24567,plain,
% 79.89/52.17 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24566, 24562])).
% 79.89/52.17 tff(24568,plain,
% 79.89/52.17 (last(s19) <=> last(s19)),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24569,axiom,(last(s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 79.89/52.17 tff(24570,plain,
% 79.89/52.17 (last(s19)),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 79.89/52.17 tff(24571,plain,
% 79.89/52.17 (((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s19)) | (~xuntil2p30(s19)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s19)) | (~xuntil2p30(s19)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24572,plain,
% 79.89/52.17 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s19)) | (~xuntil2p30(s19)))),
% 79.89/52.17 inference(quant_inst,[status(thm)],[])).
% 79.89/52.17 tff(24573,plain,
% 79.89/52.17 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s19)) | (~xuntil2p30(s19))),
% 79.89/52.17 inference(modus_ponens,[status(thm)],[24572, 24571])).
% 79.89/52.17 tff(24574,plain,
% 79.89/52.17 (~xuntil2p30(s19)),
% 79.89/52.17 inference(unit_resolution,[status(thm)],[24573, 24570, 24567])).
% 79.89/52.17 tff(24575,plain,
% 79.89/52.17 (^[X: $i] : refl((node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 79.89/52.17 inference(bind,[status(th)],[])).
% 79.89/52.17 tff(24576,plain,
% 79.89/52.17 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.17 inference(quant_intro,[status(thm)],[24575])).
% 79.89/52.17 tff(24577,plain,
% 79.89/52.17 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.17 inference(rewrite,[status(thm)],[])).
% 79.89/52.17 tff(24578,plain,
% 79.89/52.17 (^[X: $i] : rewrite(((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 79.89/52.17 inference(bind,[status(th)],[])).
% 79.89/52.17 tff(24579,plain,
% 79.89/52.17 (![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.18 inference(quant_intro,[status(thm)],[24578])).
% 79.89/52.18 tff(24580,axiom,(![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 79.89/52.18 tff(24581,plain,
% 79.89/52.18 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24580, 24579])).
% 79.89/52.18 tff(24582,plain,
% 79.89/52.18 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24581, 24577])).
% 79.89/52.18 tff(24583,plain,(
% 79.89/52.18 ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.18 inference(skolemize,[status(sab)],[24582])).
% 79.89/52.18 tff(24584,plain,
% 79.89/52.18 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24583, 24576])).
% 79.89/52.18 tff(24585,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24586,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24587,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24586, 24585])).
% 79.89/52.18 tff(24588,plain,
% 79.89/52.18 (node26(s19) | (~until2p29(s19))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24587, 24584, 24574])).
% 79.89/52.18 tff(24589,plain,
% 79.89/52.18 (~until2p29(s19)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24588, 24181])).
% 79.89/52.18 tff(24590,plain,
% 79.89/52.18 (((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))) <=> ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24591,plain,
% 79.89/52.18 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | ((~node23(s11)) | m_user_v_ack(c_e_h_2, c_u, s11))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24592,plain,
% 79.89/52.18 ((~![X: $i] : ((~node23(X)) | m_user_v_ack(c_e_h_2, c_u, X))) | (~node23(s11)) | m_user_v_ack(c_e_h_2, c_u, s11)),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24591, 24590])).
% 79.89/52.18 tff(24593,plain,
% 79.89/52.18 (~node23(s11)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24592, 12627, 24241])).
% 79.89/52.18 tff(24594,plain,
% 79.89/52.18 (node24(s11) | (~node26(s11))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24452, 12641, 24593, 24248])).
% 79.89/52.18 tff(24595,plain,
% 79.89/52.18 (~node26(s11)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24594, 24448])).
% 79.89/52.18 tff(24596,plain,
% 79.89/52.18 (~node24(s7)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[17366, 9500, 16112])).
% 79.89/52.18 tff(24597,plain,
% 79.89/52.18 (node25(s7) | (~node26(s7))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[17350, 12641, 16543, 24596])).
% 79.89/52.18 tff(24598,plain,
% 79.89/52.18 (~node26(s7)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24597, 16539])).
% 79.89/52.18 tff(24599,assumption,(xuntil28(s19)), introduced(assumption)).
% 79.89/52.18 tff(24600,assumption,(~until2p29(s19)), introduced(assumption)).
% 79.89/52.18 tff(24601,plain,
% 79.89/52.18 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 79.89/52.18 inference(bind,[status(th)],[])).
% 79.89/52.18 tff(24602,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(quant_intro,[status(thm)],[24601])).
% 79.89/52.18 tff(24603,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24604,plain,
% 79.89/52.18 (^[Y: $i, X: $i] : rewrite(((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 79.89/52.18 inference(bind,[status(th)],[])).
% 79.89/52.18 tff(24605,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(quant_intro,[status(thm)],[24604])).
% 79.89/52.18 tff(24606,axiom,(![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty13')).
% 79.89/52.18 tff(24607,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 79.89/52.18 tff(24608,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24607, 24603])).
% 79.89/52.18 tff(24609,plain,(
% 79.89/52.18 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(skolemize,[status(sab)],[24608])).
% 79.89/52.18 tff(24610,plain,
% 79.89/52.18 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24609, 24602])).
% 79.89/52.18 tff(24611,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24612,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24613,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24612, 24611])).
% 79.89/52.18 tff(24614,plain,
% 79.89/52.18 (until2p29(s19) | (~xuntil2p30(s18))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24613, 23967, 24610])).
% 79.89/52.18 tff(24615,plain,
% 79.89/52.18 (~xuntil2p30(s18)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24614, 24600])).
% 79.89/52.18 tff(24616,assumption,(~node26(s18)), introduced(assumption)).
% 79.89/52.18 tff(24617,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24618,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24619,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 79.89/52.18 tff(24620,plain,
% 79.89/52.18 (xuntil2p30(s18) | (~until2p29(s18))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24619, 24584, 24616])).
% 79.89/52.18 tff(24621,plain,
% 79.89/52.18 (~until2p29(s18)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24620, 24615])).
% 79.89/52.18 tff(24622,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24623,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24624,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 79.89/52.18 tff(24625,plain,
% 79.89/52.18 (until2p29(s18) | (~xuntil2p30(s17))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24624, 22139, 24610])).
% 79.89/52.18 tff(24626,plain,
% 79.89/52.18 (~xuntil2p30(s17)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24625, 24621])).
% 79.89/52.18 tff(24627,assumption,(~node26(s17)), introduced(assumption)).
% 79.89/52.18 tff(24628,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24629,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24630,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24629, 24628])).
% 79.89/52.18 tff(24631,plain,
% 79.89/52.18 (xuntil2p30(s17) | (~until2p29(s17))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24630, 24584, 24627])).
% 79.89/52.18 tff(24632,plain,
% 79.89/52.18 (~until2p29(s17)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24631, 24626])).
% 79.89/52.18 tff(24633,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24634,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24635,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24634, 24633])).
% 79.89/52.18 tff(24636,plain,
% 79.89/52.18 (until2p29(s17) | (~xuntil2p30(s16))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24635, 22049, 24610])).
% 79.89/52.18 tff(24637,plain,
% 79.89/52.18 (~xuntil2p30(s16)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24636, 24632])).
% 79.89/52.18 tff(24638,assumption,(~node26(s16)), introduced(assumption)).
% 79.89/52.18 tff(24639,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24640,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24641,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 79.89/52.18 tff(24642,plain,
% 79.89/52.18 (xuntil2p30(s16) | (~until2p29(s16))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24641, 24584, 24638])).
% 79.89/52.18 tff(24643,plain,
% 79.89/52.18 (~until2p29(s16)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24642, 24637])).
% 79.89/52.18 tff(24644,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24645,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24646,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 79.89/52.18 tff(24647,plain,
% 79.89/52.18 (until2p29(s16) | (~xuntil2p30(s15))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24646, 21995, 24610])).
% 79.89/52.18 tff(24648,plain,
% 79.89/52.18 (~xuntil2p30(s15)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24647, 24643])).
% 79.89/52.18 tff(24649,assumption,(~node26(s15)), introduced(assumption)).
% 79.89/52.18 tff(24650,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24651,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24652,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 79.89/52.18 tff(24653,plain,
% 79.89/52.18 (xuntil2p30(s15) | (~until2p29(s15))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24652, 24584, 24649])).
% 79.89/52.18 tff(24654,plain,
% 79.89/52.18 (~until2p29(s15)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24653, 24648])).
% 79.89/52.18 tff(24655,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24656,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24657,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 79.89/52.18 tff(24658,plain,
% 79.89/52.18 (until2p29(s15) | (~xuntil2p30(s14))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24657, 18660, 24610])).
% 79.89/52.18 tff(24659,plain,
% 79.89/52.18 (~xuntil2p30(s14)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24658, 24654])).
% 79.89/52.18 tff(24660,assumption,(~node26(s14)), introduced(assumption)).
% 79.89/52.18 tff(24661,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24662,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24663,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24662, 24661])).
% 79.89/52.18 tff(24664,plain,
% 79.89/52.18 (xuntil2p30(s14) | (~until2p29(s14))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24663, 24584, 24660])).
% 79.89/52.18 tff(24665,plain,
% 79.89/52.18 (~until2p29(s14)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24664, 24659])).
% 79.89/52.18 tff(24666,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24667,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24668,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 79.89/52.18 tff(24669,plain,
% 79.89/52.18 (until2p29(s14) | (~xuntil2p30(s13))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24668, 8981, 24610])).
% 79.89/52.18 tff(24670,plain,
% 79.89/52.18 (~xuntil2p30(s13)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24669, 24665])).
% 79.89/52.18 tff(24671,assumption,(~node26(s13)), introduced(assumption)).
% 79.89/52.18 tff(24672,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24673,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24674,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 79.89/52.18 tff(24675,plain,
% 79.89/52.18 (xuntil2p30(s13) | (~until2p29(s13))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24674, 24584, 24671])).
% 79.89/52.18 tff(24676,plain,
% 79.89/52.18 (~until2p29(s13)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24675, 24670])).
% 79.89/52.18 tff(24677,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24678,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24679,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24678, 24677])).
% 79.89/52.18 tff(24680,plain,
% 79.89/52.18 (until2p29(s13) | (~xuntil2p30(s12))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24679, 8274, 24610])).
% 79.89/52.18 tff(24681,plain,
% 79.89/52.18 (~xuntil2p30(s12)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24680, 24676])).
% 79.89/52.18 tff(24682,assumption,(~node26(s12)), introduced(assumption)).
% 79.89/52.18 tff(24683,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24684,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24685,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24684, 24683])).
% 79.89/52.18 tff(24686,plain,
% 79.89/52.18 (xuntil2p30(s12) | (~until2p29(s12))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24685, 24584, 24682])).
% 79.89/52.18 tff(24687,plain,
% 79.89/52.18 (~until2p29(s12)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24686, 24681])).
% 79.89/52.18 tff(24688,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24689,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24690,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24689, 24688])).
% 79.89/52.18 tff(24691,plain,
% 79.89/52.18 (until2p29(s12) | (~xuntil2p30(s11))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24690, 8206, 24610])).
% 79.89/52.18 tff(24692,plain,
% 79.89/52.18 (~xuntil2p30(s11)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24691, 24687])).
% 79.89/52.18 tff(24693,assumption,(~node26(s11)), introduced(assumption)).
% 79.89/52.18 tff(24694,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24695,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24696,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 79.89/52.18 tff(24697,plain,
% 79.89/52.18 (xuntil2p30(s11) | (~until2p29(s11))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24696, 24584, 24693])).
% 79.89/52.18 tff(24698,plain,
% 79.89/52.18 (~until2p29(s11)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24697, 24692])).
% 79.89/52.18 tff(24699,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24700,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24701,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24700, 24699])).
% 79.89/52.18 tff(24702,plain,
% 79.89/52.18 (until2p29(s11) | (~xuntil2p30(s10))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24701, 8011, 24610])).
% 79.89/52.18 tff(24703,plain,
% 79.89/52.18 (~xuntil2p30(s10)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24702, 24698])).
% 79.89/52.18 tff(24704,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24705,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24706,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 79.89/52.18 tff(24707,plain,
% 79.89/52.18 (xuntil2p30(s10) | (~until2p29(s10))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24706, 24584, 21069])).
% 79.89/52.18 tff(24708,plain,
% 79.89/52.18 (~until2p29(s10)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24707, 24703])).
% 79.89/52.18 tff(24709,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24710,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24711,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24710, 24709])).
% 79.89/52.18 tff(24712,plain,
% 79.89/52.18 (until2p29(s10) | (~xuntil2p30(s9))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24711, 6035, 24610])).
% 79.89/52.18 tff(24713,plain,
% 79.89/52.18 (~xuntil2p30(s9)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24712, 24708])).
% 79.89/52.18 tff(24714,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24715,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24716,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24715, 24714])).
% 79.89/52.18 tff(24717,plain,
% 79.89/52.18 (xuntil2p30(s9) | (~until2p29(s9))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24716, 24584, 24127])).
% 79.89/52.18 tff(24718,plain,
% 79.89/52.18 (~until2p29(s9)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24717, 24713])).
% 79.89/52.18 tff(24719,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24720,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24721,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 79.89/52.18 tff(24722,plain,
% 79.89/52.18 (until2p29(s9) | (~xuntil2p30(s8))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24721, 3709, 24610])).
% 79.89/52.18 tff(24723,plain,
% 79.89/52.18 (~xuntil2p30(s8)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24722, 24718])).
% 79.89/52.18 tff(24724,assumption,(~node26(s8)), introduced(assumption)).
% 79.89/52.18 tff(24725,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24726,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24727,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 79.89/52.18 tff(24728,plain,
% 79.89/52.18 (xuntil2p30(s8) | (~until2p29(s8))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24727, 24584, 24724])).
% 79.89/52.18 tff(24729,plain,
% 79.89/52.18 (~until2p29(s8)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24728, 24723])).
% 79.89/52.18 tff(24730,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24731,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24732,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24731, 24730])).
% 79.89/52.18 tff(24733,plain,
% 79.89/52.18 (until2p29(s8) | (~xuntil2p30(s7))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24732, 2452, 24610])).
% 79.89/52.18 tff(24734,plain,
% 79.89/52.18 (~xuntil2p30(s7)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24733, 24729])).
% 79.89/52.18 tff(24735,assumption,(~node26(s7)), introduced(assumption)).
% 79.89/52.18 tff(24736,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24737,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24738,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24737, 24736])).
% 79.89/52.18 tff(24739,plain,
% 79.89/52.18 (xuntil2p30(s7) | (~until2p29(s7))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24738, 24584, 24735])).
% 79.89/52.18 tff(24740,plain,
% 79.89/52.18 (~until2p29(s7)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24739, 24734])).
% 79.89/52.18 tff(24741,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24742,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24743,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 79.89/52.18 tff(24744,plain,
% 79.89/52.18 (until2p29(s7) | (~xuntil2p30(s6))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24743, 1681, 24610])).
% 79.89/52.18 tff(24745,plain,
% 79.89/52.18 (~xuntil2p30(s6)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24744, 24740])).
% 79.89/52.18 tff(24746,plain,
% 79.89/52.18 (~node24(s6)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[16551, 9500, 15257])).
% 79.89/52.18 tff(24747,plain,
% 79.89/52.18 (~node26(s6)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[16571, 24746])).
% 79.89/52.18 tff(24748,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24749,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24750,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24749, 24748])).
% 79.89/52.18 tff(24751,plain,
% 79.89/52.18 (xuntil2p30(s6) | (~until2p29(s6))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24750, 24584, 24747])).
% 79.89/52.18 tff(24752,plain,
% 79.89/52.18 (~until2p29(s6)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24751, 24745])).
% 79.89/52.18 tff(24753,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24754,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24755,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24754, 24753])).
% 79.89/52.18 tff(24756,plain,
% 79.89/52.18 (until2p29(s6) | (~xuntil2p30(s5))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24755, 1339, 24610])).
% 79.89/52.18 tff(24757,plain,
% 79.89/52.18 (~xuntil2p30(s5)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24756, 24752])).
% 79.89/52.18 tff(24758,plain,
% 79.89/52.18 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24759,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24760,plain,
% 79.89/52.18 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24759, 24758])).
% 79.89/52.18 tff(24761,plain,
% 79.89/52.18 (xuntil2p30(s5) | (~until2p29(s5))),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24760, 24584, 16596])).
% 79.89/52.18 tff(24762,plain,
% 79.89/52.18 (~until2p29(s5)),
% 79.89/52.18 inference(unit_resolution,[status(thm)],[24761, 24757])).
% 79.89/52.18 tff(24763,plain,
% 79.89/52.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 79.89/52.18 inference(rewrite,[status(thm)],[])).
% 79.89/52.18 tff(24764,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 79.89/52.18 inference(quant_inst,[status(thm)],[])).
% 79.89/52.18 tff(24765,plain,
% 79.89/52.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4))),
% 79.89/52.18 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 79.89/52.18 tff(24766,plain,
% 79.89/52.18 (until2p29(s5) | (~xuntil2p30(s4))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24765, 926, 24610])).
% 79.89/52.19 tff(24767,plain,
% 79.89/52.19 (~xuntil2p30(s4)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24766, 24762])).
% 79.89/52.19 tff(24768,plain,
% 79.89/52.19 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24769,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24770,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24769, 24768])).
% 79.89/52.19 tff(24771,plain,
% 79.89/52.19 (xuntil2p30(s4) | (~until2p29(s4))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24770, 24584, 17096])).
% 79.89/52.19 tff(24772,plain,
% 79.89/52.19 (~until2p29(s4)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24771, 24767])).
% 79.89/52.19 tff(24773,plain,
% 79.89/52.19 (^[Y: $i, X: $i] : refl(((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y)) <=> ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y)))),
% 79.89/52.19 inference(bind,[status(th)],[])).
% 79.89/52.19 tff(24774,plain,
% 79.89/52.19 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(quant_intro,[status(thm)],[24773])).
% 79.89/52.19 tff(24775,plain,
% 79.89/52.19 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24776,plain,
% 79.89/52.19 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p29(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~last(X)) | (~trans(X, Y)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> (((~last(X)) | (~trans(X, Y)) | until2p29(Y)) | (~xuntil28(X))))), rewrite((((~last(X)) | (~trans(X, Y)) | until2p29(Y)) | (~xuntil28(X))) <=> ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))))),
% 79.89/52.19 inference(bind,[status(th)],[])).
% 79.89/52.19 tff(24777,plain,
% 79.89/52.19 (![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(quant_intro,[status(thm)],[24776])).
% 79.89/52.19 tff(24778,axiom,(![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 79.89/52.19 tff(24779,plain,
% 79.89/52.19 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 79.89/52.19 tff(24780,plain,
% 79.89/52.19 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24779, 24775])).
% 79.89/52.19 tff(24781,plain,(
% 79.89/52.19 ![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(skolemize,[status(sab)],[24780])).
% 79.89/52.19 tff(24782,plain,
% 79.89/52.19 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24781, 24774])).
% 79.89/52.19 tff(24783,assumption,(~until2p29(s6)), introduced(assumption)).
% 79.89/52.19 tff(24784,assumption,(trans(s19, s6)), introduced(assumption)).
% 79.89/52.19 tff(24785,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24786,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)) | until2p29(s6)) <=> (until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24787,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24786])).
% 79.89/52.19 tff(24788,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24787, 24785])).
% 79.89/52.19 tff(24789,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6)) | until2p29(s6))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24790,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s6) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s6))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24789, 24788])).
% 79.89/52.19 tff(24791,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24790, 24570, 24784, 24782, 24783, 24599])).
% 79.89/52.19 tff(24792,plain,((~trans(s19, s6)) | until2p29(s6) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24793,plain,
% 79.89/52.19 (~trans(s19, s6)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24792, 24752, 24599])).
% 79.89/52.19 tff(24794,assumption,(~until2p29(s12)), introduced(assumption)).
% 79.89/52.19 tff(24795,assumption,(trans(s19, s12)), introduced(assumption)).
% 79.89/52.19 tff(24796,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24797,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)) | until2p29(s12)) <=> (until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24798,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24797])).
% 79.89/52.19 tff(24799,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24798, 24796])).
% 79.89/52.19 tff(24800,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12)) | until2p29(s12))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24801,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s12) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s12))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 79.89/52.19 tff(24802,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24801, 24570, 24795, 24782, 24794, 24599])).
% 79.89/52.19 tff(24803,plain,((~trans(s19, s12)) | until2p29(s12) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24804,plain,
% 79.89/52.19 (~trans(s19, s12)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24803, 24687, 24599])).
% 79.89/52.19 tff(24805,assumption,(~until2p29(s11)), introduced(assumption)).
% 79.89/52.19 tff(24806,assumption,(trans(s19, s11)), introduced(assumption)).
% 79.89/52.19 tff(24807,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24808,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)) | until2p29(s11)) <=> (until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24809,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24808])).
% 79.89/52.19 tff(24810,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24809, 24807])).
% 79.89/52.19 tff(24811,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11)) | until2p29(s11))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24812,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s11) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s11))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24811, 24810])).
% 79.89/52.19 tff(24813,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24812, 24570, 24806, 24782, 24805, 24599])).
% 79.89/52.19 tff(24814,plain,((~trans(s19, s11)) | until2p29(s11) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24815,plain,
% 79.89/52.19 (~trans(s19, s11)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24814, 24698, 24599])).
% 79.89/52.19 tff(24816,assumption,(~until2p29(s16)), introduced(assumption)).
% 79.89/52.19 tff(24817,assumption,(trans(s19, s16)), introduced(assumption)).
% 79.89/52.19 tff(24818,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24819,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)) | until2p29(s16)) <=> (until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24820,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24819])).
% 79.89/52.19 tff(24821,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24820, 24818])).
% 79.89/52.19 tff(24822,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16)) | until2p29(s16))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24823,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s16) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s16))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24822, 24821])).
% 79.89/52.19 tff(24824,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24823, 24570, 24817, 24782, 24816, 24599])).
% 79.89/52.19 tff(24825,plain,((~trans(s19, s16)) | until2p29(s16) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24826,plain,
% 79.89/52.19 (~trans(s19, s16)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24825, 24643, 24599])).
% 79.89/52.19 tff(24827,assumption,(~until2p29(s14)), introduced(assumption)).
% 79.89/52.19 tff(24828,assumption,(trans(s19, s14)), introduced(assumption)).
% 79.89/52.19 tff(24829,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24830,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)) | until2p29(s14)) <=> (until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24831,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24830])).
% 79.89/52.19 tff(24832,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24831, 24829])).
% 79.89/52.19 tff(24833,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14)) | until2p29(s14))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24834,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s14) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s14))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24833, 24832])).
% 79.89/52.19 tff(24835,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24834, 24570, 24828, 24782, 24827, 24599])).
% 79.89/52.19 tff(24836,plain,((~trans(s19, s14)) | until2p29(s14) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24837,plain,
% 79.89/52.19 (~trans(s19, s14)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24836, 24665, 24599])).
% 79.89/52.19 tff(24838,assumption,(~until2p29(s18)), introduced(assumption)).
% 79.89/52.19 tff(24839,assumption,(trans(s19, s18)), introduced(assumption)).
% 79.89/52.19 tff(24840,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24841,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)) | until2p29(s18)) <=> (until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24842,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24841])).
% 79.89/52.19 tff(24843,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24842, 24840])).
% 79.89/52.19 tff(24844,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18)) | until2p29(s18))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24845,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s18) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s18))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 79.89/52.19 tff(24846,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24845, 24570, 24839, 24782, 24838, 24599])).
% 79.89/52.19 tff(24847,plain,((~trans(s19, s18)) | until2p29(s18) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24848,plain,
% 79.89/52.19 (~trans(s19, s18)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24847, 24621, 24599])).
% 79.89/52.19 tff(24849,assumption,(~until2p29(s5)), introduced(assumption)).
% 79.89/52.19 tff(24850,assumption,(trans(s19, s5)), introduced(assumption)).
% 79.89/52.19 tff(24851,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24852,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)) | until2p29(s5)) <=> (until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24853,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24852])).
% 79.89/52.19 tff(24854,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24853, 24851])).
% 79.89/52.19 tff(24855,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5)) | until2p29(s5))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24856,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s5) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s5))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24855, 24854])).
% 79.89/52.19 tff(24857,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24856, 24570, 24850, 24782, 24849, 24599])).
% 79.89/52.19 tff(24858,plain,((~trans(s19, s5)) | until2p29(s5) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24859,plain,
% 79.89/52.19 (~trans(s19, s5)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24858, 24762, 24599])).
% 79.89/52.19 tff(24860,assumption,(~until2p29(s10)), introduced(assumption)).
% 79.89/52.19 tff(24861,assumption,(trans(s19, s10)), introduced(assumption)).
% 79.89/52.19 tff(24862,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24863,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)) | until2p29(s10)) <=> (until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24864,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10))))),
% 79.89/52.19 inference(monotonicity,[status(thm)],[24863])).
% 79.89/52.19 tff(24865,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)))),
% 79.89/52.19 inference(transitivity,[status(thm)],[24864, 24862])).
% 79.89/52.19 tff(24866,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10)) | until2p29(s10))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24867,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s10) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s10))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 79.89/52.19 tff(24868,plain,
% 79.89/52.19 ($false),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24867, 24570, 24861, 24782, 24860, 24599])).
% 79.89/52.19 tff(24869,plain,((~trans(s19, s10)) | until2p29(s10) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.19 tff(24870,plain,
% 79.89/52.19 (~trans(s19, s10)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24869, 24708, 24599])).
% 79.89/52.19 tff(24871,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24872,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24873,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24872, 24871])).
% 79.89/52.19 tff(24874,plain,
% 79.89/52.19 (until2p29(s4) | (~xuntil2p30(s3))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24873, 707, 24610])).
% 79.89/52.19 tff(24875,plain,
% 79.89/52.19 (~xuntil2p30(s3)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24874, 24772])).
% 79.89/52.19 tff(24876,plain,
% 79.89/52.19 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24877,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24878,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 79.89/52.19 tff(24879,plain,
% 79.89/52.19 (xuntil2p30(s3) | (~until2p29(s3))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24878, 24584, 17127])).
% 79.89/52.19 tff(24880,plain,
% 79.89/52.19 (~until2p29(s3)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24879, 24875])).
% 79.89/52.19 tff(24881,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24882,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24883,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24882, 24881])).
% 79.89/52.19 tff(24884,plain,
% 79.89/52.19 (until2p29(s3) | (~xuntil2p30(s2))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24883, 459, 24610])).
% 79.89/52.19 tff(24885,plain,
% 79.89/52.19 (~xuntil2p30(s2)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24884, 24880])).
% 79.89/52.19 tff(24886,plain,
% 79.89/52.19 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24887,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24888,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24887, 24886])).
% 79.89/52.19 tff(24889,plain,
% 79.89/52.19 (xuntil2p30(s2) | (~until2p29(s2))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24888, 24584, 17152])).
% 79.89/52.19 tff(24890,plain,
% 79.89/52.19 (~until2p29(s2)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24889, 24885])).
% 79.89/52.19 tff(24891,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24892,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24893,plain,
% 79.89/52.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 79.89/52.19 tff(24894,plain,
% 79.89/52.19 (until2p29(s2) | (~xuntil2p30(s1))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24893, 261, 24610])).
% 79.89/52.19 tff(24895,plain,
% 79.89/52.19 (~xuntil2p30(s1)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24894, 24890])).
% 79.89/52.19 tff(24896,plain,
% 79.89/52.19 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24897,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 79.89/52.19 inference(quant_inst,[status(thm)],[])).
% 79.89/52.19 tff(24898,plain,
% 79.89/52.19 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1))),
% 79.89/52.19 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 79.89/52.19 tff(24899,plain,
% 79.89/52.19 (xuntil2p30(s1) | (~until2p29(s1))),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24898, 24584, 17189])).
% 79.89/52.19 tff(24900,plain,
% 79.89/52.19 (~until2p29(s1)),
% 79.89/52.19 inference(unit_resolution,[status(thm)],[24899, 24895])).
% 79.89/52.19 tff(24901,assumption,(~until2p29(s1)), introduced(assumption)).
% 79.89/52.19 tff(24902,assumption,(trans(s19, s1)), introduced(assumption)).
% 79.89/52.19 tff(24903,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24904,plain,
% 79.89/52.19 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)) | until2p29(s1)) <=> (until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)))),
% 79.89/52.19 inference(rewrite,[status(thm)],[])).
% 79.89/52.19 tff(24905,plain,
% 79.89/52.19 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24904])).
% 79.89/52.20 tff(24906,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24905, 24903])).
% 79.89/52.20 tff(24907,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1)) | until2p29(s1))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24908,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s1) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s1))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24907, 24906])).
% 79.89/52.20 tff(24909,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24908, 24570, 24902, 24782, 24901, 24599])).
% 79.89/52.20 tff(24910,plain,((~trans(s19, s1)) | until2p29(s1) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24911,plain,
% 79.89/52.20 (~trans(s19, s1)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24910, 24900, 24599])).
% 79.89/52.20 tff(24912,assumption,(~until2p29(s13)), introduced(assumption)).
% 79.89/52.20 tff(24913,assumption,(trans(s19, s13)), introduced(assumption)).
% 79.89/52.20 tff(24914,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24915,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)) | until2p29(s13)) <=> (until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24916,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24915])).
% 79.89/52.20 tff(24917,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24916, 24914])).
% 79.89/52.20 tff(24918,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13)) | until2p29(s13))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24919,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s13) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s13))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24918, 24917])).
% 79.89/52.20 tff(24920,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24919, 24570, 24913, 24782, 24912, 24599])).
% 79.89/52.20 tff(24921,plain,((~trans(s19, s13)) | until2p29(s13) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24922,plain,
% 79.89/52.20 (~trans(s19, s13)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24921, 24676, 24599])).
% 79.89/52.20 tff(24923,assumption,(~until2p29(s17)), introduced(assumption)).
% 79.89/52.20 tff(24924,assumption,(trans(s19, s17)), introduced(assumption)).
% 79.89/52.20 tff(24925,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24926,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)) | until2p29(s17)) <=> (until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24927,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24926])).
% 79.89/52.20 tff(24928,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24927, 24925])).
% 79.89/52.20 tff(24929,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17)) | until2p29(s17))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24930,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s17) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s17))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24929, 24928])).
% 79.89/52.20 tff(24931,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24930, 24570, 24924, 24782, 24923, 24599])).
% 79.89/52.20 tff(24932,plain,((~trans(s19, s17)) | until2p29(s17) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24933,plain,
% 79.89/52.20 (~trans(s19, s17)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24932, 24632, 24599])).
% 79.89/52.20 tff(24934,assumption,(~until2p29(s2)), introduced(assumption)).
% 79.89/52.20 tff(24935,assumption,(trans(s19, s2)), introduced(assumption)).
% 79.89/52.20 tff(24936,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24937,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)) | until2p29(s2)) <=> (until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24938,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24937])).
% 79.89/52.20 tff(24939,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24938, 24936])).
% 79.89/52.20 tff(24940,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2)) | until2p29(s2))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24941,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s2) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s2))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24940, 24939])).
% 79.89/52.20 tff(24942,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24941, 24570, 24935, 24782, 24934, 24599])).
% 79.89/52.20 tff(24943,plain,((~trans(s19, s2)) | until2p29(s2) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24944,plain,
% 79.89/52.20 (~trans(s19, s2)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24943, 24890, 24599])).
% 79.89/52.20 tff(24945,assumption,(~until2p29(s3)), introduced(assumption)).
% 79.89/52.20 tff(24946,assumption,(trans(s19, s3)), introduced(assumption)).
% 79.89/52.20 tff(24947,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24948,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)) | until2p29(s3)) <=> (until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24949,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24948])).
% 79.89/52.20 tff(24950,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24949, 24947])).
% 79.89/52.20 tff(24951,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3)) | until2p29(s3))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24952,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s3) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s3))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 79.89/52.20 tff(24953,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24952, 24570, 24946, 24782, 24945, 24599])).
% 79.89/52.20 tff(24954,plain,((~trans(s19, s3)) | until2p29(s3) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24955,plain,
% 79.89/52.20 (~trans(s19, s3)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24954, 24880, 24599])).
% 79.89/52.20 tff(24956,assumption,(~until2p29(s15)), introduced(assumption)).
% 79.89/52.20 tff(24957,assumption,(trans(s19, s15)), introduced(assumption)).
% 79.89/52.20 tff(24958,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24959,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)) | until2p29(s15)) <=> (until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24960,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24959])).
% 79.89/52.20 tff(24961,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24960, 24958])).
% 79.89/52.20 tff(24962,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15)) | until2p29(s15))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24963,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s15) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s15))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 79.89/52.20 tff(24964,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24963, 24570, 24957, 24782, 24956, 24599])).
% 79.89/52.20 tff(24965,plain,((~trans(s19, s15)) | until2p29(s15) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24966,plain,
% 79.89/52.20 (~trans(s19, s15)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24965, 24654, 24599])).
% 79.89/52.20 tff(24967,assumption,(~until2p29(s8)), introduced(assumption)).
% 79.89/52.20 tff(24968,assumption,(trans(s19, s8)), introduced(assumption)).
% 79.89/52.20 tff(24969,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24970,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)) | until2p29(s8)) <=> (until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24971,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24970])).
% 79.89/52.20 tff(24972,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24971, 24969])).
% 79.89/52.20 tff(24973,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8)) | until2p29(s8))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24974,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s8) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s8))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24973, 24972])).
% 79.89/52.20 tff(24975,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24974, 24570, 24968, 24782, 24967, 24599])).
% 79.89/52.20 tff(24976,plain,((~trans(s19, s8)) | until2p29(s8) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24977,plain,
% 79.89/52.20 (~trans(s19, s8)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24976, 24729, 24599])).
% 79.89/52.20 tff(24978,assumption,(~until2p29(s7)), introduced(assumption)).
% 79.89/52.20 tff(24979,assumption,(trans(s19, s7)), introduced(assumption)).
% 79.89/52.20 tff(24980,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24981,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)) | until2p29(s7)) <=> (until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24982,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24981])).
% 79.89/52.20 tff(24983,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24982, 24980])).
% 79.89/52.20 tff(24984,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7)) | until2p29(s7))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24985,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s7) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s7))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24984, 24983])).
% 79.89/52.20 tff(24986,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24985, 24570, 24979, 24782, 24978, 24599])).
% 79.89/52.20 tff(24987,plain,((~trans(s19, s7)) | until2p29(s7) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24988,plain,
% 79.89/52.20 (~trans(s19, s7)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24987, 24740, 24599])).
% 79.89/52.20 tff(24989,assumption,(trans(s19, s19)), introduced(assumption)).
% 79.89/52.20 tff(24990,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24991,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)) | until2p29(s19)) <=> (until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(24992,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[24991])).
% 79.89/52.20 tff(24993,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[24992, 24990])).
% 79.89/52.20 tff(24994,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19)) | until2p29(s19))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(24995,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s19) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s19))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[24994, 24993])).
% 79.89/52.20 tff(24996,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24995, 24570, 24989, 24782, 24600, 24599])).
% 79.89/52.20 tff(24997,plain,((~trans(s19, s19)) | until2p29(s19) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(24998,plain,
% 79.89/52.20 (~trans(s19, s19)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[24997, 24600, 24599])).
% 79.89/52.20 tff(24999,assumption,(~until2p29(s9)), introduced(assumption)).
% 79.89/52.20 tff(25000,assumption,(trans(s19, s9)), introduced(assumption)).
% 79.89/52.20 tff(25001,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25002,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)) | until2p29(s9)) <=> (until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25003,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[25002])).
% 79.89/52.20 tff(25004,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[25003, 25001])).
% 79.89/52.20 tff(25005,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9)) | until2p29(s9))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(25006,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s9) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s9))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25005, 25004])).
% 79.89/52.20 tff(25007,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25006, 24570, 25000, 24782, 24999, 24599])).
% 79.89/52.20 tff(25008,plain,((~trans(s19, s9)) | until2p29(s9) | (~xuntil28(s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(25009,plain,
% 79.89/52.20 (~trans(s19, s9)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25008, 24718, 24599])).
% 79.89/52.20 tff(25010,plain,
% 79.89/52.20 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 79.89/52.20 inference(bind,[status(th)],[])).
% 79.89/52.20 tff(25011,plain,
% 79.89/52.20 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(quant_intro,[status(thm)],[25010])).
% 79.89/52.20 tff(25012,plain,
% 79.89/52.20 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25013,plain,
% 79.89/52.20 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 79.89/52.20 inference(bind,[status(th)],[])).
% 79.89/52.20 tff(25014,plain,
% 79.89/52.20 (![X: $i] : ((loop | (~last(X))) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(quant_intro,[status(thm)],[25013])).
% 79.89/52.20 tff(25015,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 79.89/52.20 tff(25016,plain,
% 79.89/52.20 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25015, 25014])).
% 79.89/52.20 tff(25017,plain,
% 79.89/52.20 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25016, 25012])).
% 79.89/52.20 tff(25018,plain,(
% 79.89/52.20 ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(skolemize,[status(sab)],[25017])).
% 79.89/52.20 tff(25019,plain,
% 79.89/52.20 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25018, 25011])).
% 79.89/52.20 tff(25020,plain,
% 79.89/52.20 (((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s19)) | (~xuntil28(s19)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s19)) | (~xuntil28(s19)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25021,plain,
% 79.89/52.20 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s19)) | (~xuntil28(s19)))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(25022,plain,
% 79.89/52.20 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s19)) | (~xuntil28(s19))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 79.89/52.20 tff(25023,plain,
% 79.89/52.20 (loop | (~xuntil28(s19))),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25022, 24570, 25019])).
% 79.89/52.20 tff(25024,plain,
% 79.89/52.20 (loop),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25023, 24599])).
% 79.89/52.20 tff(25025,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25026,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(25027,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 79.89/52.20 tff(25028,plain,
% 79.89/52.20 (until2p29(s1) | (~xuntil2p30(s0))),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25027, 179, 24610])).
% 79.89/52.20 tff(25029,plain,
% 79.89/52.20 (~xuntil2p30(s0)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25028, 24900])).
% 79.89/52.20 tff(25030,plain,
% 79.89/52.20 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25031,plain,
% 79.89/52.20 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(25032,plain,
% 79.89/52.20 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25031, 25030])).
% 79.89/52.20 tff(25033,plain,
% 79.89/52.20 (xuntil2p30(s0) | (~until2p29(s0))),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25032, 24584, 17222])).
% 79.89/52.20 tff(25034,plain,
% 79.89/52.20 (~until2p29(s0)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25033, 25029])).
% 79.89/52.20 tff(25035,assumption,(~until2p29(s0)), introduced(assumption)).
% 79.89/52.20 tff(25036,assumption,(trans(s19, s0)), introduced(assumption)).
% 79.89/52.20 tff(25037,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25038,plain,
% 79.89/52.20 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s0)) | until2p29(s0)) <=> ((~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0)))),
% 79.89/52.20 inference(rewrite,[status(thm)],[])).
% 79.89/52.20 tff(25039,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s0)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0))))),
% 79.89/52.20 inference(monotonicity,[status(thm)],[25038])).
% 79.89/52.20 tff(25040,plain,
% 79.89/52.20 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s0)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0)))),
% 79.89/52.20 inference(transitivity,[status(thm)],[25039, 25037])).
% 79.89/52.20 tff(25041,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s0)) | until2p29(s0))),
% 79.89/52.20 inference(quant_inst,[status(thm)],[])).
% 79.89/52.20 tff(25042,plain,
% 79.89/52.20 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (~last(s19)) | (~xuntil28(s19)) | until2p29(s0) | (~trans(s19, s0))),
% 79.89/52.20 inference(modus_ponens,[status(thm)],[25041, 25040])).
% 79.89/52.20 tff(25043,plain,
% 79.89/52.20 ($false),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25042, 24570, 25036, 24782, 24599, 25035])).
% 79.89/52.20 tff(25044,plain,((~trans(s19, s0)) | (~xuntil28(s19)) | until2p29(s0)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.20 tff(25045,plain,
% 79.89/52.20 (~trans(s19, s0)),
% 79.89/52.20 inference(unit_resolution,[status(thm)],[25044, 25034, 24599])).
% 79.89/52.20 tff(25046,plain,
% 79.89/52.20 (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25047,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18)) | trans(s19, s19)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25048,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17)) | trans(s19, s18)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25049,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16)) | trans(s19, s17)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25050,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15)) | trans(s19, s16)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25051,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14)) | trans(s19, s15)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25052,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13)) | trans(s19, s14)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25053,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12)) | trans(s19, s13)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25054,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11)) | trans(s19, s12)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25055,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10)) | trans(s19, s11)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25056,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9)) | trans(s19, s10)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25057,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8)) | trans(s19, s9)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25058,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7)) | trans(s19, s8)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25059,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6)) | trans(s19, s7)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25060,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5)) | trans(s19, s6)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25061,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4)) | trans(s19, s5)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25062,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3)) | trans(s19, s4)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25063,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2)) | trans(s19, s3)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25064,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0) | trans(s19, s1)) | trans(s19, s2)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25065,plain,
% 79.89/52.21 ((((~loop) | trans(s19, s0)) | trans(s19, s1)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1))),
% 79.89/52.21 inference(rewrite,[status(thm)],[])).
% 79.89/52.21 tff(25066,plain,
% 79.89/52.21 (((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1)) | trans(s19, s2))),
% 79.89/52.21 inference(monotonicity,[status(thm)],[25065])).
% 79.89/52.21 tff(25067,plain,
% 79.89/52.21 (((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2))),
% 79.89/52.21 inference(transitivity,[status(thm)],[25066, 25064])).
% 79.89/52.21 tff(25068,plain,
% 79.89/52.21 ((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2)) | trans(s19, s3))),
% 79.89/52.21 inference(monotonicity,[status(thm)],[25067])).
% 79.89/52.21 tff(25069,plain,
% 79.89/52.21 ((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3))),
% 79.89/52.21 inference(transitivity,[status(thm)],[25068, 25063])).
% 79.89/52.21 tff(25070,plain,
% 79.89/52.21 (((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3)) | trans(s19, s4))),
% 79.89/52.21 inference(monotonicity,[status(thm)],[25069])).
% 79.89/52.21 tff(25071,plain,
% 79.89/52.21 (((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4))),
% 79.89/52.21 inference(transitivity,[status(thm)],[25070, 25062])).
% 79.89/52.21 tff(25072,plain,
% 79.89/52.21 ((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4)) | trans(s19, s5))),
% 79.89/52.21 inference(monotonicity,[status(thm)],[25071])).
% 79.89/52.21 tff(25073,plain,
% 79.89/52.21 ((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5))),
% 79.89/52.21 inference(transitivity,[status(thm)],[25072, 25061])).
% 79.89/52.21 tff(25074,plain,
% 79.89/52.21 (((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5)) | trans(s19, s6))),
% 79.89/52.21 inference(monotonicity,[status(thm)],[25073])).
% 79.89/52.21 tff(25075,plain,
% 79.89/52.21 (((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25074, 25060])).
% 79.89/52.22 tff(25076,plain,
% 79.89/52.22 ((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6)) | trans(s19, s7))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25075])).
% 79.89/52.22 tff(25077,plain,
% 79.89/52.22 ((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25076, 25059])).
% 79.89/52.22 tff(25078,plain,
% 79.89/52.22 (((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7)) | trans(s19, s8))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25077])).
% 79.89/52.22 tff(25079,plain,
% 79.89/52.22 (((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25078, 25058])).
% 79.89/52.22 tff(25080,plain,
% 79.89/52.22 ((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8)) | trans(s19, s9))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25079])).
% 79.89/52.22 tff(25081,plain,
% 79.89/52.22 ((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25080, 25057])).
% 79.89/52.22 tff(25082,plain,
% 79.89/52.22 (((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9)) | trans(s19, s10))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25081])).
% 79.89/52.22 tff(25083,plain,
% 79.89/52.22 (((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25082, 25056])).
% 79.89/52.22 tff(25084,plain,
% 79.89/52.22 ((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10)) | trans(s19, s11))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25083])).
% 79.89/52.22 tff(25085,plain,
% 79.89/52.22 ((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25084, 25055])).
% 79.89/52.22 tff(25086,plain,
% 79.89/52.22 (((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11)) | trans(s19, s12))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25085])).
% 79.89/52.22 tff(25087,plain,
% 79.89/52.22 (((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25086, 25054])).
% 79.89/52.22 tff(25088,plain,
% 79.89/52.22 ((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12)) | trans(s19, s13))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25087])).
% 79.89/52.22 tff(25089,plain,
% 79.89/52.22 ((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25088, 25053])).
% 79.89/52.22 tff(25090,plain,
% 79.89/52.22 (((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13)) | trans(s19, s14))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25089])).
% 79.89/52.22 tff(25091,plain,
% 79.89/52.22 (((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25090, 25052])).
% 79.89/52.22 tff(25092,plain,
% 79.89/52.22 ((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14)) | trans(s19, s15))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25091])).
% 79.89/52.22 tff(25093,plain,
% 79.89/52.22 ((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25092, 25051])).
% 79.89/52.22 tff(25094,plain,
% 79.89/52.22 (((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15)) | trans(s19, s16))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25093])).
% 79.89/52.22 tff(25095,plain,
% 79.89/52.22 (((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16))),
% 79.89/52.22 inference(transitivity,[status(thm)],[25094, 25050])).
% 79.89/52.22 tff(25096,plain,
% 79.89/52.22 ((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16)) | trans(s19, s17))),
% 79.89/52.22 inference(monotonicity,[status(thm)],[25095])).
% 79.89/52.22 tff(25097,plain,
% 79.89/52.22 ((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25096, 25049])).
% 79.89/52.23 tff(25098,plain,
% 79.89/52.23 (((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) | trans(s19, s18)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17)) | trans(s19, s18))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25097])).
% 79.89/52.23 tff(25099,plain,
% 79.89/52.23 (((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) | trans(s19, s18)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25098, 25048])).
% 79.89/52.23 tff(25100,plain,
% 79.89/52.23 ((((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) | trans(s19, s18)) | trans(s19, s19)) <=> (((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18)) | trans(s19, s19))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25099])).
% 79.89/52.23 tff(25101,plain,
% 79.89/52.23 ((((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) | trans(s19, s18)) | trans(s19, s19)) <=> ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25100, 25047])).
% 79.89/52.23 tff(25102,axiom,(((((((((((((((((((((~loop) | trans(s19, s0)) | trans(s19, s1)) | trans(s19, s2)) | trans(s19, s3)) | trans(s19, s4)) | trans(s19, s5)) | trans(s19, s6)) | trans(s19, s7)) | trans(s19, s8)) | trans(s19, s9)) | trans(s19, s10)) | trans(s19, s11)) | trans(s19, s12)) | trans(s19, s13)) | trans(s19, s14)) | trans(s19, s15)) | trans(s19, s16)) | trans(s19, s17)) | trans(s19, s18)) | trans(s19, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 79.89/52.23 tff(25103,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25102, 25101])).
% 79.89/52.23 tff(25104,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25103, 25046])).
% 79.89/52.23 tff(25105,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25104, 25046])).
% 79.89/52.23 tff(25106,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25105, 25046])).
% 79.89/52.23 tff(25107,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25106, 25046])).
% 79.89/52.23 tff(25108,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25107, 25046])).
% 79.89/52.23 tff(25109,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25108, 25046])).
% 79.89/52.23 tff(25110,plain,
% 79.89/52.23 ((~loop) | trans(s19, s0) | trans(s19, s1) | trans(s19, s2) | trans(s19, s3) | trans(s19, s4) | trans(s19, s5) | trans(s19, s6) | trans(s19, s7) | trans(s19, s8) | trans(s19, s9) | trans(s19, s10) | trans(s19, s11) | trans(s19, s12) | trans(s19, s13) | trans(s19, s14) | trans(s19, s15) | trans(s19, s16) | trans(s19, s17) | trans(s19, s18) | trans(s19, s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25109, 25046])).
% 79.89/52.23 tff(25111,plain,
% 79.89/52.23 (trans(s19, s4)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25110, 25045, 25024, 25009, 24998, 24988, 24977, 24966, 24955, 24944, 24933, 24922, 24911, 24870, 24859, 24848, 24837, 24826, 24815, 24804, 24793])).
% 79.89/52.23 tff(25112,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25113,plain,
% 79.89/52.23 (((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)) | until2p29(s4)) <=> (until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25114,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | (until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4))))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25113])).
% 79.89/52.23 tff(25115,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25114, 25112])).
% 79.89/52.23 tff(25116,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | ((~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4)) | until2p29(s4))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25117,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil28(X)) | (~trans(X, Y)) | until2p29(Y))) | until2p29(s4) | (~last(s19)) | (~xuntil28(s19)) | (~trans(s19, s4))),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25116, 25115])).
% 79.89/52.23 tff(25118,plain,
% 79.89/52.23 ($false),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25117, 24570, 25111, 24782, 24772, 24599])).
% 79.89/52.23 tff(25119,plain,(until2p29(s19) | (~xuntil28(s19)) | node26(s7) | node26(s8) | node26(s9) | node26(s10) | node26(s11) | node26(s12) | node26(s13) | node26(s14) | node26(s15) | node26(s16) | node26(s17) | node26(s18)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.23 tff(25120,plain,
% 79.89/52.23 (until2p29(s19) | (~xuntil28(s19)) | node26(s9) | node26(s10) | node26(s11) | node26(s12) | node26(s13) | node26(s14) | node26(s15) | node26(s16) | node26(s17) | node26(s18)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25119, 24598, 16528])).
% 79.89/52.23 tff(25121,plain,
% 79.89/52.23 (~xuntil28(s19)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25120, 24214, 24127, 24595, 24589, 24560, 24554, 24551, 24223, 24537, 24527, 21069])).
% 79.89/52.23 tff(25122,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25123,plain,
% 79.89/52.23 (((~until27(s19)) | node26(s19) | xuntil28(s19)) <=> (xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25124,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s19)) | node26(s19) | xuntil28(s19))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19))))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25123])).
% 79.89/52.23 tff(25125,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s19)) | node26(s19) | xuntil28(s19))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25124, 25122])).
% 79.89/52.23 tff(25126,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s19)) | node26(s19) | xuntil28(s19))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25127,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19))),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 79.89/52.23 tff(25128,plain,
% 79.89/52.23 (xuntil28(s19) | (~until27(s19))),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25127, 17235, 24181])).
% 79.89/52.23 tff(25129,plain,
% 79.89/52.23 (~until27(s19)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25128, 25121])).
% 79.89/52.23 tff(25130,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25131,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25132,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 79.89/52.23 tff(25133,plain,
% 79.89/52.23 ((~xuntil28(s18)) | until27(s19)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25132, 23967, 17253])).
% 79.89/52.23 tff(25134,plain,
% 79.89/52.23 (~xuntil28(s18)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25133, 25129])).
% 79.89/52.23 tff(25135,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25136,plain,
% 79.89/52.23 (((~until27(s18)) | node26(s18) | xuntil28(s18)) <=> (xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25137,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s18)) | node26(s18) | xuntil28(s18))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18))))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25136])).
% 79.89/52.23 tff(25138,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s18)) | node26(s18) | xuntil28(s18))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25137, 25135])).
% 79.89/52.23 tff(25139,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s18)) | node26(s18) | xuntil28(s18))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25140,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18))),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25139, 25138])).
% 79.89/52.23 tff(25141,plain,
% 79.89/52.23 (xuntil28(s18) | (~until27(s18))),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25140, 17235, 24551])).
% 79.89/52.23 tff(25142,plain,
% 79.89/52.23 (~until27(s18)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25141, 25134])).
% 79.89/52.23 tff(25143,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25144,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25145,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25144, 25143])).
% 79.89/52.23 tff(25146,plain,
% 79.89/52.23 ((~xuntil28(s17)) | until27(s18)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25145, 22139, 17253])).
% 79.89/52.23 tff(25147,plain,
% 79.89/52.23 (~xuntil28(s17)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25146, 25142])).
% 79.89/52.23 tff(25148,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s17) | (~until27(s17)) | node26(s17))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s17) | (~until27(s17)) | node26(s17))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25149,plain,
% 79.89/52.23 (((~until27(s17)) | node26(s17) | xuntil28(s17)) <=> (xuntil28(s17) | (~until27(s17)) | node26(s17))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25150,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s17)) | node26(s17) | xuntil28(s17))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s17) | (~until27(s17)) | node26(s17)))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25149])).
% 79.89/52.23 tff(25151,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s17)) | node26(s17) | xuntil28(s17))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s17) | (~until27(s17)) | node26(s17))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25150, 25148])).
% 79.89/52.23 tff(25152,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s17)) | node26(s17) | xuntil28(s17))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25153,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s17) | (~until27(s17)) | node26(s17)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 79.89/52.23 tff(25154,plain,
% 79.89/52.23 (~until27(s17)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25153, 17235, 25147, 24527])).
% 79.89/52.23 tff(25155,plain,
% 79.89/52.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25156,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25157,plain,
% 79.89/52.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17)),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 79.89/52.23 tff(25158,plain,
% 79.89/52.23 ((~xuntil28(s16)) | until27(s17)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25157, 22049, 17253])).
% 79.89/52.23 tff(25159,plain,
% 79.89/52.23 (~xuntil28(s16)),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25158, 25154])).
% 79.89/52.23 tff(25160,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16)))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25161,plain,
% 79.89/52.23 (((~until27(s16)) | node26(s16) | xuntil28(s16)) <=> (xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 79.89/52.23 inference(rewrite,[status(thm)],[])).
% 79.89/52.23 tff(25162,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s16)) | node26(s16) | xuntil28(s16))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16))))),
% 79.89/52.23 inference(monotonicity,[status(thm)],[25161])).
% 79.89/52.23 tff(25163,plain,
% 79.89/52.23 (((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s16)) | node26(s16) | xuntil28(s16))) <=> ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 79.89/52.23 inference(transitivity,[status(thm)],[25162, 25160])).
% 79.89/52.23 tff(25164,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | ((~until27(s16)) | node26(s16) | xuntil28(s16))),
% 79.89/52.23 inference(quant_inst,[status(thm)],[])).
% 79.89/52.23 tff(25165,plain,
% 79.89/52.23 ((~![X: $i] : ((~until27(X)) | node26(X) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16))),
% 79.89/52.23 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 79.89/52.23 tff(25166,plain,
% 79.89/52.23 (xuntil28(s16) | (~until27(s16))),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25165, 17235, 24537])).
% 79.89/52.23 tff(25167,plain,
% 79.89/52.23 ($false),
% 79.89/52.23 inference(unit_resolution,[status(thm)],[25166, 25159, 24508])).
% 79.89/52.23 tff(25168,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s10) | node26(s19) | node26(s9) | node26(s10) | node23(s17) | node24(s17) | node23(s16) | node24(s16) | node24(s15) | node23(s15) | node24(s14) | node23(s14) | node23(s18) | node24(s18) | node20(c_e_h_2, c_r, s17) | node20(c_e_h_1, c_r, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_2, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25169,plain,
% 79.89/52.24 (node20(c_e_h_2, c_r, s17)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25168, 22082, 22342, 20459, 24128, 21069, 24124, 24127, 24181, 24126, 21068, 24125, 24180, 21062, 24014, 18587, 18547, 18563, 22080, 24123, 21071, 22081, 21070, 21061, 23165, 22363, 20179, 24002])).
% 79.89/52.24 tff(25170,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[23919, 334, 25169, 24179])).
% 79.89/52.24 tff(25171,plain,(m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | node24(s18) | node26(s10) | node23(s16) | node26(s9) | node26(s19) | node23(s15) | node24(s14) | node23(s14) | node23(s18) | node24(s15) | node24(s17) | node20(c_e_h_1, c_r, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node23(s17) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_and_h_gate_v_out(c_e_h_2, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | node24(s16)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25172,plain,
% 79.89/52.24 (m_c_h_element_v_in2(c_e_h_2, c_e, s11) | node24(s18) | node26(s10) | node23(s16) | node26(s9) | node26(s19) | node23(s15) | node24(s14) | node23(s14) | node23(s18) | node24(s15) | node24(s17) | node20(c_e_h_1, c_r, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node23(s17) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | node24(s16)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25171, 22341, 20457, 23147, 20177])).
% 79.89/52.24 tff(25173,plain,
% 79.89/52.24 (node26(s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25172, 24143, 18547, 24128, 21069, 24127, 22082, 24126, 24125, 24124, 21068, 18563, 21062, 24002, 22081, 22080, 24123, 18587, 22363, 21071, 21061, 21070, 24014])).
% 79.89/52.24 tff(25174,assumption,(~node24(s19)), introduced(assumption)).
% 79.89/52.24 tff(25175,assumption,(~node23(s19)), introduced(assumption)).
% 79.89/52.24 tff(25176,plain,
% 79.89/52.24 (((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s19) | node24(s19) | node25(s19) | (~node26(s19)))) <=> ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s19) | node24(s19) | node25(s19) | (~node26(s19)))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25177,plain,
% 79.89/52.24 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | (node23(s19) | node24(s19) | node25(s19) | (~node26(s19)))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25178,plain,
% 79.89/52.24 ((~![X: $i] : (node23(X) | node24(X) | node25(X) | (~node26(X)))) | node23(s19) | node24(s19) | node25(s19) | (~node26(s19))),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 79.89/52.24 tff(25179,plain,
% 79.89/52.24 (node25(s19) | (~node26(s19))),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25178, 12641, 25175, 25174])).
% 79.89/52.24 tff(25180,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25179, 25173, 24122])).
% 79.89/52.24 tff(25181,plain,(m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node23(s19) | node24(s19) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node24(s18) | node26(s10) | node26(s9) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | node23(s15) | node23(s14) | node23(s16) | node24(s14) | node20(c_e_h_1, c_r, s11) | node24(s15) | node24(s16) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | (~until27(s11)) | node23(s17) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node24(s17) | m_and_h_gate_v_out(c_e_h_2, c_r, s17) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)) | m_c_h_element_v_out(c_e_h_2, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25182,plain,
% 79.89/52.24 (node24(s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25181, 24071, 21062, 18547, 21068, 21069, 21090, 22081, 24055, 24041, 21061, 24014, 24013, 21071, 24002, 18563, 22080, 24001, 18587, 22082, 23990, 22260, 21070, 23654, 23024, 22565])).
% 79.89/52.24 tff(25183,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s19)), introduced(assumption)).
% 79.89/52.24 tff(25184,assumption,(node22(c_e_h_1, c_r, s18, s19)), introduced(assumption)).
% 79.89/52.24 tff(25185,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node22(c_e_h_1, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node22(c_e_h_1, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25186,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node22(c_e_h_1, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25187,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node22(c_e_h_1, c_r, s18, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 79.89/52.24 tff(25188,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25187, 437, 25184, 25183, 24056])).
% 79.89/52.24 tff(25189,plain,((~node22(c_e_h_1, c_r, s18, s19)) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25190,plain,
% 79.89/52.24 (~node22(c_e_h_1, c_r, s18, s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25189, 25183, 24056])).
% 79.89/52.24 tff(25191,assumption,(node21(c_e_h_1, c_r, s18, s19)), introduced(assumption)).
% 79.89/52.24 tff(25192,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19)))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25193,plain,
% 79.89/52.24 ((node20(c_e_h_1, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node21(c_e_h_1, c_r, s18, s19))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19)))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25194,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node21(c_e_h_1, c_r, s18, s19)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19))))),
% 79.89/52.24 inference(monotonicity,[status(thm)],[25193])).
% 79.89/52.24 tff(25195,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node21(c_e_h_1, c_r, s18, s19)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19)))),
% 79.89/52.24 inference(transitivity,[status(thm)],[25194, 25192])).
% 79.89/52.24 tff(25196,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | (~node21(c_e_h_1, c_r, s18, s19)))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25197,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | (~node21(c_e_h_1, c_r, s18, s19))),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 79.89/52.24 tff(25198,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25197, 348, 25191, 22221, 25183])).
% 79.89/52.24 tff(25199,plain,((~node21(c_e_h_1, c_r, s18, s19)) | node20(c_e_h_1, c_r, s18) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s19))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25200,plain,
% 79.89/52.24 (~node21(c_e_h_1, c_r, s18, s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25199, 25183, 22221])).
% 79.89/52.24 tff(25201,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s18, s19)) | node21(c_e_h_1, c_r, s18, s19) | node22(c_e_h_1, c_r, s18, s19))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s18, s19)) | node21(c_e_h_1, c_r, s18, s19) | node22(c_e_h_1, c_r, s18, s19))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25202,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s18, s19)) | node21(c_e_h_1, c_r, s18, s19) | node22(c_e_h_1, c_r, s18, s19))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25203,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s18, s19)) | node21(c_e_h_1, c_r, s18, s19) | node22(c_e_h_1, c_r, s18, s19)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 79.89/52.24 tff(25204,plain,
% 79.89/52.24 (node21(c_e_h_1, c_r, s18, s19) | node22(c_e_h_1, c_r, s18, s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25203, 383, 23971])).
% 79.89/52.24 tff(25205,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25204, 25200, 25190])).
% 79.89/52.24 tff(25206,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s19)) | node20(c_e_h_1, c_r, s18) | m_and_h_gate_v_out(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25207,plain,
% 79.89/52.24 (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25206, 24056, 22221])).
% 79.89/52.24 tff(25208,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_r, s19)), introduced(assumption)).
% 79.89/52.24 tff(25209,assumption,(m_user_v_ack(c_e_h_1, c_u, s19)), introduced(assumption)).
% 79.89/52.24 tff(25210,plain,
% 79.89/52.24 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s19))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s19))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25211,plain,
% 79.89/52.24 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_1, c_u, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s19))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25212,plain,
% 79.89/52.24 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_1, c_u, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s19)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 79.89/52.24 tff(25213,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25212, 7367, 25209, 25208])).
% 79.89/52.24 tff(25214,plain,((~m_user_v_ack(c_e_h_1, c_u, s19)) | m_and_h_gate_v_out(c_e_h_1, c_r, s19)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25215,plain,
% 79.89/52.24 (~m_user_v_ack(c_e_h_1, c_u, s19)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25214, 25207])).
% 79.89/52.24 tff(25216,plain,
% 79.89/52.24 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25217,plain,
% 79.89/52.24 ((m_user_v_ack(c_e_h_1, c_u, s19) | (~node24(s19))) <=> ((~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25218,plain,
% 79.89/52.24 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s19) | (~node24(s19)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | ((~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19)))),
% 79.89/52.24 inference(monotonicity,[status(thm)],[25217])).
% 79.89/52.24 tff(25219,plain,
% 79.89/52.24 (((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s19) | (~node24(s19)))) <=> ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19))),
% 79.89/52.24 inference(transitivity,[status(thm)],[25218, 25216])).
% 79.89/52.24 tff(25220,plain,
% 79.89/52.24 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (m_user_v_ack(c_e_h_1, c_u, s19) | (~node24(s19)))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25221,plain,
% 79.89/52.24 ((~![X: $i] : (m_user_v_ack(c_e_h_1, c_u, X) | (~node24(X)))) | (~node24(s19)) | m_user_v_ack(c_e_h_1, c_u, s19)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25220, 25219])).
% 79.89/52.24 tff(25222,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25221, 9500, 25215, 25182])).
% 79.89/52.24 tff(25223,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s18) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node24(s17) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node24(s16) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25224,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25223, 22246, 22232, 18547, 22221, 21069, 22081, 21061, 21068, 21071, 22220, 18563, 22080, 18587, 22082, 21070, 21062])).
% 79.89/52.24 tff(25225,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s18) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node24(s14) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | node20(c_e_h_1, c_r, s17) | node20(c_e_h_1, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25226,plain,
% 79.89/52.24 (node20(c_e_h_1, c_r, s17)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25225, 22171, 21070, 21061, 22082, 21071, 18547, 22081, 18563, 21069, 21068, 22080, 18587, 21062, 18713, 21744])).
% 79.89/52.24 tff(25227,plain,
% 79.89/52.24 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s17))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25228,plain,
% 79.89/52.24 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s17))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25229,plain,
% 79.89/52.24 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25228, 25227])).
% 79.89/52.24 tff(25230,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25229, 334, 25226, 22079])).
% 79.89/52.24 tff(25231,plain,((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25232,plain,
% 79.89/52.24 ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node20(c_e_h_1, c_r, s16) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14))),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25231, 21900, 21881])).
% 79.89/52.24 tff(25233,plain,
% 79.89/52.24 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25232, 21750, 21745, 21744, 21071, 21070, 18547, 18563, 21743, 21069, 18713, 21068, 18587, 21084, 21062, 21061, 18466])).
% 79.89/52.24 tff(25234,plain,
% 79.89/52.24 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[21010, 12654, 17541, 9493, 20790, 20865, 17975])).
% 79.89/52.24 tff(25235,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[21017, 25234])).
% 79.89/52.24 tff(25236,plain,
% 79.89/52.24 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17845, 17839])).
% 79.89/52.24 tff(25237,plain,
% 79.89/52.24 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17862, 25236, 7891])).
% 79.89/52.24 tff(25238,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[16371, 7891])).
% 79.89/52.24 tff(25239,plain,
% 79.89/52.24 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17897, 17839, 17879])).
% 79.89/52.24 tff(25240,plain,
% 79.89/52.24 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17905, 25239])).
% 79.89/52.24 tff(25241,plain,
% 79.89/52.24 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[18424, 25240, 25238, 16384, 8744, 18282, 25237])).
% 79.89/52.24 tff(25242,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[20765, 25241])).
% 79.89/52.24 tff(25243,plain,
% 79.89/52.24 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17974, 25240, 17907, 25237])).
% 79.89/52.24 tff(25244,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[18463, 25243])).
% 79.89/52.24 tff(25245,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[18246, 25237])).
% 79.89/52.24 tff(25246,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[18271, 25245, 17497, 18249])).
% 79.89/52.24 tff(25247,plain,
% 79.89/52.24 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[17952, 25240, 25237])).
% 79.89/52.24 tff(25248,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[12652, 25247])).
% 79.89/52.24 tff(25249,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[18364, 25248, 25246, 18282, 25244])).
% 79.89/52.24 tff(25250,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[21045, 25249, 25242, 21021, 21019])).
% 79.89/52.24 tff(25251,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s9) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | node20(c_e_h_1, c_c, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | node20(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25252,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25251, 25235, 25233, 17556, 17878, 18225, 18085, 18084, 17838, 18063, 17777, 18014])).
% 79.89/52.24 tff(25253,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | node20(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node24(s14) | node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | node24(s15) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.24 tff(25254,plain,
% 79.89/52.24 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25253, 12654, 21083, 21071, 21070, 18547, 18563, 21069, 18713, 21068, 18587, 21067, 21062, 21061, 17541, 9493, 20786])).
% 79.89/52.24 tff(25255,plain,
% 79.89/52.24 (((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25256,plain,
% 79.89/52.24 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25257,plain,
% 79.89/52.24 ((~![I0: $i, X: $i] : (m_and_h_gate_h_init_v_in1(I0, c_n, X) | m_c_h_element_v_out(I0, c_e, X))) | m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 79.89/52.24 tff(25258,plain,
% 79.89/52.24 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25257, 3964])).
% 79.89/52.24 tff(25259,plain,
% 79.89/52.24 (m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25258, 25254])).
% 79.89/52.24 tff(25260,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s15)), introduced(assumption)).
% 79.89/52.24 tff(25261,assumption,(node18(c_e_h_1, c_e, s15, s16)), introduced(assumption)).
% 79.89/52.24 tff(25262,plain,
% 79.89/52.24 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.24 inference(rewrite,[status(thm)],[])).
% 79.89/52.24 tff(25263,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.24 inference(quant_inst,[status(thm)],[])).
% 79.89/52.24 tff(25264,plain,
% 79.89/52.24 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s15, s16))),
% 79.89/52.24 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 79.89/52.24 tff(25265,plain,
% 79.89/52.24 ($false),
% 79.89/52.24 inference(unit_resolution,[status(thm)],[25264, 6627, 12655, 25260, 25261])).
% 79.89/52.25 tff(25266,plain,((~node18(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.25 tff(25267,plain,
% 79.89/52.25 (~node18(c_e_h_1, c_e, s15, s16)),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25266, 12655, 25260])).
% 79.89/52.25 tff(25268,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_1, c_e, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_1, c_e, s15, s16))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25269,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_1, c_e, s15, s16))),
% 79.89/52.25 inference(quant_inst,[status(thm)],[])).
% 79.89/52.25 tff(25270,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_1, c_e, s15, s16)),
% 79.89/52.25 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 79.89/52.25 tff(25271,plain,
% 79.89/52.25 (node19(c_e_h_1, c_e, s15, s16)),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25270, 494, 21999])).
% 79.89/52.25 tff(25272,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25273,plain,
% 79.89/52.25 ((node17(c_e_h_1, c_e, s15) | node18(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16))) <=> (node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25274,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s15) | node18(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16))))),
% 79.89/52.25 inference(monotonicity,[status(thm)],[25273])).
% 79.89/52.25 tff(25275,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s15) | node18(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(transitivity,[status(thm)],[25274, 25272])).
% 79.89/52.25 tff(25276,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s15) | node18(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(quant_inst,[status(thm)],[])).
% 79.89/52.25 tff(25277,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15) | (~node19(c_e_h_1, c_e, s15, s16))),
% 79.89/52.25 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 79.89/52.25 tff(25278,plain,
% 79.89/52.25 (node18(c_e_h_1, c_e, s15, s16) | node17(c_e_h_1, c_e, s15)),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25277, 508, 25271])).
% 79.89/52.25 tff(25279,plain,
% 79.89/52.25 (node17(c_e_h_1, c_e, s15)),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25278, 25267])).
% 79.89/52.25 tff(25280,assumption,(node15(c_e_h_1, c_e, s15, s16)), introduced(assumption)).
% 79.89/52.25 tff(25281,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25282,plain,
% 79.89/52.25 ((m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node15(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25283,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node15(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16))))),
% 79.89/52.25 inference(monotonicity,[status(thm)],[25282])).
% 79.89/52.25 tff(25284,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node15(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(transitivity,[status(thm)],[25283, 25281])).
% 79.89/52.25 tff(25285,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node15(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))),
% 79.89/52.25 inference(quant_inst,[status(thm)],[])).
% 79.89/52.25 tff(25286,plain,
% 79.89/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s15, s16))),
% 79.89/52.25 inference(modus_ponens,[status(thm)],[25285, 25284])).
% 79.89/52.25 tff(25287,plain,
% 79.89/52.25 ($false),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25286, 20664, 12655, 25260, 25280])).
% 79.89/52.25 tff(25288,plain,((~node15(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.89/52.25 tff(25289,plain,
% 79.89/52.25 (~node15(c_e_h_1, c_e, s15, s16)),
% 79.89/52.25 inference(unit_resolution,[status(thm)],[25288, 12655, 25260])).
% 79.89/52.25 tff(25290,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s15)), introduced(assumption)).
% 79.89/52.25 tff(25291,assumption,(node14(c_e_h_1, c_e, s15, s16)), introduced(assumption)).
% 79.89/52.25 tff(25292,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25293,plain,
% 79.89/52.25 (((~node14(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s16)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 79.89/52.25 inference(rewrite,[status(thm)],[])).
% 79.89/52.25 tff(25294,plain,
% 79.89/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16))))),
% 79.99/52.25 inference(monotonicity,[status(thm)],[25293])).
% 79.99/52.25 tff(25295,plain,
% 79.99/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 79.99/52.25 inference(transitivity,[status(thm)],[25294, 25292])).
% 79.99/52.25 tff(25296,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25297,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s15, s16))),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 79.99/52.25 tff(25298,plain,
% 79.99/52.25 ($false),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25297, 20645, 12655, 25291, 25290])).
% 79.99/52.25 tff(25299,plain,((~node14(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.25 tff(25300,plain,
% 79.99/52.25 (~node14(c_e_h_1, c_e, s15, s16)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25299, 12655, 25290])).
% 79.99/52.25 tff(25301,plain,
% 79.99/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s15) | node14(c_e_h_1, c_e, s15, s16) | node15(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s15) | node14(c_e_h_1, c_e, s15, s16) | node15(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25302,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s15) | node14(c_e_h_1, c_e, s15, s16) | node15(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16)))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25303,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s15) | node14(c_e_h_1, c_e, s15, s16) | node15(c_e_h_1, c_e, s15, s16) | (~node19(c_e_h_1, c_e, s15, s16))),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 79.99/52.25 tff(25304,plain,
% 79.99/52.25 (node16(c_e_h_1, c_e, s15) | node14(c_e_h_1, c_e, s15, s16) | node15(c_e_h_1, c_e, s15, s16)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25303, 594, 25271])).
% 79.99/52.25 tff(25305,plain,
% 79.99/52.25 (node16(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25304, 25300, 25289])).
% 79.99/52.25 tff(25306,assumption,(node17(c_e_h_1, c_e, s15)), introduced(assumption)).
% 79.99/52.25 tff(25307,assumption,(node16(c_e_h_1, c_e, s15)), introduced(assumption)).
% 79.99/52.25 tff(25308,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s15)), introduced(assumption)).
% 79.99/52.25 tff(25309,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25310,plain,
% 79.99/52.25 ((m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25311,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15))))),
% 79.99/52.25 inference(monotonicity,[status(thm)],[25310])).
% 79.99/52.25 tff(25312,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(transitivity,[status(thm)],[25311, 25309])).
% 79.99/52.25 tff(25313,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25314,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25313, 25312])).
% 79.99/52.25 tff(25315,plain,
% 79.99/52.25 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25314, 1172, 25306])).
% 79.99/52.25 tff(25316,plain,
% 79.99/52.25 (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25315, 25308])).
% 79.99/52.25 tff(25317,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25318,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25319,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 79.99/52.25 tff(25320,plain,
% 79.99/52.25 (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25319, 559, 25307])).
% 79.99/52.25 tff(25321,plain,
% 79.99/52.25 ($false),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25320, 25316, 25308])).
% 79.99/52.25 tff(25322,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node16(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.25 tff(25323,plain,
% 79.99/52.25 (m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25322, 25307, 25306])).
% 79.99/52.25 tff(25324,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25325,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25326,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 79.99/52.25 tff(25327,plain,
% 79.99/52.25 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25326, 541, 25306])).
% 79.99/52.25 tff(25328,plain,
% 79.99/52.25 (m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25327, 25323])).
% 79.99/52.25 tff(25329,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25330,plain,
% 79.99/52.25 (((~node16(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25331,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15))))),
% 79.99/52.25 inference(monotonicity,[status(thm)],[25330])).
% 79.99/52.25 tff(25332,plain,
% 79.99/52.25 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(transitivity,[status(thm)],[25331, 25329])).
% 79.99/52.25 tff(25333,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25334,plain,
% 79.99/52.25 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node16(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25333, 25332])).
% 79.99/52.25 tff(25335,plain,
% 79.99/52.25 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25334, 1192, 25307])).
% 79.99/52.25 tff(25336,plain,
% 79.99/52.25 ($false),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25335, 25328, 25323])).
% 79.99/52.25 tff(25337,plain,((~node16(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.25 tff(25338,plain,
% 79.99/52.25 ($false),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25337, 25305, 25279])).
% 79.99/52.25 tff(25339,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.25 tff(25340,plain,
% 79.99/52.25 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25339, 25259, 12655])).
% 79.99/52.25 tff(25341,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s15)), introduced(assumption)).
% 79.99/52.25 tff(25342,plain,
% 79.99/52.25 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25343,plain,
% 79.99/52.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25344,plain,
% 79.99/52.25 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 79.99/52.25 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 79.99/52.25 tff(25345,plain,
% 79.99/52.25 ($false),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25344, 17917, 25308, 25341])).
% 79.99/52.25 tff(25346,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.25 tff(25347,plain,
% 79.99/52.25 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25346, 25340])).
% 79.99/52.25 tff(25348,plain,
% 79.99/52.25 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 79.99/52.25 inference(unit_resolution,[status(thm)],[25253, 12654, 21744, 21071, 21070, 18547, 18563, 21069, 18713, 21068, 18587, 21745, 21062, 21061, 17541, 9493, 20865])).
% 79.99/52.25 tff(25349,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s14)), introduced(assumption)).
% 79.99/52.25 tff(25350,assumption,(node15(c_e_h_1, c_e, s14, s15)), introduced(assumption)).
% 79.99/52.25 tff(25351,plain,
% 79.99/52.25 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 79.99/52.25 inference(rewrite,[status(thm)],[])).
% 79.99/52.25 tff(25352,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 79.99/52.25 inference(quant_inst,[status(thm)],[])).
% 79.99/52.25 tff(25353,plain,
% 79.99/52.25 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node15(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 79.99/52.26 tff(25354,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25353, 612, 12654, 25260, 25350])).
% 79.99/52.26 tff(25355,plain,((~node15(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25356,plain,
% 79.99/52.26 (~node15(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25355, 25260, 12654])).
% 79.99/52.26 tff(25357,assumption,(~node15(c_e_h_1, c_e, s14, s15)), introduced(assumption)).
% 79.99/52.26 tff(25358,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s14)), introduced(assumption)).
% 79.99/52.26 tff(25359,plain,
% 79.99/52.26 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25360,plain,
% 79.99/52.26 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25361,plain,
% 79.99/52.26 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 79.99/52.26 tff(25362,plain,
% 79.99/52.26 ((~node16(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25361, 559, 25358])).
% 79.99/52.26 tff(25363,plain,
% 79.99/52.26 (~node16(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25362, 25349])).
% 79.99/52.26 tff(25364,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_e, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25365,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25366,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 79.99/52.26 tff(25367,plain,
% 79.99/52.26 (node19(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25366, 494, 18664])).
% 79.99/52.26 tff(25368,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25369,plain,
% 79.99/52.26 ((node16(c_e_h_1, c_e, s14) | node14(c_e_h_1, c_e, s14, s15) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15))) <=> (node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25370,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s14) | node14(c_e_h_1, c_e, s14, s15) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(monotonicity,[status(thm)],[25369])).
% 79.99/52.26 tff(25371,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s14) | node14(c_e_h_1, c_e, s14, s15) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(transitivity,[status(thm)],[25370, 25368])).
% 79.99/52.26 tff(25372,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s14) | node14(c_e_h_1, c_e, s14, s15) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25373,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)) | node14(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 79.99/52.26 tff(25374,plain,
% 79.99/52.26 (node16(c_e_h_1, c_e, s14) | node15(c_e_h_1, c_e, s14, s15) | node14(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25373, 594, 25367])).
% 79.99/52.26 tff(25375,plain,
% 79.99/52.26 (node14(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25374, 25363, 25357])).
% 79.99/52.26 tff(25376,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25377,plain,
% 79.99/52.26 (((~node14(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25378,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15))))),
% 79.99/52.26 inference(monotonicity,[status(thm)],[25377])).
% 79.99/52.26 tff(25379,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(transitivity,[status(thm)],[25378, 25376])).
% 79.99/52.26 tff(25380,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25381,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node14(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 79.99/52.26 tff(25382,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25381, 575, 25260, 25375, 25349])).
% 79.99/52.26 tff(25383,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | node15(c_e_h_1, c_e, s14, s15) | m_c_h_element_v_in2(c_e_h_1, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25384,plain,
% 79.99/52.26 (m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25383, 25260, 25349, 25356])).
% 79.99/52.26 tff(25385,assumption,(node18(c_e_h_1, c_e, s14, s15)), introduced(assumption)).
% 79.99/52.26 tff(25386,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25387,plain,
% 79.99/52.26 (((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node18(c_e_h_1, c_e, s14, s15))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25388,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node18(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15))))),
% 79.99/52.26 inference(monotonicity,[status(thm)],[25387])).
% 79.99/52.26 tff(25389,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node18(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(transitivity,[status(thm)],[25388, 25386])).
% 79.99/52.26 tff(25390,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25391,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~node18(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 79.99/52.26 tff(25392,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25391, 481, 12654, 25260, 25385])).
% 79.99/52.26 tff(25393,plain,((~node18(c_e_h_1, c_e, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25394,plain,
% 79.99/52.26 (~node18(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25393, 25260, 12654])).
% 79.99/52.26 tff(25395,plain,
% 79.99/52.26 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s14) | node18(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s14) | node18(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25396,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s14) | node18(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15)))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25397,plain,
% 79.99/52.26 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s14) | node18(c_e_h_1, c_e, s14, s15) | (~node19(c_e_h_1, c_e, s14, s15))),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 79.99/52.26 tff(25398,plain,
% 79.99/52.26 (node17(c_e_h_1, c_e, s14) | node18(c_e_h_1, c_e, s14, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25397, 508, 25367])).
% 79.99/52.26 tff(25399,plain,
% 79.99/52.26 (node17(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25398, 25394])).
% 79.99/52.26 tff(25400,plain,
% 79.99/52.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25401,plain,
% 79.99/52.26 ((m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node17(c_e_h_1, c_e, s14))) <=> ((~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25402,plain,
% 79.99/52.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node17(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)))),
% 79.99/52.26 inference(monotonicity,[status(thm)],[25401])).
% 79.99/52.26 tff(25403,plain,
% 79.99/52.26 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node17(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(transitivity,[status(thm)],[25402, 25400])).
% 79.99/52.26 tff(25404,plain,
% 79.99/52.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node17(c_e_h_1, c_e, s14)))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25405,plain,
% 79.99/52.26 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 79.99/52.26 tff(25406,plain,
% 79.99/52.26 ((~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14))),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25405, 1172, 25349])).
% 79.99/52.26 tff(25407,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25406, 25399, 25384])).
% 79.99/52.26 tff(25408,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25409,plain,
% 79.99/52.26 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25408, 12654, 25349])).
% 79.99/52.26 tff(25410,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25258, 25409, 25348])).
% 79.99/52.26 tff(25411,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s14) | node20(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node24(s14) | node20(c_e_h_1, c_r, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | node24(s15) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25412,plain,
% 79.99/52.26 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25411, 12654, 21083, 21071, 21070, 18547, 18563, 21069, 18713, 21068, 18587, 21067, 21062, 21061, 17541, 9493, 20786])).
% 79.99/52.26 tff(25413,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s14)), introduced(assumption)).
% 79.99/52.26 tff(25414,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s14)), introduced(assumption)).
% 79.99/52.26 tff(25415,plain,
% 79.99/52.26 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25416,plain,
% 79.99/52.26 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 79.99/52.26 inference(quant_inst,[status(thm)],[])).
% 79.99/52.26 tff(25417,plain,
% 79.99/52.26 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 79.99/52.26 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 79.99/52.26 tff(25418,plain,
% 79.99/52.26 ($false),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25417, 4240, 25414, 25413])).
% 79.99/52.26 tff(25419,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.26 tff(25420,plain,
% 79.99/52.26 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 79.99/52.26 inference(unit_resolution,[status(thm)],[25419, 25412])).
% 79.99/52.26 tff(25421,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s14)), introduced(assumption)).
% 79.99/52.26 tff(25422,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s14)), introduced(assumption)).
% 79.99/52.26 tff(25423,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)), introduced(assumption)).
% 79.99/52.26 tff(25424,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.99/52.26 tff(25425,plain,
% 79.99/52.26 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.26 inference(rewrite,[status(thm)],[])).
% 79.99/52.26 tff(25426,plain,
% 79.99/52.26 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25427,plain,
% 79.99/52.27 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 79.99/52.27 tff(25428,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25427, 2644, 25423, 25424])).
% 79.99/52.27 tff(25429,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25430,plain,
% 79.99/52.27 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25429, 25423])).
% 79.99/52.27 tff(25431,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.99/52.27 tff(25432,assumption,(node20(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.99/52.27 tff(25433,plain,
% 79.99/52.27 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25434,plain,
% 79.99/52.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25435,plain,
% 79.99/52.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 79.99/52.27 tff(25436,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25435, 22, 25432, 25431])).
% 79.99/52.27 tff(25437,plain,((~node20(c_e_h_1, c_c, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25438,plain,
% 79.99/52.27 (~node20(c_e_h_1, c_c, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25437, 25430])).
% 79.99/52.27 tff(25439,assumption,(~node20(c_e_h_1, c_c, s13)), introduced(assumption)).
% 79.99/52.27 tff(25440,assumption,(node22(c_e_h_1, c_c, s13, s14)), introduced(assumption)).
% 79.99/52.27 tff(25441,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25442,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25443,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25442, 25441])).
% 79.99/52.27 tff(25444,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25443, 437, 25440, 20909, 25421])).
% 79.99/52.27 tff(25445,plain,((~node22(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25446,plain,
% 79.99/52.27 (~node22(c_e_h_1, c_c, s13, s14)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25445, 25421, 20909])).
% 79.99/52.27 tff(25447,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_c, s13, s14) | node22(c_e_h_1, c_c, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_c, s13, s14) | node22(c_e_h_1, c_c, s13, s14))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25448,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_c, s13, s14) | node22(c_e_h_1, c_c, s13, s14))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25449,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_c, s13, s14) | node22(c_e_h_1, c_c, s13, s14)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 79.99/52.27 tff(25450,plain,
% 79.99/52.27 (node21(c_e_h_1, c_c, s13, s14) | node22(c_e_h_1, c_c, s13, s14)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25449, 383, 8985])).
% 79.99/52.27 tff(25451,plain,
% 79.99/52.27 (node21(c_e_h_1, c_c, s13, s14)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25450, 25446])).
% 79.99/52.27 tff(25452,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25453,plain,
% 79.99/52.27 ((node20(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node21(c_e_h_1, c_c, s13, s14))) <=> (node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25454,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node21(c_e_h_1, c_c, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))))),
% 79.99/52.27 inference(monotonicity,[status(thm)],[25453])).
% 79.99/52.27 tff(25455,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node21(c_e_h_1, c_c, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))),
% 79.99/52.27 inference(transitivity,[status(thm)],[25454, 25452])).
% 79.99/52.27 tff(25456,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node21(c_e_h_1, c_c, s13, s14)))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25457,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s13) | (~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 79.99/52.27 tff(25458,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25457, 348, 25451, 25421, 25439])).
% 79.99/52.27 tff(25459,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | node20(c_e_h_1, c_c, s13) | m_and_h_gate_v_out(c_e_h_1, c_c, s13)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25460,plain,
% 79.99/52.27 (m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25459, 25438, 25421])).
% 79.99/52.27 tff(25461,assumption,(~node20(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.99/52.27 tff(25462,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s12, s13)))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25463,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s12, s13)))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25464,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s12, s13))),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 79.99/52.27 tff(25465,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25464, 348, 20902, 20921, 25461])).
% 79.99/52.27 tff(25466,plain,((~node21(c_e_h_1, c_c, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | node20(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25467,plain,
% 79.99/52.27 (~node21(c_e_h_1, c_c, s12, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25466, 20902, 25461])).
% 79.99/52.27 tff(25468,plain,
% 79.99/52.27 (node22(c_e_h_1, c_c, s12, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[20934, 25467])).
% 79.99/52.27 tff(25469,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node22(c_e_h_1, c_c, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node22(c_e_h_1, c_c, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25470,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node22(c_e_h_1, c_c, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25471,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | (~node22(c_e_h_1, c_c, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25470, 25469])).
% 79.99/52.27 tff(25472,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25471, 437, 20902, 25468, 20792])).
% 79.99/52.27 tff(25473,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | node20(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25474,plain,
% 79.99/52.27 (node20(c_e_h_1, c_c, s12)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25473, 25460, 20792])).
% 79.99/52.27 tff(25475,assumption,(node20(c_e_h_1, c_c, s12)), introduced(assumption)).
% 79.99/52.27 tff(25476,plain,
% 79.99/52.27 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25477,plain,
% 79.99/52.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25478,plain,
% 79.99/52.27 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25477, 25476])).
% 79.99/52.27 tff(25479,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25478, 22, 25475, 20938])).
% 79.99/52.27 tff(25480,plain,((~node20(c_e_h_1, c_c, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25481,plain,
% 79.99/52.27 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25480, 25474])).
% 79.99/52.27 tff(25482,plain,
% 79.99/52.27 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25483,plain,
% 79.99/52.27 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25484,plain,
% 79.99/52.27 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 79.99/52.27 tff(25485,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25484, 2644, 20947, 20920])).
% 79.99/52.27 tff(25486,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25487,plain,
% 79.99/52.27 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25486, 25481])).
% 79.99/52.27 tff(25488,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)), introduced(assumption)).
% 79.99/52.27 tff(25489,assumption,(node13(c_e_h_1, c_a, s12, s13)), introduced(assumption)).
% 79.99/52.27 tff(25490,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25491,plain,
% 79.99/52.27 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~node13(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25492,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~node13(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.27 inference(monotonicity,[status(thm)],[25491])).
% 79.99/52.27 tff(25493,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~node13(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(transitivity,[status(thm)],[25492, 25490])).
% 79.99/52.27 tff(25494,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~node13(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25495,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25494, 25493])).
% 79.99/52.27 tff(25496,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25495, 7277, 25489, 25423, 20939])).
% 79.99/52.27 tff(25497,plain,((~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25498,plain,
% 79.99/52.27 (~node13(c_e_h_1, c_a, s12, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25497, 25423, 20939])).
% 79.99/52.27 tff(25499,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s12, s13)) | node12(c_e_h_1, c_a, s12, s13) | node13(c_e_h_1, c_a, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s12, s13)) | node12(c_e_h_1, c_a, s12, s13) | node13(c_e_h_1, c_a, s12, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25500,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s12, s13)) | node12(c_e_h_1, c_a, s12, s13) | node13(c_e_h_1, c_a, s12, s13))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25501,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s12, s13)) | node12(c_e_h_1, c_a, s12, s13) | node13(c_e_h_1, c_a, s12, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25500, 25499])).
% 79.99/52.27 tff(25502,plain,
% 79.99/52.27 (node12(c_e_h_1, c_a, s12, s13) | node13(c_e_h_1, c_a, s12, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25501, 1020, 8278])).
% 79.99/52.27 tff(25503,plain,
% 79.99/52.27 (node12(c_e_h_1, c_a, s12, s13)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25502, 25498])).
% 79.99/52.27 tff(25504,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25505,plain,
% 79.99/52.27 (((~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25506,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.27 inference(monotonicity,[status(thm)],[25505])).
% 79.99/52.27 tff(25507,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(transitivity,[status(thm)],[25506, 25504])).
% 79.99/52.27 tff(25508,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25509,plain,
% 79.99/52.27 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 79.99/52.27 tff(25510,plain,
% 79.99/52.27 ($false),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25509, 7301, 25503, 25423, 25488])).
% 79.99/52.27 tff(25511,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.27 tff(25512,plain,
% 79.99/52.27 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25511, 25487, 25423])).
% 79.99/52.27 tff(25513,assumption,(~m_user_v_ack(c_e_h_1, c_u, s11)), introduced(assumption)).
% 79.99/52.27 tff(25514,plain,
% 79.99/52.27 (~m_user_v_req(c_e_h_1, c_u, s10)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[21004, 20981, 9493])).
% 79.99/52.27 tff(25515,plain,
% 79.99/52.27 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[21008, 2765, 25514])).
% 79.99/52.27 tff(25516,plain,
% 79.99/52.27 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_user_v_req(c_e_h_1, c_u, s11))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_user_v_req(c_e_h_1, c_u, s11))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25517,plain,
% 79.99/52.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_user_v_req(c_e_h_1, c_u, s11))),
% 79.99/52.27 inference(quant_inst,[status(thm)],[])).
% 79.99/52.27 tff(25518,plain,
% 79.99/52.27 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)) | m_user_v_req(c_e_h_1, c_u, s11)),
% 79.99/52.27 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 79.99/52.27 tff(25519,plain,
% 79.99/52.27 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 79.99/52.27 inference(unit_resolution,[status(thm)],[25518, 2765, 20981])).
% 79.99/52.27 tff(25520,assumption,(node12(c_e_h_1, c_a, s11, s12)), introduced(assumption)).
% 79.99/52.27 tff(25521,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25522,plain,
% 79.99/52.27 (((~node12(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.99/52.27 inference(rewrite,[status(thm)],[])).
% 79.99/52.27 tff(25523,plain,
% 79.99/52.27 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12))))),
% 79.99/52.28 inference(monotonicity,[status(thm)],[25522])).
% 79.99/52.28 tff(25524,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12)))),
% 79.99/52.28 inference(transitivity,[status(thm)],[25523, 25521])).
% 79.99/52.28 tff(25525,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25526,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node12(c_e_h_1, c_a, s11, s12))),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 79.99/52.28 tff(25527,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25526, 1082, 25520, 20972, 20939])).
% 79.99/52.28 tff(25528,plain,((~node12(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25529,plain,
% 79.99/52.28 (~node12(c_e_h_1, c_a, s11, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25528, 20939, 20972])).
% 79.99/52.28 tff(25530,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25531,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25532,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | (~node13(c_e_h_1, c_a, s11, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 79.99/52.28 tff(25533,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25532, 1004, 20948, 20939, 20832])).
% 79.99/52.28 tff(25534,plain,((~node13(c_e_h_1, c_a, s11, s12)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25535,plain,
% 79.99/52.28 (~node13(c_e_h_1, c_a, s11, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25534, 20939, 20832])).
% 79.99/52.28 tff(25536,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[20961, 25535, 25529])).
% 79.99/52.28 tff(25537,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25538,plain,
% 79.99/52.28 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25537, 25519, 20939])).
% 79.99/52.28 tff(25539,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[20863, 25538, 25515, 17541])).
% 79.99/52.28 tff(25540,plain,(m_user_v_req(c_e_h_1, c_u, s11) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_user_v_ack(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25541,plain,
% 79.99/52.28 (m_user_v_req(c_e_h_1, c_u, s11)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25540, 25487, 17541, 9493])).
% 79.99/52.28 tff(25542,assumption,(~m_user_v_req(c_e_h_1, c_u, s12)), introduced(assumption)).
% 79.99/52.28 tff(25543,assumption,(node8(c_e_h_1, c_u, s11, s12)), introduced(assumption)).
% 79.99/52.28 tff(25544,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25545,plain,
% 79.99/52.28 ((m_user_v_req(c_e_h_1, c_u, s12) | (~node8(c_e_h_1, c_u, s11, s12)) | (~m_user_v_req(c_e_h_1, c_u, s11))) <=> ((~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25546,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s12) | (~node8(c_e_h_1, c_u, s11, s12)) | (~m_user_v_req(c_e_h_1, c_u, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12)))),
% 79.99/52.28 inference(monotonicity,[status(thm)],[25545])).
% 79.99/52.28 tff(25547,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s12) | (~node8(c_e_h_1, c_u, s11, s12)) | (~m_user_v_req(c_e_h_1, c_u, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(transitivity,[status(thm)],[25546, 25544])).
% 79.99/52.28 tff(25548,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s12) | (~node8(c_e_h_1, c_u, s11, s12)) | (~m_user_v_req(c_e_h_1, c_u, s11)))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25549,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_1, c_u, s11)) | (~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25548, 25547])).
% 79.99/52.28 tff(25550,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25549, 7402, 25543, 25542, 20973])).
% 79.99/52.28 tff(25551,plain,((~node8(c_e_h_1, c_u, s11, s12)) | m_user_v_req(c_e_h_1, c_u, s12) | (~m_user_v_req(c_e_h_1, c_u, s11))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25552,plain,
% 79.99/52.28 (~node8(c_e_h_1, c_u, s11, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25551, 25542, 20973])).
% 79.99/52.28 tff(25553,assumption,(node7(c_e_h_1, c_u, s11, s12)), introduced(assumption)).
% 79.99/52.28 tff(25554,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s11, s12)) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_req(c_e_h_1, c_u, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s11, s12)) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25555,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s11, s12)) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25556,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s11, s12)) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 79.99/52.28 tff(25557,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25556, 7383, 25513, 25553, 25542])).
% 79.99/52.28 tff(25558,plain,((~node7(c_e_h_1, c_u, s11, s12)) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_req(c_e_h_1, c_u, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25559,plain,
% 79.99/52.28 (~node7(c_e_h_1, c_u, s11, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25558, 25542, 25513])).
% 79.99/52.28 tff(25560,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s11, s12)) | node7(c_e_h_1, c_u, s11, s12) | node8(c_e_h_1, c_u, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s11, s12)) | node7(c_e_h_1, c_u, s11, s12) | node8(c_e_h_1, c_u, s11, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25561,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s11, s12)) | node7(c_e_h_1, c_u, s11, s12) | node8(c_e_h_1, c_u, s11, s12))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25562,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s11, s12)) | node7(c_e_h_1, c_u, s11, s12) | node8(c_e_h_1, c_u, s11, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25561, 25560])).
% 79.99/52.28 tff(25563,plain,
% 79.99/52.28 (node7(c_e_h_1, c_u, s11, s12) | node8(c_e_h_1, c_u, s11, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25562, 7421, 8210])).
% 79.99/52.28 tff(25564,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25563, 25559, 25552])).
% 79.99/52.28 tff(25565,plain,(m_user_v_req(c_e_h_1, c_u, s12) | m_user_v_ack(c_e_h_1, c_u, s11) | (~m_user_v_req(c_e_h_1, c_u, s11))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25566,plain,
% 79.99/52.28 (m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25565, 25541, 25513])).
% 79.99/52.28 tff(25567,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)), introduced(assumption)).
% 79.99/52.28 tff(25568,assumption,(m_user_v_req(c_e_h_1, c_u, s12)), introduced(assumption)).
% 79.99/52.28 tff(25569,plain,
% 79.99/52.28 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25570,plain,
% 79.99/52.28 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25571,plain,
% 79.99/52.28 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 79.99/52.28 tff(25572,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25571, 7318, 25568, 25567])).
% 79.99/52.28 tff(25573,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~m_user_v_req(c_e_h_1, c_u, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25574,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25573, 25566, 25512])).
% 79.99/52.28 tff(25575,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | m_user_v_ack(c_e_h_1, c_u, s11) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25576,plain,
% 79.99/52.28 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25575, 17541, 24371, 9493, 20792, 25421])).
% 79.99/52.28 tff(25577,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s13)), introduced(assumption)).
% 79.99/52.28 tff(25578,assumption,(~m_user_v_req(c_e_h_1, c_u, s13)), introduced(assumption)).
% 79.99/52.28 tff(25579,assumption,(node8(c_e_h_1, c_u, s12, s13)), introduced(assumption)).
% 79.99/52.28 tff(25580,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25581,plain,
% 79.99/52.28 ((m_user_v_req(c_e_h_1, c_u, s13) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12))) <=> ((~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25582,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s13) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13)))),
% 79.99/52.28 inference(monotonicity,[status(thm)],[25581])).
% 79.99/52.28 tff(25583,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s13) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13))),
% 79.99/52.28 inference(transitivity,[status(thm)],[25582, 25580])).
% 79.99/52.28 tff(25584,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s13) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25585,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25584, 25583])).
% 79.99/52.28 tff(25586,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25585, 7402, 25579, 25568, 25578])).
% 79.99/52.28 tff(25587,plain,((~node8(c_e_h_1, c_u, s12, s13)) | (~m_user_v_req(c_e_h_1, c_u, s12)) | m_user_v_req(c_e_h_1, c_u, s13)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25588,plain,
% 79.99/52.28 (~node8(c_e_h_1, c_u, s12, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25587, 25578, 25568])).
% 79.99/52.28 tff(25589,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s12, s13)) | node7(c_e_h_1, c_u, s12, s13) | node8(c_e_h_1, c_u, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s12, s13)) | node7(c_e_h_1, c_u, s12, s13) | node8(c_e_h_1, c_u, s12, s13))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25590,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s12, s13)) | node7(c_e_h_1, c_u, s12, s13) | node8(c_e_h_1, c_u, s12, s13))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25591,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s12, s13)) | node7(c_e_h_1, c_u, s12, s13) | node8(c_e_h_1, c_u, s12, s13)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25590, 25589])).
% 79.99/52.28 tff(25592,plain,
% 79.99/52.28 (node7(c_e_h_1, c_u, s12, s13) | node8(c_e_h_1, c_u, s12, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25591, 7421, 8278])).
% 79.99/52.28 tff(25593,plain,
% 79.99/52.28 (node7(c_e_h_1, c_u, s12, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25592, 25588])).
% 79.99/52.28 tff(25594,assumption,(~m_user_v_ack(c_e_h_1, c_u, s12)), introduced(assumption)).
% 79.99/52.28 tff(25595,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s12, s13)) | m_user_v_ack(c_e_h_1, c_u, s12) | m_user_v_req(c_e_h_1, c_u, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s12, s13)) | m_user_v_ack(c_e_h_1, c_u, s12) | m_user_v_req(c_e_h_1, c_u, s13))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25596,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s12, s13)) | m_user_v_ack(c_e_h_1, c_u, s12) | m_user_v_req(c_e_h_1, c_u, s13))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25597,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s12, s13)) | m_user_v_ack(c_e_h_1, c_u, s12) | m_user_v_req(c_e_h_1, c_u, s13)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 79.99/52.28 tff(25598,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25597, 7383, 25594, 25593, 25578])).
% 79.99/52.28 tff(25599,plain,(m_user_v_req(c_e_h_1, c_u, s13) | m_user_v_ack(c_e_h_1, c_u, s12) | (~m_user_v_req(c_e_h_1, c_u, s12))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25600,plain,
% 79.99/52.28 (~m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25599, 24406, 25578])).
% 79.99/52.28 tff(25601,plain,
% 79.99/52.28 (~m_user_v_req(c_e_h_1, c_u, s11)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25565, 25600, 24371])).
% 79.99/52.28 tff(25602,plain,
% 79.99/52.28 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25518, 2765, 25601])).
% 79.99/52.28 tff(25603,plain,
% 79.99/52.28 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_user_v_req(c_e_h_1, c_u, s12))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25604,plain,
% 79.99/52.28 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_user_v_req(c_e_h_1, c_u, s12))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25605,plain,
% 79.99/52.28 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)) | m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 79.99/52.28 tff(25606,plain,
% 79.99/52.28 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25605, 2765, 25600])).
% 79.99/52.28 tff(25607,assumption,(node12(c_e_h_1, c_a, s12, s13)), introduced(assumption)).
% 79.99/52.28 tff(25608,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25609,plain,
% 79.99/52.28 (((~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25610,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13))))),
% 79.99/52.28 inference(monotonicity,[status(thm)],[25609])).
% 79.99/52.28 tff(25611,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.28 inference(transitivity,[status(thm)],[25610, 25608])).
% 79.99/52.28 tff(25612,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25613,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12) | (~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13))),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 79.99/52.28 tff(25614,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25613, 1082, 25607, 25577, 25567])).
% 79.99/52.28 tff(25615,plain,((~node12(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25616,plain,
% 79.99/52.28 (~node12(c_e_h_1, c_a, s12, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25615, 25577, 25567])).
% 79.99/52.28 tff(25617,plain,
% 79.99/52.28 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))),
% 79.99/52.28 inference(rewrite,[status(thm)],[])).
% 79.99/52.28 tff(25618,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12))),
% 79.99/52.28 inference(quant_inst,[status(thm)],[])).
% 79.99/52.28 tff(25619,plain,
% 79.99/52.28 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s12, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 79.99/52.28 inference(modus_ponens,[status(thm)],[25618, 25617])).
% 79.99/52.28 tff(25620,plain,
% 79.99/52.28 ($false),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25619, 1004, 25489, 25577, 20947])).
% 79.99/52.28 tff(25621,plain,((~node13(c_e_h_1, c_a, s12, s13)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.28 tff(25622,plain,
% 79.99/52.28 (~node13(c_e_h_1, c_a, s12, s13)),
% 79.99/52.28 inference(unit_resolution,[status(thm)],[25621, 25577, 20947])).
% 79.99/52.29 tff(25623,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25502, 25622, 25616])).
% 79.99/52.29 tff(25624,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s12) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25625,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25624, 25606, 25577])).
% 79.99/52.29 tff(25626,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25537, 25625, 25602, 20832])).
% 79.99/52.29 tff(25627,plain,(m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_user_v_req(c_e_h_1, c_u, s13) | node20(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25628,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25627, 25578, 25577, 18547, 18563])).
% 79.99/52.29 tff(25629,plain,
% 79.99/52.29 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[20863, 25628, 17541])).
% 79.99/52.29 tff(25630,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s12)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25599, 25578, 24388])).
% 79.99/52.29 tff(25631,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s11)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25565, 25630, 24371])).
% 79.99/52.29 tff(25632,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s10)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[21004, 25631, 9493])).
% 79.99/52.29 tff(25633,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[21008, 2765, 25632, 25629])).
% 79.99/52.29 tff(25634,plain,(m_user_v_req(c_e_h_1, c_u, s13) | m_user_v_ack(c_e_h_1, c_u, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25635,plain,
% 79.99/52.29 (m_user_v_req(c_e_h_1, c_u, s13)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25634, 25576, 17541, 9493, 18547, 18563])).
% 79.99/52.29 tff(25636,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)), introduced(assumption)).
% 79.99/52.29 tff(25637,assumption,(node12(c_e_h_1, c_a, s13, s14)), introduced(assumption)).
% 79.99/52.29 tff(25638,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25639,plain,
% 79.99/52.29 (((~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14)) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25640,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))))),
% 79.99/52.29 inference(monotonicity,[status(thm)],[25639])).
% 79.99/52.29 tff(25641,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)))),
% 79.99/52.29 inference(transitivity,[status(thm)],[25640, 25638])).
% 79.99/52.29 tff(25642,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25643,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 79.99/52.29 tff(25644,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25643, 7301, 25637, 25636, 25422])).
% 79.99/52.29 tff(25645,plain,((~node12(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25646,plain,
% 79.99/52.29 (~node12(c_e_h_1, c_a, s13, s14)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25645, 25422, 25636])).
% 79.99/52.29 tff(25647,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s13, s14)) | node12(c_e_h_1, c_a, s13, s14) | node13(c_e_h_1, c_a, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s13, s14)) | node12(c_e_h_1, c_a, s13, s14) | node13(c_e_h_1, c_a, s13, s14))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25648,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s13, s14)) | node12(c_e_h_1, c_a, s13, s14) | node13(c_e_h_1, c_a, s13, s14))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25649,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s13, s14)) | node12(c_e_h_1, c_a, s13, s14) | node13(c_e_h_1, c_a, s13, s14)),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 79.99/52.29 tff(25650,plain,
% 79.99/52.29 (node12(c_e_h_1, c_a, s13, s14) | node13(c_e_h_1, c_a, s13, s14)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25649, 1020, 8985])).
% 79.99/52.29 tff(25651,plain,
% 79.99/52.29 (node13(c_e_h_1, c_a, s13, s14)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25650, 25646])).
% 79.99/52.29 tff(25652,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25653,plain,
% 79.99/52.29 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node13(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13))) <=> (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25654,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node13(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14))))),
% 79.99/52.29 inference(monotonicity,[status(thm)],[25653])).
% 79.99/52.29 tff(25655,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node13(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14)))),
% 79.99/52.29 inference(transitivity,[status(thm)],[25654, 25652])).
% 79.99/52.29 tff(25656,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~node13(c_e_h_1, c_a, s13, s14)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25657,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~node13(c_e_h_1, c_a, s13, s14))),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25656, 25655])).
% 79.99/52.29 tff(25658,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25657, 7277, 25651, 25577, 25422])).
% 79.99/52.29 tff(25659,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25660,plain,
% 79.99/52.29 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25659, 25576, 25422])).
% 79.99/52.29 tff(25661,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)), introduced(assumption)).
% 79.99/52.29 tff(25662,assumption,(m_user_v_req(c_e_h_1, c_u, s13)), introduced(assumption)).
% 79.99/52.29 tff(25663,plain,
% 79.99/52.29 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25664,plain,
% 79.99/52.29 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s13))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25665,plain,
% 79.99/52.29 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s13)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 79.99/52.29 tff(25666,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25665, 7318, 25662, 25661])).
% 79.99/52.29 tff(25667,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s13) | (~m_user_v_req(c_e_h_1, c_u, s13))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25668,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25667, 25660, 25635])).
% 79.99/52.29 tff(25669,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25670,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25669, 25422, 9493, 18547, 18563, 20792, 25421])).
% 79.99/52.29 tff(25671,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17590, 17565])).
% 79.99/52.29 tff(25672,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16137, 25671])).
% 79.99/52.29 tff(25673,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), introduced(assumption)).
% 79.99/52.29 tff(25674,plain,
% 79.99/52.29 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_user_v_req(c_e_h_1, c_u, s9))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_user_v_req(c_e_h_1, c_u, s9))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25675,plain,
% 79.99/52.29 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_user_v_req(c_e_h_1, c_u, s9))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25676,plain,
% 79.99/52.29 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)) | m_user_v_req(c_e_h_1, c_u, s9)),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 79.99/52.29 tff(25677,plain,
% 79.99/52.29 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25676, 2765, 17565])).
% 79.99/52.29 tff(25678,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | (~node13(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | (~node13(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25679,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | (~node13(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25680,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | (~node13(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25679, 25678])).
% 79.99/52.29 tff(25681,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25680, 1004, 17601, 25673, 16079])).
% 79.99/52.29 tff(25682,plain,((~node13(c_e_h_1, c_a, s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25683,plain,
% 79.99/52.29 (~node13(c_e_h_1, c_a, s9, s10)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25682, 25673, 16079])).
% 79.99/52.29 tff(25684,assumption,(node12(c_e_h_1, c_a, s9, s10)), introduced(assumption)).
% 79.99/52.29 tff(25685,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25686,plain,
% 79.99/52.29 (((~node12(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.99/52.29 inference(rewrite,[status(thm)],[])).
% 79.99/52.29 tff(25687,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10))))),
% 79.99/52.29 inference(monotonicity,[status(thm)],[25686])).
% 79.99/52.29 tff(25688,plain,
% 79.99/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10)))),
% 79.99/52.29 inference(transitivity,[status(thm)],[25687, 25685])).
% 79.99/52.29 tff(25689,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))),
% 79.99/52.29 inference(quant_inst,[status(thm)],[])).
% 79.99/52.29 tff(25690,plain,
% 79.99/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~node12(c_e_h_1, c_a, s9, s10))),
% 79.99/52.29 inference(modus_ponens,[status(thm)],[25689, 25688])).
% 79.99/52.29 tff(25691,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25690, 1082, 25684, 17593, 25673])).
% 79.99/52.29 tff(25692,plain,((~node12(c_e_h_1, c_a, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25693,plain,
% 79.99/52.29 (~node12(c_e_h_1, c_a, s9, s10)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25692, 25673, 17593])).
% 79.99/52.29 tff(25694,plain,
% 79.99/52.29 ($false),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17611, 25693, 25683])).
% 79.99/52.29 tff(25695,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s9)), inference(lemma,lemma(discharge,[]))).
% 79.99/52.29 tff(25696,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[25695, 25677, 25673])).
% 79.99/52.29 tff(25697,plain,
% 79.99/52.29 (~node7(c_e_h_1, c_u, s8, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17572, 17565, 17567])).
% 79.99/52.29 tff(25698,plain,
% 79.99/52.29 (node8(c_e_h_1, c_u, s8, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17588, 25697])).
% 79.99/52.29 tff(25699,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17583, 25698, 17565])).
% 79.99/52.29 tff(25700,plain,
% 79.99/52.29 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17646, 25699])).
% 79.99/52.29 tff(25701,plain,
% 79.99/52.29 (~node12(c_e_h_1, c_a, s8, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17655, 25696, 25700])).
% 79.99/52.29 tff(25702,plain,
% 79.99/52.29 (node13(c_e_h_1, c_a, s8, s9)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16168, 25701])).
% 79.99/52.29 tff(25703,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[17661, 25702, 25696])).
% 79.99/52.29 tff(25704,plain,
% 79.99/52.29 (~node7(c_e_h_1, c_u, s7, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16119, 25699, 16114])).
% 79.99/52.29 tff(25705,plain,
% 79.99/52.29 (node8(c_e_h_1, c_u, s7, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16135, 25704])).
% 79.99/52.29 tff(25706,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s7)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16128, 7402, 25705, 25699])).
% 79.99/52.29 tff(25707,plain,
% 79.99/52.29 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16206, 2765, 25706])).
% 79.99/52.29 tff(25708,plain,
% 79.99/52.29 (~node12(c_e_h_1, c_a, s7, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16190, 25703, 25707])).
% 79.99/52.29 tff(25709,plain,
% 79.99/52.29 (node13(c_e_h_1, c_a, s7, s8)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[15407, 25708])).
% 79.99/52.29 tff(25710,plain,
% 79.99/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16196, 25709, 25703])).
% 79.99/52.29 tff(25711,plain,
% 79.99/52.29 (~m_user_v_req(c_e_h_1, c_u, s6)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[15277, 25706, 15272])).
% 79.99/52.29 tff(25712,plain,
% 79.99/52.29 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16098, 2765, 25711])).
% 79.99/52.29 tff(25713,plain,
% 79.99/52.29 (~node12(c_e_h_1, c_a, s6, s7)),
% 79.99/52.29 inference(unit_resolution,[status(thm)],[16087, 25712, 25710])).
% 80.03/52.29 tff(25714,plain,
% 80.03/52.29 (node13(c_e_h_1, c_a, s6, s7)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[15369, 25713])).
% 80.03/52.29 tff(25715,plain,
% 80.03/52.29 ($false),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[16092, 1004, 25714, 25710, 15281])).
% 80.03/52.29 tff(25716,plain,(m_user_v_req(c_e_h_1, c_u, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_user_v_ack(c_e_h_1, c_u, s6) | m_user_v_ack(c_e_h_1, c_u, s7) | m_user_v_ack(c_e_h_1, c_u, s8)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.29 tff(25717,plain,
% 80.03/52.29 (m_user_v_req(c_e_h_1, c_u, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25716, 15257, 16112, 16508])).
% 80.03/52.29 tff(25718,plain,
% 80.03/52.29 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25717, 17565, 25673])).
% 80.03/52.29 tff(25719,plain,
% 80.03/52.29 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[15345, 25718])).
% 80.03/52.29 tff(25720,plain,
% 80.03/52.29 ($false),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[15278, 25719, 25672])).
% 80.03/52.29 tff(25721,plain,(m_user_v_req(c_e_h_1, c_u, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.29 tff(25722,plain,
% 80.03/52.29 (m_user_v_req(c_e_h_1, c_u, s9)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25721, 25670])).
% 80.03/52.29 tff(25723,assumption,(~m_user_v_req(c_e_h_1, c_u, s10)), introduced(assumption)).
% 80.03/52.29 tff(25724,assumption,(node7(c_e_h_1, c_u, s9, s10)), introduced(assumption)).
% 80.03/52.29 tff(25725,plain,
% 80.03/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s9, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_user_v_req(c_e_h_1, c_u, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s9, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_user_v_req(c_e_h_1, c_u, s10))),
% 80.03/52.29 inference(rewrite,[status(thm)],[])).
% 80.03/52.29 tff(25726,plain,
% 80.03/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_1, c_u, s9, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_user_v_req(c_e_h_1, c_u, s10))),
% 80.03/52.29 inference(quant_inst,[status(thm)],[])).
% 80.03/52.29 tff(25727,plain,
% 80.03/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_1, c_u, s9, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_user_v_req(c_e_h_1, c_u, s10)),
% 80.03/52.29 inference(modus_ponens,[status(thm)],[25726, 25725])).
% 80.03/52.29 tff(25728,plain,
% 80.03/52.29 ($false),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25727, 7383, 25724, 17397, 25723])).
% 80.03/52.29 tff(25729,plain,((~node7(c_e_h_1, c_u, s9, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_user_v_req(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.29 tff(25730,plain,
% 80.03/52.29 (~node7(c_e_h_1, c_u, s9, s10)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25729, 25723, 17397])).
% 80.03/52.29 tff(25731,plain,
% 80.03/52.29 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s9, s10)) | node7(c_e_h_1, c_u, s9, s10) | node8(c_e_h_1, c_u, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s9, s10)) | node7(c_e_h_1, c_u, s9, s10) | node8(c_e_h_1, c_u, s9, s10))),
% 80.03/52.29 inference(rewrite,[status(thm)],[])).
% 80.03/52.29 tff(25732,plain,
% 80.03/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s9, s10)) | node7(c_e_h_1, c_u, s9, s10) | node8(c_e_h_1, c_u, s9, s10))),
% 80.03/52.29 inference(quant_inst,[status(thm)],[])).
% 80.03/52.29 tff(25733,plain,
% 80.03/52.29 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s9, s10)) | node7(c_e_h_1, c_u, s9, s10) | node8(c_e_h_1, c_u, s9, s10)),
% 80.03/52.29 inference(modus_ponens,[status(thm)],[25732, 25731])).
% 80.03/52.29 tff(25734,plain,
% 80.03/52.29 (node7(c_e_h_1, c_u, s9, s10) | node8(c_e_h_1, c_u, s9, s10)),
% 80.03/52.29 inference(unit_resolution,[status(thm)],[25733, 7421, 6039])).
% 80.03/52.30 tff(25735,plain,
% 80.03/52.30 (node8(c_e_h_1, c_u, s9, s10)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25734, 25730])).
% 80.03/52.30 tff(25736,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25737,plain,
% 80.03/52.30 ((m_user_v_req(c_e_h_1, c_u, s10) | (~node8(c_e_h_1, c_u, s9, s10)) | (~m_user_v_req(c_e_h_1, c_u, s9))) <=> (m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25738,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s10) | (~node8(c_e_h_1, c_u, s9, s10)) | (~m_user_v_req(c_e_h_1, c_u, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10))))),
% 80.03/52.30 inference(monotonicity,[status(thm)],[25737])).
% 80.03/52.30 tff(25739,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s10) | (~node8(c_e_h_1, c_u, s9, s10)) | (~m_user_v_req(c_e_h_1, c_u, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10)))),
% 80.03/52.30 inference(transitivity,[status(thm)],[25738, 25736])).
% 80.03/52.30 tff(25740,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_1, c_u, s10) | (~node8(c_e_h_1, c_u, s9, s10)) | (~m_user_v_req(c_e_h_1, c_u, s9)))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25741,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | (~node8(c_e_h_1, c_u, s9, s10))),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 80.03/52.30 tff(25742,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25741, 7402, 25735, 25723, 17592])).
% 80.03/52.30 tff(25743,plain,(m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9)) | m_user_v_ack(c_e_h_1, c_u, s9)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25744,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25743, 25722, 17397])).
% 80.03/52.30 tff(25745,plain,
% 80.03/52.30 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25746,plain,
% 80.03/52.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_1, c_u, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25747,plain,
% 80.03/52.30 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_1, c_u, s10)) | m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 80.03/52.30 tff(25748,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25747, 7318, 20980, 20847])).
% 80.03/52.30 tff(25749,plain,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s10) | (~m_user_v_req(c_e_h_1, c_u, s10))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25750,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25749, 25744])).
% 80.03/52.30 tff(25751,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)), introduced(assumption)).
% 80.03/52.30 tff(25752,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25753,plain,
% 80.03/52.30 (((~node12(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25754,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)))),
% 80.03/52.30 inference(monotonicity,[status(thm)],[25753])).
% 80.03/52.30 tff(25755,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 80.03/52.30 inference(transitivity,[status(thm)],[25754, 25752])).
% 80.03/52.30 tff(25756,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25757,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)) | (~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 80.03/52.30 tff(25758,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25757, 7301, 20848, 20832, 25751])).
% 80.03/52.30 tff(25759,plain,((~node12(c_e_h_1, c_a, s10, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25760,plain,
% 80.03/52.30 (~node12(c_e_h_1, c_a, s10, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25759, 20832, 25751])).
% 80.03/52.30 tff(25761,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25762,plain,
% 80.03/52.30 ((m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))) <=> ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25763,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11))))),
% 80.03/52.30 inference(monotonicity,[status(thm)],[25762])).
% 80.03/52.30 tff(25764,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)))),
% 80.03/52.30 inference(transitivity,[status(thm)],[25763, 25761])).
% 80.03/52.30 tff(25765,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25766,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~node13(c_e_h_1, c_a, s10, s11))),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 80.03/52.30 tff(25767,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25766, 7277, 20840, 25673, 20832])).
% 80.03/52.30 tff(25768,plain,((~node13(c_e_h_1, c_a, s10, s11)) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25769,plain,
% 80.03/52.30 (~node13(c_e_h_1, c_a, s10, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25768, 20832, 25673])).
% 80.03/52.30 tff(25770,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20861, 25769, 25760])).
% 80.03/52.30 tff(25771,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25772,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25771, 25750, 25670])).
% 80.03/52.30 tff(25773,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[21004, 25744, 9493])).
% 80.03/52.30 tff(25774,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20978, 25773])).
% 80.03/52.30 tff(25775,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20970, 25774, 25772])).
% 80.03/52.30 tff(25776,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25565, 25773, 24371])).
% 80.03/52.30 tff(25777,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25573, 25776])).
% 80.03/52.30 tff(25778,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25511, 25777, 25775])).
% 80.03/52.30 tff(25779,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25599, 25776, 24406])).
% 80.03/52.30 tff(25780,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25667, 25779])).
% 80.03/52.30 tff(25781,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25659, 25780, 25778, 25422])).
% 80.03/52.30 tff(25782,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_ack(c_e_h_1, c_u, s9) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25783,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25782, 21088])).
% 80.03/52.30 tff(25784,plain,
% 80.03/52.30 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25783, 25422, 9493, 18547, 25421, 18563])).
% 80.03/52.30 tff(25785,plain,
% 80.03/52.30 (node20(c_e_h_1, c_c, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20821, 25784, 17967])).
% 80.03/52.30 tff(25786,plain,
% 80.03/52.30 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20829, 25785])).
% 80.03/52.30 tff(25787,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20837, 25786])).
% 80.03/52.30 tff(25788,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20863, 20839, 17541])).
% 80.03/52.30 tff(25789,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[21008, 2765, 25788])).
% 80.03/52.30 tff(25790,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[21004, 25789, 9493])).
% 80.03/52.30 tff(25791,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20978, 25790])).
% 80.03/52.30 tff(25792,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[20970, 25791, 20839])).
% 80.03/52.30 tff(25793,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25565, 25790, 25513])).
% 80.03/52.30 tff(25794,plain,
% 80.03/52.30 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25573, 25793])).
% 80.03/52.30 tff(25795,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25511, 25794, 25792, 25423])).
% 80.03/52.30 tff(25796,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_ack(c_e_h_1, c_u, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25797,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25796, 25787, 17541, 9493, 24371])).
% 80.03/52.30 tff(25798,plain,
% 80.03/52.30 (m_user_v_req(c_e_h_1, c_u, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25634, 25797, 17541, 9493, 18547, 18563])).
% 80.03/52.30 tff(25799,plain,
% 80.03/52.30 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25659, 25797, 25422])).
% 80.03/52.30 tff(25800,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25667, 25799, 25798])).
% 80.03/52.30 tff(25801,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25802,plain,
% 80.03/52.30 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25801, 25420, 9493, 18547, 18563, 17541, 20790])).
% 80.03/52.30 tff(25803,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)), introduced(assumption)).
% 80.03/52.30 tff(25804,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14)), introduced(assumption)).
% 80.03/52.30 tff(25805,plain,
% 80.03/52.30 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25806,plain,
% 80.03/52.30 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25807,plain,
% 80.03/52.30 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25806, 25805])).
% 80.03/52.30 tff(25808,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25807, 7440, 25804, 25803])).
% 80.03/52.30 tff(25809,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s14) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25810,plain,
% 80.03/52.30 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25809, 25802])).
% 80.03/52.30 tff(25811,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_c, s14)), introduced(assumption)).
% 80.03/52.30 tff(25812,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s15)), introduced(assumption)).
% 80.03/52.30 tff(25813,assumption,(node22(c_e_h_1, c_c, s14, s15)), introduced(assumption)).
% 80.03/52.30 tff(25814,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25815,plain,
% 80.03/52.30 ((m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node22(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25816,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node22(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15))))),
% 80.03/52.30 inference(monotonicity,[status(thm)],[25815])).
% 80.03/52.30 tff(25817,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node22(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(transitivity,[status(thm)],[25816, 25814])).
% 80.03/52.30 tff(25818,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node22(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25819,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | (~node22(c_e_h_1, c_c, s14, s15))),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 80.03/52.30 tff(25820,plain,
% 80.03/52.30 ($false),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25819, 6905, 25421, 25813, 25812])).
% 80.03/52.30 tff(25821,plain,((~node22(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.30 tff(25822,plain,
% 80.03/52.30 (~node22(c_e_h_1, c_c, s14, s15)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25821, 25812, 25421])).
% 80.03/52.30 tff(25823,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_c, s14, s15) | node22(c_e_h_1, c_c, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_c, s14, s15) | node22(c_e_h_1, c_c, s14, s15))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25824,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_c, s14, s15) | node22(c_e_h_1, c_c, s14, s15))),
% 80.03/52.30 inference(quant_inst,[status(thm)],[])).
% 80.03/52.30 tff(25825,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_c, s14, s15) | node22(c_e_h_1, c_c, s14, s15)),
% 80.03/52.30 inference(modus_ponens,[status(thm)],[25824, 25823])).
% 80.03/52.30 tff(25826,plain,
% 80.03/52.30 (node21(c_e_h_1, c_c, s14, s15) | node22(c_e_h_1, c_c, s14, s15)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25825, 383, 18664])).
% 80.03/52.30 tff(25827,plain,
% 80.03/52.30 (node21(c_e_h_1, c_c, s14, s15)),
% 80.03/52.30 inference(unit_resolution,[status(thm)],[25826, 25822])).
% 80.03/52.30 tff(25828,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s14)), introduced(assumption)).
% 80.03/52.30 tff(25829,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25830,plain,
% 80.03/52.30 (((~node21(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(rewrite,[status(thm)],[])).
% 80.03/52.30 tff(25831,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15))))),
% 80.03/52.30 inference(monotonicity,[status(thm)],[25830])).
% 80.03/52.30 tff(25832,plain,
% 80.03/52.30 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15)))),
% 80.03/52.30 inference(transitivity,[status(thm)],[25831, 25829])).
% 80.03/52.30 tff(25833,plain,
% 80.03/52.30 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25834,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~node21(c_e_h_1, c_c, s14, s15))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 80.03/52.31 tff(25835,plain,
% 80.03/52.31 ($false),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25834, 7190, 25828, 25827, 25812, 25811])).
% 80.03/52.31 tff(25836,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.31 tff(25837,plain,
% 80.03/52.31 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25836, 25347, 25420, 25810])).
% 80.03/52.31 tff(25838,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s14))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25839,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25840,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 80.03/52.31 tff(25841,plain,
% 80.03/52.31 (node2(c_e_h_1, c_e_h_2, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25840, 2823, 7161])).
% 80.03/52.31 tff(25842,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s14)) | m_cell_v_ack(c_e_h_2, s14) | m_and_h_gate_v_in2(c_e_h_1, c_c, s14))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s14)) | m_cell_v_ack(c_e_h_2, s14) | m_and_h_gate_v_in2(c_e_h_1, c_c, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25843,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s14)) | m_cell_v_ack(c_e_h_2, s14) | m_and_h_gate_v_in2(c_e_h_1, c_c, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25844,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s14)) | m_cell_v_ack(c_e_h_2, s14) | m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25843, 25842])).
% 80.03/52.31 tff(25845,plain,
% 80.03/52.31 (m_cell_v_ack(c_e_h_2, s14) | m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25844, 7175, 25841])).
% 80.03/52.31 tff(25846,plain,
% 80.03/52.31 (m_cell_v_ack(c_e_h_2, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25845, 25837])).
% 80.03/52.31 tff(25847,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s14))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25848,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25849,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 80.03/52.31 tff(25850,plain,
% 80.03/52.31 (node3(c_e_h_1, c_e_h_2, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25849, 2823, 1791])).
% 80.03/52.31 tff(25851,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s14)) | (~node3(c_e_h_1, c_e_h_2, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s14))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s14)) | (~node3(c_e_h_1, c_e_h_2, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25852,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s14)) | (~node3(c_e_h_1, c_e_h_2, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25853,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s14)) | (~node3(c_e_h_1, c_e_h_2, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25852, 25851])).
% 80.03/52.31 tff(25854,plain,
% 80.03/52.31 ((~m_cell_v_ack(c_e_h_2, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25853, 1808, 25850])).
% 80.03/52.31 tff(25855,plain,
% 80.03/52.31 (m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25854, 25846])).
% 80.03/52.31 tff(25856,plain,
% 80.03/52.31 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[21906, 18466])).
% 80.03/52.31 tff(25857,plain,
% 80.03/52.31 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[21935, 21046, 21750, 25856])).
% 80.03/52.31 tff(25858,plain,
% 80.03/52.31 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s15))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25859,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s15))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25860,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_q, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_q, s15)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25859, 25858])).
% 80.03/52.31 tff(25861,plain,
% 80.03/52.31 (m_and_h_gate_v_in2(c_e_h_1, c_q, s15)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25860, 21056, 25857])).
% 80.03/52.31 tff(25862,plain,
% 80.03/52.31 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25408, 25260, 12654])).
% 80.03/52.31 tff(25863,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25864,plain,
% 80.03/52.31 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~node17(c_e_h_1, c_e, s14))) <=> ((~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25865,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~node17(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14))))),
% 80.03/52.31 inference(monotonicity,[status(thm)],[25864])).
% 80.03/52.31 tff(25866,plain,
% 80.03/52.31 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~node17(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)))),
% 80.03/52.31 inference(transitivity,[status(thm)],[25865, 25863])).
% 80.03/52.31 tff(25867,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~node17(c_e_h_1, c_e, s14)))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25868,plain,
% 80.03/52.31 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 80.03/52.31 tff(25869,plain,
% 80.03/52.31 ((~node17(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25868, 541, 25358])).
% 80.03/52.31 tff(25870,plain,
% 80.03/52.31 (~node17(c_e_h_1, c_e, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25869, 25862])).
% 80.03/52.31 tff(25871,plain,
% 80.03/52.31 ($false),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25398, 25870, 25394])).
% 80.03/52.31 tff(25872,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.31 tff(25873,plain,
% 80.03/52.31 (m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25872, 25259, 12654])).
% 80.03/52.31 tff(25874,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s14)), introduced(assumption)).
% 80.03/52.31 tff(25875,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s14)), introduced(assumption)).
% 80.03/52.31 tff(25876,plain,
% 80.03/52.31 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25877,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25878,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25877, 25876])).
% 80.03/52.31 tff(25879,plain,
% 80.03/52.31 ($false),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25878, 4785, 25875, 25874])).
% 80.03/52.31 tff(25880,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.31 tff(25881,plain,
% 80.03/52.31 (m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25880, 25873])).
% 80.03/52.31 tff(25882,plain,
% 80.03/52.31 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X)) <=> ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X)))),
% 80.03/52.31 inference(bind,[status(th)],[])).
% 80.03/52.31 tff(25883,plain,
% 80.03/52.31 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(quant_intro,[status(thm)],[25882])).
% 80.03/52.31 tff(25884,plain,
% 80.03/52.31 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25885,plain,
% 80.03/52.31 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in2(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_i, X))) <=> ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X)))),
% 80.03/52.31 inference(bind,[status(th)],[])).
% 80.03/52.31 tff(25886,plain,
% 80.03/52.31 (![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_i, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(quant_intro,[status(thm)],[25885])).
% 80.03/52.31 tff(25887,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_i, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_25')).
% 80.03/52.31 tff(25888,plain,
% 80.03/52.31 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 80.03/52.31 tff(25889,plain,
% 80.03/52.31 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25888, 25884])).
% 80.03/52.31 tff(25890,plain,(
% 80.03/52.31 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(skolemize,[status(sab)],[25889])).
% 80.03/52.31 tff(25891,plain,
% 80.03/52.31 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25890, 25883])).
% 80.03/52.31 tff(25892,plain,
% 80.03/52.31 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25893,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25894,plain,
% 80.03/52.31 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25893, 25892])).
% 80.03/52.31 tff(25895,plain,
% 80.03/52.31 (m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25894, 25891, 25881])).
% 80.03/52.31 tff(25896,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.31 tff(25897,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.31 tff(25898,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s15)), introduced(assumption)).
% 80.03/52.31 tff(25899,assumption,(node18(c_e_h_1, c_f, s14, s15)), introduced(assumption)).
% 80.03/52.31 tff(25900,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~node18(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~node18(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25901,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~node18(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25902,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~node18(c_e_h_1, c_f, s14, s15))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25901, 25900])).
% 80.03/52.31 tff(25903,plain,
% 80.03/52.31 ($false),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25902, 6627, 25897, 25898, 25899])).
% 80.03/52.31 tff(25904,plain,((~node18(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.31 tff(25905,plain,
% 80.03/52.31 (~node18(c_e_h_1, c_f, s14, s15)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25904, 25897, 25898])).
% 80.03/52.31 tff(25906,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_f, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_f, s14, s15))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25907,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_f, s14, s15))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25908,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_f, s14, s15)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 80.03/52.31 tff(25909,plain,
% 80.03/52.31 (node19(c_e_h_1, c_f, s14, s15)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25908, 494, 18664])).
% 80.03/52.31 tff(25910,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25911,plain,
% 80.03/52.31 ((node17(c_e_h_1, c_f, s14) | node18(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15))) <=> ((~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25912,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s14) | node18(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14)))),
% 80.03/52.31 inference(monotonicity,[status(thm)],[25911])).
% 80.03/52.31 tff(25913,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s14) | node18(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(transitivity,[status(thm)],[25912, 25910])).
% 80.03/52.31 tff(25914,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s14) | node18(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25915,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s14, s15)) | node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14)),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 80.03/52.31 tff(25916,plain,
% 80.03/52.31 (node18(c_e_h_1, c_f, s14, s15) | node17(c_e_h_1, c_f, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25915, 508, 25909])).
% 80.03/52.31 tff(25917,plain,
% 80.03/52.31 (node17(c_e_h_1, c_f, s14)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25916, 25905])).
% 80.03/52.31 tff(25918,assumption,(~node14(c_e_h_1, c_f, s14, s15)), introduced(assumption)).
% 80.03/52.31 tff(25919,assumption,(node15(c_e_h_1, c_f, s14, s15)), introduced(assumption)).
% 80.03/52.31 tff(25920,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~node15(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~node15(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25921,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~node15(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)))),
% 80.03/52.31 inference(quant_inst,[status(thm)],[])).
% 80.03/52.31 tff(25922,plain,
% 80.03/52.31 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~node15(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(modus_ponens,[status(thm)],[25921, 25920])).
% 80.03/52.31 tff(25923,plain,
% 80.03/52.31 ($false),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25922, 20664, 25897, 25898, 25919])).
% 80.03/52.31 tff(25924,plain,((~node15(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.31 tff(25925,plain,
% 80.03/52.31 (~node15(c_e_h_1, c_f, s14, s15)),
% 80.03/52.31 inference(unit_resolution,[status(thm)],[25924, 25897, 25898])).
% 80.03/52.31 tff(25926,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25927,plain,
% 80.03/52.31 ((node16(c_e_h_1, c_f, s14) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15))) <=> (node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14))),
% 80.03/52.31 inference(rewrite,[status(thm)],[])).
% 80.03/52.31 tff(25928,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s14) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14)))),
% 80.03/52.31 inference(monotonicity,[status(thm)],[25927])).
% 80.03/52.31 tff(25929,plain,
% 80.03/52.31 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s14) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(transitivity,[status(thm)],[25928, 25926])).
% 80.03/52.32 tff(25930,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s14) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25931,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | (~node19(c_e_h_1, c_f, s14, s15)) | node16(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25930, 25929])).
% 80.03/52.32 tff(25932,plain,
% 80.03/52.32 (node14(c_e_h_1, c_f, s14, s15) | node15(c_e_h_1, c_f, s14, s15) | node16(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25931, 594, 25909])).
% 80.03/52.32 tff(25933,plain,
% 80.03/52.32 (node16(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25932, 25925, 25918])).
% 80.03/52.32 tff(25934,assumption,(node17(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.32 tff(25935,assumption,(node16(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.32 tff(25936,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.32 tff(25937,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25938,plain,
% 80.03/52.32 ((m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25939,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14))))),
% 80.03/52.32 inference(monotonicity,[status(thm)],[25938])).
% 80.03/52.32 tff(25940,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(transitivity,[status(thm)],[25939, 25937])).
% 80.03/52.32 tff(25941,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25942,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25941, 25940])).
% 80.03/52.32 tff(25943,plain,
% 80.03/52.32 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25942, 1172, 25934])).
% 80.03/52.32 tff(25944,plain,
% 80.03/52.32 (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25943, 25936])).
% 80.03/52.32 tff(25945,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25946,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | m_c_h_element_v_in2(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25947,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s14)) | m_c_h_element_v_in1(c_e_h_1, c_f, s14) | m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25946, 25945])).
% 80.03/52.32 tff(25948,plain,
% 80.03/52.32 (m_c_h_element_v_in1(c_e_h_1, c_f, s14) | m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25947, 559, 25935])).
% 80.03/52.32 tff(25949,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25948, 25944, 25936])).
% 80.03/52.32 tff(25950,plain,(m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node16(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(25951,plain,
% 80.03/52.32 (m_c_h_element_v_in1(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25950, 25935, 25934])).
% 80.03/52.32 tff(25952,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25953,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25954,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25953, 25952])).
% 80.03/52.32 tff(25955,plain,
% 80.03/52.32 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25954, 541, 25934])).
% 80.03/52.32 tff(25956,plain,
% 80.03/52.32 (m_c_h_element_v_in2(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25955, 25951])).
% 80.03/52.32 tff(25957,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25958,plain,
% 80.03/52.32 (((~node16(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25959,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14))))),
% 80.03/52.32 inference(monotonicity,[status(thm)],[25958])).
% 80.03/52.32 tff(25960,plain,
% 80.03/52.32 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(transitivity,[status(thm)],[25959, 25957])).
% 80.03/52.32 tff(25961,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25962,plain,
% 80.03/52.32 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | (~node16(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 80.03/52.32 tff(25963,plain,
% 80.03/52.32 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25962, 1192, 25935])).
% 80.03/52.32 tff(25964,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25963, 25956, 25951])).
% 80.03/52.32 tff(25965,plain,((~node16(c_e_h_1, c_f, s14)) | (~node17(c_e_h_1, c_f, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(25966,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25965, 25917, 25933])).
% 80.03/52.32 tff(25967,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | node14(c_e_h_1, c_f, s14, s15) | m_c_h_element_v_out(c_e_h_1, c_f, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(25968,plain,
% 80.03/52.32 (node14(c_e_h_1, c_f, s14, s15)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25967, 25897, 25898])).
% 80.03/52.32 tff(25969,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.03/52.32 tff(25970,assumption,(node14(c_e_h_1, c_f, s14, s15)), introduced(assumption)).
% 80.03/52.32 tff(25971,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25972,plain,
% 80.03/52.32 (((~node14(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15)) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25973,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15))))),
% 80.03/52.32 inference(monotonicity,[status(thm)],[25972])).
% 80.03/52.32 tff(25974,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15)))),
% 80.03/52.32 inference(transitivity,[status(thm)],[25973, 25971])).
% 80.03/52.32 tff(25975,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25976,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)) | (~node14(c_e_h_1, c_f, s14, s15))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25975, 25974])).
% 80.03/52.32 tff(25977,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25976, 20645, 25898, 25970, 25969])).
% 80.03/52.32 tff(25978,plain,((~node14(c_e_h_1, c_f, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_f, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(25979,plain,
% 80.03/52.32 (~m_c_h_element_v_in1(c_e_h_1, c_f, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25978, 25968, 25898])).
% 80.03/52.32 tff(25980,plain,
% 80.03/52.32 (m_c_h_element_v_in1(c_e_h_1, c_f, s14) | (~node17(c_e_h_1, c_f, s14))),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25942, 1172, 25896])).
% 80.03/52.32 tff(25981,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25980, 25979, 25917])).
% 80.03/52.32 tff(25982,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(25983,plain,
% 80.03/52.32 (m_c_h_element_v_out(c_e_h_1, c_f, s15)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25982, 25897, 25896])).
% 80.03/52.32 tff(25984,plain,
% 80.03/52.32 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X)) <=> ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X)))),
% 80.03/52.32 inference(bind,[status(th)],[])).
% 80.03/52.32 tff(25985,plain,
% 80.03/52.32 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(quant_intro,[status(thm)],[25984])).
% 80.03/52.32 tff(25986,plain,
% 80.03/52.32 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25987,plain,
% 80.03/52.32 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_q, X) | (~m_c_h_element_v_out(I0, c_f, X))) <=> ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X)))),
% 80.03/52.32 inference(bind,[status(th)],[])).
% 80.03/52.32 tff(25988,plain,
% 80.03/52.32 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_q, X) | (~m_c_h_element_v_out(I0, c_f, X))) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(quant_intro,[status(thm)],[25987])).
% 80.03/52.32 tff(25989,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_q, X) | (~m_c_h_element_v_out(I0, c_f, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_67')).
% 80.03/52.32 tff(25990,plain,
% 80.03/52.32 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25989, 25988])).
% 80.03/52.32 tff(25991,plain,
% 80.03/52.32 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25990, 25986])).
% 80.03/52.32 tff(25992,plain,(
% 80.03/52.32 ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(skolemize,[status(sab)],[25991])).
% 80.03/52.32 tff(25993,plain,
% 80.03/52.32 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25992, 25985])).
% 80.03/52.32 tff(25994,plain,
% 80.03/52.32 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s15))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s15))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(25995,plain,
% 80.03/52.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s15))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(25996,plain,
% 80.03/52.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s15)),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[25995, 25994])).
% 80.03/52.32 tff(25997,plain,
% 80.03/52.32 (m_and_h_gate_v_in1(c_e_h_1, c_q, s15)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[25996, 25993, 25983])).
% 80.03/52.32 tff(25998,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_q, s15)), introduced(assumption)).
% 80.03/52.32 tff(25999,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s14)), introduced(assumption)).
% 80.03/52.32 tff(26000,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_q, s14)), introduced(assumption)).
% 80.03/52.32 tff(26001,plain,
% 80.03/52.32 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s14))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(26002,plain,
% 80.03/52.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s14))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(26003,plain,
% 80.03/52.32 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_f, X)) | m_and_h_gate_v_in1(I0, c_q, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s14)),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 80.03/52.32 tff(26004,plain,
% 80.03/52.32 (m_and_h_gate_v_in1(c_e_h_1, c_q, s14)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[26003, 25993, 25897])).
% 80.03/52.32 tff(26005,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s15)), introduced(assumption)).
% 80.03/52.32 tff(26006,assumption,(node22(c_e_h_1, c_q, s14, s15)), introduced(assumption)).
% 80.03/52.32 tff(26007,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(26008,plain,
% 80.03/52.32 ((m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~node22(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14))) <=> (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(26009,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~node22(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15))))),
% 80.03/52.32 inference(monotonicity,[status(thm)],[26008])).
% 80.03/52.32 tff(26010,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~node22(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.32 inference(transitivity,[status(thm)],[26009, 26007])).
% 80.03/52.32 tff(26011,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~node22(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)))),
% 80.03/52.32 inference(quant_inst,[status(thm)],[])).
% 80.03/52.32 tff(26012,plain,
% 80.03/52.32 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s14, s15))),
% 80.03/52.32 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 80.03/52.32 tff(26013,plain,
% 80.03/52.32 ($false),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[26012, 6905, 25999, 26005, 26006])).
% 80.03/52.32 tff(26014,plain,((~node22(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.32 tff(26015,plain,
% 80.03/52.32 (~node22(c_e_h_1, c_q, s14, s15)),
% 80.03/52.32 inference(unit_resolution,[status(thm)],[26014, 26005, 25999])).
% 80.03/52.32 tff(26016,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_q, s14)), introduced(assumption)).
% 80.03/52.32 tff(26017,assumption,(node21(c_e_h_1, c_q, s14, s15)), introduced(assumption)).
% 80.03/52.32 tff(26018,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(26019,plain,
% 80.03/52.32 (((~node21(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15)) <=> (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.32 inference(rewrite,[status(thm)],[])).
% 80.03/52.32 tff(26020,plain,
% 80.03/52.32 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15))))),
% 80.03/52.32 inference(monotonicity,[status(thm)],[26019])).
% 80.03/52.33 tff(26021,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15)))),
% 80.03/52.33 inference(transitivity,[status(thm)],[26020, 26018])).
% 80.03/52.33 tff(26022,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s14, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26023,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s14, s15))),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26022, 26021])).
% 80.03/52.33 tff(26024,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26023, 7190, 26005, 26017, 26000, 26016])).
% 80.03/52.33 tff(26025,plain,((~node21(c_e_h_1, c_q, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26026,plain,
% 80.03/52.33 (~node21(c_e_h_1, c_q, s14, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26025, 26005, 26000, 26016])).
% 80.03/52.33 tff(26027,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_q, s14, s15) | node22(c_e_h_1, c_q, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_q, s14, s15) | node22(c_e_h_1, c_q, s14, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26028,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_q, s14, s15) | node22(c_e_h_1, c_q, s14, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26029,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_q, s14, s15) | node22(c_e_h_1, c_q, s14, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 80.03/52.33 tff(26030,plain,
% 80.03/52.33 (node21(c_e_h_1, c_q, s14, s15) | node22(c_e_h_1, c_q, s14, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26029, 383, 18664])).
% 80.03/52.33 tff(26031,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26030, 26026, 26015])).
% 80.03/52.33 tff(26032,plain,(m_and_h_gate_v_out(c_e_h_1, c_q, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26033,plain,
% 80.03/52.33 (m_and_h_gate_v_out(c_e_h_1, c_q, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26032, 26004, 26000, 25999])).
% 80.03/52.33 tff(26034,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s15))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26035,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26036,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 80.03/52.33 tff(26037,plain,
% 80.03/52.33 (node3(c_e_h_1, c_e_h_2, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26036, 2823, 1791])).
% 80.03/52.33 tff(26038,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26039,plain,
% 80.03/52.33 ((m_cell_v_ack(c_e_h_2, s15) | (~node3(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26040,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s15) | (~node3(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15)))),
% 80.03/52.33 inference(monotonicity,[status(thm)],[26039])).
% 80.03/52.33 tff(26041,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s15) | (~node3(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15))),
% 80.03/52.33 inference(transitivity,[status(thm)],[26040, 26038])).
% 80.03/52.33 tff(26042,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s15) | (~node3(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26043,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | (~node3(c_e_h_1, c_e_h_2, s15)) | m_cell_v_ack(c_e_h_2, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26042, 26041])).
% 80.03/52.33 tff(26044,plain,
% 80.03/52.33 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_cell_v_ack(c_e_h_2, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26043, 14187, 26037])).
% 80.03/52.33 tff(26045,plain,
% 80.03/52.33 (m_cell_v_ack(c_e_h_2, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26044, 26033])).
% 80.03/52.33 tff(26046,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s15))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26047,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26048,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26047, 26046])).
% 80.03/52.33 tff(26049,plain,
% 80.03/52.33 (node2(c_e_h_1, c_e_h_2, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26048, 2823, 7161])).
% 80.03/52.33 tff(26050,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26051,plain,
% 80.03/52.33 (((~node2(c_e_h_1, c_e_h_2, s15)) | (~m_cell_v_ack(c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15))) <=> ((~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26052,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s15)) | (~m_cell_v_ack(c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15))))),
% 80.03/52.33 inference(monotonicity,[status(thm)],[26051])).
% 80.03/52.33 tff(26053,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s15)) | (~m_cell_v_ack(c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))),
% 80.03/52.33 inference(transitivity,[status(thm)],[26052, 26050])).
% 80.03/52.33 tff(26054,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s15)) | (~m_cell_v_ack(c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26055,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s15)) | (~node2(c_e_h_1, c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 80.03/52.33 tff(26056,plain,
% 80.03/52.33 ((~m_cell_v_ack(c_e_h_2, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26055, 14209, 26049])).
% 80.03/52.33 tff(26057,plain,
% 80.03/52.33 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26056, 26045])).
% 80.03/52.33 tff(26058,plain,
% 80.03/52.33 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_c, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26059,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26060,plain,
% 80.03/52.33 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_c, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 80.03/52.33 tff(26061,plain,
% 80.03/52.33 (~node20(c_e_h_1, c_c, s15)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26060, 334, 26057])).
% 80.03/52.33 tff(26062,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s16)), introduced(assumption)).
% 80.03/52.33 tff(26063,assumption,(node22(c_e_h_1, c_c, s15, s16)), introduced(assumption)).
% 80.03/52.33 tff(26064,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node22(c_e_h_1, c_c, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node22(c_e_h_1, c_c, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26065,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node22(c_e_h_1, c_c, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26066,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node22(c_e_h_1, c_c, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 80.03/52.33 tff(26067,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26066, 437, 26063, 25812, 26062])).
% 80.03/52.33 tff(26068,plain,((~node22(c_e_h_1, c_c, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26069,plain,
% 80.03/52.33 (~node22(c_e_h_1, c_c, s15, s16)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26068, 26062, 25812])).
% 80.03/52.33 tff(26070,assumption,(~node20(c_e_h_1, c_c, s15)), introduced(assumption)).
% 80.03/52.33 tff(26071,assumption,(node21(c_e_h_1, c_c, s15, s16)), introduced(assumption)).
% 80.03/52.33 tff(26072,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node21(c_e_h_1, c_c, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node21(c_e_h_1, c_c, s15, s16)))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26073,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node21(c_e_h_1, c_c, s15, s16)))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26074,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | (~node21(c_e_h_1, c_c, s15, s16))),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 80.03/52.33 tff(26075,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26074, 348, 26071, 26062, 26070])).
% 80.03/52.33 tff(26076,plain,((~node21(c_e_h_1, c_c, s15, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | node20(c_e_h_1, c_c, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26077,plain,
% 80.03/52.33 (~node21(c_e_h_1, c_c, s15, s16)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26076, 26062, 26070])).
% 80.03/52.33 tff(26078,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_c, s15, s16) | node22(c_e_h_1, c_c, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_c, s15, s16) | node22(c_e_h_1, c_c, s15, s16))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26079,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_c, s15, s16) | node22(c_e_h_1, c_c, s15, s16))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26080,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_c, s15, s16) | node22(c_e_h_1, c_c, s15, s16)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 80.03/52.33 tff(26081,plain,
% 80.03/52.33 (node21(c_e_h_1, c_c, s15, s16) | node22(c_e_h_1, c_c, s15, s16)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26080, 383, 21999])).
% 80.03/52.33 tff(26082,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26081, 26077, 26069])).
% 80.03/52.33 tff(26083,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s16)) | node20(c_e_h_1, c_c, s15) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26084,plain,
% 80.03/52.33 (~m_and_h_gate_v_out(c_e_h_1, c_c, s16)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26083, 26061, 25812])).
% 80.03/52.33 tff(26085,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s16)), introduced(assumption)).
% 80.03/52.33 tff(26086,assumption,(m_c_h_element_v_in1(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.33 tff(26087,plain,
% 80.03/52.33 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26088,plain,
% 80.03/52.33 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26089,plain,
% 80.03/52.33 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16)),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26088, 26087])).
% 80.03/52.33 tff(26090,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26089, 4240, 26086, 26085])).
% 80.03/52.33 tff(26091,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26092,plain,
% 80.03/52.33 (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26091, 26084])).
% 80.03/52.33 tff(26093,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.33 tff(26094,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.33 tff(26095,assumption,(node18(c_e_h_1, c_e, s16, s17)), introduced(assumption)).
% 80.03/52.33 tff(26096,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26097,plain,
% 80.03/52.33 (((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node18(c_e_h_1, c_e, s16, s17))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26098,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node18(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17))))),
% 80.03/52.33 inference(monotonicity,[status(thm)],[26097])).
% 80.03/52.33 tff(26099,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node18(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.33 inference(transitivity,[status(thm)],[26098, 26096])).
% 80.03/52.33 tff(26100,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~node18(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26101,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node18(c_e_h_1, c_e, s16, s17))),
% 80.03/52.33 inference(modus_ponens,[status(thm)],[26100, 26099])).
% 80.03/52.33 tff(26102,plain,
% 80.03/52.33 ($false),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26101, 481, 12655, 26094, 26095])).
% 80.03/52.33 tff(26103,plain,((~node18(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.33 tff(26104,plain,
% 80.03/52.33 (~node18(c_e_h_1, c_e, s16, s17)),
% 80.03/52.33 inference(unit_resolution,[status(thm)],[26103, 26094, 12655])).
% 80.03/52.33 tff(26105,assumption,(~node16(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.33 tff(26106,assumption,(node14(c_e_h_1, c_e, s16, s17)), introduced(assumption)).
% 80.03/52.33 tff(26107,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26108,plain,
% 80.03/52.33 (((~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.33 inference(rewrite,[status(thm)],[])).
% 80.03/52.33 tff(26109,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)))),
% 80.03/52.33 inference(monotonicity,[status(thm)],[26108])).
% 80.03/52.33 tff(26110,plain,
% 80.03/52.33 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.33 inference(transitivity,[status(thm)],[26109, 26107])).
% 80.03/52.33 tff(26111,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)))),
% 80.03/52.33 inference(quant_inst,[status(thm)],[])).
% 80.03/52.33 tff(26112,plain,
% 80.03/52.33 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node14(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 80.03/52.34 tff(26113,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26112, 575, 26094, 26106, 26093])).
% 80.03/52.34 tff(26114,plain,((~node14(c_e_h_1, c_e, s16, s17)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26115,plain,
% 80.03/52.34 (~node14(c_e_h_1, c_e, s16, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26114, 26094, 26093])).
% 80.03/52.34 tff(26116,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s16, s17)) | node19(c_e_h_1, c_e, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s16, s17)) | node19(c_e_h_1, c_e, s16, s17))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26117,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s16, s17)) | node19(c_e_h_1, c_e, s16, s17))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26118,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s16, s17)) | node19(c_e_h_1, c_e, s16, s17)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26117, 26116])).
% 80.03/52.34 tff(26119,plain,
% 80.03/52.34 (node19(c_e_h_1, c_e, s16, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26118, 494, 22053])).
% 80.03/52.34 tff(26120,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26121,plain,
% 80.03/52.34 ((node16(c_e_h_1, c_e, s16) | node14(c_e_h_1, c_e, s16, s17) | node15(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17))) <=> ((~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26122,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s16) | node14(c_e_h_1, c_e, s16, s17) | node15(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(monotonicity,[status(thm)],[26121])).
% 80.03/52.34 tff(26123,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s16) | node14(c_e_h_1, c_e, s16, s17) | node15(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(transitivity,[status(thm)],[26122, 26120])).
% 80.03/52.34 tff(26124,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s16) | node14(c_e_h_1, c_e, s16, s17) | node15(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26125,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 80.03/52.34 tff(26126,plain,
% 80.03/52.34 (node15(c_e_h_1, c_e, s16, s17) | node14(c_e_h_1, c_e, s16, s17) | node16(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26125, 594, 26119])).
% 80.03/52.34 tff(26127,plain,
% 80.03/52.34 (node15(c_e_h_1, c_e, s16, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26126, 26115, 26105])).
% 80.03/52.34 tff(26128,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node15(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node15(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26129,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node15(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26130,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | (~node15(c_e_h_1, c_e, s16, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26129, 26128])).
% 80.03/52.34 tff(26131,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26130, 612, 12655, 26094, 26127])).
% 80.03/52.34 tff(26132,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | node16(c_e_h_1, c_e, s16) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26133,plain,
% 80.03/52.34 (node16(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26132, 26094, 26093, 12655])).
% 80.03/52.34 tff(26134,assumption,(node16(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.34 tff(26135,assumption,(node17(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.34 tff(26136,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.03/52.34 tff(26137,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26138,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26139,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 80.03/52.34 tff(26140,plain,
% 80.03/52.34 (m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26139, 559, 26134])).
% 80.03/52.34 tff(26141,plain,
% 80.03/52.34 (m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26140, 26136])).
% 80.03/52.34 tff(26142,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~node17(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~node17(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26143,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~node17(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26144,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~node17(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 80.03/52.34 tff(26145,plain,
% 80.03/52.34 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26144, 541, 26135])).
% 80.03/52.34 tff(26146,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26145, 26141, 26136])).
% 80.03/52.34 tff(26147,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~node17(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26148,plain,
% 80.03/52.34 (m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26147, 26135, 26134])).
% 80.03/52.34 tff(26149,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26150,plain,
% 80.03/52.34 (((~node16(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26151,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16))))),
% 80.03/52.34 inference(monotonicity,[status(thm)],[26150])).
% 80.03/52.34 tff(26152,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(transitivity,[status(thm)],[26151, 26149])).
% 80.03/52.34 tff(26153,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26154,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 80.03/52.34 tff(26155,plain,
% 80.03/52.34 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26154, 1192, 26134])).
% 80.03/52.34 tff(26156,plain,
% 80.03/52.34 (~m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26155, 26148])).
% 80.03/52.34 tff(26157,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26158,plain,
% 80.03/52.34 ((m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26159,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(monotonicity,[status(thm)],[26158])).
% 80.03/52.34 tff(26160,plain,
% 80.03/52.34 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(transitivity,[status(thm)],[26159, 26157])).
% 80.03/52.34 tff(26161,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s16) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26162,plain,
% 80.03/52.34 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 80.03/52.34 tff(26163,plain,
% 80.03/52.34 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26162, 1172, 26135])).
% 80.03/52.34 tff(26164,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26163, 26156, 26148])).
% 80.03/52.34 tff(26165,plain,((~node17(c_e_h_1, c_e, s16)) | (~node16(c_e_h_1, c_e, s16))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26166,plain,
% 80.03/52.34 (~node17(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26165, 26133])).
% 80.03/52.34 tff(26167,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26168,plain,
% 80.03/52.34 ((node17(c_e_h_1, c_e, s16) | node18(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17))) <=> ((~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26169,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s16) | node18(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16)))),
% 80.03/52.34 inference(monotonicity,[status(thm)],[26168])).
% 80.03/52.34 tff(26170,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s16) | node18(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16))),
% 80.03/52.34 inference(transitivity,[status(thm)],[26169, 26167])).
% 80.03/52.34 tff(26171,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s16) | node18(c_e_h_1, c_e, s16, s17) | (~node19(c_e_h_1, c_e, s16, s17)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26172,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_e, s16, s17)) | node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26171, 26170])).
% 80.03/52.34 tff(26173,plain,
% 80.03/52.34 (node18(c_e_h_1, c_e, s16, s17) | node17(c_e_h_1, c_e, s16)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26172, 508, 26119])).
% 80.03/52.34 tff(26174,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26173, 26166, 26104])).
% 80.03/52.34 tff(26175,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in1(c_e_h_1, c_e, s16)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26176,plain,
% 80.03/52.34 (~m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26175, 26093, 12655])).
% 80.03/52.34 tff(26177,plain,
% 80.03/52.34 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26178,plain,
% 80.03/52.34 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26179,plain,
% 80.03/52.34 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)) | m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26178, 26177])).
% 80.03/52.34 tff(26180,plain,
% 80.03/52.34 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26179, 9234, 26176])).
% 80.03/52.34 tff(26181,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_c, s17)), introduced(assumption)).
% 80.03/52.34 tff(26182,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s18)), introduced(assumption)).
% 80.03/52.34 tff(26183,plain,
% 80.03/52.34 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s17))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s17))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26184,plain,
% 80.03/52.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s17))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26185,plain,
% 80.03/52.34 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s17)),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26184, 26183])).
% 80.03/52.34 tff(26186,plain,
% 80.03/52.34 (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26185, 4240, 26181])).
% 80.03/52.34 tff(26187,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.34 tff(26188,assumption,(node14(c_e_h_1, c_e, s17, s18)), introduced(assumption)).
% 80.03/52.34 tff(26189,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26190,plain,
% 80.03/52.34 (((~node14(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.34 inference(rewrite,[status(thm)],[])).
% 80.03/52.34 tff(26191,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18))))),
% 80.03/52.34 inference(monotonicity,[status(thm)],[26190])).
% 80.03/52.34 tff(26192,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.34 inference(transitivity,[status(thm)],[26191, 26189])).
% 80.03/52.34 tff(26193,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)))),
% 80.03/52.34 inference(quant_inst,[status(thm)],[])).
% 80.03/52.34 tff(26194,plain,
% 80.03/52.34 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~node14(c_e_h_1, c_e, s17, s18))),
% 80.03/52.34 inference(modus_ponens,[status(thm)],[26193, 26192])).
% 80.03/52.34 tff(26195,plain,
% 80.03/52.34 ($false),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26194, 575, 26182, 26188, 26187])).
% 80.03/52.34 tff(26196,plain,((~node14(c_e_h_1, c_e, s17, s18)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.34 tff(26197,plain,
% 80.03/52.34 (~node14(c_e_h_1, c_e, s17, s18)),
% 80.03/52.34 inference(unit_resolution,[status(thm)],[26196, 26186, 26182])).
% 80.03/52.34 tff(26198,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.34 tff(26199,assumption,(node18(c_e_h_1, c_e, s17, s18)), introduced(assumption)).
% 80.03/52.34 tff(26200,plain,
% 80.03/52.34 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~node18(c_e_h_1, c_e, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~node18(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26201,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~node18(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26202,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~node18(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26201, 26200])).
% 80.03/52.35 tff(26203,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26202, 481, 26198, 26182, 26199])).
% 80.03/52.35 tff(26204,plain,((~node18(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.35 tff(26205,plain,
% 80.03/52.35 (~node18(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26204, 26198, 26182])).
% 80.03/52.35 tff(26206,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s17, s18)) | node19(c_e_h_1, c_e, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s17, s18)) | node19(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26207,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s17, s18)) | node19(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26208,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s17, s18)) | node19(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 80.03/52.35 tff(26209,plain,
% 80.03/52.35 (node19(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26208, 494, 22143])).
% 80.03/52.35 tff(26210,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s17) | node18(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s17) | node18(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26211,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_e, s17) | node18(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26212,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_e, s17) | node18(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26211, 26210])).
% 80.03/52.35 tff(26213,plain,
% 80.03/52.35 (node17(c_e_h_1, c_e, s17) | node18(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26212, 508, 26209])).
% 80.03/52.35 tff(26214,plain,
% 80.03/52.35 (node17(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26213, 26205])).
% 80.03/52.35 tff(26215,assumption,(~node14(c_e_h_1, c_e, s17, s18)), introduced(assumption)).
% 80.03/52.35 tff(26216,assumption,(node15(c_e_h_1, c_e, s17, s18)), introduced(assumption)).
% 80.03/52.35 tff(26217,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | (~node15(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | (~node15(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26218,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | (~node15(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26219,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | (~node15(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 80.03/52.35 tff(26220,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26219, 612, 26198, 26182, 26216])).
% 80.03/52.35 tff(26221,plain,((~node15(c_e_h_1, c_e, s17, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s17) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.35 tff(26222,plain,
% 80.03/52.35 (~node15(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26221, 26198, 26182])).
% 80.03/52.35 tff(26223,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26224,plain,
% 80.03/52.35 ((node16(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18) | node15(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18))) <=> (node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26225,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18) | node15(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(monotonicity,[status(thm)],[26224])).
% 80.03/52.35 tff(26226,plain,
% 80.03/52.35 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18) | node15(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18))),
% 80.03/52.35 inference(transitivity,[status(thm)],[26225, 26223])).
% 80.03/52.35 tff(26227,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18) | node15(c_e_h_1, c_e, s17, s18) | (~node19(c_e_h_1, c_e, s17, s18)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26228,plain,
% 80.03/52.35 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | (~node19(c_e_h_1, c_e, s17, s18)) | node14(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 80.03/52.35 tff(26229,plain,
% 80.03/52.35 (node15(c_e_h_1, c_e, s17, s18) | node16(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26228, 594, 26209])).
% 80.03/52.35 tff(26230,plain,
% 80.03/52.35 (node16(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26229, 26222, 26215])).
% 80.03/52.35 tff(26231,assumption,(node17(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.35 tff(26232,assumption,(node16(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.35 tff(26233,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.03/52.35 tff(26234,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26235,plain,
% 80.03/52.35 (((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17) | (~node17(c_e_h_1, c_e, s17))) <=> ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26236,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17) | (~node17(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(monotonicity,[status(thm)],[26235])).
% 80.03/52.35 tff(26237,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17) | (~node17(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(transitivity,[status(thm)],[26236, 26234])).
% 80.03/52.35 tff(26238,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17) | (~node17(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26239,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 80.03/52.35 tff(26240,plain,
% 80.03/52.35 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26239, 541, 26231])).
% 80.03/52.35 tff(26241,plain,
% 80.03/52.35 (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26240, 26233])).
% 80.03/52.35 tff(26242,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26243,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26244,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17) | m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 80.03/52.35 tff(26245,plain,
% 80.03/52.35 (m_c_h_element_v_in1(c_e_h_1, c_e, s17) | m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26244, 559, 26232])).
% 80.03/52.35 tff(26246,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26245, 26241, 26233])).
% 80.03/52.35 tff(26247,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s17) | (~node16(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.35 tff(26248,plain,
% 80.03/52.35 (m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26247, 26232, 26231])).
% 80.03/52.35 tff(26249,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26250,plain,
% 80.03/52.35 ((m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17))) <=> ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26251,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(monotonicity,[status(thm)],[26250])).
% 80.03/52.35 tff(26252,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(transitivity,[status(thm)],[26251, 26249])).
% 80.03/52.35 tff(26253,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_e, s17) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26254,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26253, 26252])).
% 80.03/52.35 tff(26255,plain,
% 80.03/52.35 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26254, 1172, 26231])).
% 80.03/52.35 tff(26256,plain,
% 80.03/52.35 (m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26255, 26248])).
% 80.03/52.35 tff(26257,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26258,plain,
% 80.03/52.35 (((~node16(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(rewrite,[status(thm)],[])).
% 80.03/52.35 tff(26259,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17))))),
% 80.03/52.35 inference(monotonicity,[status(thm)],[26258])).
% 80.03/52.35 tff(26260,plain,
% 80.03/52.35 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(transitivity,[status(thm)],[26259, 26257])).
% 80.03/52.35 tff(26261,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)))),
% 80.03/52.35 inference(quant_inst,[status(thm)],[])).
% 80.03/52.35 tff(26262,plain,
% 80.03/52.35 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | (~node16(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 80.03/52.35 tff(26263,plain,
% 80.03/52.35 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17))),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26262, 1192, 26232])).
% 80.03/52.35 tff(26264,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26263, 26256, 26248])).
% 80.03/52.35 tff(26265,plain,((~node16(c_e_h_1, c_e, s17)) | (~node17(c_e_h_1, c_e, s17))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.35 tff(26266,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26265, 26230, 26214])).
% 80.03/52.35 tff(26267,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s17) | node14(c_e_h_1, c_e, s17, s18) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.35 tff(26268,plain,
% 80.03/52.35 (m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26267, 26197, 26182])).
% 80.03/52.35 tff(26269,plain,
% 80.03/52.35 (~node18(c_e_h_1, c_e, s16, s17)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26103, 26268, 12655])).
% 80.03/52.35 tff(26270,plain,
% 80.03/52.35 (node16(c_e_h_1, c_e, s16)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26132, 26268, 26093, 12655])).
% 80.03/52.35 tff(26271,plain,
% 80.03/52.35 (~node17(c_e_h_1, c_e, s16)),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26165, 26270])).
% 80.03/52.35 tff(26272,plain,
% 80.03/52.35 ($false),
% 80.03/52.35 inference(unit_resolution,[status(thm)],[26173, 26271, 26269])).
% 80.03/52.35 tff(26273,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_and_h_gate_v_out(c_e_h_1, c_c, s17)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.36 tff(26274,plain,
% 80.03/52.36 (~m_c_h_element_v_out(c_e_h_1, c_e, s18)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26273, 26093, 12655, 26181])).
% 80.03/52.36 tff(26275,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_r, s18)), introduced(assumption)).
% 80.03/52.36 tff(26276,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s18)), introduced(assumption)).
% 80.03/52.36 tff(26277,plain,
% 80.03/52.36 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s18))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s18))),
% 80.03/52.36 inference(rewrite,[status(thm)],[])).
% 80.03/52.36 tff(26278,plain,
% 80.03/52.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s18))),
% 80.03/52.36 inference(quant_inst,[status(thm)],[])).
% 80.03/52.36 tff(26279,plain,
% 80.03/52.36 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s18)),
% 80.03/52.36 inference(modus_ponens,[status(thm)],[26278, 26277])).
% 80.03/52.36 tff(26280,plain,
% 80.03/52.36 ($false),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26279, 9234, 26276, 26275])).
% 80.03/52.36 tff(26281,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)) | m_c_h_element_v_out(c_e_h_1, c_e, s18)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.36 tff(26282,plain,
% 80.03/52.36 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26281, 26274])).
% 80.03/52.36 tff(26283,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)), introduced(assumption)).
% 80.03/52.36 tff(26284,plain,
% 80.03/52.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s18))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s18))),
% 80.03/52.36 inference(rewrite,[status(thm)],[])).
% 80.03/52.36 tff(26285,plain,
% 80.03/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s18))),
% 80.03/52.36 inference(quant_inst,[status(thm)],[])).
% 80.03/52.36 tff(26286,plain,
% 80.03/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s18)),
% 80.03/52.36 inference(modus_ponens,[status(thm)],[26285, 26284])).
% 80.03/52.36 tff(26287,plain,
% 80.03/52.36 ($false),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26286, 22, 22165, 26283])).
% 80.03/52.36 tff(26288,plain,((~node20(c_e_h_1, c_r, s18)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s18)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.36 tff(26289,plain,
% 80.03/52.36 (~node20(c_e_h_1, c_r, s18)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26288, 26282])).
% 80.03/52.36 tff(26290,plain,
% 80.03/52.36 (m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s18) | node26(s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node24(s14) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | node20(c_e_h_1, c_r, s17) | node20(c_e_h_1, c_r, s16)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[25225, 21900, 21881])).
% 80.03/52.36 tff(26291,plain,
% 80.03/52.36 (node20(c_e_h_1, c_r, s17)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26290, 26289, 21070, 21061, 21071, 18547, 18563, 21069, 21068, 22080, 18587, 21062, 18713, 21083])).
% 80.03/52.36 tff(26292,plain,
% 80.03/52.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s17))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s17))),
% 80.03/52.36 inference(rewrite,[status(thm)],[])).
% 80.03/52.36 tff(26293,plain,
% 80.03/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s17))),
% 80.03/52.36 inference(quant_inst,[status(thm)],[])).
% 80.03/52.36 tff(26294,plain,
% 80.03/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s17)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s17)),
% 80.03/52.36 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 80.03/52.36 tff(26295,plain,
% 80.03/52.36 ($false),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26294, 22, 26291, 26180])).
% 80.03/52.36 tff(26296,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s17)), inference(lemma,lemma(discharge,[]))).
% 80.03/52.36 tff(26297,plain,
% 80.03/52.36 (m_and_h_gate_v_out(c_e_h_1, c_c, s17)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26296, 26092, 21061, 21071, 18547, 18563, 21069, 21068, 22080, 18587, 21062, 18713, 12655, 21070])).
% 80.03/52.36 tff(26298,assumption,(m_and_h_gate_v_out(c_e_h_1, c_c, s17)), introduced(assumption)).
% 80.03/52.36 tff(26299,assumption,(node22(c_e_h_1, c_c, s16, s17)), introduced(assumption)).
% 80.03/52.36 tff(26300,plain,
% 80.03/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node22(c_e_h_1, c_c, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node22(c_e_h_1, c_c, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))),
% 80.03/52.36 inference(rewrite,[status(thm)],[])).
% 80.03/52.36 tff(26301,plain,
% 80.03/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node22(c_e_h_1, c_c, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16))),
% 80.03/52.36 inference(quant_inst,[status(thm)],[])).
% 80.03/52.36 tff(26302,plain,
% 80.03/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node22(c_e_h_1, c_c, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16)),
% 80.03/52.36 inference(modus_ponens,[status(thm)],[26301, 26300])).
% 80.03/52.36 tff(26303,plain,
% 80.03/52.36 ($false),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26302, 437, 26299, 26085, 26298])).
% 80.03/52.36 tff(26304,plain,((~node22(c_e_h_1, c_c, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_c, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17))), inference(lemma,lemma(discharge,[]))).
% 80.03/52.36 tff(26305,plain,
% 80.03/52.36 (~node22(c_e_h_1, c_c, s16, s17)),
% 80.03/52.36 inference(unit_resolution,[status(thm)],[26304, 26298, 26085])).
% 80.03/52.36 tff(26306,assumption,(~node20(c_e_h_1, c_c, s16)), introduced(assumption)).
% 80.03/52.36 tff(26307,assumption,(node21(c_e_h_1, c_c, s16, s17)), introduced(assumption)).
% 80.03/52.36 tff(26308,plain,
% 80.03/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node21(c_e_h_1, c_c, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node21(c_e_h_1, c_c, s16, s17)))),
% 80.03/52.36 inference(rewrite,[status(thm)],[])).
% 80.03/52.36 tff(26309,plain,
% 80.03/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node21(c_e_h_1, c_c, s16, s17)))),
% 80.03/52.36 inference(quant_inst,[status(thm)],[])).
% 80.09/52.36 tff(26310,plain,
% 80.09/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | (~node21(c_e_h_1, c_c, s16, s17))),
% 80.09/52.36 inference(modus_ponens,[status(thm)],[26309, 26308])).
% 80.09/52.36 tff(26311,plain,
% 80.09/52.36 ($false),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26310, 348, 26307, 26298, 26306])).
% 80.09/52.36 tff(26312,plain,((~node21(c_e_h_1, c_c, s16, s17)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | node20(c_e_h_1, c_c, s16)), inference(lemma,lemma(discharge,[]))).
% 80.09/52.36 tff(26313,plain,
% 80.09/52.36 (~node21(c_e_h_1, c_c, s16, s17)),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26312, 26298, 26306])).
% 80.09/52.36 tff(26314,plain,
% 80.09/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_c, s16, s17) | node22(c_e_h_1, c_c, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_c, s16, s17) | node22(c_e_h_1, c_c, s16, s17))),
% 80.09/52.36 inference(rewrite,[status(thm)],[])).
% 80.09/52.36 tff(26315,plain,
% 80.09/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_c, s16, s17) | node22(c_e_h_1, c_c, s16, s17))),
% 80.09/52.36 inference(quant_inst,[status(thm)],[])).
% 80.09/52.36 tff(26316,plain,
% 80.09/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_c, s16, s17) | node22(c_e_h_1, c_c, s16, s17)),
% 80.09/52.36 inference(modus_ponens,[status(thm)],[26315, 26314])).
% 80.09/52.36 tff(26317,plain,
% 80.09/52.36 (node21(c_e_h_1, c_c, s16, s17) | node22(c_e_h_1, c_c, s16, s17)),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26316, 383, 22053])).
% 80.09/52.36 tff(26318,plain,
% 80.09/52.36 ($false),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26317, 26313, 26305])).
% 80.09/52.36 tff(26319,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s17)) | node20(c_e_h_1, c_c, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s16)), inference(lemma,lemma(discharge,[]))).
% 80.09/52.36 tff(26320,plain,
% 80.09/52.36 (node20(c_e_h_1, c_c, s16)),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26319, 26297, 26084])).
% 80.09/52.36 tff(26321,plain,
% 80.09/52.36 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_c, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s16))),
% 80.09/52.36 inference(rewrite,[status(thm)],[])).
% 80.09/52.36 tff(26322,plain,
% 80.09/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s16))),
% 80.09/52.36 inference(quant_inst,[status(thm)],[])).
% 80.09/52.36 tff(26323,plain,
% 80.09/52.36 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_c, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_c, s16)),
% 80.09/52.36 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 80.09/52.36 tff(26324,plain,
% 80.09/52.36 (m_and_h_gate_v_in2(c_e_h_1, c_c, s16)),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26323, 334, 26320])).
% 80.09/52.36 tff(26325,plain,
% 80.09/52.36 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s16))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s16))),
% 80.09/52.36 inference(rewrite,[status(thm)],[])).
% 80.09/52.36 tff(26326,plain,
% 80.09/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s16))),
% 80.09/52.36 inference(quant_inst,[status(thm)],[])).
% 80.09/52.36 tff(26327,plain,
% 80.09/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s16)),
% 80.09/52.36 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 80.09/52.36 tff(26328,plain,
% 80.09/52.36 (node2(c_e_h_1, c_e_h_2, s16)),
% 80.09/52.36 inference(unit_resolution,[status(thm)],[26327, 2823, 7161])).
% 80.10/52.36 tff(26329,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26330,plain,
% 80.10/52.36 (((~node2(c_e_h_1, c_e_h_2, s16)) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16))) <=> ((~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26331,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s16)) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16))))),
% 80.10/52.36 inference(monotonicity,[status(thm)],[26330])).
% 80.10/52.36 tff(26332,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s16)) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16)))),
% 80.10/52.36 inference(transitivity,[status(thm)],[26331, 26329])).
% 80.10/52.36 tff(26333,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_1, c_e_h_2, s16)) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)))),
% 80.10/52.36 inference(quant_inst,[status(thm)],[])).
% 80.10/52.36 tff(26334,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16)) | (~node2(c_e_h_1, c_e_h_2, s16))),
% 80.10/52.36 inference(modus_ponens,[status(thm)],[26333, 26332])).
% 80.10/52.36 tff(26335,plain,
% 80.10/52.36 ((~m_cell_v_ack(c_e_h_2, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s16))),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26334, 14209, 26328])).
% 80.10/52.36 tff(26336,plain,
% 80.10/52.36 (~m_cell_v_ack(c_e_h_2, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26335, 26324])).
% 80.10/52.36 tff(26337,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s16))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s16))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26338,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s16))),
% 80.10/52.36 inference(quant_inst,[status(thm)],[])).
% 80.10/52.36 tff(26339,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s16)),
% 80.10/52.36 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 80.10/52.36 tff(26340,plain,
% 80.10/52.36 (node3(c_e_h_1, c_e_h_2, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26339, 2823, 1791])).
% 80.10/52.36 tff(26341,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26342,plain,
% 80.10/52.36 ((m_cell_v_ack(c_e_h_2, s16) | (~node3(c_e_h_1, c_e_h_2, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26343,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s16) | (~node3(c_e_h_1, c_e_h_2, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16)))),
% 80.10/52.36 inference(monotonicity,[status(thm)],[26342])).
% 80.10/52.36 tff(26344,plain,
% 80.10/52.36 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s16) | (~node3(c_e_h_1, c_e_h_2, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16))),
% 80.10/52.36 inference(transitivity,[status(thm)],[26343, 26341])).
% 80.10/52.36 tff(26345,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_2, s16) | (~node3(c_e_h_1, c_e_h_2, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)))),
% 80.10/52.36 inference(quant_inst,[status(thm)],[])).
% 80.10/52.36 tff(26346,plain,
% 80.10/52.36 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | (~node3(c_e_h_1, c_e_h_2, s16)) | m_cell_v_ack(c_e_h_2, s16)),
% 80.10/52.36 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 80.10/52.36 tff(26347,plain,
% 80.10/52.36 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s16)) | m_cell_v_ack(c_e_h_2, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26346, 14187, 26340])).
% 80.10/52.36 tff(26348,plain,
% 80.10/52.36 (~m_and_h_gate_v_out(c_e_h_1, c_q, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26347, 26336])).
% 80.10/52.36 tff(26349,assumption,(node22(c_e_h_1, c_q, s15, s16)), introduced(assumption)).
% 80.10/52.36 tff(26350,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s15)), introduced(assumption)).
% 80.10/52.36 tff(26351,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s16)), introduced(assumption)).
% 80.10/52.36 tff(26352,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26353,plain,
% 80.10/52.36 ((m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26354,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16))))),
% 80.10/52.36 inference(monotonicity,[status(thm)],[26353])).
% 80.10/52.36 tff(26355,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.36 inference(transitivity,[status(thm)],[26354, 26352])).
% 80.10/52.36 tff(26356,plain,
% 80.10/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)))),
% 80.10/52.36 inference(quant_inst,[status(thm)],[])).
% 80.10/52.36 tff(26357,plain,
% 80.10/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~node22(c_e_h_1, c_q, s15, s16))),
% 80.10/52.36 inference(modus_ponens,[status(thm)],[26356, 26355])).
% 80.10/52.36 tff(26358,plain,
% 80.10/52.36 ($false),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26357, 6905, 26351, 26350, 26349])).
% 80.10/52.36 tff(26359,plain,((~node22(c_e_h_1, c_q, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s15))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.36 tff(26360,plain,
% 80.10/52.36 (~node22(c_e_h_1, c_q, s15, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26359, 26348, 26033])).
% 80.10/52.36 tff(26361,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_q, s15, s16) | node22(c_e_h_1, c_q, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_q, s15, s16) | node22(c_e_h_1, c_q, s15, s16))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26362,plain,
% 80.10/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_q, s15, s16) | node22(c_e_h_1, c_q, s15, s16))),
% 80.10/52.36 inference(quant_inst,[status(thm)],[])).
% 80.10/52.36 tff(26363,plain,
% 80.10/52.36 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_q, s15, s16) | node22(c_e_h_1, c_q, s15, s16)),
% 80.10/52.36 inference(modus_ponens,[status(thm)],[26362, 26361])).
% 80.10/52.36 tff(26364,plain,
% 80.10/52.36 (node21(c_e_h_1, c_q, s15, s16) | node22(c_e_h_1, c_q, s15, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26363, 383, 21999])).
% 80.10/52.36 tff(26365,plain,
% 80.10/52.36 (node21(c_e_h_1, c_q, s15, s16)),
% 80.10/52.36 inference(unit_resolution,[status(thm)],[26364, 26360])).
% 80.10/52.36 tff(26366,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26367,plain,
% 80.10/52.36 (((~node21(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16)) <=> (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.36 inference(rewrite,[status(thm)],[])).
% 80.10/52.36 tff(26368,plain,
% 80.10/52.36 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16))))),
% 80.10/52.37 inference(monotonicity,[status(thm)],[26367])).
% 80.10/52.37 tff(26369,plain,
% 80.10/52.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16)))),
% 80.10/52.37 inference(transitivity,[status(thm)],[26368, 26366])).
% 80.10/52.37 tff(26370,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_q, s15, s16)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | m_and_h_gate_v_out(c_e_h_1, c_q, s16))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26371,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_q, s16) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s15)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | (~node21(c_e_h_1, c_q, s15, s16))),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 80.10/52.37 tff(26372,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26371, 7190, 26348, 26365, 25998, 25997])).
% 80.10/52.37 tff(26373,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s15)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s14))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26374,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_f, s14)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26373, 25895, 21061, 21071, 18547, 18563, 21069, 21068, 21743, 18587, 21062, 18713, 12655, 21070, 25861, 25855, 25347, 21060])).
% 80.10/52.37 tff(26375,plain,
% 80.10/52.37 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_d, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_d, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16057, 15681])).
% 80.10/52.37 tff(26376,plain,
% 80.10/52.37 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26375, 15806, 14288])).
% 80.10/52.37 tff(26377,plain,
% 80.10/52.37 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26376, 17780, 18087, 17783, 18700])).
% 80.10/52.37 tff(26378,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16065, 26377])).
% 80.10/52.37 tff(26379,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[6489, 26378, 6423])).
% 80.10/52.37 tff(26380,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_k, s4)), introduced(assumption)).
% 80.10/52.37 tff(26381,plain,
% 80.10/52.37 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26382,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26383,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 80.10/52.37 tff(26384,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26383, 2538, 7448, 26380])).
% 80.10/52.37 tff(26385,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)) | m_or_h_gate_v_out(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26386,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26385, 18697])).
% 80.10/52.37 tff(26387,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_k, s4)), introduced(assumption)).
% 80.10/52.37 tff(26388,assumption,(node20(c_e_h_1, c_k, s4)), introduced(assumption)).
% 80.10/52.37 tff(26389,plain,
% 80.10/52.37 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s4))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26390,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s4))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26391,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s4)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 80.10/52.37 tff(26392,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26391, 22, 26388, 26387])).
% 80.10/52.37 tff(26393,plain,((~node20(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26394,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_k, s4)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26393, 26386])).
% 80.10/52.37 tff(26395,plain,
% 80.10/52.37 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[8749, 18225])).
% 80.10/52.37 tff(26396,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_l, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[8757, 26395])).
% 80.10/52.37 tff(26397,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_p, s6)), introduced(assumption)).
% 80.10/52.37 tff(26398,plain,
% 80.10/52.37 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26399,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26400,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26399, 26398])).
% 80.10/52.37 tff(26401,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26400, 1380, 13703, 26397])).
% 80.10/52.37 tff(26402,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s6)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26403,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26402, 13703])).
% 80.10/52.37 tff(26404,assumption,(node20(c_e_h_2, c_p, s6)), introduced(assumption)).
% 80.10/52.37 tff(26405,plain,
% 80.10/52.37 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26406,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26407,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26406, 26405])).
% 80.10/52.37 tff(26408,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26407, 22, 26404, 14230])).
% 80.10/52.37 tff(26409,plain,((~node20(c_e_h_2, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26410,plain,
% 80.10/52.37 (~node20(c_e_h_2, c_p, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26409, 26403])).
% 80.10/52.37 tff(26411,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14228, 13703, 13537, 13646, 13545])).
% 80.10/52.37 tff(26412,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13701, 26411])).
% 80.10/52.37 tff(26413,plain,
% 80.10/52.37 (~node20(c_e_h_2, c_p, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13693, 26412])).
% 80.10/52.37 tff(26414,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13685, 26413, 13663])).
% 80.10/52.37 tff(26415,assumption,(~node20(c_e_h_2, c_p, s6)), introduced(assumption)).
% 80.10/52.37 tff(26416,plain,
% 80.10/52.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node22(c_e_h_2, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node22(c_e_h_2, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26417,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node22(c_e_h_2, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26418,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node22(c_e_h_2, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26417, 26416])).
% 80.10/52.37 tff(26419,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26418, 437, 13522, 14263, 14341])).
% 80.10/52.37 tff(26420,plain,((~node22(c_e_h_2, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26421,plain,
% 80.10/52.37 (~node22(c_e_h_2, c_p, s6, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26420, 14341, 13522])).
% 80.10/52.37 tff(26422,plain,
% 80.10/52.37 (node21(c_e_h_2, c_p, s6, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14276, 26421])).
% 80.10/52.37 tff(26423,plain,
% 80.10/52.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26424,plain,
% 80.10/52.37 ((node20(c_e_h_2, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s6, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26425,plain,
% 80.10/52.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7))))),
% 80.10/52.37 inference(monotonicity,[status(thm)],[26424])).
% 80.10/52.37 tff(26426,plain,
% 80.10/52.37 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 80.10/52.37 inference(transitivity,[status(thm)],[26425, 26423])).
% 80.10/52.37 tff(26427,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s6, s7)))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26428,plain,
% 80.10/52.37 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | (~node21(c_e_h_2, c_p, s6, s7))),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26427, 26426])).
% 80.10/52.37 tff(26429,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26428, 348, 26422, 26415, 14341])).
% 80.10/52.37 tff(26430,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | node20(c_e_h_2, c_p, s6) | m_and_h_gate_v_out(c_e_h_2, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26431,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26430, 26414, 26410])).
% 80.10/52.37 tff(26432,assumption,(m_cell_v_req(c_e_h_2, s7)), introduced(assumption)).
% 80.10/52.37 tff(26433,plain,
% 80.10/52.37 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26434,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26435,plain,
% 80.10/52.37 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7)),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 80.10/52.37 tff(26436,plain,
% 80.10/52.37 ($false),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26435, 1036, 26432, 14262])).
% 80.10/52.37 tff(26437,plain,((~m_cell_v_req(c_e_h_2, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s7)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.37 tff(26438,plain,
% 80.10/52.37 (~m_cell_v_req(c_e_h_2, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26437, 26431])).
% 80.10/52.37 tff(26439,plain,
% 80.10/52.37 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26440,plain,
% 80.10/52.37 (((~node1(c_e_h_1, c_e_h_2, s7)) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))) <=> (m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)))),
% 80.10/52.37 inference(rewrite,[status(thm)],[])).
% 80.10/52.37 tff(26441,plain,
% 80.10/52.37 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7))))),
% 80.10/52.37 inference(monotonicity,[status(thm)],[26440])).
% 80.10/52.37 tff(26442,plain,
% 80.10/52.37 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7)))),
% 80.10/52.37 inference(transitivity,[status(thm)],[26441, 26439])).
% 80.10/52.37 tff(26443,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_1, c_e_h_2, s7)) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)))),
% 80.10/52.37 inference(quant_inst,[status(thm)],[])).
% 80.10/52.37 tff(26444,plain,
% 80.10/52.37 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)) | (~node1(c_e_h_1, c_e_h_2, s7))),
% 80.10/52.37 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 80.10/52.37 tff(26445,plain,
% 80.10/52.37 (m_cell_v_req(c_e_h_2, s7) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7))),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26444, 1064, 14322])).
% 80.10/52.37 tff(26446,plain,
% 80.10/52.37 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[26445, 26438])).
% 80.10/52.37 tff(26447,plain,
% 80.10/52.37 (~m_cell_v_req(c_e_h_2, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13528, 26414])).
% 80.10/52.37 tff(26448,plain,
% 80.10/52.37 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13520, 26447])).
% 80.10/52.37 tff(26449,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[13511, 26448])).
% 80.10/52.37 tff(26450,plain,
% 80.10/52.37 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[21691, 12656])).
% 80.10/52.37 tff(26451,plain,
% 80.10/52.37 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7445, 26450])).
% 80.10/52.37 tff(26452,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7453, 26451])).
% 80.10/52.37 tff(26453,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7465, 26452])).
% 80.10/52.37 tff(26454,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[6616, 8, 26453])).
% 80.10/52.37 tff(26455,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_i, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[6592, 22, 26454])).
% 80.10/52.37 tff(26456,plain,
% 80.10/52.37 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[8741, 26455])).
% 80.10/52.37 tff(26457,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[15598, 26450])).
% 80.10/52.37 tff(26458,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[15613, 26453, 26457])).
% 80.10/52.37 tff(26459,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7596, 8, 26458])).
% 80.10/52.37 tff(26460,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_i, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7604, 26459])).
% 80.10/52.37 tff(26461,plain,
% 80.10/52.37 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16417, 26455, 26460])).
% 80.10/52.37 tff(26462,plain,
% 80.10/52.37 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16424, 26461])).
% 80.10/52.37 tff(26463,plain,
% 80.10/52.37 (~node9(c_e_h_1, c_m, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16432, 26462])).
% 80.10/52.37 tff(26464,plain,
% 80.10/52.37 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16455, 26463, 26456])).
% 80.10/52.37 tff(26465,plain,
% 80.10/52.37 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16308, 26456])).
% 80.10/52.37 tff(26466,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7492, 26455])).
% 80.10/52.37 tff(26467,plain,
% 80.10/52.37 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7500, 26466])).
% 80.10/52.37 tff(26468,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7592, 26467])).
% 80.10/52.37 tff(26469,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7624, 26466, 26460])).
% 80.10/52.37 tff(26470,plain,
% 80.10/52.37 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7632, 26469])).
% 80.10/52.37 tff(26471,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[15737, 26453, 15951, 26450])).
% 80.10/52.37 tff(26472,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7711, 8, 26471])).
% 80.10/52.37 tff(26473,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_i, s7)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7719, 26472])).
% 80.10/52.37 tff(26474,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7742, 26469, 26473])).
% 80.10/52.37 tff(26475,plain,
% 80.10/52.37 (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7750, 26474])).
% 80.10/52.37 tff(26476,plain,
% 80.10/52.37 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[16403, 26475, 26470, 26468, 26465])).
% 80.10/52.37 tff(26477,plain,
% 80.10/52.37 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[17503, 26476])).
% 80.10/52.37 tff(26478,plain,
% 80.10/52.37 (~node9(c_e_h_1, c_m, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[17511, 26477])).
% 80.10/52.37 tff(26479,plain,
% 80.10/52.37 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[17537, 26478, 26464])).
% 80.10/52.37 tff(26480,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[17905, 17900])).
% 80.10/52.37 tff(26481,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7707, 26470, 26468])).
% 80.10/52.37 tff(26482,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[7843, 26475, 26481])).
% 80.10/52.37 tff(26483,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_f, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14367, 14361])).
% 80.10/52.37 tff(26484,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_f, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14836, 26483])).
% 80.10/52.37 tff(26485,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_d, s8)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14851, 14845])).
% 80.10/52.37 tff(26486,plain,
% 80.10/52.37 (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14877, 26485, 14361])).
% 80.10/52.37 tff(26487,plain,
% 80.10/52.37 (~m_c_h_element_v_in1(c_e_h_1, c_f, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14885, 26486])).
% 80.10/52.37 tff(26488,plain,
% 80.10/52.37 (~m_c_h_element_v_out(c_e_h_1, c_f, s10)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[14963, 26487, 26484])).
% 80.10/52.37 tff(26489,plain,
% 80.10/52.37 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[19998, 26484])).
% 80.10/52.37 tff(26490,plain,
% 80.10/52.37 (~node20(c_e_h_1, c_q, s9)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[20003, 26489])).
% 80.10/52.37 tff(26491,plain,
% 80.10/52.37 (~m_or_h_gate_v_out(c_e_h_2, c_j, s11)),
% 80.10/52.37 inference(unit_resolution,[status(thm)],[20016, 26490])).
% 80.10/52.38 tff(26492,plain,
% 80.10/52.38 ((~m_and_h_gate_v_out(c_e_h_1, c_q, s10)) | node20(c_e_h_1, c_q, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[18947, 19310])).
% 80.10/52.38 tff(26493,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_q, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26492, 26490])).
% 80.10/52.38 tff(26494,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20063, 26488])).
% 80.10/52.38 tff(26495,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_q, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20056, 26494])).
% 80.10/52.38 tff(26496,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20048, 26495, 26493])).
% 80.10/52.38 tff(26497,plain,
% 80.10/52.38 (~m_cell_v_ack(c_e_h_2, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20075, 26496])).
% 80.10/52.38 tff(26498,plain,
% 80.10/52.38 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20079, 1820, 26497])).
% 80.10/52.38 tff(26499,plain,
% 80.10/52.38 (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20256, 26498, 26491])).
% 80.10/52.38 tff(26500,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s8)), introduced(assumption)).
% 80.10/52.38 tff(26501,plain,
% 80.10/52.38 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26502,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26503,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 80.10/52.38 tff(26504,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26503, 2501, 14361, 26500])).
% 80.10/52.38 tff(26505,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26506,plain,
% 80.10/52.38 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26505, 14361])).
% 80.10/52.38 tff(26507,assumption,(m_or_h_gate_v_in2(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.38 tff(26508,plain,
% 80.10/52.38 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26509,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26510,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26509, 26508])).
% 80.10/52.38 tff(26511,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26510, 2501, 14879, 26507])).
% 80.10/52.38 tff(26512,plain,((~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26513,plain,
% 80.10/52.38 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26512, 26486])).
% 80.10/52.38 tff(26514,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15316, 15281])).
% 80.10/52.38 tff(26515,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15762, 26514])).
% 80.10/52.38 tff(26516,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15770, 26515])).
% 80.10/52.38 tff(26517,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15793, 26516, 12656])).
% 80.10/52.38 tff(26518,plain,
% 80.10/52.38 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15801, 26517])).
% 80.10/52.38 tff(26519,plain,
% 80.10/52.38 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15862, 26518, 15951, 26450, 26453])).
% 80.10/52.38 tff(26520,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15967, 15281])).
% 80.10/52.38 tff(26521,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15975, 26520])).
% 80.10/52.38 tff(26522,plain,
% 80.10/52.38 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26376, 26517, 26450, 26521, 15951])).
% 80.10/52.38 tff(26523,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s8)), introduced(assumption)).
% 80.10/52.38 tff(26524,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15511, 26514])).
% 80.10/52.38 tff(26525,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s3)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15473, 26524])).
% 80.10/52.38 tff(26526,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s3)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15560, 26525])).
% 80.10/52.38 tff(26527,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s3)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15568, 26526])).
% 80.10/52.38 tff(26528,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s2)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7429, 26525])).
% 80.10/52.38 tff(26529,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s2)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7237, 26528])).
% 80.10/52.38 tff(26530,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s2)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7229, 26529])).
% 80.10/52.38 tff(26531,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_c, s3)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7221, 26530])).
% 80.10/52.38 tff(26532,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15586, 26531, 26527])).
% 80.10/52.38 tff(26533,plain,
% 80.10/52.38 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s9))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26534,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s9))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26535,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s9)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26534, 26533])).
% 80.10/52.38 tff(26536,plain,
% 80.10/52.38 (node2(c_e_h_1, c_e_h_2, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26535, 2823, 7161])).
% 80.10/52.38 tff(26537,plain,
% 80.10/52.38 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s9)) | m_cell_v_ack(c_e_h_2, s9) | m_and_h_gate_v_in2(c_e_h_1, c_c, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s9)) | m_cell_v_ack(c_e_h_2, s9) | m_and_h_gate_v_in2(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26538,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s9)) | m_cell_v_ack(c_e_h_2, s9) | m_and_h_gate_v_in2(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26539,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s9)) | m_cell_v_ack(c_e_h_2, s9) | m_and_h_gate_v_in2(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26538, 26537])).
% 80.10/52.38 tff(26540,plain,
% 80.10/52.38 (m_cell_v_ack(c_e_h_2, s9) | m_and_h_gate_v_in2(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26539, 7175, 26536])).
% 80.10/52.38 tff(26541,plain,
% 80.10/52.38 (m_and_h_gate_v_in2(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26540, 19319])).
% 80.10/52.38 tff(26542,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s9)), introduced(assumption)).
% 80.10/52.38 tff(26543,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26544,plain,
% 80.10/52.38 ((m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26545,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10))))),
% 80.10/52.38 inference(monotonicity,[status(thm)],[26544])).
% 80.10/52.38 tff(26546,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(transitivity,[status(thm)],[26545, 26543])).
% 80.10/52.38 tff(26547,plain,
% 80.10/52.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26548,plain,
% 80.10/52.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node22(c_e_h_1, c_c, s9, s10))),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26547, 26546])).
% 80.10/52.38 tff(26549,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26548, 6905, 17900, 17881, 17785])).
% 80.10/52.38 tff(26550,plain,((~node22(c_e_h_1, c_c, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26551,plain,
% 80.10/52.38 (~node22(c_e_h_1, c_c, s9, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26550, 17900, 17785])).
% 80.10/52.38 tff(26552,assumption,(node21(c_e_h_1, c_c, s9, s10)), introduced(assumption)).
% 80.10/52.38 tff(26553,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26554,plain,
% 80.10/52.38 (((~node21(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26555,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10))))),
% 80.10/52.38 inference(monotonicity,[status(thm)],[26554])).
% 80.10/52.38 tff(26556,plain,
% 80.10/52.38 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10)))),
% 80.10/52.38 inference(transitivity,[status(thm)],[26555, 26553])).
% 80.10/52.38 tff(26557,plain,
% 80.10/52.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26558,plain,
% 80.10/52.38 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~node21(c_e_h_1, c_c, s9, s10))),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26557, 26556])).
% 80.10/52.38 tff(26559,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26558, 7190, 26542, 17900, 26552, 17864])).
% 80.10/52.38 tff(26560,plain,((~node21(c_e_h_1, c_c, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26561,plain,
% 80.10/52.38 (~node21(c_e_h_1, c_c, s9, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26560, 17900, 26542, 17864])).
% 80.10/52.38 tff(26562,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17891, 26561, 26551])).
% 80.10/52.38 tff(26563,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26564,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26563, 17785, 26542, 17900])).
% 80.10/52.38 tff(26565,plain,
% 80.10/52.38 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26566,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26567,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26566, 26565])).
% 80.10/52.38 tff(26568,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26567, 7440, 16213, 17872])).
% 80.10/52.38 tff(26569,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26570,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26569, 26564])).
% 80.10/52.38 tff(26571,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16210, 16079])).
% 80.10/52.38 tff(26572,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17791, 26571])).
% 80.10/52.38 tff(26573,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17799, 26572])).
% 80.10/52.38 tff(26574,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17721, 16182])).
% 80.10/52.38 tff(26575,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s7)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17828, 26574])).
% 80.10/52.38 tff(26576,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17756, 26575, 17727])).
% 80.10/52.38 tff(26577,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17822, 26576, 26573, 17785])).
% 80.10/52.38 tff(26578,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26579,plain,
% 80.10/52.38 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26578, 26570, 17785])).
% 80.10/52.38 tff(26580,plain,
% 80.10/52.38 (m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16007, 26579, 15983])).
% 80.10/52.38 tff(26581,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16181, 26570])).
% 80.10/52.38 tff(26582,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15380, 26581])).
% 80.10/52.38 tff(26583,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15316, 26582])).
% 80.10/52.38 tff(26584,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15762, 26583])).
% 80.10/52.38 tff(26585,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15770, 26584])).
% 80.10/52.38 tff(26586,plain,
% 80.10/52.38 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15793, 26585, 26580])).
% 80.10/52.38 tff(26587,plain,
% 80.10/52.38 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15511, 26583])).
% 80.10/52.38 tff(26588,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15630, 26587])).
% 80.10/52.38 tff(26589,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15638, 26588])).
% 80.10/52.38 tff(26590,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15663, 26589, 26586, 6894])).
% 80.10/52.38 tff(26591,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26592,plain,
% 80.10/52.38 ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26591, 26541])).
% 80.10/52.38 tff(26593,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26592, 26532, 26521, 17900])).
% 80.10/52.38 tff(26594,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.38 tff(26595,plain,
% 80.10/52.38 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26596,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26597,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 80.10/52.38 tff(26598,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26597, 2486, 17839, 26594])).
% 80.10/52.38 tff(26599,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26600,plain,
% 80.10/52.38 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26599, 26593])).
% 80.10/52.38 tff(26601,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.38 tff(26602,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16075, 26517, 26474, 26521, 26450, 15951, 26453])).
% 80.10/52.38 tff(26603,plain,
% 80.10/52.38 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26604,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26605,plain,
% 80.10/52.38 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 80.10/52.38 tff(26606,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26605, 9234, 12654])).
% 80.10/52.38 tff(26607,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_r, s14)), introduced(assumption)).
% 80.10/52.38 tff(26608,plain,
% 80.10/52.38 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s14))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26609,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s14))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26610,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_r, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_r, s14)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 80.10/52.38 tff(26611,plain,
% 80.10/52.38 ($false),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26610, 22, 18677, 26607])).
% 80.10/52.38 tff(26612,plain,(m_and_h_gate_v_in1(c_e_h_1, c_r, s14) | (~node20(c_e_h_1, c_r, s14))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.38 tff(26613,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_r, s14)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26612, 26606])).
% 80.10/52.38 tff(26614,plain,
% 80.10/52.38 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[9202, 26456])).
% 80.10/52.38 tff(26615,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_r, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[9210, 26614])).
% 80.10/52.38 tff(26616,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[9482, 26615])).
% 80.10/52.38 tff(26617,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7850, 26519])).
% 80.10/52.38 tff(26618,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_i, s8)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7858, 26617])).
% 80.10/52.38 tff(26619,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7881, 26618, 26474])).
% 80.10/52.38 tff(26620,plain,
% 80.10/52.38 (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7889, 26619])).
% 80.10/52.38 tff(26621,plain,
% 80.10/52.38 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[7949, 26620, 26482])).
% 80.10/52.38 tff(26622,plain,
% 80.10/52.38 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[17952, 26621, 26480])).
% 80.10/52.38 tff(26623,plain,
% 80.10/52.38 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16463, 26464])).
% 80.10/52.38 tff(26624,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[18644, 26621, 26479, 26623, 26622, 26616, 26476])).
% 80.10/52.38 tff(26625,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[18674, 26624, 26613])).
% 80.10/52.38 tff(26626,plain,
% 80.10/52.38 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[18720, 26625])).
% 80.10/52.38 tff(26627,plain,
% 80.10/52.38 (~node24(s15)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[18724, 9500, 26626])).
% 80.10/52.38 tff(26628,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15630, 26524])).
% 80.10/52.38 tff(26629,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_c, s4)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[15638, 26628])).
% 80.10/52.38 tff(26630,plain,
% 80.10/52.38 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[16371, 26482])).
% 80.10/52.38 tff(26631,plain,
% 80.10/52.38 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20063, 15878])).
% 80.10/52.38 tff(26632,plain,
% 80.10/52.38 (~node20(c_e_h_1, c_q, s10)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20056, 26631])).
% 80.10/52.38 tff(26633,plain,
% 80.10/52.38 (~m_and_h_gate_v_out(c_e_h_1, c_q, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20048, 26632, 20035])).
% 80.10/52.38 tff(26634,plain,
% 80.10/52.38 (~m_cell_v_ack(c_e_h_2, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[20075, 26633])).
% 80.10/52.38 tff(26635,plain,
% 80.10/52.38 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s11))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26636,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s11))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26637,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s11)),
% 80.10/52.38 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 80.10/52.38 tff(26638,plain,
% 80.10/52.38 (node2(c_e_h_1, c_e_h_2, s11)),
% 80.10/52.38 inference(unit_resolution,[status(thm)],[26637, 2823, 7161])).
% 80.10/52.38 tff(26639,plain,
% 80.10/52.38 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s11)) | m_cell_v_ack(c_e_h_2, s11) | m_and_h_gate_v_in2(c_e_h_1, c_c, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s11)) | m_cell_v_ack(c_e_h_2, s11) | m_and_h_gate_v_in2(c_e_h_1, c_c, s11))),
% 80.10/52.38 inference(rewrite,[status(thm)],[])).
% 80.10/52.38 tff(26640,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s11)) | m_cell_v_ack(c_e_h_2, s11) | m_and_h_gate_v_in2(c_e_h_1, c_c, s11))),
% 80.10/52.38 inference(quant_inst,[status(thm)],[])).
% 80.10/52.38 tff(26641,plain,
% 80.10/52.38 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s11)) | m_cell_v_ack(c_e_h_2, s11) | m_and_h_gate_v_in2(c_e_h_1, c_c, s11)),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26640, 26639])).
% 80.10/52.39 tff(26642,plain,
% 80.10/52.39 (m_cell_v_ack(c_e_h_2, s11) | m_and_h_gate_v_in2(c_e_h_1, c_c, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26641, 7175, 26638])).
% 80.10/52.39 tff(26643,plain,
% 80.10/52.39 (m_and_h_gate_v_in2(c_e_h_1, c_c, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26642, 26634])).
% 80.10/52.39 tff(26644,plain,
% 80.10/52.39 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18512, 20747])).
% 80.10/52.39 tff(26645,plain,
% 80.10/52.39 (~node20(c_e_h_1, c_r, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18519, 26644])).
% 80.10/52.39 tff(26646,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[9482, 26645])).
% 80.10/52.39 tff(26647,plain,
% 80.10/52.39 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[9490, 26646])).
% 80.10/52.39 tff(26648,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s8)), introduced(assumption)).
% 80.10/52.39 tff(26649,plain,
% 80.10/52.39 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26650,plain,
% 80.10/52.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8))),
% 80.10/52.39 inference(quant_inst,[status(thm)],[])).
% 80.10/52.39 tff(26651,plain,
% 80.10/52.39 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 80.10/52.39 tff(26652,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26651, 2486, 17802, 26648])).
% 80.10/52.39 tff(26653,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26654,plain,
% 80.10/52.39 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26653, 20753])).
% 80.10/52.39 tff(26655,plain,
% 80.10/52.39 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15677, 20724])).
% 80.10/52.39 tff(26656,plain,
% 80.10/52.39 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6891, 20722])).
% 80.10/52.39 tff(26657,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6883, 26656])).
% 80.10/52.39 tff(26658,plain,
% 80.10/52.39 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15590, 2486, 20723])).
% 80.10/52.39 tff(26659,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15553, 26658, 26657])).
% 80.10/52.39 tff(26660,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26376, 26659, 17780, 20732, 26655])).
% 80.10/52.39 tff(26661,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)), introduced(assumption)).
% 80.10/52.39 tff(26662,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.39 tff(26663,assumption,(node5(c_e_h_1, c_g, s8, s9)), introduced(assumption)).
% 80.10/52.39 tff(26664,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26665,plain,
% 80.10/52.39 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | (~node5(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26666,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | (~node5(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8)))),
% 80.10/52.39 inference(monotonicity,[status(thm)],[26665])).
% 80.10/52.39 tff(26667,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | (~node5(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8))),
% 80.10/52.39 inference(transitivity,[status(thm)],[26666, 26664])).
% 80.10/52.39 tff(26668,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | (~node5(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))),
% 80.10/52.39 inference(quant_inst,[status(thm)],[])).
% 80.10/52.39 tff(26669,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node5(c_e_h_1, c_g, s8, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26668, 26667])).
% 80.10/52.39 tff(26670,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26669, 1888, 26663, 26662, 26523, 26661])).
% 80.10/52.39 tff(26671,plain,((~node5(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26672,plain,
% 80.10/52.39 (~node5(c_e_h_1, c_g, s8, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26671, 26662, 26523, 26661])).
% 80.10/52.39 tff(26673,assumption,(node6(c_e_h_1, c_g, s8, s9)), introduced(assumption)).
% 80.10/52.39 tff(26674,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9)))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26675,plain,
% 80.10/52.39 (((~node6(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9)))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26676,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9))))),
% 80.10/52.39 inference(monotonicity,[status(thm)],[26675])).
% 80.10/52.39 tff(26677,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9)))),
% 80.10/52.39 inference(transitivity,[status(thm)],[26676, 26674])).
% 80.10/52.39 tff(26678,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8))),
% 80.10/52.39 inference(quant_inst,[status(thm)],[])).
% 80.10/52.39 tff(26679,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | (~node6(c_e_h_1, c_g, s8, s9))),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26678, 26677])).
% 80.10/52.39 tff(26680,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26679, 1851, 26673, 26662, 16060])).
% 80.10/52.39 tff(26681,plain,((~node6(c_e_h_1, c_g, s8, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26682,plain,
% 80.10/52.39 (~node6(c_e_h_1, c_g, s8, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26681, 26662, 16060])).
% 80.10/52.39 tff(26683,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26684,plain,
% 80.10/52.39 ((node6(c_e_h_1, c_g, s8, s9) | node5(c_e_h_1, c_g, s8, s9) | (~trans(s8, s9))) <=> ((~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26685,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s8, s9) | node5(c_e_h_1, c_g, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9)))),
% 80.10/52.39 inference(monotonicity,[status(thm)],[26684])).
% 80.10/52.39 tff(26686,plain,
% 80.10/52.39 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s8, s9) | node5(c_e_h_1, c_g, s8, s9) | (~trans(s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9))),
% 80.10/52.39 inference(transitivity,[status(thm)],[26685, 26683])).
% 80.10/52.39 tff(26687,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s8, s9) | node5(c_e_h_1, c_g, s8, s9) | (~trans(s8, s9)))),
% 80.10/52.39 inference(quant_inst,[status(thm)],[])).
% 80.10/52.39 tff(26688,plain,
% 80.10/52.39 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s8, s9)) | node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9)),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26687, 26686])).
% 80.10/52.39 tff(26689,plain,
% 80.10/52.39 (node5(c_e_h_1, c_g, s8, s9) | node6(c_e_h_1, c_g, s8, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26688, 1870, 3713])).
% 80.10/52.39 tff(26690,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26689, 26682, 26672])).
% 80.10/52.39 tff(26691,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26692,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26691, 26660, 26523, 26654])).
% 80.10/52.39 tff(26693,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7453, 26657])).
% 80.10/52.39 tff(26694,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7465, 26693])).
% 80.10/52.39 tff(26695,plain,
% 80.10/52.39 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7711, 8, 6345])).
% 80.10/52.39 tff(26696,plain,
% 80.10/52.39 (~node20(c_e_h_1, c_i, s7)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7719, 26695])).
% 80.10/52.39 tff(26697,plain,
% 80.10/52.39 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6616, 8, 26694])).
% 80.10/52.39 tff(26698,plain,
% 80.10/52.39 (~node20(c_e_h_1, c_i, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6592, 22, 26697])).
% 80.10/52.39 tff(26699,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7492, 26698])).
% 80.10/52.39 tff(26700,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15552, 7448, 15540, 15541])).
% 80.10/52.39 tff(26701,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15598, 26700])).
% 80.10/52.39 tff(26702,plain,
% 80.10/52.39 (m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15613, 26701, 6194])).
% 80.10/52.39 tff(26703,plain,
% 80.10/52.39 (node14(c_e_h_1, c_h, s4, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7462, 26702])).
% 80.10/52.39 tff(26704,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6168, 26703, 26702, 18199])).
% 80.10/52.39 tff(26705,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4) | m_or_h_gate_v_in2(c_e_h_1, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26706,plain,
% 80.10/52.39 (m_or_h_gate_v_out(c_e_h_1, c_g, s4) | (~m_c_h_element_v_out(c_e_h_1, c_h, s6)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26705, 15530])).
% 80.10/52.39 tff(26707,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26706, 26658, 26657])).
% 80.10/52.39 tff(26708,plain,
% 80.10/52.39 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7596, 8, 26707])).
% 80.10/52.39 tff(26709,plain,
% 80.10/52.39 (~node20(c_e_h_1, c_i, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7604, 26708])).
% 80.10/52.39 tff(26710,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7624, 26709, 26699])).
% 80.10/52.39 tff(26711,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[7742, 26710, 26696])).
% 80.10/52.39 tff(26712,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[16075, 26711, 20732, 17780, 26659, 26655, 26694])).
% 80.10/52.39 tff(26713,plain,
% 80.10/52.39 (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15949, 26712])).
% 80.10/52.39 tff(26714,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15941, 26713, 15878])).
% 80.10/52.39 tff(26715,plain,
% 80.10/52.39 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15801, 20732])).
% 80.10/52.39 tff(26716,plain,
% 80.10/52.39 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15720, 15688])).
% 80.10/52.39 tff(26717,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26716, 26659, 26655])).
% 80.10/52.39 tff(26718,plain,
% 80.10/52.39 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15816, 13178])).
% 80.10/52.39 tff(26719,plain,
% 80.10/52.39 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6) | m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15850, 26718])).
% 80.10/52.39 tff(26720,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26719, 26717, 26715])).
% 80.10/52.39 tff(26721,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15862, 26659, 26694, 26655, 26715])).
% 80.10/52.39 tff(26722,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[16065, 16060])).
% 80.10/52.39 tff(26723,plain,
% 80.10/52.39 (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26691, 16060, 26661, 26523])).
% 80.10/52.39 tff(26724,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.39 tff(26725,plain,
% 80.10/52.39 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26726,plain,
% 80.10/52.39 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))),
% 80.10/52.39 inference(quant_inst,[status(thm)],[])).
% 80.10/52.39 tff(26727,plain,
% 80.10/52.39 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.10/52.39 inference(modus_ponens,[status(thm)],[26726, 26725])).
% 80.10/52.39 tff(26728,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_h, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26727, 4673, 26724])).
% 80.10/52.39 tff(26729,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6489, 6435, 6423])).
% 80.10/52.39 tff(26730,plain,
% 80.10/52.39 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6587, 6503, 6504])).
% 80.10/52.39 tff(26731,plain,
% 80.10/52.39 (~node18(c_e_h_1, c_h, s9, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6517, 6503, 6504])).
% 80.10/52.39 tff(26732,plain,
% 80.10/52.39 (node17(c_e_h_1, c_h, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6529, 26731])).
% 80.10/52.39 tff(26733,plain,
% 80.10/52.39 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s9)) | (~node17(c_e_h_1, c_h, s9))),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[6554, 1172, 6575])).
% 80.10/52.39 tff(26734,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26733, 26732, 26730])).
% 80.10/52.39 tff(26735,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26736,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26735, 26729, 26728, 6503])).
% 80.10/52.39 tff(26737,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_or_h_gate_v_out(c_e_h_1, c_g, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26738,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26737, 26723, 26722, 6423, 6503])).
% 80.10/52.39 tff(26739,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26740,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26739, 26660, 26523, 26654, 26721])).
% 80.10/52.39 tff(26741,plain,
% 80.10/52.39 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[8078, 8, 26740])).
% 80.10/52.39 tff(26742,plain,
% 80.10/52.39 (~node20(c_e_h_1, c_i, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[8398, 22, 26741])).
% 80.10/52.39 tff(26743,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[8394, 26742, 26712])).
% 80.10/52.39 tff(26744,plain,
% 80.10/52.39 (~m_c_h_element_v_in2(c_e_h_2, c_h, s12)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[20592, 20557])).
% 80.10/52.39 tff(26745,plain,
% 80.10/52.39 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18059, 20744, 20726, 20725])).
% 80.10/52.39 tff(26746,plain,
% 80.10/52.39 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18013, 20732, 20726, 17541])).
% 80.10/52.39 tff(26747,plain,
% 80.10/52.39 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17503, 26746])).
% 80.10/52.39 tff(26748,plain,
% 80.10/52.39 (~node9(c_e_h_1, c_m, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17511, 26747])).
% 80.10/52.39 tff(26749,plain,
% 80.10/52.39 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17537, 26748, 26745])).
% 80.10/52.39 tff(26750,plain,
% 80.10/52.39 (m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26578, 17679, 17785])).
% 80.10/52.39 tff(26751,plain,
% 80.10/52.39 (m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[16007, 26750, 15983])).
% 80.10/52.39 tff(26752,plain,
% 80.10/52.39 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15793, 17782, 26751])).
% 80.10/52.39 tff(26753,plain,
% 80.10/52.39 ($false),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[15663, 18184, 26752, 6894])).
% 80.10/52.39 tff(26754,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.39 tff(26755,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[26754, 20723, 17541, 17780])).
% 80.10/52.39 tff(26756,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17845, 26755])).
% 80.10/52.39 tff(26757,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17862, 20747, 26756])).
% 80.10/52.39 tff(26758,plain,
% 80.10/52.39 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18246, 26757])).
% 80.10/52.39 tff(26759,plain,
% 80.10/52.39 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[16463, 26745])).
% 80.10/52.39 tff(26760,plain,
% 80.10/52.39 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18271, 26759, 26758, 26746])).
% 80.10/52.39 tff(26761,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17897, 26755, 17878])).
% 80.10/52.39 tff(26762,plain,
% 80.10/52.39 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17905, 26761])).
% 80.10/52.39 tff(26763,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17952, 26757, 26762])).
% 80.10/52.39 tff(26764,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18644, 26759, 26757, 26749, 26763, 26646, 26746])).
% 80.10/52.39 tff(26765,plain,
% 80.10/52.39 (xuntil28(s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17446, 26645])).
% 80.10/52.39 tff(26766,plain,
% 80.10/52.39 (until27(s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[17451, 26765])).
% 80.10/52.39 tff(26767,plain,
% 80.10/52.39 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[20715, 20729, 18468, 20595])).
% 80.10/52.39 tff(26768,plain,
% 80.10/52.39 (~m_cell_v_ack(c_e_h_2, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18981, 20035])).
% 80.10/52.39 tff(26769,plain,
% 80.10/52.39 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[18985, 1820, 26768])).
% 80.10/52.39 tff(26770,plain,
% 80.10/52.39 (~m_c_h_element_v_out(c_e_h_2, c_h, s12)),
% 80.10/52.39 inference(unit_resolution,[status(thm)],[19991, 26769])).
% 80.10/52.39 tff(26771,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s11)), introduced(assumption)).
% 80.10/52.39 tff(26772,plain,
% 80.10/52.39 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 80.10/52.39 inference(rewrite,[status(thm)],[])).
% 80.10/52.39 tff(26773,plain,
% 80.10/52.39 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26774,plain,
% 80.10/52.40 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26773, 26772])).
% 80.10/52.40 tff(26775,plain,
% 80.10/52.40 ($false),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26774, 527, 26771, 8184])).
% 80.10/52.40 tff(26776,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.40 tff(26777,plain,
% 80.10/52.40 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26776, 26743])).
% 80.10/52.40 tff(26778,assumption,(m_and_h_gate_v_out(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.10/52.40 tff(26779,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s11)), introduced(assumption)).
% 80.10/52.40 tff(26780,plain,
% 80.10/52.40 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[15941, 15878, 15889])).
% 80.10/52.40 tff(26781,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.10/52.40 tff(26782,assumption,(node15(c_e_h_1, c_f, s11, s12)), introduced(assumption)).
% 80.10/52.40 tff(26783,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26784,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26785,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 80.10/52.40 tff(26786,plain,
% 80.10/52.40 ($false),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26785, 612, 26781, 17539, 26782])).
% 80.10/52.40 tff(26787,plain,((~node15(c_e_h_1, c_f, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.40 tff(26788,plain,
% 80.10/52.40 (~node15(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26787, 26781, 17539])).
% 80.10/52.40 tff(26789,assumption,(node18(c_e_h_1, c_f, s11, s12)), introduced(assumption)).
% 80.10/52.40 tff(26790,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26791,plain,
% 80.10/52.40 (((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~node18(c_e_h_1, c_f, s11, s12))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26792,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~node18(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12))))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26791])).
% 80.10/52.40 tff(26793,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~node18(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(transitivity,[status(thm)],[26792, 26790])).
% 80.10/52.40 tff(26794,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~node18(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26795,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26794, 26793])).
% 80.10/52.40 tff(26796,plain,
% 80.10/52.40 ($false),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26795, 481, 26781, 17539, 26789])).
% 80.10/52.40 tff(26797,plain,((~node18(c_e_h_1, c_f, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.40 tff(26798,plain,
% 80.10/52.40 (~node18(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26797, 26781, 17539])).
% 80.10/52.40 tff(26799,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_f, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26800,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26801,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26800, 26799])).
% 80.10/52.40 tff(26802,plain,
% 80.10/52.40 (node19(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26801, 494, 8210])).
% 80.10/52.40 tff(26803,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26804,plain,
% 80.10/52.40 ((node17(c_e_h_1, c_f, s11) | node18(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12))) <=> (node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26805,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s11) | node18(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12))))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26804])).
% 80.10/52.40 tff(26806,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s11) | node18(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(transitivity,[status(thm)],[26805, 26803])).
% 80.10/52.40 tff(26807,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s11) | node18(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26808,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11) | (~node19(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26807, 26806])).
% 80.10/52.40 tff(26809,plain,
% 80.10/52.40 (node18(c_e_h_1, c_f, s11, s12) | node17(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26808, 508, 26802])).
% 80.10/52.40 tff(26810,plain,
% 80.10/52.40 (node17(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26809, 26798])).
% 80.10/52.40 tff(26811,plain,
% 80.10/52.40 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26812,plain,
% 80.10/52.40 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11))) <=> ((~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26813,plain,
% 80.10/52.40 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11)))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26812])).
% 80.10/52.40 tff(26814,plain,
% 80.10/52.40 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(transitivity,[status(thm)],[26813, 26811])).
% 80.10/52.40 tff(26815,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26816,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26815, 26814])).
% 80.10/52.40 tff(26817,plain,
% 80.10/52.40 ((~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26816, 541, 26779])).
% 80.10/52.40 tff(26818,plain,
% 80.10/52.40 (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26817, 26810])).
% 80.10/52.40 tff(26819,plain,
% 80.10/52.40 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26820,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26821,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26820, 26819])).
% 80.10/52.40 tff(26822,plain,
% 80.10/52.40 ((~node16(c_e_h_1, c_f, s11)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26821, 559, 26779])).
% 80.10/52.40 tff(26823,plain,
% 80.10/52.40 (~node16(c_e_h_1, c_f, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26822, 26818])).
% 80.10/52.40 tff(26824,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s11)), introduced(assumption)).
% 80.10/52.40 tff(26825,assumption,(node14(c_e_h_1, c_f, s11, s12)), introduced(assumption)).
% 80.10/52.40 tff(26826,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26827,plain,
% 80.10/52.40 (((~node14(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26828,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12))))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26827])).
% 80.10/52.40 tff(26829,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(transitivity,[status(thm)],[26828, 26826])).
% 80.10/52.40 tff(26830,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26831,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node14(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 80.10/52.40 tff(26832,plain,
% 80.10/52.40 ($false),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26831, 575, 26781, 26825, 26824])).
% 80.10/52.40 tff(26833,plain,((~node14(c_e_h_1, c_f, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.40 tff(26834,plain,
% 80.10/52.40 (~node14(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26833, 26818, 26781])).
% 80.10/52.40 tff(26835,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26836,plain,
% 80.10/52.40 ((node16(c_e_h_1, c_f, s11) | node14(c_e_h_1, c_f, s11, s12) | node15(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12))) <=> ((~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26837,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s11) | node14(c_e_h_1, c_f, s11, s12) | node15(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26836])).
% 80.10/52.40 tff(26838,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s11) | node14(c_e_h_1, c_f, s11, s12) | node15(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12))),
% 80.10/52.40 inference(transitivity,[status(thm)],[26837, 26835])).
% 80.10/52.40 tff(26839,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s11) | node14(c_e_h_1, c_f, s11, s12) | node15(c_e_h_1, c_f, s11, s12) | (~node19(c_e_h_1, c_f, s11, s12)))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26840,plain,
% 80.10/52.40 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s11, s12)) | node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 80.10/52.40 tff(26841,plain,
% 80.10/52.40 (node14(c_e_h_1, c_f, s11, s12) | node16(c_e_h_1, c_f, s11) | node15(c_e_h_1, c_f, s11, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26840, 594, 26802])).
% 80.10/52.40 tff(26842,plain,
% 80.10/52.40 ($false),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26841, 26834, 26823, 26788])).
% 80.10/52.40 tff(26843,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | m_c_h_element_v_out(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.40 tff(26844,plain,
% 80.10/52.40 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26843, 26780, 26779])).
% 80.10/52.40 tff(26845,plain,
% 80.10/52.40 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26846,plain,
% 80.10/52.40 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26847,plain,
% 80.10/52.40 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 80.10/52.40 tff(26848,plain,
% 80.10/52.40 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26847, 397, 26844])).
% 80.10/52.40 tff(26849,plain,
% 80.10/52.40 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s12))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26850,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s12))),
% 80.10/52.40 inference(quant_inst,[status(thm)],[])).
% 80.10/52.40 tff(26851,plain,
% 80.10/52.40 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.10/52.40 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 80.10/52.40 tff(26852,plain,
% 80.10/52.40 (~node20(c_e_h_1, c_q, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[26851, 22, 26848])).
% 80.10/52.40 tff(26853,plain,
% 80.10/52.40 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[20262, 397, 26780])).
% 80.10/52.40 tff(26854,plain,
% 80.10/52.40 (~node20(c_e_h_1, c_q, s11)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[20266, 22, 26853])).
% 80.10/52.40 tff(26855,plain,
% 80.10/52.40 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.10/52.40 inference(unit_resolution,[status(thm)],[20290, 26854, 26633])).
% 80.10/52.40 tff(26856,assumption,(~node20(c_e_h_1, c_q, s12)), introduced(assumption)).
% 80.10/52.40 tff(26857,assumption,(node21(c_e_h_1, c_q, s12, s13)), introduced(assumption)).
% 80.10/52.40 tff(26858,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26859,plain,
% 80.10/52.40 ((node20(c_e_h_1, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node21(c_e_h_1, c_q, s12, s13))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13)))),
% 80.10/52.40 inference(rewrite,[status(thm)],[])).
% 80.10/52.40 tff(26860,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node21(c_e_h_1, c_q, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13))))),
% 80.10/52.40 inference(monotonicity,[status(thm)],[26859])).
% 80.10/52.40 tff(26861,plain,
% 80.10/52.40 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node21(c_e_h_1, c_q, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13)))),
% 80.10/52.41 inference(transitivity,[status(thm)],[26860, 26858])).
% 80.10/52.41 tff(26862,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node21(c_e_h_1, c_q, s12, s13)))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26863,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12) | (~node21(c_e_h_1, c_q, s12, s13))),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 80.10/52.41 tff(26864,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26863, 348, 26778, 26857, 26856])).
% 80.10/52.41 tff(26865,plain,((~node21(c_e_h_1, c_q, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | node20(c_e_h_1, c_q, s12)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26866,plain,
% 80.10/52.41 (~node21(c_e_h_1, c_q, s12, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26865, 26778, 26856])).
% 80.10/52.41 tff(26867,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s12)), introduced(assumption)).
% 80.10/52.41 tff(26868,assumption,(node22(c_e_h_1, c_q, s12, s13)), introduced(assumption)).
% 80.10/52.41 tff(26869,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node22(c_e_h_1, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node22(c_e_h_1, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26870,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node22(c_e_h_1, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26871,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | (~node22(c_e_h_1, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26870, 26869])).
% 80.10/52.41 tff(26872,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26871, 437, 26867, 26778, 26868])).
% 80.10/52.41 tff(26873,plain,((~node22(c_e_h_1, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26874,plain,
% 80.10/52.41 (~node22(c_e_h_1, c_q, s12, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26873, 26778, 26867])).
% 80.10/52.41 tff(26875,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_q, s12, s13) | node22(c_e_h_1, c_q, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_q, s12, s13) | node22(c_e_h_1, c_q, s12, s13))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26876,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_1, c_q, s12, s13) | node22(c_e_h_1, c_q, s12, s13))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26877,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_1, c_q, s12, s13) | node22(c_e_h_1, c_q, s12, s13)),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26876, 26875])).
% 80.10/52.41 tff(26878,plain,
% 80.10/52.41 (node21(c_e_h_1, c_q, s12, s13) | node22(c_e_h_1, c_q, s12, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26877, 383, 8278])).
% 80.10/52.41 tff(26879,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26878, 26874, 26866])).
% 80.10/52.41 tff(26880,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12) | node20(c_e_h_1, c_q, s12)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26881,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26880, 26855, 26852, 26778])).
% 80.10/52.41 tff(26882,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s11) | m_c_h_element_v_in2(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26883,plain,
% 80.10/52.41 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26882, 26777, 15878, 20035, 26713])).
% 80.10/52.41 tff(26884,plain,
% 80.10/52.41 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s7)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[16055, 14289])).
% 80.10/52.41 tff(26885,plain,
% 80.10/52.41 (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[7998, 7993])).
% 80.10/52.41 tff(26886,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8073, 8001, 26885])).
% 80.10/52.41 tff(26887,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[12652, 26886])).
% 80.10/52.41 tff(26888,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18313, 18373, 18273, 26887])).
% 80.10/52.41 tff(26889,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18387, 3886, 26888])).
% 80.10/52.41 tff(26890,plain,
% 80.10/52.41 (~node9(c_e_h_1, c_m, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18391, 238, 26889])).
% 80.10/52.41 tff(26891,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18399, 18281, 18282])).
% 80.10/52.41 tff(26892,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18422, 26891, 26890])).
% 80.10/52.41 tff(26893,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[20765, 26892])).
% 80.10/52.41 tff(26894,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8258, 8081, 8193])).
% 80.10/52.41 tff(26895,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18364, 12653, 18282, 18273, 18283])).
% 80.10/52.41 tff(26896,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18463, 26895, 26894])).
% 80.10/52.41 tff(26897,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | m_c_h_element_v_in2(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26898,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26897, 8191, 18282, 18273, 26886])).
% 80.10/52.41 tff(26899,plain,
% 80.10/52.41 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[17756, 20595, 17727])).
% 80.10/52.41 tff(26900,plain,
% 80.10/52.41 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26653, 26899])).
% 80.10/52.41 tff(26901,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s7)), introduced(assumption)).
% 80.10/52.41 tff(26902,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[16011, 2486, 17727, 26901])).
% 80.10/52.41 tff(26903,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26904,plain,
% 80.10/52.41 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26903, 17727])).
% 80.10/52.41 tff(26905,plain,
% 80.10/52.41 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[17822, 26899, 20752])).
% 80.10/52.41 tff(26906,plain,
% 80.10/52.41 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26599, 26905])).
% 80.10/52.41 tff(26907,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.10/52.41 tff(26908,plain,
% 80.10/52.41 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[16042, 15853, 16013, 15986])).
% 80.10/52.41 tff(26909,plain,
% 80.10/52.41 (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26691, 26908, 26523, 26661])).
% 80.10/52.41 tff(26910,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.10/52.41 tff(26911,assumption,(node5(c_e_h_1, c_g, s9, s10)), introduced(assumption)).
% 80.10/52.41 tff(26912,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26913,plain,
% 80.10/52.41 ((m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26914,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10))))),
% 80.10/52.41 inference(monotonicity,[status(thm)],[26913])).
% 80.10/52.41 tff(26915,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))),
% 80.10/52.41 inference(transitivity,[status(thm)],[26914, 26912])).
% 80.10/52.41 tff(26916,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26917,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10))),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 80.10/52.41 tff(26918,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26917, 1888, 26911, 26910, 26907, 26601])).
% 80.10/52.41 tff(26919,plain,((~node5(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26920,plain,
% 80.10/52.41 (~node5(c_e_h_1, c_g, s9, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26919, 26910, 26601, 26907])).
% 80.10/52.41 tff(26921,assumption,(node6(c_e_h_1, c_g, s9, s10)), introduced(assumption)).
% 80.10/52.41 tff(26922,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26923,plain,
% 80.10/52.41 (((~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9)) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26924,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10))))),
% 80.10/52.41 inference(monotonicity,[status(thm)],[26923])).
% 80.10/52.41 tff(26925,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.10/52.41 inference(transitivity,[status(thm)],[26924, 26922])).
% 80.10/52.41 tff(26926,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26927,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | (~node6(c_e_h_1, c_g, s9, s10))),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 80.10/52.41 tff(26928,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26927, 1851, 26921, 26910, 26724])).
% 80.10/52.41 tff(26929,plain,((~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26930,plain,
% 80.10/52.41 (~node6(c_e_h_1, c_g, s9, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26929, 26910, 26724])).
% 80.10/52.41 tff(26931,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26932,plain,
% 80.10/52.41 ((node6(c_e_h_1, c_g, s9, s10) | node5(c_e_h_1, c_g, s9, s10) | (~trans(s9, s10))) <=> ((~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26933,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s9, s10) | node5(c_e_h_1, c_g, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10)))),
% 80.10/52.41 inference(monotonicity,[status(thm)],[26932])).
% 80.10/52.41 tff(26934,plain,
% 80.10/52.41 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s9, s10) | node5(c_e_h_1, c_g, s9, s10) | (~trans(s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10))),
% 80.10/52.41 inference(transitivity,[status(thm)],[26933, 26931])).
% 80.10/52.41 tff(26935,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s9, s10) | node5(c_e_h_1, c_g, s9, s10) | (~trans(s9, s10)))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26936,plain,
% 80.10/52.41 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s9, s10)) | node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10)),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26935, 26934])).
% 80.10/52.41 tff(26937,plain,
% 80.10/52.41 (node5(c_e_h_1, c_g, s9, s10) | node6(c_e_h_1, c_g, s9, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26936, 1870, 6039])).
% 80.10/52.41 tff(26938,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26937, 26930, 26920])).
% 80.10/52.41 tff(26939,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26940,plain,
% 80.10/52.41 (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26939, 26909, 26601, 26907])).
% 80.10/52.41 tff(26941,plain,
% 80.10/52.41 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[16065, 26908])).
% 80.10/52.41 tff(26942,plain,
% 80.10/52.41 (~m_c_h_element_v_in1(c_e_h_1, c_h, s7)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[15858, 15853])).
% 80.10/52.41 tff(26943,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[6405, 26942, 6345])).
% 80.10/52.41 tff(26944,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26737, 26909, 26943, 26941])).
% 80.10/52.41 tff(26945,plain,
% 80.10/52.41 (~node18(c_e_h_1, c_h, s10, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8092, 8075, 8083])).
% 80.10/52.41 tff(26946,plain,
% 80.10/52.41 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8166, 8075, 8083])).
% 80.10/52.41 tff(26947,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s10)), introduced(assumption)).
% 80.10/52.41 tff(26948,plain,
% 80.10/52.41 ((~node17(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s10))),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8139, 1172, 26947])).
% 80.10/52.41 tff(26949,plain,
% 80.10/52.41 (~node17(c_e_h_1, c_h, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26948, 26946])).
% 80.10/52.41 tff(26950,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8104, 26949, 26945])).
% 80.10/52.41 tff(26951,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_c_h_element_v_in1(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26952,plain,
% 80.10/52.41 (m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26951, 26944, 8083])).
% 80.10/52.41 tff(26953,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.10/52.41 tff(26954,plain,
% 80.10/52.41 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))),
% 80.10/52.41 inference(rewrite,[status(thm)],[])).
% 80.10/52.41 tff(26955,plain,
% 80.10/52.41 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))),
% 80.10/52.41 inference(quant_inst,[status(thm)],[])).
% 80.10/52.41 tff(26956,plain,
% 80.10/52.41 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.10/52.41 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 80.10/52.41 tff(26957,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26956, 4673, 8116, 26953])).
% 80.10/52.41 tff(26958,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26959,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26958, 26952, 26940])).
% 80.10/52.41 tff(26960,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s7) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26961,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26960, 26906, 15853, 26904, 26523, 26900, 26601, 6345, 15986])).
% 80.10/52.41 tff(26962,plain,
% 80.10/52.41 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8174, 26961])).
% 80.10/52.41 tff(26963,plain,
% 80.10/52.41 (~node20(c_e_h_1, c_i, s11)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8182, 26962])).
% 80.10/52.41 tff(26964,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8371, 26963, 8184, 26886])).
% 80.10/52.41 tff(26965,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[21017, 26964])).
% 80.10/52.41 tff(26966,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[21045, 26965, 26898, 26893])).
% 80.10/52.41 tff(26967,plain,
% 80.10/52.41 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[8258, 8191, 26886])).
% 80.10/52.41 tff(26968,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18463, 26967])).
% 80.10/52.41 tff(26969,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18345, 18417])).
% 80.10/52.41 tff(26970,plain,
% 80.10/52.41 (~node11(c_e_h_1, c_n, s12, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18324, 18283, 18316])).
% 80.10/52.41 tff(26971,plain,
% 80.10/52.41 (~node10(c_e_h_1, c_n, s12, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18340, 18283, 18239, 18332])).
% 80.10/52.41 tff(26972,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18329, 26971, 26970])).
% 80.10/52.41 tff(26973,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12))), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26974,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26973, 26969, 18239, 18316])).
% 80.10/52.41 tff(26975,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18422, 18417, 18401])).
% 80.10/52.41 tff(26976,plain,
% 80.10/52.41 (node9(c_e_h_1, c_m, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18444, 26975, 18228])).
% 80.10/52.41 tff(26977,plain,
% 80.10/52.41 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18452, 26976])).
% 80.10/52.41 tff(26978,plain,
% 80.10/52.41 ($false),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[18456, 3886, 26977, 26974])).
% 80.10/52.41 tff(26979,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)) | node9(c_e_h_1, c_m, s12)), inference(lemma,lemma(discharge,[]))).
% 80.10/52.41 tff(26980,plain,
% 80.10/52.41 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.10/52.41 inference(unit_resolution,[status(thm)],[26979, 26968, 26891, 26890, 26888])).
% 80.16/52.42 tff(26981,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[17897, 26905, 17878])).
% 80.16/52.42 tff(26982,plain,
% 80.16/52.42 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[17905, 26981])).
% 80.16/52.42 tff(26983,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.16/52.42 tff(26984,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s13))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(26985,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s13))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(26986,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node3(c_e_h_1, c_e_h_2, s13)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 80.16/52.42 tff(26987,plain,
% 80.16/52.42 (node3(c_e_h_1, c_e_h_2, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[26986, 2823, 1791])).
% 80.16/52.42 tff(26988,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s13)) | (~node3(c_e_h_1, c_e_h_2, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s13)) | (~node3(c_e_h_1, c_e_h_2, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(26989,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_2, s13)) | (~node3(c_e_h_1, c_e_h_2, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(26990,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_2, s13)) | (~node3(c_e_h_1, c_e_h_2, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 80.16/52.42 tff(26991,plain,
% 80.16/52.42 ((~m_cell_v_ack(c_e_h_2, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[26990, 1808, 26987])).
% 80.16/52.42 tff(26992,plain,
% 80.16/52.42 (~m_cell_v_ack(c_e_h_2, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[26991, 26983])).
% 80.16/52.42 tff(26993,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s13))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(26994,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s13))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(26995,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s13)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 80.16/52.42 tff(26996,plain,
% 80.16/52.42 (node2(c_e_h_1, c_e_h_2, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[26995, 2823, 7161])).
% 80.16/52.42 tff(26997,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s13)) | m_cell_v_ack(c_e_h_2, s13) | m_and_h_gate_v_in2(c_e_h_1, c_c, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s13)) | m_cell_v_ack(c_e_h_2, s13) | m_and_h_gate_v_in2(c_e_h_1, c_c, s13))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(26998,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s13)) | m_cell_v_ack(c_e_h_2, s13) | m_and_h_gate_v_in2(c_e_h_1, c_c, s13))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(26999,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s13)) | m_cell_v_ack(c_e_h_2, s13) | m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[26998, 26997])).
% 80.16/52.42 tff(27000,plain,
% 80.16/52.42 (m_cell_v_ack(c_e_h_2, s13) | m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[26999, 7175, 26996])).
% 80.16/52.42 tff(27001,plain,
% 80.16/52.42 (m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27000, 26992])).
% 80.16/52.42 tff(27002,plain,
% 80.16/52.42 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[24387, 18585])).
% 80.16/52.42 tff(27003,plain,
% 80.16/52.42 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25771, 25673, 20832])).
% 80.16/52.42 tff(27004,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s9)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25721, 25673])).
% 80.16/52.42 tff(27005,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25743, 27004, 17397])).
% 80.16/52.42 tff(27006,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25749, 27005, 27003])).
% 80.16/52.42 tff(27007,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_user_v_ack(c_e_h_1, c_u, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27008,plain,
% 80.16/52.42 ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27007, 21088])).
% 80.16/52.42 tff(27009,plain,
% 80.16/52.42 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27008, 25673])).
% 80.16/52.42 tff(27010,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s10) | (~m_user_v_req(c_e_h_1, c_u, s9))),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25743, 21088])).
% 80.16/52.42 tff(27011,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27010, 27004])).
% 80.16/52.42 tff(27012,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[21004, 27011, 9493])).
% 80.16/52.42 tff(27013,plain,
% 80.16/52.42 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[20978, 27012])).
% 80.16/52.42 tff(27014,plain,
% 80.16/52.42 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[20970, 27013, 27009])).
% 80.16/52.42 tff(27015,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25565, 27012, 25513])).
% 80.16/52.42 tff(27016,plain,
% 80.16/52.42 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25573, 27015])).
% 80.16/52.42 tff(27017,plain,
% 80.16/52.42 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25511, 27016, 27014])).
% 80.16/52.42 tff(27018,plain,
% 80.16/52.42 (m_user_v_req(c_e_h_1, c_u, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25599, 27015, 25594])).
% 80.16/52.42 tff(27019,plain,
% 80.16/52.42 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25667, 27018])).
% 80.16/52.42 tff(27020,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25659, 27019, 27017, 25422])).
% 80.16/52.42 tff(27021,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s12) | m_user_v_ack(c_e_h_1, c_u, s11) | m_user_v_ack(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27022,plain,
% 80.16/52.42 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27021, 25422, 27002, 24371, 9493])).
% 80.16/52.42 tff(27023,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[20789, 27022, 17839])).
% 80.16/52.42 tff(27024,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s13)), introduced(assumption)).
% 80.16/52.42 tff(27025,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25669, 25422, 9493, 18547, 18563, 20792, 17541])).
% 80.16/52.42 tff(27026,plain,
% 80.16/52.42 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27027,plain,
% 80.16/52.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27028,plain,
% 80.16/52.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 80.16/52.42 tff(27029,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27028, 2644, 25422, 25811])).
% 80.16/52.42 tff(27030,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27031,plain,
% 80.16/52.42 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27030, 25422])).
% 80.16/52.42 tff(27032,assumption,(node20(c_e_h_1, c_c, s14)), introduced(assumption)).
% 80.16/52.42 tff(27033,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27034,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_c, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27035,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_c, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 80.16/52.42 tff(27036,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27035, 22, 25803, 27032])).
% 80.16/52.42 tff(27037,plain,((~node20(c_e_h_1, c_c, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27038,plain,
% 80.16/52.42 (~node20(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27037, 27031])).
% 80.16/52.42 tff(27039,plain,
% 80.16/52.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node22(c_e_h_1, c_c, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node22(c_e_h_1, c_c, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27040,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node22(c_e_h_1, c_c, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27041,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node22(c_e_h_1, c_c, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27040, 27039])).
% 80.16/52.42 tff(27042,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27041, 437, 25413, 25813, 25341])).
% 80.16/52.42 tff(27043,plain,((~node22(c_e_h_1, c_c, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27044,plain,
% 80.16/52.42 (~node22(c_e_h_1, c_c, s14, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27043, 25341, 25413])).
% 80.16/52.42 tff(27045,assumption,(~node20(c_e_h_1, c_c, s14)), introduced(assumption)).
% 80.16/52.42 tff(27046,assumption,(node21(c_e_h_1, c_c, s14, s15)), introduced(assumption)).
% 80.16/52.42 tff(27047,plain,
% 80.16/52.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node21(c_e_h_1, c_c, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node21(c_e_h_1, c_c, s14, s15)))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27048,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node21(c_e_h_1, c_c, s14, s15)))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27049,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | (~node21(c_e_h_1, c_c, s14, s15))),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 80.16/52.42 tff(27050,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27049, 348, 27046, 25341, 27045])).
% 80.16/52.42 tff(27051,plain,((~node21(c_e_h_1, c_c, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | node20(c_e_h_1, c_c, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27052,plain,
% 80.16/52.42 (~node21(c_e_h_1, c_c, s14, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27051, 25341, 27045])).
% 80.16/52.42 tff(27053,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25826, 27052, 27044])).
% 80.16/52.42 tff(27054,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | node20(c_e_h_1, c_c, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27055,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27054, 27038, 27025, 25341])).
% 80.16/52.42 tff(27056,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27057,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27056, 20792, 9493, 18547, 18562, 25422, 27022])).
% 80.16/52.42 tff(27058,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25783, 20792, 9493, 18547, 18562, 25422])).
% 80.16/52.42 tff(27059,plain,
% 80.16/52.42 (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[20798, 20792])).
% 80.16/52.42 tff(27060,plain,
% 80.16/52.42 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[8327, 27059, 26894])).
% 80.16/52.42 tff(27061,plain,
% 80.16/52.42 (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25419, 25413])).
% 80.16/52.42 tff(27062,plain,
% 80.16/52.42 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[21017, 27060])).
% 80.16/52.42 tff(27063,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[17897, 17878, 17839])).
% 80.16/52.42 tff(27064,plain,
% 80.16/52.42 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[17905, 27063])).
% 80.16/52.42 tff(27065,plain,
% 80.16/52.42 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25258, 25409])).
% 80.16/52.42 tff(27066,plain,
% 80.16/52.42 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[22074, 27065, 18685, 21902, 21750])).
% 80.16/52.42 tff(27067,plain,
% 80.16/52.42 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[22078, 7347, 27066])).
% 80.16/52.42 tff(27068,plain,
% 80.16/52.42 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27069,plain,
% 80.16/52.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27070,plain,
% 80.16/52.42 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27069, 27068])).
% 80.16/52.42 tff(27071,plain,
% 80.16/52.42 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27070, 7347, 21964])).
% 80.16/52.42 tff(27072,plain,
% 80.16/52.42 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s15))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27073,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s15))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27074,plain,
% 80.16/52.42 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27073, 27072])).
% 80.16/52.42 tff(27075,plain,
% 80.16/52.42 (~node20(c_e_h_1, c_r, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27074, 334, 27071])).
% 80.16/52.42 tff(27076,plain,
% 80.16/52.42 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[18728, 9234, 26894])).
% 80.16/52.42 tff(27077,plain,
% 80.16/52.42 (~node20(c_e_h_1, c_r, s12)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[18732, 22, 27076])).
% 80.16/52.42 tff(27078,plain,
% 80.16/52.42 (~m_and_h_gate_v_out(c_e_h_1, c_r, s13)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[18605, 27077, 18585])).
% 80.16/52.42 tff(27079,plain,
% 80.16/52.42 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[18690, 18685])).
% 80.16/52.42 tff(27080,plain,
% 80.16/52.42 (~node20(c_e_h_1, c_r, s14)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[18682, 27079])).
% 80.16/52.42 tff(27081,plain,
% 80.16/52.42 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[21935, 21750, 21902, 21907])).
% 80.16/52.42 tff(27082,plain,
% 80.16/52.42 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[22005, 27065, 21969, 27081])).
% 80.16/52.42 tff(27083,plain,
% 80.16/52.42 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[22037, 21750, 18685, 21902])).
% 80.16/52.42 tff(27084,plain,
% 80.16/52.42 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[22086, 27083])).
% 80.16/52.42 tff(27085,assumption,(m_c_h_element_v_out(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.16/52.42 tff(27086,assumption,(~m_c_h_element_v_out(c_e_h_1, c_e, s15)), introduced(assumption)).
% 80.16/52.42 tff(27087,plain,
% 80.16/52.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node18(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node18(c_e_h_1, c_e, s15, s16)))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27088,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node18(c_e_h_1, c_e, s15, s16)))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27089,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node18(c_e_h_1, c_e, s15, s16))),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27088, 27087])).
% 80.16/52.42 tff(27090,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27089, 481, 27085, 27086, 25261])).
% 80.16/52.42 tff(27091,plain,((~node18(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27092,plain,
% 80.16/52.42 (~node18(c_e_h_1, c_e, s15, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27091, 27086, 27085])).
% 80.16/52.42 tff(27093,plain,
% 80.16/52.42 (~node18(c_e_h_1, c_e, s15, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27091, 27085, 27086])).
% 80.16/52.42 tff(27094,plain,
% 80.16/52.42 (node17(c_e_h_1, c_e, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25278, 27093])).
% 80.16/52.42 tff(27095,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_e, s15)), introduced(assumption)).
% 80.16/52.42 tff(27096,plain,
% 80.16/52.42 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15))),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25326, 541, 27095])).
% 80.16/52.42 tff(27097,plain,
% 80.16/52.42 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27096, 27094])).
% 80.16/52.42 tff(27098,plain,
% 80.16/52.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | (~node15(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | (~node15(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27099,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | (~node15(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))),
% 80.16/52.42 inference(quant_inst,[status(thm)],[])).
% 80.16/52.42 tff(27100,plain,
% 80.16/52.42 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | (~node15(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.16/52.42 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 80.16/52.42 tff(27101,plain,
% 80.16/52.42 ($false),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27100, 612, 27085, 27086, 25280])).
% 80.16/52.42 tff(27102,plain,((~node15(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.42 tff(27103,plain,
% 80.16/52.42 (~node15(c_e_h_1, c_e, s15, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[27102, 27085, 27086])).
% 80.16/52.42 tff(27104,plain,
% 80.16/52.42 (~node16(c_e_h_1, c_e, s15)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25337, 27094])).
% 80.16/52.42 tff(27105,plain,
% 80.16/52.42 (node14(c_e_h_1, c_e, s15, s16)),
% 80.16/52.42 inference(unit_resolution,[status(thm)],[25304, 27104, 27103])).
% 80.16/52.42 tff(27106,plain,
% 80.16/52.42 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 80.16/52.42 inference(rewrite,[status(thm)],[])).
% 80.16/52.42 tff(27107,plain,
% 80.16/52.42 (((~node14(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27108,plain,
% 80.16/52.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16))))),
% 80.16/52.43 inference(monotonicity,[status(thm)],[27107])).
% 80.16/52.43 tff(27109,plain,
% 80.16/52.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16)))),
% 80.16/52.43 inference(transitivity,[status(thm)],[27108, 27106])).
% 80.16/52.43 tff(27110,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_e, s15, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27111,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node14(c_e_h_1, c_e, s15, s16))),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27110, 27109])).
% 80.16/52.43 tff(27112,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27111, 575, 27085, 25291, 25308])).
% 80.16/52.43 tff(27113,plain,((~node14(c_e_h_1, c_e, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27114,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27113, 27105, 27097, 27085])).
% 80.16/52.43 tff(27115,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s16)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15) | m_c_h_element_v_out(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27116,plain,
% 80.16/52.43 (m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27115, 27086, 27085])).
% 80.16/52.43 tff(27117,plain,
% 80.16/52.43 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | (~node17(c_e_h_1, c_e, s15))),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[25314, 1172, 25308])).
% 80.16/52.43 tff(27118,plain,
% 80.16/52.43 (~node17(c_e_h_1, c_e, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27117, 27116])).
% 80.16/52.43 tff(27119,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[25278, 27118, 27092])).
% 80.16/52.43 tff(27120,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s15) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s16))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27121,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27120, 25409, 25308])).
% 80.16/52.43 tff(27122,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21066, 27121])).
% 80.16/52.43 tff(27123,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22114, 27122, 27084, 27082])).
% 80.16/52.43 tff(27124,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22118, 3886, 27123])).
% 80.16/52.43 tff(27125,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22126, 27124])).
% 80.16/52.43 tff(27126,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22154, 27125, 27066])).
% 80.16/52.43 tff(27127,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22162, 27126])).
% 80.16/52.43 tff(27128,plain,
% 80.16/52.43 (~node20(c_e_h_1, c_r, s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22170, 27127])).
% 80.16/52.43 tff(27129,assumption,(~node20(c_e_h_1, c_r, s15)), introduced(assumption)).
% 80.16/52.43 tff(27130,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17714, 12656, 15780])).
% 80.16/52.43 tff(27131,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16007, 18064, 15983])).
% 80.16/52.43 tff(27132,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21235, 27131, 17802, 27130])).
% 80.16/52.43 tff(27133,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16371, 27132])).
% 80.16/52.43 tff(27134,plain,
% 80.16/52.43 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17980, 27131])).
% 80.16/52.43 tff(27135,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s6)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17699, 5858])).
% 80.16/52.43 tff(27136,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17702, 27135, 7506])).
% 80.16/52.43 tff(27137,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[7695, 27136, 7646])).
% 80.16/52.43 tff(27138,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16332, 27137])).
% 80.16/52.43 tff(27139,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[8639, 27136])).
% 80.16/52.43 tff(27140,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16318, 27139, 18025])).
% 80.16/52.43 tff(27141,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16363, 27140, 16336, 27138])).
% 80.16/52.43 tff(27142,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16326, 27141])).
% 80.16/52.43 tff(27143,plain,
% 80.16/52.43 (node9(c_e_h_1, c_m, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[5977, 27142])).
% 80.16/52.43 tff(27144,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[5955, 238, 18027, 27143])).
% 80.16/52.43 tff(27145,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | m_c_h_element_v_in1(c_e_h_1, c_e, s7) | m_c_h_element_v_in1(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27146,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27145, 27134, 18065, 17688])).
% 80.16/52.43 tff(27147,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[8639, 27130])).
% 80.16/52.43 tff(27148,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18054, 27147, 17688])).
% 80.16/52.43 tff(27149,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18059, 27134, 17688, 27130])).
% 80.16/52.43 tff(27150,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16308, 27148])).
% 80.16/52.43 tff(27151,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16400, 27133, 27146, 27150])).
% 80.16/52.43 tff(27152,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17503, 27151])).
% 80.16/52.43 tff(27153,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17511, 27152])).
% 80.16/52.43 tff(27154,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17537, 27153, 27149])).
% 80.16/52.43 tff(27155,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18424, 27154, 8037, 27148, 27146, 27133, 8001])).
% 80.16/52.43 tff(27156,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18637, 7347, 27155])).
% 80.16/52.43 tff(27157,plain,
% 80.16/52.43 (~node20(c_e_h_1, c_r, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18629, 334, 27156])).
% 80.16/52.43 tff(27158,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18625, 27157, 18608])).
% 80.16/52.43 tff(27159,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18674, 27158, 18647])).
% 80.16/52.43 tff(27160,assumption,(m_and_h_gate_v_out(c_e_h_1, c_r, s16)), introduced(assumption)).
% 80.16/52.43 tff(27161,assumption,(node22(c_e_h_1, c_r, s15, s16)), introduced(assumption)).
% 80.16/52.43 tff(27162,plain,
% 80.16/52.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node22(c_e_h_1, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node22(c_e_h_1, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27163,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node22(c_e_h_1, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27164,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node22(c_e_h_1, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27163, 27162])).
% 80.16/52.43 tff(27165,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27164, 437, 18714, 27161, 27160])).
% 80.16/52.43 tff(27166,plain,((~node22(c_e_h_1, c_r, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27167,plain,
% 80.16/52.43 (~node22(c_e_h_1, c_r, s15, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27166, 27160, 18714])).
% 80.16/52.43 tff(27168,plain,
% 80.16/52.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_r, s15, s16) | node22(c_e_h_1, c_r, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_r, s15, s16) | node22(c_e_h_1, c_r, s15, s16))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27169,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_r, s15, s16) | node22(c_e_h_1, c_r, s15, s16))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27170,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_r, s15, s16) | node22(c_e_h_1, c_r, s15, s16)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 80.16/52.43 tff(27171,plain,
% 80.16/52.43 (node21(c_e_h_1, c_r, s15, s16) | node22(c_e_h_1, c_r, s15, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27170, 383, 21999])).
% 80.16/52.43 tff(27172,plain,
% 80.16/52.43 (node21(c_e_h_1, c_r, s15, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27171, 27167])).
% 80.16/52.43 tff(27173,plain,
% 80.16/52.43 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node21(c_e_h_1, c_r, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node21(c_e_h_1, c_r, s15, s16)))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27174,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node21(c_e_h_1, c_r, s15, s16)))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27175,plain,
% 80.16/52.43 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | (~node21(c_e_h_1, c_r, s15, s16))),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 80.16/52.43 tff(27176,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27175, 348, 27172, 27129, 27160])).
% 80.16/52.43 tff(27177,plain,((~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | node20(c_e_h_1, c_r, s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27178,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27177, 27159, 27129])).
% 80.16/52.43 tff(27179,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_1, c_u, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22227, 27178])).
% 80.16/52.43 tff(27180,plain,
% 80.16/52.43 (~node24(s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22231, 9500, 27179])).
% 80.16/52.43 tff(27181,plain,
% 80.16/52.43 (xuntil28(s9)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21091, 24127])).
% 80.16/52.43 tff(27182,plain,
% 80.16/52.43 (until27(s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17425, 27181])).
% 80.16/52.43 tff(27183,plain,
% 80.16/52.43 (xuntil28(s10) | (~until27(s10))),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17440, 17235, 21069])).
% 80.16/52.43 tff(27184,plain,
% 80.16/52.43 (xuntil28(s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27183, 27182])).
% 80.16/52.43 tff(27185,plain,
% 80.16/52.43 (until27(s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17451, 27184])).
% 80.16/52.43 tff(27186,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[8258, 8193, 8081])).
% 80.16/52.43 tff(27187,plain,
% 80.16/52.43 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18728, 9234, 27186])).
% 80.16/52.43 tff(27188,plain,
% 80.16/52.43 (~node20(c_e_h_1, c_r, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18732, 22, 27187])).
% 80.16/52.43 tff(27189,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22862, 24198, 24159])).
% 80.16/52.43 tff(27190,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22867, 27189])).
% 80.16/52.43 tff(27191,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22979, 27190, 24161, 24167])).
% 80.16/52.43 tff(27192,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23661, 27191])).
% 80.16/52.43 tff(27193,plain,
% 80.16/52.43 (~node9(c_e_h_2, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23715, 27192])).
% 80.16/52.43 tff(27194,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23738, 27193, 24164])).
% 80.16/52.43 tff(27195,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23369, 23506, 24159, 24512])).
% 80.16/52.43 tff(27196,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23667, 27195])).
% 80.16/52.43 tff(27197,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23786, 27191, 27196, 24172])).
% 80.16/52.43 tff(27198,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23872, 3886, 27197])).
% 80.16/52.43 tff(27199,plain,
% 80.16/52.43 (~node9(c_e_h_2, c_m, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23876, 238, 27198])).
% 80.16/52.43 tff(27200,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23868, 27199, 27194])).
% 80.16/52.43 tff(27201,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23915, 7347, 27200])).
% 80.16/52.43 tff(27202,plain,
% 80.16/52.43 (~node20(c_e_h_2, c_r, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23919, 334, 27201])).
% 80.16/52.43 tff(27203,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18720, 27159])).
% 80.16/52.43 tff(27204,plain,
% 80.16/52.43 (~node24(s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18724, 9500, 27203])).
% 80.16/52.43 tff(27205,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_2, c_r, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24028, 24150, 24186, 24145])).
% 80.16/52.43 tff(27206,plain,
% 80.16/52.43 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27207,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27208,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s14)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 80.16/52.43 tff(27209,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27208, 7347, 24158])).
% 80.16/52.43 tff(27210,plain,
% 80.16/52.43 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s14))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27211,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s14))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27212,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s14)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s14)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 80.16/52.43 tff(27213,plain,
% 80.16/52.43 (~node20(c_e_h_2, c_r, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27212, 334, 27209])).
% 80.16/52.43 tff(27214,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_2, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23424, 27213, 27205])).
% 80.16/52.43 tff(27215,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_2, c_e, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22564, 22481, 22490])).
% 80.16/52.43 tff(27216,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_2, c_e, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23369, 27215, 22772, 23255])).
% 80.16/52.43 tff(27217,plain,
% 80.16/52.43 (~m_and_h_gate_v_in1(c_e_h_2, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23373, 9234, 27216])).
% 80.16/52.43 tff(27218,plain,
% 80.16/52.43 (~node20(c_e_h_2, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23377, 22, 27217])).
% 80.16/52.43 tff(27219,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23400, 27218, 23380])).
% 80.16/52.43 tff(27220,plain,
% 80.16/52.43 (node20(c_e_h_2, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23653, 27219, 23632])).
% 80.16/52.43 tff(27221,plain,
% 80.16/52.43 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s16))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27222,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s16))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27223,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s16)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 80.16/52.43 tff(27224,plain,
% 80.16/52.43 (m_and_h_gate_v_in2(c_e_h_2, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27223, 334, 27220])).
% 80.16/52.43 tff(27225,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22569, 22481])).
% 80.16/52.43 tff(27226,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22910, 27225, 22874, 22882])).
% 80.16/52.43 tff(27227,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23017, 3886, 27226])).
% 80.16/52.43 tff(27228,plain,
% 80.16/52.43 (~node9(c_e_h_2, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23021, 238, 27227])).
% 80.16/52.43 tff(27229,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23010, 27228, 23888])).
% 80.16/52.43 tff(27230,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22574, 27215])).
% 80.16/52.43 tff(27231,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22949, 27230, 22874, 22716, 27225])).
% 80.16/52.43 tff(27232,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23677, 3886, 27231])).
% 80.16/52.43 tff(27233,plain,
% 80.16/52.43 (~node9(c_e_h_2, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23681, 238, 27232])).
% 80.16/52.43 tff(27234,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23706, 27233, 27229])).
% 80.16/52.43 tff(27235,plain,
% 80.16/52.43 (~m_c_h_element_v_out(c_e_h_2, c_e, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22862, 27215, 23244])).
% 80.16/52.43 tff(27236,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22867, 27235])).
% 80.16/52.43 tff(27237,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22984, 27229])).
% 80.16/52.43 tff(27238,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22979, 27237, 27236, 27231])).
% 80.16/52.43 tff(27239,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23661, 27238])).
% 80.16/52.43 tff(27240,plain,
% 80.16/52.43 (~node9(c_e_h_2, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23715, 27239])).
% 80.16/52.43 tff(27241,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23738, 27240, 27234])).
% 80.16/52.43 tff(27242,plain,
% 80.16/52.43 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27243,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27244,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s16)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27243, 27242])).
% 80.16/52.43 tff(27245,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27244, 7347, 27241, 27224])).
% 80.16/52.43 tff(27246,plain,(m_c_h_element_v_out(c_e_h_2, c_e, s12) | (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)) | m_and_h_gate_v_out(c_e_h_2, c_r, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s12)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s13) | node20(c_e_h_2, c_i, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s12)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27247,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_2, c_r, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27246, 23506, 24148, 24153, 24145, 22253, 24512, 27214])).
% 80.16/52.43 tff(27248,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_2, c_r, s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[23946, 27202, 27247])).
% 80.16/52.43 tff(27249,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_2, c_u, s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24134, 27248])).
% 80.16/52.43 tff(27250,plain,
% 80.16/52.43 (~node23(s18)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24142, 27249])).
% 80.16/52.43 tff(27251,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_2, c_u, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24036, 27205])).
% 80.16/52.43 tff(27252,plain,
% 80.16/52.43 (~node23(s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24040, 12627, 27251])).
% 80.16/52.43 tff(27253,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18747, 27158])).
% 80.16/52.43 tff(27254,plain,
% 80.16/52.43 (~node24(s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18755, 27253])).
% 80.16/52.43 tff(27255,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_2, c_u, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24050, 27214])).
% 80.16/52.43 tff(27256,plain,
% 80.16/52.43 (~node23(s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[24054, 12627, 27255])).
% 80.16/52.43 tff(27257,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18380, 8744, 18250, 16384, 18375, 16373])).
% 80.16/52.43 tff(27258,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16455, 8744, 18375])).
% 80.16/52.43 tff(27259,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[16400, 18376, 16373, 16384])).
% 80.16/52.43 tff(27260,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17503, 27259])).
% 80.16/52.43 tff(27261,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s10)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17511, 27260])).
% 80.16/52.43 tff(27262,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[17537, 27261, 27258])).
% 80.16/52.43 tff(27263,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[26897, 27262, 8081, 8193, 27257])).
% 80.16/52.43 tff(27264,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18456, 3886, 27263])).
% 80.16/52.43 tff(27265,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18452, 27264])).
% 80.16/52.43 tff(27266,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18276, 3886, 27257])).
% 80.16/52.43 tff(27267,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18280, 238, 27266])).
% 80.16/52.43 tff(27268,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18399, 27267, 27262])).
% 80.16/52.43 tff(27269,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18372, 27262])).
% 80.16/52.43 tff(27270,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18313, 27269, 12653, 27257])).
% 80.16/52.43 tff(27271,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18387, 3886, 27270])).
% 80.16/52.43 tff(27272,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s12)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18391, 238, 27271])).
% 80.16/52.43 tff(27273,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18422, 27272, 27268])).
% 80.16/52.43 tff(27274,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18444, 27273, 27265])).
% 80.16/52.43 tff(27275,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[20765, 27273])).
% 80.16/52.43 tff(27276,plain,
% 80.16/52.43 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21045, 27275, 21019, 27263])).
% 80.16/52.43 tff(27277,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21939, 3886, 27276])).
% 80.16/52.43 tff(27278,plain,
% 80.16/52.43 (~node9(c_e_h_1, c_m, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21943, 238, 27277])).
% 80.16/52.43 tff(27279,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[21963, 27278, 27274])).
% 80.16/52.43 tff(27280,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27070, 7347, 27279])).
% 80.16/52.43 tff(27281,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18637, 7347, 27273])).
% 80.16/52.43 tff(27282,plain,
% 80.16/52.43 (~node20(c_e_h_1, c_r, s13)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18629, 334, 27281])).
% 80.16/52.43 tff(27283,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18625, 27282, 18608])).
% 80.16/52.43 tff(27284,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[18674, 27283, 18647])).
% 80.16/52.43 tff(27285,plain,
% 80.16/52.43 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22037, 27274, 21901, 27276])).
% 80.16/52.43 tff(27286,plain,
% 80.16/52.43 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27287,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27288,plain,
% 80.16/52.43 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27287, 27286])).
% 80.16/52.43 tff(27289,plain,
% 80.16/52.43 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27288, 7347, 27285])).
% 80.16/52.43 tff(27290,plain,
% 80.16/52.43 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s16))),
% 80.16/52.43 inference(rewrite,[status(thm)],[])).
% 80.16/52.43 tff(27291,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s16))),
% 80.16/52.43 inference(quant_inst,[status(thm)],[])).
% 80.16/52.43 tff(27292,plain,
% 80.16/52.43 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_r, s16)) | m_and_h_gate_v_in2(c_e_h_1, c_r, s16)),
% 80.16/52.43 inference(modus_ponens,[status(thm)],[27291, 27290])).
% 80.16/52.43 tff(27293,plain,
% 80.16/52.43 (~node20(c_e_h_1, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27292, 334, 27289])).
% 80.16/52.43 tff(27294,plain,
% 80.16/52.43 (m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22193, 27293, 22173])).
% 80.16/52.43 tff(27295,plain,
% 80.16/52.43 (node20(c_e_h_1, c_r, s15)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27177, 27294, 27284])).
% 80.16/52.43 tff(27296,plain,
% 80.16/52.43 ($false),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27074, 334, 27295, 27280])).
% 80.16/52.43 tff(27297,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | node20(c_e_h_1, c_r, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | m_and_h_gate_v_out(c_e_h_1, c_r, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.43 tff(27298,plain,
% 80.16/52.43 (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[27297, 27146, 21901, 27148, 18247, 18608, 8081, 18647, 27133, 8193, 21019])).
% 80.16/52.43 tff(27299,plain,
% 80.16/52.43 (~m_user_v_ack(c_e_h_1, c_u, s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22238, 27298])).
% 80.16/52.43 tff(27300,plain,
% 80.16/52.43 (~node24(s17)),
% 80.16/52.43 inference(unit_resolution,[status(thm)],[22245, 9500, 27299])).
% 80.16/52.43 tff(27301,plain,
% 80.16/52.43 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27302,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27303,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_r, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_2, c_r, s15)) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s15)),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 80.16/52.44 tff(27304,plain,
% 80.16/52.44 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s15)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27303, 7347, 24164])).
% 80.16/52.44 tff(27305,plain,
% 80.16/52.44 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s15))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27306,plain,
% 80.16/52.44 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s15))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27307,plain,
% 80.16/52.44 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_r, s15)) | m_and_h_gate_v_in2(c_e_h_2, c_r, s15)),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 80.16/52.44 tff(27308,plain,
% 80.16/52.44 (~node20(c_e_h_2, c_r, s15)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27307, 334, 27304])).
% 80.16/52.44 tff(27309,plain,
% 80.16/52.44 (~m_and_h_gate_v_out(c_e_h_2, c_r, s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23400, 27308, 27214])).
% 80.16/52.44 tff(27310,plain,
% 80.16/52.44 (~m_user_v_ack(c_e_h_2, c_u, s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24008, 27309])).
% 80.16/52.44 tff(27311,plain,
% 80.16/52.44 (~node23(s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24012, 12627, 27310])).
% 80.16/52.44 tff(27312,plain,
% 80.16/52.44 (~m_user_v_ack(c_e_h_2, c_u, s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23996, 27247])).
% 80.16/52.44 tff(27313,plain,
% 80.16/52.44 (~node23(s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24000, 12627, 27312])).
% 80.16/52.44 tff(27314,plain,
% 80.16/52.44 (~m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[22219, 27298, 22172])).
% 80.16/52.44 tff(27315,plain,
% 80.16/52.44 (~m_and_h_gate_v_out(c_e_h_1, c_r, s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25206, 27314, 22221])).
% 80.16/52.44 tff(27316,plain,
% 80.16/52.44 (~m_user_v_ack(c_e_h_1, c_u, s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25214, 27315])).
% 80.16/52.44 tff(27317,plain,
% 80.16/52.44 (~node24(s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25221, 9500, 27316])).
% 80.16/52.44 tff(27318,plain,
% 80.16/52.44 (m_and_h_gate_h_init_v_in2(c_e_h_2, c_n, s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23747, 27194])).
% 80.16/52.44 tff(27319,plain,
% 80.16/52.44 (~m_c_h_element_v_out(c_e_h_2, c_e, s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23621, 21061, 24159, 21070, 21071, 22081])).
% 80.16/52.44 tff(27320,plain,
% 80.16/52.44 (m_and_h_gate_h_init_v_in1(c_e_h_2, c_n, s16)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23672, 27319])).
% 80.16/52.44 tff(27321,plain,
% 80.16/52.44 (m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23813, 27320, 27318, 27197])).
% 80.16/52.44 tff(27322,plain,
% 80.16/52.44 (~m_and_h_gate_h_init_v_in2(c_e_h_2, c_m, s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23817, 3886, 27321])).
% 80.16/52.44 tff(27323,plain,
% 80.16/52.44 (~node9(c_e_h_2, c_m, s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23823, 238, 27322])).
% 80.16/52.44 tff(27324,plain,
% 80.16/52.44 (~m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23845, 27323, 27200])).
% 80.16/52.44 tff(27325,plain,
% 80.16/52.44 (~m_and_h_gate_v_in2(c_e_h_2, c_r, s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23882, 7347, 27324])).
% 80.16/52.44 tff(27326,plain,
% 80.16/52.44 (~node20(c_e_h_2, c_r, s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23886, 334, 27325])).
% 80.16/52.44 tff(27327,plain,
% 80.16/52.44 (~m_and_h_gate_v_out(c_e_h_2, c_r, s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23977, 27326, 27248])).
% 80.16/52.44 tff(27328,plain,
% 80.16/52.44 (~m_user_v_ack(c_e_h_2, c_u, s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23985, 27327])).
% 80.16/52.44 tff(27329,plain,
% 80.16/52.44 (~node25(s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24121, 27328])).
% 80.16/52.44 tff(27330,plain,
% 80.16/52.44 (~node23(s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[23989, 12627, 27328])).
% 80.16/52.44 tff(27331,plain,
% 80.16/52.44 (node24(s19) | (~node26(s19))),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25178, 12641, 27330, 27329])).
% 80.16/52.44 tff(27332,plain,
% 80.16/52.44 (~node26(s19)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27331, 27317])).
% 80.16/52.44 tff(27333,plain,
% 80.16/52.44 (node24(s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25168, 27332, 22342, 20459, 27313, 21069, 27311, 24127, 27300, 27256, 27254, 27252, 27250, 27204, 27202, 27188, 18547, 18563, 27185, 21061, 21071, 22081, 21070, 22082, 23165, 22363, 20179, 27180])).
% 80.16/52.44 tff(27334,plain,
% 80.16/52.44 (~m_user_v_ack(c_e_h_1, c_u, s18)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24062, 27314])).
% 80.16/52.44 tff(27335,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[24068, 9500, 27334, 27333])).
% 80.16/52.44 tff(27336,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_2, c_e, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s10)) | node26(s10) | node26(s9) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_2, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | m_and_h_gate_h_init_v_out(c_e_h_2, c_m, s10) | node20(c_e_h_1, c_r, s15) | node20(c_e_h_1, c_r, s14) | m_and_h_gate_v_out(c_e_h_1, c_r, s13) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | node20(c_e_h_1, c_r, s18) | node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27337,plain,
% 80.16/52.44 (m_and_h_gate_v_out(c_e_h_1, c_c, s5) | node26(s10) | node26(s9) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_e, s10) | node20(c_e_h_1, c_r, s15) | node20(c_e_h_1, c_r, s14) | m_and_h_gate_v_out(c_e_h_1, c_r, s13) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | node20(c_e_h_1, c_r, s18) | node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27336, 22341, 20457, 23147, 20177])).
% 80.16/52.44 tff(27338,plain,
% 80.16/52.44 (m_and_h_gate_v_out(c_e_h_1, c_c, s5) | node26(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | node20(c_e_h_1, c_r, s15) | node20(c_e_h_1, c_r, s14) | m_and_h_gate_v_out(c_e_h_1, c_r, s13) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | node20(c_e_h_1, c_r, s18) | node20(c_e_h_1, c_r, s17) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27337, 21090, 22260])).
% 80.16/52.44 tff(27339,plain,
% 80.16/52.44 (node20(c_e_h_1, c_r, s17)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27338, 27128, 21070, 8001, 21069, 22082, 18547, 12656, 21019, 27080, 18562, 8193, 27078, 8037, 27075, 22081, 21750, 8081, 21061, 21071, 17802, 15983, 15780])).
% 80.16/52.44 tff(27340,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25229, 334, 27339, 27067])).
% 80.16/52.44 tff(27341,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | node26(s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27342,plain,
% 80.16/52.44 (m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27341, 27064, 8001, 18758, 22082, 18547, 12656, 27062, 8193, 21070, 22081, 8081, 21061, 21071, 17802, 15983, 15780, 18685, 21902, 25308, 27061])).
% 80.16/52.44 tff(27343,plain,
% 80.16/52.44 (~node14(c_e_h_1, c_e, s13, s14)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[9054, 8970, 9045])).
% 80.16/52.44 tff(27344,assumption,(~node14(c_e_h_1, c_e, s13, s14)), introduced(assumption)).
% 80.16/52.44 tff(27345,plain,
% 80.16/52.44 (node16(c_e_h_1, c_e, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[9043, 9010, 27344])).
% 80.16/52.44 tff(27346,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[9035, 8997, 27345])).
% 80.16/52.44 tff(27347,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s13) | node14(c_e_h_1, c_e, s13, s14) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27348,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27347, 27343, 8970, 8971])).
% 80.16/52.44 tff(27349,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | m_c_h_element_v_in1(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27350,plain,
% 80.16/52.44 (m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27349, 27342, 27060])).
% 80.16/52.44 tff(27351,plain,
% 80.16/52.44 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27352,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27353,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 80.16/52.44 tff(27354,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27353, 4240, 20877, 20909])).
% 80.16/52.44 tff(27355,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s13)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27356,plain,
% 80.16/52.44 (m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27355, 27350])).
% 80.16/52.44 tff(27357,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27358,plain,
% 80.16/52.44 ((m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27359,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14))))),
% 80.16/52.44 inference(monotonicity,[status(thm)],[27358])).
% 80.16/52.44 tff(27360,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)))),
% 80.16/52.44 inference(transitivity,[status(thm)],[27359, 27357])).
% 80.16/52.44 tff(27361,plain,
% 80.16/52.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27362,plain,
% 80.16/52.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~node22(c_e_h_1, c_c, s13, s14))),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27361, 27360])).
% 80.16/52.44 tff(27363,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27362, 6905, 25440, 20902, 25413])).
% 80.16/52.44 tff(27364,plain,((~node22(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27365,plain,
% 80.16/52.44 (~node22(c_e_h_1, c_c, s13, s14)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27364, 25413, 20902])).
% 80.16/52.44 tff(27366,plain,
% 80.16/52.44 (node21(c_e_h_1, c_c, s13, s14)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25450, 27365])).
% 80.16/52.44 tff(27367,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27368,plain,
% 80.16/52.44 (((~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27369,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)))),
% 80.16/52.44 inference(monotonicity,[status(thm)],[27368])).
% 80.16/52.44 tff(27370,plain,
% 80.16/52.44 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.44 inference(transitivity,[status(thm)],[27369, 27367])).
% 80.16/52.44 tff(27371,plain,
% 80.16/52.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s13, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27372,plain,
% 80.16/52.44 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~node21(c_e_h_1, c_c, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 80.16/52.44 tff(27373,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27372, 7190, 27024, 27366, 25413, 25424])).
% 80.16/52.44 tff(27374,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27375,plain,
% 80.16/52.44 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27374, 27356, 27024, 25413])).
% 80.16/52.44 tff(27376,plain,
% 80.16/52.44 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))),
% 80.16/52.44 inference(rewrite,[status(thm)],[])).
% 80.16/52.44 tff(27377,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13))),
% 80.16/52.44 inference(quant_inst,[status(thm)],[])).
% 80.16/52.44 tff(27378,plain,
% 80.16/52.44 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 80.16/52.44 inference(modus_ponens,[status(thm)],[27377, 27376])).
% 80.16/52.44 tff(27379,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27378, 7440, 25577, 25431])).
% 80.16/52.44 tff(27380,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s13) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27381,plain,
% 80.16/52.44 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27380, 27375])).
% 80.16/52.44 tff(27382,plain,
% 80.16/52.44 (node20(c_e_h_1, c_c, s12)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25473, 27356, 20792])).
% 80.16/52.44 tff(27383,plain,
% 80.16/52.44 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25480, 27382])).
% 80.16/52.44 tff(27384,plain,
% 80.16/52.44 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25486, 27383])).
% 80.16/52.44 tff(27385,plain,
% 80.16/52.44 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25511, 27384, 27381])).
% 80.16/52.44 tff(27386,plain,
% 80.16/52.44 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25540, 27384, 17541, 9493])).
% 80.16/52.44 tff(27387,plain,
% 80.16/52.44 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25565, 27386, 24371])).
% 80.16/52.44 tff(27388,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[25573, 27387, 27385])).
% 80.16/52.44 tff(27389,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27390,plain,
% 80.16/52.44 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27389, 20792, 27024, 9493, 17541, 8001, 22082, 18547, 12656, 8193, 21070, 22081, 8081, 21061, 21071, 17802, 15983, 15780, 18685, 25413, 25308, 17839])).
% 80.16/52.44 tff(27391,plain,
% 80.16/52.44 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[21045, 27390, 21037, 21020])).
% 80.16/52.44 tff(27392,plain,
% 80.16/52.44 ($false),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[21017, 27391, 27060])).
% 80.16/52.44 tff(27393,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_and_h_gate_v_out(c_e_h_1, c_c, s9)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.44 tff(27394,plain,
% 80.16/52.44 (m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.16/52.44 inference(unit_resolution,[status(thm)],[27393, 27058, 21020, 27024, 9493, 27022, 8001, 22082, 18547, 12656, 8193, 21070, 22081, 8081, 21061, 21071, 17802, 15983, 15780, 18685, 21037, 20792, 17839])).
% 80.16/52.44 tff(27395,plain,
% 80.16/52.44 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27396,plain,
% 80.16/52.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15))),
% 80.16/52.45 inference(quant_inst,[status(thm)],[])).
% 80.16/52.45 tff(27397,plain,
% 80.16/52.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.16/52.45 inference(modus_ponens,[status(thm)],[27396, 27395])).
% 80.16/52.45 tff(27398,plain,
% 80.16/52.45 ($false),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27397, 4240, 25290, 25812])).
% 80.16/52.45 tff(27399,plain,((~m_c_h_element_v_in1(c_e_h_1, c_e, s15)) | m_and_h_gate_v_out(c_e_h_1, c_c, s15)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.45 tff(27400,plain,
% 80.16/52.45 ($false),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27399, 27394, 27057])).
% 80.16/52.45 tff(27401,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_user_v_ack(c_e_h_1, c_u, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | m_mutex_h_half_v_out(c_e_h_1, c_a, s14)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.45 tff(27402,plain,
% 80.16/52.45 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27401, 25422, 27024, 9493, 8001, 22082, 18547, 12656, 8193, 21070, 22081, 8081, 21061, 21071, 17802, 15983, 15780, 18685, 21037, 17839, 21020])).
% 80.16/52.45 tff(27403,plain,
% 80.16/52.45 (node20(c_e_h_1, c_c, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[20821, 27402, 27023])).
% 80.16/52.45 tff(27404,plain,
% 80.16/52.45 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[20829, 27403])).
% 80.16/52.45 tff(27405,plain,
% 80.16/52.45 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[20837, 27404])).
% 80.16/52.45 tff(27406,plain,
% 80.16/52.45 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[25796, 27405, 24371, 9493, 27022])).
% 80.16/52.45 tff(27407,plain,
% 80.16/52.45 (m_user_v_req(c_e_h_1, c_u, s13)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[25634, 27406, 27022, 9493, 18547, 18562])).
% 80.16/52.45 tff(27408,plain,
% 80.16/52.45 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s13)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[25659, 27406, 25422])).
% 80.16/52.45 tff(27409,plain,
% 80.16/52.45 ($false),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[25667, 27408, 27407])).
% 80.16/52.45 tff(27410,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.45 tff(27411,plain,
% 80.16/52.45 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27410, 26899, 18547, 21061, 8001, 22082, 12656, 27001, 21070, 22081, 26886, 8191, 21071, 9493, 15983, 17782, 26980, 26898, 26905, 26893])).
% 80.16/52.45 tff(27412,plain,
% 80.16/52.45 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[25809, 27411])).
% 80.16/52.45 tff(27413,plain,
% 80.16/52.45 (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[26939, 26906, 26601, 26724])).
% 80.16/52.45 tff(27414,plain,
% 80.16/52.45 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[26958, 27413])).
% 80.16/52.45 tff(27415,assumption,(m_c_h_element_v_out(c_e_h_1, c_f, s13)), introduced(assumption)).
% 80.16/52.45 tff(27416,plain,
% 80.16/52.45 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[26951, 8075, 26947])).
% 80.16/52.45 tff(27417,plain,
% 80.16/52.45 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[8174, 27416])).
% 80.16/52.45 tff(27418,plain,
% 80.16/52.45 (~node20(c_e_h_1, c_i, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[8182, 27417])).
% 80.16/52.45 tff(27419,plain,
% 80.16/52.45 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[26776, 8184])).
% 80.16/52.45 tff(27420,plain,
% 80.16/52.45 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[26843, 27419, 17539])).
% 80.16/52.45 tff(27421,plain,
% 80.16/52.45 (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[8957, 8184, 8358])).
% 80.16/52.45 tff(27422,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.16/52.45 tff(27423,plain,
% 80.16/52.45 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27424,plain,
% 80.16/52.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 80.16/52.45 inference(quant_inst,[status(thm)],[])).
% 80.16/52.45 tff(27425,plain,
% 80.16/52.45 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.16/52.45 inference(modus_ponens,[status(thm)],[27424, 27423])).
% 80.16/52.45 tff(27426,plain,
% 80.16/52.45 ($false),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27425, 527, 27422, 8343])).
% 80.16/52.45 tff(27427,plain,((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 80.16/52.45 tff(27428,plain,
% 80.16/52.45 (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27427, 27421])).
% 80.16/52.45 tff(27429,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.16/52.45 tff(27430,assumption,(node18(c_e_h_1, c_f, s12, s13)), introduced(assumption)).
% 80.16/52.45 tff(27431,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27432,plain,
% 80.16/52.45 (((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~node18(c_e_h_1, c_f, s12, s13))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27433,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~node18(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13))))),
% 80.16/52.45 inference(monotonicity,[status(thm)],[27432])).
% 80.16/52.45 tff(27434,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~node18(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.16/52.45 inference(transitivity,[status(thm)],[27433, 27431])).
% 80.16/52.45 tff(27435,plain,
% 80.16/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.16/52.45 inference(quant_inst,[status(thm)],[])).
% 80.16/52.45 tff(27436,plain,
% 80.16/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s12, s13))),
% 80.16/52.45 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 80.16/52.45 tff(27437,plain,
% 80.16/52.45 ($false),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27436, 481, 27429, 27415, 27430])).
% 80.16/52.45 tff(27438,plain,((~node18(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13))), inference(lemma,lemma(discharge,[]))).
% 80.16/52.45 tff(27439,plain,
% 80.16/52.45 (~node18(c_e_h_1, c_f, s12, s13)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27438, 27415, 27429])).
% 80.16/52.45 tff(27440,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_f, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_f, s12, s13))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27441,plain,
% 80.16/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_f, s12, s13))),
% 80.16/52.45 inference(quant_inst,[status(thm)],[])).
% 80.16/52.45 tff(27442,plain,
% 80.16/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_f, s12, s13)),
% 80.16/52.45 inference(modus_ponens,[status(thm)],[27441, 27440])).
% 80.16/52.45 tff(27443,plain,
% 80.16/52.45 (node19(c_e_h_1, c_f, s12, s13)),
% 80.16/52.45 inference(unit_resolution,[status(thm)],[27442, 494, 8278])).
% 80.16/52.45 tff(27444,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27445,plain,
% 80.16/52.45 ((node17(c_e_h_1, c_f, s12) | node18(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13))) <=> ((~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12))),
% 80.16/52.45 inference(rewrite,[status(thm)],[])).
% 80.16/52.45 tff(27446,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s12) | node18(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12)))),
% 80.16/52.45 inference(monotonicity,[status(thm)],[27445])).
% 80.16/52.45 tff(27447,plain,
% 80.16/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s12) | node18(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(transitivity,[status(thm)],[27446, 27444])).
% 80.19/52.45 tff(27448,plain,
% 80.19/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s12) | node18(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))),
% 80.19/52.45 inference(quant_inst,[status(thm)],[])).
% 80.19/52.45 tff(27449,plain,
% 80.19/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s12, s13)) | node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(modus_ponens,[status(thm)],[27448, 27447])).
% 80.19/52.45 tff(27450,plain,
% 80.19/52.45 (node18(c_e_h_1, c_f, s12, s13) | node17(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27449, 508, 27443])).
% 80.19/52.45 tff(27451,plain,
% 80.19/52.45 (node17(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27450, 27439])).
% 80.19/52.45 tff(27452,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.19/52.45 tff(27453,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27454,plain,
% 80.19/52.45 (((~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12))) <=> ((~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27455,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(monotonicity,[status(thm)],[27454])).
% 80.19/52.45 tff(27456,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(transitivity,[status(thm)],[27455, 27453])).
% 80.19/52.45 tff(27457,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(quant_inst,[status(thm)],[])).
% 80.19/52.45 tff(27458,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(modus_ponens,[status(thm)],[27457, 27456])).
% 80.19/52.45 tff(27459,plain,
% 80.19/52.45 ((~node17(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27458, 541, 27452])).
% 80.19/52.45 tff(27460,plain,
% 80.19/52.45 (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27459, 27451])).
% 80.19/52.45 tff(27461,assumption,(node15(c_e_h_1, c_f, s12, s13)), introduced(assumption)).
% 80.19/52.45 tff(27462,plain,
% 80.19/52.45 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27463,plain,
% 80.19/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(quant_inst,[status(thm)],[])).
% 80.19/52.45 tff(27464,plain,
% 80.19/52.45 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 80.19/52.45 tff(27465,plain,
% 80.19/52.45 ($false),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27464, 612, 27429, 27415, 27461])).
% 80.19/52.45 tff(27466,plain,((~node15(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.45 tff(27467,plain,
% 80.19/52.45 (~node15(c_e_h_1, c_f, s12, s13)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27466, 27415, 27429])).
% 80.19/52.45 tff(27468,assumption,(node17(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.19/52.45 tff(27469,assumption,(node16(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.19/52.45 tff(27470,plain,
% 80.19/52.45 ((~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27458, 541, 27468])).
% 80.19/52.45 tff(27471,plain,
% 80.19/52.45 (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27470, 27452])).
% 80.19/52.45 tff(27472,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27473,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(quant_inst,[status(thm)],[])).
% 80.19/52.45 tff(27474,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 80.19/52.45 tff(27475,plain,
% 80.19/52.45 (m_c_h_element_v_in1(c_e_h_1, c_f, s12) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27474, 559, 27469])).
% 80.19/52.45 tff(27476,plain,
% 80.19/52.45 ($false),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27475, 27471, 27452])).
% 80.19/52.45 tff(27477,plain,(m_c_h_element_v_in2(c_e_h_1, c_f, s12) | (~node16(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.45 tff(27478,plain,
% 80.19/52.45 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27477, 27469, 27468])).
% 80.19/52.45 tff(27479,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27480,plain,
% 80.19/52.45 ((m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27481,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12))))),
% 80.19/52.45 inference(monotonicity,[status(thm)],[27480])).
% 80.19/52.45 tff(27482,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(transitivity,[status(thm)],[27481, 27479])).
% 80.19/52.45 tff(27483,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(quant_inst,[status(thm)],[])).
% 80.19/52.45 tff(27484,plain,
% 80.19/52.45 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12))),
% 80.19/52.45 inference(modus_ponens,[status(thm)],[27483, 27482])).
% 80.19/52.45 tff(27485,plain,
% 80.19/52.45 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27484, 1172, 27468])).
% 80.19/52.45 tff(27486,plain,
% 80.19/52.45 (m_c_h_element_v_in1(c_e_h_1, c_f, s12)),
% 80.19/52.45 inference(unit_resolution,[status(thm)],[27485, 27478])).
% 80.19/52.45 tff(27487,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27488,plain,
% 80.19/52.45 (((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12))) <=> ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)))),
% 80.19/52.45 inference(rewrite,[status(thm)],[])).
% 80.19/52.45 tff(27489,plain,
% 80.19/52.45 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12))))),
% 80.19/52.46 inference(monotonicity,[status(thm)],[27488])).
% 80.19/52.46 tff(27490,plain,
% 80.19/52.46 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)))),
% 80.19/52.46 inference(transitivity,[status(thm)],[27489, 27487])).
% 80.19/52.46 tff(27491,plain,
% 80.19/52.46 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27492,plain,
% 80.19/52.46 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12))),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 80.19/52.46 tff(27493,plain,
% 80.19/52.46 ((~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12))),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27492, 1192, 27469])).
% 80.19/52.46 tff(27494,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27493, 27486, 27478])).
% 80.19/52.46 tff(27495,plain,((~node16(c_e_h_1, c_f, s12)) | (~node17(c_e_h_1, c_f, s12))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27496,plain,
% 80.19/52.46 (~node16(c_e_h_1, c_f, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27495, 27451])).
% 80.19/52.46 tff(27497,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27498,plain,
% 80.19/52.46 ((node16(c_e_h_1, c_f, s12) | node14(c_e_h_1, c_f, s12, s13) | node15(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13))) <=> (node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27499,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s12) | node14(c_e_h_1, c_f, s12, s13) | node15(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12)))),
% 80.19/52.46 inference(monotonicity,[status(thm)],[27498])).
% 80.19/52.46 tff(27500,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s12) | node14(c_e_h_1, c_f, s12, s13) | node15(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12))),
% 80.19/52.46 inference(transitivity,[status(thm)],[27499, 27497])).
% 80.19/52.46 tff(27501,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s12) | node14(c_e_h_1, c_f, s12, s13) | node15(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27502,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | (~node19(c_e_h_1, c_f, s12, s13)) | node16(c_e_h_1, c_f, s12)),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 80.19/52.46 tff(27503,plain,
% 80.19/52.46 (node15(c_e_h_1, c_f, s12, s13) | node14(c_e_h_1, c_f, s12, s13) | node16(c_e_h_1, c_f, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27502, 594, 27443])).
% 80.19/52.46 tff(27504,plain,
% 80.19/52.46 (node14(c_e_h_1, c_f, s12, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27503, 27496, 27467])).
% 80.19/52.46 tff(27505,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.19/52.46 tff(27506,assumption,(node14(c_e_h_1, c_f, s12, s13)), introduced(assumption)).
% 80.19/52.46 tff(27507,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27508,plain,
% 80.19/52.46 (((~node14(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27509,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13))))),
% 80.19/52.46 inference(monotonicity,[status(thm)],[27508])).
% 80.19/52.46 tff(27510,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.19/52.46 inference(transitivity,[status(thm)],[27509, 27507])).
% 80.19/52.46 tff(27511,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27512,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node14(c_e_h_1, c_f, s12, s13))),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27511, 27510])).
% 80.19/52.46 tff(27513,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27512, 575, 27415, 27506, 27505])).
% 80.19/52.46 tff(27514,plain,((~node14(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s12)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27515,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27514, 27504, 27460, 27415])).
% 80.19/52.46 tff(27516,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s12)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27517,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27516, 27428, 27420, 27415])).
% 80.19/52.46 tff(27518,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | node20(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27519,plain,
% 80.19/52.46 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27518, 27418, 17539, 27415])).
% 80.19/52.46 tff(27520,plain,
% 80.19/52.46 (node20(c_e_h_1, c_i, s10)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[8394, 27519, 7993])).
% 80.19/52.46 tff(27521,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[8398, 22, 27520, 8079])).
% 80.19/52.46 tff(27522,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27523,plain,
% 80.19/52.46 (~m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27522, 27414, 7993, 17539, 8075])).
% 80.19/52.46 tff(27524,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.19/52.46 tff(27525,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s13)), introduced(assumption)).
% 80.19/52.46 tff(27526,plain,
% 80.19/52.46 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27527,plain,
% 80.19/52.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27528,plain,
% 80.19/52.46 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 80.19/52.46 tff(27529,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27528, 397, 27525, 27524])).
% 80.19/52.46 tff(27530,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27531,plain,
% 80.19/52.46 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27530, 27523])).
% 80.19/52.46 tff(27532,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.19/52.46 tff(27533,assumption,(node20(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.19/52.46 tff(27534,plain,
% 80.19/52.46 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s13))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27535,plain,
% 80.19/52.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_q, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s13))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27536,plain,
% 80.19/52.46 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_q, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27535, 27534])).
% 80.19/52.46 tff(27537,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27536, 22, 27533, 27532])).
% 80.19/52.46 tff(27538,plain,(m_and_h_gate_v_in1(c_e_h_1, c_q, s13) | (~node20(c_e_h_1, c_q, s13))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27539,plain,
% 80.19/52.46 (~node20(c_e_h_1, c_q, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27538, 27531])).
% 80.19/52.46 tff(27540,assumption,(~node20(c_e_h_1, c_q, s13)), introduced(assumption)).
% 80.19/52.46 tff(27541,assumption,(node21(c_e_h_1, c_q, s13, s14)), introduced(assumption)).
% 80.19/52.46 tff(27542,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14)))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27543,plain,
% 80.19/52.46 ((node20(c_e_h_1, c_q, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s13, s14))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14)))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27544,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14))))),
% 80.19/52.46 inference(monotonicity,[status(thm)],[27543])).
% 80.19/52.46 tff(27545,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14)))),
% 80.19/52.46 inference(transitivity,[status(thm)],[27544, 27542])).
% 80.19/52.46 tff(27546,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_q, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node21(c_e_h_1, c_q, s13, s14)))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27547,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13) | (~node21(c_e_h_1, c_q, s13, s14))),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 80.19/52.46 tff(27548,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27547, 348, 25999, 27541, 27540])).
% 80.19/52.46 tff(27549,plain,((~node21(c_e_h_1, c_q, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_q, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27550,plain,
% 80.19/52.46 (~node21(c_e_h_1, c_q, s13, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27549, 25999, 27540])).
% 80.19/52.46 tff(27551,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_q, s13, s14) | node22(c_e_h_1, c_q, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_q, s13, s14) | node22(c_e_h_1, c_q, s13, s14))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27552,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_q, s13, s14) | node22(c_e_h_1, c_q, s13, s14))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27553,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_q, s13, s14) | node22(c_e_h_1, c_q, s13, s14)),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27552, 27551])).
% 80.19/52.46 tff(27554,plain,
% 80.19/52.46 (node21(c_e_h_1, c_q, s13, s14) | node22(c_e_h_1, c_q, s13, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27553, 383, 8985])).
% 80.19/52.46 tff(27555,plain,
% 80.19/52.46 (node22(c_e_h_1, c_q, s13, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27554, 27550])).
% 80.19/52.46 tff(27556,plain,
% 80.19/52.46 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))),
% 80.19/52.46 inference(rewrite,[status(thm)],[])).
% 80.19/52.46 tff(27557,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13))),
% 80.19/52.46 inference(quant_inst,[status(thm)],[])).
% 80.19/52.46 tff(27558,plain,
% 80.19/52.46 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~node22(c_e_h_1, c_q, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.19/52.46 inference(modus_ponens,[status(thm)],[27557, 27556])).
% 80.19/52.46 tff(27559,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27558, 437, 25999, 26983, 27555])).
% 80.19/52.46 tff(27560,plain,((~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | m_and_h_gate_v_out(c_e_h_1, c_q, s13) | node20(c_e_h_1, c_q, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27561,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27560, 27539, 26983])).
% 80.19/52.46 tff(27562,plain,
% 80.19/52.46 (~m_cell_v_ack(c_e_h_2, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25854, 27561])).
% 80.19/52.46 tff(27563,plain,
% 80.19/52.46 (m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25845, 27562])).
% 80.19/52.46 tff(27564,plain,
% 80.19/52.46 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27341, 25308, 21061, 21069, 22082, 18547, 12656, 8001, 12654, 21070, 22081, 8081, 8193, 21071, 17802, 15983, 15780, 18685, 8037, 21019, 21902])).
% 80.19/52.46 tff(27565,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25346, 25308])).
% 80.19/52.46 tff(27566,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25836, 27565, 25828, 25811])).
% 80.19/52.46 tff(27567,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25419, 27566, 27564])).
% 80.19/52.46 tff(27568,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node26(s10) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27569,plain,
% 80.19/52.46 (m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27568, 27563, 27412, 21061, 18758, 22082, 18547, 12656, 8001, 12654, 21070, 22081, 26886, 8191, 21071, 26899, 15983, 17782, 26980, 26982, 26965, 26966])).
% 80.19/52.46 tff(27570,plain,
% 80.19/52.46 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25339, 27569, 12655])).
% 80.19/52.46 tff(27571,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[25258, 27570])).
% 80.19/52.46 tff(27572,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[22074, 27571, 26980, 26966, 21750])).
% 80.19/52.46 tff(27573,plain,
% 80.19/52.46 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[22078, 7347, 27572])).
% 80.19/52.46 tff(27574,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18313, 12653, 18273, 18373])).
% 80.19/52.46 tff(27575,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18387, 3886, 27574])).
% 80.19/52.46 tff(27576,plain,
% 80.19/52.46 (~node9(c_e_h_1, c_m, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18391, 238, 27575])).
% 80.19/52.46 tff(27577,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18463, 27186])).
% 80.19/52.46 tff(27578,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[26979, 27577, 26891, 27576, 27574])).
% 80.19/52.46 tff(27579,plain,
% 80.19/52.46 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18690, 27578])).
% 80.19/52.46 tff(27580,plain,
% 80.19/52.46 (~node20(c_e_h_1, c_r, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18682, 27579])).
% 80.19/52.46 tff(27581,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18674, 27580, 18646])).
% 80.19/52.46 tff(27582,plain,
% 80.19/52.46 (node20(c_e_h_1, c_r, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27177, 27581, 27160])).
% 80.19/52.46 tff(27583,plain,
% 80.19/52.46 (m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27074, 334, 27582])).
% 80.19/52.46 tff(27584,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18422, 27576, 26891])).
% 80.19/52.46 tff(27585,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[20765, 27584])).
% 80.19/52.46 tff(27586,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[26897, 8193, 18273, 8081, 18282])).
% 80.19/52.46 tff(27587,plain,
% 80.19/52.46 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[21045, 27586, 27585, 21019])).
% 80.19/52.46 tff(27588,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[21939, 3886, 27587])).
% 80.19/52.46 tff(27589,plain,
% 80.19/52.46 (~node9(c_e_h_1, c_m, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[21943, 238, 27588])).
% 80.19/52.46 tff(27590,plain,
% 80.19/52.46 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[21963, 27589, 27578])).
% 80.19/52.46 tff(27591,plain,
% 80.19/52.46 ($false),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27070, 7347, 27590, 27583])).
% 80.19/52.46 tff(27592,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.46 tff(27593,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[27592, 26965, 8191, 18646, 18273, 26886, 18282])).
% 80.19/52.46 tff(27594,plain,
% 80.19/52.46 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18690, 26980])).
% 80.19/52.46 tff(27595,plain,
% 80.19/52.46 (~node20(c_e_h_1, c_r, s14)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18682, 27594])).
% 80.19/52.46 tff(27596,plain,
% 80.19/52.46 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18674, 27595, 18646])).
% 80.19/52.46 tff(27597,plain,
% 80.19/52.46 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18720, 27596])).
% 80.19/52.46 tff(27598,plain,
% 80.19/52.46 (~node24(s15)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18724, 9500, 27597])).
% 80.19/52.46 tff(27599,plain,
% 80.19/52.46 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)),
% 80.19/52.46 inference(unit_resolution,[status(thm)],[18541, 7347, 26891])).
% 80.19/52.47 tff(27600,plain,
% 80.19/52.47 (~node20(c_e_h_1, c_r, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[18545, 334, 27599])).
% 80.19/52.47 tff(27601,plain,
% 80.19/52.47 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[18747, 18646])).
% 80.19/52.47 tff(27602,plain,
% 80.19/52.47 (~node24(s14)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[18755, 27601])).
% 80.19/52.47 tff(27603,plain,
% 80.19/52.47 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[18553, 26886])).
% 80.19/52.47 tff(27604,plain,
% 80.19/52.47 (~node20(c_e_h_1, c_r, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[18561, 27603])).
% 80.19/52.47 tff(27605,plain,
% 80.19/52.47 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22037, 26966, 21750, 26980])).
% 80.19/52.47 tff(27606,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22086, 27605])).
% 80.19/52.47 tff(27607,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s14)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21906, 26980])).
% 80.19/52.47 tff(27608,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21935, 26966, 21750, 27607])).
% 80.19/52.47 tff(27609,plain,
% 80.19/52.47 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21939, 3886, 26966])).
% 80.19/52.47 tff(27610,plain,
% 80.19/52.47 (~node9(c_e_h_1, c_m, s14)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21943, 238, 27609])).
% 80.19/52.47 tff(27611,plain,
% 80.19/52.47 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21963, 27610, 26980])).
% 80.19/52.47 tff(27612,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21968, 27611])).
% 80.19/52.47 tff(27613,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22005, 27571, 27612, 27608])).
% 80.19/52.47 tff(27614,plain,
% 80.19/52.47 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22114, 27613, 21067, 27606])).
% 80.19/52.47 tff(27615,plain,
% 80.19/52.47 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22118, 3886, 27614])).
% 80.19/52.47 tff(27616,plain,
% 80.19/52.47 (~node9(c_e_h_1, c_m, s17)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22126, 27615])).
% 80.19/52.47 tff(27617,plain,
% 80.19/52.47 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22154, 27616, 27572])).
% 80.19/52.47 tff(27618,plain,
% 80.19/52.47 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22162, 27617])).
% 80.19/52.47 tff(27619,plain,
% 80.19/52.47 (~node20(c_e_h_1, c_r, s18)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[22170, 27618])).
% 80.19/52.47 tff(27620,plain,
% 80.19/52.47 (node20(c_e_h_1, c_r, s17)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[25225, 27619, 21070, 21061, 22082, 21071, 18547, 22081, 27604, 18758, 27602, 22080, 27600, 27598, 27593, 21083])).
% 80.19/52.47 tff(27621,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[25229, 334, 27620, 27573])).
% 80.19/52.47 tff(27622,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | (~until27(s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_q, s13) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s7) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27623,plain,
% 80.19/52.47 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~until27(s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_q, s13) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | m_or_h_gate_v_out(c_e_h_1, c_g, s9) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27622, 21900, 21881, 26884])).
% 80.19/52.47 tff(27624,plain,
% 80.19/52.47 (m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27623, 26883, 12655, 12654, 26770, 26767, 26766, 17541, 26757, 20724, 17780, 26764, 26760, 26749, 26744, 26740, 26712, 26743, 26720, 26714, 26523, 26601, 6345, 26692, 26647, 20743])).
% 80.19/52.47 tff(27625,plain,
% 80.19/52.47 (m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20585, 27624])).
% 80.19/52.47 tff(27626,plain,
% 80.19/52.47 (m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20577, 27625, 20557])).
% 80.19/52.47 tff(27627,plain,
% 80.19/52.47 (m_cell_v_ack(c_e_h_2, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20303, 1820, 27626])).
% 80.19/52.47 tff(27628,plain,
% 80.19/52.47 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20262, 397, 26714])).
% 80.19/52.47 tff(27629,plain,
% 80.19/52.47 (~node20(c_e_h_1, c_q, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20266, 22, 27628])).
% 80.19/52.47 tff(27630,plain,
% 80.19/52.47 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20290, 27629, 26633])).
% 80.19/52.47 tff(27631,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20299, 27630, 27627])).
% 80.19/52.47 tff(27632,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s7) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27633,plain,
% 80.19/52.47 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27632, 26471, 12655, 12654, 26523, 26601, 20557, 15878, 20035])).
% 80.19/52.47 tff(27634,plain,
% 80.19/52.47 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27008, 27633])).
% 80.19/52.47 tff(27635,plain,
% 80.19/52.47 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27636,plain,
% 80.19/52.47 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11))),
% 80.19/52.47 inference(quant_inst,[status(thm)],[])).
% 80.19/52.47 tff(27637,plain,
% 80.19/52.47 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.47 inference(modus_ponens,[status(thm)],[27636, 27635])).
% 80.19/52.47 tff(27638,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27637, 7440, 20839, 20824])).
% 80.19/52.47 tff(27639,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s11) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27640,plain,
% 80.19/52.47 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27639, 27634])).
% 80.19/52.47 tff(27641,plain,
% 80.19/52.47 (m_user_v_req(c_e_h_1, c_u, s9)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[25721, 27633])).
% 80.19/52.47 tff(27642,plain,
% 80.19/52.47 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27010, 27641])).
% 80.19/52.47 tff(27643,plain,
% 80.19/52.47 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[9490, 26616])).
% 80.19/52.47 tff(27644,plain,
% 80.19/52.47 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[21004, 27643, 27642])).
% 80.19/52.47 tff(27645,plain,
% 80.19/52.47 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20978, 27644])).
% 80.19/52.47 tff(27646,plain,
% 80.19/52.47 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20970, 27645, 27634])).
% 80.19/52.47 tff(27647,plain,
% 80.19/52.47 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20944, 27646])).
% 80.19/52.47 tff(27648,plain,
% 80.19/52.47 (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[15949, 26602])).
% 80.19/52.47 tff(27649,plain,
% 80.19/52.47 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[15941, 27648, 15878])).
% 80.19/52.47 tff(27650,plain,
% 80.19/52.47 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20262, 397, 27649])).
% 80.19/52.47 tff(27651,plain,
% 80.19/52.47 (~node20(c_e_h_1, c_q, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20266, 22, 27650])).
% 80.19/52.47 tff(27652,plain,
% 80.19/52.47 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20290, 27651, 26633])).
% 80.19/52.47 tff(27653,plain,
% 80.19/52.47 (~m_cell_v_ack(c_e_h_2, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20299, 27652])).
% 80.19/52.47 tff(27654,plain,
% 80.19/52.47 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20785, 27653])).
% 80.19/52.47 tff(27655,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s11)), introduced(assumption)).
% 80.19/52.47 tff(27656,plain,
% 80.19/52.47 (m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[8327, 27059, 8080])).
% 80.19/52.47 tff(27657,plain,
% 80.19/52.47 (m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[17964, 27656, 8081])).
% 80.19/52.47 tff(27658,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27659,plain,
% 80.19/52.47 (((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27660,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12))))),
% 80.19/52.47 inference(monotonicity,[status(thm)],[27659])).
% 80.19/52.47 tff(27661,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(transitivity,[status(thm)],[27660, 27658])).
% 80.19/52.47 tff(27662,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12))),
% 80.19/52.47 inference(quant_inst,[status(thm)],[])).
% 80.19/52.47 tff(27663,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node21(c_e_h_1, c_c, s11, s12))),
% 80.19/52.47 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 80.19/52.47 tff(27664,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27663, 7190, 27655, 20809, 20792, 20831])).
% 80.19/52.47 tff(27665,plain,((~node21(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27666,plain,
% 80.19/52.47 (~node21(c_e_h_1, c_c, s11, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27665, 20792, 20831, 27655])).
% 80.19/52.47 tff(27667,plain,
% 80.19/52.47 (node22(c_e_h_1, c_c, s11, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20819, 27666])).
% 80.19/52.47 tff(27668,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27669,plain,
% 80.19/52.47 ((m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27670,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12))))),
% 80.19/52.47 inference(monotonicity,[status(thm)],[27669])).
% 80.19/52.47 tff(27671,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)))),
% 80.19/52.47 inference(transitivity,[status(thm)],[27670, 27668])).
% 80.19/52.47 tff(27672,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 80.19/52.47 inference(quant_inst,[status(thm)],[])).
% 80.19/52.47 tff(27673,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~node22(c_e_h_1, c_c, s11, s12))),
% 80.19/52.47 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 80.19/52.47 tff(27674,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27673, 6905, 17924, 20801, 20792])).
% 80.19/52.47 tff(27675,plain,((~node22(c_e_h_1, c_c, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27676,plain,
% 80.19/52.47 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27675, 27667, 20792])).
% 80.19/52.47 tff(27677,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[17972, 27676, 27657])).
% 80.19/52.47 tff(27678,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27679,plain,
% 80.19/52.47 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27678, 8080, 8081, 20831, 27655])).
% 80.19/52.47 tff(27680,plain,
% 80.19/52.47 (m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20936, 27679, 20865, 20920])).
% 80.19/52.47 tff(27681,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20907, 27680, 20901])).
% 80.19/52.47 tff(27682,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27683,plain,
% 80.19/52.47 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27682, 27654, 12654, 27647, 26622, 27640, 26643])).
% 80.19/52.47 tff(27684,plain,
% 80.19/52.47 (m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[17964, 8192, 8081])).
% 80.19/52.47 tff(27685,plain,
% 80.19/52.47 (m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[17972, 27684])).
% 80.19/52.47 tff(27686,plain,
% 80.19/52.47 (~node22(c_e_h_1, c_c, s11, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27675, 20792, 17924])).
% 80.19/52.47 tff(27687,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[20819, 27686, 27666])).
% 80.19/52.47 tff(27688,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27689,plain,
% 80.19/52.47 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27688, 27685, 27655, 20831])).
% 80.19/52.47 tff(27690,assumption,(~node14(c_e_h_1, c_e, s12, s13)), introduced(assumption)).
% 80.19/52.47 tff(27691,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27692,plain,
% 80.19/52.47 ((m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27693,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13))))),
% 80.19/52.47 inference(monotonicity,[status(thm)],[27692])).
% 80.19/52.47 tff(27694,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.47 inference(transitivity,[status(thm)],[27693, 27691])).
% 80.19/52.47 tff(27695,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)))),
% 80.19/52.47 inference(quant_inst,[status(thm)],[])).
% 80.19/52.47 tff(27696,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~node15(c_e_h_1, c_e, s12, s13))),
% 80.19/52.47 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 80.19/52.47 tff(27697,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27696, 20664, 8192, 8288, 8971])).
% 80.19/52.47 tff(27698,plain,((~node15(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27699,plain,
% 80.19/52.47 (~node15(c_e_h_1, c_e, s12, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27698, 8971, 8192])).
% 80.19/52.47 tff(27700,plain,
% 80.19/52.47 (node16(c_e_h_1, c_e, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[8311, 27699, 27690])).
% 80.19/52.47 tff(27701,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27702,plain,
% 80.19/52.47 ((m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27703,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)))),
% 80.19/52.47 inference(monotonicity,[status(thm)],[27702])).
% 80.19/52.47 tff(27704,plain,
% 80.19/52.47 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 80.19/52.47 inference(transitivity,[status(thm)],[27703, 27701])).
% 80.19/52.47 tff(27705,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.47 inference(quant_inst,[status(thm)],[])).
% 80.19/52.47 tff(27706,plain,
% 80.19/52.47 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~node18(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.47 inference(modus_ponens,[status(thm)],[27705, 27704])).
% 80.19/52.47 tff(27707,plain,
% 80.19/52.47 ($false),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27706, 6627, 8192, 8262, 8971])).
% 80.19/52.47 tff(27708,plain,((~node18(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.47 tff(27709,plain,
% 80.19/52.47 (~node18(c_e_h_1, c_e, s12, s13)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[27708, 8971, 8192])).
% 80.19/52.47 tff(27710,plain,
% 80.19/52.47 (node17(c_e_h_1, c_e, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[8286, 27709])).
% 80.19/52.47 tff(27711,plain,
% 80.19/52.47 (m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 80.19/52.47 inference(unit_resolution,[status(thm)],[8325, 27710, 27700])).
% 80.19/52.47 tff(27712,plain,
% 80.19/52.47 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27713,plain,
% 80.19/52.47 (((~node16(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12)))),
% 80.19/52.47 inference(rewrite,[status(thm)],[])).
% 80.19/52.47 tff(27714,plain,
% 80.19/52.47 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12))))),
% 80.19/52.47 inference(monotonicity,[status(thm)],[27713])).
% 80.19/52.47 tff(27715,plain,
% 80.19/52.47 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12)))),
% 80.19/52.47 inference(transitivity,[status(thm)],[27714, 27712])).
% 80.19/52.47 tff(27716,plain,
% 80.19/52.47 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)))),
% 80.19/52.48 inference(quant_inst,[status(thm)],[])).
% 80.19/52.48 tff(27717,plain,
% 80.19/52.48 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node16(c_e_h_1, c_e, s12))),
% 80.19/52.48 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 80.19/52.48 tff(27718,plain,
% 80.19/52.48 ((~m_c_h_element_v_in2(c_e_h_1, c_e, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12))),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27717, 1192, 27700])).
% 80.19/52.48 tff(27719,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27718, 27711])).
% 80.19/52.48 tff(27720,plain,
% 80.19/52.48 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8337, 541, 27710])).
% 80.19/52.48 tff(27721,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27720, 27719, 27711])).
% 80.19/52.48 tff(27722,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | node14(c_e_h_1, c_e, s12, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27723,plain,
% 80.19/52.48 (node14(c_e_h_1, c_e, s12, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27722, 8192, 8971])).
% 80.19/52.48 tff(27724,plain,
% 80.19/52.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.48 inference(rewrite,[status(thm)],[])).
% 80.19/52.48 tff(27725,plain,
% 80.19/52.48 (((~node14(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.48 inference(rewrite,[status(thm)],[])).
% 80.19/52.48 tff(27726,plain,
% 80.19/52.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13))))),
% 80.19/52.48 inference(monotonicity,[status(thm)],[27725])).
% 80.19/52.48 tff(27727,plain,
% 80.19/52.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13)))),
% 80.19/52.48 inference(transitivity,[status(thm)],[27726, 27724])).
% 80.19/52.48 tff(27728,plain,
% 80.19/52.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s13))),
% 80.19/52.48 inference(quant_inst,[status(thm)],[])).
% 80.19/52.48 tff(27729,plain,
% 80.19/52.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)) | (~node14(c_e_h_1, c_e, s12, s13))),
% 80.19/52.48 inference(modus_ponens,[status(thm)],[27728, 27727])).
% 80.19/52.48 tff(27730,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27729, 20645, 8295, 8971, 20793])).
% 80.19/52.48 tff(27731,plain,((~node14(c_e_h_1, c_e, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s12))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27732,plain,
% 80.19/52.48 (~m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27731, 27723, 8971])).
% 80.19/52.48 tff(27733,plain,
% 80.19/52.48 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12))),
% 80.19/52.48 inference(rewrite,[status(thm)],[])).
% 80.19/52.48 tff(27734,plain,
% 80.19/52.48 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12))),
% 80.19/52.48 inference(quant_inst,[status(thm)],[])).
% 80.19/52.48 tff(27735,plain,
% 80.19/52.48 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s12)) | m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(modus_ponens,[status(thm)],[27734, 27733])).
% 80.19/52.48 tff(27736,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27735, 17917, 27732, 27689])).
% 80.19/52.48 tff(27737,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27738,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27737, 27683, 27640, 26643, 26622])).
% 80.19/52.48 tff(27739,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18463, 27738])).
% 80.19/52.48 tff(27740,plain,
% 80.19/52.48 (m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7591, 7503, 7502])).
% 80.19/52.48 tff(27741,plain,
% 80.19/52.48 (m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7500, 27740])).
% 80.19/52.48 tff(27742,plain,
% 80.19/52.48 (m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17714, 7503, 15780])).
% 80.19/52.48 tff(27743,plain,
% 80.19/52.48 (m_and_h_gate_v_out(c_e_h_1, c_c, s4)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[15663, 27742, 15647])).
% 80.19/52.48 tff(27744,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18212, 18193, 18190, 7470])).
% 80.19/52.48 tff(27745,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27746,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27745, 27743, 27741, 6658, 15577])).
% 80.19/52.48 tff(27747,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s3) | node20(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s6)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27748,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27747, 8619, 15577, 6658, 15780, 15647])).
% 80.19/52.48 tff(27749,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8639, 27748])).
% 80.19/52.48 tff(27750,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7624, 8625, 7606])).
% 80.19/52.48 tff(27751,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7632, 27750])).
% 80.19/52.48 tff(27752,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7707, 27751, 27748])).
% 80.19/52.48 tff(27753,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16332, 27752])).
% 80.19/52.48 tff(27754,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18008, 27753, 27749, 8659])).
% 80.19/52.48 tff(27755,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16424, 27754])).
% 80.19/52.48 tff(27756,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16432, 27755])).
% 80.19/52.48 tff(27757,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16455, 27756, 8744])).
% 80.19/52.48 tff(27758,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7500, 8625])).
% 80.19/52.48 tff(27759,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8699, 5130, 5840, 7588, 5121])).
% 80.19/52.48 tff(27760,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[5951, 3886, 8658])).
% 80.19/52.48 tff(27761,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[5955, 238, 27760])).
% 80.19/52.48 tff(27762,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s6)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[5258, 5455, 8629])).
% 80.19/52.48 tff(27763,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s7)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[5622, 27762, 8696])).
% 80.19/52.48 tff(27764,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[5976, 27763, 27761])).
% 80.19/52.48 tff(27765,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16326, 27764])).
% 80.19/52.48 tff(27766,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16363, 27765, 16335, 27759])).
% 80.19/52.48 tff(27767,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8707, 3886, 27759])).
% 80.19/52.48 tff(27768,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8711, 238, 27767])).
% 80.19/52.48 tff(27769,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8737, 27764, 27768])).
% 80.19/52.48 tff(27770,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16308, 27769])).
% 80.19/52.48 tff(27771,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16400, 27770, 27766, 16373, 16314])).
% 80.19/52.48 tff(27772,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s3) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s6) | m_and_h_gate_v_out(c_e_h_1, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27773,plain,
% 80.19/52.48 ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s8)) | m_c_h_element_v_in2(c_e_h_1, c_e, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27772, 5120, 4882])).
% 80.19/52.48 tff(27774,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27773, 27753, 16373, 8618, 27758])).
% 80.19/52.48 tff(27775,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17503, 27774])).
% 80.19/52.48 tff(27776,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17511, 27775])).
% 80.19/52.48 tff(27777,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17537, 27776, 27757])).
% 80.19/52.48 tff(27778,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16463, 27757])).
% 80.19/52.48 tff(27779,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18271, 27778, 27774, 18247])).
% 80.19/52.48 tff(27780,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18364, 27779, 18240, 18239, 27777])).
% 80.19/52.48 tff(27781,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18424, 27777, 8001, 16373, 8744, 27754, 8037])).
% 80.19/52.48 tff(27782,plain,
% 80.19/52.48 (node9(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18444, 27781, 18228])).
% 80.19/52.48 tff(27783,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18452, 27782])).
% 80.19/52.48 tff(27784,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18456, 3886, 27783, 27780])).
% 80.19/52.48 tff(27785,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s7)) | node20(c_e_h_1, c_c, s3) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s5) | node20(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_i, s6) | node20(c_e_h_1, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27786,plain,
% 80.19/52.48 ((~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | node20(c_e_h_1, c_c, s3) | m_or_h_gate_v_out(c_e_h_1, c_g, s5) | node20(c_e_h_1, c_c, s5) | node20(c_e_h_1, c_c, s4) | node20(c_e_h_1, c_i, s6) | node20(c_e_h_1, c_i, s5)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27785, 5948, 5801])).
% 80.19/52.48 tff(27787,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27786, 27739, 26455, 26480, 26527, 26450, 26621, 26630, 26456, 26516, 26629, 26460])).
% 80.19/52.48 tff(27788,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18246, 26621])).
% 80.19/52.48 tff(27789,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18271, 27788, 26623, 26476])).
% 80.19/52.48 tff(27790,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18276, 3886, 27789])).
% 80.19/52.48 tff(27791,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18280, 238, 27790])).
% 80.19/52.48 tff(27792,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18399, 27791, 26479])).
% 80.19/52.48 tff(27793,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18541, 7347, 27792])).
% 80.19/52.48 tff(27794,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18545, 334, 27793])).
% 80.19/52.48 tff(27795,plain,
% 80.19/52.48 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20303, 1820, 27653])).
% 80.19/52.48 tff(27796,plain,
% 80.19/52.48 (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20577, 27795, 20557])).
% 80.19/52.48 tff(27797,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20585, 27796])).
% 80.19/52.48 tff(27798,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21017, 27683])).
% 80.19/52.48 tff(27799,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18424, 26621, 26480, 26479, 26630, 26456, 26461])).
% 80.19/52.48 tff(27800,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20765, 27799])).
% 80.19/52.48 tff(27801,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[12652, 26622])).
% 80.19/52.48 tff(27802,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18364, 27739, 26479, 27789, 27801])).
% 80.19/52.48 tff(27803,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21045, 27802, 27800, 27798])).
% 80.19/52.48 tff(27804,plain,
% 80.19/52.48 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18747, 26624])).
% 80.19/52.48 tff(27805,plain,
% 80.19/52.48 (~node24(s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18755, 27804])).
% 80.19/52.48 tff(27806,plain,
% 80.19/52.48 (~node24(s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[9505, 27643])).
% 80.19/52.48 tff(27807,plain,
% 80.19/52.48 (~node26(s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[12645, 27806])).
% 80.19/52.48 tff(27808,plain,
% 80.19/52.48 (xuntil28(s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17446, 26615])).
% 80.19/52.48 tff(27809,plain,
% 80.19/52.48 (until27(s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17451, 27808])).
% 80.19/52.48 tff(27810,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18764, 26479])).
% 80.19/52.48 tff(27811,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18771, 27810])).
% 80.19/52.48 tff(27812,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[17495, 26463, 26456])).
% 80.19/52.48 tff(27813,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21939, 3886, 27803])).
% 80.19/52.48 tff(27814,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21943, 238, 27813])).
% 80.19/52.48 tff(27815,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21963, 27814, 27787])).
% 80.19/52.48 tff(27816,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27070, 7347, 27815])).
% 80.19/52.48 tff(27817,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27074, 334, 27816])).
% 80.19/52.48 tff(27818,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27177, 27817, 26625])).
% 80.19/52.48 tff(27819,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25339, 12655, 25290])).
% 80.19/52.48 tff(27820,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27288, 7347, 22038])).
% 80.19/52.48 tff(27821,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s16)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27292, 334, 27820])).
% 80.19/52.48 tff(27822,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25231, 21067, 21061, 22082, 21071, 18547, 22081, 18563, 21069, 21068, 22080, 18587, 21062, 21070, 18713, 27821, 18685, 21902, 21901])).
% 80.19/52.48 tff(27823,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25258, 27822, 27819])).
% 80.19/52.48 tff(27824,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27825,plain,
% 80.19/52.48 (m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s15))),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27824, 21900, 21881])).
% 80.19/52.48 tff(27826,plain,
% 80.19/52.48 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27825, 27818, 12655, 21750, 26770, 27812, 27811, 27809, 27807, 27805, 26744, 27803, 27797, 27794, 27787, 26627])).
% 80.19/52.48 tff(27827,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25346, 27826])).
% 80.19/52.48 tff(27828,plain,
% 80.19/52.48 (~m_user_v_ack(c_e_h_1, c_u, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[24370, 27812])).
% 80.19/52.48 tff(27829,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18584, 27811, 27812])).
% 80.19/52.48 tff(27830,plain,
% 80.19/52.48 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[24387, 27829])).
% 80.19/52.48 tff(27831,plain,
% 80.19/52.48 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27021, 27830, 27633, 27828, 27643])).
% 80.19/52.48 tff(27832,plain,
% 80.19/52.48 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25809, 27831])).
% 80.19/52.48 tff(27833,plain,
% 80.19/52.48 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[16065, 26522])).
% 80.19/52.48 tff(27834,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7881, 20768, 7744])).
% 80.19/52.48 tff(27835,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7889, 27834])).
% 80.19/52.48 tff(27836,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7949, 27835, 7891])).
% 80.19/52.48 tff(27837,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18246, 27836])).
% 80.19/52.48 tff(27838,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18271, 27837, 18249, 17497])).
% 80.19/52.48 tff(27839,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18276, 3886, 27838])).
% 80.19/52.48 tff(27840,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18280, 238, 27839])).
% 80.19/52.48 tff(27841,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18399, 27840, 18282])).
% 80.19/52.48 tff(27842,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18541, 7347, 27841])).
% 80.19/52.48 tff(27843,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18545, 334, 27842])).
% 80.19/52.48 tff(27844,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[6489, 6423, 6435])).
% 80.19/52.48 tff(27845,plain,
% 80.19/52.48 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7956, 27844])).
% 80.19/52.48 tff(27846,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_i, s9)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7964, 27845])).
% 80.19/52.48 tff(27847,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7990, 27834, 27846])).
% 80.19/52.48 tff(27848,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[15949, 27847])).
% 80.19/52.48 tff(27849,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[15941, 27848, 15878])).
% 80.19/52.48 tff(27850,plain,
% 80.19/52.48 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20262, 397, 27849])).
% 80.19/52.48 tff(27851,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_q, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20266, 22, 27850])).
% 80.19/52.48 tff(27852,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20290, 27851, 20269])).
% 80.19/52.48 tff(27853,plain,
% 80.19/52.48 (~m_cell_v_ack(c_e_h_2, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20299, 27852])).
% 80.19/52.48 tff(27854,plain,
% 80.19/52.48 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20303, 1820, 27853])).
% 80.19/52.48 tff(27855,plain,
% 80.19/52.48 (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20577, 27854, 20557])).
% 80.19/52.48 tff(27856,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20585, 27855])).
% 80.19/52.48 tff(27857,plain,
% 80.19/52.48 (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[7998, 27847])).
% 80.19/52.48 tff(27858,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[8073, 27857, 27836])).
% 80.19/52.48 tff(27859,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18644, 27858, 18249, 18282, 27836, 9485, 17497])).
% 80.19/52.48 tff(27860,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18674, 27859, 26613])).
% 80.19/52.48 tff(27861,plain,
% 80.19/52.48 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27177, 27860, 27129])).
% 80.19/52.48 tff(27862,plain,
% 80.19/52.48 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18720, 27860])).
% 80.19/52.48 tff(27863,plain,
% 80.19/52.48 (~node24(s15)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18724, 9500, 27862])).
% 80.19/52.48 tff(27864,plain,
% 80.19/52.48 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18747, 27859])).
% 80.19/52.48 tff(27865,plain,
% 80.19/52.48 (~node24(s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18755, 27864])).
% 80.19/52.48 tff(27866,plain,
% 80.19/52.48 (~node24(s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[9505, 17540])).
% 80.19/52.48 tff(27867,plain,
% 80.19/52.48 (~node26(s10)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[12645, 27866])).
% 80.19/52.48 tff(27868,plain,
% 80.19/52.48 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18764, 18282])).
% 80.19/52.48 tff(27869,plain,
% 80.19/52.48 (~node20(c_e_h_1, c_r, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18771, 27868])).
% 80.19/52.48 tff(27870,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[12652, 27858])).
% 80.19/52.48 tff(27871,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18313, 27870, 18373, 27838])).
% 80.19/52.48 tff(27872,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18387, 3886, 27871])).
% 80.19/52.48 tff(27873,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18391, 238, 27872])).
% 80.19/52.48 tff(27874,plain,
% 80.19/52.48 (~m_cell_v_ack(c_e_h_2, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20075, 20269])).
% 80.19/52.48 tff(27875,plain,
% 80.19/52.48 (m_and_h_gate_v_in2(c_e_h_1, c_c, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[26642, 27874])).
% 80.19/52.48 tff(27876,plain,
% 80.19/52.48 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20785, 27853])).
% 80.19/52.48 tff(27877,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27682, 27876, 12654, 20920, 27858, 20831, 27875])).
% 80.19/52.48 tff(27878,plain,
% 80.19/52.48 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27737, 27877, 20831, 27875, 27858])).
% 80.19/52.48 tff(27879,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18463, 27878])).
% 80.19/52.48 tff(27880,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[26979, 27879, 27841, 27873, 27871])).
% 80.19/52.48 tff(27881,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21017, 27877])).
% 80.19/52.48 tff(27882,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18422, 27841, 27873])).
% 80.19/52.48 tff(27883,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20765, 27882])).
% 80.19/52.48 tff(27884,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18313, 12653, 18373, 18273])).
% 80.19/52.48 tff(27885,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18387, 3886, 27884])).
% 80.19/52.48 tff(27886,plain,
% 80.19/52.48 (~node9(c_e_h_1, c_m, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18391, 238, 27885])).
% 80.19/52.48 tff(27887,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18422, 26891, 27886])).
% 80.19/52.48 tff(27888,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[20765, 27887])).
% 80.19/52.48 tff(27889,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[26897, 8193, 18273, 18282, 8081])).
% 80.19/52.48 tff(27890,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[21045, 27889, 27888, 21019])).
% 80.19/52.48 tff(27891,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[25232, 27890, 21745, 21744, 21071, 21070, 18547, 27869, 22080, 21069, 21068, 21062, 18713, 21901, 21061, 27600, 21084])).
% 80.19/52.48 tff(27892,plain,
% 80.19/52.48 ($false),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[26979, 27891, 27577, 26891, 27886, 27884])).
% 80.19/52.48 tff(27893,plain,(m_c_h_element_v_in2(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | node20(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~until27(s11)) | node26(s10) | node24(s14) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.48 tff(27894,plain,
% 80.19/52.48 (m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[27893, 27865, 21744, 21071, 26744, 18547, 22080, 27867, 21745, 27863, 27861, 21750, 27856, 21084, 27881, 27858, 27838, 18282])).
% 80.19/52.48 tff(27895,plain,
% 80.19/52.48 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18463, 8260])).
% 80.19/52.48 tff(27896,plain,
% 80.19/52.48 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[18364, 27895, 18282, 18273, 18283])).
% 80.19/52.48 tff(27897,plain,
% 80.19/52.48 (m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.19/52.48 inference(unit_resolution,[status(thm)],[12652, 27896])).
% 80.19/52.48 tff(27898,plain,
% 80.19/52.48 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node18(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 80.19/52.48 inference(rewrite,[status(thm)],[])).
% 80.19/52.48 tff(27899,plain,
% 80.19/52.48 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node18(c_e_h_1, c_e, s11, s12)))),
% 80.19/52.49 inference(quant_inst,[status(thm)],[])).
% 80.19/52.49 tff(27900,plain,
% 80.19/52.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node18(c_e_h_1, c_e, s11, s12))),
% 80.19/52.49 inference(modus_ponens,[status(thm)],[27899, 27898])).
% 80.19/52.49 tff(27901,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27900, 6627, 8260, 8194, 8000])).
% 80.19/52.49 tff(27902,plain,((~node18(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27903,plain,
% 80.19/52.49 (~node18(c_e_h_1, c_e, s11, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27902, 27897, 8260])).
% 80.19/52.49 tff(27904,plain,
% 80.19/52.49 (node17(c_e_h_1, c_e, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8221, 27903])).
% 80.19/52.49 tff(27905,plain,
% 80.19/52.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s11) | (~node17(c_e_h_1, c_e, s11))),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17960, 1172, 8185])).
% 80.19/52.49 tff(27906,plain,
% 80.19/52.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27905, 27904])).
% 80.19/52.49 tff(27907,assumption,(node15(c_e_h_1, c_e, s11, s12)), introduced(assumption)).
% 80.19/52.49 tff(27908,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27909,plain,
% 80.19/52.49 ((m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node15(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27910,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node15(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12))))),
% 80.19/52.49 inference(monotonicity,[status(thm)],[27909])).
% 80.19/52.49 tff(27911,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node15(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12)))),
% 80.19/52.49 inference(transitivity,[status(thm)],[27910, 27908])).
% 80.19/52.49 tff(27912,plain,
% 80.19/52.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node15(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(quant_inst,[status(thm)],[])).
% 80.19/52.49 tff(27913,plain,
% 80.19/52.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11)) | (~node15(c_e_h_1, c_e, s11, s12))),
% 80.19/52.49 inference(modus_ponens,[status(thm)],[27912, 27911])).
% 80.19/52.49 tff(27914,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27913, 20664, 8260, 27907, 8000])).
% 80.19/52.49 tff(27915,plain,((~node15(c_e_h_1, c_e, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_out(c_e_h_1, c_e, s11))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27916,plain,
% 80.19/52.49 (~node15(c_e_h_1, c_e, s11, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27915, 27897, 8260])).
% 80.19/52.49 tff(27917,plain,
% 80.19/52.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27918,plain,
% 80.19/52.49 (((~node16(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27919,plain,
% 80.19/52.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11))))),
% 80.19/52.49 inference(monotonicity,[status(thm)],[27918])).
% 80.19/52.49 tff(27920,plain,
% 80.19/52.49 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(transitivity,[status(thm)],[27919, 27917])).
% 80.19/52.49 tff(27921,plain,
% 80.19/52.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(quant_inst,[status(thm)],[])).
% 80.19/52.49 tff(27922,plain,
% 80.19/52.49 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11))),
% 80.19/52.49 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 80.19/52.49 tff(27923,plain,
% 80.19/52.49 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | (~node16(c_e_h_1, c_e, s11))),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27922, 1192, 8185])).
% 80.19/52.49 tff(27924,plain,
% 80.19/52.49 (~node16(c_e_h_1, c_e, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27923, 27906])).
% 80.19/52.49 tff(27925,plain,
% 80.19/52.49 (node14(c_e_h_1, c_e, s11, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8235, 27924, 27916])).
% 80.19/52.49 tff(27926,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27927,plain,
% 80.19/52.49 (((~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s12)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(27928,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11))))),
% 80.19/52.49 inference(monotonicity,[status(thm)],[27927])).
% 80.19/52.49 tff(27929,plain,
% 80.19/52.49 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)))),
% 80.19/52.49 inference(transitivity,[status(thm)],[27928, 27926])).
% 80.19/52.49 tff(27930,plain,
% 80.19/52.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s12))),
% 80.19/52.49 inference(quant_inst,[status(thm)],[])).
% 80.19/52.49 tff(27931,plain,
% 80.19/52.49 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~node14(c_e_h_1, c_e, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s11))),
% 80.19/52.49 inference(modus_ponens,[status(thm)],[27930, 27929])).
% 80.19/52.49 tff(27932,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27931, 20645, 8260, 27925, 27906])).
% 80.19/52.49 tff(27933,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27934,plain,
% 80.19/52.49 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27933, 27878, 27894, 27838, 18282])).
% 80.19/52.49 tff(27935,plain,
% 80.19/52.49 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21045, 27934, 27883, 27881])).
% 80.19/52.49 tff(27936,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25232, 27935, 27880, 21745, 21744, 21071, 26744, 18547, 27869, 22080, 27867, 27865, 27863, 27861, 21750, 27856, 27843, 21084])).
% 80.19/52.49 tff(27937,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)) | node20(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~until27(s11)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s11)) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)) | m_and_h_gate_v_out(c_e_h_1, c_q, s11) | node20(c_e_h_1, c_r, s15) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)) | m_and_h_gate_v_out(c_e_h_1, c_r, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | m_and_h_gate_v_out(c_e_h_1, c_i, s8) | m_c_h_element_v_in1(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27938,plain,
% 80.19/52.49 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27937, 27817, 21083, 26770, 27812, 27809, 27833, 26479, 26519, 20557, 12654, 27640, 26633, 27647, 26623, 26616, 26476, 15878, 26482, 26474, 21067])).
% 80.19/52.49 tff(27939,plain,
% 80.19/52.49 (m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25258, 27938])).
% 80.19/52.49 tff(27940,plain,
% 80.19/52.49 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25408, 27939, 12654])).
% 80.19/52.49 tff(27941,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25419, 27940])).
% 80.19/52.49 tff(27942,plain,
% 80.19/52.49 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25836, 27941, 27832, 27827])).
% 80.19/52.49 tff(27943,plain,
% 80.19/52.49 (m_cell_v_ack(c_e_h_2, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25845, 27942])).
% 80.19/52.49 tff(27944,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25854, 27943])).
% 80.19/52.49 tff(27945,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26739, 26661, 26523, 16060, 6423])).
% 80.19/52.49 tff(27946,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8078, 8, 27945])).
% 80.19/52.49 tff(27947,plain,
% 80.19/52.49 (~m_c_h_element_v_in2(c_e_h_1, c_f, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15949, 7993])).
% 80.19/52.49 tff(27948,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15941, 27947, 15878])).
% 80.19/52.49 tff(27949,plain,
% 80.19/52.49 (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26691, 26661, 26523, 16060])).
% 80.19/52.49 tff(27950,plain,
% 80.19/52.49 (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26939, 27949, 26601, 26907])).
% 80.19/52.49 tff(27951,plain,
% 80.19/52.49 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26958, 27950])).
% 80.19/52.49 tff(27952,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27522, 27951, 27948, 7993, 27945])).
% 80.19/52.49 tff(27953,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27530, 27952])).
% 80.19/52.49 tff(27954,plain,
% 80.19/52.49 (~node20(c_e_h_1, c_q, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27538, 27953])).
% 80.19/52.49 tff(27955,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27560, 27954, 25999])).
% 80.19/52.49 tff(27956,plain,
% 80.19/52.49 (m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26882, 27955, 15878, 20035, 27947])).
% 80.19/52.49 tff(27957,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26776, 27956])).
% 80.19/52.49 tff(27958,plain,
% 80.19/52.49 (node20(c_e_h_1, c_i, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8394, 27957, 7993])).
% 80.19/52.49 tff(27959,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8398, 22, 27958, 27946])).
% 80.19/52.49 tff(27960,plain,(m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27961,plain,
% 80.19/52.49 (m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27960, 27944, 15878, 20035, 26602, 26601, 26600, 26523, 26522, 26519])).
% 80.19/52.49 tff(27962,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26653, 27961])).
% 80.19/52.49 tff(27963,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16007, 26517, 26521])).
% 80.19/52.49 tff(27964,plain,
% 80.19/52.49 (node20(c_e_h_1, c_c, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17756, 27962, 27963])).
% 80.19/52.49 tff(27965,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17828, 27964])).
% 80.19/52.49 tff(27966,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17721, 27965])).
% 80.19/52.49 tff(27967,plain,
% 80.19/52.49 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16094, 27966, 15281])).
% 80.19/52.49 tff(27968,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16100, 27967])).
% 80.19/52.49 tff(27969,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15278, 27968])).
% 80.19/52.49 tff(27970,plain,
% 80.19/52.49 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15417, 27969])).
% 80.19/52.49 tff(27971,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15409, 27970, 27966])).
% 80.19/52.49 tff(27972,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21212, 27971])).
% 80.19/52.49 tff(27973,plain,
% 80.19/52.49 (m_and_h_gate_v_in2(c_e_h_1, c_c, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21183, 18995])).
% 80.19/52.49 tff(27974,plain,
% 80.19/52.49 ((~node21(c_e_h_1, c_c, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8))),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21222, 27973])).
% 80.19/52.49 tff(27975,plain,
% 80.19/52.49 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27974, 27972, 26593])).
% 80.19/52.49 tff(27976,plain,
% 80.19/52.49 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17813, 27975])).
% 80.19/52.49 tff(27977,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21230, 6905, 26593, 27976, 27962])).
% 80.19/52.49 tff(27978,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(27979,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27978, 17900, 26493, 26513, 26506, 12654, 12655, 26499, 26488, 12656])).
% 80.19/52.49 tff(27980,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15380, 27979])).
% 80.19/52.49 tff(27981,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16181, 27980])).
% 80.19/52.49 tff(27982,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26569, 27981])).
% 80.19/52.49 tff(27983,plain,
% 80.19/52.49 (m_and_h_gate_v_out(c_e_h_1, c_c, s10) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26563, 26541])).
% 80.19/52.49 tff(27984,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27983, 27982, 17900])).
% 80.19/52.49 tff(27985,plain,
% 80.19/52.49 (~m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17845, 27984])).
% 80.19/52.49 tff(27986,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17862, 27985, 26482])).
% 80.19/52.49 tff(27987,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17952, 27986, 26480])).
% 80.19/52.49 tff(27988,plain,
% 80.19/52.49 (m_and_h_gate_v_in2(c_e_h_1, c_c, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26642, 26497])).
% 80.19/52.49 tff(27989,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27632, 26471, 12655, 12654, 26506, 26513, 26499, 26488, 26493])).
% 80.19/52.49 tff(27990,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27008, 27989])).
% 80.19/52.49 tff(27991,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27639, 27990])).
% 80.19/52.49 tff(27992,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25721, 27989])).
% 80.19/52.49 tff(27993,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27010, 27992])).
% 80.19/52.49 tff(27994,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21004, 27643, 27993])).
% 80.19/52.49 tff(27995,plain,
% 80.19/52.49 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20978, 27994])).
% 80.19/52.49 tff(27996,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20970, 27995, 27990])).
% 80.19/52.49 tff(27997,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20944, 27996])).
% 80.19/52.49 tff(27998,plain,
% 80.19/52.49 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16218, 27981])).
% 80.19/52.49 tff(27999,plain,
% 80.19/52.49 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16229, 27998])).
% 80.19/52.49 tff(28000,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16295, 27999])).
% 80.19/52.49 tff(28001,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16287, 28000, 14361, 14845])).
% 80.19/52.49 tff(28002,plain,
% 80.19/52.49 (~m_c_h_element_v_in1(c_e_h_1, c_f, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16251, 28001])).
% 80.19/52.49 tff(28003,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16242, 28002, 26488])).
% 80.19/52.49 tff(28004,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20262, 397, 28003])).
% 80.19/52.49 tff(28005,plain,
% 80.19/52.49 (~node20(c_e_h_1, c_q, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20266, 22, 28004])).
% 80.19/52.49 tff(28006,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20290, 28005, 26496])).
% 80.19/52.49 tff(28007,plain,
% 80.19/52.49 (~m_cell_v_ack(c_e_h_2, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20299, 28006])).
% 80.19/52.49 tff(28008,plain,
% 80.19/52.49 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[20785, 28007])).
% 80.19/52.49 tff(28009,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27682, 28008, 12654, 27997, 27987, 27991, 27988])).
% 80.19/52.49 tff(28010,plain,
% 80.19/52.49 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21017, 28009])).
% 80.19/52.49 tff(28011,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[18644, 27986, 26479, 26623, 27987, 26616, 26476])).
% 80.19/52.49 tff(28012,plain,
% 80.19/52.49 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[18246, 27986])).
% 80.19/52.49 tff(28013,plain,
% 80.19/52.49 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[18271, 28012, 26623, 26476])).
% 80.19/52.49 tff(28014,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21195, 27980])).
% 80.19/52.49 tff(28015,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15345, 27979])).
% 80.19/52.49 tff(28016,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15278, 28015])).
% 80.19/52.49 tff(28017,plain,
% 80.19/52.49 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15417, 28016])).
% 80.19/52.49 tff(28018,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15409, 28017, 27980])).
% 80.19/52.49 tff(28019,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21212, 28018])).
% 80.19/52.49 tff(28020,plain,
% 80.19/52.49 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27974, 28019, 27984])).
% 80.19/52.49 tff(28021,plain,
% 80.19/52.49 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[17813, 28020])).
% 80.19/52.49 tff(28022,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21230, 6905, 27984, 28021])).
% 80.19/52.49 tff(28023,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21265, 28022, 28014])).
% 80.19/52.49 tff(28024,plain,
% 80.19/52.49 (~node22(c_e_h_1, c_c, s6, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21487, 15772, 17727])).
% 80.19/52.49 tff(28025,plain,
% 80.19/52.49 (node21(c_e_h_1, c_c, s6, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16005, 28024])).
% 80.19/52.49 tff(28026,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21506, 28025, 17727, 21498])).
% 80.19/52.49 tff(28027,plain,
% 80.19/52.49 (node21(c_e_h_1, c_c, s5, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15791, 15779])).
% 80.19/52.49 tff(28028,plain,
% 80.19/52.49 (node20(c_e_h_1, c_c, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15786, 28027, 15772])).
% 80.19/52.49 tff(28029,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15768, 22, 28028])).
% 80.19/52.49 tff(28030,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15762, 28029])).
% 80.19/52.49 tff(28031,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s4)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15169, 28030])).
% 80.19/52.49 tff(28032,plain,
% 80.19/52.49 (m_user_v_req(c_e_h_1, c_u, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15307, 28031])).
% 80.19/52.49 tff(28033,plain,
% 80.19/52.49 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15314, 28032])).
% 80.19/52.49 tff(28034,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15305, 28033, 28030])).
% 80.19/52.49 tff(28035,plain,
% 80.19/52.49 ($false),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[21290, 7440, 28034, 28026])).
% 80.19/52.49 tff(28036,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.49 tff(28037,plain,
% 80.19/52.49 ((~m_and_h_gate_v_out(c_e_h_1, c_c, s6)) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[28036, 21497])).
% 80.19/52.49 tff(28038,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[28037, 28023, 12656])).
% 80.19/52.49 tff(28039,plain,
% 80.19/52.49 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15801, 28038])).
% 80.19/52.49 tff(28040,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[15862, 28039, 15951, 26450, 26453])).
% 80.19/52.49 tff(28041,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7850, 28040])).
% 80.19/52.49 tff(28042,plain,
% 80.19/52.49 (~node20(c_e_h_1, c_i, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7858, 28041])).
% 80.19/52.49 tff(28043,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7881, 28042, 26474])).
% 80.19/52.49 tff(28044,plain,
% 80.19/52.49 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26903, 28023])).
% 80.19/52.49 tff(28045,plain,
% 80.19/52.49 (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26716, 26450, 15951])).
% 80.19/52.49 tff(28046,plain,
% 80.19/52.49 (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26719, 28039, 28045])).
% 80.19/52.49 tff(28047,plain,
% 80.19/52.49 ((~m_or_h_gate_v_out(c_e_h_1, c_g, s8)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7) | m_or_h_gate_v_in1(c_e_h_1, c_g, s7)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16042, 26884])).
% 80.19/52.49 tff(28048,plain,
% 80.19/52.49 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[28047, 28046, 28044])).
% 80.19/52.49 tff(28049,plain,
% 80.19/52.49 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[16065, 28048])).
% 80.19/52.49 tff(28050,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[6489, 28049, 28040])).
% 80.19/52.49 tff(28051,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7956, 28050])).
% 80.19/52.49 tff(28052,plain,
% 80.19/52.49 (~node20(c_e_h_1, c_i, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7964, 28051])).
% 80.19/52.49 tff(28053,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[7990, 28052, 28043])).
% 80.19/52.49 tff(28054,plain,
% 80.19/52.49 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26653, 28022])).
% 80.19/52.49 tff(28055,plain,
% 80.19/52.49 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26739, 28048, 26506, 28054, 28040])).
% 80.19/52.49 tff(28056,plain,
% 80.19/52.49 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8078, 8, 28055])).
% 80.19/52.49 tff(28057,plain,
% 80.19/52.49 (~node20(c_e_h_1, c_i, s10)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8398, 22, 28056])).
% 80.19/52.49 tff(28058,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8394, 28057, 28053])).
% 80.19/52.49 tff(28059,plain,
% 80.19/52.49 (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[8190, 28058])).
% 80.19/52.49 tff(28060,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27592, 28059, 28013, 28011, 28010, 27987, 26479])).
% 80.19/52.49 tff(28061,plain,
% 80.19/52.49 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[26599, 27984])).
% 80.19/52.49 tff(28062,plain,
% 80.19/52.49 (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27960, 28053, 26488, 26493, 28054, 26513, 28061, 26506, 28048, 28040])).
% 80.19/52.49 tff(28063,plain,
% 80.19/52.49 (~m_cell_v_ack(c_e_h_2, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25854, 28062])).
% 80.19/52.49 tff(28064,plain,
% 80.19/52.49 (m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25845, 28063])).
% 80.19/52.49 tff(28065,plain,
% 80.19/52.49 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[27021, 27830, 27989, 27828, 27643])).
% 80.19/52.49 tff(28066,plain,
% 80.19/52.49 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.19/52.49 inference(unit_resolution,[status(thm)],[25809, 28065])).
% 80.19/52.49 tff(28067,plain,
% 80.19/52.49 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s10))),
% 80.19/52.49 inference(rewrite,[status(thm)],[])).
% 80.19/52.49 tff(28068,plain,
% 80.19/52.49 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s10))),
% 80.19/52.49 inference(quant_inst,[status(thm)],[])).
% 80.19/52.49 tff(28069,plain,
% 80.19/52.49 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node2(c_e_h_1, c_e_h_2, s10)),
% 80.19/52.50 inference(modus_ponens,[status(thm)],[28068, 28067])).
% 80.19/52.50 tff(28070,plain,
% 80.19/52.50 (node2(c_e_h_1, c_e_h_2, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28069, 2823, 7161])).
% 80.19/52.50 tff(28071,plain,
% 80.19/52.50 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s10)) | m_cell_v_ack(c_e_h_2, s10) | m_and_h_gate_v_in2(c_e_h_1, c_c, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s10)) | m_cell_v_ack(c_e_h_2, s10) | m_and_h_gate_v_in2(c_e_h_1, c_c, s10))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28072,plain,
% 80.19/52.50 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_1, c_e_h_2, s10)) | m_cell_v_ack(c_e_h_2, s10) | m_and_h_gate_v_in2(c_e_h_1, c_c, s10))),
% 80.19/52.50 inference(quant_inst,[status(thm)],[])).
% 80.19/52.50 tff(28073,plain,
% 80.19/52.50 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_1, c_e_h_2, s10)) | m_cell_v_ack(c_e_h_2, s10) | m_and_h_gate_v_in2(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(modus_ponens,[status(thm)],[28072, 28071])).
% 80.19/52.50 tff(28074,plain,
% 80.19/52.50 (m_cell_v_ack(c_e_h_2, s10) | m_and_h_gate_v_in2(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28073, 7175, 28070])).
% 80.19/52.50 tff(28075,plain,
% 80.19/52.50 (m_and_h_gate_v_in2(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28074, 26768])).
% 80.19/52.50 tff(28076,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15316, 21703])).
% 80.19/52.50 tff(28077,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21292, 28076])).
% 80.19/52.50 tff(28078,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15380, 28076])).
% 80.19/52.50 tff(28079,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21195, 28078])).
% 80.19/52.50 tff(28080,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16181, 28078])).
% 80.19/52.50 tff(28081,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[26569, 28080])).
% 80.19/52.50 tff(28082,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27983, 28081, 17900])).
% 80.19/52.50 tff(28083,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s4)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15169, 21703])).
% 80.19/52.50 tff(28084,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15249, 28083])).
% 80.19/52.50 tff(28085,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15278, 28084])).
% 80.19/52.50 tff(28086,plain,
% 80.19/52.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15417, 28085])).
% 80.19/52.50 tff(28087,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15409, 28086, 28078])).
% 80.19/52.50 tff(28088,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21212, 28087])).
% 80.19/52.50 tff(28089,plain,
% 80.19/52.50 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27974, 28088, 28082])).
% 80.19/52.50 tff(28090,plain,
% 80.19/52.50 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17813, 28089])).
% 80.19/52.50 tff(28091,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21230, 6905, 28082, 28090])).
% 80.19/52.50 tff(28092,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21265, 28091, 28079])).
% 80.19/52.50 tff(28093,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21510, 28092, 28077])).
% 80.19/52.50 tff(28094,plain,
% 80.19/52.50 (~node22(c_e_h_1, c_c, s5, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21700, 28093, 15624])).
% 80.19/52.50 tff(28095,plain,
% 80.19/52.50 (node21(c_e_h_1, c_c, s5, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15791, 28094])).
% 80.19/52.50 tff(28096,plain,
% 80.19/52.50 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21728, 28095, 28093])).
% 80.19/52.50 tff(28097,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21706, 7440, 21703, 28096])).
% 80.19/52.50 tff(28098,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28099,plain,
% 80.19/52.50 (m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28098, 15624])).
% 80.19/52.50 tff(28100,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_c, s10)), introduced(assumption)).
% 80.19/52.50 tff(28101,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17623, 21703])).
% 80.19/52.50 tff(28102,plain,
% 80.19/52.50 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28103,plain,
% 80.19/52.50 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10))),
% 80.19/52.50 inference(quant_inst,[status(thm)],[])).
% 80.19/52.50 tff(28104,plain,
% 80.19/52.50 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(modus_ponens,[status(thm)],[28103, 28102])).
% 80.19/52.50 tff(28105,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28104, 7440, 25673, 17549])).
% 80.19/52.50 tff(28106,plain,(m_and_h_gate_v_in1(c_e_h_1, c_c, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28107,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28106, 28101])).
% 80.19/52.50 tff(28108,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28109,plain,
% 80.19/52.50 (((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)) <=> ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28110,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 80.19/52.50 inference(monotonicity,[status(thm)],[28109])).
% 80.19/52.50 tff(28111,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(transitivity,[status(thm)],[28110, 28108])).
% 80.19/52.50 tff(28112,plain,
% 80.19/52.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(quant_inst,[status(thm)],[])).
% 80.19/52.50 tff(28113,plain,
% 80.19/52.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~node21(c_e_h_1, c_c, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 80.19/52.50 tff(28114,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28113, 7190, 17932, 28100, 17967, 17542])).
% 80.19/52.50 tff(28115,plain,((~node21(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28116,plain,
% 80.19/52.50 (~node21(c_e_h_1, c_c, s10, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28115, 17967, 17542, 28100])).
% 80.19/52.50 tff(28117,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28118,plain,
% 80.19/52.50 ((m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10))) <=> ((~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(rewrite,[status(thm)],[])).
% 80.19/52.50 tff(28119,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)))),
% 80.19/52.50 inference(monotonicity,[status(thm)],[28118])).
% 80.19/52.50 tff(28120,plain,
% 80.19/52.50 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11))),
% 80.19/52.50 inference(transitivity,[status(thm)],[28119, 28117])).
% 80.19/52.50 tff(28121,plain,
% 80.19/52.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)))),
% 80.19/52.50 inference(quant_inst,[status(thm)],[])).
% 80.19/52.50 tff(28122,plain,
% 80.19/52.50 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(modus_ponens,[status(thm)],[28121, 28120])).
% 80.19/52.50 tff(28123,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28122, 6905, 17880, 17925, 17967])).
% 80.19/52.50 tff(28124,plain,((~node22(c_e_h_1, c_c, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_and_h_gate_v_out(c_e_h_1, c_c, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28125,plain,
% 80.19/52.50 (~node22(c_e_h_1, c_c, s10, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28124, 17967, 17880])).
% 80.19/52.50 tff(28126,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17945, 28125, 28116])).
% 80.19/52.50 tff(28127,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28128,plain,
% 80.19/52.50 (m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28127, 28107, 28100, 28099])).
% 80.19/52.50 tff(28129,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27008, 28101])).
% 80.19/52.50 tff(28130,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27639, 28129])).
% 80.19/52.50 tff(28131,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27688, 28130, 28128, 27655, 20792])).
% 80.19/52.50 tff(28132,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28133,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28132, 20792, 26643, 28075])).
% 80.19/52.50 tff(28134,plain,
% 80.19/52.50 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21691, 28133])).
% 80.19/52.50 tff(28135,plain,
% 80.19/52.50 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15677, 28133])).
% 80.19/52.50 tff(28136,plain,
% 80.19/52.50 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7445, 28134])).
% 80.19/52.50 tff(28137,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7453, 28136])).
% 80.19/52.50 tff(28138,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7465, 28137])).
% 80.19/52.50 tff(28139,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15737, 28138, 28135, 28134])).
% 80.19/52.50 tff(28140,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27632, 28139, 12655, 12654, 26523, 26601, 20557, 15878, 20035])).
% 80.19/52.50 tff(28141,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28106, 28140])).
% 80.19/52.50 tff(28142,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27008, 28140])).
% 80.19/52.50 tff(28143,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27639, 28142])).
% 80.19/52.50 tff(28144,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27688, 28143, 26643, 20792])).
% 80.19/52.50 tff(28145,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28127, 28144, 28075, 28141])).
% 80.19/52.50 tff(28146,plain,
% 80.19/52.50 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[6616, 8, 28138])).
% 80.19/52.50 tff(28147,plain,
% 80.19/52.50 (~node20(c_e_h_1, c_i, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[6592, 22, 28146])).
% 80.19/52.50 tff(28148,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7492, 28147])).
% 80.19/52.50 tff(28149,plain,
% 80.19/52.50 (~m_c_h_element_v_in2(c_e_h_1, c_e, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7500, 28148])).
% 80.19/52.50 tff(28150,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7592, 28149])).
% 80.19/52.50 tff(28151,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_h, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15598, 28134])).
% 80.19/52.50 tff(28152,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15613, 28138, 28151])).
% 80.19/52.50 tff(28153,plain,
% 80.19/52.50 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7596, 8, 28152])).
% 80.19/52.50 tff(28154,plain,
% 80.19/52.50 (~node20(c_e_h_1, c_i, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7604, 28153])).
% 80.19/52.50 tff(28155,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7624, 28148, 28154])).
% 80.19/52.50 tff(28156,plain,
% 80.19/52.50 (~m_c_h_element_v_in2(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7632, 28155])).
% 80.19/52.50 tff(28157,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7707, 28156, 28150])).
% 80.19/52.50 tff(28158,plain,
% 80.19/52.50 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7711, 8, 28139])).
% 80.19/52.50 tff(28159,plain,
% 80.19/52.50 (~node20(c_e_h_1, c_i, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7719, 28158])).
% 80.19/52.50 tff(28160,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7742, 28155, 28159])).
% 80.19/52.50 tff(28161,plain,
% 80.19/52.50 (~m_c_h_element_v_in2(c_e_h_1, c_e, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7750, 28160])).
% 80.19/52.50 tff(28162,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[7843, 28161, 28157])).
% 80.19/52.50 tff(28163,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17905, 28145])).
% 80.19/52.50 tff(28164,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28106, 27633])).
% 80.19/52.50 tff(28165,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27688, 27640, 26643, 20792])).
% 80.19/52.50 tff(28166,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28127, 28165, 28075, 28164])).
% 80.19/52.50 tff(28167,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21516, 8001])).
% 80.19/52.50 tff(28168,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16371, 28167])).
% 80.19/52.50 tff(28169,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17905, 28166])).
% 80.19/52.50 tff(28170,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16400, 26465, 28168, 26461])).
% 80.19/52.50 tff(28171,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17503, 28170])).
% 80.19/52.50 tff(28172,plain,
% 80.19/52.50 (~node9(c_e_h_1, c_m, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17511, 28171])).
% 80.19/52.50 tff(28173,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17537, 28172, 26464])).
% 80.19/52.50 tff(28174,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18424, 28173, 28169, 8001, 28168, 26456, 26461])).
% 80.19/52.50 tff(28175,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27678, 27640, 20792, 8081, 26643])).
% 80.19/52.50 tff(28176,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27737, 28175, 27640, 26643, 8081])).
% 80.19/52.50 tff(28177,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18463, 28176])).
% 80.19/52.50 tff(28178,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[20737, 18251, 18250])).
% 80.19/52.50 tff(28179,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28106, 28178])).
% 80.19/52.50 tff(28180,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27008, 28178])).
% 80.19/52.50 tff(28181,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27639, 28180])).
% 80.19/52.50 tff(28182,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27688, 28181, 27655, 20792])).
% 80.19/52.50 tff(28183,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28127, 28182, 28100, 28179])).
% 80.19/52.50 tff(28184,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28098, 28183])).
% 80.19/52.50 tff(28185,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17687, 28184])).
% 80.19/52.50 tff(28186,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18083, 15780, 12656, 15983])).
% 80.19/52.50 tff(28187,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17714, 15780, 12656])).
% 80.19/52.50 tff(28188,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[8639, 28187])).
% 80.19/52.50 tff(28189,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18054, 28188, 17688])).
% 80.19/52.50 tff(28190,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16308, 28189])).
% 80.19/52.50 tff(28191,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16400, 28190, 16373, 28186])).
% 80.19/52.50 tff(28192,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16424, 28186])).
% 80.19/52.50 tff(28193,plain,
% 80.19/52.50 (~node9(c_e_h_1, c_m, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16432, 28192])).
% 80.19/52.50 tff(28194,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16455, 28193, 28189])).
% 80.19/52.50 tff(28195,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16463, 28194])).
% 80.19/52.50 tff(28196,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18271, 28195, 28191, 18250, 18251])).
% 80.19/52.50 tff(28197,plain,(node20(c_e_h_1, c_c, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | node20(c_e_h_1, c_c, s6)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28198,plain,
% 80.19/52.50 (node20(c_e_h_1, c_c, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28197, 12656, 18251, 16373, 18250, 15983])).
% 80.19/52.50 tff(28199,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15770, 28198])).
% 80.19/52.50 tff(28200,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15762, 28199])).
% 80.19/52.50 tff(28201,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15316, 28200])).
% 80.19/52.50 tff(28202,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15380, 28201])).
% 80.19/52.50 tff(28203,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21195, 28202])).
% 80.19/52.50 tff(28204,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16181, 28202])).
% 80.19/52.50 tff(28205,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[26569, 28204])).
% 80.19/52.50 tff(28206,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27983, 28205, 17900])).
% 80.19/52.50 tff(28207,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s4)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15169, 28200])).
% 80.19/52.50 tff(28208,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15249, 28207])).
% 80.19/52.50 tff(28209,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15278, 28208])).
% 80.19/52.50 tff(28210,plain,
% 80.19/52.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15417, 28209])).
% 80.19/52.50 tff(28211,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15409, 28210, 28202])).
% 80.19/52.50 tff(28212,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21212, 28211])).
% 80.19/52.50 tff(28213,plain,
% 80.19/52.50 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27974, 28212, 28206])).
% 80.19/52.50 tff(28214,plain,
% 80.19/52.50 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17813, 28213])).
% 80.19/52.50 tff(28215,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21230, 6905, 28206, 28214])).
% 80.19/52.50 tff(28216,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21265, 28215, 28203])).
% 80.19/52.50 tff(28217,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28037, 28216, 12656])).
% 80.19/52.50 tff(28218,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17709, 28217])).
% 80.19/52.50 tff(28219,plain,
% 80.19/52.50 (m_c_h_element_v_in1(c_e_h_1, c_e, s6) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9) | node20(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18081, 5906])).
% 80.19/52.50 tff(28220,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28219, 28218, 15983])).
% 80.19/52.50 tff(28221,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21513, 28218])).
% 80.19/52.50 tff(28222,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[8639, 28221])).
% 80.19/52.50 tff(28223,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18054, 28222, 17688])).
% 80.19/52.50 tff(28224,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16308, 28223])).
% 80.19/52.50 tff(28225,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17980, 28216])).
% 80.19/52.50 tff(28226,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18059, 28221, 28225, 17688])).
% 80.19/52.50 tff(28227,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16463, 28226])).
% 80.19/52.50 tff(28228,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18271, 28227, 18250, 18251])).
% 80.19/52.50 tff(28229,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16400, 28228, 28224, 16373, 28220])).
% 80.19/52.50 tff(28230,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | node20(c_e_h_1, c_c, s6) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28231,plain,
% 80.19/52.50 (node20(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28230, 28184, 18250, 18251, 16373, 28183])).
% 80.19/52.50 tff(28232,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15975, 28231])).
% 80.19/52.50 tff(28233,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15967, 28232])).
% 80.19/52.50 tff(28234,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15380, 28233])).
% 80.19/52.50 tff(28235,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21195, 28234])).
% 80.19/52.50 tff(28236,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16181, 28234])).
% 80.19/52.50 tff(28237,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[26569, 28236])).
% 80.19/52.50 tff(28238,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27983, 28237, 28183])).
% 80.19/52.50 tff(28239,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15345, 28233])).
% 80.19/52.50 tff(28240,plain,
% 80.19/52.50 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15278, 28239])).
% 80.19/52.50 tff(28241,plain,
% 80.19/52.50 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15417, 28240])).
% 80.19/52.50 tff(28242,plain,
% 80.19/52.50 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[15409, 28241, 28234])).
% 80.19/52.50 tff(28243,plain,
% 80.19/52.50 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21212, 28242])).
% 80.19/52.50 tff(28244,plain,
% 80.19/52.50 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27974, 28243, 28238])).
% 80.19/52.50 tff(28245,plain,
% 80.19/52.50 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17813, 28244])).
% 80.19/52.50 tff(28246,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21230, 6905, 28238, 28245])).
% 80.19/52.50 tff(28247,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21265, 28246, 28235])).
% 80.19/52.50 tff(28248,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17980, 28247])).
% 80.19/52.50 tff(28249,plain,
% 80.19/52.50 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28037, 28247, 28184])).
% 80.19/52.50 tff(28250,plain,
% 80.19/52.50 (~m_c_h_element_v_in1(c_e_h_1, c_e, s6)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[17709, 28249])).
% 80.19/52.50 tff(28251,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[27145, 28250, 28248, 28185])).
% 80.19/52.50 tff(28252,plain,
% 80.19/52.50 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21513, 28250])).
% 80.19/52.50 tff(28253,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[8639, 28252])).
% 80.19/52.50 tff(28254,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18054, 28253, 28185])).
% 80.19/52.50 tff(28255,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16308, 28254])).
% 80.19/52.50 tff(28256,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18059, 28252, 28185, 28248])).
% 80.19/52.50 tff(28257,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16463, 28256])).
% 80.19/52.50 tff(28258,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18271, 28257, 18250, 18251])).
% 80.19/52.50 tff(28259,plain,
% 80.19/52.50 ($false),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[16400, 28258, 28255, 16373, 28251])).
% 80.19/52.50 tff(28260,plain,(m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s11)) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.50 tff(28261,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[28260, 28168, 18247, 28075, 26643, 20792])).
% 80.19/52.50 tff(28262,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18364, 28173, 28261, 28177, 12653])).
% 80.19/52.50 tff(28263,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18456, 3886, 28262])).
% 80.19/52.50 tff(28264,plain,
% 80.19/52.50 (~node9(c_e_h_1, c_m, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18452, 28263])).
% 80.19/52.50 tff(28265,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[18444, 28264, 28174])).
% 80.19/52.50 tff(28266,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21017, 28175])).
% 80.19/52.50 tff(28267,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[20765, 28174])).
% 80.19/52.50 tff(28268,plain,
% 80.19/52.50 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21045, 28267, 28262, 28266])).
% 80.19/52.50 tff(28269,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21939, 3886, 28268])).
% 80.19/52.50 tff(28270,plain,
% 80.19/52.50 (~node9(c_e_h_1, c_m, s14)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21943, 238, 28269])).
% 80.19/52.50 tff(28271,plain,
% 80.19/52.50 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.19/52.50 inference(unit_resolution,[status(thm)],[21963, 28270, 28265])).
% 80.19/52.51 tff(28272,plain,
% 80.19/52.51 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27070, 7347, 28271])).
% 80.19/52.51 tff(28273,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_r, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27074, 334, 28272])).
% 80.19/52.51 tff(28274,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18512, 28167])).
% 80.19/52.51 tff(28275,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_r, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18519, 28274])).
% 80.19/52.51 tff(28276,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[9482, 28275])).
% 80.19/52.51 tff(28277,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17493, 28276, 18537])).
% 80.19/52.51 tff(28278,plain,
% 80.19/52.51 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[9490, 28276])).
% 80.19/52.51 tff(28279,plain,
% 80.19/52.51 (~m_user_v_ack(c_e_h_1, c_u, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[24370, 28277])).
% 80.19/52.51 tff(28280,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18584, 28277, 18562])).
% 80.19/52.51 tff(28281,plain,
% 80.19/52.51 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[24387, 28280])).
% 80.19/52.51 tff(28282,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27021, 27633, 28281, 28279, 28278])).
% 80.19/52.51 tff(28283,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25809, 28282])).
% 80.19/52.51 tff(28284,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16400, 26465, 25238, 26461])).
% 80.19/52.51 tff(28285,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18512, 7891])).
% 80.19/52.51 tff(28286,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_r, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18519, 28285])).
% 80.19/52.51 tff(28287,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_r, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[9482, 28286])).
% 80.19/52.51 tff(28288,plain,
% 80.19/52.51 (~m_user_v_ack(c_e_h_1, c_u, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[9490, 28287])).
% 80.19/52.51 tff(28289,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21004, 27642, 28288])).
% 80.19/52.51 tff(28290,plain,
% 80.19/52.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20978, 28289])).
% 80.19/52.51 tff(28291,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20970, 28290, 27634])).
% 80.19/52.51 tff(28292,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20944, 28291])).
% 80.19/52.51 tff(28293,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21195, 15957])).
% 80.19/52.51 tff(28294,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16181, 15957])).
% 80.19/52.51 tff(28295,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26569, 28294])).
% 80.19/52.51 tff(28296,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27983, 28295, 17900])).
% 80.19/52.51 tff(28297,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15409, 17631, 15957])).
% 80.19/52.51 tff(28298,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21212, 28297])).
% 80.19/52.51 tff(28299,plain,
% 80.19/52.51 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27974, 28298, 28296])).
% 80.19/52.51 tff(28300,plain,
% 80.19/52.51 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17813, 28299])).
% 80.19/52.51 tff(28301,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21230, 6905, 28296, 28300])).
% 80.19/52.51 tff(28302,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21265, 28301, 28293])).
% 80.19/52.51 tff(28303,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28037, 28302, 12656])).
% 80.19/52.51 tff(28304,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15801, 28303])).
% 80.19/52.51 tff(28305,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15862, 28304, 15951, 26450, 26453])).
% 80.19/52.51 tff(28306,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17503, 28284])).
% 80.19/52.51 tff(28307,plain,
% 80.19/52.51 (~node9(c_e_h_1, c_m, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17511, 28306])).
% 80.19/52.51 tff(28308,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17537, 28307, 26464])).
% 80.19/52.51 tff(28309,plain,
% 80.19/52.51 (xuntil28(s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17446, 28286])).
% 80.19/52.51 tff(28310,plain,
% 80.19/52.51 (until27(s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17451, 28309])).
% 80.19/52.51 tff(28311,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26903, 28302])).
% 80.19/52.51 tff(28312,plain,
% 80.19/52.51 (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26719, 28304, 28045])).
% 80.19/52.51 tff(28313,plain,
% 80.19/52.51 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28047, 28312, 28311])).
% 80.19/52.51 tff(28314,plain,
% 80.19/52.51 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16065, 28313])).
% 80.19/52.51 tff(28315,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27937, 28314, 21083, 26770, 18547, 28310, 27129, 28308, 28305, 20557, 12654, 27640, 26633, 28292, 26623, 28287, 28284, 15878, 7891, 26474, 21067])).
% 80.19/52.51 tff(28316,plain,
% 80.19/52.51 (m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25258, 28315])).
% 80.19/52.51 tff(28317,plain,
% 80.19/52.51 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25408, 28316, 12654])).
% 80.19/52.51 tff(28318,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25419, 28317])).
% 80.19/52.51 tff(28319,plain,
% 80.19/52.51 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25339, 28316, 12655])).
% 80.19/52.51 tff(28320,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25346, 28319])).
% 80.19/52.51 tff(28321,plain,
% 80.19/52.51 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25836, 28320, 25811, 28318])).
% 80.19/52.51 tff(28322,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26599, 28296])).
% 80.19/52.51 tff(28323,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26653, 28301])).
% 80.19/52.51 tff(28324,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7850, 28305])).
% 80.19/52.51 tff(28325,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_i, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7858, 28324])).
% 80.19/52.51 tff(28326,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7881, 28325, 26474])).
% 80.19/52.51 tff(28327,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[6489, 28314, 28305])).
% 80.19/52.51 tff(28328,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7956, 28327])).
% 80.19/52.51 tff(28329,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_i, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7964, 28328])).
% 80.19/52.51 tff(28330,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7990, 28329, 28326])).
% 80.19/52.51 tff(28331,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27960, 28330, 15878, 20035, 28323, 26601, 28322, 26523, 28313, 28305])).
% 80.19/52.51 tff(28332,plain,
% 80.19/52.51 (~m_cell_v_ack(c_e_h_2, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25854, 28331])).
% 80.19/52.51 tff(28333,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25845, 28332, 28321])).
% 80.19/52.51 tff(28334,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s15) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_and_h_gate_v_out(c_e_h_1, c_c, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28335,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28334, 28283, 15878, 20035, 26601, 26523, 12655, 12654, 28277, 28273, 20557, 28167, 12656, 28166])).
% 80.19/52.51 tff(28336,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15967, 28335])).
% 80.19/52.51 tff(28337,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s3)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[6891, 26531])).
% 80.19/52.51 tff(28338,plain,
% 80.19/52.51 (~m_or_h_gate_v_out(c_e_h_1, c_g, s4)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[6883, 28337])).
% 80.19/52.51 tff(28339,plain,
% 80.19/52.51 (~m_c_h_element_v_in1(c_e_h_1, c_h, s4)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7453, 28338])).
% 80.19/52.51 tff(28340,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7465, 28339])).
% 80.19/52.51 tff(28341,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s4)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15590, 2486, 26532])).
% 80.19/52.51 tff(28342,plain,
% 80.19/52.51 (~m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15553, 28341, 28338])).
% 80.19/52.51 tff(28343,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15862, 28342, 15951, 26518, 28340])).
% 80.19/52.51 tff(28344,plain,
% 80.19/52.51 (~m_or_h_gate_v_out(c_e_h_1, c_g, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26376, 28342, 15983, 26517, 15951])).
% 80.19/52.51 tff(28345,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15737, 28342, 15951, 28340])).
% 80.19/52.51 tff(28346,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27632, 28345, 12655, 12654, 26523, 26601, 20557, 15878, 20035])).
% 80.19/52.51 tff(28347,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28106, 28346])).
% 80.19/52.51 tff(28348,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27008, 28346])).
% 80.19/52.51 tff(28349,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27639, 28348])).
% 80.19/52.51 tff(28350,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27688, 28349, 26643, 20792])).
% 80.19/52.51 tff(28351,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28127, 28350, 28075, 28347])).
% 80.19/52.51 tff(28352,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26592, 28351, 15983, 26532])).
% 80.19/52.51 tff(28353,plain,
% 80.19/52.51 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26599, 28352])).
% 80.19/52.51 tff(28354,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7711, 8, 28345])).
% 80.19/52.51 tff(28355,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_i, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7719, 28354])).
% 80.19/52.51 tff(28356,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[6616, 8, 28340])).
% 80.19/52.51 tff(28357,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_i, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[6592, 22, 28356])).
% 80.19/52.51 tff(28358,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7492, 28357])).
% 80.19/52.51 tff(28359,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_h, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26706, 28341, 28338])).
% 80.19/52.51 tff(28360,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7596, 8, 28359])).
% 80.19/52.51 tff(28361,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_i, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7604, 28360])).
% 80.19/52.51 tff(28362,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7624, 28361, 28358])).
% 80.19/52.51 tff(28363,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7742, 28362, 28355])).
% 80.19/52.51 tff(28364,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18083, 26516, 12656, 15983])).
% 80.19/52.51 tff(28365,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_e, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17714, 26516, 12656])).
% 80.19/52.51 tff(28366,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[8639, 28365])).
% 80.19/52.51 tff(28367,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18054, 28366, 17688])).
% 80.19/52.51 tff(28368,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16308, 28367])).
% 80.19/52.51 tff(28369,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16400, 28368, 25238, 28364])).
% 80.19/52.51 tff(28370,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16424, 28364])).
% 80.19/52.51 tff(28371,plain,
% 80.19/52.51 (~node9(c_e_h_1, c_m, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16432, 28370])).
% 80.19/52.51 tff(28372,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16455, 28367, 28371])).
% 80.19/52.51 tff(28373,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16463, 28372])).
% 80.19/52.51 tff(28374,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25721, 28346])).
% 80.19/52.51 tff(28375,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27010, 28374])).
% 80.19/52.51 tff(28376,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21004, 28375, 28288])).
% 80.19/52.51 tff(28377,plain,
% 80.19/52.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20978, 28376])).
% 80.19/52.51 tff(28378,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20970, 28377, 28348])).
% 80.19/52.51 tff(28379,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20944, 28378])).
% 80.19/52.51 tff(28380,plain,
% 80.19/52.51 (~m_c_h_element_v_in1(c_e_h_1, c_h, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16065, 28344])).
% 80.19/52.51 tff(28381,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17503, 28369])).
% 80.19/52.51 tff(28382,plain,
% 80.19/52.51 (~node9(c_e_h_1, c_m, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17511, 28381])).
% 80.19/52.51 tff(28383,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17537, 28382, 28372])).
% 80.19/52.51 tff(28384,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18372, 28383])).
% 80.19/52.51 tff(28385,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18313, 28384, 18273, 12653])).
% 80.19/52.51 tff(28386,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18387, 3886, 28385])).
% 80.19/52.51 tff(28387,plain,
% 80.19/52.51 (~node9(c_e_h_1, c_m, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18391, 238, 28386])).
% 80.19/52.51 tff(28388,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18399, 28383, 18281])).
% 80.19/52.51 tff(28389,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27678, 28349, 20792, 8081, 26643])).
% 80.19/52.51 tff(28390,plain,
% 80.19/52.51 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27737, 28389, 28349, 26643, 8081])).
% 80.19/52.51 tff(28391,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18463, 28390])).
% 80.19/52.51 tff(28392,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26979, 28391, 28388, 28387, 28385])).
% 80.19/52.51 tff(28393,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21017, 28389])).
% 80.19/52.51 tff(28394,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18422, 28387, 28388])).
% 80.19/52.51 tff(28395,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20765, 28394])).
% 80.19/52.51 tff(28396,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18364, 28391, 18273, 28383, 12653])).
% 80.19/52.51 tff(28397,plain,
% 80.19/52.51 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21045, 28396, 28395, 28393])).
% 80.19/52.51 tff(28398,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21939, 3886, 28397])).
% 80.19/52.51 tff(28399,plain,
% 80.19/52.51 (~node9(c_e_h_1, c_m, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21943, 238, 28398])).
% 80.19/52.51 tff(28400,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21963, 28399, 28392])).
% 80.19/52.51 tff(28401,plain,
% 80.19/52.51 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27070, 7347, 28400])).
% 80.19/52.51 tff(28402,plain,
% 80.19/52.51 (~node20(c_e_h_1, c_r, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27074, 334, 28401])).
% 80.19/52.51 tff(28403,plain,
% 80.19/52.51 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27937, 28402, 21083, 26770, 18547, 28310, 28343, 28383, 28380, 20557, 12654, 28349, 26633, 28379, 28373, 28287, 28369, 15878, 7891, 28363, 21067])).
% 80.19/52.51 tff(28404,plain,
% 80.19/52.51 (m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25258, 28403])).
% 80.19/52.51 tff(28405,plain,
% 80.19/52.51 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25339, 28404, 12655])).
% 80.19/52.51 tff(28406,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25346, 28405])).
% 80.19/52.51 tff(28407,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_r, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[18584, 18547, 18562])).
% 80.19/52.51 tff(28408,plain,
% 80.19/52.51 (~m_user_v_ack(c_e_h_1, c_u, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[24387, 28407])).
% 80.19/52.51 tff(28409,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27021, 28346, 28408, 24371, 28288])).
% 80.19/52.51 tff(28410,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25809, 28409])).
% 80.19/52.51 tff(28411,plain,
% 80.19/52.51 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25408, 28404, 12654])).
% 80.19/52.51 tff(28412,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25419, 28411])).
% 80.19/52.51 tff(28413,plain,
% 80.19/52.51 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25836, 28412, 28410, 28406])).
% 80.19/52.51 tff(28414,plain,
% 80.19/52.51 (m_cell_v_ack(c_e_h_2, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25845, 28413])).
% 80.19/52.51 tff(28415,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25854, 28414])).
% 80.19/52.51 tff(28416,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_i, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16075, 28363, 26517, 15983, 28342, 15951, 28340])).
% 80.19/52.51 tff(28417,plain,
% 80.19/52.51 (m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27960, 28416, 15878, 20035, 28415, 26601, 28353, 26523, 28344, 28343])).
% 80.19/52.51 tff(28418,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26653, 28417])).
% 80.19/52.51 tff(28419,plain,
% 80.19/52.51 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16007, 26517, 15983])).
% 80.19/52.51 tff(28420,plain,
% 80.19/52.51 (node20(c_e_h_1, c_c, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17756, 28418, 28419])).
% 80.19/52.51 tff(28421,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17828, 28420])).
% 80.19/52.51 tff(28422,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17721, 28421])).
% 80.19/52.51 tff(28423,plain,
% 80.19/52.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16094, 28422, 15281])).
% 80.19/52.51 tff(28424,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16100, 28423])).
% 80.19/52.51 tff(28425,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15278, 28424])).
% 80.19/52.51 tff(28426,plain,
% 80.19/52.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15417, 28425])).
% 80.19/52.51 tff(28427,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15409, 28426, 28422])).
% 80.19/52.51 tff(28428,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21212, 28427])).
% 80.19/52.51 tff(28429,plain,
% 80.19/52.51 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27974, 28428, 28352])).
% 80.19/52.51 tff(28430,plain,
% 80.19/52.51 (node22(c_e_h_1, c_c, s8, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17813, 28429])).
% 80.19/52.51 tff(28431,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[21230, 6905, 28352, 28430, 28418])).
% 80.19/52.51 tff(28432,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s9) | node20(c_e_h_1, c_c, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28433,plain,
% 80.19/52.51 (node20(c_e_h_1, c_c, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28432, 28335, 20035, 26601, 26523, 12655, 12654, 28277, 20557, 28167, 15878, 28261, 8081, 20792, 12656])).
% 80.19/52.51 tff(28434,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15975, 28433, 28336])).
% 80.19/52.51 tff(28435,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28436,plain,
% 80.19/52.51 (m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28435, 8001, 26601, 26523, 12655, 12654, 20557, 15878, 28133, 20792, 20035])).
% 80.19/52.51 tff(28437,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17952, 28436, 8001, 28163])).
% 80.19/52.51 tff(28438,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28439,plain,
% 80.19/52.51 (m_c_h_element_v_out(c_e_h_1, c_e, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28438, 20792, 26523, 12655, 12654, 20557, 15878, 26601, 20035])).
% 80.19/52.51 tff(28440,plain,
% 80.19/52.51 (m_c_h_element_v_in1(c_e_h_1, c_e, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17862, 28439, 28162])).
% 80.19/52.51 tff(28441,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[17845, 28440])).
% 80.19/52.51 tff(28442,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27983, 28441, 28145])).
% 80.19/52.51 tff(28443,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[26569, 28442])).
% 80.19/52.51 tff(28444,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[16181, 28443])).
% 80.19/52.51 tff(28445,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15380, 28444])).
% 80.19/52.51 tff(28446,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15316, 28445])).
% 80.19/52.51 tff(28447,plain,
% 80.19/52.51 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15762, 28446])).
% 80.19/52.51 tff(28448,plain,
% 80.19/52.51 (m_c_h_element_v_in2(c_e_h_1, c_e, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7949, 28439, 28162])).
% 80.19/52.51 tff(28449,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_i, s9)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7889, 28448])).
% 80.19/52.51 tff(28450,plain,
% 80.19/52.51 (node20(c_e_h_1, c_i, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7881, 28449, 28160])).
% 80.19/52.51 tff(28451,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_i, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7858, 28450])).
% 80.19/52.51 tff(28452,plain,
% 80.19/52.51 (m_c_h_element_v_out(c_e_h_1, c_h, s8)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[7850, 28451])).
% 80.19/52.51 tff(28453,plain,
% 80.19/52.51 (m_or_h_gate_v_in1(c_e_h_1, c_g, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15862, 28452, 28135, 28134, 28138])).
% 80.19/52.51 tff(28454,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s6)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15801, 28453])).
% 80.19/52.51 tff(28455,plain,
% 80.19/52.51 (node20(c_e_h_1, c_c, s5)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15793, 28454, 28133])).
% 80.19/52.51 tff(28456,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[15770, 28455, 28447])).
% 80.19/52.51 tff(28457,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s12) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s9) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28458,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28457, 26499, 12655, 12654, 26506, 26488, 26513, 26493])).
% 80.19/52.51 tff(28459,plain,
% 80.19/52.51 (m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[20936, 28008, 28458, 27997])).
% 80.19/52.51 tff(28460,plain,
% 80.19/52.51 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25565, 27994, 27828])).
% 80.19/52.51 tff(28461,plain,
% 80.19/52.51 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25573, 28460])).
% 80.19/52.51 tff(28462,plain,
% 80.19/52.51 (m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[25511, 28461, 27996])).
% 80.19/52.51 tff(28463,plain,
% 80.19/52.51 (m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[27380, 28462])).
% 80.19/52.51 tff(28464,assumption,(~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)), introduced(assumption)).
% 80.19/52.51 tff(28465,plain,
% 80.19/52.51 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10))),
% 80.19/52.51 inference(rewrite,[status(thm)],[])).
% 80.19/52.51 tff(28466,plain,
% 80.19/52.51 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10))),
% 80.19/52.51 inference(quant_inst,[status(thm)],[])).
% 80.19/52.51 tff(28467,plain,
% 80.19/52.51 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10)) | m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)),
% 80.19/52.51 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 80.19/52.51 tff(28468,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28467, 14999, 25673, 28464])).
% 80.19/52.51 tff(28469,plain,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10) | (~m_mutex_h_half_v_out(c_e_h_1, c_a, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28470,plain,
% 80.19/52.51 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28469, 27989])).
% 80.19/52.51 tff(28471,assumption,(m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)), introduced(assumption)).
% 80.19/52.51 tff(28472,assumption,(m_mutex_h_half_v_out(c_e_h_1, c_b, s10)), introduced(assumption)).
% 80.19/52.51 tff(28473,plain,
% 80.19/52.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)))),
% 80.19/52.51 inference(rewrite,[status(thm)],[])).
% 80.19/52.51 tff(28474,plain,
% 80.19/52.51 (((~trans(s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10))) <=> ((~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)))),
% 80.19/52.51 inference(rewrite,[status(thm)],[])).
% 80.19/52.51 tff(28475,plain,
% 80.19/52.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10))))),
% 80.19/52.51 inference(monotonicity,[status(thm)],[28474])).
% 80.19/52.51 tff(28476,plain,
% 80.19/52.51 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)))),
% 80.19/52.51 inference(transitivity,[status(thm)],[28475, 28473])).
% 80.19/52.51 tff(28477,plain,
% 80.19/52.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s9, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)))),
% 80.19/52.51 inference(quant_inst,[status(thm)],[])).
% 80.19/52.51 tff(28478,plain,
% 80.19/52.51 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s9, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10))),
% 80.19/52.51 inference(modus_ponens,[status(thm)],[28477, 28476])).
% 80.19/52.51 tff(28479,plain,
% 80.19/52.51 ($false),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28478, 14978, 6039, 28472, 28471])).
% 80.19/52.51 tff(28480,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)) | (~m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s10))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.51 tff(28481,plain,
% 80.19/52.51 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)),
% 80.19/52.51 inference(unit_resolution,[status(thm)],[28480, 28470])).
% 80.19/52.51 tff(28482,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_d, s10)), introduced(assumption)).
% 80.19/52.51 tff(28483,assumption,(~m_mutex_h_half_v_out(c_e_h_1, c_b, s10)), introduced(assumption)).
% 80.19/52.51 tff(28484,plain,
% 80.19/52.51 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s10))),
% 80.19/52.51 inference(rewrite,[status(thm)],[])).
% 80.19/52.51 tff(28485,plain,
% 80.19/52.51 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s10))),
% 80.19/52.51 inference(quant_inst,[status(thm)],[])).
% 80.19/52.51 tff(28486,plain,
% 80.19/52.51 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s10)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 80.19/52.52 tff(28487,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28486, 966, 28483, 28482])).
% 80.19/52.52 tff(28488,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28489,plain,
% 80.19/52.52 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28488, 28481])).
% 80.19/52.52 tff(28490,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_d, s10)), introduced(assumption)).
% 80.19/52.52 tff(28491,assumption,(node20(c_e_h_1, c_d, s10)), introduced(assumption)).
% 80.19/52.52 tff(28492,plain,
% 80.19/52.52 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s10))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28493,plain,
% 80.19/52.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s10))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28494,plain,
% 80.19/52.52 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s10)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 80.19/52.52 tff(28495,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28494, 22, 28491, 28490])).
% 80.19/52.52 tff(28496,plain,((~node20(c_e_h_1, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28497,plain,
% 80.19/52.52 (~node20(c_e_h_1, c_d, s10)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28496, 28489])).
% 80.19/52.52 tff(28498,assumption,(~node20(c_e_h_1, c_d, s10)), introduced(assumption)).
% 80.19/52.52 tff(28499,assumption,(m_and_h_gate_v_out(c_e_h_1, c_d, s11)), introduced(assumption)).
% 80.19/52.52 tff(28500,assumption,(node21(c_e_h_1, c_d, s10, s11)), introduced(assumption)).
% 80.19/52.52 tff(28501,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node21(c_e_h_1, c_d, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node21(c_e_h_1, c_d, s10, s11)))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28502,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node21(c_e_h_1, c_d, s10, s11)))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28503,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node21(c_e_h_1, c_d, s10, s11))),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28502, 28501])).
% 80.19/52.52 tff(28504,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28503, 348, 28500, 28499, 28498])).
% 80.19/52.52 tff(28505,plain,((~node21(c_e_h_1, c_d, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | node20(c_e_h_1, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28506,plain,
% 80.19/52.52 (~node21(c_e_h_1, c_d, s10, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28505, 28499, 28498])).
% 80.19/52.52 tff(28507,assumption,(node22(c_e_h_1, c_d, s10, s11)), introduced(assumption)).
% 80.19/52.52 tff(28508,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node22(c_e_h_1, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node22(c_e_h_1, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28509,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node22(c_e_h_1, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28510,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | (~node22(c_e_h_1, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 80.19/52.52 tff(28511,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28510, 437, 28507, 28499, 16245])).
% 80.19/52.52 tff(28512,plain,((~node22(c_e_h_1, c_d, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28513,plain,
% 80.19/52.52 (~node22(c_e_h_1, c_d, s10, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28512, 28499, 16245])).
% 80.19/52.52 tff(28514,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_d, s10, s11) | node22(c_e_h_1, c_d, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_d, s10, s11) | node22(c_e_h_1, c_d, s10, s11))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28515,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_d, s10, s11) | node22(c_e_h_1, c_d, s10, s11))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28516,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_d, s10, s11) | node22(c_e_h_1, c_d, s10, s11)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 80.19/52.52 tff(28517,plain,
% 80.19/52.52 (node21(c_e_h_1, c_d, s10, s11) | node22(c_e_h_1, c_d, s10, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28516, 383, 8015])).
% 80.19/52.52 tff(28518,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28517, 28513, 28506])).
% 80.19/52.52 tff(28519,plain,((~m_and_h_gate_v_out(c_e_h_1, c_d, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | node20(c_e_h_1, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28520,plain,
% 80.19/52.52 (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28519, 28001, 28497])).
% 80.19/52.52 tff(28521,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_d, s11)), introduced(assumption)).
% 80.19/52.52 tff(28522,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s11)), introduced(assumption)).
% 80.19/52.52 tff(28523,plain,
% 80.19/52.52 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s11))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28524,plain,
% 80.19/52.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s11))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28525,plain,
% 80.19/52.52 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s11)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 80.19/52.52 tff(28526,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28525, 1126, 28522, 28521])).
% 80.19/52.52 tff(28527,plain,((~m_c_h_element_v_in1(c_e_h_1, c_f, s11)) | m_and_h_gate_v_out(c_e_h_1, c_d, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28528,plain,
% 80.19/52.52 (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28527, 28520])).
% 80.19/52.52 tff(28529,plain,
% 80.19/52.52 (m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26843, 26781, 17539])).
% 80.19/52.52 tff(28530,plain,
% 80.19/52.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28531,plain,
% 80.19/52.52 ((m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | (~node17(c_e_h_1, c_f, s11))) <=> (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28532,plain,
% 80.19/52.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | (~node17(c_e_h_1, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11))))),
% 80.19/52.52 inference(monotonicity,[status(thm)],[28531])).
% 80.19/52.52 tff(28533,plain,
% 80.19/52.52 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | (~node17(c_e_h_1, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)))),
% 80.19/52.52 inference(transitivity,[status(thm)],[28532, 28530])).
% 80.19/52.52 tff(28534,plain,
% 80.19/52.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)) | (~node17(c_e_h_1, c_f, s11)))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28535,plain,
% 80.19/52.52 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | (~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28534, 28533])).
% 80.19/52.52 tff(28536,plain,
% 80.19/52.52 ((~node17(c_e_h_1, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s11))),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28535, 1172, 26824])).
% 80.19/52.52 tff(28537,plain,
% 80.19/52.52 (~node17(c_e_h_1, c_f, s11)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28536, 28529])).
% 80.19/52.52 tff(28538,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26809, 28537, 26798])).
% 80.19/52.52 tff(28539,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_in1(c_e_h_1, c_f, s11) | m_c_h_element_v_out(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28540,plain,
% 80.19/52.52 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28539, 28528, 28003])).
% 80.19/52.52 tff(28541,plain,
% 80.19/52.52 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26847, 397, 28540])).
% 80.19/52.52 tff(28542,plain,
% 80.19/52.52 (~node20(c_e_h_1, c_q, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26851, 22, 28541])).
% 80.19/52.52 tff(28543,plain,
% 80.19/52.52 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26880, 28542, 28006])).
% 80.19/52.52 tff(28544,plain,
% 80.19/52.52 (~m_cell_v_ack(c_e_h_2, s13)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[26991, 28543])).
% 80.19/52.52 tff(28545,plain,
% 80.19/52.52 (m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[27000, 28544])).
% 80.19/52.52 tff(28546,plain,
% 80.19/52.52 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[27374, 28545, 28463, 28459])).
% 80.19/52.52 tff(28547,plain,
% 80.19/52.52 (m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[25836, 28546, 28066, 28064])).
% 80.19/52.52 tff(28548,plain,
% 80.19/52.52 (m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[25346, 28547])).
% 80.19/52.52 tff(28549,plain,
% 80.19/52.52 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[25339, 28548, 12655])).
% 80.19/52.52 tff(28550,plain,
% 80.19/52.52 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[25258, 28549])).
% 80.19/52.52 tff(28551,plain,
% 80.19/52.52 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18674, 28011, 26613])).
% 80.19/52.52 tff(28552,plain,
% 80.19/52.52 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18720, 28551])).
% 80.19/52.52 tff(28553,plain,
% 80.19/52.52 (~node24(s15)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18724, 9500, 28552])).
% 80.19/52.52 tff(28554,plain,
% 80.19/52.52 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18747, 28011])).
% 80.19/52.52 tff(28555,plain,
% 80.19/52.52 (~node24(s14)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18755, 28554])).
% 80.19/52.52 tff(28556,plain,
% 80.19/52.52 (~m_c_h_element_v_in2(c_e_h_2, c_h, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[20592, 26499])).
% 80.19/52.52 tff(28557,plain,
% 80.19/52.52 (~m_cell_v_ack(c_e_h_2, s10)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18981, 26493])).
% 80.19/52.52 tff(28558,plain,
% 80.19/52.52 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s10)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[18985, 1820, 28557])).
% 80.19/52.52 tff(28559,plain,
% 80.19/52.52 (~m_c_h_element_v_out(c_e_h_2, c_h, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[19991, 28558])).
% 80.19/52.52 tff(28560,plain,
% 80.19/52.52 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[20303, 1820, 28007])).
% 80.19/52.52 tff(28561,plain,
% 80.19/52.52 (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[20577, 28560, 26499])).
% 80.19/52.52 tff(28562,plain,
% 80.19/52.52 (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[20585, 28561])).
% 80.19/52.52 tff(28563,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[27893, 28562, 28059, 21083, 28559, 28556, 27812, 27809, 27807, 21067, 28013, 28555, 21750, 28553, 28010, 28550, 27987, 28060, 26479])).
% 80.19/52.52 tff(28564,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_and_h_gate_v_out(c_e_h_1, c_d, s8) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28565,plain,
% 80.19/52.52 (m_and_h_gate_v_in1(c_e_h_1, c_d, s8)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28564, 26449, 12654, 12655, 17900, 12656])).
% 80.19/52.52 tff(28566,plain,
% 80.19/52.52 (m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14843, 28565])).
% 80.19/52.52 tff(28567,assumption,(node12(c_e_h_1, c_b, s7, s8)), introduced(assumption)).
% 80.19/52.52 tff(28568,assumption,(~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)), introduced(assumption)).
% 80.19/52.52 tff(28569,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28570,plain,
% 80.19/52.52 (((~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))) <=> (m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28571,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))))),
% 80.19/52.52 inference(monotonicity,[status(thm)],[28570])).
% 80.19/52.52 tff(28572,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.19/52.52 inference(transitivity,[status(thm)],[28571, 28569])).
% 80.19/52.52 tff(28573,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28574,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~node12(c_e_h_1, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 80.19/52.52 tff(28575,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28574, 1082, 28568, 28567, 14968])).
% 80.19/52.52 tff(28576,plain,((~node12(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28577,plain,
% 80.19/52.52 (~node12(c_e_h_1, c_b, s7, s8)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28576, 28566, 26446])).
% 80.19/52.52 tff(28578,plain,
% 80.19/52.52 ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13472, 13410])).
% 80.19/52.52 tff(28579,plain,
% 80.19/52.52 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28578, 26448])).
% 80.19/52.52 tff(28580,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~node13(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~node13(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28581,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~node13(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28582,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)) | (~node13(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28581, 28580])).
% 80.19/52.52 tff(28583,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28582, 1004, 14294, 13475, 14968])).
% 80.19/52.52 tff(28584,plain,((~node13(c_e_h_1, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28585,plain,
% 80.19/52.52 (~node13(c_e_h_1, c_b, s7, s8)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28584, 28566, 28579])).
% 80.19/52.52 tff(28586,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14307, 28585, 28577])).
% 80.19/52.52 tff(28587,plain,(m_and_h_gate_v_out(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28588,plain,
% 80.19/52.52 (m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28587, 12654, 12655, 17898, 17626])).
% 80.19/52.52 tff(28589,plain,
% 80.19/52.52 (m_and_h_gate_v_out(c_e_h_2, c_q, s2)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14172, 14031])).
% 80.19/52.52 tff(28590,plain,
% 80.19/52.52 (m_cell_v_ack(c_e_h_3, s2)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14194, 28589])).
% 80.19/52.52 tff(28591,plain,
% 80.19/52.52 (~m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14216, 28590])).
% 80.19/52.52 tff(28592,plain,
% 80.19/52.52 (~node20(c_e_h_2, c_c, s2)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[14220, 334, 28591])).
% 80.19/52.52 tff(28593,plain,
% 80.19/52.52 (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13881, 28592])).
% 80.19/52.52 tff(28594,plain,
% 80.19/52.52 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13856, 28593])).
% 80.19/52.52 tff(28595,plain,
% 80.19/52.52 (~m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13848, 28594, 13646, 13537])).
% 80.19/52.52 tff(28596,plain,
% 80.19/52.52 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13781, 2538, 28595])).
% 80.19/52.52 tff(28597,plain,
% 80.19/52.52 (~node20(c_e_h_2, c_k, s4)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[13777, 22, 28596])).
% 80.19/52.52 tff(28598,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_b, s3)), introduced(assumption)).
% 80.19/52.52 tff(28599,assumption,(~m_mutex_h_half_v_out(c_e_h_2, c_b, s2)), introduced(assumption)).
% 80.19/52.52 tff(28600,assumption,(node13(c_e_h_2, c_b, s2, s3)), introduced(assumption)).
% 80.19/52.52 tff(28601,plain,
% 80.19/52.52 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node13(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node13(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))),
% 80.19/52.52 inference(rewrite,[status(thm)],[])).
% 80.19/52.52 tff(28602,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node13(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2))),
% 80.19/52.52 inference(quant_inst,[status(thm)],[])).
% 80.19/52.52 tff(28603,plain,
% 80.19/52.52 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node13(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2)),
% 80.19/52.52 inference(modus_ponens,[status(thm)],[28602, 28601])).
% 80.19/52.52 tff(28604,plain,
% 80.19/52.52 ($false),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28603, 1004, 28600, 28598, 28599])).
% 80.19/52.52 tff(28605,plain,((~node13(c_e_h_2, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s2)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.52 tff(28606,plain,
% 80.19/52.52 ((~node13(c_e_h_2, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3))),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28605, 13613])).
% 80.19/52.52 tff(28607,plain,
% 80.19/52.52 (~node13(c_e_h_2, c_b, s2, s3)),
% 80.19/52.52 inference(unit_resolution,[status(thm)],[28606, 28598])).
% 80.19/52.52 tff(28608,assumption,(m_and_h_gate_v_out(c_e_h_3, c_p, s2)), introduced(assumption)).
% 80.19/52.52 tff(28609,assumption,(node21(c_e_h_3, c_p, s1, s2)), introduced(assumption)).
% 80.19/52.52 tff(28610,plain,
% 80.19/52.52 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_p, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_p, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28611,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_p, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28612,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_p, X)) | m_and_h_gate_h_init_v_out(I0, c_n, X))) | (~m_and_h_gate_v_in2(c_e_h_3, c_p, s1)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s1)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 80.19/52.53 tff(28613,plain,
% 80.19/52.53 (~m_and_h_gate_v_in2(c_e_h_3, c_p, s1)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28612, 13568, 308])).
% 80.19/52.53 tff(28614,plain,
% 80.19/52.53 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_p, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_p, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s1))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28615,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_p, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s1))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28616,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_p, s1)) | m_and_h_gate_v_in2(c_e_h_3, c_p, s1)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28615, 28614])).
% 80.19/52.53 tff(28617,plain,
% 80.19/52.53 (~node20(c_e_h_3, c_p, s1)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28616, 334, 28613])).
% 80.19/52.53 tff(28618,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node21(c_e_h_3, c_p, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node21(c_e_h_3, c_p, s1, s2)))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28619,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node21(c_e_h_3, c_p, s1, s2)))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28620,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_p, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node21(c_e_h_3, c_p, s1, s2))),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28619, 28618])).
% 80.19/52.53 tff(28621,plain,
% 80.19/52.53 ($false),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28620, 348, 28617, 28609, 28608])).
% 80.19/52.53 tff(28622,plain,((~node21(c_e_h_3, c_p, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.53 tff(28623,plain,
% 80.19/52.53 (~node21(c_e_h_3, c_p, s1, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28622, 28608])).
% 80.19/52.53 tff(28624,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_p, s1, s2) | node22(c_e_h_3, c_p, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_p, s1, s2) | node22(c_e_h_3, c_p, s1, s2))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28625,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_p, s1, s2) | node22(c_e_h_3, c_p, s1, s2))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28626,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_p, s1, s2) | node22(c_e_h_3, c_p, s1, s2)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 80.19/52.53 tff(28627,plain,
% 80.19/52.53 (node21(c_e_h_3, c_p, s1, s2) | node22(c_e_h_3, c_p, s1, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28626, 383, 265])).
% 80.19/52.53 tff(28628,plain,
% 80.19/52.53 (node22(c_e_h_3, c_p, s1, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28627, 28623])).
% 80.19/52.53 tff(28629,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node22(c_e_h_3, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node22(c_e_h_3, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28630,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node22(c_e_h_3, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28631,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_p, s2)) | (~node22(c_e_h_3, c_p, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s1)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28630, 28629])).
% 80.19/52.53 tff(28632,plain,
% 80.19/52.53 ($false),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28631, 437, 28628, 28608, 13581])).
% 80.19/52.53 tff(28633,plain,(~m_and_h_gate_v_out(c_e_h_3, c_p, s2)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.53 tff(28634,plain,
% 80.19/52.53 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s2))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s2))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28635,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_3, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s2))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28636,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_3, s2)) | m_and_h_gate_v_out(c_e_h_3, c_p, s2)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28635, 28634])).
% 80.19/52.53 tff(28637,plain,
% 80.19/52.53 (~m_cell_v_req(c_e_h_3, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28636, 1036, 28633])).
% 80.19/52.53 tff(28638,plain,
% 80.19/52.53 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s2))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s2))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28639,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s2))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28640,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node1(c_e_h_2, c_e_h_3, s2)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28639, 28638])).
% 80.19/52.53 tff(28641,plain,
% 80.19/52.53 (node1(c_e_h_2, c_e_h_3, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28640, 1794, 1047])).
% 80.19/52.53 tff(28642,plain,
% 80.19/52.53 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s2)) | m_cell_v_req(c_e_h_3, s2) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_2, c_e_h_3, s2)) | m_cell_v_req(c_e_h_3, s2) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2)))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28643,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_2, c_e_h_3, s2)) | m_cell_v_req(c_e_h_3, s2) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2)))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28644,plain,
% 80.19/52.53 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_2, c_e_h_3, s2)) | m_cell_v_req(c_e_h_3, s2) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2))),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28643, 28642])).
% 80.19/52.53 tff(28645,plain,
% 80.19/52.53 (m_cell_v_req(c_e_h_3, s2) | (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2))),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28644, 1064, 28641])).
% 80.19/52.53 tff(28646,plain,
% 80.19/52.53 (~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28645, 28637])).
% 80.19/52.53 tff(28647,assumption,(node12(c_e_h_2, c_b, s2, s3)), introduced(assumption)).
% 80.19/52.53 tff(28648,assumption,(~m_mutex_h_half_v_inp(c_e_h_2, c_b, s2)), introduced(assumption)).
% 80.19/52.53 tff(28649,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3)))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28650,plain,
% 80.19/52.53 (((~node12(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3)))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28651,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3))))),
% 80.19/52.53 inference(monotonicity,[status(thm)],[28650])).
% 80.19/52.53 tff(28652,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3)))),
% 80.19/52.53 inference(transitivity,[status(thm)],[28651, 28649])).
% 80.19/52.53 tff(28653,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28654,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)) | (~node12(c_e_h_2, c_b, s2, s3))),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 80.19/52.53 tff(28655,plain,
% 80.19/52.53 ($false),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28654, 1082, 28648, 28647, 28598])).
% 80.19/52.53 tff(28656,plain,((~node12(c_e_h_2, c_b, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_b, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3))), inference(lemma,lemma(discharge,[]))).
% 80.19/52.53 tff(28657,plain,
% 80.19/52.53 ((~node12(c_e_h_2, c_b, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_b, s3))),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28656, 28646])).
% 80.19/52.53 tff(28658,plain,
% 80.19/52.53 (~node12(c_e_h_2, c_b, s2, s3)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28657, 28598])).
% 80.19/52.53 tff(28659,plain,
% 80.19/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_2, c_b, s2, s3) | node13(c_e_h_2, c_b, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_2, c_b, s2, s3) | node13(c_e_h_2, c_b, s2, s3))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28660,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_2, c_b, s2, s3) | node13(c_e_h_2, c_b, s2, s3))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28661,plain,
% 80.19/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_2, c_b, s2, s3) | node13(c_e_h_2, c_b, s2, s3)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 80.19/52.53 tff(28662,plain,
% 80.19/52.53 (node12(c_e_h_2, c_b, s2, s3) | node13(c_e_h_2, c_b, s2, s3)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28661, 1020, 463])).
% 80.19/52.53 tff(28663,plain,
% 80.19/52.53 ($false),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28662, 28658, 28607])).
% 80.19/52.53 tff(28664,plain,(~m_mutex_h_half_v_out(c_e_h_2, c_b, s3)), inference(lemma,lemma(discharge,[]))).
% 80.19/52.53 tff(28665,plain,
% 80.19/52.53 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s3))),
% 80.19/52.53 inference(rewrite,[status(thm)],[])).
% 80.19/52.53 tff(28666,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s3))),
% 80.19/52.53 inference(quant_inst,[status(thm)],[])).
% 80.19/52.53 tff(28667,plain,
% 80.19/52.53 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_d, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_b, s3)),
% 80.19/52.53 inference(modus_ponens,[status(thm)],[28666, 28665])).
% 80.19/52.53 tff(28668,plain,
% 80.19/52.53 (~m_and_h_gate_v_in1(c_e_h_2, c_d, s3)),
% 80.19/52.53 inference(unit_resolution,[status(thm)],[28667, 966, 28664])).
% 80.19/52.53 tff(28669,plain,
% 80.19/52.53 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s3))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28670,plain,
% 80.27/52.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s3))),
% 80.27/52.53 inference(quant_inst,[status(thm)],[])).
% 80.27/52.53 tff(28671,plain,
% 80.27/52.53 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_d, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_d, s3)),
% 80.27/52.53 inference(modus_ponens,[status(thm)],[28670, 28669])).
% 80.27/52.53 tff(28672,plain,
% 80.27/52.53 (~node20(c_e_h_2, c_d, s3)),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28671, 22, 28668])).
% 80.27/52.53 tff(28673,assumption,(m_and_h_gate_v_out(c_e_h_2, c_d, s4)), introduced(assumption)).
% 80.27/52.53 tff(28674,assumption,(~node20(c_e_h_2, c_d, s3)), introduced(assumption)).
% 80.27/52.53 tff(28675,assumption,(node21(c_e_h_2, c_d, s3, s4)), introduced(assumption)).
% 80.27/52.53 tff(28676,plain,
% 80.27/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28677,plain,
% 80.27/52.53 ((node20(c_e_h_2, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node21(c_e_h_2, c_d, s3, s4))) <=> (node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28678,plain,
% 80.27/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node21(c_e_h_2, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4))))),
% 80.27/52.53 inference(monotonicity,[status(thm)],[28677])).
% 80.27/52.53 tff(28679,plain,
% 80.27/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node21(c_e_h_2, c_d, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)))),
% 80.27/52.53 inference(transitivity,[status(thm)],[28678, 28676])).
% 80.27/52.53 tff(28680,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node21(c_e_h_2, c_d, s3, s4)))),
% 80.27/52.53 inference(quant_inst,[status(thm)],[])).
% 80.27/52.53 tff(28681,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_d, s3) | (~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4))),
% 80.27/52.53 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 80.27/52.53 tff(28682,plain,
% 80.27/52.53 ($false),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28681, 348, 28675, 28673, 28674])).
% 80.27/52.53 tff(28683,plain,((~node21(c_e_h_2, c_d, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | node20(c_e_h_2, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.53 tff(28684,plain,
% 80.27/52.53 (~node21(c_e_h_2, c_d, s3, s4)),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28683, 28673, 28672])).
% 80.27/52.53 tff(28685,assumption,(node22(c_e_h_2, c_d, s3, s4)), introduced(assumption)).
% 80.27/52.53 tff(28686,plain,
% 80.27/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node22(c_e_h_2, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node22(c_e_h_2, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28687,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node22(c_e_h_2, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3))),
% 80.27/52.53 inference(quant_inst,[status(thm)],[])).
% 80.27/52.53 tff(28688,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4)) | (~node22(c_e_h_2, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3)),
% 80.27/52.53 inference(modus_ponens,[status(thm)],[28687, 28686])).
% 80.27/52.53 tff(28689,plain,
% 80.27/52.53 ($false),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28688, 437, 28685, 13640, 28673])).
% 80.27/52.53 tff(28690,plain,((~node22(c_e_h_2, c_d, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_d, s4))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.53 tff(28691,plain,
% 80.27/52.53 (~node22(c_e_h_2, c_d, s3, s4)),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28690, 28673, 13638])).
% 80.27/52.53 tff(28692,plain,
% 80.27/52.53 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_d, s3, s4) | node22(c_e_h_2, c_d, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_d, s3, s4) | node22(c_e_h_2, c_d, s3, s4))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28693,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_d, s3, s4) | node22(c_e_h_2, c_d, s3, s4))),
% 80.27/52.53 inference(quant_inst,[status(thm)],[])).
% 80.27/52.53 tff(28694,plain,
% 80.27/52.53 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_d, s3, s4) | node22(c_e_h_2, c_d, s3, s4)),
% 80.27/52.53 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 80.27/52.53 tff(28695,plain,
% 80.27/52.53 (node21(c_e_h_2, c_d, s3, s4) | node22(c_e_h_2, c_d, s3, s4)),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28694, 383, 711])).
% 80.27/52.53 tff(28696,plain,
% 80.27/52.53 ($false),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28695, 28691, 28684])).
% 80.27/52.53 tff(28697,plain,(~m_and_h_gate_v_out(c_e_h_2, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.53 tff(28698,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_d, s4)), introduced(assumption)).
% 80.27/52.53 tff(28699,assumption,(m_or_h_gate_v_in2(c_e_h_2, c_g, s4)), introduced(assumption)).
% 80.27/52.53 tff(28700,plain,
% 80.27/52.53 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s4))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28701,plain,
% 80.27/52.53 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s4))),
% 80.27/52.53 inference(quant_inst,[status(thm)],[])).
% 80.27/52.53 tff(28702,plain,
% 80.27/52.53 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s4)),
% 80.27/52.53 inference(modus_ponens,[status(thm)],[28701, 28700])).
% 80.27/52.53 tff(28703,plain,
% 80.27/52.53 ($false),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28702, 2501, 28699, 28698])).
% 80.27/52.53 tff(28704,plain,((~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.53 tff(28705,plain,
% 80.27/52.53 (~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)),
% 80.27/52.53 inference(unit_resolution,[status(thm)],[28704, 28697])).
% 80.27/52.53 tff(28706,plain,
% 80.27/52.53 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28707,plain,
% 80.27/52.53 ((m_cell_v_ack(c_e_h_3, s3) | (~node3(c_e_h_2, c_e_h_3, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3))) <=> (m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.53 inference(rewrite,[status(thm)],[])).
% 80.27/52.53 tff(28708,plain,
% 80.27/52.53 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s3) | (~node3(c_e_h_2, c_e_h_3, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3))))),
% 80.27/52.54 inference(monotonicity,[status(thm)],[28707])).
% 80.27/52.54 tff(28709,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s3) | (~node3(c_e_h_2, c_e_h_3, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.54 inference(transitivity,[status(thm)],[28708, 28706])).
% 80.27/52.54 tff(28710,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_3, s3) | (~node3(c_e_h_2, c_e_h_3, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28711,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~node3(c_e_h_2, c_e_h_3, s3))),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 80.27/52.54 tff(28712,plain,
% 80.27/52.54 (m_cell_v_ack(c_e_h_3, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28711, 14187, 14025])).
% 80.27/52.54 tff(28713,plain,
% 80.27/52.54 (m_cell_v_ack(c_e_h_3, s3)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28712, 14031])).
% 80.27/52.54 tff(28714,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28715,plain,
% 80.27/52.54 (((~node2(c_e_h_2, c_e_h_3, s3)) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3))) <=> ((~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28716,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s3)) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3))))),
% 80.27/52.54 inference(monotonicity,[status(thm)],[28715])).
% 80.27/52.54 tff(28717,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s3)) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3)))),
% 80.27/52.54 inference(transitivity,[status(thm)],[28716, 28714])).
% 80.27/52.54 tff(28718,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | ((~node2(c_e_h_2, c_e_h_3, s3)) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28719,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | (~m_cell_v_ack(J0, X)) | (~m_and_h_gate_v_in2(I0, c_c, X)))) | (~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)) | (~node2(c_e_h_2, c_e_h_3, s3))),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28718, 28717])).
% 80.27/52.54 tff(28720,plain,
% 80.27/52.54 ((~m_cell_v_ack(c_e_h_3, s3)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3))),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28719, 14209, 14016])).
% 80.27/52.54 tff(28721,plain,
% 80.27/52.54 (~m_and_h_gate_v_in2(c_e_h_2, c_c, s3)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28720, 28713])).
% 80.27/52.54 tff(28722,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28723,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28724,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in2(c_e_h_2, c_c, s3)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 80.27/52.54 tff(28725,plain,
% 80.27/52.54 (~node20(c_e_h_2, c_c, s3)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28724, 334, 28721])).
% 80.27/52.54 tff(28726,assumption,(~node20(c_e_h_2, c_c, s3)), introduced(assumption)).
% 80.27/52.54 tff(28727,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s4)), introduced(assumption)).
% 80.27/52.54 tff(28728,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s3, s4)))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28729,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s3, s4)))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28730,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s3, s4))),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28729, 28728])).
% 80.27/52.54 tff(28731,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28730, 348, 14002, 28727, 28726])).
% 80.27/52.54 tff(28732,plain,((~node21(c_e_h_2, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | node20(c_e_h_2, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28733,plain,
% 80.27/52.54 (~node21(c_e_h_2, c_c, s3, s4)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28732, 28727, 28726])).
% 80.27/52.54 tff(28734,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28735,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28736,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 80.27/52.54 tff(28737,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28736, 437, 13851, 13884, 28727])).
% 80.27/52.54 tff(28738,plain,((~node22(c_e_h_2, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28739,plain,
% 80.27/52.54 (~node22(c_e_h_2, c_c, s3, s4)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28738, 28727, 13851])).
% 80.27/52.54 tff(28740,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[13897, 28739, 28733])).
% 80.27/52.54 tff(28741,plain,((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s3) | node20(c_e_h_2, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28742,plain,
% 80.27/52.54 (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28741, 28593, 28725])).
% 80.27/52.54 tff(28743,assumption,(m_or_h_gate_v_in1(c_e_h_2, c_g, s4)), introduced(assumption)).
% 80.27/52.54 tff(28744,plain,
% 80.27/52.54 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28745,plain,
% 80.27/52.54 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28746,plain,
% 80.27/52.54 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 80.27/52.54 tff(28747,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28746, 2486, 13883, 28743])).
% 80.27/52.54 tff(28748,plain,((~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28749,plain,
% 80.27/52.54 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28748, 28742])).
% 80.27/52.54 tff(28750,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s4)), introduced(assumption)).
% 80.27/52.54 tff(28751,assumption,(m_or_h_gate_v_out(c_e_h_2, c_g, s5)), introduced(assumption)).
% 80.27/52.54 tff(28752,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28753,plain,
% 80.27/52.54 (((~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4)) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28754,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5))))),
% 80.27/52.54 inference(monotonicity,[status(thm)],[28753])).
% 80.27/52.54 tff(28755,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5)))),
% 80.27/52.54 inference(transitivity,[status(thm)],[28754, 28752])).
% 80.27/52.54 tff(28756,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28757,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~node6(c_e_h_2, c_g, s4, s5))),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28756, 28755])).
% 80.27/52.54 tff(28758,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28757, 1851, 28750, 13796, 28751])).
% 80.27/52.54 tff(28759,plain,((~node6(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28760,plain,
% 80.27/52.54 (~node6(c_e_h_2, c_g, s4, s5)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28759, 28751, 28750])).
% 80.27/52.54 tff(28761,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)), introduced(assumption)).
% 80.27/52.54 tff(28762,assumption,(~m_or_h_gate_v_in2(c_e_h_2, c_g, s4)), introduced(assumption)).
% 80.27/52.54 tff(28763,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28764,plain,
% 80.27/52.54 ((m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28765,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4)))),
% 80.27/52.54 inference(monotonicity,[status(thm)],[28764])).
% 80.27/52.54 tff(28766,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4))),
% 80.27/52.54 inference(transitivity,[status(thm)],[28765, 28763])).
% 80.27/52.54 tff(28767,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | (~node5(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28768,plain,
% 80.27/52.54 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node5(c_e_h_2, c_g, s4, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28767, 28766])).
% 80.27/52.54 tff(28769,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28768, 1888, 13785, 28751, 28762, 28761])).
% 80.27/52.54 tff(28770,plain,((~node5(c_e_h_2, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28771,plain,
% 80.27/52.54 (~node5(c_e_h_2, c_g, s4, s5)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28770, 28751, 28762, 28761])).
% 80.27/52.54 tff(28772,plain,
% 80.27/52.54 ($false),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[13812, 28771, 28760])).
% 80.27/52.54 tff(28773,plain,((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_in2(c_e_h_2, c_g, s4) | m_or_h_gate_v_in1(c_e_h_2, c_g, s4) | m_or_h_gate_v_out(c_e_h_2, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.54 tff(28774,plain,
% 80.27/52.54 (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28773, 28749, 28705, 28595])).
% 80.27/52.54 tff(28775,plain,
% 80.27/52.54 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28776,plain,
% 80.27/52.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28777,plain,
% 80.27/52.54 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s5)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 80.27/52.54 tff(28778,plain,
% 80.27/52.54 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28777, 2538, 28774])).
% 80.27/52.54 tff(28779,plain,
% 80.27/52.54 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))),
% 80.27/52.54 inference(rewrite,[status(thm)],[])).
% 80.27/52.54 tff(28780,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5))),
% 80.27/52.54 inference(quant_inst,[status(thm)],[])).
% 80.27/52.54 tff(28781,plain,
% 80.27/52.54 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s5)),
% 80.27/52.54 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 80.27/52.54 tff(28782,plain,
% 80.27/52.54 (~node20(c_e_h_2, c_k, s5)),
% 80.27/52.54 inference(unit_resolution,[status(thm)],[28781, 22, 28778])).
% 80.27/52.54 tff(28783,assumption,(~node20(c_e_h_2, c_k, s5)), introduced(assumption)).
% 80.27/52.54 tff(28784,plain,
% 80.27/52.54 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node22(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node22(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28785,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node22(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28786,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node22(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 80.27/52.55 tff(28787,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28786, 437, 13705, 13696, 14231])).
% 80.27/52.55 tff(28788,plain,((~node22(c_e_h_2, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28789,plain,
% 80.27/52.55 (~node22(c_e_h_2, c_k, s5, s6)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28788, 14231, 13696])).
% 80.27/52.55 tff(28790,plain,
% 80.27/52.55 (node21(c_e_h_2, c_k, s5, s6)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[13718, 28789])).
% 80.27/52.55 tff(28791,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28792,plain,
% 80.27/52.55 ((node20(c_e_h_2, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s5, s6))) <=> (node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28793,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28792])).
% 80.27/52.55 tff(28794,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28793, 28791])).
% 80.27/52.55 tff(28795,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s5, s6)))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28796,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_2, c_k, s5) | (~node21(c_e_h_2, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 80.27/52.55 tff(28797,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28796, 348, 28790, 28783, 14231])).
% 80.27/52.55 tff(28798,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | node20(c_e_h_2, c_k, s5) | m_and_h_gate_v_out(c_e_h_2, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28799,plain,
% 80.27/52.55 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28798, 28782, 14231])).
% 80.27/52.55 tff(28800,plain,
% 80.27/52.55 (~node22(c_e_h_2, c_k, s4, s5)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[13764, 28799, 13545])).
% 80.27/52.55 tff(28801,plain,
% 80.27/52.55 (node21(c_e_h_2, c_k, s4, s5)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[13769, 28800])).
% 80.27/52.55 tff(28802,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[13773, 348, 28801, 28799, 28597])).
% 80.27/52.55 tff(28803,plain,((~m_and_h_gate_v_out(c_e_h_2, c_q, s3)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28804,plain,
% 80.27/52.55 (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28803, 28588])).
% 80.27/52.55 tff(28805,assumption,(m_c_h_element_v_in2(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28806,plain,
% 80.27/52.55 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28807,plain,
% 80.27/52.55 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28808,plain,
% 80.27/52.55 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28807, 28806])).
% 80.27/52.55 tff(28809,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28808, 527, 10789, 28805])).
% 80.27/52.55 tff(28810,plain,((~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | m_and_h_gate_v_out(c_e_h_2, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28811,plain,
% 80.27/52.55 (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28810, 10770])).
% 80.27/52.55 tff(28812,assumption,(m_c_h_element_v_out(c_e_h_2, c_f, s3)), introduced(assumption)).
% 80.27/52.55 tff(28813,assumption,(~m_c_h_element_v_out(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28814,assumption,(node18(c_e_h_2, c_f, s2, s3)), introduced(assumption)).
% 80.27/52.55 tff(28815,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28816,plain,
% 80.27/52.55 (((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~node18(c_e_h_2, c_f, s2, s3))) <=> (m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28817,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~node18(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3))))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28816])).
% 80.27/52.55 tff(28818,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~node18(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28817, 28815])).
% 80.27/52.55 tff(28819,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~node18(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28820,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node18(c_e_h_2, c_f, s2, s3))),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 80.27/52.55 tff(28821,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28820, 481, 28812, 28813, 28814])).
% 80.27/52.55 tff(28822,plain,((~node18(c_e_h_2, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28823,plain,
% 80.27/52.55 (~node18(c_e_h_2, c_f, s2, s3)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28822, 28813, 28812])).
% 80.27/52.55 tff(28824,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_f, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_f, s2, s3))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28825,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s2, s3)) | node19(c_e_h_2, c_f, s2, s3))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28826,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s2, s3)) | node19(c_e_h_2, c_f, s2, s3)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 80.27/52.55 tff(28827,plain,
% 80.27/52.55 (node19(c_e_h_2, c_f, s2, s3)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28826, 494, 463])).
% 80.27/52.55 tff(28828,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28829,plain,
% 80.27/52.55 ((node17(c_e_h_2, c_f, s2) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3))) <=> (node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28830,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s2) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28829])).
% 80.27/52.55 tff(28831,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s2) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28830, 28828])).
% 80.27/52.55 tff(28832,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_2, c_f, s2) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28833,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node18(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)) | node17(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28832, 28831])).
% 80.27/52.55 tff(28834,plain,
% 80.27/52.55 (node18(c_e_h_2, c_f, s2, s3) | node17(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28833, 508, 28827])).
% 80.27/52.55 tff(28835,plain,
% 80.27/52.55 (node17(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28834, 28823])).
% 80.27/52.55 tff(28836,assumption,(~m_c_h_element_v_in2(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28837,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28838,plain,
% 80.27/52.55 (((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2) | (~node17(c_e_h_2, c_f, s2))) <=> ((~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28839,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2) | (~node17(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28838])).
% 80.27/52.55 tff(28840,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2) | (~node17(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28839, 28837])).
% 80.27/52.55 tff(28841,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2) | (~node17(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28842,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 80.27/52.55 tff(28843,plain,
% 80.27/52.55 ((~node17(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28842, 541, 28836])).
% 80.27/52.55 tff(28844,plain,
% 80.27/52.55 (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28843, 28835])).
% 80.27/52.55 tff(28845,assumption,(node15(c_e_h_2, c_f, s2, s3)), introduced(assumption)).
% 80.27/52.55 tff(28846,plain,
% 80.27/52.55 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node15(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node15(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28847,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node15(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28848,plain,
% 80.27/52.55 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node15(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28847, 28846])).
% 80.27/52.55 tff(28849,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28848, 612, 28812, 28813, 28845])).
% 80.27/52.55 tff(28850,plain,((~node15(c_e_h_2, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28851,plain,
% 80.27/52.55 (~node15(c_e_h_2, c_f, s2, s3)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28850, 28813, 28812])).
% 80.27/52.55 tff(28852,assumption,(node16(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28853,assumption,(node17(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28854,assumption,(~m_c_h_element_v_in1(c_e_h_2, c_f, s2)), introduced(assumption)).
% 80.27/52.55 tff(28855,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28856,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28857,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28856, 28855])).
% 80.27/52.55 tff(28858,plain,
% 80.27/52.55 (m_c_h_element_v_in1(c_e_h_2, c_f, s2) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28857, 559, 28852])).
% 80.27/52.55 tff(28859,plain,
% 80.27/52.55 (m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28858, 28854])).
% 80.27/52.55 tff(28860,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28861,plain,
% 80.27/52.55 ((m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | (~node17(c_e_h_2, c_f, s2))) <=> ((~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28862,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | (~node17(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28861])).
% 80.27/52.55 tff(28863,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | (~node17(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28862, 28860])).
% 80.27/52.55 tff(28864,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)) | (~node17(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(quant_inst,[status(thm)],[])).
% 80.27/52.55 tff(28865,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_2, c_f, s2)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(modus_ponens,[status(thm)],[28864, 28863])).
% 80.27/52.55 tff(28866,plain,
% 80.27/52.55 (m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28865, 1172, 28853])).
% 80.27/52.55 tff(28867,plain,
% 80.27/52.55 ($false),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28866, 28859, 28854])).
% 80.27/52.55 tff(28868,plain,(m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~node17(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.55 tff(28869,plain,
% 80.27/52.55 (m_c_h_element_v_in1(c_e_h_2, c_f, s2)),
% 80.27/52.55 inference(unit_resolution,[status(thm)],[28868, 28853, 28852])).
% 80.27/52.55 tff(28870,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28871,plain,
% 80.27/52.55 (((~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))) <=> ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(rewrite,[status(thm)],[])).
% 80.27/52.55 tff(28872,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))))),
% 80.27/52.55 inference(monotonicity,[status(thm)],[28871])).
% 80.27/52.55 tff(28873,plain,
% 80.27/52.55 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.55 inference(transitivity,[status(thm)],[28872, 28870])).
% 80.27/52.55 tff(28874,plain,
% 80.27/52.55 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28875,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28874, 28873])).
% 80.27/52.56 tff(28876,plain,
% 80.27/52.56 ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | (~m_c_h_element_v_in2(c_e_h_2, c_f, s2))),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28875, 1192, 28852])).
% 80.27/52.56 tff(28877,plain,
% 80.27/52.56 (~m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28876, 28869])).
% 80.27/52.56 tff(28878,plain,
% 80.27/52.56 ((~m_c_h_element_v_in1(c_e_h_2, c_f, s2)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28842, 541, 28853])).
% 80.27/52.56 tff(28879,plain,
% 80.27/52.56 ($false),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28878, 28877, 28869])).
% 80.27/52.56 tff(28880,plain,((~node17(c_e_h_2, c_f, s2)) | (~node16(c_e_h_2, c_f, s2))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.56 tff(28881,plain,
% 80.27/52.56 (~node16(c_e_h_2, c_f, s2)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28880, 28835])).
% 80.27/52.56 tff(28882,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s2) | node14(c_e_h_2, c_f, s2, s3) | node15(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_f, s2) | node14(c_e_h_2, c_f, s2, s3) | node15(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28883,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_2, c_f, s2) | node14(c_e_h_2, c_f, s2, s3) | node15(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3)))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28884,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_2, c_f, s2) | node14(c_e_h_2, c_f, s2, s3) | node15(c_e_h_2, c_f, s2, s3) | (~node19(c_e_h_2, c_f, s2, s3))),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28883, 28882])).
% 80.27/52.56 tff(28885,plain,
% 80.27/52.56 (node16(c_e_h_2, c_f, s2) | node14(c_e_h_2, c_f, s2, s3) | node15(c_e_h_2, c_f, s2, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28884, 594, 28827])).
% 80.27/52.56 tff(28886,plain,
% 80.27/52.56 (node14(c_e_h_2, c_f, s2, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28885, 28881, 28851])).
% 80.27/52.56 tff(28887,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28888,plain,
% 80.27/52.56 (((~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3))) <=> ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28889,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2)))),
% 80.27/52.56 inference(monotonicity,[status(thm)],[28888])).
% 80.27/52.56 tff(28890,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2))),
% 80.27/52.56 inference(transitivity,[status(thm)],[28889, 28887])).
% 80.27/52.56 tff(28891,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28892,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | (~node14(c_e_h_2, c_f, s2, s3)) | m_c_h_element_v_in1(c_e_h_2, c_f, s2)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28891, 28890])).
% 80.27/52.56 tff(28893,plain,
% 80.27/52.56 ($false),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28892, 575, 28812, 28886, 28844])).
% 80.27/52.56 tff(28894,plain,(m_c_h_element_v_out(c_e_h_2, c_f, s2) | (~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.56 tff(28895,plain,
% 80.27/52.56 ((~m_c_h_element_v_out(c_e_h_2, c_f, s3)) | m_c_h_element_v_in2(c_e_h_2, c_f, s2)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28894, 14138])).
% 80.27/52.56 tff(28896,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_2, c_f, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28895, 28811])).
% 80.27/52.56 tff(28897,plain,
% 80.27/52.56 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s3))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28898,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s3))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28899,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)) | m_c_h_element_v_out(c_e_h_2, c_f, s3)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 80.27/52.56 tff(28900,plain,
% 80.27/52.56 (~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28899, 397, 28896])).
% 80.27/52.56 tff(28901,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_q, s3)), introduced(assumption)).
% 80.27/52.56 tff(28902,assumption,(node20(c_e_h_2, c_q, s3)), introduced(assumption)).
% 80.27/52.56 tff(28903,plain,
% 80.27/52.56 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s3))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28904,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s3))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28905,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_q, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_q, s3)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 80.27/52.56 tff(28906,plain,
% 80.27/52.56 ($false),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28905, 22, 28902, 28901])).
% 80.27/52.56 tff(28907,plain,(m_and_h_gate_v_in1(c_e_h_2, c_q, s3) | (~node20(c_e_h_2, c_q, s3))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.56 tff(28908,plain,
% 80.27/52.56 (~node20(c_e_h_2, c_q, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28907, 28900])).
% 80.27/52.56 tff(28909,assumption,(~node20(c_e_h_2, c_q, s3)), introduced(assumption)).
% 80.27/52.56 tff(28910,assumption,(m_and_h_gate_v_out(c_e_h_2, c_q, s4)), introduced(assumption)).
% 80.27/52.56 tff(28911,assumption,(node21(c_e_h_2, c_q, s3, s4)), introduced(assumption)).
% 80.27/52.56 tff(28912,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4)))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28913,plain,
% 80.27/52.56 ((node20(c_e_h_2, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node21(c_e_h_2, c_q, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4)))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28914,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node21(c_e_h_2, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4))))),
% 80.27/52.56 inference(monotonicity,[status(thm)],[28913])).
% 80.27/52.56 tff(28915,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node21(c_e_h_2, c_q, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4)))),
% 80.27/52.56 inference(transitivity,[status(thm)],[28914, 28912])).
% 80.27/52.56 tff(28916,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_2, c_q, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node21(c_e_h_2, c_q, s3, s4)))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28917,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3) | (~node21(c_e_h_2, c_q, s3, s4))),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28916, 28915])).
% 80.27/52.56 tff(28918,plain,
% 80.27/52.56 ($false),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28917, 348, 28910, 28911, 28909])).
% 80.27/52.56 tff(28919,plain,((~node21(c_e_h_2, c_q, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | node20(c_e_h_2, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.56 tff(28920,plain,
% 80.27/52.56 (~node21(c_e_h_2, c_q, s3, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28919, 28910, 28909])).
% 80.27/52.56 tff(28921,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_q, s3, s4) | node22(c_e_h_2, c_q, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_q, s3, s4) | node22(c_e_h_2, c_q, s3, s4))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28922,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_2, c_q, s3, s4) | node22(c_e_h_2, c_q, s3, s4))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28923,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_2, c_q, s3, s4) | node22(c_e_h_2, c_q, s3, s4)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 80.27/52.56 tff(28924,plain,
% 80.27/52.56 (node21(c_e_h_2, c_q, s3, s4) | node22(c_e_h_2, c_q, s3, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28923, 383, 711])).
% 80.27/52.56 tff(28925,plain,
% 80.27/52.56 (node22(c_e_h_2, c_q, s3, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28924, 28920])).
% 80.27/52.56 tff(28926,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_q, s3)), introduced(assumption)).
% 80.27/52.56 tff(28927,plain,
% 80.27/52.56 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node22(c_e_h_2, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node22(c_e_h_2, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28928,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node22(c_e_h_2, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28929,plain,
% 80.27/52.56 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | (~node22(c_e_h_2, c_q, s3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28928, 28927])).
% 80.27/52.56 tff(28930,plain,
% 80.27/52.56 ($false),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28929, 437, 28910, 28926, 28925])).
% 80.27/52.56 tff(28931,plain,((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3) | node20(c_e_h_2, c_q, s3)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.56 tff(28932,plain,
% 80.27/52.56 ((~m_and_h_gate_v_out(c_e_h_2, c_q, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28931, 28908])).
% 80.27/52.56 tff(28933,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28932, 28804])).
% 80.27/52.56 tff(28934,plain,
% 80.27/52.56 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s4))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28935,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s4))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28936,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node3(c_e_h_2, c_e_h_3, s4)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 80.27/52.56 tff(28937,plain,
% 80.27/52.56 (node3(c_e_h_2, c_e_h_3, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28936, 1794, 1791])).
% 80.27/52.56 tff(28938,plain,
% 80.27/52.56 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s4)) | (~node3(c_e_h_2, c_e_h_3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s4)) | (~node3(c_e_h_2, c_e_h_3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s4))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28939,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_3, s4)) | (~node3(c_e_h_2, c_e_h_3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s4))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28940,plain,
% 80.27/52.56 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_3, s4)) | (~node3(c_e_h_2, c_e_h_3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 80.27/52.56 tff(28941,plain,
% 80.27/52.56 ((~m_cell_v_ack(c_e_h_3, s4)) | m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28940, 1808, 28937])).
% 80.27/52.56 tff(28942,plain,
% 80.27/52.56 (~m_cell_v_ack(c_e_h_3, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28941, 28933])).
% 80.27/52.56 tff(28943,plain,
% 80.27/52.56 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)) | m_cell_v_ack(c_e_h_3, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)) | m_cell_v_ack(c_e_h_3, s4))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28944,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)) | m_cell_v_ack(c_e_h_3, s4))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28945,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)) | m_cell_v_ack(c_e_h_3, s4)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 80.27/52.56 tff(28946,plain,
% 80.27/52.56 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28945, 1820, 28942])).
% 80.27/52.56 tff(28947,plain,
% 80.27/52.56 (~m_cell_v_ack(c_e_h_3, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[14029, 28804])).
% 80.27/52.56 tff(28948,plain,
% 80.27/52.56 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)) | m_cell_v_ack(c_e_h_3, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)) | m_cell_v_ack(c_e_h_3, s3))),
% 80.27/52.56 inference(rewrite,[status(thm)],[])).
% 80.27/52.56 tff(28949,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)) | m_cell_v_ack(c_e_h_3, s3))),
% 80.27/52.56 inference(quant_inst,[status(thm)],[])).
% 80.27/52.56 tff(28950,plain,
% 80.27/52.56 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)) | m_cell_v_ack(c_e_h_3, s3)),
% 80.27/52.56 inference(modus_ponens,[status(thm)],[28949, 28948])).
% 80.27/52.56 tff(28951,plain,
% 80.27/52.56 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[28950, 1820, 28947])).
% 80.27/52.56 tff(28952,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[17756, 17784, 20595])).
% 80.27/52.56 tff(28953,plain,
% 80.27/52.56 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26653, 28952])).
% 80.27/52.56 tff(28954,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26739, 26523, 28953, 26377, 6423])).
% 80.27/52.56 tff(28955,plain,
% 80.27/52.56 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8078, 8, 28954])).
% 80.27/52.56 tff(28956,plain,
% 80.27/52.56 (~node20(c_e_h_1, c_i, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8398, 22, 28955])).
% 80.27/52.56 tff(28957,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8394, 28956, 18712])).
% 80.27/52.56 tff(28958,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8957, 8358, 8184])).
% 80.27/52.56 tff(28959,plain,
% 80.27/52.56 (~m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8348, 28958])).
% 80.27/52.56 tff(28960,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27518, 8358, 8184, 27948])).
% 80.27/52.56 tff(28961,plain,
% 80.27/52.56 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27530, 28960])).
% 80.27/52.56 tff(28962,plain,
% 80.27/52.56 (~node20(c_e_h_1, c_q, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27538, 28961])).
% 80.27/52.56 tff(28963,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[17974, 17556, 8001, 8037])).
% 80.27/52.56 tff(28964,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8340, 28963, 8331])).
% 80.27/52.56 tff(28965,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[21017, 28964])).
% 80.27/52.56 tff(28966,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8073, 26885, 8001])).
% 80.27/52.56 tff(28967,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[12652, 28966])).
% 80.27/52.56 tff(28968,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18313, 28967, 18373, 18273])).
% 80.27/52.56 tff(28969,plain,
% 80.27/52.56 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18387, 3886, 28968])).
% 80.27/52.56 tff(28970,plain,
% 80.27/52.56 (~node9(c_e_h_1, c_m, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18391, 238, 28969])).
% 80.27/52.56 tff(28971,plain,
% 80.27/52.56 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18422, 28970, 26891])).
% 80.27/52.56 tff(28972,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[20765, 28971])).
% 80.27/52.56 tff(28973,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18463, 28963])).
% 80.27/52.56 tff(28974,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18364, 28973, 18282, 18273, 28967])).
% 80.27/52.56 tff(28975,plain,
% 80.27/52.56 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[21045, 28974, 28972, 28965])).
% 80.27/52.56 tff(28976,plain,
% 80.27/52.56 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18465, 17556, 12656, 16373, 8001, 8037, 17541])).
% 80.27/52.56 tff(28977,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_c, s7)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[16007, 17780, 18064])).
% 80.27/52.56 tff(28978,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[17756, 20595, 28977])).
% 80.27/52.56 tff(28979,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18674, 18646, 26613])).
% 80.27/52.56 tff(28980,plain,
% 80.27/52.56 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18720, 28979])).
% 80.27/52.56 tff(28981,plain,
% 80.27/52.56 (~node24(s15)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[18724, 9500, 28980])).
% 80.27/52.56 tff(28982,plain,
% 80.27/52.56 (~m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26653, 28978])).
% 80.27/52.56 tff(28983,plain,
% 80.27/52.56 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26739, 28982, 26523, 16060, 6423])).
% 80.27/52.56 tff(28984,plain,
% 80.27/52.56 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8078, 8, 28983])).
% 80.27/52.56 tff(28985,plain,
% 80.27/52.56 (~node20(c_e_h_1, c_i, s10)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8398, 22, 28984])).
% 80.27/52.56 tff(28986,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8394, 28985, 7993])).
% 80.27/52.56 tff(28987,plain,
% 80.27/52.56 (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[8190, 28986])).
% 80.27/52.56 tff(28988,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27592, 28987, 28965, 18646, 18273, 28966, 18282])).
% 80.27/52.56 tff(28989,plain,
% 80.27/52.56 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27825, 28988, 12655, 21750, 26770, 18547, 27869, 22080, 18758, 27600, 21070, 21061, 27602, 28976, 28975, 28981])).
% 80.27/52.56 tff(28990,plain,
% 80.27/52.56 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26776, 28986])).
% 80.27/52.56 tff(28991,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[26882, 28990, 15878, 20035, 27947])).
% 80.27/52.56 tff(28992,plain,
% 80.27/52.56 (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.27/52.56 inference(unit_resolution,[status(thm)],[27560, 28991, 27540])).
% 80.27/52.56 tff(28993,plain,
% 80.27/52.56 (~m_cell_v_ack(c_e_h_2, s14)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[25854, 28992])).
% 80.27/52.57 tff(28994,plain,
% 80.27/52.57 (m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[25845, 28993])).
% 80.27/52.57 tff(28995,plain,
% 80.27/52.57 (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[26754, 17780, 6894, 17541])).
% 80.27/52.57 tff(28996,plain,
% 80.27/52.57 (~m_cell_v_ack(c_e_h_2, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[26991, 28991])).
% 80.27/52.57 tff(28997,plain,
% 80.27/52.57 (m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27000, 28996])).
% 80.27/52.57 tff(28998,plain,
% 80.27/52.57 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14) | m_user_v_ack(c_e_h_1, c_u, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13))),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27410, 21900, 21881])).
% 80.27/52.57 tff(28999,plain,
% 80.27/52.57 (m_mutex_h_half_v_out(c_e_h_1, c_a, s14)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[28998, 28997, 15780, 8001, 21061, 12656, 18547, 21070, 28966, 28987, 26770, 9493, 17780, 28978, 28976, 28974, 28995, 28972])).
% 80.27/52.57 tff(29000,plain,
% 80.27/52.57 (m_and_h_gate_v_in1(c_e_h_1, c_c, s14)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[25809, 28999])).
% 80.27/52.57 tff(29001,plain,
% 80.27/52.57 (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s14)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | node26(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_in2(c_e_h_1, c_e, s11) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_c, s8) | node20(c_e_h_1, c_c, s6) | node20(c_e_h_1, c_c, s5) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14))),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27568, 21900, 21881])).
% 80.27/52.57 tff(29002,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29001, 29000, 28994, 12654, 12656, 21061, 18547, 18758, 8001, 8037, 21070, 28966, 28987, 26770, 28989, 17780, 28978, 28976, 15780, 28965, 28975])).
% 80.27/52.57 tff(29003,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_c, s5) | m_user_v_ack(c_e_h_1, c_u, s10) | node20(c_e_h_1, c_q, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~until27(s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | m_c_h_element_v_in2(c_e_h_1, c_e, s12) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29004,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29003, 28962, 28959, 12656, 21061, 18547, 8001, 8037, 21070, 15780, 9493, 12654, 12655, 22080, 15878, 20035, 18646, 18273, 18282, 7993, 26523, 16060, 6423, 6894, 17541, 16373])).
% 80.27/52.57 tff(29005,plain,(node20(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s5) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s10) | m_c_h_element_v_in1(c_e_h_1, c_e, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_c, s5) | m_user_v_ack(c_e_h_1, c_u, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | (~until27(s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s4) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s9)) | m_and_h_gate_v_out(c_e_h_1, c_i, s11)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29006,plain,
% 80.27/52.57 (node20(c_e_h_1, c_i, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29005, 28957, 21061, 18547, 17541, 17906, 21070, 17782, 9493, 12654, 12655, 21743, 17863, 18973, 18741, 20738, 18063, 18712, 20772, 26377, 6423, 20723, 17626, 18226, 26523])).
% 80.27/52.57 tff(29007,plain,
% 80.27/52.57 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8182, 29006])).
% 80.27/52.57 tff(29008,plain,
% 80.27/52.57 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8174, 29007])).
% 80.27/52.57 tff(29009,plain,
% 80.27/52.57 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8166, 29008, 28954])).
% 80.27/52.57 tff(29010,plain,
% 80.27/52.57 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[6065, 29009])).
% 80.27/52.57 tff(29011,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_l, s10)), introduced(assumption)).
% 80.27/52.57 tff(29012,plain,
% 80.27/52.57 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29013,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29014,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29013, 29012])).
% 80.27/52.57 tff(29015,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29014, 3838, 16457, 29011])).
% 80.27/52.57 tff(29016,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s10)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29017,plain,
% 80.27/52.57 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29016, 18060])).
% 80.27/52.57 tff(29018,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_l, s10)), introduced(assumption)).
% 80.27/52.57 tff(29019,assumption,(node20(c_e_h_1, c_l, s10)), introduced(assumption)).
% 80.27/52.57 tff(29020,plain,
% 80.27/52.57 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s10))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29021,plain,
% 80.27/52.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s10))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29022,plain,
% 80.27/52.57 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s10)),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29021, 29020])).
% 80.27/52.57 tff(29023,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29022, 334, 29019, 29018])).
% 80.27/52.57 tff(29024,plain,(m_and_h_gate_v_in2(c_e_h_1, c_l, s10) | (~node20(c_e_h_1, c_l, s10))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29025,plain,
% 80.27/52.57 (~node20(c_e_h_1, c_l, s10)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29024, 29017])).
% 80.27/52.57 tff(29026,plain,
% 80.27/52.57 (^[I0: $i, X: $i] : refl(((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X)) <=> ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X)))),
% 80.27/52.57 inference(bind,[status(th)],[])).
% 80.27/52.57 tff(29027,plain,
% 80.27/52.57 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(quant_intro,[status(thm)],[29026])).
% 80.27/52.57 tff(29028,plain,
% 80.27/52.57 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X)) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29029,plain,
% 80.27/52.57 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in2(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_j, X))) <=> ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X)))),
% 80.27/52.57 inference(bind,[status(th)],[])).
% 80.27/52.57 tff(29030,plain,
% 80.27/52.57 (![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_j, X))) <=> ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(quant_intro,[status(thm)],[29029])).
% 80.27/52.57 tff(29031,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in2(I0, c_h, X) | (~m_or_h_gate_v_out(I0, c_j, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_33')).
% 80.27/52.57 tff(29032,plain,
% 80.27/52.57 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29031, 29030])).
% 80.27/52.57 tff(29033,plain,
% 80.27/52.57 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29032, 29028])).
% 80.27/52.57 tff(29034,plain,(
% 80.27/52.57 ![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(skolemize,[status(sab)],[29033])).
% 80.27/52.57 tff(29035,plain,
% 80.27/52.57 (![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29034, 29027])).
% 80.27/52.57 tff(29036,plain,
% 80.27/52.57 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29037,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29038,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12)),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29037, 29036])).
% 80.27/52.57 tff(29039,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29038, 29035, 20224, 21070])).
% 80.27/52.57 tff(29040,plain,((~m_or_h_gate_v_out(c_e_h_2, c_j, s12)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29041,plain,
% 80.27/52.57 (~m_or_h_gate_v_out(c_e_h_2, c_j, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29040, 21070])).
% 80.27/52.57 tff(29042,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s14)), introduced(assumption)).
% 80.27/52.57 tff(29043,assumption,(~m_c_h_element_v_out(c_e_h_1, c_f, s14)), introduced(assumption)).
% 80.27/52.57 tff(29044,plain,
% 80.27/52.57 (m_or_h_gate_v_in2(c_e_h_1, c_g, s9)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27632, 26523, 12655, 12654, 17541, 18708, 29041, 20772, 18973])).
% 80.27/52.57 tff(29045,plain,
% 80.27/52.57 (^[I0: $i, X: $i, I1: $i] : refl(((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X))) <=> ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X))))),
% 80.27/52.57 inference(bind,[status(th)],[])).
% 80.27/52.57 tff(29046,plain,
% 80.27/52.57 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))),
% 80.27/52.57 inference(quant_intro,[status(thm)],[29045])).
% 80.27/52.57 tff(29047,plain,
% 80.27/52.57 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X))) <=> ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29048,axiom,(![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_or_h_gate_3')).
% 80.27/52.57 tff(29049,plain,
% 80.27/52.57 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29048, 29047])).
% 80.27/52.57 tff(29050,plain,(
% 80.27/52.57 ![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))),
% 80.27/52.57 inference(skolemize,[status(sab)],[29049])).
% 80.27/52.57 tff(29051,plain,
% 80.27/52.57 (![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29050, 29046])).
% 80.27/52.57 tff(29052,plain,
% 80.27/52.57 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29053,plain,
% 80.27/52.57 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29054,plain,
% 80.27/52.57 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29053, 29052])).
% 80.27/52.57 tff(29055,plain,
% 80.27/52.57 (~node4(c_e_h_1, c_g, s9)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29054, 29051, 29044])).
% 80.27/52.57 tff(29056,assumption,(~node4(c_e_h_1, c_g, s9)), introduced(assumption)).
% 80.27/52.57 tff(29057,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s12)), introduced(assumption)).
% 80.27/52.57 tff(29058,plain,
% 80.27/52.57 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8394, 8833, 18712])).
% 80.27/52.57 tff(29059,plain,
% 80.27/52.57 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[26776, 29058])).
% 80.27/52.57 tff(29060,plain,
% 80.27/52.57 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[26843, 29059, 20773])).
% 80.27/52.57 tff(29061,plain,
% 80.27/52.57 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[26882, 29059, 20772, 18973, 20258])).
% 80.27/52.57 tff(29062,plain,
% 80.27/52.57 (node20(c_e_h_1, c_q, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27560, 29061, 25999])).
% 80.27/52.57 tff(29063,plain,
% 80.27/52.57 (m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27538, 29062])).
% 80.27/52.57 tff(29064,plain,
% 80.27/52.57 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27530, 29063])).
% 80.27/52.57 tff(29065,plain,
% 80.27/52.57 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27516, 29064, 29060])).
% 80.27/52.57 tff(29066,plain,
% 80.27/52.57 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[27427, 29065])).
% 80.27/52.57 tff(29067,assumption,(~node4(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.27/52.57 tff(29068,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29069,plain,
% 80.27/52.57 ((m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s11, s12))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29070,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12))))),
% 80.27/52.57 inference(monotonicity,[status(thm)],[29069])).
% 80.27/52.57 tff(29071,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(transitivity,[status(thm)],[29070, 29068])).
% 80.27/52.57 tff(29072,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~node18(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29073,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s11, s12))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 80.27/52.57 tff(29074,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29073, 6627, 29057, 8856, 8083])).
% 80.27/52.57 tff(29075,plain,((~node18(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29076,plain,
% 80.27/52.57 (~node18(c_e_h_1, c_h, s11, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29075, 29057, 8083])).
% 80.27/52.57 tff(29077,plain,
% 80.27/52.57 (node17(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8869, 29076])).
% 80.27/52.57 tff(29078,plain,
% 80.27/52.57 (~node16(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8904, 29077])).
% 80.27/52.57 tff(29079,plain,
% 80.27/52.57 (m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8893, 1172, 29077, 8825])).
% 80.27/52.57 tff(29080,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s11)), introduced(assumption)).
% 80.27/52.57 tff(29081,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29082,plain,
% 80.27/52.57 (((~node14(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12)) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29083,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12))))),
% 80.27/52.57 inference(monotonicity,[status(thm)],[29082])).
% 80.27/52.57 tff(29084,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(transitivity,[status(thm)],[29083, 29081])).
% 80.27/52.57 tff(29085,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29086,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node14(c_e_h_1, c_h, s11, s12))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29085, 29084])).
% 80.27/52.57 tff(29087,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29086, 20645, 29057, 8908, 29080])).
% 80.27/52.57 tff(29088,plain,((~node14(c_e_h_1, c_h, s11, s12)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29089,plain,
% 80.27/52.57 (~node14(c_e_h_1, c_h, s11, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29088, 29079, 29057])).
% 80.27/52.57 tff(29090,plain,
% 80.27/52.57 (node15(c_e_h_1, c_h, s11, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8854, 29089, 29078])).
% 80.27/52.57 tff(29091,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29092,plain,
% 80.27/52.57 ((m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29093,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12))))),
% 80.27/52.57 inference(monotonicity,[status(thm)],[29092])).
% 80.27/52.57 tff(29094,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)))),
% 80.27/52.57 inference(transitivity,[status(thm)],[29093, 29091])).
% 80.27/52.57 tff(29095,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29096,plain,
% 80.27/52.57 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node15(c_e_h_1, c_h, s11, s12))),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29095, 29094])).
% 80.27/52.57 tff(29097,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29096, 20664, 29057, 29090, 8083])).
% 80.27/52.57 tff(29098,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29099,plain,
% 80.27/52.57 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29098, 8083, 29057])).
% 80.27/52.57 tff(29100,plain,
% 80.27/52.57 (~node18(c_e_h_1, c_h, s11, s12)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29075, 8083, 29057])).
% 80.27/52.57 tff(29101,plain,
% 80.27/52.57 (node17(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8869, 29100])).
% 80.27/52.57 tff(29102,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[8878, 541, 8871, 29080, 8836])).
% 80.27/52.57 tff(29103,plain,((~node17(c_e_h_1, c_h, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29104,plain,
% 80.27/52.57 (~m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29103, 29101, 29099])).
% 80.27/52.57 tff(29105,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s11)), introduced(assumption)).
% 80.27/52.57 tff(29106,plain,
% 80.27/52.57 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11))),
% 80.27/52.57 inference(rewrite,[status(thm)],[])).
% 80.27/52.57 tff(29107,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11))),
% 80.27/52.57 inference(quant_inst,[status(thm)],[])).
% 80.27/52.57 tff(29108,plain,
% 80.27/52.57 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 80.27/52.57 inference(modus_ponens,[status(thm)],[29107, 29106])).
% 80.27/52.57 tff(29109,plain,
% 80.27/52.57 ($false),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29108, 6651, 29105, 8838])).
% 80.27/52.57 tff(29110,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 80.27/52.57 tff(29111,plain,
% 80.27/52.57 (~m_or_h_gate_v_out(c_e_h_1, c_g, s11)),
% 80.27/52.57 inference(unit_resolution,[status(thm)],[29110, 29104])).
% 80.27/52.57 tff(29112,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s11)), introduced(assumption)).
% 80.27/52.57 tff(29113,assumption,(node5(c_e_h_1, c_g, s10, s11)), introduced(assumption)).
% 80.27/52.57 tff(29114,plain,
% 80.27/52.57 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29115,plain,
% 80.32/52.58 ((node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29116,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11))))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29115])).
% 80.32/52.58 tff(29117,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29116, 29114])).
% 80.32/52.58 tff(29118,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29119,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10) | (~node5(c_e_h_1, c_g, s10, s11))),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29118, 29117])).
% 80.32/52.58 tff(29120,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29119, 6671, 29113, 29112, 29067])).
% 80.32/52.58 tff(29121,plain,((~node5(c_e_h_1, c_g, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | node4(c_e_h_1, c_g, s10)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29122,plain,
% 80.32/52.58 (~node5(c_e_h_1, c_g, s10, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29121, 29112, 29067])).
% 80.32/52.58 tff(29123,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29124,plain,
% 80.32/52.58 ((node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11) | (~trans(s10, s11))) <=> ((~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29125,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29124])).
% 80.32/52.58 tff(29126,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11) | (~trans(s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29125, 29123])).
% 80.32/52.58 tff(29127,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11) | (~trans(s10, s11)))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29128,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s10, s11)) | node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11)),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29127, 29126])).
% 80.32/52.58 tff(29129,plain,
% 80.32/52.58 (node6(c_e_h_1, c_g, s10, s11) | node5(c_e_h_1, c_g, s10, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29128, 1870, 8015])).
% 80.32/52.58 tff(29130,plain,
% 80.32/52.58 (node6(c_e_h_1, c_g, s10, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29129, 29122])).
% 80.32/52.58 tff(29131,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29132,plain,
% 80.32/52.58 ((m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29133,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11))))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29132])).
% 80.32/52.58 tff(29134,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29133, 29131])).
% 80.32/52.58 tff(29135,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29136,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~node6(c_e_h_1, c_g, s10, s11))),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 80.32/52.58 tff(29137,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29136, 6691, 29130, 26910, 29112])).
% 80.32/52.58 tff(29138,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | node4(c_e_h_1, c_g, s10)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29139,plain,
% 80.32/52.58 (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29138, 29111, 29067])).
% 80.32/52.58 tff(29140,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29141,plain,
% 80.32/52.58 ((m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9))) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29142,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10))))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29141])).
% 80.32/52.58 tff(29143,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10)))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29142, 29140])).
% 80.32/52.58 tff(29144,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~node6(c_e_h_1, c_g, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29145,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)) | (~node6(c_e_h_1, c_g, s9, s10))),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 80.32/52.58 tff(29146,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29145, 6691, 26921, 26953, 26662])).
% 80.32/52.58 tff(29147,plain,((~node6(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29148,plain,
% 80.32/52.58 (~node6(c_e_h_1, c_g, s9, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29147, 26953, 26662])).
% 80.32/52.58 tff(29149,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | node4(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29150,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29151,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | node4(c_e_h_1, c_g, s9) | (~node5(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 80.32/52.58 tff(29152,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29151, 6671, 26911, 26953, 29056])).
% 80.32/52.58 tff(29153,plain,((~node5(c_e_h_1, c_g, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_g, s10) | node4(c_e_h_1, c_g, s9)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29154,plain,
% 80.32/52.58 (~node5(c_e_h_1, c_g, s9, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29153, 26953, 29056])).
% 80.32/52.58 tff(29155,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[26937, 29154, 29148])).
% 80.32/52.58 tff(29156,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s10) | node4(c_e_h_1, c_g, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s9))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29157,plain,
% 80.32/52.58 (~m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29156, 29139, 29056])).
% 80.32/52.58 tff(29158,plain,
% 80.32/52.58 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[26958, 29139])).
% 80.32/52.58 tff(29159,plain,
% 80.32/52.58 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[26951, 29158, 8083])).
% 80.32/52.58 tff(29160,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[26737, 29159, 29157, 6435, 6423])).
% 80.32/52.58 tff(29161,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | node4(c_e_h_1, c_g, s9) | node4(c_e_h_1, c_g, s10) | m_c_h_element_v_out(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29162,plain,
% 80.32/52.58 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29161, 29056, 6423, 6435, 29067, 29057])).
% 80.32/52.58 tff(29163,plain,
% 80.32/52.58 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8174, 29162])).
% 80.32/52.58 tff(29164,plain,
% 80.32/52.58 (~node20(c_e_h_1, c_i, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8182, 29163])).
% 80.32/52.58 tff(29165,plain,
% 80.32/52.58 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8957, 29164, 8350])).
% 80.32/52.58 tff(29166,plain,
% 80.32/52.58 (node20(c_e_h_1, c_i, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8394, 29165, 7993])).
% 80.32/52.58 tff(29167,plain,
% 80.32/52.58 (m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8398, 22, 29166])).
% 80.32/52.58 tff(29168,plain,
% 80.32/52.58 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[8078, 8, 29167])).
% 80.32/52.58 tff(29169,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29170,plain,
% 80.32/52.58 ((m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node18(c_e_h_1, c_h, s10, s11))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29171,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11))))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29170])).
% 80.32/52.58 tff(29172,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node18(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29171, 29169])).
% 80.32/52.58 tff(29173,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~node18(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29174,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node18(c_e_h_1, c_h, s10, s11))),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 80.32/52.58 tff(29175,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29174, 6627, 6503, 8084, 8169])).
% 80.32/52.58 tff(29176,plain,((~node18(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.58 tff(29177,plain,
% 80.32/52.58 (~node18(c_e_h_1, c_h, s10, s11)),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29176, 8169, 6503])).
% 80.32/52.58 tff(29178,assumption,(~node16(c_e_h_1, c_h, s10)), introduced(assumption)).
% 80.32/52.58 tff(29179,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29180,plain,
% 80.32/52.58 ((m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(rewrite,[status(thm)],[])).
% 80.32/52.58 tff(29181,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11))))),
% 80.32/52.58 inference(monotonicity,[status(thm)],[29180])).
% 80.32/52.58 tff(29182,plain,
% 80.32/52.58 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.58 inference(transitivity,[status(thm)],[29181, 29179])).
% 80.32/52.58 tff(29183,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)))),
% 80.32/52.58 inference(quant_inst,[status(thm)],[])).
% 80.32/52.58 tff(29184,plain,
% 80.32/52.58 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~node15(c_e_h_1, c_h, s10, s11))),
% 80.32/52.58 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 80.32/52.58 tff(29185,plain,
% 80.32/52.58 ($false),
% 80.32/52.58 inference(unit_resolution,[status(thm)],[29184, 20664, 6503, 8144, 8169])).
% 80.32/52.59 tff(29186,plain,((~node15(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29187,plain,
% 80.32/52.59 (~node15(c_e_h_1, c_h, s10, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29186, 8169, 6503])).
% 80.32/52.59 tff(29188,plain,
% 80.32/52.59 (node14(c_e_h_1, c_h, s10, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8157, 29187, 29178])).
% 80.32/52.59 tff(29189,plain,
% 80.32/52.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29190,plain,
% 80.32/52.59 (((~node14(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11)) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29191,plain,
% 80.32/52.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11))))),
% 80.32/52.59 inference(monotonicity,[status(thm)],[29190])).
% 80.32/52.59 tff(29192,plain,
% 80.32/52.59 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11)))),
% 80.32/52.59 inference(transitivity,[status(thm)],[29191, 29189])).
% 80.32/52.59 tff(29193,plain,
% 80.32/52.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_h, s10, s11)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | m_c_h_element_v_out(c_e_h_1, c_h, s11))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29194,plain,
% 80.32/52.59 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | (~node14(c_e_h_1, c_h, s10, s11))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29193, 29192])).
% 80.32/52.59 tff(29195,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29194, 20645, 29188, 8116, 8169])).
% 80.32/52.59 tff(29196,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)) | node16(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29197,plain,
% 80.32/52.59 (node16(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29196, 8169, 8116, 6503])).
% 80.32/52.59 tff(29198,plain,
% 80.32/52.59 (~node17(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8142, 29197])).
% 80.32/52.59 tff(29199,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8104, 29198, 29177])).
% 80.32/52.59 tff(29200,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s10))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29201,plain,
% 80.32/52.59 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29200, 29168, 29162])).
% 80.32/52.59 tff(29202,plain,
% 80.32/52.59 (m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26737, 29168, 6435, 6423])).
% 80.32/52.59 tff(29203,plain,
% 80.32/52.59 (m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29156, 29202, 29056])).
% 80.32/52.59 tff(29204,plain,
% 80.32/52.59 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29205,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29206,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 80.32/52.59 tff(29207,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29206, 6651, 26947, 26910])).
% 80.32/52.59 tff(29208,plain,((~m_or_h_gate_v_out(c_e_h_1, c_g, s10)) | m_c_h_element_v_in1(c_e_h_1, c_h, s10)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29209,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29208, 29203, 29201])).
% 80.32/52.59 tff(29210,plain,(node4(c_e_h_1, c_g, s9) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | node4(c_e_h_1, c_g, s10) | m_c_h_element_v_out(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29211,plain,
% 80.32/52.59 (node4(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29210, 29066, 6423, 18712, 26378, 29056, 29057])).
% 80.32/52.59 tff(29212,plain,
% 80.32/52.59 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29213,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29214,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29213, 29212])).
% 80.32/52.59 tff(29215,plain,
% 80.32/52.59 (~m_or_h_gate_v_in2(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29214, 29051, 29211])).
% 80.32/52.59 tff(29216,plain,
% 80.32/52.59 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X)) <=> ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X)))),
% 80.32/52.59 inference(bind,[status(th)],[])).
% 80.32/52.59 tff(29217,plain,
% 80.32/52.59 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(quant_intro,[status(thm)],[29216])).
% 80.32/52.59 tff(29218,plain,
% 80.32/52.59 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29219,plain,
% 80.32/52.59 (^[I0: $i, X: $i] : rewrite((m_or_h_gate_v_in2(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_d, X))) <=> ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X)))),
% 80.32/52.59 inference(bind,[status(th)],[])).
% 80.32/52.59 tff(29220,plain,
% 80.32/52.59 (![I0: $i, X: $i] : (m_or_h_gate_v_in2(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_d, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(quant_intro,[status(thm)],[29219])).
% 80.32/52.59 tff(29221,axiom,(![I0: $i, X: $i] : (m_or_h_gate_v_in2(I0, c_g, X) | (~m_and_h_gate_v_out(I0, c_d, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_29')).
% 80.32/52.59 tff(29222,plain,
% 80.32/52.59 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 80.32/52.59 tff(29223,plain,
% 80.32/52.59 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29222, 29218])).
% 80.32/52.59 tff(29224,plain,(
% 80.32/52.59 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(skolemize,[status(sab)],[29223])).
% 80.32/52.59 tff(29225,plain,
% 80.32/52.59 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29224, 29217])).
% 80.32/52.59 tff(29226,plain,
% 80.32/52.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29227,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29228,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29227, 29226])).
% 80.32/52.59 tff(29229,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29228, 29225, 29215])).
% 80.32/52.59 tff(29230,plain,
% 80.32/52.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29231,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29232,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_or_h_gate_v_in2(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)) | m_or_h_gate_v_in2(c_e_h_1, c_g, s8)),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 80.32/52.59 tff(29233,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29232, 29225, 12660, 26523])).
% 80.32/52.59 tff(29234,plain,(m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s8))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29235,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29234, 26523])).
% 80.32/52.59 tff(29236,plain,
% 80.32/52.59 (~m_c_h_element_v_in2(c_e_h_1, c_e, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[7998, 26602])).
% 80.32/52.59 tff(29237,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_e, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8073, 26621, 29236])).
% 80.32/52.59 tff(29238,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18644, 29237, 26479, 26623, 26621, 26616, 26476])).
% 80.32/52.59 tff(29239,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18674, 29238, 26613])).
% 80.32/52.59 tff(29240,plain,
% 80.32/52.59 (~m_user_v_ack(c_e_h_1, c_u, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18720, 29239])).
% 80.32/52.59 tff(29241,plain,
% 80.32/52.59 (~node24(s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18724, 9500, 29240])).
% 80.32/52.59 tff(29242,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[12652, 29237])).
% 80.32/52.59 tff(29243,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18372, 26479])).
% 80.32/52.59 tff(29244,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18313, 27789, 29243, 29242])).
% 80.32/52.59 tff(29245,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18387, 3886, 29244])).
% 80.32/52.59 tff(29246,plain,
% 80.32/52.59 (~node9(c_e_h_1, c_m, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18391, 238, 29245])).
% 80.32/52.59 tff(29247,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[15941, 27648, 26488])).
% 80.32/52.59 tff(29248,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20262, 397, 29247])).
% 80.32/52.59 tff(29249,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_q, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20266, 22, 29248])).
% 80.32/52.59 tff(29250,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20290, 29249, 26496])).
% 80.32/52.59 tff(29251,plain,
% 80.32/52.59 (~m_cell_v_ack(c_e_h_2, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20299, 29250])).
% 80.32/52.59 tff(29252,plain,
% 80.32/52.59 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20785, 29251])).
% 80.32/52.59 tff(29253,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27682, 29252, 12654, 27997, 29237, 27991, 27988])).
% 80.32/52.59 tff(29254,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27737, 29253, 27991, 27988, 29237])).
% 80.32/52.59 tff(29255,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18463, 29254])).
% 80.32/52.59 tff(29256,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26979, 29255, 29246, 27792, 29244])).
% 80.32/52.59 tff(29257,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21017, 29253])).
% 80.32/52.59 tff(29258,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18422, 29246, 27792])).
% 80.32/52.59 tff(29259,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20765, 29258])).
% 80.32/52.59 tff(29260,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18364, 29255, 26479, 27789, 29242])).
% 80.32/52.59 tff(29261,plain,
% 80.32/52.59 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21045, 29260, 29259, 29257])).
% 80.32/52.59 tff(29262,plain,
% 80.32/52.59 (~m_or_h_gate_v_in2(c_e_h_2, c_j, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20303, 1820, 29251])).
% 80.32/52.59 tff(29263,plain,
% 80.32/52.59 (~m_or_h_gate_v_out(c_e_h_2, c_j, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20577, 29262, 26499])).
% 80.32/52.59 tff(29264,plain,
% 80.32/52.59 (~m_c_h_element_v_in2(c_e_h_2, c_h, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20585, 29263])).
% 80.32/52.59 tff(29265,plain,
% 80.32/52.59 (~m_user_v_ack(c_e_h_1, c_u, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18747, 29238])).
% 80.32/52.59 tff(29266,plain,
% 80.32/52.59 (~node24(s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[18755, 29265])).
% 80.32/52.59 tff(29267,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21939, 3886, 29261])).
% 80.32/52.59 tff(29268,plain,
% 80.32/52.59 (~node9(c_e_h_1, c_m, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21943, 238, 29267])).
% 80.32/52.59 tff(29269,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21963, 29268, 29256])).
% 80.32/52.59 tff(29270,plain,
% 80.32/52.59 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27070, 7347, 29269])).
% 80.32/52.59 tff(29271,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_r, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27074, 334, 29270])).
% 80.32/52.59 tff(29272,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27177, 29271, 29239])).
% 80.32/52.59 tff(29273,plain,
% 80.32/52.59 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27825, 29272, 12655, 21750, 28559, 27812, 27811, 27809, 27807, 29266, 28556, 29264, 29261, 27794, 29256, 29241])).
% 80.32/52.59 tff(29274,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_c, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25346, 29273])).
% 80.32/52.59 tff(29275,plain,
% 80.32/52.59 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27937, 29271, 21083, 28559, 27812, 27809, 27833, 26479, 26519, 26499, 12654, 27991, 26496, 27997, 26623, 26616, 26476, 26488, 26482, 26474, 21067])).
% 80.32/52.59 tff(29276,plain,
% 80.32/52.59 (m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25258, 29275])).
% 80.32/52.59 tff(29277,plain,
% 80.32/52.59 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25408, 29276, 12654])).
% 80.32/52.59 tff(29278,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25419, 29277])).
% 80.32/52.59 tff(29279,plain,
% 80.32/52.59 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25836, 29278, 28066, 29274])).
% 80.32/52.59 tff(29280,plain,
% 80.32/52.59 (m_cell_v_ack(c_e_h_2, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25845, 29279])).
% 80.32/52.59 tff(29281,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_q, s14)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[25854, 29280])).
% 80.32/52.59 tff(29282,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_c, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28564, 12656, 12654, 12655, 14361, 14845])).
% 80.32/52.59 tff(29283,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.32/52.59 tff(29284,plain,
% 80.32/52.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29285,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29286,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 80.32/52.59 tff(29287,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29286, 6731, 17880, 29283])).
% 80.32/52.59 tff(29288,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s10)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29289,plain,
% 80.32/52.59 (m_or_h_gate_v_in1(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29288, 29282])).
% 80.32/52.59 tff(29290,assumption,(node4(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.32/52.59 tff(29291,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_g, s10)), introduced(assumption)).
% 80.32/52.59 tff(29292,plain,
% 80.32/52.59 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29293,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10)))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29294,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s10)) | (~node4(c_e_h_1, c_g, s10))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 80.32/52.59 tff(29295,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29294, 6717, 29291, 29290])).
% 80.32/52.59 tff(29296,plain,((~node4(c_e_h_1, c_g, s10)) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s10))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29297,plain,
% 80.32/52.59 (~node4(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29296, 29289])).
% 80.32/52.59 tff(29298,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26739, 26661, 26506, 16060, 6423])).
% 80.32/52.59 tff(29299,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_f, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[15941, 27947, 26488])).
% 80.32/52.59 tff(29300,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20262, 397, 29299])).
% 80.32/52.59 tff(29301,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_q, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20266, 22, 29300])).
% 80.32/52.59 tff(29302,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[20290, 29301, 26496])).
% 80.32/52.59 tff(29303,plain,
% 80.32/52.59 (m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27960, 26661, 26488, 26493, 7993, 26513, 25999, 26506, 16060, 6423])).
% 80.32/52.59 tff(29304,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26599, 29303])).
% 80.32/52.59 tff(29305,plain,
% 80.32/52.59 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26578, 29304, 17727])).
% 80.32/52.59 tff(29306,plain,
% 80.32/52.59 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16218, 29305])).
% 80.32/52.59 tff(29307,plain,
% 80.32/52.59 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16229, 29306])).
% 80.32/52.59 tff(29308,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16295, 29307])).
% 80.32/52.59 tff(29309,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16287, 29308, 14361, 14845])).
% 80.32/52.59 tff(29310,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28519, 29309, 28498])).
% 80.32/52.59 tff(29311,plain,
% 80.32/52.59 (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28527, 29310])).
% 80.32/52.59 tff(29312,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28539, 29311, 29299])).
% 80.32/52.59 tff(29313,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26847, 397, 29312])).
% 80.32/52.59 tff(29314,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26851, 22, 29313])).
% 80.32/52.59 tff(29315,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26880, 29314, 29302])).
% 80.32/52.59 tff(29316,plain,
% 80.32/52.59 (node20(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27560, 29315, 25999])).
% 80.32/52.59 tff(29317,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27538, 29316])).
% 80.32/52.59 tff(29318,plain,
% 80.32/52.59 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27530, 29317])).
% 80.32/52.59 tff(29319,plain,
% 80.32/52.59 (m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27522, 29318, 7993, 29299, 29298])).
% 80.32/52.59 tff(29320,plain,
% 80.32/52.59 (m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26958, 29319])).
% 80.32/52.59 tff(29321,plain,
% 80.32/52.59 (m_or_h_gate_v_out(c_e_h_1, c_g, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29138, 29320, 29067])).
% 80.32/52.59 tff(29322,plain,
% 80.32/52.59 (m_c_h_element_v_in1(c_e_h_1, c_h, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29110, 29321])).
% 80.32/52.59 tff(29323,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8078, 8, 29298])).
% 80.32/52.59 tff(29324,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_i, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8398, 22, 29323])).
% 80.32/52.59 tff(29325,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8394, 29324, 7993])).
% 80.32/52.59 tff(29326,plain,
% 80.32/52.59 (node20(c_e_h_1, c_i, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27518, 29318, 29325, 29299])).
% 80.32/52.59 tff(29327,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8182, 29326])).
% 80.32/52.59 tff(29328,plain,
% 80.32/52.59 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8174, 29327])).
% 80.32/52.59 tff(29329,plain,
% 80.32/52.59 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29098, 29328, 29057])).
% 80.32/52.59 tff(29330,plain,
% 80.32/52.59 (~node18(c_e_h_1, c_h, s11, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29075, 29328, 29057])).
% 80.32/52.59 tff(29331,plain,
% 80.32/52.59 (node17(c_e_h_1, c_h, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[8869, 29330])).
% 80.32/52.59 tff(29332,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29103, 29331, 29329, 29322])).
% 80.32/52.59 tff(29333,plain,(m_or_h_gate_v_in1(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | node4(c_e_h_1, c_g, s10) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node20(c_e_h_1, c_d, s10) | m_and_h_gate_v_out(c_e_h_1, c_d, s8) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8) | m_and_h_gate_v_out(c_e_h_1, c_c, s7) | m_or_h_gate_v_out(c_e_h_1, c_g, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29334,plain,
% 80.32/52.59 (m_or_h_gate_v_in1(c_e_h_1, c_g, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29333, 26602, 29297, 29057, 29281, 28497, 14361, 14845, 27963, 26522, 26519])).
% 80.32/52.59 tff(29335,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_c, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26653, 29334])).
% 80.32/52.59 tff(29336,plain,
% 80.32/52.59 (node20(c_e_h_1, c_c, s7)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[17756, 29335, 27963])).
% 80.32/52.59 tff(29337,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_c, s7)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[17828, 29336])).
% 80.32/52.59 tff(29338,plain,
% 80.32/52.59 (m_mutex_h_half_v_out(c_e_h_1, c_a, s7)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[17721, 29337])).
% 80.32/52.59 tff(29339,plain,
% 80.32/52.59 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s6)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16094, 29338, 15281])).
% 80.32/52.59 tff(29340,plain,
% 80.32/52.59 (m_user_v_req(c_e_h_1, c_u, s6)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16100, 29339])).
% 80.32/52.59 tff(29341,plain,
% 80.32/52.59 (m_user_v_req(c_e_h_1, c_u, s7)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[15278, 29340])).
% 80.32/52.59 tff(29342,plain,
% 80.32/52.59 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s7)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[15417, 29341])).
% 80.32/52.59 tff(29343,plain,
% 80.32/52.59 (m_mutex_h_half_v_out(c_e_h_1, c_a, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[15409, 29342, 29338])).
% 80.32/52.59 tff(29344,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_c, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21212, 29343])).
% 80.32/52.59 tff(29345,plain,
% 80.32/52.59 (~node21(c_e_h_1, c_c, s8, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27974, 17839, 17786])).
% 80.32/52.59 tff(29346,plain,
% 80.32/52.59 (node22(c_e_h_1, c_c, s8, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[17813, 29345])).
% 80.32/52.59 tff(29347,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[21230, 6905, 17839, 29346, 17733])).
% 80.32/52.59 tff(29348,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s8)) | (~m_and_h_gate_v_in1(c_e_h_1, c_c, s8))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29349,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_c, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29348, 29335, 29344])).
% 80.32/52.59 tff(29350,plain,
% 80.32/52.59 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29351,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29352,plain,
% 80.32/52.59 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 80.32/52.59 tff(29353,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29352, 6731, 17785, 26907])).
% 80.32/52.59 tff(29354,plain,(m_or_h_gate_v_in1(c_e_h_1, c_g, s9) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s9))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29355,plain,
% 80.32/52.59 (m_or_h_gate_v_in1(c_e_h_1, c_g, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29354, 29349])).
% 80.32/52.59 tff(29356,plain,
% 80.32/52.59 (m_mutex_h_half_v_out(c_e_h_1, c_a, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16181, 29338])).
% 80.32/52.59 tff(29357,plain,
% 80.32/52.59 (m_mutex_h_half_v_other_h_out(c_e_h_1, c_b, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16218, 29356])).
% 80.32/52.59 tff(29358,plain,
% 80.32/52.59 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16229, 29357])).
% 80.32/52.59 tff(29359,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16295, 29358])).
% 80.32/52.59 tff(29360,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s10)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[16287, 29359, 14361, 14845])).
% 80.32/52.59 tff(29361,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_d, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28519, 29360, 28497])).
% 80.32/52.59 tff(29362,plain,
% 80.32/52.59 (~m_c_h_element_v_in1(c_e_h_1, c_f, s11)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28527, 29361])).
% 80.32/52.59 tff(29363,plain,
% 80.32/52.59 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[28539, 29362, 29247])).
% 80.32/52.59 tff(29364,plain,
% 80.32/52.59 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26847, 397, 29363])).
% 80.32/52.59 tff(29365,plain,
% 80.32/52.59 (~node20(c_e_h_1, c_q, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26851, 22, 29364])).
% 80.32/52.59 tff(29366,plain,
% 80.32/52.59 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[26880, 29365, 29250])).
% 80.32/52.59 tff(29367,plain,
% 80.32/52.59 (node20(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27560, 29366, 29281])).
% 80.32/52.59 tff(29368,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27538, 29367])).
% 80.32/52.59 tff(29369,plain,
% 80.32/52.59 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27530, 29368])).
% 80.32/52.59 tff(29370,plain,
% 80.32/52.59 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27516, 29369, 29363])).
% 80.32/52.59 tff(29371,plain,
% 80.32/52.59 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[27427, 29370])).
% 80.32/52.59 tff(29372,plain,
% 80.32/52.59 (node4(c_e_h_1, c_g, s9)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29210, 27833, 26519, 26602, 29371, 29297, 29057])).
% 80.32/52.59 tff(29373,plain,
% 80.32/52.59 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))),
% 80.32/52.59 inference(rewrite,[status(thm)],[])).
% 80.32/52.59 tff(29374,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9)))),
% 80.32/52.59 inference(quant_inst,[status(thm)],[])).
% 80.32/52.59 tff(29375,plain,
% 80.32/52.59 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_g, s9)) | (~node4(c_e_h_1, c_g, s9))),
% 80.32/52.59 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 80.32/52.59 tff(29376,plain,
% 80.32/52.59 ($false),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29375, 6717, 29372, 29355])).
% 80.32/52.59 tff(29377,plain,(m_mutex_h_half_v_out(c_e_h_1, c_a, s6) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_d, s8) | m_and_h_gate_v_in1(c_e_h_1, c_d, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.59 tff(29378,plain,
% 80.32/52.59 (m_and_h_gate_v_in1(c_e_h_1, c_d, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[29377, 29235, 17638, 17626, 12654, 12655, 29057])).
% 80.32/52.59 tff(29379,plain,
% 80.32/52.59 (m_mutex_h_half_v_out(c_e_h_1, c_b, s8)),
% 80.32/52.59 inference(unit_resolution,[status(thm)],[14843, 29378])).
% 80.32/52.59 tff(29380,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)), introduced(assumption)).
% 80.32/52.60 tff(29381,plain,
% 80.32/52.60 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_d, s9) | m_user_v_ack(c_e_h_1, c_u, s9))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_1, c_d, s9) | m_user_v_ack(c_e_h_1, c_u, s9))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29382,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_d, s9) | m_user_v_ack(c_e_h_1, c_u, s9))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29383,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_1, c_d, s9) | m_user_v_ack(c_e_h_1, c_u, s9)),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 80.32/52.60 tff(29384,plain,
% 80.32/52.60 ($false),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29383, 21369, 17397, 29380])).
% 80.32/52.60 tff(29385,plain,(m_and_h_gate_v_in2(c_e_h_1, c_d, s9) | m_user_v_ack(c_e_h_1, c_u, s9)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.60 tff(29386,plain,
% 80.32/52.60 (m_and_h_gate_v_in2(c_e_h_1, c_d, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29385, 21088])).
% 80.32/52.60 tff(29387,plain,
% 80.32/52.60 (m_or_h_gate_v_in2(c_e_h_1, c_g, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[27632, 26523, 12655, 12654, 17541, 18708, 20557, 15878, 18973])).
% 80.32/52.60 tff(29388,plain,
% 80.32/52.60 (m_and_h_gate_v_out(c_e_h_1, c_d, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[26512, 29387])).
% 80.32/52.60 tff(29389,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29390,plain,
% 80.32/52.60 ((m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~node22(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9))) <=> ((~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29391,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~node22(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9))))),
% 80.32/52.60 inference(monotonicity,[status(thm)],[29390])).
% 80.32/52.60 tff(29392,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~node22(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(transitivity,[status(thm)],[29391, 29389])).
% 80.32/52.60 tff(29393,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~node22(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29394,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9))),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29393, 29392])).
% 80.32/52.60 tff(29395,plain,
% 80.32/52.60 ($false),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29394, 6905, 16273, 16245, 14854])).
% 80.32/52.60 tff(29396,plain,((~node22(c_e_h_1, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_d, s9))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.60 tff(29397,plain,
% 80.32/52.60 (~node22(c_e_h_1, c_d, s9, s10)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29396, 29388, 16245])).
% 80.32/52.60 tff(29398,plain,
% 80.32/52.60 (node21(c_e_h_1, c_d, s9, s10)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[16283, 29397])).
% 80.32/52.60 tff(29399,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29400,plain,
% 80.32/52.60 (((~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10)) <=> (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29401,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9))))),
% 80.32/52.60 inference(monotonicity,[status(thm)],[29400])).
% 80.32/52.60 tff(29402,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)))),
% 80.32/52.60 inference(transitivity,[status(thm)],[29401, 29399])).
% 80.32/52.60 tff(29403,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)) | m_and_h_gate_v_out(c_e_h_1, c_d, s10))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29404,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_d, s9)) | (~node21(c_e_h_1, c_d, s9, s10)) | (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9))),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29403, 29402])).
% 80.32/52.60 tff(29405,plain,
% 80.32/52.60 (~m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29404, 7190, 29398, 29386, 16245])).
% 80.32/52.60 tff(29406,plain,
% 80.32/52.60 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29407,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29408,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) | m_and_h_gate_v_in1(c_e_h_1, c_d, s9)),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29407, 29406])).
% 80.32/52.60 tff(29409,plain,
% 80.32/52.60 (~m_mutex_h_half_v_out(c_e_h_1, c_b, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29408, 21393, 29405])).
% 80.32/52.60 tff(29410,assumption,(node13(c_e_h_1, c_b, s8, s9)), introduced(assumption)).
% 80.32/52.60 tff(29411,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node13(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node13(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29412,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node13(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8)))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29413,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node13(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29412, 29411])).
% 80.32/52.60 tff(29414,plain,
% 80.32/52.60 ($false),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29413, 7277, 29410, 16290, 14968])).
% 80.32/52.60 tff(29415,plain,((~node13(c_e_h_1, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_1, c_b, s8))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.60 tff(29416,plain,
% 80.32/52.60 (~node13(c_e_h_1, c_b, s8, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29415, 29409, 29379])).
% 80.32/52.60 tff(29417,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_1, c_b, s8, s9) | node13(c_e_h_1, c_b, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_1, c_b, s8, s9) | node13(c_e_h_1, c_b, s8, s9))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29418,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_1, c_b, s8, s9) | node13(c_e_h_1, c_b, s8, s9))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29419,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_1, c_b, s8, s9) | node13(c_e_h_1, c_b, s8, s9)),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 80.32/52.60 tff(29420,plain,
% 80.32/52.60 (node12(c_e_h_1, c_b, s8, s9) | node13(c_e_h_1, c_b, s8, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29419, 1020, 3713])).
% 80.32/52.60 tff(29421,plain,
% 80.32/52.60 (node12(c_e_h_1, c_b, s8, s9)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29420, 29416])).
% 80.32/52.60 tff(29422,assumption,(node12(c_e_h_1, c_b, s8, s9)), introduced(assumption)).
% 80.32/52.60 tff(29423,assumption,(m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)), introduced(assumption)).
% 80.32/52.60 tff(29424,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29425,plain,
% 80.32/52.60 (((~node12(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9)) <=> ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29426,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9))))),
% 80.32/52.60 inference(monotonicity,[status(thm)],[29425])).
% 80.32/52.60 tff(29427,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9)))),
% 80.32/52.60 inference(transitivity,[status(thm)],[29426, 29424])).
% 80.32/52.60 tff(29428,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29429,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9) | (~node12(c_e_h_1, c_b, s8, s9))),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29428, 29427])).
% 80.32/52.60 tff(29430,plain,
% 80.32/52.60 ($false),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29429, 7301, 29423, 29422, 16290])).
% 80.32/52.60 tff(29431,plain,((~node12(c_e_h_1, c_b, s8, s9)) | (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_1, c_b, s9)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.60 tff(29432,plain,
% 80.32/52.60 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29431, 29421, 29409])).
% 80.32/52.60 tff(29433,plain,
% 80.32/52.60 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s8))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29434,plain,
% 80.32/52.60 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s8))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29435,plain,
% 80.32/52.60 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_1, c_e_h_2)) | node1(c_e_h_1, c_e_h_2, s8)),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 80.32/52.60 tff(29436,plain,
% 80.32/52.60 (node1(c_e_h_1, c_e_h_2, s8)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29435, 2823, 1047])).
% 80.32/52.60 tff(29437,plain,
% 80.32/52.60 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29438,plain,
% 80.32/52.60 (((~node1(c_e_h_1, c_e_h_2, s8)) | (~m_cell_v_req(c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8)) <=> ((~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29439,plain,
% 80.32/52.60 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s8)) | (~m_cell_v_req(c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8))))),
% 80.32/52.60 inference(monotonicity,[status(thm)],[29438])).
% 80.32/52.60 tff(29440,plain,
% 80.32/52.60 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s8)) | (~m_cell_v_req(c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8)))),
% 80.32/52.60 inference(transitivity,[status(thm)],[29439, 29437])).
% 80.32/52.60 tff(29441,plain,
% 80.32/52.60 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_1, c_e_h_2, s8)) | (~m_cell_v_req(c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29442,plain,
% 80.32/52.60 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~node1(c_e_h_1, c_e_h_2, s8)) | m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8))),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 80.32/52.60 tff(29443,plain,
% 80.32/52.60 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s8) | (~m_cell_v_req(c_e_h_2, s8))),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29442, 14332, 29436])).
% 80.32/52.60 tff(29444,plain,
% 80.32/52.60 (~m_cell_v_req(c_e_h_2, s8)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29443, 29432])).
% 80.32/52.60 tff(29445,plain,
% 80.32/52.60 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s8)) | m_cell_v_req(c_e_h_2, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s8)) | m_cell_v_req(c_e_h_2, s8))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29446,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s8)) | m_cell_v_req(c_e_h_2, s8))),
% 80.32/52.60 inference(quant_inst,[status(thm)],[])).
% 80.32/52.60 tff(29447,plain,
% 80.32/52.60 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s8)) | m_cell_v_req(c_e_h_2, s8)),
% 80.32/52.60 inference(modus_ponens,[status(thm)],[29446, 29445])).
% 80.32/52.60 tff(29448,plain,
% 80.32/52.60 (~m_and_h_gate_v_out(c_e_h_2, c_p, s8)),
% 80.32/52.60 inference(unit_resolution,[status(thm)],[29447, 14352, 29444])).
% 80.32/52.60 tff(29449,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_p, s8)), introduced(assumption)).
% 80.32/52.60 tff(29450,assumption,(node22(c_e_h_2, c_p, s7, s8)), introduced(assumption)).
% 80.32/52.60 tff(29451,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29452,plain,
% 80.32/52.60 ((m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.60 inference(rewrite,[status(thm)],[])).
% 80.32/52.60 tff(29453,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8))))),
% 80.32/52.60 inference(monotonicity,[status(thm)],[29452])).
% 80.32/52.60 tff(29454,plain,
% 80.32/52.60 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.60 inference(transitivity,[status(thm)],[29453, 29451])).
% 80.32/52.60 tff(29455,plain,
% 80.32/52.60 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29456,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~node22(c_e_h_2, c_p, s7, s8))),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 80.32/52.61 tff(29457,plain,
% 80.32/52.61 ($false),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29456, 6905, 29450, 14341, 29449])).
% 80.32/52.61 tff(29458,plain,((~node22(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.61 tff(29459,plain,
% 80.32/52.61 (~node22(c_e_h_2, c_p, s7, s8)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29458, 14341, 29449])).
% 80.32/52.61 tff(29460,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_p, s7, s8) | node22(c_e_h_2, c_p, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_p, s7, s8) | node22(c_e_h_2, c_p, s7, s8))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29461,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_2, c_p, s7, s8) | node22(c_e_h_2, c_p, s7, s8))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29462,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_2, c_p, s7, s8) | node22(c_e_h_2, c_p, s7, s8)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29461, 29460])).
% 80.32/52.61 tff(29463,plain,
% 80.32/52.61 (node21(c_e_h_2, c_p, s7, s8) | node22(c_e_h_2, c_p, s7, s8)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29462, 383, 2456])).
% 80.32/52.61 tff(29464,plain,
% 80.32/52.61 (node21(c_e_h_2, c_p, s7, s8)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29463, 29459])).
% 80.32/52.61 tff(29465,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_p, s7)), introduced(assumption)).
% 80.32/52.61 tff(29466,plain,
% 80.32/52.61 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s7))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29467,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s7))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29468,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_2, c_n, s7)) | m_and_h_gate_v_in2(c_e_h_2, c_p, s7)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 80.32/52.61 tff(29469,plain,
% 80.32/52.61 (m_and_h_gate_v_in2(c_e_h_2, c_p, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29468, 14257, 11762])).
% 80.32/52.61 tff(29470,assumption,(node21(c_e_h_2, c_p, s7, s8)), introduced(assumption)).
% 80.32/52.61 tff(29471,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29472,plain,
% 80.32/52.61 (((~node21(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8)) <=> ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29473,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8))))),
% 80.32/52.61 inference(monotonicity,[status(thm)],[29472])).
% 80.32/52.61 tff(29474,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8)))),
% 80.32/52.61 inference(transitivity,[status(thm)],[29473, 29471])).
% 80.32/52.61 tff(29475,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_p, s7, s8)) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29476,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in2(c_e_h_2, c_p, s7)) | (~node21(c_e_h_2, c_p, s7, s8))),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29475, 29474])).
% 80.32/52.61 tff(29477,plain,
% 80.32/52.61 ($false),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29476, 7190, 29470, 29449, 29469, 29465])).
% 80.32/52.61 tff(29478,plain,((~node21(c_e_h_2, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8) | (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.61 tff(29479,plain,
% 80.32/52.61 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29478, 29464, 29449])).
% 80.32/52.61 tff(29480,plain,
% 80.32/52.61 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s7))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29481,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s7))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29482,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_2, c_p, s7)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29481, 29480])).
% 80.32/52.61 tff(29483,plain,
% 80.32/52.61 (~m_and_h_gate_v_out(c_e_h_2, c_k, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29482, 14241, 29479])).
% 80.32/52.61 tff(29484,plain,
% 80.32/52.61 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[28777, 2538, 13784])).
% 80.32/52.61 tff(29485,plain,
% 80.32/52.61 (~node20(c_e_h_2, c_k, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[28781, 22, 29484])).
% 80.32/52.61 tff(29486,plain,
% 80.32/52.61 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[28798, 29485, 14231])).
% 80.32/52.61 tff(29487,plain,
% 80.32/52.61 (~node22(c_e_h_2, c_k, s4, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13764, 29486, 13545])).
% 80.32/52.61 tff(29488,plain,
% 80.32/52.61 (node21(c_e_h_2, c_k, s4, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13769, 29487])).
% 80.32/52.61 tff(29489,plain,
% 80.32/52.61 (node20(c_e_h_2, c_k, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13773, 348, 29488, 29486])).
% 80.32/52.61 tff(29490,plain,
% 80.32/52.61 (m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13777, 22, 29489])).
% 80.32/52.61 tff(29491,plain,
% 80.32/52.61 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13781, 2538, 29490])).
% 80.32/52.61 tff(29492,plain,
% 80.32/52.61 (node4(c_e_h_2, c_g, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13814, 29491, 13784])).
% 80.32/52.61 tff(29493,plain,
% 80.32/52.61 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13818, 6717, 29492])).
% 80.32/52.61 tff(29494,plain,
% 80.32/52.61 (m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13848, 29491, 13646, 13537])).
% 80.32/52.61 tff(29495,plain,
% 80.32/52.61 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[13856, 29494])).
% 80.32/52.61 tff(29496,plain,
% 80.32/52.61 (m_and_h_gate_v_out(c_e_h_2, c_c, s4)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[14222, 29495])).
% 80.32/52.61 tff(29497,plain,
% 80.32/52.61 ($false),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[14226, 6731, 29496, 29493])).
% 80.32/52.61 tff(29498,plain,(m_or_h_gate_v_out(c_e_h_2, c_g, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.61 tff(29499,plain,
% 80.32/52.61 (m_or_h_gate_v_out(c_e_h_2, c_g, s5)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29498, 14231])).
% 80.32/52.61 tff(29500,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_k, s7)), introduced(assumption)).
% 80.32/52.61 tff(29501,assumption,(node22(c_e_h_2, c_k, s6, s7)), introduced(assumption)).
% 80.32/52.61 tff(29502,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29503,plain,
% 80.32/52.61 ((m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6))) <=> ((~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29504,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7)))),
% 80.32/52.61 inference(monotonicity,[status(thm)],[29503])).
% 80.32/52.61 tff(29505,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))),
% 80.32/52.61 inference(transitivity,[status(thm)],[29504, 29502])).
% 80.32/52.61 tff(29506,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29507,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29506, 29505])).
% 80.32/52.61 tff(29508,plain,
% 80.32/52.61 ($false),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29507, 6905, 29501, 14231, 29500])).
% 80.32/52.61 tff(29509,plain,((~node22(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.61 tff(29510,plain,
% 80.32/52.61 (~node22(c_e_h_2, c_k, s6, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29509, 14231, 29500])).
% 80.32/52.61 tff(29511,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_k, s6, s7) | node22(c_e_h_2, c_k, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_k, s6, s7) | node22(c_e_h_2, c_k, s6, s7))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29512,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_2, c_k, s6, s7) | node22(c_e_h_2, c_k, s6, s7))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29513,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_2, c_k, s6, s7) | node22(c_e_h_2, c_k, s6, s7)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 80.32/52.61 tff(29514,plain,
% 80.32/52.61 (node21(c_e_h_2, c_k, s6, s7) | node22(c_e_h_2, c_k, s6, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29513, 383, 1685])).
% 80.32/52.61 tff(29515,plain,
% 80.32/52.61 (node21(c_e_h_2, c_k, s6, s7)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29514, 29510])).
% 80.32/52.61 tff(29516,plain,
% 80.32/52.61 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29517,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29518,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 80.32/52.61 tff(29519,plain,
% 80.32/52.61 (m_and_h_gate_v_in2(c_e_h_2, c_k, s6) | m_c_h_element_v_out(c_e_h_2, c_h, s6)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29518, 13726])).
% 80.32/52.61 tff(29520,plain,
% 80.32/52.61 (m_and_h_gate_v_in2(c_e_h_2, c_k, s6)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29519, 10695])).
% 80.32/52.61 tff(29521,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_k, s6)), introduced(assumption)).
% 80.32/52.61 tff(29522,assumption,(node21(c_e_h_2, c_k, s6, s7)), introduced(assumption)).
% 80.32/52.61 tff(29523,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_k, s6)), introduced(assumption)).
% 80.32/52.61 tff(29524,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7)))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29525,plain,
% 80.32/52.61 (((~node21(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7)) <=> ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7)))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29526,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7))))),
% 80.32/52.61 inference(monotonicity,[status(thm)],[29525])).
% 80.32/52.61 tff(29527,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7)))),
% 80.32/52.61 inference(transitivity,[status(thm)],[29526, 29524])).
% 80.32/52.61 tff(29528,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29529,plain,
% 80.32/52.61 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)) | (~node21(c_e_h_2, c_k, s6, s7))),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29528, 29527])).
% 80.32/52.61 tff(29530,plain,
% 80.32/52.61 ($false),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29529, 7190, 29523, 29522, 29500, 29521])).
% 80.32/52.61 tff(29531,plain,((~node21(c_e_h_2, c_k, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.61 tff(29532,plain,
% 80.32/52.61 ((~node21(c_e_h_2, c_k, s6, s7)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7) | (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6))),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29531, 29520])).
% 80.32/52.61 tff(29533,plain,
% 80.32/52.61 (~m_and_h_gate_v_in1(c_e_h_2, c_k, s6)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29532, 29515, 29500])).
% 80.32/52.61 tff(29534,plain,
% 80.32/52.61 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s6))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s6))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29535,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s6))),
% 80.32/52.61 inference(quant_inst,[status(thm)],[])).
% 80.32/52.61 tff(29536,plain,
% 80.32/52.61 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s6)) | m_and_h_gate_v_in1(c_e_h_2, c_k, s6)),
% 80.32/52.61 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 80.32/52.61 tff(29537,plain,
% 80.32/52.61 (~m_or_h_gate_v_out(c_e_h_2, c_g, s6)),
% 80.32/52.61 inference(unit_resolution,[status(thm)],[29536, 13754, 29533])).
% 80.32/52.61 tff(29538,assumption,(~m_or_h_gate_v_out(c_e_h_2, c_g, s6)), introduced(assumption)).
% 80.32/52.61 tff(29539,assumption,(node6(c_e_h_2, c_g, s5, s6)), introduced(assumption)).
% 80.32/52.61 tff(29540,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29541,plain,
% 80.32/52.61 ((m_or_h_gate_v_out(c_e_h_2, c_g, s6) | (~node6(c_e_h_2, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5))) <=> ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))),
% 80.32/52.61 inference(rewrite,[status(thm)],[])).
% 80.32/52.61 tff(29542,plain,
% 80.32/52.61 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | (~node6(c_e_h_2, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6)))),
% 80.32/52.62 inference(monotonicity,[status(thm)],[29541])).
% 80.32/52.62 tff(29543,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | (~node6(c_e_h_2, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))),
% 80.32/52.62 inference(transitivity,[status(thm)],[29542, 29540])).
% 80.32/52.62 tff(29544,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | (~node6(c_e_h_2, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29545,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | (~node6(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 80.32/52.62 tff(29546,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29545, 6691, 28751, 29539, 29538])).
% 80.32/52.62 tff(29547,plain,((~node6(c_e_h_2, c_g, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29548,plain,
% 80.32/52.62 (~node6(c_e_h_2, c_g, s5, s6)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29547, 29538, 28751])).
% 80.32/52.62 tff(29549,assumption,(~node4(c_e_h_2, c_g, s5)), introduced(assumption)).
% 80.32/52.62 tff(29550,assumption,(node5(c_e_h_2, c_g, s5, s6)), introduced(assumption)).
% 80.32/52.62 tff(29551,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29552,plain,
% 80.32/52.62 ((node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6)) <=> (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29553,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6))))),
% 80.32/52.62 inference(monotonicity,[status(thm)],[29552])).
% 80.32/52.62 tff(29554,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)))),
% 80.32/52.62 inference(transitivity,[status(thm)],[29553, 29551])).
% 80.32/52.62 tff(29555,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29556,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~node5(c_e_h_2, c_g, s5, s6))),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 80.32/52.62 tff(29557,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29556, 6671, 29550, 29538, 29549])).
% 80.32/52.62 tff(29558,plain,((~node5(c_e_h_2, c_g, s5, s6)) | m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29559,plain,
% 80.32/52.62 (~node5(c_e_h_2, c_g, s5, s6)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29558, 29538, 29549])).
% 80.32/52.62 tff(29560,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29561,plain,
% 80.32/52.62 ((node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29562,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6)))),
% 80.32/52.62 inference(monotonicity,[status(thm)],[29561])).
% 80.32/52.62 tff(29563,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6))),
% 80.32/52.62 inference(transitivity,[status(thm)],[29562, 29560])).
% 80.32/52.62 tff(29564,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6) | (~trans(s5, s6)))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29565,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 80.32/52.62 tff(29566,plain,
% 80.32/52.62 (node6(c_e_h_2, c_g, s5, s6) | node5(c_e_h_2, c_g, s5, s6)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29565, 1870, 1343])).
% 80.32/52.62 tff(29567,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29566, 29559, 29548])).
% 80.32/52.62 tff(29568,plain,(m_or_h_gate_v_out(c_e_h_2, c_g, s6) | node4(c_e_h_2, c_g, s5) | (~m_or_h_gate_v_out(c_e_h_2, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29569,plain,
% 80.32/52.62 (node4(c_e_h_2, c_g, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29568, 29499, 29537])).
% 80.32/52.62 tff(29570,plain,
% 80.32/52.62 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)) | (~node4(c_e_h_2, c_g, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)) | (~node4(c_e_h_2, c_g, s5)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29571,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)) | (~node4(c_e_h_2, c_g, s5)))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29572,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)) | (~node4(c_e_h_2, c_g, s5))),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29571, 29570])).
% 80.32/52.62 tff(29573,plain,
% 80.32/52.62 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29572, 6717, 29569])).
% 80.32/52.62 tff(29574,assumption,(~m_or_h_gate_v_in1(c_e_h_2, c_g, s5)), introduced(assumption)).
% 80.32/52.62 tff(29575,assumption,(m_and_h_gate_v_out(c_e_h_2, c_c, s5)), introduced(assumption)).
% 80.32/52.62 tff(29576,plain,
% 80.32/52.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s5))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29577,plain,
% 80.32/52.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | ((~m_and_h_gate_v_out(c_e_h_2, c_c, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s5))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29578,plain,
% 80.32/52.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_or_h_gate_v_in1(I0, c_g, X))) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s5)) | m_or_h_gate_v_in1(c_e_h_2, c_g, s5)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 80.32/52.62 tff(29579,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29578, 6731, 29575, 29574])).
% 80.32/52.62 tff(29580,plain,(m_or_h_gate_v_in1(c_e_h_2, c_g, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s5))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29581,plain,
% 80.32/52.62 (~m_and_h_gate_v_out(c_e_h_2, c_c, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29580, 29573])).
% 80.32/52.62 tff(29582,plain,
% 80.32/52.62 (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[28803, 14231])).
% 80.32/52.62 tff(29583,plain,
% 80.32/52.62 (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[28932, 29582])).
% 80.32/52.62 tff(29584,plain,
% 80.32/52.62 (~m_cell_v_ack(c_e_h_3, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[28941, 29583])).
% 80.32/52.62 tff(29585,plain,
% 80.32/52.62 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s4))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29586,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | ((~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s4))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29587,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node2(I0, J0, X))) | (~m_cell_v_left(c_e_h_2, c_e_h_3)) | node2(c_e_h_2, c_e_h_3, s4)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 80.32/52.62 tff(29588,plain,
% 80.32/52.62 (node2(c_e_h_2, c_e_h_3, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29587, 1794, 7161])).
% 80.32/52.62 tff(29589,plain,
% 80.32/52.62 (((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_2, c_e_h_3, s4)) | m_cell_v_ack(c_e_h_3, s4) | m_and_h_gate_v_in2(c_e_h_2, c_c, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_2, c_e_h_3, s4)) | m_cell_v_ack(c_e_h_3, s4) | m_and_h_gate_v_in2(c_e_h_2, c_c, s4))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29590,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | ((~node2(c_e_h_2, c_e_h_3, s4)) | m_cell_v_ack(c_e_h_3, s4) | m_and_h_gate_v_in2(c_e_h_2, c_c, s4))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29591,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, J0: $i] : ((~node2(I0, J0, X)) | m_cell_v_ack(J0, X) | m_and_h_gate_v_in2(I0, c_c, X))) | (~node2(c_e_h_2, c_e_h_3, s4)) | m_cell_v_ack(c_e_h_3, s4) | m_and_h_gate_v_in2(c_e_h_2, c_c, s4)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 80.32/52.62 tff(29592,plain,
% 80.32/52.62 (m_cell_v_ack(c_e_h_3, s4) | m_and_h_gate_v_in2(c_e_h_2, c_c, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29591, 7175, 29588])).
% 80.32/52.62 tff(29593,plain,
% 80.32/52.62 (m_and_h_gate_v_in2(c_e_h_2, c_c, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29592, 29584])).
% 80.32/52.62 tff(29594,assumption,(~m_and_h_gate_v_out(c_e_h_2, c_c, s5)), introduced(assumption)).
% 80.32/52.62 tff(29595,assumption,(m_and_h_gate_v_in2(c_e_h_2, c_c, s4)), introduced(assumption)).
% 80.32/52.62 tff(29596,assumption,(m_and_h_gate_v_in1(c_e_h_2, c_c, s4)), introduced(assumption)).
% 80.32/52.62 tff(29597,assumption,(node21(c_e_h_2, c_c, s4, s5)), introduced(assumption)).
% 80.32/52.62 tff(29598,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29599,plain,
% 80.32/52.62 (((~node21(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5)) <=> ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29600,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5))))),
% 80.32/52.62 inference(monotonicity,[status(thm)],[29599])).
% 80.32/52.62 tff(29601,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(transitivity,[status(thm)],[29600, 29598])).
% 80.32/52.62 tff(29602,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29603,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~node21(c_e_h_2, c_c, s4, s5))),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 80.32/52.62 tff(29604,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29603, 7190, 29595, 29597, 29594, 29596])).
% 80.32/52.62 tff(29605,plain,((~node21(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29606,plain,
% 80.32/52.62 (~node21(c_e_h_2, c_c, s4, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29605, 29594, 29596, 29595])).
% 80.32/52.62 tff(29607,assumption,(node22(c_e_h_2, c_c, s4, s5)), introduced(assumption)).
% 80.32/52.62 tff(29608,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29609,plain,
% 80.32/52.62 ((m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~node22(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4))) <=> (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29610,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~node22(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5))))),
% 80.32/52.62 inference(monotonicity,[status(thm)],[29609])).
% 80.32/52.62 tff(29611,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~node22(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5)))),
% 80.32/52.62 inference(transitivity,[status(thm)],[29610, 29608])).
% 80.32/52.62 tff(29612,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~node22(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29613,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~node22(c_e_h_2, c_c, s4, s5))),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 80.32/52.62 tff(29614,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29613, 6905, 29607, 28727, 29594])).
% 80.32/52.62 tff(29615,plain,((~node22(c_e_h_2, c_c, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29616,plain,
% 80.32/52.62 (~node22(c_e_h_2, c_c, s4, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29615, 29594, 28727])).
% 80.32/52.62 tff(29617,plain,
% 80.32/52.62 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_c, s4, s5) | node22(c_e_h_2, c_c, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_c, s4, s5) | node22(c_e_h_2, c_c, s4, s5))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29618,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_2, c_c, s4, s5) | node22(c_e_h_2, c_c, s4, s5))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29619,plain,
% 80.32/52.62 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_2, c_c, s4, s5) | node22(c_e_h_2, c_c, s4, s5)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 80.32/52.62 tff(29620,plain,
% 80.32/52.62 (node21(c_e_h_2, c_c, s4, s5) | node22(c_e_h_2, c_c, s4, s5)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29619, 383, 930])).
% 80.32/52.62 tff(29621,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29620, 29616, 29606])).
% 80.32/52.62 tff(29622,plain,(m_and_h_gate_v_out(c_e_h_2, c_c, s5) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29623,plain,
% 80.32/52.62 (~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29622, 28727, 29595, 29594])).
% 80.32/52.62 tff(29624,plain,
% 80.32/52.62 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29625,plain,
% 80.32/52.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29626,plain,
% 80.32/52.62 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 80.32/52.62 tff(29627,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29626, 2644, 13971, 14001])).
% 80.32/52.62 tff(29628,plain,((~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29629,plain,
% 80.32/52.62 (~m_and_h_gate_v_in1(c_e_h_2, c_c, s3)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29628, 13971])).
% 80.32/52.62 tff(29630,assumption,(node20(c_e_h_2, c_c, s3)), introduced(assumption)).
% 80.32/52.62 tff(29631,plain,
% 80.32/52.62 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))),
% 80.32/52.62 inference(rewrite,[status(thm)],[])).
% 80.32/52.62 tff(29632,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3))),
% 80.32/52.62 inference(quant_inst,[status(thm)],[])).
% 80.32/52.62 tff(29633,plain,
% 80.32/52.62 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3)),
% 80.32/52.62 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 80.32/52.62 tff(29634,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29633, 22, 29630, 13993])).
% 80.32/52.62 tff(29635,plain,((~node20(c_e_h_2, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.62 tff(29636,plain,
% 80.32/52.62 (~node20(c_e_h_2, c_c, s3)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[29635, 29629])).
% 80.32/52.62 tff(29637,plain,
% 80.32/52.62 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[28741, 29636, 28727])).
% 80.32/52.62 tff(29638,plain,
% 80.32/52.62 (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[13991, 13971])).
% 80.32/52.62 tff(29639,plain,
% 80.32/52.62 (~m_and_h_gate_v_in1(c_e_h_2, c_c, s2)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[13913, 29638])).
% 80.32/52.62 tff(29640,plain,
% 80.32/52.62 (~node20(c_e_h_2, c_c, s2)),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[13905, 29639])).
% 80.32/52.62 tff(29641,plain,
% 80.32/52.62 ($false),
% 80.32/52.62 inference(unit_resolution,[status(thm)],[13881, 29640, 29637])).
% 80.32/52.62 tff(29642,plain,(m_mutex_h_half_v_out(c_e_h_2, c_a, s3) | (~m_and_h_gate_v_out(c_e_h_2, c_c, s4))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29643,plain,
% 80.32/52.63 (m_mutex_h_half_v_out(c_e_h_2, c_a, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29642, 28727])).
% 80.32/52.63 tff(29644,assumption,(~m_mutex_h_half_v_out(c_e_h_2, c_a, s4)), introduced(assumption)).
% 80.32/52.63 tff(29645,assumption,(m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)), introduced(assumption)).
% 80.32/52.63 tff(29646,assumption,(node13(c_e_h_2, c_a, s3, s4)), introduced(assumption)).
% 80.32/52.63 tff(29647,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29648,plain,
% 80.32/52.63 ((m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node13(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3))) <=> (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29649,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node13(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4))))),
% 80.32/52.63 inference(monotonicity,[status(thm)],[29648])).
% 80.32/52.63 tff(29650,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node13(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(transitivity,[status(thm)],[29649, 29647])).
% 80.32/52.63 tff(29651,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node13(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29652,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s3, s4))),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 80.32/52.63 tff(29653,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29652, 7277, 29646, 13994, 29644])).
% 80.32/52.63 tff(29654,plain,((~node13(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29655,plain,
% 80.32/52.63 (~node13(c_e_h_2, c_a, s3, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29654, 29644, 13994])).
% 80.32/52.63 tff(29656,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_2, c_a, s3, s4) | node13(c_e_h_2, c_a, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_2, c_a, s3, s4) | node13(c_e_h_2, c_a, s3, s4))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29657,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_2, c_a, s3, s4) | node13(c_e_h_2, c_a, s3, s4))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29658,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_2, c_a, s3, s4) | node13(c_e_h_2, c_a, s3, s4)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 80.32/52.63 tff(29659,plain,
% 80.32/52.63 (node12(c_e_h_2, c_a, s3, s4) | node13(c_e_h_2, c_a, s3, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29658, 1020, 711])).
% 80.32/52.63 tff(29660,plain,
% 80.32/52.63 (node12(c_e_h_2, c_a, s3, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29659, 29655])).
% 80.32/52.63 tff(29661,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29662,plain,
% 80.32/52.63 (((~node12(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4)) <=> ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29663,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4))))),
% 80.32/52.63 inference(monotonicity,[status(thm)],[29662])).
% 80.32/52.63 tff(29664,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4)))),
% 80.32/52.63 inference(transitivity,[status(thm)],[29663, 29661])).
% 80.32/52.63 tff(29665,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_2, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29666,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~node12(c_e_h_2, c_a, s3, s4))),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29665, 29664])).
% 80.32/52.63 tff(29667,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29666, 7301, 29660, 29644, 29645])).
% 80.32/52.63 tff(29668,plain,(m_mutex_h_half_v_out(c_e_h_2, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29669,plain,
% 80.32/52.63 (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29668, 13994, 29644])).
% 80.32/52.63 tff(29670,plain,
% 80.32/52.63 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_user_v_req(c_e_h_2, c_u, s2))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_user_v_req(c_e_h_2, c_u, s2))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29671,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_user_v_req(c_e_h_2, c_u, s2))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29672,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)) | m_user_v_req(c_e_h_2, c_u, s2)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29671, 29670])).
% 80.32/52.63 tff(29673,plain,
% 80.32/52.63 (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29672, 2765, 13940])).
% 80.32/52.63 tff(29674,assumption,(node12(c_e_h_2, c_a, s2, s3)), introduced(assumption)).
% 80.32/52.63 tff(29675,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29676,plain,
% 80.32/52.63 (((~node12(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3))) <=> (m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29677,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3))))),
% 80.32/52.63 inference(monotonicity,[status(thm)],[29676])).
% 80.32/52.63 tff(29678,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3)))),
% 80.32/52.63 inference(transitivity,[status(thm)],[29677, 29675])).
% 80.32/52.63 tff(29679,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29680,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s2, s3))),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 80.32/52.63 tff(29681,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29680, 1082, 29674, 13994, 13964])).
% 80.32/52.63 tff(29682,plain,((~node12(c_e_h_2, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29683,plain,
% 80.32/52.63 (~node12(c_e_h_2, c_a, s2, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29682, 13994, 13964])).
% 80.32/52.63 tff(29684,plain,
% 80.32/52.63 (node13(c_e_h_2, c_a, s2, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13982, 29683])).
% 80.32/52.63 tff(29685,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29686,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29687,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node13(c_e_h_2, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29686, 29685])).
% 80.32/52.63 tff(29688,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29687, 1004, 29684, 13994, 13908])).
% 80.32/52.63 tff(29689,plain,((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s2) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29690,plain,
% 80.32/52.63 (m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29689, 29673, 13994])).
% 80.32/52.63 tff(29691,plain,
% 80.32/52.63 (~m_user_v_req(c_e_h_2, c_u, s1)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13959, 7402, 13956, 13940])).
% 80.32/52.63 tff(29692,assumption,(~m_user_v_req(c_e_h_2, c_u, s1)), introduced(assumption)).
% 80.32/52.63 tff(29693,assumption,(node8(c_e_h_2, c_u, s1, s2)), introduced(assumption)).
% 80.32/52.63 tff(29694,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | ((~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s1, s2)) | m_user_v_req(c_e_h_2, c_u, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s1, s2)) | m_user_v_req(c_e_h_2, c_u, s1))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29695,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | ((~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s1, s2)) | m_user_v_req(c_e_h_2, c_u, s1))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29696,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_user_v_req(I0, I1, Y)) | (~node8(I0, I1, X, Y)) | m_user_v_req(I0, I1, X))) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s1, s2)) | m_user_v_req(c_e_h_2, c_u, s1)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 80.32/52.63 tff(29697,plain,
% 80.32/52.63 ((~m_user_v_req(c_e_h_2, c_u, s2)) | m_user_v_req(c_e_h_2, c_u, s1)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29696, 15096, 29693])).
% 80.32/52.63 tff(29698,plain,
% 80.32/52.63 (~m_user_v_req(c_e_h_2, c_u, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29697, 29692])).
% 80.32/52.63 tff(29699,plain,
% 80.32/52.63 (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29672, 2765, 29698])).
% 80.32/52.63 tff(29700,plain,
% 80.32/52.63 (~m_mutex_h_half_v_inp(c_e_h_2, c_a, s1)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13937, 2765, 29692])).
% 80.32/52.63 tff(29701,assumption,(node12(c_e_h_2, c_a, s1, s2)), introduced(assumption)).
% 80.32/52.63 tff(29702,plain,
% 80.32/52.63 (m_mutex_h_half_v_inp(c_e_h_2, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2))),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13933, 1082, 29701])).
% 80.32/52.63 tff(29703,plain,
% 80.32/52.63 (~m_mutex_h_half_v_out(c_e_h_2, c_a, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29702, 29700])).
% 80.32/52.63 tff(29704,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29689, 29703, 29699, 13994])).
% 80.32/52.63 tff(29705,plain,(m_user_v_req(c_e_h_2, c_u, s1) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | (~node12(c_e_h_2, c_a, s1, s2)) | (~node8(c_e_h_2, c_u, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29706,plain,
% 80.32/52.63 (~node12(c_e_h_2, c_a, s1, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29705, 29691, 13994, 13956])).
% 80.32/52.63 tff(29707,plain,
% 80.32/52.63 (node13(c_e_h_2, c_a, s1, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13926, 29706])).
% 80.32/52.63 tff(29708,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13919, 1004, 29707, 11203, 29690])).
% 80.32/52.63 tff(29709,plain,(m_user_v_req(c_e_h_2, c_u, s2) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29710,plain,
% 80.32/52.63 (m_user_v_req(c_e_h_2, c_u, s2)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29709, 13994])).
% 80.32/52.63 tff(29711,assumption,(~m_user_v_req(c_e_h_2, c_u, s3)), introduced(assumption)).
% 80.32/52.63 tff(29712,assumption,(~m_user_v_ack(c_e_h_2, c_u, s2)), introduced(assumption)).
% 80.32/52.63 tff(29713,assumption,(node7(c_e_h_2, c_u, s2, s3)), introduced(assumption)).
% 80.32/52.63 tff(29714,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_ack(c_e_h_2, c_u, s2) | m_user_v_req(c_e_h_2, c_u, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_ack(c_e_h_2, c_u, s2) | m_user_v_req(c_e_h_2, c_u, s3))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29715,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_ack(c_e_h_2, c_u, s2) | m_user_v_req(c_e_h_2, c_u, s3))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29716,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_ack(c_e_h_2, c_u, s2) | m_user_v_req(c_e_h_2, c_u, s3)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29715, 29714])).
% 80.32/52.63 tff(29717,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29716, 7383, 29713, 29711, 29712])).
% 80.32/52.63 tff(29718,plain,((~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_req(c_e_h_2, c_u, s3) | m_user_v_ack(c_e_h_2, c_u, s2)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29719,plain,
% 80.32/52.63 ((~node7(c_e_h_2, c_u, s2, s3)) | m_user_v_req(c_e_h_2, c_u, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29718, 17139])).
% 80.32/52.63 tff(29720,plain,
% 80.32/52.63 (~node7(c_e_h_2, c_u, s2, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29719, 29711])).
% 80.32/52.63 tff(29721,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_2, c_u, s2, s3) | node8(c_e_h_2, c_u, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_2, c_u, s2, s3) | node8(c_e_h_2, c_u, s2, s3))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29722,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_2, c_u, s2, s3) | node8(c_e_h_2, c_u, s2, s3))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29723,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_2, c_u, s2, s3) | node8(c_e_h_2, c_u, s2, s3)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29722, 29721])).
% 80.32/52.63 tff(29724,plain,
% 80.32/52.63 (node7(c_e_h_2, c_u, s2, s3) | node8(c_e_h_2, c_u, s2, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29723, 7421, 463])).
% 80.32/52.63 tff(29725,plain,
% 80.32/52.63 (node8(c_e_h_2, c_u, s2, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29724, 29720])).
% 80.32/52.63 tff(29726,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29727,plain,
% 80.32/52.63 ((m_user_v_req(c_e_h_2, c_u, s3) | (~node8(c_e_h_2, c_u, s2, s3)) | (~m_user_v_req(c_e_h_2, c_u, s2))) <=> (m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3)))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29728,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s3) | (~node8(c_e_h_2, c_u, s2, s3)) | (~m_user_v_req(c_e_h_2, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3))))),
% 80.32/52.63 inference(monotonicity,[status(thm)],[29727])).
% 80.32/52.63 tff(29729,plain,
% 80.32/52.63 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s3) | (~node8(c_e_h_2, c_u, s2, s3)) | (~m_user_v_req(c_e_h_2, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3)))),
% 80.32/52.63 inference(transitivity,[status(thm)],[29728, 29726])).
% 80.32/52.63 tff(29730,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_2, c_u, s3) | (~node8(c_e_h_2, c_u, s2, s3)) | (~m_user_v_req(c_e_h_2, c_u, s2)))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29731,plain,
% 80.32/52.63 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2)) | (~node8(c_e_h_2, c_u, s2, s3))),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29730, 29729])).
% 80.32/52.63 tff(29732,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29731, 7402, 29725, 29711, 13963])).
% 80.32/52.63 tff(29733,plain,(m_user_v_req(c_e_h_2, c_u, s3) | (~m_user_v_req(c_e_h_2, c_u, s2))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29734,plain,
% 80.32/52.63 (m_user_v_req(c_e_h_2, c_u, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29733, 29710])).
% 80.32/52.63 tff(29735,assumption,(~m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)), introduced(assumption)).
% 80.32/52.63 tff(29736,assumption,(m_user_v_req(c_e_h_2, c_u, s3)), introduced(assumption)).
% 80.32/52.63 tff(29737,plain,
% 80.32/52.63 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_2, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_2, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s3))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29738,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_2, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s3))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29739,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_2, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_2, c_a, s3)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29738, 29737])).
% 80.32/52.63 tff(29740,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29739, 7318, 29736, 29735])).
% 80.32/52.63 tff(29741,plain,(m_mutex_h_half_v_inp(c_e_h_2, c_a, s3) | (~m_user_v_req(c_e_h_2, c_u, s3))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29742,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29741, 29734, 29669])).
% 80.32/52.63 tff(29743,plain,((~m_mutex_h_half_v_out(c_e_h_2, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_2, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29744,plain,
% 80.32/52.63 (m_mutex_h_half_v_out(c_e_h_2, c_a, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29743, 29643])).
% 80.32/52.63 tff(29745,assumption,(~m_and_h_gate_v_in1(c_e_h_2, c_c, s4)), introduced(assumption)).
% 80.32/52.63 tff(29746,assumption,(m_mutex_h_half_v_out(c_e_h_2, c_a, s4)), introduced(assumption)).
% 80.32/52.63 tff(29747,plain,
% 80.32/52.63 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s4))),
% 80.32/52.63 inference(rewrite,[status(thm)],[])).
% 80.32/52.63 tff(29748,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | ((~m_mutex_h_half_v_out(c_e_h_2, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s4))),
% 80.32/52.63 inference(quant_inst,[status(thm)],[])).
% 80.32/52.63 tff(29749,plain,
% 80.32/52.63 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_and_h_gate_v_in1(I0, c_c, X))) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s4)) | m_and_h_gate_v_in1(c_e_h_2, c_c, s4)),
% 80.32/52.63 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 80.32/52.63 tff(29750,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29749, 7440, 29746, 29745])).
% 80.32/52.63 tff(29751,plain,(m_and_h_gate_v_in1(c_e_h_2, c_c, s4) | (~m_mutex_h_half_v_out(c_e_h_2, c_a, s4))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29752,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29751, 29744, 29623])).
% 80.32/52.63 tff(29753,plain,((~m_and_h_gate_v_out(c_e_h_2, c_c, s4)) | (~m_and_h_gate_v_in2(c_e_h_2, c_c, s4)) | m_and_h_gate_v_out(c_e_h_2, c_c, s5)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29754,plain,
% 80.32/52.63 (~m_and_h_gate_v_out(c_e_h_2, c_c, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29753, 29593, 29581])).
% 80.32/52.63 tff(29755,plain,
% 80.32/52.63 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[28748, 29754])).
% 80.32/52.63 tff(29756,plain,
% 80.32/52.63 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[28773, 29755, 28705, 29499])).
% 80.32/52.63 tff(29757,plain,
% 80.32/52.63 (~m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[14222, 29754])).
% 80.32/52.63 tff(29758,plain,
% 80.32/52.63 (~m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13856, 29757])).
% 80.32/52.63 tff(29759,plain,
% 80.32/52.63 ($false),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[13848, 29758, 29756, 13646, 13537])).
% 80.32/52.63 tff(29760,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s6)) | m_and_h_gate_v_out(c_e_h_2, c_k, s7)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.63 tff(29761,plain,
% 80.32/52.63 (~m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[29760, 29483])).
% 80.32/52.63 tff(29762,plain,
% 80.32/52.63 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[26402, 29761])).
% 80.32/52.63 tff(29763,plain,
% 80.32/52.63 (~node20(c_e_h_2, c_p, s6)),
% 80.32/52.63 inference(unit_resolution,[status(thm)],[26409, 29762])).
% 80.32/52.63 tff(29764,plain,
% 80.32/52.63 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[26430, 29763, 14341])).
% 80.32/52.64 tff(29765,plain,
% 80.32/52.64 (~m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14228, 29761, 13537, 13646, 13545])).
% 80.32/52.64 tff(29766,plain,
% 80.32/52.64 (~m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13701, 29765])).
% 80.32/52.64 tff(29767,plain,
% 80.32/52.64 (~node20(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13693, 29766])).
% 80.32/52.64 tff(29768,plain,
% 80.32/52.64 ($false),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13685, 29767, 29764, 13663])).
% 80.32/52.64 tff(29769,plain,((~m_and_h_gate_v_out(c_e_h_2, c_p, s7)) | m_and_h_gate_v_out(c_e_h_2, c_p, s8)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.64 tff(29770,plain,
% 80.32/52.64 (~m_and_h_gate_v_out(c_e_h_2, c_p, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29769, 29448])).
% 80.32/52.64 tff(29771,plain,
% 80.32/52.64 (~m_cell_v_req(c_e_h_2, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[26437, 29770])).
% 80.32/52.64 tff(29772,plain,
% 80.32/52.64 (~m_mutex_h_half_v_inp(c_e_h_1, c_b, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[26445, 29771])).
% 80.32/52.64 tff(29773,plain,
% 80.32/52.64 (~node12(c_e_h_1, c_b, s7, s8)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[28576, 29772, 29379])).
% 80.32/52.64 tff(29774,plain,
% 80.32/52.64 (node13(c_e_h_1, c_b, s7, s8)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14307, 29773])).
% 80.32/52.64 tff(29775,plain,
% 80.32/52.64 (m_mutex_h_half_v_out(c_e_h_1, c_b, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[28584, 29774, 29379])).
% 80.32/52.64 tff(29776,plain,
% 80.32/52.64 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[28578, 29775])).
% 80.32/52.64 tff(29777,plain,
% 80.32/52.64 (m_cell_v_req(c_e_h_2, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13520, 29776])).
% 80.32/52.64 tff(29778,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13528, 29777])).
% 80.32/52.64 tff(29779,plain,
% 80.32/52.64 (node20(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13685, 29778, 13663])).
% 80.32/52.64 tff(29780,plain,
% 80.32/52.64 (m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13693, 29779])).
% 80.32/52.64 tff(29781,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13701, 29780])).
% 80.32/52.64 tff(29782,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14228, 29781, 13537, 13646, 13545])).
% 80.32/52.64 tff(29783,plain,
% 80.32/52.64 (m_and_h_gate_v_in1(c_e_h_2, c_p, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14246, 29782])).
% 80.32/52.64 tff(29784,plain,
% 80.32/52.64 (~node22(c_e_h_2, c_p, s6, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14271, 29778, 29770])).
% 80.32/52.64 tff(29785,plain,
% 80.32/52.64 (node21(c_e_h_2, c_p, s6, s7)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14276, 29784])).
% 80.32/52.64 tff(29786,plain,
% 80.32/52.64 ($false),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14283, 7190, 29785, 29770, 14261, 29783])).
% 80.32/52.64 tff(29787,plain,(m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | m_and_h_gate_v_out(c_e_h_1, c_d, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.64 tff(29788,plain,
% 80.32/52.64 (m_or_h_gate_v_in2(c_e_h_1, c_g, s8)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29787, 29229, 12654, 12655, 29057, 17541, 20557, 20772])).
% 80.32/52.64 tff(29789,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[26505, 29788])).
% 80.32/52.64 tff(29790,plain,
% 80.32/52.64 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13511, 29789])).
% 80.32/52.64 tff(29791,plain,
% 80.32/52.64 (m_cell_v_req(c_e_h_2, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13520, 29790])).
% 80.32/52.64 tff(29792,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13528, 29791])).
% 80.32/52.64 tff(29793,plain,
% 80.32/52.64 (node20(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13685, 29792, 13663])).
% 80.32/52.64 tff(29794,plain,
% 80.32/52.64 (m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13693, 29793])).
% 80.32/52.64 tff(29795,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13701, 29794])).
% 80.32/52.64 tff(29796,plain,
% 80.32/52.64 (~node22(c_e_h_2, c_k, s4, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13764, 29795, 13545])).
% 80.32/52.64 tff(29797,plain,
% 80.32/52.64 (node21(c_e_h_2, c_k, s4, s5)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13769, 29796])).
% 80.32/52.64 tff(29798,plain,
% 80.32/52.64 (node20(c_e_h_2, c_k, s4)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13773, 348, 29797, 29795])).
% 80.32/52.64 tff(29799,plain,
% 80.32/52.64 (m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13777, 22, 29798])).
% 80.32/52.64 tff(29800,plain,
% 80.32/52.64 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13781, 2538, 29799])).
% 80.32/52.64 tff(29801,plain,
% 80.32/52.64 (m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13848, 29800, 13646, 13537])).
% 80.32/52.64 tff(29802,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13856, 29801])).
% 80.32/52.64 tff(29803,plain,
% 80.32/52.64 (node20(c_e_h_2, c_c, s2)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[13881, 29802])).
% 80.32/52.64 tff(29804,plain,
% 80.32/52.64 (m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14220, 334, 29803])).
% 80.32/52.64 tff(29805,plain,
% 80.32/52.64 (~m_cell_v_ack(c_e_h_3, s2)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14216, 29804])).
% 80.32/52.64 tff(29806,plain,
% 80.32/52.64 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)) | m_cell_v_ack(c_e_h_3, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)) | m_cell_v_ack(c_e_h_3, s2))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29807,plain,
% 80.32/52.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)) | m_cell_v_ack(c_e_h_3, s2))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29808,plain,
% 80.32/52.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)) | m_cell_v_ack(c_e_h_3, s2)),
% 80.32/52.64 inference(modus_ponens,[status(thm)],[29807, 29806])).
% 80.32/52.64 tff(29809,plain,
% 80.32/52.64 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29808, 1820, 29805])).
% 80.32/52.64 tff(29810,plain,
% 80.32/52.64 (m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14228, 29795, 13537, 13646, 13545])).
% 80.32/52.64 tff(29811,plain,
% 80.32/52.64 (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[28803, 29810])).
% 80.32/52.64 tff(29812,plain,
% 80.32/52.64 (~m_cell_v_ack(c_e_h_3, s3)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[14029, 29811])).
% 80.32/52.64 tff(29813,plain,
% 80.32/52.64 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[28950, 1820, 29812])).
% 80.32/52.64 tff(29814,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)), introduced(assumption)).
% 80.32/52.64 tff(29815,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s2)), introduced(assumption)).
% 80.32/52.64 tff(29816,assumption,(m_or_h_gate_v_out(c_e_h_3, c_g, s0)), introduced(assumption)).
% 80.32/52.64 tff(29817,plain,
% 80.32/52.64 ((~![I0: $i, I1: $i] : (~m_or_h_gate_v_out(I0, I1, s0))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s0))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29818,plain,
% 80.32/52.64 ($false),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29817, 1730, 29816])).
% 80.32/52.64 tff(29819,plain,(~m_or_h_gate_v_out(c_e_h_3, c_g, s0)), inference(lemma,lemma(discharge,[]))).
% 80.32/52.64 tff(29820,plain,
% 80.32/52.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_k, s0)) | m_or_h_gate_v_out(c_e_h_3, c_g, s0))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s0)) | m_or_h_gate_v_out(c_e_h_3, c_g, s0))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29821,plain,
% 80.32/52.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_k, s0)) | m_or_h_gate_v_out(c_e_h_3, c_g, s0))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29822,plain,
% 80.32/52.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s0)) | m_or_h_gate_v_out(c_e_h_3, c_g, s0)),
% 80.32/52.64 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 80.32/52.64 tff(29823,plain,
% 80.32/52.64 (~m_and_h_gate_v_in1(c_e_h_3, c_k, s0)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29822, 2538, 29819])).
% 80.32/52.64 tff(29824,plain,
% 80.32/52.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s0))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s0))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29825,plain,
% 80.32/52.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s0))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29826,plain,
% 80.32/52.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_k, s0)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s0)),
% 80.32/52.64 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 80.32/52.64 tff(29827,plain,
% 80.32/52.64 (~node20(c_e_h_3, c_k, s0)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29826, 22, 29823])).
% 80.32/52.64 tff(29828,assumption,(m_and_h_gate_v_out(c_e_h_3, c_k, s1)), introduced(assumption)).
% 80.32/52.64 tff(29829,assumption,(~node20(c_e_h_3, c_k, s0)), introduced(assumption)).
% 80.32/52.64 tff(29830,assumption,(node21(c_e_h_3, c_k, s0, s1)), introduced(assumption)).
% 80.32/52.64 tff(29831,plain,
% 80.32/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29832,plain,
% 80.32/52.64 ((node20(c_e_h_3, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node21(c_e_h_3, c_k, s0, s1))) <=> (node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29833,plain,
% 80.32/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node21(c_e_h_3, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1))))),
% 80.32/52.64 inference(monotonicity,[status(thm)],[29832])).
% 80.32/52.64 tff(29834,plain,
% 80.32/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node21(c_e_h_3, c_k, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)))),
% 80.32/52.64 inference(transitivity,[status(thm)],[29833, 29831])).
% 80.32/52.64 tff(29835,plain,
% 80.32/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node21(c_e_h_3, c_k, s0, s1)))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29836,plain,
% 80.32/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_k, s0) | (~node21(c_e_h_3, c_k, s0, s1)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1))),
% 80.32/52.64 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 80.32/52.64 tff(29837,plain,
% 80.32/52.64 ($false),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29836, 348, 29830, 29829, 29828])).
% 80.32/52.64 tff(29838,plain,((~node21(c_e_h_3, c_k, s0, s1)) | node20(c_e_h_3, c_k, s0) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1))), inference(lemma,lemma(discharge,[]))).
% 80.32/52.64 tff(29839,plain,
% 80.32/52.64 (~node21(c_e_h_3, c_k, s0, s1)),
% 80.32/52.64 inference(unit_resolution,[status(thm)],[29838, 29828, 29829])).
% 80.32/52.64 tff(29840,plain,
% 80.32/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_k, s0, s1) | node22(c_e_h_3, c_k, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_k, s0, s1) | node22(c_e_h_3, c_k, s0, s1))),
% 80.32/52.64 inference(rewrite,[status(thm)],[])).
% 80.32/52.64 tff(29841,plain,
% 80.32/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s0, s1)) | node21(c_e_h_3, c_k, s0, s1) | node22(c_e_h_3, c_k, s0, s1))),
% 80.32/52.64 inference(quant_inst,[status(thm)],[])).
% 80.32/52.64 tff(29842,plain,
% 80.32/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s0, s1)) | node21(c_e_h_3, c_k, s0, s1) | node22(c_e_h_3, c_k, s0, s1)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 80.38/52.64 tff(29843,plain,
% 80.38/52.64 (node21(c_e_h_3, c_k, s0, s1) | node22(c_e_h_3, c_k, s0, s1)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29842, 383, 183])).
% 80.38/52.64 tff(29844,plain,
% 80.38/52.64 (node22(c_e_h_3, c_k, s0, s1)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29843, 29839])).
% 80.38/52.64 tff(29845,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node22(c_e_h_3, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node22(c_e_h_3, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29846,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node22(c_e_h_3, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29847,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | (~node22(c_e_h_3, c_k, s0, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s0)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29846, 29845])).
% 80.38/52.64 tff(29848,plain,
% 80.38/52.64 ($false),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29847, 437, 29844, 2024, 29828])).
% 80.38/52.64 tff(29849,plain,((~m_and_h_gate_v_out(c_e_h_3, c_k, s1)) | node20(c_e_h_3, c_k, s0)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.64 tff(29850,plain,
% 80.38/52.64 (~m_and_h_gate_v_out(c_e_h_3, c_k, s1)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29849, 29827])).
% 80.38/52.64 tff(29851,plain,
% 80.38/52.64 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s1))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s1))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29852,plain,
% 80.38/52.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s1))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29853,plain,
% 80.38/52.64 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s1)) | m_and_h_gate_v_out(c_e_h_3, c_k, s1)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 80.38/52.64 tff(29854,plain,
% 80.38/52.64 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s1)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29853, 2031, 29850])).
% 80.38/52.64 tff(29855,plain,
% 80.38/52.64 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s1))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s1))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29856,plain,
% 80.38/52.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s1))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29857,plain,
% 80.38/52.64 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s1)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s1)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29856, 29855])).
% 80.38/52.64 tff(29858,plain,
% 80.38/52.64 (~node20(c_e_h_3, c_l, s1)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29857, 22, 29854])).
% 80.38/52.64 tff(29859,assumption,(node21(c_e_h_3, c_l, s1, s2)), introduced(assumption)).
% 80.38/52.64 tff(29860,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node21(c_e_h_3, c_l, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node21(c_e_h_3, c_l, s1, s2)))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29861,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node21(c_e_h_3, c_l, s1, s2)))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29862,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_l, s1) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node21(c_e_h_3, c_l, s1, s2))),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 80.38/52.64 tff(29863,plain,
% 80.38/52.64 ($false),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29862, 348, 29815, 29859, 29858])).
% 80.38/52.64 tff(29864,plain,((~node21(c_e_h_3, c_l, s1, s2)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2))), inference(lemma,lemma(discharge,[]))).
% 80.38/52.64 tff(29865,plain,
% 80.38/52.64 (~node21(c_e_h_3, c_l, s1, s2)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29864, 29815])).
% 80.38/52.64 tff(29866,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_l, s1, s2) | node22(c_e_h_3, c_l, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_l, s1, s2) | node22(c_e_h_3, c_l, s1, s2))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29867,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s1, s2)) | node21(c_e_h_3, c_l, s1, s2) | node22(c_e_h_3, c_l, s1, s2))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29868,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s1, s2)) | node21(c_e_h_3, c_l, s1, s2) | node22(c_e_h_3, c_l, s1, s2)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 80.38/52.64 tff(29869,plain,
% 80.38/52.64 (node21(c_e_h_3, c_l, s1, s2) | node22(c_e_h_3, c_l, s1, s2)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29868, 383, 265])).
% 80.38/52.64 tff(29870,plain,
% 80.38/52.64 (node22(c_e_h_3, c_l, s1, s2)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29869, 29865])).
% 80.38/52.64 tff(29871,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node22(c_e_h_3, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node22(c_e_h_3, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29872,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node22(c_e_h_3, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29873,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s2)) | (~node22(c_e_h_3, c_l, s1, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s1)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29872, 29871])).
% 80.38/52.64 tff(29874,plain,
% 80.38/52.64 ($false),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29873, 437, 2060, 29815, 29870])).
% 80.38/52.64 tff(29875,plain,(~m_and_h_gate_v_out(c_e_h_3, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.64 tff(29876,assumption,(m_or_h_gate_v_in1(c_e_h_3, c_j, s2)), introduced(assumption)).
% 80.38/52.64 tff(29877,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_l, s2)), introduced(assumption)).
% 80.38/52.64 tff(29878,plain,
% 80.38/52.64 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29879,plain,
% 80.38/52.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29880,plain,
% 80.38/52.64 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2)),
% 80.38/52.64 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 80.38/52.64 tff(29881,plain,
% 80.38/52.64 ($false),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29880, 1835, 29877, 29876])).
% 80.38/52.64 tff(29882,plain,((~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.64 tff(29883,plain,
% 80.38/52.64 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)),
% 80.38/52.64 inference(unit_resolution,[status(thm)],[29882, 29875])).
% 80.38/52.64 tff(29884,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s3)), introduced(assumption)).
% 80.38/52.64 tff(29885,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_j, s2)), introduced(assumption)).
% 80.38/52.64 tff(29886,assumption,(node6(c_e_h_3, c_j, s2, s3)), introduced(assumption)).
% 80.38/52.64 tff(29887,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29888,plain,
% 80.38/52.64 (((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2)) <=> ((~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))),
% 80.38/52.64 inference(rewrite,[status(thm)],[])).
% 80.38/52.64 tff(29889,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))))),
% 80.38/52.64 inference(monotonicity,[status(thm)],[29888])).
% 80.38/52.64 tff(29890,plain,
% 80.38/52.64 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))),
% 80.38/52.64 inference(transitivity,[status(thm)],[29889, 29887])).
% 80.38/52.64 tff(29891,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2))),
% 80.38/52.64 inference(quant_inst,[status(thm)],[])).
% 80.38/52.64 tff(29892,plain,
% 80.38/52.64 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~node6(c_e_h_3, c_j, s2, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 80.38/52.65 tff(29893,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29892, 1851, 29886, 29884, 29885])).
% 80.38/52.65 tff(29894,plain,((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s2)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29895,plain,
% 80.38/52.65 ((~node6(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29894, 2134])).
% 80.38/52.65 tff(29896,plain,
% 80.38/52.65 (~node6(c_e_h_3, c_j, s2, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29895, 29884])).
% 80.38/52.65 tff(29897,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29898,plain,
% 80.38/52.65 ((node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29899,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3)))),
% 80.38/52.65 inference(monotonicity,[status(thm)],[29898])).
% 80.38/52.65 tff(29900,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3))),
% 80.38/52.65 inference(transitivity,[status(thm)],[29899, 29897])).
% 80.38/52.65 tff(29901,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3) | (~trans(s2, s3)))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29902,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3)),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29901, 29900])).
% 80.38/52.65 tff(29903,plain,
% 80.38/52.65 (node6(c_e_h_3, c_j, s2, s3) | node5(c_e_h_3, c_j, s2, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29902, 1870, 463])).
% 80.38/52.65 tff(29904,plain,
% 80.38/52.65 (node5(c_e_h_3, c_j, s2, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29903, 29896])).
% 80.38/52.65 tff(29905,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29906,plain,
% 80.38/52.65 ((m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29907,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3))))),
% 80.38/52.65 inference(monotonicity,[status(thm)],[29906])).
% 80.38/52.65 tff(29908,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)))),
% 80.38/52.65 inference(transitivity,[status(thm)],[29907, 29905])).
% 80.38/52.65 tff(29909,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29910,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | (~node5(c_e_h_3, c_j, s2, s3))),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29909, 29908])).
% 80.38/52.65 tff(29911,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29910, 1888, 29904, 29884, 29883, 29814])).
% 80.38/52.65 tff(29912,plain,((~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29913,plain,
% 80.38/52.65 (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29912, 29809])).
% 80.38/52.65 tff(29914,assumption,(m_c_h_element_v_in2(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.65 tff(29915,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_j, s3)), introduced(assumption)).
% 80.38/52.65 tff(29916,plain,
% 80.38/52.65 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29917,plain,
% 80.38/52.65 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29918,plain,
% 80.38/52.65 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 80.38/52.65 tff(29919,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29918, 1740, 29915, 29914])).
% 80.38/52.65 tff(29920,plain,((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29921,plain,
% 80.38/52.65 (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29920, 29913])).
% 80.38/52.65 tff(29922,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.38/52.65 tff(29923,assumption,(node18(c_e_h_3, c_h, s3, s4)), introduced(assumption)).
% 80.38/52.65 tff(29924,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29925,plain,
% 80.38/52.65 (((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~node18(c_e_h_3, c_h, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29926,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~node18(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4))))),
% 80.38/52.65 inference(monotonicity,[status(thm)],[29925])).
% 80.38/52.65 tff(29927,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~node18(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(transitivity,[status(thm)],[29926, 29924])).
% 80.38/52.65 tff(29928,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~node18(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29929,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node18(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 80.38/52.65 tff(29930,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29929, 481, 29922, 2214, 29923])).
% 80.38/52.65 tff(29931,plain,((~node18(c_e_h_3, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29932,plain,
% 80.38/52.65 (~node18(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29931, 29922])).
% 80.38/52.65 tff(29933,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.65 tff(29934,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.65 tff(29935,assumption,(node14(c_e_h_3, c_h, s3, s4)), introduced(assumption)).
% 80.38/52.65 tff(29936,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29937,plain,
% 80.38/52.65 (((~node14(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29938,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4))))),
% 80.38/52.65 inference(monotonicity,[status(thm)],[29937])).
% 80.38/52.65 tff(29939,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(transitivity,[status(thm)],[29938, 29936])).
% 80.38/52.65 tff(29940,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29941,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~node14(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29940, 29939])).
% 80.38/52.65 tff(29942,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29941, 575, 29922, 29935, 29934])).
% 80.38/52.65 tff(29943,plain,((~node14(c_e_h_3, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29944,plain,
% 80.38/52.65 (~node14(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29943, 29922, 29934])).
% 80.38/52.65 tff(29945,assumption,(~node14(c_e_h_3, c_h, s3, s4)), introduced(assumption)).
% 80.38/52.65 tff(29946,assumption,(node15(c_e_h_3, c_h, s3, s4)), introduced(assumption)).
% 80.38/52.65 tff(29947,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node15(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node15(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29948,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node15(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29949,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | (~node15(c_e_h_3, c_h, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3)),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 80.38/52.65 tff(29950,plain,
% 80.38/52.65 ($false),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29949, 612, 29922, 29933, 29946])).
% 80.38/52.65 tff(29951,plain,((~node15(c_e_h_3, c_h, s3, s4)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 80.38/52.65 tff(29952,plain,
% 80.38/52.65 (~node15(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29951, 29933, 29922])).
% 80.38/52.65 tff(29953,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29954,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29955,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29954, 29953])).
% 80.38/52.65 tff(29956,plain,
% 80.38/52.65 (node19(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29955, 494, 711])).
% 80.38/52.65 tff(29957,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29958,plain,
% 80.38/52.65 ((node16(c_e_h_3, c_h, s3) | node14(c_e_h_3, c_h, s3, s4) | node15(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4))) <=> (node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(rewrite,[status(thm)],[])).
% 80.38/52.65 tff(29959,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s3) | node14(c_e_h_3, c_h, s3, s4) | node15(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(monotonicity,[status(thm)],[29958])).
% 80.38/52.65 tff(29960,plain,
% 80.38/52.65 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s3) | node14(c_e_h_3, c_h, s3, s4) | node15(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4))),
% 80.38/52.65 inference(transitivity,[status(thm)],[29959, 29957])).
% 80.38/52.65 tff(29961,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s3) | node14(c_e_h_3, c_h, s3, s4) | node15(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.65 inference(quant_inst,[status(thm)],[])).
% 80.38/52.65 tff(29962,plain,
% 80.38/52.65 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(modus_ponens,[status(thm)],[29961, 29960])).
% 80.38/52.65 tff(29963,plain,
% 80.38/52.65 (node14(c_e_h_3, c_h, s3, s4) | node16(c_e_h_3, c_h, s3) | node15(c_e_h_3, c_h, s3, s4)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29962, 594, 29956])).
% 80.38/52.65 tff(29964,plain,
% 80.38/52.65 (node16(c_e_h_3, c_h, s3)),
% 80.38/52.65 inference(unit_resolution,[status(thm)],[29963, 29952, 29945])).
% 80.38/52.66 tff(29965,assumption,(node17(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.66 tff(29966,assumption,(node16(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.66 tff(29967,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.38/52.66 tff(29968,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29969,plain,
% 80.38/52.66 (((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3))) <=> (m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29970,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3))))),
% 80.38/52.66 inference(monotonicity,[status(thm)],[29969])).
% 80.38/52.66 tff(29971,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(transitivity,[status(thm)],[29970, 29968])).
% 80.38/52.66 tff(29972,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(quant_inst,[status(thm)],[])).
% 80.38/52.66 tff(29973,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(modus_ponens,[status(thm)],[29972, 29971])).
% 80.38/52.66 tff(29974,plain,
% 80.38/52.66 (m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29973, 541, 29965])).
% 80.38/52.66 tff(29975,plain,
% 80.38/52.66 (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29974, 29967])).
% 80.38/52.66 tff(29976,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | m_c_h_element_v_in2(c_e_h_3, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | m_c_h_element_v_in2(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29977,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | m_c_h_element_v_in2(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(quant_inst,[status(thm)],[])).
% 80.38/52.66 tff(29978,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3) | m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(modus_ponens,[status(thm)],[29977, 29976])).
% 80.38/52.66 tff(29979,plain,
% 80.38/52.66 (m_c_h_element_v_in1(c_e_h_3, c_h, s3) | m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29978, 559, 29966])).
% 80.38/52.66 tff(29980,plain,
% 80.38/52.66 ($false),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29979, 29975, 29967])).
% 80.38/52.66 tff(29981,plain,(m_c_h_element_v_in2(c_e_h_3, c_h, s3) | (~node16(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 80.38/52.66 tff(29982,plain,
% 80.38/52.66 (m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29981, 29966, 29965])).
% 80.38/52.66 tff(29983,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29984,plain,
% 80.38/52.66 ((m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29985,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(monotonicity,[status(thm)],[29984])).
% 80.38/52.66 tff(29986,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(transitivity,[status(thm)],[29985, 29983])).
% 80.38/52.66 tff(29987,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(quant_inst,[status(thm)],[])).
% 80.38/52.66 tff(29988,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 80.38/52.66 tff(29989,plain,
% 80.38/52.66 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29988, 1172, 29965])).
% 80.38/52.66 tff(29990,plain,
% 80.38/52.66 (m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29989, 29982])).
% 80.38/52.66 tff(29991,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29992,plain,
% 80.38/52.66 (((~node16(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(29993,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3))))),
% 80.38/52.66 inference(monotonicity,[status(thm)],[29992])).
% 80.38/52.66 tff(29994,plain,
% 80.38/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(transitivity,[status(thm)],[29993, 29991])).
% 80.38/52.66 tff(29995,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)))),
% 80.38/52.66 inference(quant_inst,[status(thm)],[])).
% 80.38/52.66 tff(29996,plain,
% 80.38/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | (~node16(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 80.38/52.66 tff(29997,plain,
% 80.38/52.66 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29996, 1192, 29966])).
% 80.38/52.66 tff(29998,plain,
% 80.38/52.66 ($false),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29997, 29990, 29982])).
% 80.38/52.66 tff(29999,plain,((~node16(c_e_h_3, c_h, s3)) | (~node17(c_e_h_3, c_h, s3))), inference(lemma,lemma(discharge,[]))).
% 80.38/52.66 tff(30000,plain,
% 80.38/52.66 (~node17(c_e_h_3, c_h, s3)),
% 80.38/52.66 inference(unit_resolution,[status(thm)],[29999, 29964])).
% 80.38/52.66 tff(30001,plain,
% 80.38/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(30002,plain,
% 80.38/52.66 ((node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4))) <=> ((~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4))),
% 80.38/52.66 inference(rewrite,[status(thm)],[])).
% 80.38/52.66 tff(30003,plain,
% 80.38/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4)))),
% 80.38/52.66 inference(monotonicity,[status(thm)],[30002])).
% 80.38/52.66 tff(30004,plain,
% 80.38/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4))),
% 80.40/52.66 inference(transitivity,[status(thm)],[30003, 30001])).
% 80.40/52.66 tff(30005,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4) | (~node19(c_e_h_3, c_h, s3, s4)))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30006,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_h, s3, s4)) | node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 80.40/52.66 tff(30007,plain,
% 80.40/52.66 (node17(c_e_h_3, c_h, s3) | node18(c_e_h_3, c_h, s3, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30006, 508, 29956])).
% 80.40/52.66 tff(30008,plain,
% 80.40/52.66 (node18(c_e_h_3, c_h, s3, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30007, 30000])).
% 80.40/52.66 tff(30009,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[29929, 481, 29922, 29933, 30008])).
% 80.40/52.66 tff(30010,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | node14(c_e_h_3, c_h, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30011,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30010, 29944, 29922, 29933])).
% 80.40/52.66 tff(30012,plain,((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s3) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30013,plain,
% 80.40/52.66 ((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30012, 2214])).
% 80.40/52.66 tff(30014,plain,
% 80.40/52.66 (m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30013, 29922])).
% 80.40/52.66 tff(30015,plain,
% 80.40/52.66 ((~node17(c_e_h_3, c_h, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3))),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[29973, 541, 29967])).
% 80.40/52.66 tff(30016,plain,
% 80.40/52.66 (~node17(c_e_h_3, c_h, s3)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30015, 30014])).
% 80.40/52.66 tff(30017,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30007, 30016, 29932])).
% 80.40/52.66 tff(30018,plain,((~m_c_h_element_v_out(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s3)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30019,plain,
% 80.40/52.66 (~m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30018, 29921])).
% 80.40/52.66 tff(30020,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_i, s4)), introduced(assumption)).
% 80.40/52.66 tff(30021,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.40/52.66 tff(30022,plain,
% 80.40/52.66 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30023,plain,
% 80.40/52.66 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30024,plain,
% 80.40/52.66 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)) | m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30023, 30022])).
% 80.40/52.66 tff(30025,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30024, 8, 30021, 30020])).
% 80.40/52.66 tff(30026,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30027,plain,
% 80.40/52.66 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30026, 30019])).
% 80.40/52.66 tff(30028,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)), introduced(assumption)).
% 80.40/52.66 tff(30029,assumption,(node20(c_e_h_3, c_i, s4)), introduced(assumption)).
% 80.40/52.66 tff(30030,plain,
% 80.40/52.66 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s4))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30031,plain,
% 80.40/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s4))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30032,plain,
% 80.40/52.66 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30031, 30030])).
% 80.40/52.66 tff(30033,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30032, 22, 30029, 30028])).
% 80.40/52.66 tff(30034,plain,(m_and_h_gate_v_in1(c_e_h_3, c_i, s4) | (~node20(c_e_h_3, c_i, s4))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30035,plain,
% 80.40/52.66 (~node20(c_e_h_3, c_i, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30034, 30027])).
% 80.40/52.66 tff(30036,assumption,(~node20(c_e_h_3, c_i, s4)), introduced(assumption)).
% 80.40/52.66 tff(30037,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s5)), introduced(assumption)).
% 80.40/52.66 tff(30038,assumption,(node21(c_e_h_3, c_i, s4, s5)), introduced(assumption)).
% 80.40/52.66 tff(30039,plain,
% 80.40/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node21(c_e_h_3, c_i, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node21(c_e_h_3, c_i, s4, s5)))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30040,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node21(c_e_h_3, c_i, s4, s5)))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30041,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node21(c_e_h_3, c_i, s4, s5))),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30040, 30039])).
% 80.40/52.66 tff(30042,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30041, 348, 30038, 30037, 30036])).
% 80.40/52.66 tff(30043,plain,((~node21(c_e_h_3, c_i, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | node20(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30044,plain,
% 80.40/52.66 (~node21(c_e_h_3, c_i, s4, s5)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30043, 30037, 30036])).
% 80.40/52.66 tff(30045,assumption,(node22(c_e_h_3, c_i, s4, s5)), introduced(assumption)).
% 80.40/52.66 tff(30046,plain,
% 80.40/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node22(c_e_h_3, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node22(c_e_h_3, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30047,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node22(c_e_h_3, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30048,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | (~node22(c_e_h_3, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30047, 30046])).
% 80.40/52.66 tff(30049,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30048, 437, 2251, 30045, 30037])).
% 80.40/52.66 tff(30050,plain,((~node22(c_e_h_3, c_i, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s5))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30051,plain,
% 80.40/52.66 (~node22(c_e_h_3, c_i, s4, s5)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30050, 30037, 2251])).
% 80.40/52.66 tff(30052,plain,
% 80.40/52.66 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_i, s4, s5) | node22(c_e_h_3, c_i, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_i, s4, s5) | node22(c_e_h_3, c_i, s4, s5))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30053,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_i, s4, s5) | node22(c_e_h_3, c_i, s4, s5))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30054,plain,
% 80.40/52.66 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_i, s4, s5) | node22(c_e_h_3, c_i, s4, s5)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 80.40/52.66 tff(30055,plain,
% 80.40/52.66 (node21(c_e_h_3, c_i, s4, s5) | node22(c_e_h_3, c_i, s4, s5)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30054, 383, 930])).
% 80.40/52.66 tff(30056,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30055, 30051, 30044])).
% 80.40/52.66 tff(30057,plain,((~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4) | node20(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30058,plain,
% 80.40/52.66 ((~m_and_h_gate_v_out(c_e_h_3, c_i, s5)) | node20(c_e_h_3, c_i, s4)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30057, 2250])).
% 80.40/52.66 tff(30059,plain,
% 80.40/52.66 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30058, 30035])).
% 80.40/52.66 tff(30060,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s5)), introduced(assumption)).
% 80.40/52.66 tff(30061,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s5)), introduced(assumption)).
% 80.40/52.66 tff(30062,plain,
% 80.40/52.66 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))),
% 80.40/52.66 inference(rewrite,[status(thm)],[])).
% 80.40/52.66 tff(30063,plain,
% 80.40/52.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))),
% 80.40/52.66 inference(quant_inst,[status(thm)],[])).
% 80.40/52.66 tff(30064,plain,
% 80.40/52.66 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.40/52.66 inference(modus_ponens,[status(thm)],[30063, 30062])).
% 80.40/52.66 tff(30065,plain,
% 80.40/52.66 ($false),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30064, 527, 30061, 30060])).
% 80.40/52.66 tff(30066,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s5)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.66 tff(30067,plain,
% 80.40/52.66 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[30066, 30059])).
% 80.40/52.66 tff(30068,plain,
% 80.40/52.66 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[3520, 30067])).
% 80.40/52.66 tff(30069,plain,
% 80.40/52.66 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.40/52.66 inference(unit_resolution,[status(thm)],[8406, 30068])).
% 80.40/52.66 tff(30070,plain,
% 80.40/52.66 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[8478, 30069])).
% 80.40/52.67 tff(30071,plain,
% 80.40/52.67 (node20(c_e_h_1, c_i, s11)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[27518, 29064, 29058, 20773])).
% 80.40/52.67 tff(30072,plain,
% 80.40/52.67 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[8182, 30071])).
% 80.40/52.67 tff(30073,plain,
% 80.40/52.67 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[8174, 30072])).
% 80.40/52.67 tff(30074,plain,
% 80.40/52.67 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[8166, 30073, 8075])).
% 80.40/52.67 tff(30075,plain,
% 80.40/52.67 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[6065, 30074])).
% 80.40/52.67 tff(30076,plain,
% 80.40/52.67 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[29098, 30073, 29057])).
% 80.40/52.67 tff(30077,plain,
% 80.40/52.67 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30078,plain,
% 80.40/52.67 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30079,plain,
% 80.40/52.67 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_j, X)) | m_c_h_element_v_in2(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 80.40/52.67 tff(30080,plain,
% 80.40/52.67 ($false),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30079, 29035, 8796, 8836])).
% 80.40/52.67 tff(30081,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_c_h_element_v_in2(c_e_h_1, c_h, s11)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.67 tff(30082,plain,
% 80.40/52.67 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30081, 30076])).
% 80.40/52.67 tff(30083,assumption,(node18(c_e_h_1, c_f, s13, s14)), introduced(assumption)).
% 80.40/52.67 tff(30084,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30085,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30086,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node18(c_e_h_1, c_f, s13, s14))),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 80.40/52.67 tff(30087,plain,
% 80.40/52.67 ($false),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30086, 6627, 29043, 27415, 30083])).
% 80.40/52.67 tff(30088,plain,((~node18(c_e_h_1, c_f, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.67 tff(30089,plain,
% 80.40/52.67 (~node18(c_e_h_1, c_f, s13, s14)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30088, 27415, 29043])).
% 80.40/52.67 tff(30090,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_f, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_f, s13, s14))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30091,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_f, s13, s14))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30092,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_f, s13, s14)),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30091, 30090])).
% 80.40/52.67 tff(30093,plain,
% 80.40/52.67 (node19(c_e_h_1, c_f, s13, s14)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30092, 494, 8985])).
% 80.40/52.67 tff(30094,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30095,plain,
% 80.40/52.67 ((node17(c_e_h_1, c_f, s13) | node18(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14))) <=> ((~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30096,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s13) | node18(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30095])).
% 80.40/52.67 tff(30097,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s13) | node18(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30096, 30094])).
% 80.40/52.67 tff(30098,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_f, s13) | node18(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30099,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 80.40/52.67 tff(30100,plain,
% 80.40/52.67 (node18(c_e_h_1, c_f, s13, s14) | node17(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30099, 508, 30093])).
% 80.40/52.67 tff(30101,plain,
% 80.40/52.67 (node17(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30100, 30089])).
% 80.40/52.67 tff(30102,assumption,(m_c_h_element_v_in2(c_e_h_1, c_f, s13)), introduced(assumption)).
% 80.40/52.67 tff(30103,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30104,plain,
% 80.40/52.67 ((m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~node17(c_e_h_1, c_f, s13))) <=> ((~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30105,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~node17(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13))))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30104])).
% 80.40/52.67 tff(30106,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~node17(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30105, 30103])).
% 80.40/52.67 tff(30107,plain,
% 80.40/52.67 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~node17(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30108,plain,
% 80.40/52.67 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30107, 30106])).
% 80.40/52.67 tff(30109,plain,
% 80.40/52.67 ((~node17(c_e_h_1, c_f, s13)) | m_c_h_element_v_in1(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30108, 1172, 30102])).
% 80.40/52.67 tff(30110,plain,
% 80.40/52.67 (m_c_h_element_v_in1(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30109, 30101])).
% 80.40/52.67 tff(30111,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30112,plain,
% 80.40/52.67 (((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13))) <=> ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30113,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30112])).
% 80.40/52.67 tff(30114,plain,
% 80.40/52.67 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30113, 30111])).
% 80.40/52.67 tff(30115,plain,
% 80.40/52.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30116,plain,
% 80.40/52.67 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30115, 30114])).
% 80.40/52.67 tff(30117,plain,
% 80.40/52.67 ((~node16(c_e_h_1, c_f, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30116, 1192, 30102])).
% 80.40/52.67 tff(30118,plain,
% 80.40/52.67 (~node16(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30117, 30110])).
% 80.40/52.67 tff(30119,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s13)), introduced(assumption)).
% 80.40/52.67 tff(30120,assumption,(node14(c_e_h_1, c_f, s13, s14)), introduced(assumption)).
% 80.40/52.67 tff(30121,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30122,plain,
% 80.40/52.67 (((~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s14)) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30123,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30122])).
% 80.40/52.67 tff(30124,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30123, 30121])).
% 80.40/52.67 tff(30125,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s14))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30126,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node14(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30125, 30124])).
% 80.40/52.67 tff(30127,plain,
% 80.40/52.67 ($false),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30126, 20645, 29043, 30120, 30119])).
% 80.40/52.67 tff(30128,plain,((~node14(c_e_h_1, c_f, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s13))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.67 tff(30129,plain,
% 80.40/52.67 (~node14(c_e_h_1, c_f, s13, s14)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30128, 30110, 29043])).
% 80.40/52.67 tff(30130,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30131,plain,
% 80.40/52.67 ((node16(c_e_h_1, c_f, s13) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14))) <=> ((~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30132,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s13) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30131])).
% 80.40/52.67 tff(30133,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s13) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30132, 30130])).
% 80.40/52.67 tff(30134,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_f, s13) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | (~node19(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30135,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_f, s13, s14)) | node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30134, 30133])).
% 80.40/52.67 tff(30136,plain,
% 80.40/52.67 (node14(c_e_h_1, c_f, s13, s14) | node15(c_e_h_1, c_f, s13, s14) | node16(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30135, 594, 30093])).
% 80.40/52.67 tff(30137,plain,
% 80.40/52.67 (node15(c_e_h_1, c_f, s13, s14)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30136, 30129, 30118])).
% 80.40/52.67 tff(30138,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30139,plain,
% 80.40/52.67 ((m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node15(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30140,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node15(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14))))),
% 80.40/52.67 inference(monotonicity,[status(thm)],[30139])).
% 80.40/52.67 tff(30141,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node15(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14)))),
% 80.40/52.67 inference(transitivity,[status(thm)],[30140, 30138])).
% 80.40/52.67 tff(30142,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~node15(c_e_h_1, c_f, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30143,plain,
% 80.40/52.67 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | (~node15(c_e_h_1, c_f, s13, s14))),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 80.40/52.67 tff(30144,plain,
% 80.40/52.67 ($false),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30143, 20664, 29043, 27415, 30137])).
% 80.40/52.67 tff(30145,plain,((~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s13))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.67 tff(30146,plain,
% 80.40/52.67 (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30145, 29064, 29043])).
% 80.40/52.67 tff(30147,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_f, s13)), introduced(assumption)).
% 80.40/52.67 tff(30148,plain,
% 80.40/52.67 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(rewrite,[status(thm)],[])).
% 80.40/52.67 tff(30149,plain,
% 80.40/52.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s13))),
% 80.40/52.67 inference(quant_inst,[status(thm)],[])).
% 80.40/52.67 tff(30150,plain,
% 80.40/52.67 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.40/52.67 inference(modus_ponens,[status(thm)],[30149, 30148])).
% 80.40/52.67 tff(30151,plain,
% 80.40/52.67 ($false),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30150, 25891, 30147, 8835])).
% 80.40/52.67 tff(30152,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_c_h_element_v_in2(c_e_h_1, c_f, s13)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.67 tff(30153,plain,
% 80.40/52.67 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.40/52.67 inference(unit_resolution,[status(thm)],[30152, 30146])).
% 80.40/52.67 tff(30154,assumption,(node22(c_e_h_1, c_i, s12, s13)), introduced(assumption)).
% 80.40/52.67 tff(30155,plain,
% 80.40/52.67 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30156,plain,
% 80.40/52.68 ((m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node22(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30157,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node22(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13))))),
% 80.40/52.68 inference(monotonicity,[status(thm)],[30156])).
% 80.40/52.68 tff(30158,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node22(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(transitivity,[status(thm)],[30157, 30155])).
% 80.40/52.68 tff(30159,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node22(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30160,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | (~node22(c_e_h_1, c_i, s12, s13))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 80.40/52.68 tff(30161,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30160, 6905, 8350, 8962, 30154])).
% 80.40/52.68 tff(30162,plain,((~node22(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30163,plain,
% 80.40/52.68 (~node22(c_e_h_1, c_i, s12, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30162, 30153, 29066])).
% 80.40/52.68 tff(30164,plain,
% 80.40/52.68 (node21(c_e_h_1, c_i, s12, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[8946, 30163])).
% 80.40/52.68 tff(30165,assumption,(~node20(c_e_h_1, c_i, s13)), introduced(assumption)).
% 80.40/52.68 tff(30166,assumption,(node21(c_e_h_1, c_i, s13, s14)), introduced(assumption)).
% 80.40/52.68 tff(30167,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node21(c_e_h_1, c_i, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node21(c_e_h_1, c_i, s13, s14)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30168,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node21(c_e_h_1, c_i, s13, s14)))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30169,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node21(c_e_h_1, c_i, s13, s14))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30168, 30167])).
% 80.40/52.68 tff(30170,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30169, 348, 29042, 30166, 30165])).
% 80.40/52.68 tff(30171,plain,((~node21(c_e_h_1, c_i, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | node20(c_e_h_1, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30172,plain,
% 80.40/52.68 (~node21(c_e_h_1, c_i, s13, s14)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30171, 29042, 30165])).
% 80.40/52.68 tff(30173,assumption,(node22(c_e_h_1, c_i, s13, s14)), introduced(assumption)).
% 80.40/52.68 tff(30174,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node22(c_e_h_1, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node22(c_e_h_1, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30175,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node22(c_e_h_1, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30176,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | (~node22(c_e_h_1, c_i, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30175, 30174])).
% 80.40/52.68 tff(30177,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30176, 437, 29042, 30173, 8962])).
% 80.40/52.68 tff(30178,plain,((~node22(c_e_h_1, c_i, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30179,plain,
% 80.40/52.68 (~node22(c_e_h_1, c_i, s13, s14)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30178, 29042, 8962])).
% 80.40/52.68 tff(30180,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_i, s13, s14) | node22(c_e_h_1, c_i, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_i, s13, s14) | node22(c_e_h_1, c_i, s13, s14))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30181,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_i, s13, s14) | node22(c_e_h_1, c_i, s13, s14))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30182,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_i, s13, s14) | node22(c_e_h_1, c_i, s13, s14)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 80.40/52.68 tff(30183,plain,
% 80.40/52.68 (node21(c_e_h_1, c_i, s13, s14) | node22(c_e_h_1, c_i, s13, s14)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30182, 383, 8985])).
% 80.40/52.68 tff(30184,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30183, 30179, 30172])).
% 80.40/52.68 tff(30185,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | node20(c_e_h_1, c_i, s13)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30186,plain,
% 80.40/52.68 (node20(c_e_h_1, c_i, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30185, 30153, 29042])).
% 80.40/52.68 tff(30187,plain,
% 80.40/52.68 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s13))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30188,plain,
% 80.40/52.68 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s13))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30189,plain,
% 80.40/52.68 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 80.40/52.68 tff(30190,plain,
% 80.40/52.68 (m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30189, 22, 30186])).
% 80.40/52.68 tff(30191,plain,
% 80.40/52.68 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30192,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30193,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 80.40/52.68 tff(30194,plain,
% 80.40/52.68 (m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30193, 8, 30190])).
% 80.40/52.68 tff(30195,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s13)), introduced(assumption)).
% 80.40/52.68 tff(30196,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.40/52.68 tff(30197,plain,
% 80.40/52.68 (^[I0: $i, X: $i] : refl((m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X)) <=> (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X)))),
% 80.40/52.68 inference(bind,[status(th)],[])).
% 80.40/52.68 tff(30198,plain,
% 80.40/52.68 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))),
% 80.40/52.68 inference(quant_intro,[status(thm)],[30197])).
% 80.40/52.68 tff(30199,plain,
% 80.40/52.68 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X)) <=> ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30200,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_37')).
% 80.40/52.68 tff(30201,plain,
% 80.40/52.68 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30200, 30199])).
% 80.40/52.68 tff(30202,plain,(
% 80.40/52.68 ![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))),
% 80.40/52.68 inference(skolemize,[status(sab)],[30201])).
% 80.40/52.68 tff(30203,plain,
% 80.40/52.68 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30202, 30198])).
% 80.40/52.68 tff(30204,plain,
% 80.40/52.68 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_i, s12) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30205,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_i, s12) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30206,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 80.40/52.68 tff(30207,plain,
% 80.40/52.68 (m_and_h_gate_v_in2(c_e_h_1, c_i, s12) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30206, 30203])).
% 80.40/52.68 tff(30208,plain,
% 80.40/52.68 (m_and_h_gate_v_in2(c_e_h_1, c_i, s12)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30207, 30196])).
% 80.40/52.68 tff(30209,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30210,plain,
% 80.40/52.68 (((~node21(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30211,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13))))),
% 80.40/52.68 inference(monotonicity,[status(thm)],[30210])).
% 80.40/52.68 tff(30212,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13)))),
% 80.40/52.68 inference(transitivity,[status(thm)],[30211, 30209])).
% 80.40/52.68 tff(30213,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s12, s13)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30214,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 80.40/52.68 tff(30215,plain,
% 80.40/52.68 ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12))),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30214, 7190, 8962, 8933])).
% 80.40/52.68 tff(30216,plain,
% 80.40/52.68 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30215, 30208])).
% 80.40/52.68 tff(30217,plain,
% 80.40/52.68 (^[I0: $i, X: $i] : refl(((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X)) <=> ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X)))),
% 80.40/52.68 inference(bind,[status(th)],[])).
% 80.40/52.68 tff(30218,plain,
% 80.40/52.68 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(quant_intro,[status(thm)],[30217])).
% 80.40/52.68 tff(30219,plain,
% 80.40/52.68 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X)) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30220,plain,
% 80.40/52.68 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_i, X) | (~m_c_h_element_v_out(I0, c_h, X))) <=> ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X)))),
% 80.40/52.68 inference(bind,[status(th)],[])).
% 80.40/52.68 tff(30221,plain,
% 80.40/52.68 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_i, X) | (~m_c_h_element_v_out(I0, c_h, X))) <=> ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(quant_intro,[status(thm)],[30220])).
% 80.40/52.68 tff(30222,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_i, X) | (~m_c_h_element_v_out(I0, c_h, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_35')).
% 80.40/52.68 tff(30223,plain,
% 80.40/52.68 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30222, 30221])).
% 80.40/52.68 tff(30224,plain,
% 80.40/52.68 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30223, 30219])).
% 80.40/52.68 tff(30225,plain,(
% 80.40/52.68 ![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(skolemize,[status(sab)],[30224])).
% 80.40/52.68 tff(30226,plain,
% 80.40/52.68 (![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30225, 30218])).
% 80.40/52.68 tff(30227,plain,
% 80.40/52.68 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30228,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30229,plain,
% 80.40/52.68 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30228, 30227])).
% 80.40/52.68 tff(30230,plain,
% 80.40/52.68 (~m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30229, 30226, 30216])).
% 80.40/52.68 tff(30231,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s12)), introduced(assumption)).
% 80.40/52.68 tff(30232,assumption,(node14(c_e_h_1, c_h, s12, s13)), introduced(assumption)).
% 80.40/52.68 tff(30233,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30234,plain,
% 80.40/52.68 (((~node14(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30235,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13))))),
% 80.40/52.68 inference(monotonicity,[status(thm)],[30234])).
% 80.40/52.68 tff(30236,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.68 inference(transitivity,[status(thm)],[30235, 30233])).
% 80.40/52.68 tff(30237,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30238,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node14(c_e_h_1, c_h, s12, s13))),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 80.40/52.68 tff(30239,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30238, 575, 30195, 30232, 30231])).
% 80.40/52.68 tff(30240,plain,((~node14(c_e_h_1, c_h, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30241,plain,
% 80.40/52.68 (~node14(c_e_h_1, c_h, s12, s13)),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30240, 30195, 30231])).
% 80.40/52.68 tff(30242,assumption,(node15(c_e_h_1, c_h, s12, s13)), introduced(assumption)).
% 80.40/52.68 tff(30243,plain,
% 80.40/52.68 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node15(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node15(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))),
% 80.40/52.68 inference(rewrite,[status(thm)],[])).
% 80.40/52.68 tff(30244,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node15(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12))),
% 80.40/52.68 inference(quant_inst,[status(thm)],[])).
% 80.40/52.68 tff(30245,plain,
% 80.40/52.68 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node15(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.40/52.68 inference(modus_ponens,[status(thm)],[30244, 30243])).
% 80.40/52.68 tff(30246,plain,
% 80.40/52.68 ($false),
% 80.40/52.68 inference(unit_resolution,[status(thm)],[30245, 612, 29057, 30195, 30242])).
% 80.40/52.68 tff(30247,plain,((~node15(c_e_h_1, c_h, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.68 tff(30248,plain,
% 80.40/52.68 (~node15(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30247, 29057, 30195])).
% 80.40/52.69 tff(30249,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_h, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_h, s12, s13))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30250,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s12, s13)) | node19(c_e_h_1, c_h, s12, s13))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30251,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s12, s13)) | node19(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30250, 30249])).
% 80.40/52.69 tff(30252,plain,
% 80.40/52.69 (node19(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30251, 494, 8278])).
% 80.40/52.69 tff(30253,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30254,plain,
% 80.40/52.69 ((node16(c_e_h_1, c_h, s12) | node14(c_e_h_1, c_h, s12, s13) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13))) <=> (node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30255,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s12) | node14(c_e_h_1, c_h, s12, s13) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13))))),
% 80.40/52.69 inference(monotonicity,[status(thm)],[30254])).
% 80.40/52.69 tff(30256,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s12) | node14(c_e_h_1, c_h, s12, s13) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(transitivity,[status(thm)],[30255, 30253])).
% 80.40/52.69 tff(30257,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s12) | node14(c_e_h_1, c_h, s12, s13) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30258,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13))),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30257, 30256])).
% 80.40/52.69 tff(30259,plain,
% 80.40/52.69 (node14(c_e_h_1, c_h, s12, s13) | node16(c_e_h_1, c_h, s12) | node15(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30258, 594, 30252])).
% 80.40/52.69 tff(30260,plain,
% 80.40/52.69 (node16(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30259, 30248, 30241])).
% 80.40/52.69 tff(30261,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | m_c_h_element_v_in2(c_e_h_1, c_h, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | m_c_h_element_v_in2(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30262,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | m_c_h_element_v_in2(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30263,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30262, 30261])).
% 80.40/52.69 tff(30264,plain,
% 80.40/52.69 ((~node16(c_e_h_1, c_h, s12)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30263, 559, 30231])).
% 80.40/52.69 tff(30265,plain,
% 80.40/52.69 (m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30264, 30260])).
% 80.40/52.69 tff(30266,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30267,plain,
% 80.40/52.69 ((m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | (~node17(c_e_h_1, c_h, s12))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30268,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | (~node17(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12))))),
% 80.40/52.69 inference(monotonicity,[status(thm)],[30267])).
% 80.40/52.69 tff(30269,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | (~node17(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(transitivity,[status(thm)],[30268, 30266])).
% 80.40/52.69 tff(30270,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | (~node17(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30271,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 80.40/52.69 tff(30272,plain,
% 80.40/52.69 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | (~node17(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30271, 1172, 30231])).
% 80.40/52.69 tff(30273,plain,
% 80.40/52.69 (~node17(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30272, 30265])).
% 80.40/52.69 tff(30274,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s12) | node18(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s12) | node18(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30275,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s12) | node18(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30276,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s12) | node18(c_e_h_1, c_h, s12, s13) | (~node19(c_e_h_1, c_h, s12, s13))),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 80.40/52.69 tff(30277,plain,
% 80.40/52.69 (node17(c_e_h_1, c_h, s12) | node18(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30276, 508, 30252])).
% 80.40/52.69 tff(30278,plain,
% 80.40/52.69 (node18(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30277, 30273])).
% 80.40/52.69 tff(30279,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30280,plain,
% 80.40/52.69 (((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s12, s13))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30281,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13))))),
% 80.40/52.69 inference(monotonicity,[status(thm)],[30280])).
% 80.40/52.69 tff(30282,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(transitivity,[status(thm)],[30281, 30279])).
% 80.40/52.69 tff(30283,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~node18(c_e_h_1, c_h, s12, s13)))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30284,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | (~node18(c_e_h_1, c_h, s12, s13))),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30283, 30282])).
% 80.40/52.69 tff(30285,plain,
% 80.40/52.69 ($false),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30284, 481, 29057, 30195, 30278])).
% 80.40/52.69 tff(30286,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.69 tff(30287,plain,
% 80.40/52.69 (m_c_h_element_v_in1(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30286, 29057, 30195])).
% 80.40/52.69 tff(30288,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s12)), introduced(assumption)).
% 80.40/52.69 tff(30289,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30290,plain,
% 80.40/52.69 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s12)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30291,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s12)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12))))),
% 80.40/52.69 inference(monotonicity,[status(thm)],[30290])).
% 80.40/52.69 tff(30292,plain,
% 80.40/52.69 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s12)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(transitivity,[status(thm)],[30291, 30289])).
% 80.40/52.69 tff(30293,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s12)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30294,plain,
% 80.40/52.69 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s12) | (~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 80.40/52.69 tff(30295,plain,
% 80.40/52.69 ((~node17(c_e_h_1, c_h, s12)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s12))),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30294, 541, 30288])).
% 80.40/52.69 tff(30296,plain,
% 80.40/52.69 (~node17(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30295, 30287])).
% 80.40/52.69 tff(30297,plain,
% 80.40/52.69 (node18(c_e_h_1, c_h, s12, s13)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30277, 30296])).
% 80.40/52.69 tff(30298,plain,
% 80.40/52.69 ($false),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30284, 481, 29057, 30195, 30297])).
% 80.40/52.69 tff(30299,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.69 tff(30300,plain,
% 80.40/52.69 (m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30299, 30230, 30195])).
% 80.40/52.69 tff(30301,plain,
% 80.40/52.69 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30302,plain,
% 80.40/52.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30303,plain,
% 80.40/52.69 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.40/52.69 inference(modus_ponens,[status(thm)],[30302, 30301])).
% 80.40/52.69 tff(30304,plain,
% 80.40/52.69 ($false),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30303, 1740, 30196, 30300])).
% 80.40/52.69 tff(30305,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~node21(c_e_h_1, c_i, s12, s13))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.69 tff(30306,plain,
% 80.40/52.69 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.40/52.69 inference(unit_resolution,[status(thm)],[30305, 30194, 30164, 30153])).
% 80.40/52.69 tff(30307,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.40/52.69 tff(30308,assumption,(~node20(c_e_h_1, c_l, s10)), introduced(assumption)).
% 80.40/52.69 tff(30309,assumption,(node6(c_e_h_1, c_j, s11, s12)), introduced(assumption)).
% 80.40/52.69 tff(30310,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30311,plain,
% 80.40/52.69 (((~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.69 inference(rewrite,[status(thm)],[])).
% 80.40/52.69 tff(30312,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12))))),
% 80.40/52.69 inference(monotonicity,[status(thm)],[30311])).
% 80.40/52.69 tff(30313,plain,
% 80.40/52.69 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.69 inference(transitivity,[status(thm)],[30312, 30310])).
% 80.40/52.69 tff(30314,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 80.40/52.69 inference(quant_inst,[status(thm)],[])).
% 80.40/52.69 tff(30315,plain,
% 80.40/52.69 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s11, s12))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30314, 30313])).
% 80.40/52.70 tff(30316,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30315, 1851, 30307, 30309, 8826])).
% 80.40/52.70 tff(30317,plain,((~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30318,plain,
% 80.40/52.70 (~node6(c_e_h_1, c_j, s11, s12)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30317, 8826, 30307])).
% 80.40/52.70 tff(30319,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30320,plain,
% 80.40/52.70 ((node6(c_e_h_1, c_j, s11, s12) | node5(c_e_h_1, c_j, s11, s12) | (~trans(s11, s12))) <=> ((~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30321,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s11, s12) | node5(c_e_h_1, c_j, s11, s12) | (~trans(s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.70 inference(monotonicity,[status(thm)],[30320])).
% 80.40/52.70 tff(30322,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s11, s12) | node5(c_e_h_1, c_j, s11, s12) | (~trans(s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12))),
% 80.40/52.70 inference(transitivity,[status(thm)],[30321, 30319])).
% 80.40/52.70 tff(30323,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s11, s12) | node5(c_e_h_1, c_j, s11, s12) | (~trans(s11, s12)))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30324,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s11, s12)) | node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30323, 30322])).
% 80.40/52.70 tff(30325,plain,
% 80.40/52.70 (node5(c_e_h_1, c_j, s11, s12) | node6(c_e_h_1, c_j, s11, s12)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30324, 1870, 8210])).
% 80.40/52.70 tff(30326,plain,
% 80.40/52.70 (node5(c_e_h_1, c_j, s11, s12)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30325, 30318])).
% 80.40/52.70 tff(30327,assumption,(node5(c_e_h_1, c_j, s10, s11)), introduced(assumption)).
% 80.40/52.70 tff(30328,assumption,(~node4(c_e_h_1, c_j, s10)), introduced(assumption)).
% 80.40/52.70 tff(30329,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30330,plain,
% 80.40/52.70 ((node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30331,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11))))),
% 80.40/52.70 inference(monotonicity,[status(thm)],[30330])).
% 80.40/52.70 tff(30332,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.70 inference(transitivity,[status(thm)],[30331, 30329])).
% 80.40/52.70 tff(30333,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30334,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | (~node5(c_e_h_1, c_j, s10, s11))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30333, 30332])).
% 80.40/52.70 tff(30335,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30334, 6671, 30327, 8826, 30328])).
% 80.40/52.70 tff(30336,plain,((~node5(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30337,plain,
% 80.40/52.70 (node4(c_e_h_1, c_j, s10)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30336, 8826, 30327])).
% 80.40/52.70 tff(30338,plain,
% 80.40/52.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30339,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30340,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 80.40/52.70 tff(30341,plain,
% 80.40/52.70 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30340, 6717, 30337])).
% 80.40/52.70 tff(30342,plain,
% 80.40/52.70 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X)) <=> ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X)))),
% 80.40/52.70 inference(bind,[status(th)],[])).
% 80.40/52.70 tff(30343,plain,
% 80.40/52.70 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(quant_intro,[status(thm)],[30342])).
% 80.40/52.70 tff(30344,plain,
% 80.40/52.70 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30345,plain,
% 80.40/52.70 (^[I0: $i, X: $i] : rewrite((m_or_h_gate_v_in1(I0, c_j, X) | (~m_and_h_gate_v_out(I0, c_l, X))) <=> ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X)))),
% 80.40/52.70 inference(bind,[status(th)],[])).
% 80.40/52.70 tff(30346,plain,
% 80.40/52.70 (![I0: $i, X: $i] : (m_or_h_gate_v_in1(I0, c_j, X) | (~m_and_h_gate_v_out(I0, c_l, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(quant_intro,[status(thm)],[30345])).
% 80.40/52.70 tff(30347,axiom,(![I0: $i, X: $i] : (m_or_h_gate_v_in1(I0, c_j, X) | (~m_and_h_gate_v_out(I0, c_l, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_39')).
% 80.40/52.70 tff(30348,plain,
% 80.40/52.70 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30347, 30346])).
% 80.40/52.70 tff(30349,plain,
% 80.40/52.70 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30348, 30344])).
% 80.40/52.70 tff(30350,plain,(
% 80.40/52.70 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(skolemize,[status(sab)],[30349])).
% 80.40/52.70 tff(30351,plain,
% 80.40/52.70 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30350, 30343])).
% 80.40/52.70 tff(30352,plain,
% 80.40/52.70 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30353,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30354,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30353, 30352])).
% 80.40/52.70 tff(30355,plain,
% 80.40/52.70 (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30354, 30351, 30341])).
% 80.40/52.70 tff(30356,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.40/52.70 tff(30357,assumption,(node21(c_e_h_1, c_l, s10, s11)), introduced(assumption)).
% 80.40/52.70 tff(30358,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30359,plain,
% 80.40/52.70 ((node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node21(c_e_h_1, c_l, s10, s11))) <=> (node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30360,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node21(c_e_h_1, c_l, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11))))),
% 80.40/52.70 inference(monotonicity,[status(thm)],[30359])).
% 80.40/52.70 tff(30361,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node21(c_e_h_1, c_l, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)))),
% 80.40/52.70 inference(transitivity,[status(thm)],[30360, 30358])).
% 80.40/52.70 tff(30362,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node21(c_e_h_1, c_l, s10, s11)))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30363,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s10) | (~node21(c_e_h_1, c_l, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 80.40/52.70 tff(30364,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30363, 348, 30357, 30308, 30356])).
% 80.40/52.70 tff(30365,plain,((~node21(c_e_h_1, c_l, s10, s11)) | node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30366,plain,
% 80.40/52.70 (~node21(c_e_h_1, c_l, s10, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30365, 30356, 30308])).
% 80.40/52.70 tff(30367,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_l, s10, s11) | node22(c_e_h_1, c_l, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_l, s10, s11) | node22(c_e_h_1, c_l, s10, s11))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30368,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_1, c_l, s10, s11) | node22(c_e_h_1, c_l, s10, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30369,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_1, c_l, s10, s11) | node22(c_e_h_1, c_l, s10, s11)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 80.40/52.70 tff(30370,plain,
% 80.40/52.70 (node21(c_e_h_1, c_l, s10, s11) | node22(c_e_h_1, c_l, s10, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30369, 383, 8015])).
% 80.40/52.70 tff(30371,plain,
% 80.40/52.70 (node22(c_e_h_1, c_l, s10, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30370, 30366])).
% 80.40/52.70 tff(30372,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node22(c_e_h_1, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node22(c_e_h_1, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30373,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node22(c_e_h_1, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30374,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | (~node22(c_e_h_1, c_l, s10, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 80.40/52.70 tff(30375,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30374, 437, 30371, 8787, 30356])).
% 80.40/52.70 tff(30376,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s10) | node20(c_e_h_1, c_l, s10)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30377,plain,
% 80.40/52.70 (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30376, 30355, 30308])).
% 80.40/52.70 tff(30378,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.40/52.70 tff(30379,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s11)), introduced(assumption)).
% 80.40/52.70 tff(30380,plain,
% 80.40/52.70 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30381,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30382,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 80.40/52.70 tff(30383,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30382, 1835, 30379, 30378])).
% 80.40/52.70 tff(30384,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30385,plain,
% 80.40/52.70 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30384, 30377])).
% 80.40/52.70 tff(30386,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)), introduced(assumption)).
% 80.40/52.70 tff(30387,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)), introduced(assumption)).
% 80.40/52.70 tff(30388,assumption,(node5(c_e_h_1, c_j, s11, s12)), introduced(assumption)).
% 80.40/52.70 tff(30389,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30390,plain,
% 80.40/52.70 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30391,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12))))),
% 80.40/52.70 inference(monotonicity,[status(thm)],[30390])).
% 80.40/52.70 tff(30392,plain,
% 80.40/52.70 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.40/52.70 inference(transitivity,[status(thm)],[30391, 30389])).
% 80.40/52.70 tff(30393,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30394,plain,
% 80.40/52.70 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12))),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 80.40/52.70 tff(30395,plain,
% 80.40/52.70 ($false),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30394, 1888, 30307, 30388, 30387, 30386])).
% 80.40/52.70 tff(30396,plain,((~node5(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.70 tff(30397,plain,
% 80.40/52.70 (m_or_h_gate_v_in2(c_e_h_1, c_j, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30396, 30385, 30307, 30326])).
% 80.40/52.70 tff(30398,plain,
% 80.40/52.70 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)) | m_cell_v_ack(c_e_h_1, s11))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)) | m_cell_v_ack(c_e_h_1, s11))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30399,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)) | m_cell_v_ack(c_e_h_1, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30400,plain,
% 80.40/52.70 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)) | m_cell_v_ack(c_e_h_1, s11)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30399, 30398])).
% 80.40/52.70 tff(30401,plain,
% 80.40/52.70 (m_cell_v_ack(c_e_h_1, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30400, 1820, 30397])).
% 80.40/52.70 tff(30402,plain,
% 80.40/52.70 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s11))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30403,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30404,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s11)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 80.40/52.70 tff(30405,plain,
% 80.40/52.70 (node3(c_e_h_3, c_e_h_1, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30404, 1050, 1791])).
% 80.40/52.70 tff(30406,plain,
% 80.40/52.70 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s11)) | (~node3(c_e_h_3, c_e_h_1, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s11)) | (~node3(c_e_h_3, c_e_h_1, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30407,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s11)) | (~node3(c_e_h_3, c_e_h_1, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30408,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s11)) | (~node3(c_e_h_3, c_e_h_1, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.40/52.70 inference(modus_ponens,[status(thm)],[30407, 30406])).
% 80.40/52.70 tff(30409,plain,
% 80.40/52.70 ((~m_cell_v_ack(c_e_h_1, s11)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30408, 1808, 30405])).
% 80.40/52.70 tff(30410,plain,
% 80.40/52.70 (m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[30409, 30401])).
% 80.40/52.70 tff(30411,plain,
% 80.40/52.70 (~node21(c_e_h_3, c_q, s10, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[9182, 30410, 9176])).
% 80.40/52.70 tff(30412,plain,
% 80.40/52.70 (node22(c_e_h_3, c_q, s10, s11)),
% 80.40/52.70 inference(unit_resolution,[status(thm)],[9187, 30411])).
% 80.40/52.70 tff(30413,plain,
% 80.40/52.70 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))),
% 80.40/52.70 inference(rewrite,[status(thm)],[])).
% 80.40/52.70 tff(30414,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10)))),
% 80.40/52.70 inference(quant_inst,[status(thm)],[])).
% 80.40/52.70 tff(30415,plain,
% 80.40/52.70 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)) | (~node4(c_e_h_1, c_j, s10))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 80.40/52.71 tff(30416,plain,
% 80.40/52.71 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30415, 29051, 30337])).
% 80.40/52.71 tff(30417,plain,
% 80.40/52.71 (^[I0: $i, X: $i] : refl(((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X)) <=> ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X)))),
% 80.40/52.71 inference(bind,[status(th)],[])).
% 80.40/52.71 tff(30418,plain,
% 80.40/52.71 (![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(quant_intro,[status(thm)],[30417])).
% 80.40/52.71 tff(30419,plain,
% 80.40/52.71 (![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X)) <=> ![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30420,plain,
% 80.40/52.71 (^[I0: $i, X: $i] : rewrite((m_or_h_gate_v_in2(I0, c_j, X) | (~m_cell_v_ack(I0, X))) <=> ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X)))),
% 80.40/52.71 inference(bind,[status(th)],[])).
% 80.40/52.71 tff(30421,plain,
% 80.40/52.71 (![I0: $i, X: $i] : (m_or_h_gate_v_in2(I0, c_j, X) | (~m_cell_v_ack(I0, X))) <=> ![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(quant_intro,[status(thm)],[30420])).
% 80.40/52.71 tff(30422,axiom,(![I0: $i, X: $i] : (m_or_h_gate_v_in2(I0, c_j, X) | (~m_cell_v_ack(I0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_41')).
% 80.40/52.71 tff(30423,plain,
% 80.40/52.71 (![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 80.40/52.71 tff(30424,plain,
% 80.40/52.71 (![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30423, 30419])).
% 80.40/52.71 tff(30425,plain,(
% 80.40/52.71 ![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(skolemize,[status(sab)],[30424])).
% 80.40/52.71 tff(30426,plain,
% 80.40/52.71 (![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30425, 30418])).
% 80.40/52.71 tff(30427,plain,
% 80.40/52.71 (((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | ((~m_cell_v_ack(c_e_h_1, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | (~m_cell_v_ack(c_e_h_1, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30428,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | ((~m_cell_v_ack(c_e_h_1, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30429,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | (~m_cell_v_ack(c_e_h_1, s10)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s10)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30428, 30427])).
% 80.40/52.71 tff(30430,plain,
% 80.40/52.71 (~m_cell_v_ack(c_e_h_1, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30429, 30426, 30416])).
% 80.40/52.71 tff(30431,plain,
% 80.40/52.71 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30432,plain,
% 80.40/52.71 ((m_cell_v_ack(c_e_h_1, s10) | (~node3(c_e_h_3, c_e_h_1, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30433,plain,
% 80.40/52.71 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s10) | (~node3(c_e_h_3, c_e_h_1, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10)))),
% 80.40/52.71 inference(monotonicity,[status(thm)],[30432])).
% 80.40/52.71 tff(30434,plain,
% 80.40/52.71 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s10) | (~node3(c_e_h_3, c_e_h_1, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10))),
% 80.40/52.71 inference(transitivity,[status(thm)],[30433, 30431])).
% 80.40/52.71 tff(30435,plain,
% 80.40/52.71 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s10) | (~node3(c_e_h_3, c_e_h_1, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30436,plain,
% 80.40/52.71 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | (~node3(c_e_h_3, c_e_h_1, s10)) | m_cell_v_ack(c_e_h_1, s10)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30435, 30434])).
% 80.40/52.71 tff(30437,plain,
% 80.40/52.71 ((~m_and_h_gate_v_out(c_e_h_3, c_q, s10)) | m_cell_v_ack(c_e_h_1, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30436, 14187, 8608])).
% 80.40/52.71 tff(30438,plain,
% 80.40/52.71 (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30437, 30430])).
% 80.40/52.71 tff(30439,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[9192, 437, 30438, 30412, 30410])).
% 80.40/52.71 tff(30440,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s11) | node20(c_e_h_3, c_q, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | node20(c_e_h_1, c_l, s10) | (~node5(c_e_h_1, c_j, s10, s11))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30441,plain,
% 80.40/52.71 (~node5(c_e_h_1, c_j, s10, s11)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30440, 8826, 9176, 30308, 30307])).
% 80.40/52.71 tff(30442,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30443,plain,
% 80.40/52.71 ((m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30444,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11))))),
% 80.40/52.71 inference(monotonicity,[status(thm)],[30443])).
% 80.40/52.71 tff(30445,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11)))),
% 80.40/52.71 inference(transitivity,[status(thm)],[30444, 30442])).
% 80.40/52.71 tff(30446,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~node6(c_e_h_1, c_j, s10, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30447,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | (~node6(c_e_h_1, c_j, s10, s11))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 80.40/52.71 tff(30448,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30447, 6691, 8797, 8826, 6021])).
% 80.40/52.71 tff(30449,plain,((~node6(c_e_h_1, c_j, s10, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30450,plain,
% 80.40/52.71 (~node6(c_e_h_1, c_j, s10, s11)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30449, 8826, 6021])).
% 80.40/52.71 tff(30451,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[8813, 30450, 30441])).
% 80.40/52.71 tff(30452,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | node20(c_e_h_3, c_q, s10) | node20(c_e_h_1, c_l, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30453,plain,
% 80.40/52.71 (node20(c_e_h_3, c_q, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30452, 30306, 30082, 29025, 30075])).
% 80.40/52.71 tff(30454,plain,
% 80.40/52.71 (m_and_h_gate_v_in2(c_e_h_3, c_q, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[9173, 334, 30453])).
% 80.40/52.71 tff(30455,plain,
% 80.40/52.71 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[9169, 320, 30454])).
% 80.40/52.71 tff(30456,plain,
% 80.40/52.71 (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[28932, 29811])).
% 80.40/52.71 tff(30457,plain,
% 80.40/52.71 (~m_cell_v_ack(c_e_h_3, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[28941, 30456])).
% 80.40/52.71 tff(30458,plain,
% 80.40/52.71 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[28945, 1820, 30457])).
% 80.40/52.71 tff(30459,plain,
% 80.40/52.71 (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[29912, 29814])).
% 80.40/52.71 tff(30460,plain,
% 80.40/52.71 (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[29920, 30459])).
% 80.40/52.71 tff(30461,plain,
% 80.40/52.71 (~m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30018, 30460])).
% 80.40/52.71 tff(30462,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.40/52.71 tff(30463,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)), introduced(assumption)).
% 80.40/52.71 tff(30464,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)), introduced(assumption)).
% 80.40/52.71 tff(30465,plain,
% 80.40/52.71 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30026, 30021])).
% 80.40/52.71 tff(30466,plain,
% 80.40/52.71 (~node20(c_e_h_3, c_i, s4)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30034, 30465])).
% 80.40/52.71 tff(30467,assumption,(~m_c_h_element_v_out(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.40/52.71 tff(30468,plain,
% 80.40/52.71 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30058, 30036])).
% 80.40/52.71 tff(30469,plain,
% 80.40/52.71 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30066, 30468])).
% 80.40/52.71 tff(30470,plain,
% 80.40/52.71 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3520, 30469])).
% 80.40/52.71 tff(30471,plain,
% 80.40/52.71 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30472,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30473,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 80.40/52.71 tff(30474,plain,
% 80.40/52.71 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30473, 8, 30467])).
% 80.40/52.71 tff(30475,plain,
% 80.40/52.71 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s5))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30476,plain,
% 80.40/52.71 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s5))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30477,plain,
% 80.40/52.71 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 80.40/52.71 tff(30478,plain,
% 80.40/52.71 (~node20(c_e_h_3, c_i, s5)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30477, 22, 30474])).
% 80.40/52.71 tff(30479,assumption,(~node20(c_e_h_3, c_i, s5)), introduced(assumption)).
% 80.40/52.71 tff(30480,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s6)), introduced(assumption)).
% 80.40/52.71 tff(30481,assumption,(node22(c_e_h_3, c_i, s5, s6)), introduced(assumption)).
% 80.40/52.71 tff(30482,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node22(c_e_h_3, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node22(c_e_h_3, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30483,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node22(c_e_h_3, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30484,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node22(c_e_h_3, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 80.40/52.71 tff(30485,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30484, 437, 30061, 30480, 30481])).
% 80.40/52.71 tff(30486,plain,((~node22(c_e_h_3, c_i, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30487,plain,
% 80.40/52.71 (~node22(c_e_h_3, c_i, s5, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30486, 30480, 30061])).
% 80.40/52.71 tff(30488,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_i, s5, s6) | node22(c_e_h_3, c_i, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_i, s5, s6) | node22(c_e_h_3, c_i, s5, s6))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30489,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_i, s5, s6) | node22(c_e_h_3, c_i, s5, s6))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30490,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_i, s5, s6) | node22(c_e_h_3, c_i, s5, s6)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 80.40/52.71 tff(30491,plain,
% 80.40/52.71 (node21(c_e_h_3, c_i, s5, s6) | node22(c_e_h_3, c_i, s5, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30490, 383, 1343])).
% 80.40/52.71 tff(30492,plain,
% 80.40/52.71 (node21(c_e_h_3, c_i, s5, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30491, 30487])).
% 80.40/52.71 tff(30493,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node21(c_e_h_3, c_i, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node21(c_e_h_3, c_i, s5, s6)))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30494,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node21(c_e_h_3, c_i, s5, s6)))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30495,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | (~node21(c_e_h_3, c_i, s5, s6))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 80.40/52.71 tff(30496,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30495, 348, 30480, 30492, 30479])).
% 80.40/52.71 tff(30497,plain,((~m_and_h_gate_v_out(c_e_h_3, c_i, s6)) | node20(c_e_h_3, c_i, s5) | m_and_h_gate_v_out(c_e_h_3, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30498,plain,
% 80.40/52.71 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30497, 30478, 30468])).
% 80.40/52.71 tff(30499,assumption,(~node20(c_e_h_3, c_i, s6)), introduced(assumption)).
% 80.40/52.71 tff(30500,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s6)), introduced(assumption)).
% 80.40/52.71 tff(30501,assumption,(m_and_h_gate_v_out(c_e_h_3, c_i, s7)), introduced(assumption)).
% 80.40/52.71 tff(30502,assumption,(node22(c_e_h_3, c_i, s6, s7)), introduced(assumption)).
% 80.40/52.71 tff(30503,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node22(c_e_h_3, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node22(c_e_h_3, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30504,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node22(c_e_h_3, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30505,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node22(c_e_h_3, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30504, 30503])).
% 80.40/52.71 tff(30506,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30505, 437, 30500, 30501, 30502])).
% 80.40/52.71 tff(30507,plain,((~node22(c_e_h_3, c_i, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7))), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30508,plain,
% 80.40/52.71 (~node22(c_e_h_3, c_i, s6, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30507, 30501, 30500])).
% 80.40/52.71 tff(30509,assumption,(node21(c_e_h_3, c_i, s6, s7)), introduced(assumption)).
% 80.40/52.71 tff(30510,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node21(c_e_h_3, c_i, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node21(c_e_h_3, c_i, s6, s7)))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30511,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node21(c_e_h_3, c_i, s6, s7)))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30512,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_i, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | (~node21(c_e_h_3, c_i, s6, s7))),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 80.40/52.71 tff(30513,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30512, 348, 30501, 30509, 30499])).
% 80.40/52.71 tff(30514,plain,((~node21(c_e_h_3, c_i, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | node20(c_e_h_3, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30515,plain,
% 80.40/52.71 (~node21(c_e_h_3, c_i, s6, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30514, 30501, 30499])).
% 80.40/52.71 tff(30516,plain,
% 80.40/52.71 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_i, s6, s7) | node22(c_e_h_3, c_i, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_i, s6, s7) | node22(c_e_h_3, c_i, s6, s7))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30517,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_3, c_i, s6, s7) | node22(c_e_h_3, c_i, s6, s7))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30518,plain,
% 80.40/52.71 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_3, c_i, s6, s7) | node22(c_e_h_3, c_i, s6, s7)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30517, 30516])).
% 80.40/52.71 tff(30519,plain,
% 80.40/52.71 (node21(c_e_h_3, c_i, s6, s7) | node22(c_e_h_3, c_i, s6, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30518, 383, 1685])).
% 80.40/52.71 tff(30520,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30519, 30515, 30508])).
% 80.40/52.71 tff(30521,plain,((~m_and_h_gate_v_out(c_e_h_3, c_i, s7)) | node20(c_e_h_3, c_i, s6) | m_and_h_gate_v_out(c_e_h_3, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30522,plain,
% 80.40/52.71 (~m_and_h_gate_v_out(c_e_h_3, c_i, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30521, 30500, 30499])).
% 80.40/52.71 tff(30523,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s6)), introduced(assumption)).
% 80.40/52.71 tff(30524,plain,
% 80.40/52.71 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))),
% 80.40/52.71 inference(rewrite,[status(thm)],[])).
% 80.40/52.71 tff(30525,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6))),
% 80.40/52.71 inference(quant_inst,[status(thm)],[])).
% 80.40/52.71 tff(30526,plain,
% 80.40/52.71 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.40/52.71 inference(modus_ponens,[status(thm)],[30525, 30524])).
% 80.40/52.71 tff(30527,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30526, 527, 30500, 30523])).
% 80.40/52.71 tff(30528,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_v_out(c_e_h_3, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30529,plain,
% 80.40/52.71 (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30528, 30500])).
% 80.40/52.71 tff(30530,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s6)), introduced(assumption)).
% 80.40/52.71 tff(30531,plain,
% 80.40/52.71 (~node18(c_e_h_3, c_f, s6, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3551, 3541, 3542])).
% 80.40/52.71 tff(30532,plain,
% 80.40/52.71 (node17(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3563, 30531])).
% 80.40/52.71 tff(30533,plain,
% 80.40/52.71 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3626, 3617, 3541])).
% 80.40/52.71 tff(30534,plain,
% 80.40/52.71 ((~node17(c_e_h_3, c_f, s6)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3603, 541, 30530])).
% 80.40/52.71 tff(30535,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30534, 30533, 30532])).
% 80.40/52.71 tff(30536,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | m_c_h_element_v_out(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30537,plain,
% 80.40/52.71 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30536, 3542, 30530])).
% 80.40/52.71 tff(30538,plain,
% 80.40/52.71 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[8406, 3542])).
% 80.40/52.71 tff(30539,plain,
% 80.40/52.71 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[8539, 30538, 1257, 8486, 1573, 2352])).
% 80.40/52.71 tff(30540,plain,
% 80.40/52.71 ($false),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[8483, 30539, 30537])).
% 80.40/52.71 tff(30541,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 80.40/52.71 tff(30542,plain,
% 80.40/52.71 (m_c_h_element_v_out(c_e_h_3, c_f, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30541, 2349, 1239])).
% 80.40/52.71 tff(30543,plain,
% 80.40/52.71 (m_c_h_element_v_out(c_e_h_3, c_f, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30542, 2348])).
% 80.40/52.71 tff(30544,plain,
% 80.40/52.71 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[30543, 3542, 30530])).
% 80.40/52.71 tff(30545,plain,
% 80.40/52.71 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[8478, 30538])).
% 80.40/52.71 tff(30546,plain,
% 80.40/52.71 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_m, s8)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[9094, 30545])).
% 80.40/52.71 tff(30547,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s7)), introduced(assumption)).
% 80.40/52.71 tff(30548,plain,
% 80.40/52.71 (m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.40/52.71 inference(unit_resolution,[status(thm)],[3687, 3632, 3630])).
% 80.46/52.72 tff(30549,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30550,plain,
% 80.46/52.72 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | (~node17(c_e_h_3, c_f, s7))) <=> ((~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30551,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | (~node17(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7)))),
% 80.46/52.72 inference(monotonicity,[status(thm)],[30550])).
% 80.46/52.72 tff(30552,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | (~node17(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7))),
% 80.46/52.72 inference(transitivity,[status(thm)],[30551, 30549])).
% 80.46/52.72 tff(30553,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | (~node17(c_e_h_3, c_f, s7)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30554,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 80.46/52.72 tff(30555,plain,
% 80.46/52.72 ((~node17(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7))),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30554, 541, 30547])).
% 80.46/52.72 tff(30556,plain,
% 80.46/52.72 (~node17(c_e_h_3, c_f, s7)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30555, 30548])).
% 80.46/52.72 tff(30557,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[3657, 30556, 3646])).
% 80.46/52.72 tff(30558,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30559,plain,
% 80.46/52.72 (~m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30558, 30537, 30547])).
% 80.46/52.72 tff(30560,plain,
% 80.46/52.72 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[9100, 30559])).
% 80.46/52.72 tff(30561,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[9127, 30560, 30546, 9088, 30544])).
% 80.46/52.72 tff(30562,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_c_h_element_v_in2(c_e_h_3, c_f, s7) | m_c_h_element_v_in2(c_e_h_3, c_f, s6)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30563,plain,
% 80.46/52.72 (m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30562, 30529, 9088, 3542])).
% 80.46/52.72 tff(30564,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s7)), introduced(assumption)).
% 80.46/52.72 tff(30565,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s7)), introduced(assumption)).
% 80.46/52.72 tff(30566,plain,
% 80.46/52.72 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s7))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s7))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30567,plain,
% 80.46/52.72 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s7))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30568,plain,
% 80.46/52.72 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s7)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30567, 30566])).
% 80.46/52.72 tff(30569,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30568, 527, 30565, 30564])).
% 80.46/52.72 tff(30570,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | m_and_h_gate_v_out(c_e_h_3, c_i, s7)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30571,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30570, 30563, 30522])).
% 80.46/52.72 tff(30572,plain,(m_and_h_gate_v_out(c_e_h_3, c_i, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | node20(c_e_h_3, c_i, s6)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30573,plain,
% 80.46/52.72 (node20(c_e_h_3, c_i, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30572, 30498, 9088, 30470])).
% 80.46/52.72 tff(30574,plain,
% 80.46/52.72 (m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[25, 22, 30573])).
% 80.46/52.72 tff(30575,plain,
% 80.46/52.72 (m_c_h_element_v_out(c_e_h_3, c_h, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[11, 8, 30574])).
% 80.46/52.72 tff(30576,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s6)), introduced(assumption)).
% 80.46/52.72 tff(30577,assumption,(node18(c_e_h_3, c_h, s5, s6)), introduced(assumption)).
% 80.46/52.72 tff(30578,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30579,plain,
% 80.46/52.72 (((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~node18(c_e_h_3, c_h, s5, s6))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30580,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~node18(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6))))),
% 80.46/52.72 inference(monotonicity,[status(thm)],[30579])).
% 80.46/52.72 tff(30581,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~node18(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(transitivity,[status(thm)],[30580, 30578])).
% 80.46/52.72 tff(30582,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~node18(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30583,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node18(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 80.46/52.72 tff(30584,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30583, 481, 30467, 30576, 30577])).
% 80.46/52.72 tff(30585,plain,((~node18(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30586,plain,
% 80.46/52.72 (~node18(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30585, 30467, 30576])).
% 80.46/52.72 tff(30587,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_3, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30588,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s5, s6)) | node19(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30589,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s5, s6)) | node19(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 80.46/52.72 tff(30590,plain,
% 80.46/52.72 (node19(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30589, 494, 1343])).
% 80.46/52.72 tff(30591,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30592,plain,
% 80.46/52.72 ((node17(c_e_h_3, c_h, s5) | node18(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6))) <=> (node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30593,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s5) | node18(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(monotonicity,[status(thm)],[30592])).
% 80.46/52.72 tff(30594,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s5) | node18(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6))),
% 80.46/52.72 inference(transitivity,[status(thm)],[30593, 30591])).
% 80.46/52.72 tff(30595,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s5) | node18(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30596,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s5) | (~node19(c_e_h_3, c_h, s5, s6)) | node18(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30595, 30594])).
% 80.46/52.72 tff(30597,plain,
% 80.46/52.72 (node17(c_e_h_3, c_h, s5) | node18(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30596, 508, 30590])).
% 80.46/52.72 tff(30598,plain,
% 80.46/52.72 (node17(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30597, 30586])).
% 80.46/52.72 tff(30599,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.46/52.72 tff(30600,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5) | (~node17(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5) | (~node17(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30601,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5) | (~node17(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30602,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5) | (~node17(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30601, 30600])).
% 80.46/52.72 tff(30603,plain,
% 80.46/52.72 ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30602, 541, 30599])).
% 80.46/52.72 tff(30604,plain,
% 80.46/52.72 (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30603, 30598])).
% 80.46/52.72 tff(30605,assumption,(node15(c_e_h_3, c_h, s5, s6)), introduced(assumption)).
% 80.46/52.72 tff(30606,plain,
% 80.46/52.72 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node15(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node15(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30607,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node15(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30608,plain,
% 80.46/52.72 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node15(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 80.46/52.72 tff(30609,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30608, 612, 30467, 30576, 30605])).
% 80.46/52.72 tff(30610,plain,((~node15(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30611,plain,
% 80.46/52.72 (~node15(c_e_h_3, c_h, s5, s6)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30610, 30467, 30576])).
% 80.46/52.72 tff(30612,assumption,(node17(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.46/52.72 tff(30613,assumption,(node16(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.46/52.72 tff(30614,assumption,(m_c_h_element_v_in2(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.46/52.72 tff(30615,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30616,plain,
% 80.46/52.72 ((m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30617,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(monotonicity,[status(thm)],[30616])).
% 80.46/52.72 tff(30618,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(transitivity,[status(thm)],[30617, 30615])).
% 80.46/52.72 tff(30619,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30620,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 80.46/52.72 tff(30621,plain,
% 80.46/52.72 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30620, 1172, 30612])).
% 80.46/52.72 tff(30622,plain,
% 80.46/52.72 (m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30621, 30614])).
% 80.46/52.72 tff(30623,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30624,plain,
% 80.46/52.72 (((~node16(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(rewrite,[status(thm)],[])).
% 80.46/52.72 tff(30625,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5))))),
% 80.46/52.72 inference(monotonicity,[status(thm)],[30624])).
% 80.46/52.72 tff(30626,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(transitivity,[status(thm)],[30625, 30623])).
% 80.46/52.72 tff(30627,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)))),
% 80.46/52.72 inference(quant_inst,[status(thm)],[])).
% 80.46/52.72 tff(30628,plain,
% 80.46/52.72 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(modus_ponens,[status(thm)],[30627, 30626])).
% 80.46/52.72 tff(30629,plain,
% 80.46/52.72 ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5))),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30628, 1192, 30613])).
% 80.46/52.72 tff(30630,plain,
% 80.46/52.72 ($false),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30629, 30622, 30614])).
% 80.46/52.72 tff(30631,plain,((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node16(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.72 tff(30632,plain,
% 80.46/52.72 (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30631, 30613, 30612])).
% 80.46/52.72 tff(30633,plain,
% 80.46/52.72 ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30602, 541, 30612])).
% 80.46/52.72 tff(30634,plain,
% 80.46/52.72 (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.46/52.72 inference(unit_resolution,[status(thm)],[30633, 30632])).
% 80.46/52.72 tff(30635,plain,
% 80.46/52.72 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | m_c_h_element_v_in2(c_e_h_3, c_h, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | m_c_h_element_v_in2(c_e_h_3, c_h, s5))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30636,plain,
% 80.46/52.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | m_c_h_element_v_in2(c_e_h_3, c_h, s5))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30637,plain,
% 80.46/52.73 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30636, 30635])).
% 80.46/52.73 tff(30638,plain,
% 80.46/52.73 (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30637, 559, 30613])).
% 80.46/52.73 tff(30639,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30638, 30634, 30632])).
% 80.46/52.73 tff(30640,plain,((~node16(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30641,plain,
% 80.46/52.73 (~node16(c_e_h_3, c_h, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30640, 30598])).
% 80.46/52.73 tff(30642,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30643,plain,
% 80.46/52.73 ((node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | node15(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6))) <=> (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30644,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | node15(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.73 inference(monotonicity,[status(thm)],[30643])).
% 80.46/52.73 tff(30645,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | node15(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6))),
% 80.46/52.73 inference(transitivity,[status(thm)],[30644, 30642])).
% 80.46/52.73 tff(30646,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | node15(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30647,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | (~node19(c_e_h_3, c_h, s5, s6)) | node15(c_e_h_3, c_h, s5, s6)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30646, 30645])).
% 80.46/52.73 tff(30648,plain,
% 80.46/52.73 (node16(c_e_h_3, c_h, s5) | node14(c_e_h_3, c_h, s5, s6) | node15(c_e_h_3, c_h, s5, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30647, 594, 30590])).
% 80.46/52.73 tff(30649,plain,
% 80.46/52.73 (node14(c_e_h_3, c_h, s5, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30648, 30641, 30611])).
% 80.46/52.73 tff(30650,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.46/52.73 tff(30651,assumption,(node14(c_e_h_3, c_h, s5, s6)), introduced(assumption)).
% 80.46/52.73 tff(30652,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30653,plain,
% 80.46/52.73 (((~node14(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6))) <=> (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30654,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6))))),
% 80.46/52.73 inference(monotonicity,[status(thm)],[30653])).
% 80.46/52.73 tff(30655,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6)))),
% 80.46/52.73 inference(transitivity,[status(thm)],[30654, 30652])).
% 80.46/52.73 tff(30656,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s5, s6)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30657,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | (~node14(c_e_h_3, c_h, s5, s6))),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 80.46/52.73 tff(30658,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30657, 575, 30576, 30651, 30650])).
% 80.46/52.73 tff(30659,plain,((~node14(c_e_h_3, c_h, s5, s6)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_in1(c_e_h_3, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30660,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30659, 30649, 30604, 30576])).
% 80.46/52.73 tff(30661,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6)) | m_c_h_element_v_in2(c_e_h_3, c_h, s5)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30662,plain,
% 80.46/52.73 (m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30661, 30575, 30467])).
% 80.46/52.73 tff(30663,plain,
% 80.46/52.73 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30664,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30665,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 80.46/52.73 tff(30666,plain,
% 80.46/52.73 (m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30665, 1740, 30662])).
% 80.46/52.73 tff(30667,plain,
% 80.46/52.73 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[8406, 30470])).
% 80.46/52.73 tff(30668,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_i, s2)), introduced(assumption)).
% 80.46/52.73 tff(30669,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s2)), introduced(assumption)).
% 80.46/52.73 tff(30670,plain,
% 80.46/52.73 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30671,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30672,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30671, 30670])).
% 80.46/52.73 tff(30673,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30672, 527, 30669, 30668])).
% 80.46/52.73 tff(30674,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s2)) | m_and_h_gate_v_out(c_e_h_3, c_i, s2)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30675,plain,
% 80.46/52.73 (~m_c_h_element_v_in2(c_e_h_3, c_f, s2)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30674, 30668])).
% 80.46/52.73 tff(30676,plain,
% 80.46/52.73 (node14(c_e_h_3, c_f, s2, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1220, 1136, 1134])).
% 80.46/52.73 tff(30677,plain,
% 80.46/52.73 (m_c_h_element_v_in1(c_e_h_3, c_f, s2)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1231, 30676, 1134])).
% 80.46/52.73 tff(30678,assumption,(node18(c_e_h_3, c_f, s2, s3)), introduced(assumption)).
% 80.46/52.73 tff(30679,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1218, 481, 1134, 1136, 30678])).
% 80.46/52.73 tff(30680,plain,((~node18(c_e_h_3, c_f, s2, s3)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3)) | m_c_h_element_v_out(c_e_h_3, c_f, s2)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30681,plain,
% 80.46/52.73 (~node18(c_e_h_3, c_f, s2, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30680, 1136, 1134])).
% 80.46/52.73 tff(30682,plain,
% 80.46/52.73 (node17(c_e_h_3, c_f, s2)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1211, 30681])).
% 80.46/52.73 tff(30683,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s2)), introduced(assumption)).
% 80.46/52.73 tff(30684,plain,
% 80.46/52.73 ((~node17(c_e_h_3, c_f, s2)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s2))),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1203, 541, 30683])).
% 80.46/52.73 tff(30685,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30684, 30682, 30677])).
% 80.46/52.73 tff(30686,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s2) | m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30687,plain,
% 80.46/52.73 (m_c_h_element_v_in2(c_e_h_3, c_f, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s3))),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30686, 822])).
% 80.46/52.73 tff(30688,plain,
% 80.46/52.73 (~m_c_h_element_v_out(c_e_h_3, c_f, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30687, 30675])).
% 80.46/52.73 tff(30689,plain,
% 80.46/52.73 (~m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[2249, 2235])).
% 80.46/52.73 tff(30690,plain,
% 80.46/52.73 (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[2257, 30689])).
% 80.46/52.73 tff(30691,plain,
% 80.46/52.73 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30057, 30689, 30036])).
% 80.46/52.73 tff(30692,plain,
% 80.46/52.73 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30066, 30691])).
% 80.46/52.73 tff(30693,plain,
% 80.46/52.73 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30497, 30691, 30479])).
% 80.46/52.73 tff(30694,plain,
% 80.46/52.73 (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30528, 30693])).
% 80.46/52.73 tff(30695,plain,
% 80.46/52.73 (m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30536, 30694, 3541])).
% 80.46/52.73 tff(30696,plain,
% 80.46/52.73 (m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3519, 30695, 30692])).
% 80.46/52.73 tff(30697,plain,
% 80.46/52.73 (m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[2341, 30696, 30690])).
% 80.46/52.73 tff(30698,plain,
% 80.46/52.73 (m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1564, 30697, 1480])).
% 80.46/52.73 tff(30699,plain,
% 80.46/52.73 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30700,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30701,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30700, 30699])).
% 80.46/52.73 tff(30702,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30701, 527, 30698, 2235])).
% 80.46/52.73 tff(30703,plain,(m_and_h_gate_v_out(c_e_h_3, c_i, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | node20(c_e_h_3, c_i, s5) | node20(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30704,plain,
% 80.46/52.73 (m_and_h_gate_v_out(c_e_h_3, c_i, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30703, 30688, 3541, 30479, 30036])).
% 80.46/52.73 tff(30705,plain,
% 80.46/52.73 (~node21(c_e_h_3, c_i, s2, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1980, 30704])).
% 80.46/52.73 tff(30706,plain,
% 80.46/52.73 (node22(c_e_h_3, c_i, s2, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[1985, 30705])).
% 80.46/52.73 tff(30707,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[2018, 437, 30704, 30668, 30706])).
% 80.46/52.73 tff(30708,plain,(m_and_h_gate_v_out(c_e_h_3, c_i, s2) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | node20(c_e_h_3, c_i, s5) | node20(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30709,plain,
% 80.46/52.73 ((~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | node20(c_e_h_3, c_i, s5) | node20(c_e_h_3, c_i, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30708, 2015])).
% 80.46/52.73 tff(30710,plain,
% 80.46/52.73 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30709, 30478, 30036])).
% 80.46/52.73 tff(30711,plain,
% 80.46/52.73 (m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[9163, 30710, 9064, 30667])).
% 80.46/52.73 tff(30712,plain,
% 80.46/52.73 (m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3423, 30711])).
% 80.46/52.73 tff(30713,plain,
% 80.46/52.73 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3159, 3124])).
% 80.46/52.73 tff(30714,plain,
% 80.46/52.73 (~node20(c_e_h_3, c_d, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3167, 30713])).
% 80.46/52.73 tff(30715,plain,
% 80.46/52.73 (~m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3191, 30714])).
% 80.46/52.73 tff(30716,assumption,(m_or_h_gate_v_in2(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.46/52.73 tff(30717,plain,
% 80.46/52.73 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30718,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30719,plain,
% 80.46/52.73 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30718, 30717])).
% 80.46/52.73 tff(30720,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30719, 2501, 3211, 30716])).
% 80.46/52.73 tff(30721,plain,((~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_d, s4)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30722,plain,
% 80.46/52.73 (~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30721, 30715])).
% 80.46/52.73 tff(30723,plain,
% 80.46/52.73 (~node20(c_e_h_3, c_d, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3340, 22, 30464])).
% 80.46/52.73 tff(30724,plain,
% 80.46/52.73 (~node21(c_e_h_3, c_d, s6, s7)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3336, 30723, 3233])).
% 80.46/52.73 tff(30725,plain,
% 80.46/52.73 (node22(c_e_h_3, c_d, s6, s7)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3328, 30724])).
% 80.46/52.73 tff(30726,plain,
% 80.46/52.73 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[3323, 30725, 3233])).
% 80.46/52.73 tff(30727,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s3)), introduced(assumption)).
% 80.46/52.73 tff(30728,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)), introduced(assumption)).
% 80.46/52.73 tff(30729,assumption,(node12(c_e_h_3, c_a, s2, s3)), introduced(assumption)).
% 80.46/52.73 tff(30730,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30731,plain,
% 80.46/52.73 (((~node12(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30732,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3))))),
% 80.46/52.73 inference(monotonicity,[status(thm)],[30731])).
% 80.46/52.73 tff(30733,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.46/52.73 inference(transitivity,[status(thm)],[30732, 30730])).
% 80.46/52.73 tff(30734,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.73 tff(30735,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~node12(c_e_h_3, c_a, s2, s3))),
% 80.46/52.73 inference(modus_ponens,[status(thm)],[30734, 30733])).
% 80.46/52.73 tff(30736,plain,
% 80.46/52.73 ($false),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30735, 1082, 30729, 30727, 30728])).
% 80.46/52.73 tff(30737,plain,((~node12(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.73 tff(30738,plain,
% 80.46/52.73 (~node12(c_e_h_3, c_a, s2, s3)),
% 80.46/52.73 inference(unit_resolution,[status(thm)],[30737, 30728, 30727])).
% 80.46/52.73 tff(30739,plain,
% 80.46/52.73 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_3, c_a, s2, s3) | node13(c_e_h_3, c_a, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_3, c_a, s2, s3) | node13(c_e_h_3, c_a, s2, s3))),
% 80.46/52.73 inference(rewrite,[status(thm)],[])).
% 80.46/52.73 tff(30740,plain,
% 80.46/52.73 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s2, s3)) | node12(c_e_h_3, c_a, s2, s3) | node13(c_e_h_3, c_a, s2, s3))),
% 80.46/52.73 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30741,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s2, s3)) | node12(c_e_h_3, c_a, s2, s3) | node13(c_e_h_3, c_a, s2, s3)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30740, 30739])).
% 80.46/52.74 tff(30742,plain,
% 80.46/52.74 (node12(c_e_h_3, c_a, s2, s3) | node13(c_e_h_3, c_a, s2, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30741, 1020, 463])).
% 80.46/52.74 tff(30743,plain,
% 80.46/52.74 (node13(c_e_h_3, c_a, s2, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30742, 30738])).
% 80.46/52.74 tff(30744,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)), introduced(assumption)).
% 80.46/52.74 tff(30745,assumption,(node13(c_e_h_3, c_a, s2, s3)), introduced(assumption)).
% 80.46/52.74 tff(30746,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | (~node13(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | (~node13(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30747,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | (~node13(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30748,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | (~node13(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30747, 30746])).
% 80.46/52.74 tff(30749,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30748, 1004, 30745, 30727, 30744])).
% 80.46/52.74 tff(30750,plain,((~node13(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30751,plain,
% 80.46/52.74 (m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30750, 30743, 30727])).
% 80.46/52.74 tff(30752,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s2)), introduced(assumption)).
% 80.46/52.74 tff(30753,assumption,(node13(c_e_h_3, c_a, s1, s2)), introduced(assumption)).
% 80.46/52.74 tff(30754,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30755,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30756,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s1)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30755, 30754])).
% 80.46/52.74 tff(30757,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30756, 1004, 30753, 30752, 16627])).
% 80.46/52.74 tff(30758,plain,((~node13(c_e_h_3, c_a, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30759,plain,
% 80.46/52.74 (~node13(c_e_h_3, c_a, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30758, 30751])).
% 80.46/52.74 tff(30760,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_3, c_a, s1, s2) | node13(c_e_h_3, c_a, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_3, c_a, s1, s2) | node13(c_e_h_3, c_a, s1, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30761,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s1, s2)) | node12(c_e_h_3, c_a, s1, s2) | node13(c_e_h_3, c_a, s1, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30762,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s1, s2)) | node12(c_e_h_3, c_a, s1, s2) | node13(c_e_h_3, c_a, s1, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 80.46/52.74 tff(30763,plain,
% 80.46/52.74 (node12(c_e_h_3, c_a, s1, s2) | node13(c_e_h_3, c_a, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30762, 1020, 265])).
% 80.46/52.74 tff(30764,plain,
% 80.46/52.74 (node12(c_e_h_3, c_a, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30763, 30759])).
% 80.46/52.74 tff(30765,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)), introduced(assumption)).
% 80.46/52.74 tff(30766,assumption,(node12(c_e_h_3, c_a, s1, s2)), introduced(assumption)).
% 80.46/52.74 tff(30767,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2)))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30768,plain,
% 80.46/52.74 (((~node12(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2)))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30769,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2))))),
% 80.46/52.74 inference(monotonicity,[status(thm)],[30768])).
% 80.46/52.74 tff(30770,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2)))),
% 80.46/52.74 inference(transitivity,[status(thm)],[30769, 30767])).
% 80.46/52.74 tff(30771,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s1, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30772,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s1, s2))),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 80.46/52.74 tff(30773,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30772, 1082, 30766, 30752, 30765])).
% 80.46/52.74 tff(30774,plain,((~node12(c_e_h_3, c_a, s1, s2)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30775,plain,
% 80.46/52.74 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30774, 30764, 30751])).
% 80.46/52.74 tff(30776,plain,
% 80.46/52.74 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)) | m_user_v_req(c_e_h_3, c_u, s1))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)) | m_user_v_req(c_e_h_3, c_u, s1))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30777,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)) | m_user_v_req(c_e_h_3, c_u, s1))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30778,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)) | m_user_v_req(c_e_h_3, c_u, s1)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 80.46/52.74 tff(30779,plain,
% 80.46/52.74 (m_user_v_req(c_e_h_3, c_u, s1)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30778, 2765, 30775])).
% 80.46/52.74 tff(30780,assumption,(~m_user_v_req(c_e_h_3, c_u, s2)), introduced(assumption)).
% 80.46/52.74 tff(30781,assumption,(m_user_v_req(c_e_h_3, c_u, s1)), introduced(assumption)).
% 80.46/52.74 tff(30782,assumption,(node7(c_e_h_3, c_u, s1, s2)), introduced(assumption)).
% 80.46/52.74 tff(30783,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s1, s2)) | m_user_v_ack(c_e_h_3, c_u, s1) | m_user_v_req(c_e_h_3, c_u, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s1, s2)) | m_user_v_ack(c_e_h_3, c_u, s1) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30784,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s1, s2)) | m_user_v_ack(c_e_h_3, c_u, s1) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30785,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s1, s2)) | m_user_v_ack(c_e_h_3, c_u, s1) | m_user_v_req(c_e_h_3, c_u, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30784, 30783])).
% 80.46/52.74 tff(30786,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30785, 7383, 17156, 30782, 30780])).
% 80.46/52.74 tff(30787,plain,((~node7(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30788,plain,
% 80.46/52.74 (~node7(c_e_h_3, c_u, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30787, 30780])).
% 80.46/52.74 tff(30789,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_3, c_u, s1, s2) | node8(c_e_h_3, c_u, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_3, c_u, s1, s2) | node8(c_e_h_3, c_u, s1, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30790,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s1, s2)) | node7(c_e_h_3, c_u, s1, s2) | node8(c_e_h_3, c_u, s1, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30791,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s1, s2)) | node7(c_e_h_3, c_u, s1, s2) | node8(c_e_h_3, c_u, s1, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30790, 30789])).
% 80.46/52.74 tff(30792,plain,
% 80.46/52.74 (node7(c_e_h_3, c_u, s1, s2) | node8(c_e_h_3, c_u, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30791, 7421, 265])).
% 80.46/52.74 tff(30793,plain,
% 80.46/52.74 (node8(c_e_h_3, c_u, s1, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30792, 30788])).
% 80.46/52.74 tff(30794,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30795,plain,
% 80.46/52.74 ((m_user_v_req(c_e_h_3, c_u, s2) | (~node8(c_e_h_3, c_u, s1, s2)) | (~m_user_v_req(c_e_h_3, c_u, s1))) <=> ((~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30796,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s2) | (~node8(c_e_h_3, c_u, s1, s2)) | (~m_user_v_req(c_e_h_3, c_u, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2)))),
% 80.46/52.74 inference(monotonicity,[status(thm)],[30795])).
% 80.46/52.74 tff(30797,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s2) | (~node8(c_e_h_3, c_u, s1, s2)) | (~m_user_v_req(c_e_h_3, c_u, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(transitivity,[status(thm)],[30796, 30794])).
% 80.46/52.74 tff(30798,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s2) | (~node8(c_e_h_3, c_u, s1, s2)) | (~m_user_v_req(c_e_h_3, c_u, s1)))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30799,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s1)) | (~node8(c_e_h_3, c_u, s1, s2)) | m_user_v_req(c_e_h_3, c_u, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30798, 30797])).
% 80.46/52.74 tff(30800,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30799, 7402, 30793, 30781, 30780])).
% 80.46/52.74 tff(30801,plain,(m_user_v_req(c_e_h_3, c_u, s2) | (~m_user_v_req(c_e_h_3, c_u, s1))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30802,plain,
% 80.46/52.74 (m_user_v_req(c_e_h_3, c_u, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30801, 30779])).
% 80.46/52.74 tff(30803,plain,
% 80.46/52.74 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30804,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30805,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s2)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30804, 30803])).
% 80.46/52.74 tff(30806,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30805, 7318, 30802, 30728])).
% 80.46/52.74 tff(30807,plain,(m_mutex_h_half_v_inp(c_e_h_3, c_a, s2) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30808,plain,
% 80.46/52.74 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30807, 30727])).
% 80.46/52.74 tff(30809,assumption,(m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)), introduced(assumption)).
% 80.46/52.74 tff(30810,plain,
% 80.46/52.74 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_user_v_req(c_e_h_3, c_u, s2))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30811,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_user_v_req(c_e_h_3, c_u, s2))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30812,plain,
% 80.46/52.74 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_user_v_req(c_e_h_3, c_u, s2)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30811, 30810])).
% 80.46/52.74 tff(30813,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30812, 2765, 30780, 30809])).
% 80.46/52.74 tff(30814,plain,(m_user_v_req(c_e_h_3, c_u, s2) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30815,plain,
% 80.46/52.74 (m_user_v_req(c_e_h_3, c_u, s2)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30814, 30808])).
% 80.46/52.74 tff(30816,assumption,(~m_user_v_req(c_e_h_3, c_u, s3)), introduced(assumption)).
% 80.46/52.74 tff(30817,assumption,(node7(c_e_h_3, c_u, s2, s3)), introduced(assumption)).
% 80.46/52.74 tff(30818,assumption,(~m_user_v_ack(c_e_h_3, c_u, s2)), introduced(assumption)).
% 80.46/52.74 tff(30819,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_ack(c_e_h_3, c_u, s2) | m_user_v_req(c_e_h_3, c_u, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_ack(c_e_h_3, c_u, s2) | m_user_v_req(c_e_h_3, c_u, s3))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30820,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_ack(c_e_h_3, c_u, s2) | m_user_v_req(c_e_h_3, c_u, s3))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30821,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_ack(c_e_h_3, c_u, s2) | m_user_v_req(c_e_h_3, c_u, s3)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 80.46/52.74 tff(30822,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30821, 7383, 30818, 30817, 30816])).
% 80.46/52.74 tff(30823,plain,((~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_ack(c_e_h_3, c_u, s2) | m_user_v_req(c_e_h_3, c_u, s3)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30824,plain,
% 80.46/52.74 ((~node7(c_e_h_3, c_u, s2, s3)) | m_user_v_req(c_e_h_3, c_u, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30823, 17131])).
% 80.46/52.74 tff(30825,plain,
% 80.46/52.74 (~node7(c_e_h_3, c_u, s2, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30824, 30816])).
% 80.46/52.74 tff(30826,assumption,(m_user_v_req(c_e_h_3, c_u, s2)), introduced(assumption)).
% 80.46/52.74 tff(30827,assumption,(node8(c_e_h_3, c_u, s2, s3)), introduced(assumption)).
% 80.46/52.74 tff(30828,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3)))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30829,plain,
% 80.46/52.74 ((m_user_v_req(c_e_h_3, c_u, s3) | (~node8(c_e_h_3, c_u, s2, s3)) | (~m_user_v_req(c_e_h_3, c_u, s2))) <=> (m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3)))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30830,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s3) | (~node8(c_e_h_3, c_u, s2, s3)) | (~m_user_v_req(c_e_h_3, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3))))),
% 80.46/52.74 inference(monotonicity,[status(thm)],[30829])).
% 80.46/52.74 tff(30831,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s3) | (~node8(c_e_h_3, c_u, s2, s3)) | (~m_user_v_req(c_e_h_3, c_u, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3)))),
% 80.46/52.74 inference(transitivity,[status(thm)],[30830, 30828])).
% 80.46/52.74 tff(30832,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s3) | (~node8(c_e_h_3, c_u, s2, s3)) | (~m_user_v_req(c_e_h_3, c_u, s2)))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30833,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2)) | (~node8(c_e_h_3, c_u, s2, s3))),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 80.46/52.74 tff(30834,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30833, 7402, 30827, 30826, 30816])).
% 80.46/52.74 tff(30835,plain,((~node8(c_e_h_3, c_u, s2, s3)) | (~m_user_v_req(c_e_h_3, c_u, s2)) | m_user_v_req(c_e_h_3, c_u, s3)), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30836,plain,
% 80.46/52.74 (~node8(c_e_h_3, c_u, s2, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30835, 30816, 30826])).
% 80.46/52.74 tff(30837,plain,
% 80.46/52.74 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_3, c_u, s2, s3) | node8(c_e_h_3, c_u, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_3, c_u, s2, s3) | node8(c_e_h_3, c_u, s2, s3))),
% 80.46/52.74 inference(rewrite,[status(thm)],[])).
% 80.46/52.74 tff(30838,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s2, s3)) | node7(c_e_h_3, c_u, s2, s3) | node8(c_e_h_3, c_u, s2, s3))),
% 80.46/52.74 inference(quant_inst,[status(thm)],[])).
% 80.46/52.74 tff(30839,plain,
% 80.46/52.74 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s2, s3)) | node7(c_e_h_3, c_u, s2, s3) | node8(c_e_h_3, c_u, s2, s3)),
% 80.46/52.74 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 80.46/52.74 tff(30840,plain,
% 80.46/52.74 (node7(c_e_h_3, c_u, s2, s3) | node8(c_e_h_3, c_u, s2, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30839, 7421, 463])).
% 80.46/52.74 tff(30841,plain,
% 80.46/52.74 ($false),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30840, 30836, 30825])).
% 80.46/52.74 tff(30842,plain,(m_user_v_req(c_e_h_3, c_u, s3) | (~m_user_v_req(c_e_h_3, c_u, s2))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.74 tff(30843,plain,
% 80.46/52.74 (m_user_v_req(c_e_h_3, c_u, s3)),
% 80.46/52.74 inference(unit_resolution,[status(thm)],[30842, 30815])).
% 80.46/52.74 tff(30844,plain,
% 80.46/52.74 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30845,plain,
% 80.46/52.75 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30846,plain,
% 80.46/52.75 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30845, 30844])).
% 80.46/52.75 tff(30847,plain,
% 80.46/52.75 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30846, 7318, 30843])).
% 80.46/52.75 tff(30848,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)), introduced(assumption)).
% 80.46/52.75 tff(30849,assumption,(node13(c_e_h_3, c_a, s3, s4)), introduced(assumption)).
% 80.46/52.75 tff(30850,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~node13(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~node13(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30851,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~node13(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30852,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~node13(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30851, 30850])).
% 80.46/52.75 tff(30853,plain,
% 80.46/52.75 ($false),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30852, 7277, 30849, 30848, 30727])).
% 80.46/52.75 tff(30854,plain,((~node13(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.75 tff(30855,plain,
% 80.46/52.75 (~node13(c_e_h_3, c_a, s3, s4)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30854, 30848, 30727])).
% 80.46/52.75 tff(30856,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_3, c_a, s3, s4) | node13(c_e_h_3, c_a, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_3, c_a, s3, s4) | node13(c_e_h_3, c_a, s3, s4))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30857,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s3, s4)) | node12(c_e_h_3, c_a, s3, s4) | node13(c_e_h_3, c_a, s3, s4))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30858,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s3, s4)) | node12(c_e_h_3, c_a, s3, s4) | node13(c_e_h_3, c_a, s3, s4)),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 80.46/52.75 tff(30859,plain,
% 80.46/52.75 (node12(c_e_h_3, c_a, s3, s4) | node13(c_e_h_3, c_a, s3, s4)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30858, 1020, 711])).
% 80.46/52.75 tff(30860,plain,
% 80.46/52.75 (node12(c_e_h_3, c_a, s3, s4)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30859, 30855])).
% 80.46/52.75 tff(30861,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30862,plain,
% 80.46/52.75 (((~node12(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) <=> ((~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30863,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3))))),
% 80.46/52.75 inference(monotonicity,[status(thm)],[30862])).
% 80.46/52.75 tff(30864,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)))),
% 80.46/52.75 inference(transitivity,[status(thm)],[30863, 30861])).
% 80.46/52.75 tff(30865,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30866,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3))),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 80.46/52.75 tff(30867,plain,
% 80.46/52.75 ($false),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30866, 7301, 30860, 30848, 30847])).
% 80.46/52.75 tff(30868,plain,(m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.75 tff(30869,plain,
% 80.46/52.75 (m_mutex_h_half_v_out(c_e_h_3, c_a, s4)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30868, 30727])).
% 80.46/52.75 tff(30870,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)), introduced(assumption)).
% 80.46/52.75 tff(30871,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s4)), introduced(assumption)).
% 80.46/52.75 tff(30872,assumption,(node13(c_e_h_3, c_a, s4, s5)), introduced(assumption)).
% 80.46/52.75 tff(30873,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30874,plain,
% 80.46/52.75 ((m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30875,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5))))),
% 80.46/52.75 inference(monotonicity,[status(thm)],[30874])).
% 80.46/52.75 tff(30876,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)))),
% 80.46/52.75 inference(transitivity,[status(thm)],[30875, 30873])).
% 80.46/52.75 tff(30877,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30878,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node13(c_e_h_3, c_a, s4, s5))),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 80.46/52.75 tff(30879,plain,
% 80.46/52.75 ($false),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30878, 7277, 30872, 30870, 30871])).
% 80.46/52.75 tff(30880,plain,((~node13(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4))), inference(lemma,lemma(discharge,[]))).
% 80.46/52.75 tff(30881,plain,
% 80.46/52.75 (~node13(c_e_h_3, c_a, s4, s5)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30880, 30871, 30870])).
% 80.46/52.75 tff(30882,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_3, c_a, s4, s5) | node13(c_e_h_3, c_a, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_3, c_a, s4, s5) | node13(c_e_h_3, c_a, s4, s5))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30883,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s4, s5)) | node12(c_e_h_3, c_a, s4, s5) | node13(c_e_h_3, c_a, s4, s5))),
% 80.46/52.75 inference(quant_inst,[status(thm)],[])).
% 80.46/52.75 tff(30884,plain,
% 80.46/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s4, s5)) | node12(c_e_h_3, c_a, s4, s5) | node13(c_e_h_3, c_a, s4, s5)),
% 80.46/52.75 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 80.46/52.75 tff(30885,plain,
% 80.46/52.75 (node12(c_e_h_3, c_a, s4, s5) | node13(c_e_h_3, c_a, s4, s5)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30884, 1020, 930])).
% 80.46/52.75 tff(30886,plain,
% 80.46/52.75 (node12(c_e_h_3, c_a, s4, s5)),
% 80.46/52.75 inference(unit_resolution,[status(thm)],[30885, 30881])).
% 80.46/52.75 tff(30887,plain,
% 80.46/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.46/52.75 inference(rewrite,[status(thm)],[])).
% 80.46/52.75 tff(30888,plain,
% 80.46/52.75 (((~node12(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.49/52.75 inference(rewrite,[status(thm)],[])).
% 80.49/52.75 tff(30889,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5))))),
% 80.49/52.75 inference(monotonicity,[status(thm)],[30888])).
% 80.49/52.75 tff(30890,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.49/52.75 inference(transitivity,[status(thm)],[30889, 30887])).
% 80.49/52.75 tff(30891,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5))),
% 80.49/52.75 inference(quant_inst,[status(thm)],[])).
% 80.49/52.75 tff(30892,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5) | (~node12(c_e_h_3, c_a, s4, s5))),
% 80.49/52.75 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 80.49/52.75 tff(30893,plain,
% 80.49/52.75 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30892, 7301, 30886, 30870])).
% 80.49/52.75 tff(30894,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)), introduced(assumption)).
% 80.49/52.75 tff(30895,assumption,(m_user_v_req(c_e_h_3, c_u, s4)), introduced(assumption)).
% 80.49/52.75 tff(30896,plain,
% 80.49/52.75 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4))),
% 80.49/52.75 inference(rewrite,[status(thm)],[])).
% 80.49/52.75 tff(30897,plain,
% 80.49/52.75 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4))),
% 80.49/52.75 inference(quant_inst,[status(thm)],[])).
% 80.49/52.75 tff(30898,plain,
% 80.49/52.75 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)),
% 80.49/52.75 inference(modus_ponens,[status(thm)],[30897, 30896])).
% 80.49/52.75 tff(30899,plain,
% 80.49/52.75 ($false),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30898, 7318, 30895, 30894])).
% 80.49/52.75 tff(30900,plain,((~m_user_v_req(c_e_h_3, c_u, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.75 tff(30901,plain,
% 80.49/52.75 (~m_user_v_req(c_e_h_3, c_u, s4)),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30900, 30893])).
% 80.49/52.75 tff(30902,assumption,(~m_user_v_ack(c_e_h_3, c_u, s3)), introduced(assumption)).
% 80.49/52.75 tff(30903,assumption,(~m_user_v_req(c_e_h_3, c_u, s4)), introduced(assumption)).
% 80.49/52.75 tff(30904,assumption,(node7(c_e_h_3, c_u, s3, s4)), introduced(assumption)).
% 80.49/52.75 tff(30905,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s3, s4)) | m_user_v_ack(c_e_h_3, c_u, s3) | m_user_v_req(c_e_h_3, c_u, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s3, s4)) | m_user_v_ack(c_e_h_3, c_u, s3) | m_user_v_req(c_e_h_3, c_u, s4))),
% 80.49/52.75 inference(rewrite,[status(thm)],[])).
% 80.49/52.75 tff(30906,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s3, s4)) | m_user_v_ack(c_e_h_3, c_u, s3) | m_user_v_req(c_e_h_3, c_u, s4))),
% 80.49/52.75 inference(quant_inst,[status(thm)],[])).
% 80.49/52.75 tff(30907,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s3, s4)) | m_user_v_ack(c_e_h_3, c_u, s3) | m_user_v_req(c_e_h_3, c_u, s4)),
% 80.49/52.75 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 80.49/52.75 tff(30908,plain,
% 80.49/52.75 ($false),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30907, 7383, 30904, 30902, 30903])).
% 80.49/52.75 tff(30909,plain,((~node7(c_e_h_3, c_u, s3, s4)) | m_user_v_ack(c_e_h_3, c_u, s3) | m_user_v_req(c_e_h_3, c_u, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.75 tff(30910,plain,
% 80.49/52.75 (~node7(c_e_h_3, c_u, s3, s4)),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30909, 30903, 30902])).
% 80.49/52.75 tff(30911,assumption,(m_user_v_req(c_e_h_3, c_u, s3)), introduced(assumption)).
% 80.49/52.75 tff(30912,assumption,(node8(c_e_h_3, c_u, s3, s4)), introduced(assumption)).
% 80.49/52.75 tff(30913,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4)))),
% 80.49/52.75 inference(rewrite,[status(thm)],[])).
% 80.49/52.75 tff(30914,plain,
% 80.49/52.75 ((m_user_v_req(c_e_h_3, c_u, s4) | (~node8(c_e_h_3, c_u, s3, s4)) | (~m_user_v_req(c_e_h_3, c_u, s3))) <=> (m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4)))),
% 80.49/52.75 inference(rewrite,[status(thm)],[])).
% 80.49/52.75 tff(30915,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s4) | (~node8(c_e_h_3, c_u, s3, s4)) | (~m_user_v_req(c_e_h_3, c_u, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4))))),
% 80.49/52.75 inference(monotonicity,[status(thm)],[30914])).
% 80.49/52.75 tff(30916,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s4) | (~node8(c_e_h_3, c_u, s3, s4)) | (~m_user_v_req(c_e_h_3, c_u, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4)))),
% 80.49/52.75 inference(transitivity,[status(thm)],[30915, 30913])).
% 80.49/52.75 tff(30917,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s4) | (~node8(c_e_h_3, c_u, s3, s4)) | (~m_user_v_req(c_e_h_3, c_u, s3)))),
% 80.49/52.75 inference(quant_inst,[status(thm)],[])).
% 80.49/52.75 tff(30918,plain,
% 80.49/52.75 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | (~node8(c_e_h_3, c_u, s3, s4))),
% 80.49/52.75 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 80.49/52.75 tff(30919,plain,
% 80.49/52.75 ($false),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30918, 7402, 30912, 30903, 30911])).
% 80.49/52.75 tff(30920,plain,((~node8(c_e_h_3, c_u, s3, s4)) | m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.75 tff(30921,plain,
% 80.49/52.75 (~node8(c_e_h_3, c_u, s3, s4)),
% 80.49/52.75 inference(unit_resolution,[status(thm)],[30920, 30903, 30911])).
% 80.49/52.75 tff(30922,plain,
% 80.49/52.75 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s3, s4)) | node7(c_e_h_3, c_u, s3, s4) | node8(c_e_h_3, c_u, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s3, s4)) | node7(c_e_h_3, c_u, s3, s4) | node8(c_e_h_3, c_u, s3, s4))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30923,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s3, s4)) | node7(c_e_h_3, c_u, s3, s4) | node8(c_e_h_3, c_u, s3, s4))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30924,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s3, s4)) | node7(c_e_h_3, c_u, s3, s4) | node8(c_e_h_3, c_u, s3, s4)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 80.49/52.76 tff(30925,plain,
% 80.49/52.76 (node7(c_e_h_3, c_u, s3, s4) | node8(c_e_h_3, c_u, s3, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30924, 7421, 711])).
% 80.49/52.76 tff(30926,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30925, 30921, 30910])).
% 80.49/52.76 tff(30927,plain,(m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3)) | m_user_v_ack(c_e_h_3, c_u, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30928,plain,
% 80.49/52.76 (m_user_v_req(c_e_h_3, c_u, s4) | (~m_user_v_req(c_e_h_3, c_u, s3))),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30927, 17103])).
% 80.49/52.76 tff(30929,plain,
% 80.49/52.76 (~m_user_v_req(c_e_h_3, c_u, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30928, 30901])).
% 80.49/52.76 tff(30930,plain,
% 80.49/52.76 (~m_user_v_req(c_e_h_3, c_u, s2)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30842, 30929])).
% 80.49/52.76 tff(30931,plain,
% 80.49/52.76 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30814, 30930])).
% 80.49/52.76 tff(30932,plain,
% 80.49/52.76 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30807, 30931])).
% 80.49/52.76 tff(30933,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)), introduced(assumption)).
% 80.49/52.76 tff(30934,assumption,(node12(c_e_h_3, c_a, s3, s4)), introduced(assumption)).
% 80.49/52.76 tff(30935,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30936,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30937,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (~node12(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4))),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30936, 30935])).
% 80.49/52.76 tff(30938,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30937, 1082, 30934, 30871, 30933])).
% 80.49/52.76 tff(30939,plain,((~node12(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30940,plain,
% 80.49/52.76 (~node12(c_e_h_3, c_a, s3, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30939, 30871, 30933])).
% 80.49/52.76 tff(30941,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)), introduced(assumption)).
% 80.49/52.76 tff(30942,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~node13(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~node13(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30943,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~node13(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30944,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~node13(c_e_h_3, c_a, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 80.49/52.76 tff(30945,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30944, 1004, 30849, 30871, 30941])).
% 80.49/52.76 tff(30946,plain,((~node13(c_e_h_3, c_a, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30947,plain,
% 80.49/52.76 (~node13(c_e_h_3, c_a, s3, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30946, 30871, 30941])).
% 80.49/52.76 tff(30948,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30859, 30947, 30940])).
% 80.49/52.76 tff(30949,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30950,plain,
% 80.49/52.76 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30949, 30932, 30871])).
% 80.49/52.76 tff(30951,plain,
% 80.49/52.76 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_user_v_req(c_e_h_3, c_u, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_user_v_req(c_e_h_3, c_u, s3))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30952,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_user_v_req(c_e_h_3, c_u, s3))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30953,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)) | m_user_v_req(c_e_h_3, c_u, s3)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 80.49/52.76 tff(30954,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30953, 2765, 30950, 30929])).
% 80.49/52.76 tff(30955,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30956,plain,
% 80.49/52.76 (m_mutex_h_half_v_out(c_e_h_3, c_a, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30955, 30869])).
% 80.49/52.76 tff(30957,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30958,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5)))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30959,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5))),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30958, 30957])).
% 80.49/52.76 tff(30960,plain,
% 80.49/52.76 (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30959, 14978, 930, 30956])).
% 80.49/52.76 tff(30961,plain,
% 80.49/52.76 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30962,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30963,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s5)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30962, 30961])).
% 80.49/52.76 tff(30964,plain,
% 80.49/52.76 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30963, 21331, 30960])).
% 80.49/52.76 tff(30965,plain,
% 80.49/52.76 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3284, 30964])).
% 80.49/52.76 tff(30966,plain,
% 80.49/52.76 (~node20(c_e_h_3, c_d, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3292, 30965])).
% 80.49/52.76 tff(30967,plain,
% 80.49/52.76 (m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3315, 30966, 3294])).
% 80.49/52.76 tff(30968,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30969,plain,
% 80.49/52.76 (((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4))) <=> ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30970,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4))))),
% 80.49/52.76 inference(monotonicity,[status(thm)],[30969])).
% 80.49/52.76 tff(30971,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(transitivity,[status(thm)],[30970, 30968])).
% 80.49/52.76 tff(30972,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30973,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s3, s4)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4))),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30972, 30971])).
% 80.49/52.76 tff(30974,plain,
% 80.49/52.76 (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30973, 14978, 711, 30869])).
% 80.49/52.76 tff(30975,plain,
% 80.49/52.76 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30976,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30977,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_mutex_h_half_v_other_h_out(I0, c_a, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_a, s4)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30976, 30975])).
% 80.49/52.76 tff(30978,plain,
% 80.49/52.76 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30977, 21331, 30974])).
% 80.49/52.76 tff(30979,plain,
% 80.49/52.76 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3200, 30978])).
% 80.49/52.76 tff(30980,plain,
% 80.49/52.76 (~node20(c_e_h_3, c_d, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3208, 30979])).
% 80.49/52.76 tff(30981,plain,
% 80.49/52.76 (m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3228, 30980, 30967])).
% 80.49/52.76 tff(30982,plain,
% 80.49/52.76 (node20(c_e_h_3, c_d, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3191, 30981])).
% 80.49/52.76 tff(30983,plain,
% 80.49/52.76 (m_and_h_gate_v_in1(c_e_h_3, c_d, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3167, 30982])).
% 80.49/52.76 tff(30984,plain,
% 80.49/52.76 (m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[3159, 30983])).
% 80.49/52.76 tff(30985,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30986,plain,
% 80.49/52.76 (((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3))) <=> ((~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30987,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))))),
% 80.49/52.76 inference(monotonicity,[status(thm)],[30986])).
% 80.49/52.76 tff(30988,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))),
% 80.49/52.76 inference(transitivity,[status(thm)],[30987, 30985])).
% 80.49/52.76 tff(30989,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30990,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s2, s3)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 80.49/52.76 tff(30991,plain,
% 80.49/52.76 (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30990, 14978, 463, 30984])).
% 80.49/52.76 tff(30992,plain,
% 80.49/52.76 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30993,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(30994,plain,
% 80.49/52.76 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s3)),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[30993, 30992])).
% 80.49/52.76 tff(30995,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30994, 14999, 30727, 30991])).
% 80.49/52.76 tff(30996,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(30997,plain,
% 80.49/52.76 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30996, 30726])).
% 80.49/52.76 tff(30998,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(30999,plain,
% 80.49/52.76 ((m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~node13(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2))) <=> (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(31000,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~node13(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3))))),
% 80.49/52.76 inference(monotonicity,[status(thm)],[30999])).
% 80.49/52.76 tff(31001,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~node13(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(transitivity,[status(thm)],[31000, 30998])).
% 80.49/52.76 tff(31002,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~node13(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)))),
% 80.49/52.76 inference(quant_inst,[status(thm)],[])).
% 80.49/52.76 tff(31003,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | (~node13(c_e_h_3, c_a, s2, s3))),
% 80.49/52.76 inference(modus_ponens,[status(thm)],[31002, 31001])).
% 80.49/52.76 tff(31004,plain,
% 80.49/52.76 ($false),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[31003, 7277, 30745, 30941, 30752])).
% 80.49/52.76 tff(31005,plain,((~node13(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.76 tff(31006,plain,
% 80.49/52.76 (~node13(c_e_h_3, c_a, s2, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[31005, 30752, 30941])).
% 80.49/52.76 tff(31007,plain,
% 80.49/52.76 (node12(c_e_h_3, c_a, s2, s3)),
% 80.49/52.76 inference(unit_resolution,[status(thm)],[30742, 31006])).
% 80.49/52.76 tff(31008,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(31009,plain,
% 80.49/52.76 (((~node12(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)) <=> (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(rewrite,[status(thm)],[])).
% 80.49/52.76 tff(31010,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3))))),
% 80.49/52.76 inference(monotonicity,[status(thm)],[31009])).
% 80.49/52.76 tff(31011,plain,
% 80.49/52.76 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3)))),
% 80.49/52.76 inference(transitivity,[status(thm)],[31010, 31008])).
% 80.49/52.76 tff(31012,plain,
% 80.49/52.76 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s2, s3)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31013,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)) | (~node12(c_e_h_3, c_a, s2, s3))),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 80.49/52.77 tff(31014,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31013, 7301, 30729, 30941, 30809])).
% 80.49/52.77 tff(31015,plain,((~node12(c_e_h_3, c_a, s2, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31016,plain,
% 80.49/52.77 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31015, 31007, 30941])).
% 80.49/52.77 tff(31017,plain,
% 80.49/52.77 (~node13(c_e_h_3, c_a, s1, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30758, 30752])).
% 80.49/52.77 tff(31018,plain,
% 80.49/52.77 (node12(c_e_h_3, c_a, s1, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30763, 31017])).
% 80.49/52.77 tff(31019,plain,
% 80.49/52.77 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s1)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30774, 31018, 30752])).
% 80.49/52.77 tff(31020,plain,
% 80.49/52.77 (m_user_v_req(c_e_h_3, c_u, s1)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30778, 2765, 31019])).
% 80.49/52.77 tff(31021,plain,
% 80.49/52.77 (m_user_v_req(c_e_h_3, c_u, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30801, 31020])).
% 80.49/52.77 tff(31022,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30805, 7318, 31021, 31016])).
% 80.49/52.77 tff(31023,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31024,plain,
% 80.49/52.77 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31023, 30997])).
% 80.49/52.77 tff(31025,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_c, s2)), introduced(assumption)).
% 80.49/52.77 tff(31026,plain,
% 80.49/52.77 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31027,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31028,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31027, 31026])).
% 80.49/52.77 tff(31029,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31028, 2644, 30744, 31025])).
% 80.49/52.77 tff(31030,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31031,plain,
% 80.49/52.77 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31030, 31024])).
% 80.49/52.77 tff(31032,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)), introduced(assumption)).
% 80.49/52.77 tff(31033,assumption,(node20(c_e_h_3, c_c, s2)), introduced(assumption)).
% 80.49/52.77 tff(31034,plain,
% 80.49/52.77 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s2))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31035,plain,
% 80.49/52.77 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s2))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31036,plain,
% 80.49/52.77 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 80.49/52.77 tff(31037,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31036, 22, 31033, 31032])).
% 80.49/52.77 tff(31038,plain,((~node20(c_e_h_3, c_c, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31039,plain,
% 80.49/52.77 (~node20(c_e_h_3, c_c, s2)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31038, 31031])).
% 80.49/52.77 tff(31040,assumption,(m_and_h_gate_v_out(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.49/52.77 tff(31041,assumption,(node22(c_e_h_3, c_c, s2, s3)), introduced(assumption)).
% 80.49/52.77 tff(31042,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node22(c_e_h_3, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node22(c_e_h_3, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31043,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node22(c_e_h_3, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31044,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node22(c_e_h_3, c_c, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 80.49/52.77 tff(31045,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31044, 437, 31040, 16697, 31041])).
% 80.49/52.77 tff(31046,plain,((~node22(c_e_h_3, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31047,plain,
% 80.49/52.77 (~node22(c_e_h_3, c_c, s2, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31046, 31040])).
% 80.49/52.77 tff(31048,assumption,(~node20(c_e_h_3, c_c, s2)), introduced(assumption)).
% 80.49/52.77 tff(31049,assumption,(node21(c_e_h_3, c_c, s2, s3)), introduced(assumption)).
% 80.49/52.77 tff(31050,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node21(c_e_h_3, c_c, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node21(c_e_h_3, c_c, s2, s3)))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31051,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node21(c_e_h_3, c_c, s2, s3)))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31052,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_c, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | (~node21(c_e_h_3, c_c, s2, s3))),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 80.49/52.77 tff(31053,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31052, 348, 31040, 31049, 31048])).
% 80.49/52.77 tff(31054,plain,((~node21(c_e_h_3, c_c, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | node20(c_e_h_3, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31055,plain,
% 80.49/52.77 (~node21(c_e_h_3, c_c, s2, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31054, 31040, 31048])).
% 80.49/52.77 tff(31056,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_c, s2, s3) | node22(c_e_h_3, c_c, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_c, s2, s3) | node22(c_e_h_3, c_c, s2, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31057,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_c, s2, s3) | node22(c_e_h_3, c_c, s2, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31058,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_c, s2, s3) | node22(c_e_h_3, c_c, s2, s3)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31057, 31056])).
% 80.49/52.77 tff(31059,plain,
% 80.49/52.77 (node21(c_e_h_3, c_c, s2, s3) | node22(c_e_h_3, c_c, s2, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31058, 383, 463])).
% 80.49/52.77 tff(31060,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31059, 31055, 31047])).
% 80.49/52.77 tff(31061,plain,((~m_and_h_gate_v_out(c_e_h_3, c_c, s3)) | node20(c_e_h_3, c_c, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31062,plain,
% 80.49/52.77 (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31061, 31039])).
% 80.49/52.77 tff(31063,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.49/52.77 tff(31064,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.77 tff(31065,assumption,(m_or_h_gate_v_in1(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.77 tff(31066,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.49/52.77 tff(31067,plain,
% 80.49/52.77 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31068,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31069,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31068, 31067])).
% 80.49/52.77 tff(31070,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31069, 2486, 31066, 31065])).
% 80.49/52.77 tff(31071,plain,((~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31072,plain,
% 80.49/52.77 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31071, 31062])).
% 80.49/52.77 tff(31073,assumption,(m_or_h_gate_v_in2(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.77 tff(31074,plain,
% 80.49/52.77 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31075,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31076,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31075, 31074])).
% 80.49/52.77 tff(31077,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31076, 2501, 1471, 31073])).
% 80.49/52.77 tff(31078,plain,((~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)) | m_and_h_gate_v_out(c_e_h_3, c_d, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31079,plain,
% 80.49/52.77 (~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31078, 1470])).
% 80.49/52.77 tff(31080,assumption,(m_or_h_gate_v_out(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.49/52.77 tff(31081,assumption,(node6(c_e_h_3, c_g, s3, s4)), introduced(assumption)).
% 80.49/52.77 tff(31082,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4)))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31083,plain,
% 80.49/52.77 (((~node6(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)) <=> (m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4)))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31084,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4))))),
% 80.49/52.77 inference(monotonicity,[status(thm)],[31083])).
% 80.49/52.77 tff(31085,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4)))),
% 80.49/52.77 inference(transitivity,[status(thm)],[31084, 31082])).
% 80.49/52.77 tff(31086,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31087,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node6(c_e_h_3, c_g, s3, s4))),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31086, 31085])).
% 80.49/52.77 tff(31088,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31087, 1851, 31081, 31064, 31080])).
% 80.49/52.77 tff(31089,plain,((~node6(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31090,plain,
% 80.49/52.77 (~node6(c_e_h_3, c_g, s3, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31089, 31080, 31064])).
% 80.49/52.77 tff(31091,assumption,(~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.77 tff(31092,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.77 tff(31093,assumption,(node5(c_e_h_3, c_g, s3, s4)), introduced(assumption)).
% 80.49/52.77 tff(31094,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31095,plain,
% 80.49/52.77 ((m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~node5(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4))) <=> (m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31096,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~node5(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3)))),
% 80.49/52.77 inference(monotonicity,[status(thm)],[31095])).
% 80.49/52.77 tff(31097,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~node5(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(transitivity,[status(thm)],[31096, 31094])).
% 80.49/52.77 tff(31098,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~node5(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31099,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | (~node5(c_e_h_3, c_g, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31098, 31097])).
% 80.49/52.77 tff(31100,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31099, 1888, 31093, 31080, 31091, 31092])).
% 80.49/52.77 tff(31101,plain,((~node5(c_e_h_3, c_g, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31102,plain,
% 80.49/52.77 (~node5(c_e_h_3, c_g, s3, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31101, 31080, 31092, 31091])).
% 80.49/52.77 tff(31103,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31104,plain,
% 80.49/52.77 ((node6(c_e_h_3, c_g, s3, s4) | node5(c_e_h_3, c_g, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31105,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s3, s4) | node5(c_e_h_3, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4)))),
% 80.49/52.77 inference(monotonicity,[status(thm)],[31104])).
% 80.49/52.77 tff(31106,plain,
% 80.49/52.77 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s3, s4) | node5(c_e_h_3, c_g, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4))),
% 80.49/52.77 inference(transitivity,[status(thm)],[31105, 31103])).
% 80.49/52.77 tff(31107,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s3, s4) | node5(c_e_h_3, c_g, s3, s4) | (~trans(s3, s4)))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31108,plain,
% 80.49/52.77 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 80.49/52.77 tff(31109,plain,
% 80.49/52.77 (node5(c_e_h_3, c_g, s3, s4) | node6(c_e_h_3, c_g, s3, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31108, 1870, 711])).
% 80.49/52.77 tff(31110,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31109, 31102, 31090])).
% 80.49/52.77 tff(31111,plain,((~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s3) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31112,plain,
% 80.49/52.77 ((~m_or_h_gate_v_out(c_e_h_3, c_g, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31111, 31079])).
% 80.49/52.77 tff(31113,plain,
% 80.49/52.77 (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31112, 31072, 31064])).
% 80.49/52.77 tff(31114,assumption,(m_c_h_element_v_out(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.49/52.77 tff(31115,assumption,(m_c_h_element_v_in1(c_e_h_3, c_h, s3)), introduced(assumption)).
% 80.49/52.77 tff(31116,plain,
% 80.49/52.77 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(rewrite,[status(thm)],[])).
% 80.49/52.77 tff(31117,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3))),
% 80.49/52.77 inference(quant_inst,[status(thm)],[])).
% 80.49/52.77 tff(31118,plain,
% 80.49/52.77 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.49/52.77 inference(modus_ponens,[status(thm)],[31117, 31116])).
% 80.49/52.77 tff(31119,plain,
% 80.49/52.77 ($false),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31118, 4673, 31064, 31115])).
% 80.49/52.77 tff(31120,plain,((~m_c_h_element_v_in1(c_e_h_3, c_h, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.77 tff(31121,plain,
% 80.49/52.77 (~m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31120, 31064])).
% 80.49/52.77 tff(31122,plain,
% 80.49/52.77 (~m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[30013, 31121])).
% 80.49/52.77 tff(31123,plain,
% 80.49/52.77 (~m_or_h_gate_v_out(c_e_h_3, c_g, s4)),
% 80.49/52.77 inference(unit_resolution,[status(thm)],[31112, 31064, 31091])).
% 80.49/52.77 tff(31124,assumption,(m_c_h_element_v_in1(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.49/52.77 tff(31125,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.49/52.77 tff(31126,plain,
% 80.49/52.77 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31127,plain,
% 80.49/52.78 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31128,plain,
% 80.49/52.78 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31127, 31126])).
% 80.49/52.78 tff(31129,plain,
% 80.49/52.78 ($false),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31128, 4673, 31125, 31124])).
% 80.49/52.78 tff(31130,plain,((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.78 tff(31131,plain,
% 80.49/52.78 (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31130, 31123])).
% 80.49/52.78 tff(31132,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.49/52.78 tff(31133,assumption,(node14(c_e_h_3, c_h, s4, s5)), introduced(assumption)).
% 80.49/52.78 tff(31134,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31135,plain,
% 80.49/52.78 (((~node14(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31136,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5))))),
% 80.49/52.78 inference(monotonicity,[status(thm)],[31135])).
% 80.49/52.78 tff(31137,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(transitivity,[status(thm)],[31136, 31134])).
% 80.49/52.78 tff(31138,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31139,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~node14(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 80.49/52.78 tff(31140,plain,
% 80.49/52.78 ($false),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31139, 575, 31114, 31133, 31132])).
% 80.49/52.78 tff(31141,plain,((~node14(c_e_h_3, c_h, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.78 tff(31142,plain,
% 80.49/52.78 (~node14(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31141, 31132, 31114])).
% 80.49/52.78 tff(31143,assumption,(node15(c_e_h_3, c_h, s4, s5)), introduced(assumption)).
% 80.49/52.78 tff(31144,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node15(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node15(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31145,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node15(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31146,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node15(c_e_h_3, c_h, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31145, 31144])).
% 80.49/52.78 tff(31147,plain,
% 80.49/52.78 ($false),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31146, 612, 31114, 30021, 31143])).
% 80.49/52.78 tff(31148,plain,((~node15(c_e_h_3, c_h, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.78 tff(31149,plain,
% 80.49/52.78 (~node15(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31148, 30021, 31114])).
% 80.49/52.78 tff(31150,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31151,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31152,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 80.49/52.78 tff(31153,plain,
% 80.49/52.78 (node19(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31152, 494, 930])).
% 80.49/52.78 tff(31154,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31155,plain,
% 80.49/52.78 ((node16(c_e_h_3, c_h, s4) | node14(c_e_h_3, c_h, s4, s5) | node15(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5))) <=> (node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31156,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s4) | node14(c_e_h_3, c_h, s4, s5) | node15(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(monotonicity,[status(thm)],[31155])).
% 80.49/52.78 tff(31157,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s4) | node14(c_e_h_3, c_h, s4, s5) | node15(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(transitivity,[status(thm)],[31156, 31154])).
% 80.49/52.78 tff(31158,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_h, s4) | node14(c_e_h_3, c_h, s4, s5) | node15(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31159,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31158, 31157])).
% 80.49/52.78 tff(31160,plain,
% 80.49/52.78 (node16(c_e_h_3, c_h, s4) | node15(c_e_h_3, c_h, s4, s5) | node14(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31159, 594, 31153])).
% 80.49/52.78 tff(31161,plain,
% 80.49/52.78 (node16(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31160, 31149, 31142])).
% 80.49/52.78 tff(31162,plain,
% 80.49/52.78 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | m_c_h_element_v_in2(c_e_h_3, c_h, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | m_c_h_element_v_in2(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31163,plain,
% 80.49/52.78 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | m_c_h_element_v_in2(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31164,plain,
% 80.49/52.78 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_h, s4)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 80.49/52.78 tff(31165,plain,
% 80.49/52.78 ((~node16(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31164, 559, 31132])).
% 80.49/52.78 tff(31166,plain,
% 80.49/52.78 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31165, 31161])).
% 80.49/52.78 tff(31167,plain,
% 80.49/52.78 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31168,plain,
% 80.49/52.78 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31169,plain,
% 80.49/52.78 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 80.49/52.78 tff(31170,plain,
% 80.49/52.78 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4))),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31169, 1172, 31132])).
% 80.49/52.78 tff(31171,plain,
% 80.49/52.78 (~node17(c_e_h_3, c_h, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31170, 31166])).
% 80.49/52.78 tff(31172,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31173,plain,
% 80.49/52.78 ((node17(c_e_h_3, c_h, s4) | node18(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5))) <=> (node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31174,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s4) | node18(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(monotonicity,[status(thm)],[31173])).
% 80.49/52.78 tff(31175,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s4) | node18(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(transitivity,[status(thm)],[31174, 31172])).
% 80.49/52.78 tff(31176,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_h, s4) | node18(c_e_h_3, c_h, s4, s5) | (~node19(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31177,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_h, s4) | (~node19(c_e_h_3, c_h, s4, s5)) | node18(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31176, 31175])).
% 80.49/52.78 tff(31178,plain,
% 80.49/52.78 (node17(c_e_h_3, c_h, s4) | node18(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31177, 508, 31153])).
% 80.49/52.78 tff(31179,plain,
% 80.49/52.78 (node18(c_e_h_3, c_h, s4, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31178, 31171])).
% 80.49/52.78 tff(31180,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31181,plain,
% 80.49/52.78 (((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~node18(c_e_h_3, c_h, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(rewrite,[status(thm)],[])).
% 80.49/52.78 tff(31182,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~node18(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5))))),
% 80.49/52.78 inference(monotonicity,[status(thm)],[31181])).
% 80.49/52.78 tff(31183,plain,
% 80.49/52.78 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~node18(c_e_h_3, c_h, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(transitivity,[status(thm)],[31182, 31180])).
% 80.49/52.78 tff(31184,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~node18(c_e_h_3, c_h, s4, s5)))),
% 80.49/52.78 inference(quant_inst,[status(thm)],[])).
% 80.49/52.78 tff(31185,plain,
% 80.49/52.78 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | (~node18(c_e_h_3, c_h, s4, s5))),
% 80.49/52.78 inference(modus_ponens,[status(thm)],[31184, 31183])).
% 80.49/52.78 tff(31186,plain,
% 80.49/52.78 ($false),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31185, 481, 31114, 30021, 31179])).
% 80.49/52.78 tff(31187,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_in1(c_e_h_3, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.78 tff(31188,plain,
% 80.49/52.78 ($false),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31187, 31131, 31122, 31114])).
% 80.49/52.78 tff(31189,plain,(m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.78 tff(31190,plain,
% 80.49/52.78 (~m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31189, 31072, 31064])).
% 80.49/52.78 tff(31191,plain,
% 80.49/52.78 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30024, 8, 31122])).
% 80.49/52.78 tff(31192,plain,
% 80.49/52.78 (~node20(c_e_h_3, c_i, s4)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30034, 31191])).
% 80.49/52.78 tff(31193,plain,
% 80.49/52.78 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30058, 31192])).
% 80.49/52.78 tff(31194,plain,
% 80.49/52.78 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30066, 31193])).
% 80.49/52.78 tff(31195,plain,
% 80.49/52.78 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[3520, 31194])).
% 80.49/52.78 tff(31196,plain,
% 80.49/52.78 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30473, 8, 31190])).
% 80.49/52.78 tff(31197,plain,
% 80.49/52.78 (~node20(c_e_h_3, c_i, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30477, 22, 31196])).
% 80.49/52.78 tff(31198,plain,
% 80.49/52.78 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30497, 31197, 31193])).
% 80.49/52.78 tff(31199,plain,
% 80.49/52.78 (node20(c_e_h_3, c_i, s6)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30572, 31198, 31195, 9088])).
% 80.49/52.78 tff(31200,plain,
% 80.49/52.78 (m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[25, 22, 31199])).
% 80.49/52.78 tff(31201,plain,
% 80.49/52.78 (m_c_h_element_v_out(c_e_h_3, c_h, s6)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[11, 8, 31200])).
% 80.49/52.78 tff(31202,plain,
% 80.49/52.78 (m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30661, 30467, 30576])).
% 80.49/52.78 tff(31203,plain,
% 80.49/52.78 ((~m_c_h_element_v_in2(c_e_h_3, c_h, s5)) | (~node17(c_e_h_3, c_h, s5))),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[30620, 1172, 30650])).
% 80.49/52.78 tff(31204,plain,
% 80.49/52.78 (~node17(c_e_h_3, c_h, s5)),
% 80.49/52.78 inference(unit_resolution,[status(thm)],[31203, 31202])).
% 80.49/52.79 tff(31205,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[30597, 31204, 30586])).
% 80.49/52.79 tff(31206,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s5) | m_c_h_element_v_in1(c_e_h_3, c_h, s5) | (~m_c_h_element_v_out(c_e_h_3, c_h, s6))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31207,plain,
% 80.49/52.79 (m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31206, 31201, 31190])).
% 80.49/52.79 tff(31208,assumption,(m_c_h_element_v_in1(c_e_h_3, c_h, s5)), introduced(assumption)).
% 80.49/52.79 tff(31209,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_g, s5)), introduced(assumption)).
% 80.49/52.79 tff(31210,plain,
% 80.49/52.79 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s5))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s5))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31211,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s5))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31212,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s5)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 80.49/52.79 tff(31213,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31212, 4673, 31209, 31208])).
% 80.49/52.79 tff(31214,plain,((~m_c_h_element_v_in1(c_e_h_3, c_h, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31215,plain,
% 80.49/52.79 (m_or_h_gate_v_out(c_e_h_3, c_g, s5)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31214, 31207])).
% 80.49/52.79 tff(31216,assumption,(m_or_h_gate_v_out(c_e_h_3, c_g, s5)), introduced(assumption)).
% 80.49/52.79 tff(31217,assumption,(~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.49/52.79 tff(31218,assumption,(node6(c_e_h_3, c_g, s4, s5)), introduced(assumption)).
% 80.49/52.79 tff(31219,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31220,plain,
% 80.49/52.79 (((~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4)) <=> (m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31221,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5))))),
% 80.49/52.79 inference(monotonicity,[status(thm)],[31220])).
% 80.49/52.79 tff(31222,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))),
% 80.49/52.79 inference(transitivity,[status(thm)],[31221, 31219])).
% 80.49/52.79 tff(31223,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31224,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~node6(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5))),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 80.49/52.79 tff(31225,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31224, 1851, 31218, 31125, 31216])).
% 80.49/52.79 tff(31226,plain,((~node6(c_e_h_3, c_g, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31227,plain,
% 80.49/52.79 (~node6(c_e_h_3, c_g, s4, s5)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31226, 31216, 31125])).
% 80.49/52.79 tff(31228,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31229,plain,
% 80.49/52.79 ((node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31230,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5)))),
% 80.49/52.79 inference(monotonicity,[status(thm)],[31229])).
% 80.49/52.79 tff(31231,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5))),
% 80.49/52.79 inference(transitivity,[status(thm)],[31230, 31228])).
% 80.49/52.79 tff(31232,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5) | (~trans(s4, s5)))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31233,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31232, 31231])).
% 80.49/52.79 tff(31234,plain,
% 80.49/52.79 (node6(c_e_h_3, c_g, s4, s5) | node5(c_e_h_3, c_g, s4, s5)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31233, 1870, 930])).
% 80.49/52.79 tff(31235,plain,
% 80.49/52.79 (node5(c_e_h_3, c_g, s4, s5)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31234, 31227])).
% 80.49/52.79 tff(31236,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31237,plain,
% 80.49/52.79 ((m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~node5(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5))) <=> (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31238,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~node5(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5))))),
% 80.49/52.79 inference(monotonicity,[status(thm)],[31237])).
% 80.49/52.79 tff(31239,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~node5(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5)))),
% 80.49/52.79 inference(transitivity,[status(thm)],[31238, 31236])).
% 80.49/52.79 tff(31240,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~node5(c_e_h_3, c_g, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31241,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | (~node5(c_e_h_3, c_g, s4, s5))),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 80.49/52.79 tff(31242,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31241, 1888, 31235, 31217, 31063, 31216])).
% 80.49/52.79 tff(31243,plain,((~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | m_or_h_gate_v_out(c_e_h_3, c_g, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31244,plain,
% 80.49/52.79 (m_or_h_gate_v_in1(c_e_h_3, c_g, s4)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31243, 31215, 31113, 31063])).
% 80.49/52.79 tff(31245,assumption,(m_or_h_gate_v_in1(c_e_h_3, c_g, s4)), introduced(assumption)).
% 80.49/52.79 tff(31246,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_c, s4)), introduced(assumption)).
% 80.49/52.79 tff(31247,plain,
% 80.49/52.79 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s4))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31248,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s4))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31249,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s4)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31248, 31247])).
% 80.49/52.79 tff(31250,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31249, 2486, 31246, 31245])).
% 80.49/52.79 tff(31251,plain,((~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31252,plain,
% 80.49/52.79 (m_and_h_gate_v_out(c_e_h_3, c_c, s4)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31251, 31244])).
% 80.49/52.79 tff(31253,assumption,(m_and_h_gate_v_out(c_e_h_3, c_c, s4)), introduced(assumption)).
% 80.49/52.79 tff(31254,assumption,(node22(c_e_h_3, c_c, s3, s4)), introduced(assumption)).
% 80.49/52.79 tff(31255,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node22(c_e_h_3, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node22(c_e_h_3, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31256,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node22(c_e_h_3, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31257,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node22(c_e_h_3, c_c, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 80.49/52.79 tff(31258,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31257, 437, 31254, 31253, 31066])).
% 80.49/52.79 tff(31259,plain,((~node22(c_e_h_3, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | m_and_h_gate_v_out(c_e_h_3, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31260,plain,
% 80.49/52.79 (~node22(c_e_h_3, c_c, s3, s4)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31259, 31253, 31066])).
% 80.49/52.79 tff(31261,assumption,(~node20(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.49/52.79 tff(31262,assumption,(node21(c_e_h_3, c_c, s3, s4)), introduced(assumption)).
% 80.49/52.79 tff(31263,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31264,plain,
% 80.49/52.79 ((node20(c_e_h_3, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node21(c_e_h_3, c_c, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4)))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31265,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node21(c_e_h_3, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4))))),
% 80.49/52.79 inference(monotonicity,[status(thm)],[31264])).
% 80.49/52.79 tff(31266,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node21(c_e_h_3, c_c, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4)))),
% 80.49/52.79 inference(transitivity,[status(thm)],[31265, 31263])).
% 80.49/52.79 tff(31267,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_c, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | (~node21(c_e_h_3, c_c, s3, s4)))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31268,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | (~node21(c_e_h_3, c_c, s3, s4))),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31267, 31266])).
% 80.49/52.79 tff(31269,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31268, 348, 31262, 31253, 31261])).
% 80.49/52.79 tff(31270,plain,((~node21(c_e_h_3, c_c, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31271,plain,
% 80.49/52.79 (~node21(c_e_h_3, c_c, s3, s4)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31270, 31253, 31261])).
% 80.49/52.79 tff(31272,plain,
% 80.49/52.79 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_c, s3, s4) | node22(c_e_h_3, c_c, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_c, s3, s4) | node22(c_e_h_3, c_c, s3, s4))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31273,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_c, s3, s4) | node22(c_e_h_3, c_c, s3, s4))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31274,plain,
% 80.49/52.79 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_c, s3, s4) | node22(c_e_h_3, c_c, s3, s4)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31273, 31272])).
% 80.49/52.79 tff(31275,plain,
% 80.49/52.79 (node21(c_e_h_3, c_c, s3, s4) | node22(c_e_h_3, c_c, s3, s4)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31274, 383, 711])).
% 80.49/52.79 tff(31276,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31275, 31271, 31260])).
% 80.49/52.79 tff(31277,plain,((~m_and_h_gate_v_out(c_e_h_3, c_c, s4)) | node20(c_e_h_3, c_c, s3) | m_and_h_gate_v_out(c_e_h_3, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31278,plain,
% 80.49/52.79 (node20(c_e_h_3, c_c, s3)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31277, 31252, 31062])).
% 80.49/52.79 tff(31279,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.49/52.79 tff(31280,plain,
% 80.49/52.79 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.49/52.79 inference(rewrite,[status(thm)],[])).
% 80.49/52.79 tff(31281,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3))),
% 80.49/52.79 inference(quant_inst,[status(thm)],[])).
% 80.49/52.79 tff(31282,plain,
% 80.49/52.79 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_c, X)) | m_mutex_h_half_v_out(I0, c_a, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.49/52.79 inference(modus_ponens,[status(thm)],[31281, 31280])).
% 80.49/52.79 tff(31283,plain,
% 80.49/52.79 ($false),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31282, 2644, 30941, 31279])).
% 80.49/52.79 tff(31284,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.79 tff(31285,plain,
% 80.49/52.79 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)),
% 80.49/52.79 inference(unit_resolution,[status(thm)],[31284, 30997])).
% 80.49/52.79 tff(31286,plain,
% 80.49/52.79 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s3))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31287,plain,
% 80.49/52.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s3))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31288,plain,
% 80.49/52.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s3)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 80.49/52.80 tff(31289,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31288, 22, 31285, 31278])).
% 80.49/52.80 tff(31290,plain,(m_or_h_gate_v_in2(c_e_h_3, c_g, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31291,plain,
% 80.49/52.80 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_or_h_gate_v_out(c_e_h_3, c_g, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31290, 30722])).
% 80.49/52.80 tff(31292,plain,
% 80.49/52.80 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31291, 30712, 30464, 9088])).
% 80.49/52.80 tff(31293,assumption,(m_or_h_gate_v_out(c_e_h_3, c_g, s3)), introduced(assumption)).
% 80.49/52.80 tff(31294,plain,
% 80.49/52.80 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31295,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31296,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_d, s2)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31295, 31294])).
% 80.49/52.80 tff(31297,plain,
% 80.49/52.80 (~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31296, 2501, 1117])).
% 80.49/52.80 tff(31298,assumption,(~m_or_h_gate_v_in2(c_e_h_3, c_g, s2)), introduced(assumption)).
% 80.49/52.80 tff(31299,plain,
% 80.49/52.80 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31300,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31301,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_g, X)) | m_and_h_gate_v_out(I0, c_c, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_g, s2)) | m_and_h_gate_v_out(c_e_h_3, c_c, s2)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31300, 31299])).
% 80.49/52.80 tff(31302,plain,
% 80.49/52.80 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s2)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31301, 2486, 16697])).
% 80.49/52.80 tff(31303,assumption,(node5(c_e_h_3, c_g, s2, s3)), introduced(assumption)).
% 80.49/52.80 tff(31304,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31305,plain,
% 80.49/52.80 ((m_or_h_gate_v_in1(c_e_h_3, c_g, s2) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3))) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31306,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s2) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2)))),
% 80.49/52.80 inference(monotonicity,[status(thm)],[31305])).
% 80.49/52.80 tff(31307,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s2) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2))),
% 80.49/52.80 inference(transitivity,[status(thm)],[31306, 31304])).
% 80.49/52.80 tff(31308,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_g, s2) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31309,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2) | (~node5(c_e_h_3, c_g, s2, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s2)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31308, 31307])).
% 80.49/52.80 tff(31310,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31309, 1888, 31303, 31293, 31302, 31298])).
% 80.49/52.80 tff(31311,plain,((~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_in2(c_e_h_3, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31312,plain,
% 80.49/52.80 ((~node5(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3))),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31311, 31297])).
% 80.49/52.80 tff(31313,plain,
% 80.49/52.80 (~node5(c_e_h_3, c_g, s2, s3)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31312, 31293])).
% 80.49/52.80 tff(31314,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_g, s2)), introduced(assumption)).
% 80.49/52.80 tff(31315,assumption,(node6(c_e_h_3, c_g, s2, s3)), introduced(assumption)).
% 80.49/52.80 tff(31316,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31317,plain,
% 80.49/52.80 (((~node6(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2)) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31318,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3))))),
% 80.49/52.80 inference(monotonicity,[status(thm)],[31317])).
% 80.49/52.80 tff(31319,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3)))),
% 80.49/52.80 inference(transitivity,[status(thm)],[31318, 31316])).
% 80.49/52.80 tff(31320,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31321,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2) | (~node6(c_e_h_3, c_g, s2, s3))),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 80.49/52.80 tff(31322,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31321, 1851, 31315, 31293, 31314])).
% 80.49/52.80 tff(31323,plain,((~node6(c_e_h_3, c_g, s2, s3)) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31324,plain,
% 80.49/52.80 (~node6(c_e_h_3, c_g, s2, s3)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31323, 31293, 31314])).
% 80.49/52.80 tff(31325,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31326,plain,
% 80.49/52.80 ((node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31327,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3)))),
% 80.49/52.80 inference(monotonicity,[status(thm)],[31326])).
% 80.49/52.80 tff(31328,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3))),
% 80.49/52.80 inference(transitivity,[status(thm)],[31327, 31325])).
% 80.49/52.80 tff(31329,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3) | (~trans(s2, s3)))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31330,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s2, s3)) | node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 80.49/52.80 tff(31331,plain,
% 80.49/52.80 (node6(c_e_h_3, c_g, s2, s3) | node5(c_e_h_3, c_g, s2, s3)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31330, 1870, 463])).
% 80.49/52.80 tff(31332,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31331, 31324, 31313])).
% 80.49/52.80 tff(31333,plain,((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_or_h_gate_v_out(c_e_h_3, c_g, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31334,plain,
% 80.49/52.80 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31333, 31292])).
% 80.49/52.80 tff(31335,plain,
% 80.49/52.80 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s2))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s2))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31336,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s2))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31337,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31336, 31335])).
% 80.49/52.80 tff(31338,plain,
% 80.49/52.80 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31337, 13754, 31334])).
% 80.49/52.80 tff(31339,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)), introduced(assumption)).
% 80.49/52.80 tff(31340,plain,
% 80.49/52.80 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s3))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31341,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | ((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s3))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31342,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_and_h_gate_v_in1(I0, c_k, X))) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s3)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 80.49/52.80 tff(31343,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31342, 13754, 31293, 31339])).
% 80.49/52.80 tff(31344,plain,((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_k, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31345,plain,
% 80.49/52.80 (m_and_h_gate_v_in1(c_e_h_3, c_k, s3)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31344, 31292])).
% 80.49/52.80 tff(31346,plain,
% 80.49/52.80 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s6))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31347,plain,
% 80.49/52.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s6))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31348,plain,
% 80.49/52.80 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_i, s6)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 80.49/52.80 tff(31349,plain,
% 80.49/52.80 (m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31348, 334, 30573])).
% 80.49/52.80 tff(31350,plain,
% 80.49/52.80 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_i, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_3, c_i, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31351,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_i, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31352,plain,
% 80.49/52.80 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_3, c_i, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s6))),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31351, 31350])).
% 80.49/52.80 tff(31353,plain,
% 80.49/52.80 (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31352, 6608, 31349])).
% 80.49/52.80 tff(31354,assumption,(~node4(c_e_h_3, c_j, s5)), introduced(assumption)).
% 80.49/52.80 tff(31355,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_j, s6)), introduced(assumption)).
% 80.49/52.80 tff(31356,assumption,(node5(c_e_h_3, c_j, s5, s6)), introduced(assumption)).
% 80.49/52.80 tff(31357,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31358,plain,
% 80.49/52.80 ((node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31359,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6))))),
% 80.49/52.80 inference(monotonicity,[status(thm)],[31358])).
% 80.49/52.80 tff(31360,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(transitivity,[status(thm)],[31359, 31357])).
% 80.49/52.80 tff(31361,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31362,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5) | (~node5(c_e_h_3, c_j, s5, s6))),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31361, 31360])).
% 80.49/52.80 tff(31363,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31362, 6671, 31355, 31356, 31354])).
% 80.49/52.80 tff(31364,plain,((~node5(c_e_h_3, c_j, s5, s6)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | node4(c_e_h_3, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31365,plain,
% 80.49/52.80 (~node5(c_e_h_3, c_j, s5, s6)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31364, 31355, 31354])).
% 80.49/52.80 tff(31366,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s5)), introduced(assumption)).
% 80.49/52.80 tff(31367,assumption,(node6(c_e_h_3, c_j, s5, s6)), introduced(assumption)).
% 80.49/52.80 tff(31368,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31369,plain,
% 80.49/52.80 ((m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~node6(c_e_h_3, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5))) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31370,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~node6(c_e_h_3, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6))))),
% 80.49/52.80 inference(monotonicity,[status(thm)],[31369])).
% 80.49/52.80 tff(31371,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~node6(c_e_h_3, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.80 inference(transitivity,[status(thm)],[31370, 31368])).
% 80.49/52.80 tff(31372,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~node6(c_e_h_3, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))),
% 80.49/52.80 inference(quant_inst,[status(thm)],[])).
% 80.49/52.80 tff(31373,plain,
% 80.49/52.80 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s5, s6))),
% 80.49/52.80 inference(modus_ponens,[status(thm)],[31372, 31371])).
% 80.49/52.80 tff(31374,plain,
% 80.49/52.80 ($false),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31373, 6691, 31366, 31355, 31367])).
% 80.49/52.80 tff(31375,plain,((~node6(c_e_h_3, c_j, s5, s6)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s6)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.80 tff(31376,plain,
% 80.49/52.80 (~node6(c_e_h_3, c_j, s5, s6)),
% 80.49/52.80 inference(unit_resolution,[status(thm)],[31375, 31355, 31366])).
% 80.49/52.80 tff(31377,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31378,plain,
% 80.49/52.80 ((node6(c_e_h_3, c_j, s5, s6) | node5(c_e_h_3, c_j, s5, s6) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6))),
% 80.49/52.80 inference(rewrite,[status(thm)],[])).
% 80.49/52.80 tff(31379,plain,
% 80.49/52.80 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s5, s6) | node5(c_e_h_3, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6)))),
% 80.49/52.81 inference(monotonicity,[status(thm)],[31378])).
% 80.49/52.81 tff(31380,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s5, s6) | node5(c_e_h_3, c_j, s5, s6) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6))),
% 80.49/52.81 inference(transitivity,[status(thm)],[31379, 31377])).
% 80.49/52.81 tff(31381,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s5, s6) | node5(c_e_h_3, c_j, s5, s6) | (~trans(s5, s6)))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31382,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s5, s6)) | node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 80.49/52.81 tff(31383,plain,
% 80.49/52.81 (node5(c_e_h_3, c_j, s5, s6) | node6(c_e_h_3, c_j, s5, s6)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31382, 1870, 1343])).
% 80.49/52.81 tff(31384,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31383, 31376, 31365])).
% 80.49/52.81 tff(31385,plain,(m_or_h_gate_v_out(c_e_h_3, c_j, s6) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | node4(c_e_h_3, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31386,plain,
% 80.49/52.81 (node4(c_e_h_3, c_j, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31385, 30666, 31353])).
% 80.49/52.81 tff(31387,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s5)), introduced(assumption)).
% 80.49/52.81 tff(31388,plain,
% 80.49/52.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s5))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31389,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s5))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31390,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s5)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31389, 31388])).
% 80.49/52.81 tff(31391,plain,
% 80.49/52.81 (m_or_h_gate_v_in1(c_e_h_3, c_j, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31390, 30351, 31387])).
% 80.49/52.81 tff(31392,assumption,(node4(c_e_h_3, c_j, s5)), introduced(assumption)).
% 80.49/52.81 tff(31393,plain,
% 80.49/52.81 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s5)) | (~node4(c_e_h_3, c_j, s5)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s5)) | (~node4(c_e_h_3, c_j, s5)))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31394,plain,
% 80.49/52.81 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s5)) | (~node4(c_e_h_3, c_j, s5)))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31395,plain,
% 80.49/52.81 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s5)) | (~node4(c_e_h_3, c_j, s5))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31394, 31393])).
% 80.49/52.81 tff(31396,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31395, 6717, 31392, 31391])).
% 80.49/52.81 tff(31397,plain,((~node4(c_e_h_3, c_j, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s5))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31398,plain,
% 80.49/52.81 (~m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31397, 31386])).
% 80.49/52.81 tff(31399,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s4)), introduced(assumption)).
% 80.49/52.81 tff(31400,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_k, s3)), introduced(assumption)).
% 80.49/52.81 tff(31401,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_l, s5)), introduced(assumption)).
% 80.49/52.81 tff(31402,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_l, s4)), introduced(assumption)).
% 80.49/52.81 tff(31403,assumption,(~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)), introduced(assumption)).
% 80.49/52.81 tff(31404,plain,
% 80.49/52.81 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X)) <=> ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X)))),
% 80.49/52.81 inference(bind,[status(th)],[])).
% 80.49/52.81 tff(31405,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(quant_intro,[status(thm)],[31404])).
% 80.49/52.81 tff(31406,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31407,plain,
% 80.49/52.81 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in2(I0, c_l, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X)))),
% 80.49/52.81 inference(bind,[status(th)],[])).
% 80.49/52.81 tff(31408,plain,
% 80.49/52.81 (![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_l, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(quant_intro,[status(thm)],[31407])).
% 80.49/52.81 tff(31409,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_l, X) | (~m_and_h_gate_h_init_v_out(I0, c_m, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_49')).
% 80.49/52.81 tff(31410,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31409, 31408])).
% 80.49/52.81 tff(31411,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31410, 31406])).
% 80.49/52.81 tff(31412,plain,(
% 80.49/52.81 ![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(skolemize,[status(sab)],[31411])).
% 80.49/52.81 tff(31413,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31412, 31405])).
% 80.49/52.81 tff(31414,plain,
% 80.49/52.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s4))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31415,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s4))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31416,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s4)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s4)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 80.49/52.81 tff(31417,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31416, 31413, 1277, 31403])).
% 80.49/52.81 tff(31418,plain,(m_and_h_gate_v_in2(c_e_h_3, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31419,assumption,(node22(c_e_h_3, c_l, s4, s5)), introduced(assumption)).
% 80.49/52.81 tff(31420,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31421,plain,
% 80.49/52.81 ((m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~node22(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31422,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~node22(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)))),
% 80.49/52.81 inference(monotonicity,[status(thm)],[31421])).
% 80.49/52.81 tff(31423,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~node22(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))),
% 80.49/52.81 inference(transitivity,[status(thm)],[31422, 31420])).
% 80.49/52.81 tff(31424,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~node22(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31425,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31424, 31423])).
% 80.49/52.81 tff(31426,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31425, 6905, 31419, 31399, 31401])).
% 80.49/52.81 tff(31427,plain,((~node22(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31428,plain,
% 80.49/52.81 (~node22(c_e_h_3, c_l, s4, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31427, 31401, 31399])).
% 80.49/52.81 tff(31429,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_l, s4, s5) | node22(c_e_h_3, c_l, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_l, s4, s5) | node22(c_e_h_3, c_l, s4, s5))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31430,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_l, s4, s5) | node22(c_e_h_3, c_l, s4, s5))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31431,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_l, s4, s5) | node22(c_e_h_3, c_l, s4, s5)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31430, 31429])).
% 80.49/52.81 tff(31432,plain,
% 80.49/52.81 (node21(c_e_h_3, c_l, s4, s5) | node22(c_e_h_3, c_l, s4, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31431, 383, 930])).
% 80.49/52.81 tff(31433,plain,
% 80.49/52.81 (node21(c_e_h_3, c_l, s4, s5)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31432, 31428])).
% 80.49/52.81 tff(31434,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5)))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31435,plain,
% 80.49/52.81 (((~node21(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)) <=> ((~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5)))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31436,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5))))),
% 80.49/52.81 inference(monotonicity,[status(thm)],[31435])).
% 80.49/52.81 tff(31437,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5)))),
% 80.49/52.81 inference(transitivity,[status(thm)],[31436, 31434])).
% 80.49/52.81 tff(31438,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31439,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s4, s5))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 80.49/52.81 tff(31440,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31439, 7190, 31433, 31401, 31418, 31402])).
% 80.49/52.81 tff(31441,plain,(m_and_h_gate_v_out(c_e_h_3, c_l, s5) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31442,plain,
% 80.49/52.81 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31441, 31399, 31401])).
% 80.49/52.81 tff(31443,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_l, s4)), introduced(assumption)).
% 80.49/52.81 tff(31444,assumption,(m_and_h_gate_v_out(c_e_h_3, c_k, s4)), introduced(assumption)).
% 80.49/52.81 tff(31445,plain,
% 80.49/52.81 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X)) <=> ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X)))),
% 80.49/52.81 inference(bind,[status(th)],[])).
% 80.49/52.81 tff(31446,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(quant_intro,[status(thm)],[31445])).
% 80.49/52.81 tff(31447,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31448,plain,
% 80.49/52.81 (^[I0: $i, X: $i] : rewrite((m_and_h_gate_v_in1(I0, c_l, X) | (~m_and_h_gate_v_out(I0, c_k, X))) <=> ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X)))),
% 80.49/52.81 inference(bind,[status(th)],[])).
% 80.49/52.81 tff(31449,plain,
% 80.49/52.81 (![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_l, X) | (~m_and_h_gate_v_out(I0, c_k, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(quant_intro,[status(thm)],[31448])).
% 80.49/52.81 tff(31450,axiom,(![I0: $i, X: $i] : (m_and_h_gate_v_in1(I0, c_l, X) | (~m_and_h_gate_v_out(I0, c_k, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_47')).
% 80.49/52.81 tff(31451,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31450, 31449])).
% 80.49/52.81 tff(31452,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31451, 31447])).
% 80.49/52.81 tff(31453,plain,(
% 80.49/52.81 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(skolemize,[status(sab)],[31452])).
% 80.49/52.81 tff(31454,plain,
% 80.49/52.81 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31453, 31446])).
% 80.49/52.81 tff(31455,plain,
% 80.49/52.81 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s4))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31456,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s4))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31457,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s4)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 80.49/52.81 tff(31458,plain,
% 80.49/52.81 ($false),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31457, 31454, 31444, 31443])).
% 80.49/52.81 tff(31459,plain,(m_and_h_gate_v_in1(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s4))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.81 tff(31460,plain,
% 80.49/52.81 (~m_and_h_gate_v_out(c_e_h_3, c_k, s4)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31459, 31442])).
% 80.49/52.81 tff(31461,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_k, s4)), introduced(assumption)).
% 80.49/52.81 tff(31462,plain,
% 80.49/52.81 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_k, s3) | m_c_h_element_v_out(c_e_h_3, c_h, s3))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_3, c_k, s3) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31463,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_k, s3) | m_c_h_element_v_out(c_e_h_3, c_h, s3))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31464,plain,
% 80.49/52.81 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_3, c_k, s3) | m_c_h_element_v_out(c_e_h_3, c_h, s3)),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31463, 31462])).
% 80.49/52.81 tff(31465,plain,
% 80.49/52.81 (m_and_h_gate_v_in2(c_e_h_3, c_k, s3) | m_c_h_element_v_out(c_e_h_3, c_h, s3)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31464, 13726])).
% 80.49/52.81 tff(31466,plain,
% 80.49/52.81 (m_and_h_gate_v_in2(c_e_h_3, c_k, s3)),
% 80.49/52.81 inference(unit_resolution,[status(thm)],[31465, 2214])).
% 80.49/52.81 tff(31467,assumption,(node21(c_e_h_3, c_k, s3, s4)), introduced(assumption)).
% 80.49/52.81 tff(31468,assumption,(m_and_h_gate_v_in2(c_e_h_3, c_k, s3)), introduced(assumption)).
% 80.49/52.81 tff(31469,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31470,plain,
% 80.49/52.81 (((~node21(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4)) <=> ((~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.81 inference(rewrite,[status(thm)],[])).
% 80.49/52.81 tff(31471,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4))))),
% 80.49/52.81 inference(monotonicity,[status(thm)],[31470])).
% 80.49/52.81 tff(31472,plain,
% 80.49/52.81 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.81 inference(transitivity,[status(thm)],[31471, 31469])).
% 80.49/52.81 tff(31473,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4))),
% 80.49/52.81 inference(quant_inst,[status(thm)],[])).
% 80.49/52.81 tff(31474,plain,
% 80.49/52.81 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node21(c_e_h_3, c_k, s3, s4))),
% 80.49/52.81 inference(modus_ponens,[status(thm)],[31473, 31472])).
% 80.49/52.81 tff(31475,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31474, 7190, 31468, 31467, 31461, 31400])).
% 80.49/52.82 tff(31476,plain,((~node21(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31477,plain,
% 80.49/52.82 ((~node21(c_e_h_3, c_k, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3))),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31476, 31466])).
% 80.49/52.82 tff(31478,plain,
% 80.49/52.82 (~node21(c_e_h_3, c_k, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31477, 31461, 31400])).
% 80.49/52.82 tff(31479,assumption,(m_and_h_gate_v_out(c_e_h_3, c_k, s3)), introduced(assumption)).
% 80.49/52.82 tff(31480,assumption,(node22(c_e_h_3, c_k, s3, s4)), introduced(assumption)).
% 80.49/52.82 tff(31481,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31482,plain,
% 80.49/52.82 ((m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31483,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4))))),
% 80.49/52.82 inference(monotonicity,[status(thm)],[31482])).
% 80.49/52.82 tff(31484,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)))),
% 80.49/52.82 inference(transitivity,[status(thm)],[31483, 31481])).
% 80.49/52.82 tff(31485,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31486,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~node22(c_e_h_3, c_k, s3, s4))),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 80.49/52.82 tff(31487,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31486, 6905, 31480, 31479, 31461])).
% 80.49/52.82 tff(31488,plain,((~node22(c_e_h_3, c_k, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31489,plain,
% 80.49/52.82 (~node22(c_e_h_3, c_k, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31488, 31461, 31479])).
% 80.49/52.82 tff(31490,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_k, s3, s4) | node22(c_e_h_3, c_k, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_k, s3, s4) | node22(c_e_h_3, c_k, s3, s4))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31491,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_k, s3, s4) | node22(c_e_h_3, c_k, s3, s4))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31492,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_k, s3, s4) | node22(c_e_h_3, c_k, s3, s4)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31491, 31490])).
% 80.49/52.82 tff(31493,plain,
% 80.49/52.82 (node21(c_e_h_3, c_k, s3, s4) | node22(c_e_h_3, c_k, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31492, 383, 711])).
% 80.49/52.82 tff(31494,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31493, 31489, 31478])).
% 80.49/52.82 tff(31495,plain,(m_and_h_gate_v_out(c_e_h_3, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31496,plain,
% 80.49/52.82 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31495, 31460, 31400])).
% 80.49/52.82 tff(31497,plain,
% 80.49/52.82 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31498,plain,
% 80.49/52.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31499,plain,
% 80.49/52.82 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 80.49/52.82 tff(31500,plain,
% 80.49/52.82 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31499, 2031, 31496])).
% 80.49/52.82 tff(31501,plain,
% 80.49/52.82 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31502,plain,
% 80.49/52.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31503,plain,
% 80.49/52.82 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31502, 31501])).
% 80.49/52.82 tff(31504,plain,
% 80.49/52.82 (~node20(c_e_h_3, c_l, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31503, 22, 31500])).
% 80.49/52.82 tff(31505,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_l, s3)), introduced(assumption)).
% 80.49/52.82 tff(31506,assumption,(node22(c_e_h_3, c_l, s3, s4)), introduced(assumption)).
% 80.49/52.82 tff(31507,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31508,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31509,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node22(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 80.49/52.82 tff(31510,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31509, 437, 31506, 31505, 31399])).
% 80.49/52.82 tff(31511,plain,((~node22(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31512,plain,
% 80.49/52.82 (~node22(c_e_h_3, c_l, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31511, 31399, 31505])).
% 80.49/52.82 tff(31513,assumption,(~node20(c_e_h_3, c_l, s3)), introduced(assumption)).
% 80.49/52.82 tff(31514,assumption,(node21(c_e_h_3, c_l, s3, s4)), introduced(assumption)).
% 80.49/52.82 tff(31515,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31516,plain,
% 80.49/52.82 ((node20(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s3, s4))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31517,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4))))),
% 80.49/52.82 inference(monotonicity,[status(thm)],[31516])).
% 80.49/52.82 tff(31518,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.49/52.82 inference(transitivity,[status(thm)],[31517, 31515])).
% 80.49/52.82 tff(31519,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31520,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | (~node21(c_e_h_3, c_l, s3, s4))),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31519, 31518])).
% 80.49/52.82 tff(31521,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31520, 348, 31514, 31399, 31513])).
% 80.49/52.82 tff(31522,plain,((~node21(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31523,plain,
% 80.49/52.82 (~node21(c_e_h_3, c_l, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31522, 31399, 31513])).
% 80.49/52.82 tff(31524,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_l, s3, s4) | node22(c_e_h_3, c_l, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_l, s3, s4) | node22(c_e_h_3, c_l, s3, s4))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31525,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s3, s4)) | node21(c_e_h_3, c_l, s3, s4) | node22(c_e_h_3, c_l, s3, s4))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31526,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s3, s4)) | node21(c_e_h_3, c_l, s3, s4) | node22(c_e_h_3, c_l, s3, s4)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31525, 31524])).
% 80.49/52.82 tff(31527,plain,
% 80.49/52.82 (node21(c_e_h_3, c_l, s3, s4) | node22(c_e_h_3, c_l, s3, s4)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31526, 383, 711])).
% 80.49/52.82 tff(31528,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31527, 31523, 31512])).
% 80.49/52.82 tff(31529,plain,((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | node20(c_e_h_3, c_l, s3) | m_and_h_gate_v_out(c_e_h_3, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31530,plain,
% 80.49/52.82 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31529, 31504, 31399])).
% 80.49/52.82 tff(31531,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_k, s2)), introduced(assumption)).
% 80.49/52.82 tff(31532,assumption,(node21(c_e_h_3, c_k, s2, s3)), introduced(assumption)).
% 80.49/52.82 tff(31533,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_k, s3)), introduced(assumption)).
% 80.49/52.82 tff(31534,plain,
% 80.49/52.82 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_k, s2) | m_c_h_element_v_out(c_e_h_3, c_h, s2))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_3, c_k, s2) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31535,plain,
% 80.49/52.82 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_k, s2) | m_c_h_element_v_out(c_e_h_3, c_h, s2))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31536,plain,
% 80.49/52.82 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_k, X) | m_c_h_element_v_out(I0, c_h, X))) | m_and_h_gate_v_in2(c_e_h_3, c_k, s2) | m_c_h_element_v_out(c_e_h_3, c_h, s2)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31535, 31534])).
% 80.49/52.82 tff(31537,plain,
% 80.49/52.82 (m_and_h_gate_v_in2(c_e_h_3, c_k, s2) | m_c_h_element_v_out(c_e_h_3, c_h, s2)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31536, 13726])).
% 80.49/52.82 tff(31538,plain,
% 80.49/52.82 (m_and_h_gate_v_in2(c_e_h_3, c_k, s2)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31537, 1964])).
% 80.49/52.82 tff(31539,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31540,plain,
% 80.49/52.82 (((~node21(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3)) <=> ((~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3)))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31541,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3))))),
% 80.49/52.82 inference(monotonicity,[status(thm)],[31540])).
% 80.49/52.82 tff(31542,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3)))),
% 80.49/52.82 inference(transitivity,[status(thm)],[31541, 31539])).
% 80.49/52.82 tff(31543,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31544,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node21(c_e_h_3, c_k, s2, s3))),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31543, 31542])).
% 80.49/52.82 tff(31545,plain,
% 80.49/52.82 ($false),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31544, 7190, 31538, 31533, 31532, 31531])).
% 80.49/52.82 tff(31546,plain,((~node21(c_e_h_3, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.82 tff(31547,plain,
% 80.49/52.82 (~node21(c_e_h_3, c_k, s2, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31546, 31496, 31531])).
% 80.49/52.82 tff(31548,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_k, s2, s3) | node22(c_e_h_3, c_k, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_k, s2, s3) | node22(c_e_h_3, c_k, s2, s3))),
% 80.49/52.82 inference(rewrite,[status(thm)],[])).
% 80.49/52.82 tff(31549,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_k, s2, s3) | node22(c_e_h_3, c_k, s2, s3))),
% 80.49/52.82 inference(quant_inst,[status(thm)],[])).
% 80.49/52.82 tff(31550,plain,
% 80.49/52.82 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_k, s2, s3) | node22(c_e_h_3, c_k, s2, s3)),
% 80.49/52.82 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 80.49/52.82 tff(31551,plain,
% 80.49/52.82 (node21(c_e_h_3, c_k, s2, s3) | node22(c_e_h_3, c_k, s2, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31550, 383, 463])).
% 80.49/52.82 tff(31552,plain,
% 80.49/52.82 (node22(c_e_h_3, c_k, s2, s3)),
% 80.49/52.82 inference(unit_resolution,[status(thm)],[31551, 31547])).
% 80.49/52.82 tff(31553,assumption,(m_and_h_gate_v_out(c_e_h_3, c_k, s2)), introduced(assumption)).
% 80.49/52.82 tff(31554,assumption,(node22(c_e_h_3, c_k, s2, s3)), introduced(assumption)).
% 80.49/52.82 tff(31555,plain,
% 80.49/52.82 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node22(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node22(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31556,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node22(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31557,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~node22(c_e_h_3, c_k, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2))),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 80.49/52.83 tff(31558,plain,
% 80.49/52.83 ($false),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31557, 6905, 31533, 31554, 31553])).
% 80.49/52.83 tff(31559,plain,((~node22(c_e_h_3, c_k, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2))), inference(lemma,lemma(discharge,[]))).
% 80.49/52.83 tff(31560,plain,
% 80.49/52.83 (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31559, 31552, 31496])).
% 80.49/52.83 tff(31561,plain,
% 80.49/52.83 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s2))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31562,plain,
% 80.49/52.83 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s2))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31563,plain,
% 80.49/52.83 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_l, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)) | m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 80.49/52.83 tff(31564,plain,
% 80.49/52.83 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31563, 2031, 31560])).
% 80.49/52.83 tff(31565,plain,
% 80.49/52.83 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s2))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s2))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31566,plain,
% 80.49/52.83 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_l, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s2))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31567,plain,
% 80.49/52.83 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_l, s2)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31566, 31565])).
% 80.49/52.83 tff(31568,plain,
% 80.49/52.83 (~node20(c_e_h_3, c_l, s2)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31567, 22, 31564])).
% 80.49/52.83 tff(31569,assumption,(~node20(c_e_h_3, c_l, s2)), introduced(assumption)).
% 80.49/52.83 tff(31570,assumption,(node21(c_e_h_3, c_l, s2, s3)), introduced(assumption)).
% 80.49/52.83 tff(31571,assumption,(m_and_h_gate_v_out(c_e_h_3, c_l, s3)), introduced(assumption)).
% 80.49/52.83 tff(31572,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3)))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31573,plain,
% 80.49/52.83 ((node20(c_e_h_3, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s2, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3)))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31574,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3))))),
% 80.49/52.83 inference(monotonicity,[status(thm)],[31573])).
% 80.49/52.83 tff(31575,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3)))),
% 80.49/52.83 inference(transitivity,[status(thm)],[31574, 31572])).
% 80.49/52.83 tff(31576,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_l, s2) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s2, s3)))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31577,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2) | (~node21(c_e_h_3, c_l, s2, s3))),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 80.49/52.83 tff(31578,plain,
% 80.49/52.83 ($false),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31577, 348, 31571, 31570, 31569])).
% 80.49/52.83 tff(31579,plain,((~node21(c_e_h_3, c_l, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | node20(c_e_h_3, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.83 tff(31580,plain,
% 80.49/52.83 (~node21(c_e_h_3, c_l, s2, s3)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31579, 31568, 31530])).
% 80.49/52.83 tff(31581,assumption,(node22(c_e_h_3, c_l, s2, s3)), introduced(assumption)).
% 80.49/52.83 tff(31582,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31583,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31584,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s2, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2)),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 80.49/52.83 tff(31585,plain,
% 80.49/52.83 ($false),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31584, 437, 31571, 31581, 29877])).
% 80.49/52.83 tff(31586,plain,((~node22(c_e_h_3, c_l, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s2)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.83 tff(31587,plain,
% 80.49/52.83 ((~node22(c_e_h_3, c_l, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3))),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31586, 29875])).
% 80.49/52.83 tff(31588,plain,
% 80.49/52.83 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31587, 31530])).
% 80.49/52.83 tff(31589,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_l, s2, s3) | node22(c_e_h_3, c_l, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_l, s2, s3) | node22(c_e_h_3, c_l, s2, s3))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31590,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s2, s3)) | node21(c_e_h_3, c_l, s2, s3) | node22(c_e_h_3, c_l, s2, s3))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31591,plain,
% 80.49/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s2, s3)) | node21(c_e_h_3, c_l, s2, s3) | node22(c_e_h_3, c_l, s2, s3)),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 80.49/52.83 tff(31592,plain,
% 80.49/52.83 (node21(c_e_h_3, c_l, s2, s3) | node22(c_e_h_3, c_l, s2, s3)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31591, 383, 463])).
% 80.49/52.83 tff(31593,plain,
% 80.49/52.83 ($false),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31592, 31588, 31580])).
% 80.49/52.83 tff(31594,plain,((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.83 tff(31595,plain,
% 80.49/52.83 (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31594, 31398, 31345, 31338])).
% 80.49/52.83 tff(31596,assumption,(m_or_h_gate_v_in1(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.49/52.83 tff(31597,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_l, s4)), introduced(assumption)).
% 80.49/52.83 tff(31598,plain,
% 80.49/52.83 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31599,plain,
% 80.49/52.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))),
% 80.49/52.83 inference(quant_inst,[status(thm)],[])).
% 80.49/52.83 tff(31600,plain,
% 80.49/52.83 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.49/52.83 inference(modus_ponens,[status(thm)],[31599, 31598])).
% 80.49/52.83 tff(31601,plain,
% 80.49/52.83 ($false),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31600, 1835, 31597, 31596])).
% 80.49/52.83 tff(31602,plain,((~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 80.49/52.83 tff(31603,plain,
% 80.49/52.83 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.49/52.83 inference(unit_resolution,[status(thm)],[31602, 31595])).
% 80.49/52.83 tff(31604,assumption,(~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.49/52.83 tff(31605,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.49/52.83 tff(31606,assumption,(node6(c_e_h_3, c_j, s4, s5)), introduced(assumption)).
% 80.49/52.83 tff(31607,plain,
% 80.49/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.49/52.83 inference(rewrite,[status(thm)],[])).
% 80.49/52.83 tff(31608,plain,
% 80.49/52.83 (((~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.83 inference(rewrite,[status(thm)],[])).
% 80.57/52.83 tff(31609,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5))))),
% 80.57/52.83 inference(monotonicity,[status(thm)],[31608])).
% 80.57/52.83 tff(31610,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.83 inference(transitivity,[status(thm)],[31609, 31607])).
% 80.57/52.83 tff(31611,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))),
% 80.57/52.83 inference(quant_inst,[status(thm)],[])).
% 80.57/52.83 tff(31612,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node6(c_e_h_3, c_j, s4, s5))),
% 80.57/52.83 inference(modus_ponens,[status(thm)],[31611, 31610])).
% 80.57/52.83 tff(31613,plain,
% 80.57/52.83 ($false),
% 80.57/52.83 inference(unit_resolution,[status(thm)],[31612, 1851, 31605, 31366, 31606])).
% 80.57/52.83 tff(31614,plain,((~node6(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.83 tff(31615,plain,
% 80.57/52.83 (~node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.83 inference(unit_resolution,[status(thm)],[31614, 31366, 31605])).
% 80.57/52.83 tff(31616,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5))),
% 80.57/52.83 inference(rewrite,[status(thm)],[])).
% 80.57/52.83 tff(31617,plain,
% 80.57/52.83 ((node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5))),
% 80.57/52.83 inference(rewrite,[status(thm)],[])).
% 80.57/52.83 tff(31618,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.83 inference(monotonicity,[status(thm)],[31617])).
% 80.57/52.83 tff(31619,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5))),
% 80.57/52.83 inference(transitivity,[status(thm)],[31618, 31616])).
% 80.57/52.83 tff(31620,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5) | (~trans(s4, s5)))),
% 80.57/52.83 inference(quant_inst,[status(thm)],[])).
% 80.57/52.83 tff(31621,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s4, s5)) | node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.83 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 80.57/52.83 tff(31622,plain,
% 80.57/52.83 (node6(c_e_h_3, c_j, s4, s5) | node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.83 inference(unit_resolution,[status(thm)],[31621, 1870, 930])).
% 80.57/52.83 tff(31623,plain,
% 80.57/52.83 (node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.83 inference(unit_resolution,[status(thm)],[31622, 31615])).
% 80.57/52.83 tff(31624,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))),
% 80.57/52.83 inference(rewrite,[status(thm)],[])).
% 80.57/52.83 tff(31625,plain,
% 80.57/52.83 ((m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5))) <=> (m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))),
% 80.57/52.83 inference(rewrite,[status(thm)],[])).
% 80.57/52.83 tff(31626,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4)))),
% 80.57/52.83 inference(monotonicity,[status(thm)],[31625])).
% 80.57/52.83 tff(31627,plain,
% 80.57/52.83 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))),
% 80.57/52.83 inference(transitivity,[status(thm)],[31626, 31624])).
% 80.57/52.83 tff(31628,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))),
% 80.57/52.83 inference(quant_inst,[status(thm)],[])).
% 80.57/52.83 tff(31629,plain,
% 80.57/52.83 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.83 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 80.57/52.83 tff(31630,plain,
% 80.57/52.83 ($false),
% 80.57/52.83 inference(unit_resolution,[status(thm)],[31629, 1888, 31366, 31623, 30462, 31604])).
% 80.57/52.83 tff(31631,plain,((~m_or_h_gate_v_out(c_e_h_3, c_j, s5)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | m_or_h_gate_v_out(c_e_h_3, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31632,plain,
% 80.57/52.84 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31631, 31603, 30462, 30666])).
% 80.57/52.84 tff(31633,assumption,(~m_or_h_gate_v_in1(c_e_h_3, c_j, s2)), introduced(assumption)).
% 80.57/52.84 tff(31634,assumption,(m_or_h_gate_v_out(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.57/52.84 tff(31635,plain,
% 80.57/52.84 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31636,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31637,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 80.57/52.84 tff(31638,plain,
% 80.57/52.84 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31637, 1835, 31505])).
% 80.57/52.84 tff(31639,assumption,(~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)), introduced(assumption)).
% 80.57/52.84 tff(31640,assumption,(node5(c_e_h_3, c_j, s3, s4)), introduced(assumption)).
% 80.57/52.84 tff(31641,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31642,plain,
% 80.57/52.84 ((m_or_h_gate_v_in1(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31643,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | ((~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3)))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31642])).
% 80.57/52.84 tff(31644,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))),
% 80.57/52.84 inference(transitivity,[status(thm)],[31643, 31641])).
% 80.57/52.84 tff(31645,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31646,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31645, 31644])).
% 80.57/52.84 tff(31647,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31646, 1888, 31634, 31640, 31639, 30463])).
% 80.57/52.84 tff(31648,plain,((~node5(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31649,plain,
% 80.57/52.84 (~node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31648, 31638, 30463, 31634])).
% 80.57/52.84 tff(31650,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31651,plain,
% 80.57/52.84 ((node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31652,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31651])).
% 80.57/52.84 tff(31653,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4))),
% 80.57/52.84 inference(transitivity,[status(thm)],[31652, 31650])).
% 80.57/52.84 tff(31654,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4) | (~trans(s3, s4)))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31655,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s3, s4)) | node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31654, 31653])).
% 80.57/52.84 tff(31656,plain,
% 80.57/52.84 (node6(c_e_h_3, c_j, s3, s4) | node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31655, 1870, 711])).
% 80.57/52.84 tff(31657,plain,
% 80.57/52.84 (node6(c_e_h_3, c_j, s3, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31656, 31649])).
% 80.57/52.84 tff(31658,assumption,(node6(c_e_h_3, c_j, s3, s4)), introduced(assumption)).
% 80.57/52.84 tff(31659,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31660,plain,
% 80.57/52.84 (((~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31661,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4))))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31660])).
% 80.57/52.84 tff(31662,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.84 inference(transitivity,[status(thm)],[31661, 31659])).
% 80.57/52.84 tff(31663,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31664,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_3, c_j, s3) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s3, s4))),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 80.57/52.84 tff(31665,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31664, 1851, 31634, 31658, 29915])).
% 80.57/52.84 tff(31666,plain,((~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31667,plain,
% 80.57/52.84 (m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31666, 31657, 31634])).
% 80.57/52.84 tff(31668,plain,
% 80.57/52.84 (~node6(c_e_h_3, c_j, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[29895, 31667])).
% 80.57/52.84 tff(31669,plain,
% 80.57/52.84 (node5(c_e_h_3, c_j, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[29903, 31668])).
% 80.57/52.84 tff(31670,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[29910, 1888, 31669, 31667, 29814, 31633])).
% 80.57/52.84 tff(31671,plain,(m_or_h_gate_v_in1(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_and_h_gate_v_out(c_e_h_3, c_l, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31672,plain,
% 80.57/52.84 (m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31671, 29883])).
% 80.57/52.84 tff(31673,plain,
% 80.57/52.84 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31672, 31632, 30463, 29814])).
% 80.57/52.84 tff(31674,plain,
% 80.57/52.84 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31587, 31673])).
% 80.57/52.84 tff(31675,plain,
% 80.57/52.84 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31592, 31674])).
% 80.57/52.84 tff(31676,plain,
% 80.57/52.84 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31579, 31675, 31673])).
% 80.57/52.84 tff(31677,plain,
% 80.57/52.84 (m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31567, 22, 31676])).
% 80.57/52.84 tff(31678,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31679,plain,
% 80.57/52.84 ((m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~node22(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3))) <=> (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31680,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~node22(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4))))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31679])).
% 80.57/52.84 tff(31681,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~node22(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(transitivity,[status(thm)],[31680, 31678])).
% 80.57/52.84 tff(31682,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~node22(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31683,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | (~node22(c_e_h_3, c_l, s3, s4))),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 80.57/52.84 tff(31684,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31683, 6905, 31506, 31571, 31597])).
% 80.57/52.84 tff(31685,plain,((~node22(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31686,plain,
% 80.57/52.84 (~node22(c_e_h_3, c_l, s3, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31685, 31673, 31595])).
% 80.57/52.84 tff(31687,plain,
% 80.57/52.84 (node21(c_e_h_3, c_l, s3, s4)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31527, 31686])).
% 80.57/52.84 tff(31688,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_l, s3)), introduced(assumption)).
% 80.57/52.84 tff(31689,plain,
% 80.57/52.84 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31690,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31691,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_m, X)) | m_and_h_gate_v_in2(I0, c_l, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s3)) | m_and_h_gate_v_in2(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 80.57/52.84 tff(31692,plain,
% 80.57/52.84 (m_and_h_gate_v_in2(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31691, 31413, 865])).
% 80.57/52.84 tff(31693,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31694,plain,
% 80.57/52.84 (((~node21(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4)) <=> ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31695,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4))))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31694])).
% 80.57/52.84 tff(31696,plain,
% 80.57/52.84 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4)))),
% 80.57/52.84 inference(transitivity,[status(thm)],[31695, 31693])).
% 80.57/52.84 tff(31697,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_l, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31698,plain,
% 80.57/52.84 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in2(c_e_h_3, c_l, s3)) | (~node21(c_e_h_3, c_l, s3, s4))),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31697, 31696])).
% 80.57/52.84 tff(31699,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31698, 7190, 31514, 31597, 31692, 31688])).
% 80.57/52.84 tff(31700,plain,((~node21(c_e_h_3, c_l, s3, s4)) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31701,plain,
% 80.57/52.84 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31700, 31687, 31595])).
% 80.57/52.84 tff(31702,plain,
% 80.57/52.84 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31703,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3))),
% 80.57/52.84 inference(quant_inst,[status(thm)],[])).
% 80.57/52.84 tff(31704,plain,
% 80.57/52.84 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_l, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.84 inference(modus_ponens,[status(thm)],[31703, 31702])).
% 80.57/52.84 tff(31705,plain,
% 80.57/52.84 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31704, 31454, 31701])).
% 80.57/52.84 tff(31706,plain,
% 80.57/52.84 (~node21(c_e_h_3, c_k, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31546, 31705, 31338])).
% 80.57/52.84 tff(31707,plain,
% 80.57/52.84 (node22(c_e_h_3, c_k, s2, s3)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31551, 31706])).
% 80.57/52.84 tff(31708,plain,
% 80.57/52.84 (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31559, 31707, 31705])).
% 80.57/52.84 tff(31709,plain,
% 80.57/52.84 ($false),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31563, 2031, 31708, 31677])).
% 80.57/52.84 tff(31710,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s5) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)) | node20(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.84 tff(31711,plain,
% 80.57/52.84 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31710, 30466, 29814, 30462, 30464, 9088, 9064, 30463])).
% 80.57/52.84 tff(31712,plain,
% 80.57/52.84 (~node15(c_e_h_3, c_h, s4, s5)),
% 80.57/52.84 inference(unit_resolution,[status(thm)],[31148, 31114, 30021])).
% 80.57/52.84 tff(31713,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.57/52.84 tff(31714,assumption,(node17(c_e_h_3, c_h, s4)), introduced(assumption)).
% 80.57/52.84 tff(31715,plain,
% 80.57/52.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31716,plain,
% 80.57/52.84 (((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~node17(c_e_h_3, c_h, s4))) <=> (m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))),
% 80.57/52.84 inference(rewrite,[status(thm)],[])).
% 80.57/52.84 tff(31717,plain,
% 80.57/52.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~node17(c_e_h_3, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4))))),
% 80.57/52.84 inference(monotonicity,[status(thm)],[31716])).
% 80.57/52.84 tff(31718,plain,
% 80.57/52.84 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~node17(c_e_h_3, c_h, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4)))),
% 80.57/52.85 inference(transitivity,[status(thm)],[31717, 31715])).
% 80.57/52.85 tff(31719,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~node17(c_e_h_3, c_h, s4)))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31720,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)) | (~node17(c_e_h_3, c_h, s4))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31719, 31718])).
% 80.57/52.85 tff(31721,plain,
% 80.57/52.85 (m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_in1(c_e_h_3, c_h, s4))),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31720, 541, 31714])).
% 80.57/52.85 tff(31722,plain,
% 80.57/52.85 (~m_c_h_element_v_in1(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31721, 31713])).
% 80.57/52.85 tff(31723,assumption,(~node15(c_e_h_3, c_h, s4, s5)), introduced(assumption)).
% 80.57/52.85 tff(31724,plain,
% 80.57/52.85 (~node16(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31164, 559, 31722, 31713])).
% 80.57/52.85 tff(31725,plain,
% 80.57/52.85 (node14(c_e_h_3, c_h, s4, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31160, 31724, 31723])).
% 80.57/52.85 tff(31726,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31139, 575, 31114, 31725, 31722])).
% 80.57/52.85 tff(31727,plain,(m_c_h_element_v_in2(c_e_h_3, c_h, s4) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | node15(c_e_h_3, c_h, s4, s5) | (~node17(c_e_h_3, c_h, s4))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31728,plain,
% 80.57/52.85 (~node17(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31727, 31114, 31713, 31712])).
% 80.57/52.85 tff(31729,plain,
% 80.57/52.85 (node18(c_e_h_3, c_h, s4, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31178, 31728])).
% 80.57/52.85 tff(31730,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31185, 481, 31114, 30021, 31729])).
% 80.57/52.85 tff(31731,plain,((~m_c_h_element_v_out(c_e_h_3, c_h, s5)) | m_c_h_element_v_out(c_e_h_3, c_h, s4) | m_c_h_element_v_in2(c_e_h_3, c_h, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31732,plain,
% 80.57/52.85 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31731, 31711, 30021])).
% 80.57/52.85 tff(31733,plain,
% 80.57/52.85 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31734,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31735,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31734, 31733])).
% 80.57/52.85 tff(31736,plain,
% 80.57/52.85 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31735, 1740, 31732])).
% 80.57/52.85 tff(31737,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31672, 31736, 30463, 29814])).
% 80.57/52.85 tff(31738,plain,
% 80.57/52.85 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30058, 30466])).
% 80.57/52.85 tff(31739,plain,
% 80.57/52.85 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30066, 31738])).
% 80.57/52.85 tff(31740,plain,
% 80.57/52.85 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[3520, 31739])).
% 80.57/52.85 tff(31741,plain,
% 80.57/52.85 (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31291, 31064, 30464, 9088])).
% 80.57/52.85 tff(31742,plain,
% 80.57/52.85 (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[3423, 31741])).
% 80.57/52.85 tff(31743,plain,
% 80.57/52.85 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[9129, 31742, 9088, 30538])).
% 80.57/52.85 tff(31744,plain,
% 80.57/52.85 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[3628, 31743, 3542])).
% 80.57/52.85 tff(31745,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[3538, 31744])).
% 80.57/52.85 tff(31746,plain,
% 80.57/52.85 (m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31189, 31064, 31114])).
% 80.57/52.85 tff(31747,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31071, 31746])).
% 80.57/52.85 tff(31748,plain,
% 80.57/52.85 (node20(c_e_h_3, c_c, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31061, 31747])).
% 80.57/52.85 tff(31749,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31038, 31748])).
% 80.57/52.85 tff(31750,plain,
% 80.57/52.85 (m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31030, 31749])).
% 80.57/52.85 tff(31751,plain,
% 80.57/52.85 (m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31023, 31750])).
% 80.57/52.85 tff(31752,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30996, 31751, 31745])).
% 80.57/52.85 tff(31753,plain,(m_or_h_gate_v_out(c_e_h_3, c_g, s3) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6) | (~m_c_h_element_v_out(c_e_h_3, c_h, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31754,plain,
% 80.57/52.85 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31753, 31740, 9088, 30464, 31711])).
% 80.57/52.85 tff(31755,plain,
% 80.57/52.85 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31333, 31293])).
% 80.57/52.85 tff(31756,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31337, 13754, 31755])).
% 80.57/52.85 tff(31757,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_k, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31344, 31293])).
% 80.57/52.85 tff(31758,plain,
% 80.57/52.85 (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31594, 31756, 31401, 31757])).
% 80.57/52.85 tff(31759,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_l, s3, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31685, 31758, 31571])).
% 80.57/52.85 tff(31760,plain,
% 80.57/52.85 (node21(c_e_h_3, c_l, s3, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31527, 31759])).
% 80.57/52.85 tff(31761,plain,
% 80.57/52.85 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31700, 31760, 31758])).
% 80.57/52.85 tff(31762,plain,
% 80.57/52.85 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31704, 31454, 31761])).
% 80.57/52.85 tff(31763,plain,
% 80.57/52.85 (~node21(c_e_h_3, c_k, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31546, 31762, 31756])).
% 80.57/52.85 tff(31764,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31587, 31571])).
% 80.57/52.85 tff(31765,plain,
% 80.57/52.85 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31592, 31764])).
% 80.57/52.85 tff(31766,plain,
% 80.57/52.85 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31579, 31765, 31571])).
% 80.57/52.85 tff(31767,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31567, 22, 31766])).
% 80.57/52.85 tff(31768,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31563, 2031, 31767])).
% 80.57/52.85 tff(31769,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_k, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31559, 31762, 31768])).
% 80.57/52.85 tff(31770,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31551, 31769, 31763])).
% 80.57/52.85 tff(31771,plain,((~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_and_h_gate_v_out(c_e_h_3, c_l, s5)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31772,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31771, 31754, 31737])).
% 80.57/52.85 tff(31773,plain,
% 80.57/52.85 (~node4(c_e_h_3, c_j, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31397, 31772])).
% 80.57/52.85 tff(31774,plain,
% 80.57/52.85 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31775,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31776,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 80.57/52.85 tff(31777,plain,
% 80.57/52.85 (m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31776, 30351, 31737])).
% 80.57/52.85 tff(31778,plain,
% 80.57/52.85 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | (~node4(c_e_h_3, c_j, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | (~node4(c_e_h_3, c_j, s3)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31779,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | (~node4(c_e_h_3, c_j, s3)))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31780,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s3)) | (~node4(c_e_h_3, c_j, s3))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31779, 31778])).
% 80.57/52.85 tff(31781,plain,
% 80.57/52.85 (~node4(c_e_h_3, c_j, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31780, 6717, 31777])).
% 80.57/52.85 tff(31782,plain,
% 80.57/52.85 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31333, 31754])).
% 80.57/52.85 tff(31783,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31337, 13754, 31782])).
% 80.57/52.85 tff(31784,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31587, 31737])).
% 80.57/52.85 tff(31785,plain,
% 80.57/52.85 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31592, 31784])).
% 80.57/52.85 tff(31786,plain,
% 80.57/52.85 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31579, 31785, 31737])).
% 80.57/52.85 tff(31787,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31567, 22, 31786])).
% 80.57/52.85 tff(31788,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31563, 2031, 31787])).
% 80.57/52.85 tff(31789,plain,
% 80.57/52.85 (~node21(c_e_h_3, c_k, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31546, 31533, 31531])).
% 80.57/52.85 tff(31790,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_k, s2, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31559, 31533, 31553])).
% 80.57/52.85 tff(31791,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31551, 31790, 31789])).
% 80.57/52.85 tff(31792,plain,(m_and_h_gate_v_out(c_e_h_3, c_k, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)) | (~m_and_h_gate_v_in1(c_e_h_3, c_k, s2))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31793,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31792, 31788, 31783])).
% 80.57/52.85 tff(31794,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31704, 31454, 31793])).
% 80.57/52.85 tff(31795,plain,
% 80.57/52.85 (~node22(c_e_h_3, c_l, s3, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31685, 31597, 31571])).
% 80.57/52.85 tff(31796,plain,
% 80.57/52.85 (~node21(c_e_h_3, c_l, s3, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31700, 31597, 31688])).
% 80.57/52.85 tff(31797,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31527, 31796, 31795])).
% 80.57/52.85 tff(31798,plain,(m_and_h_gate_v_out(c_e_h_3, c_l, s4) | (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s3))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31799,plain,
% 80.57/52.85 (m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31798, 31794, 31737])).
% 80.57/52.85 tff(31800,plain,
% 80.57/52.85 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31801,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31802,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)) | m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 80.57/52.85 tff(31803,plain,
% 80.57/52.85 (m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31802, 30351, 31799])).
% 80.57/52.85 tff(31804,plain,
% 80.57/52.85 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | (~node4(c_e_h_3, c_j, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | (~node4(c_e_h_3, c_j, s4)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31805,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | (~node4(c_e_h_3, c_j, s4)))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31806,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)) | (~node4(c_e_h_3, c_j, s4))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 80.57/52.85 tff(31807,plain,
% 80.57/52.85 (~node4(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31806, 6717, 31803])).
% 80.57/52.85 tff(31808,assumption,(node20(c_e_h_3, c_i, s5)), introduced(assumption)).
% 80.57/52.85 tff(31809,plain,
% 80.57/52.85 (m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30477, 22, 31808])).
% 80.57/52.85 tff(31810,plain,
% 80.57/52.85 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30473, 8, 31809])).
% 80.57/52.85 tff(31811,plain,
% 80.57/52.85 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s5))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31812,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s5))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31813,plain,
% 80.57/52.85 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_3, c_i, s5)) | m_and_h_gate_v_in2(c_e_h_3, c_i, s5)),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31812, 31811])).
% 80.57/52.85 tff(31814,plain,
% 80.57/52.85 (m_and_h_gate_v_in2(c_e_h_3, c_i, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31813, 334, 31808])).
% 80.57/52.85 tff(31815,plain,
% 80.57/52.85 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_3, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31816,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31817,plain,
% 80.57/52.85 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_3, c_i, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s5))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 80.57/52.85 tff(31818,plain,
% 80.57/52.85 (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31817, 6608, 31814])).
% 80.57/52.85 tff(31819,assumption,(~node4(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.57/52.85 tff(31820,assumption,(node5(c_e_h_3, c_j, s4, s5)), introduced(assumption)).
% 80.57/52.85 tff(31821,assumption,(~m_or_h_gate_v_out(c_e_h_3, c_j, s5)), introduced(assumption)).
% 80.57/52.85 tff(31822,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31823,plain,
% 80.57/52.85 ((node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31824,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5))))),
% 80.57/52.85 inference(monotonicity,[status(thm)],[31823])).
% 80.57/52.85 tff(31825,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(transitivity,[status(thm)],[31824, 31822])).
% 80.57/52.85 tff(31826,plain,
% 80.57/52.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31827,plain,
% 80.57/52.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4) | (~node5(c_e_h_3, c_j, s4, s5))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31826, 31825])).
% 80.57/52.85 tff(31828,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31827, 6671, 31821, 31820, 31819])).
% 80.57/52.85 tff(31829,plain,((~node5(c_e_h_3, c_j, s4, s5)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | node4(c_e_h_3, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31830,plain,
% 80.57/52.85 (~node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31829, 31818, 31819])).
% 80.57/52.85 tff(31831,plain,
% 80.57/52.85 (node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31622, 31830])).
% 80.57/52.85 tff(31832,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31833,plain,
% 80.57/52.85 ((m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31834,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5))))),
% 80.57/52.85 inference(monotonicity,[status(thm)],[31833])).
% 80.57/52.85 tff(31835,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5)))),
% 80.57/52.85 inference(transitivity,[status(thm)],[31834, 31832])).
% 80.57/52.85 tff(31836,plain,
% 80.57/52.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)))),
% 80.57/52.85 inference(quant_inst,[status(thm)],[])).
% 80.57/52.85 tff(31837,plain,
% 80.57/52.85 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s5) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | (~node6(c_e_h_3, c_j, s4, s5))),
% 80.57/52.85 inference(modus_ponens,[status(thm)],[31836, 31835])).
% 80.57/52.85 tff(31838,plain,
% 80.57/52.85 ($false),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31837, 6691, 31634, 31821, 31606])).
% 80.57/52.85 tff(31839,plain,((~node6(c_e_h_3, c_j, s4, s5)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s5)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.85 tff(31840,plain,
% 80.57/52.85 (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31839, 31831, 31818])).
% 80.57/52.85 tff(31841,plain,
% 80.57/52.85 (~m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31735, 1740, 31840])).
% 80.57/52.85 tff(31842,plain,
% 80.57/52.85 (m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[31731, 31841, 31810])).
% 80.57/52.85 tff(31843,plain,
% 80.57/52.85 (m_c_h_element_v_in1(c_e_h_3, c_h, s3)),
% 80.57/52.85 inference(unit_resolution,[status(thm)],[30013, 31842])).
% 80.57/52.85 tff(31844,assumption,(~node4(c_e_h_3, c_j, s3)), introduced(assumption)).
% 80.57/52.85 tff(31845,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31846,plain,
% 80.57/52.85 ((node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4)) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.85 inference(rewrite,[status(thm)],[])).
% 80.57/52.85 tff(31847,plain,
% 80.57/52.85 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31846])).
% 80.57/52.86 tff(31848,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31847, 31845])).
% 80.57/52.86 tff(31849,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31850,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3) | (~node5(c_e_h_3, c_j, s3, s4))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 80.57/52.86 tff(31851,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31850, 6671, 31605, 31640, 31844])).
% 80.57/52.86 tff(31852,plain,((~node5(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | node4(c_e_h_3, c_j, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31853,plain,
% 80.57/52.86 (~node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31852, 31840, 31844])).
% 80.57/52.86 tff(31854,plain,
% 80.57/52.86 (node6(c_e_h_3, c_j, s3, s4)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31656, 31853])).
% 80.57/52.86 tff(31855,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31856,plain,
% 80.57/52.86 ((m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))) <=> (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31857,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31856])).
% 80.57/52.86 tff(31858,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31857, 31855])).
% 80.57/52.86 tff(31859,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~node6(c_e_h_3, c_j, s3, s4)) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31860,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)) | (~node6(c_e_h_3, c_j, s3, s4))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 80.57/52.86 tff(31861,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31860, 6691, 31605, 31658, 29884])).
% 80.57/52.86 tff(31862,plain,((~node6(c_e_h_3, c_j, s3, s4)) | m_or_h_gate_v_out(c_e_h_3, c_j, s4) | (~m_or_h_gate_v_out(c_e_h_3, c_j, s3))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31863,plain,
% 80.57/52.86 (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31862, 31854, 31840])).
% 80.57/52.86 tff(31864,plain,
% 80.57/52.86 (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[29918, 1740, 31863])).
% 80.57/52.86 tff(31865,plain,
% 80.57/52.86 (~node17(c_e_h_3, c_h, s3)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[29973, 541, 31864, 31843])).
% 80.57/52.86 tff(31866,plain,
% 80.57/52.86 (node18(c_e_h_3, c_h, s3, s4)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30007, 31865])).
% 80.57/52.86 tff(31867,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[29929, 481, 31842, 2214, 31866])).
% 80.57/52.86 tff(31868,plain,((~node20(c_e_h_3, c_i, s5)) | node4(c_e_h_3, c_j, s3) | node4(c_e_h_3, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31869,plain,
% 80.57/52.86 (~node20(c_e_h_3, c_i, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31868, 31807, 31781])).
% 80.57/52.86 tff(31870,plain,
% 80.57/52.86 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30497, 31869, 31738])).
% 80.57/52.86 tff(31871,plain,
% 80.57/52.86 (node20(c_e_h_3, c_i, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30572, 31870, 9088, 31740])).
% 80.57/52.86 tff(31872,plain,
% 80.57/52.86 (m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31348, 334, 31871])).
% 80.57/52.86 tff(31873,plain,
% 80.57/52.86 (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31352, 6608, 31872])).
% 80.57/52.86 tff(31874,plain,
% 80.57/52.86 (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31385, 31873, 31773])).
% 80.57/52.86 tff(31875,plain,
% 80.57/52.86 (~node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31839, 31874, 31736])).
% 80.57/52.86 tff(31876,plain,
% 80.57/52.86 (~node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31829, 31874, 31807])).
% 80.57/52.86 tff(31877,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31622, 31876, 31875])).
% 80.57/52.86 tff(31878,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31879,plain,
% 80.57/52.86 (m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31878, 9088, 30461, 30463, 29814, 30462, 9064])).
% 80.57/52.86 tff(31880,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s6)), introduced(assumption)).
% 80.57/52.86 tff(31881,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), introduced(assumption)).
% 80.57/52.86 tff(31882,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[3413, 966, 31881, 31880])).
% 80.57/52.86 tff(31883,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31884,plain,
% 80.57/52.86 (m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31883, 31879])).
% 80.57/52.86 tff(31885,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31886,plain,
% 80.57/52.86 (((~trans(s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6))) <=> ((~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31887,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31886])).
% 80.57/52.86 tff(31888,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31887, 31885])).
% 80.57/52.86 tff(31889,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | ((~trans(s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31890,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | (~m_mutex_h_half_v_out(I0, I1, Y)) | (~m_mutex_h_half_v_other_h_out(I0, I1, Y)))) | (~trans(s5, s6)) | (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 80.57/52.86 tff(31891,plain,
% 80.57/52.86 (~m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31890, 14978, 1343, 3386])).
% 80.57/52.86 tff(31892,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s6)), introduced(assumption)).
% 80.57/52.86 tff(31893,plain,
% 80.57/52.86 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31894,plain,
% 80.57/52.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31895,plain,
% 80.57/52.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_a, X)) | m_mutex_h_half_v_other_h_out(I0, c_b, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) | m_mutex_h_half_v_other_h_out(c_e_h_3, c_b, s6)),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31894, 31893])).
% 80.57/52.86 tff(31896,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31895, 14999, 31892, 31891])).
% 80.57/52.86 tff(31897,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31898,plain,
% 80.57/52.86 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31897, 31884])).
% 80.57/52.86 tff(31899,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_a, s6)), introduced(assumption)).
% 80.57/52.86 tff(31900,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_a, s5)), introduced(assumption)).
% 80.57/52.86 tff(31901,assumption,(m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)), introduced(assumption)).
% 80.57/52.86 tff(31902,assumption,(node13(c_e_h_3, c_a, s5, s6)), introduced(assumption)).
% 80.57/52.86 tff(31903,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31904,plain,
% 80.57/52.86 ((m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31905,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31904])).
% 80.57/52.86 tff(31906,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31905, 31903])).
% 80.57/52.86 tff(31907,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31908,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node13(c_e_h_3, c_a, s5, s6))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 80.57/52.86 tff(31909,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31908, 7277, 31902, 31899, 31900])).
% 80.57/52.86 tff(31910,plain,((~node13(c_e_h_3, c_a, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31911,plain,
% 80.57/52.86 (~node13(c_e_h_3, c_a, s5, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31910, 31899, 31900])).
% 80.57/52.86 tff(31912,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_3, c_a, s5, s6) | node13(c_e_h_3, c_a, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_3, c_a, s5, s6) | node13(c_e_h_3, c_a, s5, s6))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31913,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s5, s6)) | node12(c_e_h_3, c_a, s5, s6) | node13(c_e_h_3, c_a, s5, s6))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31914,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s5, s6)) | node12(c_e_h_3, c_a, s5, s6) | node13(c_e_h_3, c_a, s5, s6)),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 80.57/52.86 tff(31915,plain,
% 80.57/52.86 (node12(c_e_h_3, c_a, s5, s6) | node13(c_e_h_3, c_a, s5, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31914, 1020, 1343])).
% 80.57/52.86 tff(31916,plain,
% 80.57/52.86 (node12(c_e_h_3, c_a, s5, s6)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31915, 31911])).
% 80.57/52.86 tff(31917,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31918,plain,
% 80.57/52.86 (((~node12(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6)) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31919,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31918])).
% 80.57/52.86 tff(31920,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31919, 31917])).
% 80.57/52.86 tff(31921,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_a, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31922,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~node12(c_e_h_3, c_a, s5, s6))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31921, 31920])).
% 80.57/52.86 tff(31923,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31922, 7301, 31916, 31899, 31901])).
% 80.57/52.86 tff(31924,plain,(m_mutex_h_half_v_out(c_e_h_3, c_a, s6) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31925,plain,
% 80.57/52.86 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31924, 31900, 31899])).
% 80.57/52.86 tff(31926,plain,
% 80.57/52.86 (~m_user_v_req(c_e_h_3, c_u, s3)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30928, 30903])).
% 80.57/52.86 tff(31927,plain,
% 80.57/52.86 (~m_user_v_req(c_e_h_3, c_u, s2)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30842, 31926])).
% 80.57/52.86 tff(31928,plain,
% 80.57/52.86 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s3)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[30953, 2765, 31926])).
% 80.57/52.86 tff(31929,plain,
% 80.57/52.86 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_user_v_req(c_e_h_3, c_u, s4))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_user_v_req(c_e_h_3, c_u, s4))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31930,plain,
% 80.57/52.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_user_v_req(c_e_h_3, c_u, s4))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31931,plain,
% 80.57/52.86 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_inp(I0, c_a, X)) | m_user_v_req(I0, c_u, X))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)) | m_user_v_req(c_e_h_3, c_u, s4)),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 80.57/52.86 tff(31932,plain,
% 80.57/52.86 (~m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31931, 2765, 30903])).
% 80.57/52.86 tff(31933,assumption,(node12(c_e_h_3, c_a, s4, s5)), introduced(assumption)).
% 80.57/52.86 tff(31934,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31935,plain,
% 80.57/52.86 (((~node12(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.57/52.86 inference(rewrite,[status(thm)],[])).
% 80.57/52.86 tff(31936,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5))))),
% 80.57/52.86 inference(monotonicity,[status(thm)],[31935])).
% 80.57/52.86 tff(31937,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5)))),
% 80.57/52.86 inference(transitivity,[status(thm)],[31936, 31934])).
% 80.57/52.86 tff(31938,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)))),
% 80.57/52.86 inference(quant_inst,[status(thm)],[])).
% 80.57/52.86 tff(31939,plain,
% 80.57/52.86 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node12(c_e_h_3, c_a, s4, s5))),
% 80.57/52.86 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 80.57/52.86 tff(31940,plain,
% 80.57/52.86 ($false),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31939, 1082, 31933, 30894, 31900])).
% 80.57/52.86 tff(31941,plain,((~node12(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.86 tff(31942,plain,
% 80.57/52.86 (~node12(c_e_h_3, c_a, s4, s5)),
% 80.57/52.86 inference(unit_resolution,[status(thm)],[31941, 31900, 30894])).
% 80.57/52.86 tff(31943,plain,
% 80.57/52.86 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node13(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node13(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31944,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node13(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(31945,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | (~node13(c_e_h_3, c_a, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4)),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[31944, 31943])).
% 80.57/52.87 tff(31946,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31945, 1004, 30872, 31900, 30848])).
% 80.57/52.87 tff(31947,plain,((~node13(c_e_h_3, c_a, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31948,plain,
% 80.57/52.87 (~node13(c_e_h_3, c_a, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31947, 31900, 30848])).
% 80.57/52.87 tff(31949,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30885, 31948, 31942])).
% 80.57/52.87 tff(31950,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s4) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31951,plain,
% 80.57/52.87 (m_mutex_h_half_v_out(c_e_h_3, c_a, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31950, 31932, 31900])).
% 80.57/52.87 tff(31952,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30949, 31951, 31928, 30941])).
% 80.57/52.87 tff(31953,plain,(m_user_v_req(c_e_h_3, c_u, s4) | m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31954,plain,
% 80.57/52.87 (m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31953, 30903, 31900])).
% 80.57/52.87 tff(31955,plain,
% 80.57/52.87 (m_mutex_h_half_v_inp(c_e_h_3, c_a, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30807, 31954])).
% 80.57/52.87 tff(31956,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30814, 31955, 31927])).
% 80.57/52.87 tff(31957,plain,(m_user_v_req(c_e_h_3, c_u, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31958,plain,
% 80.57/52.87 (m_user_v_req(c_e_h_3, c_u, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31957, 31900])).
% 80.57/52.87 tff(31959,assumption,(~m_user_v_ack(c_e_h_3, c_u, s4)), introduced(assumption)).
% 80.57/52.87 tff(31960,assumption,(~m_user_v_req(c_e_h_3, c_u, s5)), introduced(assumption)).
% 80.57/52.87 tff(31961,assumption,(node7(c_e_h_3, c_u, s4, s5)), introduced(assumption)).
% 80.57/52.87 tff(31962,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s4, s5)) | m_user_v_ack(c_e_h_3, c_u, s4) | m_user_v_req(c_e_h_3, c_u, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s4, s5)) | m_user_v_ack(c_e_h_3, c_u, s4) | m_user_v_req(c_e_h_3, c_u, s5))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31963,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | ((~node7(c_e_h_3, c_u, s4, s5)) | m_user_v_ack(c_e_h_3, c_u, s4) | m_user_v_req(c_e_h_3, c_u, s5))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(31964,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node7(I0, I1, X, Y)) | m_user_v_ack(I0, I1, X) | m_user_v_req(I0, I1, Y))) | (~node7(c_e_h_3, c_u, s4, s5)) | m_user_v_ack(c_e_h_3, c_u, s4) | m_user_v_req(c_e_h_3, c_u, s5)),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 80.57/52.87 tff(31965,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31964, 7383, 31961, 31959, 31960])).
% 80.57/52.87 tff(31966,plain,((~node7(c_e_h_3, c_u, s4, s5)) | m_user_v_ack(c_e_h_3, c_u, s4) | m_user_v_req(c_e_h_3, c_u, s5)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31967,plain,
% 80.57/52.87 (~node7(c_e_h_3, c_u, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31966, 31960, 31959])).
% 80.57/52.87 tff(31968,assumption,(node8(c_e_h_3, c_u, s4, s5)), introduced(assumption)).
% 80.57/52.87 tff(31969,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31970,plain,
% 80.57/52.87 ((m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)) | (~m_user_v_req(c_e_h_3, c_u, s4))) <=> ((~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31971,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)) | (~m_user_v_req(c_e_h_3, c_u, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | ((~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5))))),
% 80.57/52.87 inference(monotonicity,[status(thm)],[31970])).
% 80.57/52.87 tff(31972,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)) | (~m_user_v_req(c_e_h_3, c_u, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)))),
% 80.57/52.87 inference(transitivity,[status(thm)],[31971, 31969])).
% 80.57/52.87 tff(31973,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5)) | (~m_user_v_req(c_e_h_3, c_u, s4)))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(31974,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_user_v_req(I0, I1, Y) | (~node8(I0, I1, X, Y)) | (~m_user_v_req(I0, I1, X)))) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_req(c_e_h_3, c_u, s5) | (~node8(c_e_h_3, c_u, s4, s5))),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 80.57/52.87 tff(31975,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31974, 7402, 31968, 31960, 30895])).
% 80.57/52.87 tff(31976,plain,((~node8(c_e_h_3, c_u, s4, s5)) | m_user_v_req(c_e_h_3, c_u, s5) | (~m_user_v_req(c_e_h_3, c_u, s4))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31977,plain,
% 80.57/52.87 (~node8(c_e_h_3, c_u, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31976, 31960, 30895])).
% 80.57/52.87 tff(31978,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s4, s5)) | node7(c_e_h_3, c_u, s4, s5) | node8(c_e_h_3, c_u, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s4, s5)) | node7(c_e_h_3, c_u, s4, s5) | node8(c_e_h_3, c_u, s4, s5))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31979,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | ((~trans(s4, s5)) | node7(c_e_h_3, c_u, s4, s5) | node8(c_e_h_3, c_u, s4, s5))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(31980,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node7(I0, I1, X, Y) | node8(I0, I1, X, Y))) | (~trans(s4, s5)) | node7(c_e_h_3, c_u, s4, s5) | node8(c_e_h_3, c_u, s4, s5)),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[31979, 31978])).
% 80.57/52.87 tff(31981,plain,
% 80.57/52.87 (node7(c_e_h_3, c_u, s4, s5) | node8(c_e_h_3, c_u, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31980, 7421, 930])).
% 80.57/52.87 tff(31982,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31981, 31977, 31967])).
% 80.57/52.87 tff(31983,plain,(m_user_v_req(c_e_h_3, c_u, s5) | (~m_user_v_req(c_e_h_3, c_u, s4)) | m_user_v_ack(c_e_h_3, c_u, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31984,plain,
% 80.57/52.87 (m_user_v_req(c_e_h_3, c_u, s5) | (~m_user_v_req(c_e_h_3, c_u, s4))),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31983, 17062])).
% 80.57/52.87 tff(31985,plain,
% 80.57/52.87 (m_user_v_req(c_e_h_3, c_u, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31984, 31958])).
% 80.57/52.87 tff(31986,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)), introduced(assumption)).
% 80.57/52.87 tff(31987,assumption,(m_user_v_req(c_e_h_3, c_u, s5)), introduced(assumption)).
% 80.57/52.87 tff(31988,plain,
% 80.57/52.87 (((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s5))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s5))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(31989,plain,
% 80.57/52.87 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | ((~m_user_v_req(c_e_h_3, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s5))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(31990,plain,
% 80.57/52.87 ((~![I0: $i, X: $i] : ((~m_user_v_req(I0, c_u, X)) | m_mutex_h_half_v_inp(I0, c_a, X))) | (~m_user_v_req(c_e_h_3, c_u, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_a, s5)),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 80.57/52.87 tff(31991,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31990, 7318, 31987, 31986])).
% 80.57/52.87 tff(31992,plain,(m_mutex_h_half_v_inp(c_e_h_3, c_a, s5) | (~m_user_v_req(c_e_h_3, c_u, s5))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31993,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31992, 31985, 31925])).
% 80.57/52.87 tff(31994,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_a, s6)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(31995,plain,
% 80.57/52.87 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31994, 31898])).
% 80.57/52.87 tff(31996,plain,
% 80.57/52.87 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30955, 31995])).
% 80.57/52.87 tff(31997,plain,
% 80.57/52.87 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30868, 31996])).
% 80.57/52.87 tff(31998,plain,
% 80.57/52.87 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31023, 31997])).
% 80.57/52.87 tff(31999,plain,
% 80.57/52.87 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31030, 31998])).
% 80.57/52.87 tff(32000,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_c, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31038, 31999])).
% 80.57/52.87 tff(32001,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31061, 32000])).
% 80.57/52.87 tff(32002,plain,
% 80.57/52.87 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31071, 32001])).
% 80.57/52.87 tff(32003,plain,
% 80.57/52.87 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31284, 31997])).
% 80.57/52.87 tff(32004,assumption,(node20(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.57/52.87 tff(32005,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)), introduced(assumption)).
% 80.57/52.87 tff(32006,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31288, 22, 32005, 32004])).
% 80.57/52.87 tff(32007,plain,((~node20(c_e_h_3, c_c, s3)) | m_and_h_gate_v_in1(c_e_h_3, c_c, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32008,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_c, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32007, 32003])).
% 80.57/52.87 tff(32009,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31277, 32001, 32008])).
% 80.57/52.87 tff(32010,plain,
% 80.57/52.87 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31251, 32009])).
% 80.57/52.87 tff(32011,plain,
% 80.57/52.87 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30026, 30461])).
% 80.57/52.87 tff(32012,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_i, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30034, 32011])).
% 80.57/52.87 tff(32013,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30058, 32012])).
% 80.57/52.87 tff(32014,plain,
% 80.57/52.87 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30066, 30061])).
% 80.57/52.87 tff(32015,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3520, 32014])).
% 80.57/52.87 tff(32016,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31189, 31064, 31091])).
% 80.57/52.87 tff(32017,plain,
% 80.57/52.87 ((~m_or_h_gate_v_out(c_e_h_3, c_g, s5)) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_out(c_e_h_3, c_g, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31243, 30722])).
% 80.57/52.87 tff(32018,plain,
% 80.57/52.87 (~m_or_h_gate_v_out(c_e_h_3, c_g, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32017, 31123, 31217])).
% 80.57/52.87 tff(32019,plain,
% 80.57/52.87 (~m_c_h_element_v_in1(c_e_h_3, c_h, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31214, 32018])).
% 80.57/52.87 tff(32020,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_h, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31206, 32019, 32016])).
% 80.57/52.87 tff(32021,plain,
% 80.57/52.87 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[11, 8, 32020])).
% 80.57/52.87 tff(32022,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[25, 22, 32021])).
% 80.57/52.87 tff(32023,plain,
% 80.57/52.87 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30473, 8, 32016])).
% 80.57/52.87 tff(32024,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30477, 22, 32023])).
% 80.57/52.87 tff(32025,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30497, 32024, 30061])).
% 80.57/52.87 tff(32026,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30572, 32025, 32022, 9088, 32015])).
% 80.57/52.87 tff(32027,plain,(m_or_h_gate_v_out(c_e_h_3, c_g, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_and_h_gate_v_out(c_e_h_3, c_i, s5) | m_or_h_gate_v_in1(c_e_h_3, c_g, s4) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32028,plain,
% 80.57/52.87 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32027, 9088, 32013, 32010, 32002])).
% 80.57/52.87 tff(32029,plain,
% 80.57/52.87 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30066, 32013])).
% 80.57/52.87 tff(32030,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3520, 32029])).
% 80.57/52.87 tff(32031,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30497, 30478, 32013])).
% 80.57/52.87 tff(32032,plain,
% 80.57/52.87 (node20(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30572, 32031, 9088, 32030])).
% 80.57/52.87 tff(32033,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[25, 22, 32032])).
% 80.57/52.87 tff(32034,plain,
% 80.57/52.87 (m_c_h_element_v_out(c_e_h_3, c_h, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[11, 8, 32033])).
% 80.57/52.87 tff(32035,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_h, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30661, 32034, 30467])).
% 80.57/52.87 tff(32036,plain,
% 80.57/52.87 (m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30665, 1740, 32035])).
% 80.57/52.87 tff(32037,plain,
% 80.57/52.87 (m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31348, 334, 32032])).
% 80.57/52.87 tff(32038,plain,
% 80.57/52.87 (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31352, 6608, 32037])).
% 80.57/52.87 tff(32039,plain,
% 80.57/52.87 (node4(c_e_h_3, c_j, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31385, 32036, 32038])).
% 80.57/52.87 tff(32040,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31397, 32039])).
% 80.57/52.87 tff(32041,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31771, 32040, 31293])).
% 80.57/52.87 tff(32042,plain,
% 80.57/52.87 (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31672, 32041, 30463, 29814])).
% 80.57/52.87 tff(32043,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31594, 32040, 31756, 31757])).
% 80.57/52.87 tff(32044,plain,
% 80.57/52.87 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31602, 32043])).
% 80.57/52.87 tff(32045,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31631, 32044, 32042, 30462, 32036])).
% 80.57/52.87 tff(32046,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s5) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | (~m_or_h_gate_v_out(c_e_h_3, c_g, s3)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32047,plain,
% 80.57/52.87 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32046, 32028, 30463, 29814, 30462, 9088])).
% 80.57/52.87 tff(32048,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31731, 32047, 30461])).
% 80.57/52.87 tff(32049,plain,
% 80.57/52.87 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31735, 1740, 32048])).
% 80.57/52.87 tff(32050,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31672, 32049, 30463, 29814])).
% 80.57/52.87 tff(32051,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31771, 32050, 32028])).
% 80.57/52.87 tff(32052,plain,
% 80.57/52.87 (~node4(c_e_h_3, c_j, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31397, 32051])).
% 80.57/52.87 tff(32053,plain,
% 80.57/52.87 (~node6(c_e_h_3, c_j, s3, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31666, 32049, 30459])).
% 80.57/52.87 tff(32054,plain,
% 80.57/52.87 (node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31656, 32053])).
% 80.57/52.87 tff(32055,plain,
% 80.57/52.87 (m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31648, 32054, 30463, 32049])).
% 80.57/52.87 tff(32056,plain,
% 80.57/52.87 (~node4(c_e_h_3, c_j, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31780, 6717, 32055])).
% 80.57/52.87 tff(32057,plain,
% 80.57/52.87 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31333, 32028])).
% 80.57/52.87 tff(32058,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31337, 13754, 32057])).
% 80.57/52.87 tff(32059,plain,
% 80.57/52.87 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31587, 32050])).
% 80.57/52.87 tff(32060,plain,
% 80.57/52.87 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31592, 32059])).
% 80.57/52.87 tff(32061,plain,
% 80.57/52.87 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31579, 32060, 32050])).
% 80.57/52.87 tff(32062,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31567, 22, 32061])).
% 80.57/52.87 tff(32063,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31563, 2031, 32062])).
% 80.57/52.87 tff(32064,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31792, 32063, 32058])).
% 80.57/52.87 tff(32065,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)), introduced(assumption)).
% 80.57/52.87 tff(32066,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31704, 31454, 31479, 32065])).
% 80.57/52.87 tff(32067,plain,(m_and_h_gate_v_in1(c_e_h_3, c_l, s3) | (~m_and_h_gate_v_out(c_e_h_3, c_k, s3))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32068,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32067, 32064])).
% 80.57/52.87 tff(32069,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31798, 32068, 32050])).
% 80.57/52.87 tff(32070,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31802, 30351, 31399, 31604])).
% 80.57/52.87 tff(32071,plain,(m_or_h_gate_v_in1(c_e_h_3, c_j, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_l, s4))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32072,plain,
% 80.57/52.87 (m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32071, 32069])).
% 80.57/52.87 tff(32073,plain,
% 80.57/52.87 (~node4(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31806, 6717, 32072])).
% 80.57/52.87 tff(32074,plain,
% 80.57/52.87 (~node20(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31868, 32073, 32056])).
% 80.57/52.87 tff(32075,plain,
% 80.57/52.87 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30497, 32074, 32013])).
% 80.57/52.87 tff(32076,plain,
% 80.57/52.87 (node20(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30572, 32075, 9088, 32030])).
% 80.57/52.87 tff(32077,plain,
% 80.57/52.87 (m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31348, 334, 32076])).
% 80.57/52.87 tff(32078,plain,
% 80.57/52.87 (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31352, 6608, 32077])).
% 80.57/52.87 tff(32079,plain,
% 80.57/52.87 (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31385, 32078, 32052])).
% 80.57/52.87 tff(32080,plain,
% 80.57/52.87 (~node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31839, 32079, 32049])).
% 80.57/52.87 tff(32081,plain,
% 80.57/52.87 (~node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31829, 32079, 32073])).
% 80.57/52.87 tff(32082,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31622, 32081, 32080])).
% 80.57/52.87 tff(32083,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32084,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32083, 29813, 29809, 30458, 30455])).
% 80.57/52.87 tff(32085,plain,
% 80.57/52.87 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[9133, 224, 32084])).
% 80.57/52.87 tff(32086,plain,
% 80.57/52.87 (~node9(c_e_h_3, c_n, s9)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[9137, 238, 32085])).
% 80.57/52.87 tff(32087,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[9160, 32086, 30455])).
% 80.57/52.87 tff(32088,plain,
% 80.57/52.87 (node9(c_e_h_3, c_n, s8)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8570, 32087, 30070])).
% 80.57/52.87 tff(32089,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8549, 238, 32088])).
% 80.57/52.87 tff(32090,plain,
% 80.57/52.87 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8545, 224, 32089])).
% 80.57/52.87 tff(32091,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30703, 2235, 1480, 30479, 30036])).
% 80.57/52.87 tff(32092,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8483, 32091])).
% 80.57/52.87 tff(32093,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[1564, 1480, 1506])).
% 80.57/52.87 tff(32094,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[2341, 32093, 2283])).
% 80.57/52.87 tff(32095,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3519, 32094, 3458])).
% 80.57/52.87 tff(32096,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[1628, 32093])).
% 80.57/52.87 tff(32097,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[2347, 32094])).
% 80.57/52.87 tff(32098,plain,
% 80.57/52.87 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8539, 32097, 8486, 1572, 8485, 32096])).
% 80.57/52.87 tff(32099,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8406, 32098, 32095])).
% 80.57/52.87 tff(32100,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | m_c_h_element_v_in2(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32101,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32100, 30692, 8486, 1480, 30690, 32092])).
% 80.57/52.87 tff(32102,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30701, 527, 32101, 2235])).
% 80.57/52.87 tff(32103,plain,(m_and_h_gate_v_out(c_e_h_3, c_i, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | node20(c_e_h_3, c_i, s4) | node20(c_e_h_3, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32104,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_i, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | node20(c_e_h_3, c_i, s4) | node20(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32103, 1234])).
% 80.57/52.87 tff(32105,plain,
% 80.57/52.87 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | node20(c_e_h_3, c_i, s4) | node20(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32104, 2020])).
% 80.57/52.87 tff(32106,plain,
% 80.57/52.87 (node20(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32105, 32090, 30035])).
% 80.57/52.87 tff(32107,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30477, 22, 32106])).
% 80.57/52.87 tff(32108,plain,
% 80.57/52.87 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30473, 8, 32107])).
% 80.57/52.87 tff(32109,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31731, 32108, 30019])).
% 80.57/52.87 tff(32110,plain,
% 80.57/52.87 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31735, 1740, 32109])).
% 80.57/52.87 tff(32111,plain,
% 80.57/52.87 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31672, 32110, 29813, 29809])).
% 80.57/52.87 tff(32112,plain,
% 80.57/52.87 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31587, 32111])).
% 80.57/52.87 tff(32113,plain,
% 80.57/52.87 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31592, 32112])).
% 80.57/52.87 tff(32114,plain,
% 80.57/52.87 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31579, 32113, 32111])).
% 80.57/52.87 tff(32115,plain,
% 80.57/52.87 (m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[31567, 22, 32114])).
% 80.57/52.87 tff(32116,assumption,(m_c_h_element_v_in2(c_e_h_3, c_f, s3)), introduced(assumption)).
% 80.57/52.87 tff(32117,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30701, 527, 32116, 2235])).
% 80.57/52.87 tff(32118,plain,((~m_c_h_element_v_in2(c_e_h_3, c_f, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32119,plain,
% 80.57/52.87 (~m_c_h_element_v_in2(c_e_h_3, c_f, s3)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32118, 2020])).
% 80.57/52.87 tff(32120,plain,
% 80.57/52.87 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32100, 1506, 8486, 1480, 2283, 3458])).
% 80.57/52.87 tff(32121,plain,
% 80.57/52.87 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8483, 32120])).
% 80.57/52.87 tff(32122,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s4)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[1564, 1506, 1480])).
% 80.57/52.87 tff(32123,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[2341, 32122, 2283])).
% 80.57/52.87 tff(32124,plain,
% 80.57/52.87 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3519, 32123, 3458])).
% 80.57/52.87 tff(32125,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[30536, 32124, 32121, 30530])).
% 80.57/52.87 tff(32126,plain,(m_c_h_element_v_in2(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32127,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_f, s3) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32126, 1234])).
% 80.57/52.87 tff(32128,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32127, 32119, 2258])).
% 80.57/52.87 tff(32129,plain,
% 80.57/52.87 (m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32128, 32090, 30067])).
% 80.57/52.87 tff(32130,plain,
% 80.57/52.87 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8541, 9084, 8486])).
% 80.57/52.87 tff(32131,plain,
% 80.57/52.87 (m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[8406, 32130])).
% 80.57/52.87 tff(32132,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(32133,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s6, s7)))),
% 80.57/52.87 inference(quant_inst,[status(thm)],[])).
% 80.57/52.87 tff(32134,plain,
% 80.57/52.87 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node18(c_e_h_3, c_f, s6, s7))),
% 80.57/52.87 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 80.57/52.87 tff(32135,plain,
% 80.57/52.87 ($false),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32134, 6627, 3632, 3432, 3543])).
% 80.57/52.87 tff(32136,plain,((~node18(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.87 tff(32137,plain,
% 80.57/52.87 (~node18(c_e_h_3, c_f, s6, s7)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32136, 32131, 3632])).
% 80.57/52.87 tff(32138,plain,
% 80.57/52.87 (node17(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3563, 32137])).
% 80.57/52.87 tff(32139,plain,
% 80.57/52.87 ((~node17(c_e_h_3, c_f, s6)) | m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[3588, 1172, 30523])).
% 80.57/52.87 tff(32140,plain,
% 80.57/52.87 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.57/52.87 inference(unit_resolution,[status(thm)],[32139, 32138])).
% 80.57/52.87 tff(32141,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7)))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(32142,plain,
% 80.57/52.87 ((m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node15(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7)))),
% 80.57/52.87 inference(rewrite,[status(thm)],[])).
% 80.57/52.87 tff(32143,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node15(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7))))),
% 80.57/52.87 inference(monotonicity,[status(thm)],[32142])).
% 80.57/52.87 tff(32144,plain,
% 80.57/52.87 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node15(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7)))),
% 80.57/52.88 inference(transitivity,[status(thm)],[32143, 32141])).
% 80.57/52.88 tff(32145,plain,
% 80.57/52.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node15(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)))),
% 80.57/52.88 inference(quant_inst,[status(thm)],[])).
% 80.57/52.88 tff(32146,plain,
% 80.57/52.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6)) | (~node15(c_e_h_3, c_f, s6, s7))),
% 80.57/52.88 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 80.57/52.88 tff(32147,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32146, 20664, 3632, 3432, 3566])).
% 80.57/52.88 tff(32148,plain,((~node15(c_e_h_3, c_f, s6, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_out(c_e_h_3, c_f, s6))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32149,plain,
% 80.57/52.88 (~node15(c_e_h_3, c_f, s6, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32148, 32131, 3632])).
% 80.57/52.88 tff(32150,plain,
% 80.57/52.88 (~node16(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3614, 32138])).
% 80.57/52.88 tff(32151,plain,
% 80.57/52.88 (node14(c_e_h_3, c_f, s6, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3579, 32150, 32149])).
% 80.57/52.88 tff(32152,plain,
% 80.57/52.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 80.57/52.88 inference(rewrite,[status(thm)],[])).
% 80.57/52.88 tff(32153,plain,
% 80.57/52.88 (((~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s7)) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 80.57/52.88 inference(rewrite,[status(thm)],[])).
% 80.57/52.88 tff(32154,plain,
% 80.57/52.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))))),
% 80.57/52.88 inference(monotonicity,[status(thm)],[32153])).
% 80.57/52.88 tff(32155,plain,
% 80.57/52.88 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)))),
% 80.57/52.88 inference(transitivity,[status(thm)],[32154, 32152])).
% 80.57/52.88 tff(32156,plain,
% 80.57/52.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)) | m_c_h_element_v_out(c_e_h_3, c_f, s7))),
% 80.57/52.88 inference(quant_inst,[status(thm)],[])).
% 80.57/52.88 tff(32157,plain,
% 80.57/52.88 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~node14(c_e_h_3, c_f, s6, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s6))),
% 80.57/52.88 inference(modus_ponens,[status(thm)],[32156, 32155])).
% 80.57/52.88 tff(32158,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32157, 20645, 3632, 32151, 32140])).
% 80.57/52.88 tff(32159,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s7) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s6)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32160,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32159, 32090, 32129])).
% 80.57/52.88 tff(32161,plain,
% 80.57/52.88 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3628, 32160, 30068])).
% 80.57/52.88 tff(32162,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3538, 32161])).
% 80.57/52.88 tff(32163,plain,
% 80.57/52.88 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30996, 32162])).
% 80.57/52.88 tff(32164,plain,
% 80.57/52.88 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31023, 32163])).
% 80.57/52.88 tff(32165,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31030, 32164])).
% 80.57/52.88 tff(32166,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31038, 32165])).
% 80.57/52.88 tff(32167,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31061, 32166])).
% 80.57/52.88 tff(32168,plain,
% 80.57/52.88 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31071, 32167])).
% 80.57/52.88 tff(32169,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30032, 22, 31191])).
% 80.57/52.88 tff(32170,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32105, 32169, 32024, 8486])).
% 80.57/52.88 tff(32171,plain,(m_or_h_gate_v_out(c_e_h_3, c_g, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_or_h_gate_v_in1(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32172,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32171, 32168, 32090])).
% 80.57/52.88 tff(32173,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31333, 32172])).
% 80.57/52.88 tff(32174,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31337, 13754, 32173])).
% 80.57/52.88 tff(32175,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30024, 8, 30021])).
% 80.57/52.88 tff(32176,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30032, 22, 32175])).
% 80.57/52.88 tff(32177,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30057, 32176, 2251])).
% 80.57/52.88 tff(32178,plain,
% 80.57/52.88 (~m_c_h_element_v_in2(c_e_h_3, c_f, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[2257, 2251])).
% 80.57/52.88 tff(32179,plain,
% 80.57/52.88 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30066, 32177])).
% 80.57/52.88 tff(32180,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[2341, 1570, 2283])).
% 80.57/52.88 tff(32181,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3519, 32180, 3458])).
% 80.57/52.88 tff(32182,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30536, 32181, 30530])).
% 80.57/52.88 tff(32183,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[2347, 32180])).
% 80.57/52.88 tff(32184,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[1628, 1570])).
% 80.57/52.88 tff(32185,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8406, 32181])).
% 80.57/52.88 tff(32186,plain,
% 80.57/52.88 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8539, 32185, 8486, 1572, 32184, 32183])).
% 80.57/52.88 tff(32187,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8483, 32186, 32182])).
% 80.57/52.88 tff(32188,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s6) | m_c_h_element_v_in2(c_e_h_3, c_f, s5) | m_c_h_element_v_in2(c_e_h_3, c_f, s4) | m_c_h_element_v_in1(c_e_h_3, c_f, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32189,plain,
% 80.57/52.88 (m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32188, 32179, 1480, 1479, 8486, 32178])).
% 80.57/52.88 tff(32190,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30528, 32189])).
% 80.57/52.88 tff(32191,plain,
% 80.57/52.88 (node20(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30497, 32190, 32177])).
% 80.57/52.88 tff(32192,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30477, 22, 32191])).
% 80.57/52.88 tff(32193,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30473, 8, 32192])).
% 80.57/52.88 tff(32194,plain,
% 80.57/52.88 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31731, 32193, 30021])).
% 80.57/52.88 tff(32195,plain,
% 80.57/52.88 (m_and_h_gate_v_in2(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31813, 334, 32191])).
% 80.57/52.88 tff(32196,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31817, 6608, 32195])).
% 80.57/52.88 tff(32197,plain,
% 80.57/52.88 (~node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31829, 32196, 31819])).
% 80.57/52.88 tff(32198,plain,
% 80.57/52.88 (node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31622, 32197])).
% 80.57/52.88 tff(32199,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31839, 32198, 32196])).
% 80.57/52.88 tff(32200,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31735, 1740, 32199, 32194])).
% 80.57/52.88 tff(32201,plain,(m_c_h_element_v_out(c_e_h_3, c_h, s4) | node4(c_e_h_3, c_j, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s3) | m_c_h_element_v_in1(c_e_h_3, c_f, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32202,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_3, c_h, s4) | node4(c_e_h_3, c_j, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32201, 1234, 1478])).
% 80.57/52.88 tff(32203,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_3, c_h, s4) | node4(c_e_h_3, c_j, s4) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32202, 2250])).
% 80.57/52.88 tff(32204,plain,
% 80.57/52.88 (node4(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32203, 32090, 30019])).
% 80.57/52.88 tff(32205,plain,
% 80.57/52.88 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31806, 6717, 32204])).
% 80.57/52.88 tff(32206,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32071, 32205])).
% 80.57/52.88 tff(32207,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31798, 32206, 32111])).
% 80.57/52.88 tff(32208,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32067, 32207])).
% 80.57/52.88 tff(32209,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31792, 32208, 32174])).
% 80.57/52.88 tff(32210,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31563, 2031, 32209, 32115])).
% 80.57/52.88 tff(32211,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_h, s12) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_or_h_gate_v_out(c_e_h_2, c_j, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | node4(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32212,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32211, 29057, 12655, 12654, 17541, 20557, 29042, 6423, 29056, 29043, 25999])).
% 80.57/52.88 tff(32213,plain,
% 80.57/52.88 (m_or_h_gate_v_in2(c_e_h_1, c_g, s8)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[26739, 32212, 28953, 26377, 6423])).
% 80.57/52.88 tff(32214,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[26505, 32213])).
% 80.57/52.88 tff(32215,plain,
% 80.57/52.88 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13511, 32214])).
% 80.57/52.88 tff(32216,plain,
% 80.57/52.88 (m_cell_v_req(c_e_h_2, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13520, 32215])).
% 80.57/52.88 tff(32217,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13528, 32216])).
% 80.57/52.88 tff(32218,plain,
% 80.57/52.88 (node20(c_e_h_2, c_p, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13685, 32217, 13663])).
% 80.57/52.88 tff(32219,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13693, 32218])).
% 80.57/52.88 tff(32220,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13701, 32219])).
% 80.57/52.88 tff(32221,plain,
% 80.57/52.88 (~node22(c_e_h_2, c_k, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13764, 32220, 13545])).
% 80.57/52.88 tff(32222,plain,
% 80.57/52.88 (node21(c_e_h_2, c_k, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13769, 32221])).
% 80.57/52.88 tff(32223,plain,
% 80.57/52.88 (node20(c_e_h_2, c_k, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13773, 348, 32222, 32220])).
% 80.57/52.88 tff(32224,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13777, 22, 32223])).
% 80.57/52.88 tff(32225,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13781, 2538, 32224])).
% 80.57/52.88 tff(32226,plain,
% 80.57/52.88 (m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13848, 32225, 13646, 13537])).
% 80.57/52.88 tff(32227,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13856, 32226])).
% 80.57/52.88 tff(32228,plain,
% 80.57/52.88 (node20(c_e_h_2, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[13881, 32227])).
% 80.57/52.88 tff(32229,plain,
% 80.57/52.88 (m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[14220, 334, 32228])).
% 80.57/52.88 tff(32230,plain,
% 80.57/52.88 (~m_cell_v_ack(c_e_h_3, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[14216, 32229])).
% 80.57/52.88 tff(32231,plain,
% 80.57/52.88 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29808, 1820, 32230])).
% 80.57/52.88 tff(32232,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_2, c_k, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[14228, 32220, 13537, 13646, 13545])).
% 80.57/52.88 tff(32233,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_2, c_q, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[28803, 32232])).
% 80.57/52.88 tff(32234,plain,
% 80.57/52.88 (~m_cell_v_ack(c_e_h_3, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[14029, 32233])).
% 80.57/52.88 tff(32235,plain,
% 80.57/52.88 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[28950, 1820, 32234])).
% 80.57/52.88 tff(32236,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29912, 32231])).
% 80.57/52.88 tff(32237,plain,
% 80.57/52.88 (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29920, 32236])).
% 80.57/52.88 tff(32238,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30018, 32237])).
% 80.57/52.88 tff(32239,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30026, 32238])).
% 80.57/52.88 tff(32240,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_i, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30034, 32239])).
% 80.57/52.88 tff(32241,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30058, 32240])).
% 80.57/52.88 tff(32242,plain,
% 80.57/52.88 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30066, 32241])).
% 80.57/52.88 tff(32243,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3520, 32242])).
% 80.57/52.88 tff(32244,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8406, 32243])).
% 80.57/52.88 tff(32245,plain,
% 80.57/52.88 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s8)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8478, 32244])).
% 80.57/52.88 tff(32246,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_2, c_q, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[28932, 32233])).
% 80.57/52.88 tff(32247,plain,
% 80.57/52.88 (~m_cell_v_ack(c_e_h_3, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[28941, 32246])).
% 80.57/52.88 tff(32248,plain,
% 80.57/52.88 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[28945, 1820, 32247])).
% 80.57/52.88 tff(32249,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31284, 30941])).
% 80.57/52.88 tff(32250,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_c, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32007, 32249])).
% 80.57/52.88 tff(32251,plain,
% 80.57/52.88 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31023, 30941])).
% 80.57/52.88 tff(32252,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31030, 32251])).
% 80.57/52.88 tff(32253,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_c, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31038, 32252])).
% 80.57/52.88 tff(32254,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31061, 32253])).
% 80.57/52.88 tff(32255,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_c, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31277, 32254, 32250])).
% 80.57/52.88 tff(32256,plain,
% 80.57/52.88 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31071, 32254])).
% 80.57/52.88 tff(32257,plain,
% 80.57/52.88 (m_or_h_gate_v_in1(c_e_h_3, c_g, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32027, 32256, 30061, 9088, 31064])).
% 80.57/52.88 tff(32258,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31251, 32257, 32255])).
% 80.57/52.88 tff(32259,plain,(m_mutex_h_half_v_out(c_e_h_3, c_a, s3) | m_and_h_gate_v_out(c_e_h_3, c_i, s5) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_or_h_gate_v_out(c_e_h_3, c_g, s3)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32260,plain,
% 80.57/52.88 (m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32259, 31064, 9088, 30061])).
% 80.57/52.88 tff(32261,plain,
% 80.57/52.88 (m_mutex_h_half_v_out(c_e_h_3, c_a, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30868, 32260])).
% 80.57/52.88 tff(32262,plain,
% 80.57/52.88 (m_mutex_h_half_v_out(c_e_h_3, c_a, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30955, 32261])).
% 80.57/52.88 tff(32263,plain,
% 80.57/52.88 (m_mutex_h_half_v_out(c_e_h_3, c_a, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31994, 32262])).
% 80.57/52.88 tff(32264,plain,
% 80.57/52.88 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31897, 32263])).
% 80.57/52.88 tff(32265,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31883, 32264])).
% 80.57/52.88 tff(32266,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[8406, 32015])).
% 80.57/52.88 tff(32267,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30996, 32260])).
% 80.57/52.88 tff(32268,plain,
% 80.57/52.88 (~m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3538, 32267])).
% 80.57/52.88 tff(32269,plain,
% 80.57/52.88 (~m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3628, 32268, 32015])).
% 80.57/52.88 tff(32270,plain,
% 80.57/52.88 (m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[9129, 32269, 9088, 32266])).
% 80.57/52.88 tff(32271,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[3423, 32270])).
% 80.57/52.88 tff(32272,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31291, 32271, 32265, 31064, 9088])).
% 80.57/52.88 tff(32273,plain,(m_or_h_gate_v_out(c_e_h_3, c_g, s3) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_and_h_gate_v_out(c_e_h_3, c_i, s5)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32274,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32273, 9088, 32013])).
% 80.57/52.88 tff(32275,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32046, 32274, 30463, 29814, 30462, 9088])).
% 80.57/52.88 tff(32276,plain,
% 80.57/52.88 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31731, 32275, 30461])).
% 80.57/52.88 tff(32277,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31735, 1740, 32276])).
% 80.57/52.88 tff(32278,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_3, c_k, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31344, 32274])).
% 80.57/52.88 tff(32279,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31672, 32277, 30463, 29814])).
% 80.57/52.88 tff(32280,plain,
% 80.57/52.88 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31587, 32279])).
% 80.57/52.88 tff(32281,plain,
% 80.57/52.88 (node21(c_e_h_3, c_l, s2, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31592, 32280])).
% 80.57/52.88 tff(32282,plain,
% 80.57/52.88 (node20(c_e_h_3, c_l, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31579, 32281, 32279])).
% 80.57/52.88 tff(32283,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31333, 32274])).
% 80.57/52.88 tff(32284,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31337, 13754, 32283])).
% 80.57/52.88 tff(32285,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31798, 32279, 31597])).
% 80.57/52.88 tff(32286,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32067, 32285])).
% 80.57/52.88 tff(32287,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31792, 32286, 32284])).
% 80.57/52.88 tff(32288,plain,
% 80.57/52.88 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31563, 2031, 32287])).
% 80.57/52.88 tff(32289,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31567, 22, 32288, 32282])).
% 80.57/52.88 tff(32290,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_and_h_gate_v_out(c_e_h_3, c_l, s4) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32291,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32290, 9088, 30463, 29814, 30462])).
% 80.57/52.88 tff(32292,plain,
% 80.57/52.88 (m_and_h_gate_v_out(c_e_h_3, c_l, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31594, 32284, 32291, 32278])).
% 80.57/52.88 tff(32293,plain,
% 80.57/52.88 (~node4(c_e_h_3, c_j, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31397, 32292])).
% 80.57/52.88 tff(32294,plain,
% 80.57/52.88 (~node6(c_e_h_3, c_j, s3, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31666, 32277, 30459])).
% 80.57/52.88 tff(32295,plain,
% 80.57/52.88 (node5(c_e_h_3, c_j, s3, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31656, 32294])).
% 80.57/52.88 tff(32296,plain,
% 80.57/52.88 (m_or_h_gate_v_in1(c_e_h_3, c_j, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31648, 32295, 30463, 32277])).
% 80.57/52.88 tff(32297,plain,
% 80.57/52.88 (~node4(c_e_h_3, c_j, s3)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31780, 6717, 32296])).
% 80.57/52.88 tff(32298,plain,
% 80.57/52.88 (m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32071, 32291])).
% 80.57/52.88 tff(32299,assumption,(node4(c_e_h_3, c_j, s4)), introduced(assumption)).
% 80.57/52.88 tff(32300,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31806, 6717, 32299, 31596])).
% 80.57/52.88 tff(32301,plain,((~node4(c_e_h_3, c_j, s4)) | (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32302,plain,
% 80.57/52.88 (~node4(c_e_h_3, c_j, s4)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32301, 32298])).
% 80.57/52.88 tff(32303,plain,
% 80.57/52.88 (~node20(c_e_h_3, c_i, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31868, 32302, 32297])).
% 80.57/52.88 tff(32304,plain,
% 80.57/52.88 (~m_and_h_gate_v_out(c_e_h_3, c_i, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30497, 32303, 32013])).
% 80.57/52.88 tff(32305,plain,
% 80.57/52.88 (node20(c_e_h_3, c_i, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30572, 32304, 9088, 32030])).
% 80.57/52.88 tff(32306,plain,
% 80.57/52.88 (m_and_h_gate_v_in2(c_e_h_3, c_i, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31348, 334, 32305])).
% 80.57/52.88 tff(32307,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_3, c_j, s6)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31352, 6608, 32306])).
% 80.57/52.88 tff(32308,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_3, c_j, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31385, 32307, 32293])).
% 80.57/52.88 tff(32309,plain,
% 80.57/52.88 (~node6(c_e_h_3, c_j, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31839, 32308, 32277])).
% 80.57/52.88 tff(32310,plain,
% 80.57/52.88 (~node5(c_e_h_3, c_j, s4, s5)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31829, 32308, 32302])).
% 80.57/52.88 tff(32311,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[31622, 32310, 32309])).
% 80.57/52.88 tff(32312,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9) | m_or_h_gate_v_in2(c_e_h_3, c_j, s3) | m_or_h_gate_v_in2(c_e_h_3, c_j, s2) | m_or_h_gate_v_in2(c_e_h_3, c_j, s4)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32313,plain,
% 80.57/52.88 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32312, 32235, 32231, 32248])).
% 80.57/52.88 tff(32314,plain,
% 80.57/52.88 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[9133, 224, 32313])).
% 80.57/52.88 tff(32315,plain,
% 80.57/52.88 (~node9(c_e_h_3, c_n, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[9137, 238, 32314])).
% 80.57/52.88 tff(32316,plain,
% 80.57/52.88 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[6587, 32212, 26379])).
% 80.57/52.88 tff(32317,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[6072, 32316])).
% 80.57/52.88 tff(32318,plain,
% 80.57/52.88 (~m_c_h_element_v_in1(c_e_h_1, c_h, s10)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29200, 6503, 8169])).
% 80.57/52.88 tff(32319,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_1, c_g, s9)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[26737, 6503, 6435, 6423])).
% 80.57/52.88 tff(32320,plain,
% 80.57/52.88 (m_or_h_gate_v_out(c_e_h_1, c_g, s10)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29156, 32319, 29056])).
% 80.57/52.88 tff(32321,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29208, 32320, 32318])).
% 80.57/52.88 tff(32322,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s10)) | node4(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s11) | m_c_h_element_v_in1(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_h, s8)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32323,plain,
% 80.57/52.88 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32322, 32212, 29056, 26378, 6423])).
% 80.57/52.88 tff(32324,plain,
% 80.57/52.88 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))),
% 80.57/52.88 inference(rewrite,[status(thm)],[])).
% 80.57/52.88 tff(32325,plain,
% 80.57/52.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11))),
% 80.57/52.88 inference(quant_inst,[status(thm)],[])).
% 80.57/52.88 tff(32326,plain,
% 80.57/52.88 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_out(I0, c_h, X)) | m_and_h_gate_v_in1(I0, c_i, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.57/52.88 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 80.57/52.88 tff(32327,plain,
% 80.57/52.88 ($false),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32326, 30226, 8083, 8177])).
% 80.57/52.88 tff(32328,plain,(m_and_h_gate_v_in1(c_e_h_1, c_i, s11) | (~m_c_h_element_v_out(c_e_h_1, c_h, s11))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.88 tff(32329,plain,
% 80.57/52.88 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[32328, 32323])).
% 80.57/52.88 tff(32330,plain,
% 80.57/52.88 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[29098, 32323, 29057])).
% 80.57/52.88 tff(32331,plain,
% 80.57/52.88 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.57/52.88 inference(unit_resolution,[status(thm)],[30081, 32330])).
% 80.57/52.88 tff(32332,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)), introduced(assumption)).
% 80.57/52.88 tff(32333,plain,
% 80.57/52.88 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_i, s11) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 80.57/52.88 inference(rewrite,[status(thm)],[])).
% 80.57/52.88 tff(32334,plain,
% 80.57/52.88 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | (m_and_h_gate_v_in2(c_e_h_1, c_i, s11) | m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 80.57/52.88 inference(quant_inst,[status(thm)],[])).
% 80.57/52.88 tff(32335,plain,
% 80.57/52.89 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_i, X) | m_or_h_gate_v_out(I0, c_j, X))) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32334, 32333])).
% 80.57/52.89 tff(32336,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32335, 30203, 8826, 32332])).
% 80.57/52.89 tff(32337,plain,(m_and_h_gate_v_in2(c_e_h_1, c_i, s11) | m_or_h_gate_v_out(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32338,plain,
% 80.57/52.89 (m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32337, 32331])).
% 80.57/52.89 tff(32339,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_i, s11)), introduced(assumption)).
% 80.57/52.89 tff(32340,plain,
% 80.57/52.89 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27530, 27525])).
% 80.57/52.89 tff(32341,plain,
% 80.57/52.89 (~node20(c_e_h_1, c_q, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27538, 32340])).
% 80.57/52.89 tff(32342,plain,
% 80.57/52.89 (m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27560, 32341, 25999])).
% 80.57/52.89 tff(32343,plain,
% 80.57/52.89 (m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[26882, 32342, 15878, 20035, 15889])).
% 80.57/52.89 tff(32344,plain,
% 80.57/52.89 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[26776, 32343])).
% 80.57/52.89 tff(32345,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32346,plain,
% 80.57/52.89 (((~node21(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)) <=> ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32347,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12))))),
% 80.57/52.89 inference(monotonicity,[status(thm)],[32346])).
% 80.57/52.89 tff(32348,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(transitivity,[status(thm)],[32347, 32345])).
% 80.57/52.89 tff(32349,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12))),
% 80.57/52.89 inference(quant_inst,[status(thm)],[])).
% 80.57/52.89 tff(32350,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node21(c_e_h_1, c_i, s11, s12))),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32349, 32348])).
% 80.57/52.89 tff(32351,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32350, 7190, 8359, 8343, 32339, 8168])).
% 80.57/52.89 tff(32352,plain,((~node21(c_e_h_1, c_i, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32353,plain,
% 80.57/52.89 (~node21(c_e_h_1, c_i, s11, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32352, 8343, 32339, 8168])).
% 80.57/52.89 tff(32354,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32355,plain,
% 80.57/52.89 ((m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32356,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12))))),
% 80.57/52.89 inference(monotonicity,[status(thm)],[32355])).
% 80.57/52.89 tff(32357,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)))),
% 80.57/52.89 inference(transitivity,[status(thm)],[32356, 32354])).
% 80.57/52.89 tff(32358,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)))),
% 80.57/52.89 inference(quant_inst,[status(thm)],[])).
% 80.57/52.89 tff(32359,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~node22(c_e_h_1, c_i, s11, s12))),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32358, 32357])).
% 80.57/52.89 tff(32360,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32359, 6905, 8373, 8351, 8343])).
% 80.57/52.89 tff(32361,plain,((~node22(c_e_h_1, c_i, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32362,plain,
% 80.57/52.89 (~node22(c_e_h_1, c_i, s11, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32361, 8343, 8373])).
% 80.57/52.89 tff(32363,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[8369, 32362, 32353])).
% 80.57/52.89 tff(32364,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11))), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32365,plain,
% 80.57/52.89 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32364, 32344, 32339, 8168])).
% 80.57/52.89 tff(32366,plain,
% 80.57/52.89 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32367,plain,
% 80.57/52.89 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12))),
% 80.57/52.89 inference(quant_inst,[status(thm)],[])).
% 80.57/52.89 tff(32368,plain,
% 80.57/52.89 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 80.57/52.89 tff(32369,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32368, 25891, 27452, 8350])).
% 80.57/52.89 tff(32370,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s12)) | m_c_h_element_v_in2(c_e_h_1, c_f, s12)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32371,plain,
% 80.57/52.89 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32370, 32365])).
% 80.57/52.89 tff(32372,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32373,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(quant_inst,[status(thm)],[])).
% 80.57/52.89 tff(32374,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node18(c_e_h_1, c_f, s12, s13))),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 80.57/52.89 tff(32375,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32374, 6627, 26781, 27525, 27430])).
% 80.57/52.89 tff(32376,plain,((~node18(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32377,plain,
% 80.57/52.89 (~node18(c_e_h_1, c_f, s12, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32376, 27525, 26781])).
% 80.57/52.89 tff(32378,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32379,plain,
% 80.57/52.89 ((m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~node15(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12))) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32380,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~node15(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13))))),
% 80.57/52.89 inference(monotonicity,[status(thm)],[32379])).
% 80.57/52.89 tff(32381,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~node15(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(transitivity,[status(thm)],[32380, 32378])).
% 80.57/52.89 tff(32382,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~node15(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)))),
% 80.57/52.89 inference(quant_inst,[status(thm)],[])).
% 80.57/52.89 tff(32383,plain,
% 80.57/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | (~node15(c_e_h_1, c_f, s12, s13))),
% 80.57/52.89 inference(modus_ponens,[status(thm)],[32382, 32381])).
% 80.57/52.89 tff(32384,plain,
% 80.57/52.89 ($false),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32383, 20664, 26781, 27525, 27461])).
% 80.57/52.89 tff(32385,plain,((~node15(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13)), inference(lemma,lemma(discharge,[]))).
% 80.57/52.89 tff(32386,plain,
% 80.57/52.89 (~node15(c_e_h_1, c_f, s12, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32385, 27525, 26781])).
% 80.57/52.89 tff(32387,plain,
% 80.57/52.89 (m_c_h_element_v_in1(c_e_h_1, c_f, s12) | (~node17(c_e_h_1, c_f, s12))),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27484, 1172, 27422])).
% 80.57/52.89 tff(32388,plain,
% 80.57/52.89 (m_c_h_element_v_in1(c_e_h_1, c_f, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[32387, 27468])).
% 80.57/52.89 tff(32389,assumption,(~node15(c_e_h_1, c_f, s12, s13)), introduced(assumption)).
% 80.57/52.89 tff(32390,plain,
% 80.57/52.89 (~node16(c_e_h_1, c_f, s12)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27495, 27468])).
% 80.57/52.89 tff(32391,plain,
% 80.57/52.89 (node14(c_e_h_1, c_f, s12, s13)),
% 80.57/52.89 inference(unit_resolution,[status(thm)],[27503, 32390, 32389])).
% 80.57/52.89 tff(32392,assumption,(m_c_h_element_v_in1(c_e_h_1, c_f, s12)), introduced(assumption)).
% 80.57/52.89 tff(32393,plain,
% 80.57/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.57/52.89 inference(rewrite,[status(thm)],[])).
% 80.57/52.89 tff(32394,plain,
% 80.57/52.89 (((~node14(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13)) <=> (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.63/52.89 inference(rewrite,[status(thm)],[])).
% 80.63/52.89 tff(32395,plain,
% 80.63/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13))))),
% 80.63/52.89 inference(monotonicity,[status(thm)],[32394])).
% 80.63/52.89 tff(32396,plain,
% 80.63/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13)))),
% 80.63/52.89 inference(transitivity,[status(thm)],[32395, 32393])).
% 80.63/52.89 tff(32397,plain,
% 80.63/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_f, s12, s13)) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13))),
% 80.63/52.89 inference(quant_inst,[status(thm)],[])).
% 80.63/52.89 tff(32398,plain,
% 80.63/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12)) | (~node14(c_e_h_1, c_f, s12, s13))),
% 80.63/52.89 inference(modus_ponens,[status(thm)],[32397, 32396])).
% 80.63/52.89 tff(32399,plain,
% 80.63/52.89 ($false),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[32398, 20645, 27525, 27506, 32392])).
% 80.63/52.89 tff(32400,plain,((~node14(c_e_h_1, c_f, s12, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in1(c_e_h_1, c_f, s12))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.89 tff(32401,plain,
% 80.63/52.89 ($false),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[32400, 32391, 32388, 27525])).
% 80.63/52.89 tff(32402,plain,((~node17(c_e_h_1, c_f, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s13) | node15(c_e_h_1, c_f, s12, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.89 tff(32403,plain,
% 80.63/52.89 (~node17(c_e_h_1, c_f, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[32402, 32386, 27422, 27525])).
% 80.63/52.89 tff(32404,plain,
% 80.63/52.89 ($false),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[27450, 32403, 32377])).
% 80.63/52.89 tff(32405,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_f, s12))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.89 tff(32406,plain,
% 80.63/52.89 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[32405, 32371, 27525])).
% 80.63/52.89 tff(32407,plain,
% 80.63/52.89 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[26847, 397, 32406])).
% 80.63/52.89 tff(32408,plain,
% 80.63/52.89 (node20(c_e_h_1, c_q, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[26880, 32342, 26867])).
% 80.63/52.89 tff(32409,plain,
% 80.63/52.89 ($false),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[26851, 22, 32408, 32407])).
% 80.63/52.89 tff(32410,plain,(m_c_h_element_v_out(c_e_h_1, c_f, s13) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.89 tff(32411,plain,
% 80.63/52.89 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[32410, 32338, 32329, 20776, 20772, 18973, 20258, 25999])).
% 80.63/52.89 tff(32412,plain,
% 80.63/52.89 (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30145, 32411, 29043])).
% 80.63/52.89 tff(32413,plain,
% 80.63/52.89 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30152, 32412])).
% 80.63/52.89 tff(32414,plain,
% 80.63/52.89 (node20(c_e_h_1, c_i, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30185, 32413, 29042])).
% 80.63/52.89 tff(32415,plain,
% 80.63/52.89 (m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30189, 22, 32414])).
% 80.63/52.89 tff(32416,plain,
% 80.63/52.89 (m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30193, 8, 32415])).
% 80.63/52.89 tff(32417,plain,
% 80.63/52.89 (m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30299, 32416, 29057])).
% 80.63/52.89 tff(32418,plain,
% 80.63/52.89 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30303, 1740, 32417])).
% 80.63/52.89 tff(32419,plain,
% 80.63/52.89 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s10)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[9160, 9139, 9147])).
% 80.63/52.89 tff(32420,plain,
% 80.63/52.89 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s10)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[9169, 320, 32419])).
% 80.63/52.89 tff(32421,plain,
% 80.63/52.89 (~node20(c_e_h_3, c_q, s10)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[9173, 334, 32420])).
% 80.63/52.89 tff(32422,plain,
% 80.63/52.89 (~m_and_h_gate_v_in2(c_e_h_3, c_q, s9)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[8574, 320, 9139])).
% 80.63/52.89 tff(32423,plain,
% 80.63/52.89 (~node20(c_e_h_3, c_q, s9)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[8578, 334, 32422])).
% 80.63/52.89 tff(32424,plain,
% 80.63/52.89 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.63/52.89 inference(unit_resolution,[status(thm)],[30452, 32421, 8826, 30308, 30307])).
% 80.63/52.89 tff(32425,assumption,(~node4(c_e_h_1, c_j, s9)), introduced(assumption)).
% 80.63/52.89 tff(32426,assumption,(node5(c_e_h_1, c_j, s9, s10)), introduced(assumption)).
% 80.63/52.89 tff(32427,plain,
% 80.63/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.89 inference(rewrite,[status(thm)],[])).
% 80.63/52.89 tff(32428,plain,
% 80.63/52.89 ((node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.89 inference(rewrite,[status(thm)],[])).
% 80.63/52.89 tff(32429,plain,
% 80.63/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10))))),
% 80.63/52.89 inference(monotonicity,[status(thm)],[32428])).
% 80.63/52.89 tff(32430,plain,
% 80.63/52.89 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.89 inference(transitivity,[status(thm)],[32429, 32427])).
% 80.63/52.89 tff(32431,plain,
% 80.63/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10))),
% 80.63/52.89 inference(quant_inst,[status(thm)],[])).
% 80.63/52.89 tff(32432,plain,
% 80.63/52.89 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | (~node5(c_e_h_1, c_j, s9, s10))),
% 80.63/52.89 inference(modus_ponens,[status(thm)],[32431, 32430])).
% 80.63/52.90 tff(32433,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32432, 6671, 32426, 6060, 32425])).
% 80.63/52.90 tff(32434,plain,((~node5(c_e_h_1, c_j, s9, s10)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32435,plain,
% 80.63/52.90 (~node5(c_e_h_1, c_j, s9, s10)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32434, 6060, 32425])).
% 80.63/52.90 tff(32436,plain,
% 80.63/52.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32437,plain,
% 80.63/52.90 ((m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32438,plain,
% 80.63/52.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10))))),
% 80.63/52.90 inference(monotonicity,[status(thm)],[32437])).
% 80.63/52.90 tff(32439,plain,
% 80.63/52.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)))),
% 80.63/52.90 inference(transitivity,[status(thm)],[32438, 32436])).
% 80.63/52.90 tff(32440,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32441,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~node6(c_e_h_1, c_j, s9, s10))),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32440, 32439])).
% 80.63/52.90 tff(32442,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32441, 6691, 6023, 5663, 6060])).
% 80.63/52.90 tff(32443,plain,((~node6(c_e_h_1, c_j, s9, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | m_or_h_gate_v_out(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32444,plain,
% 80.63/52.90 (~node6(c_e_h_1, c_j, s9, s10)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32443, 6060, 5663])).
% 80.63/52.90 tff(32445,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[6046, 32444, 32435])).
% 80.63/52.90 tff(32446,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s10) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | node4(c_e_h_1, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32447,plain,
% 80.63/52.90 (node4(c_e_h_1, c_j, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32446, 32424, 5663])).
% 80.63/52.90 tff(32448,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32449,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32450,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in2(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32449, 32448])).
% 80.63/52.90 tff(32451,plain,
% 80.63/52.90 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32450, 29051, 32447])).
% 80.63/52.90 tff(32452,assumption,(m_cell_v_ack(c_e_h_1, s9)), introduced(assumption)).
% 80.63/52.90 tff(32453,plain,
% 80.63/52.90 (((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | ((~m_cell_v_ack(c_e_h_1, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | (~m_cell_v_ack(c_e_h_1, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32454,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | ((~m_cell_v_ack(c_e_h_1, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32455,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_cell_v_ack(I0, X)) | m_or_h_gate_v_in2(I0, c_j, X))) | (~m_cell_v_ack(c_e_h_1, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 80.63/52.90 tff(32456,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32455, 30426, 32452, 6020])).
% 80.63/52.90 tff(32457,plain,((~m_cell_v_ack(c_e_h_1, s9)) | m_or_h_gate_v_in2(c_e_h_1, c_j, s9)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32458,plain,
% 80.63/52.90 (~m_cell_v_ack(c_e_h_1, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32457, 32451])).
% 80.63/52.90 tff(32459,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32460,plain,
% 80.63/52.90 ((m_cell_v_ack(c_e_h_1, s9) | (~node3(c_e_h_3, c_e_h_1, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9))) <=> (m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32461,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s9) | (~node3(c_e_h_3, c_e_h_1, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9))))),
% 80.63/52.90 inference(monotonicity,[status(thm)],[32460])).
% 80.63/52.90 tff(32462,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s9) | (~node3(c_e_h_3, c_e_h_1, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)))) <=> ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9)))),
% 80.63/52.90 inference(transitivity,[status(thm)],[32461, 32459])).
% 80.63/52.90 tff(32463,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | (m_cell_v_ack(c_e_h_1, s9) | (~node3(c_e_h_3, c_e_h_1, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32464,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, J0: $i] : (m_cell_v_ack(J0, X) | (~node3(I0, J0, X)) | (~m_and_h_gate_v_out(I0, c_q, X)))) | m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)) | (~node3(c_e_h_3, c_e_h_1, s9))),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32463, 32462])).
% 80.63/52.90 tff(32465,plain,
% 80.63/52.90 (m_cell_v_ack(c_e_h_1, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s9))),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32464, 14187, 3727])).
% 80.63/52.90 tff(32466,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32465, 32458])).
% 80.63/52.90 tff(32467,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8602, 32466, 32423])).
% 80.63/52.90 tff(32468,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[9194, 32467, 32421])).
% 80.63/52.90 tff(32469,plain,
% 80.63/52.90 (~m_cell_v_ack(c_e_h_1, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30409, 32468])).
% 80.63/52.90 tff(32470,plain,
% 80.63/52.90 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30400, 1820, 32469])).
% 80.63/52.90 tff(32471,plain,
% 80.63/52.90 (~node5(c_e_h_1, c_j, s11, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30396, 30307, 30386, 30387])).
% 80.63/52.90 tff(32472,plain,
% 80.63/52.90 (~node6(c_e_h_1, c_j, s11, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30317, 30307, 8826])).
% 80.63/52.90 tff(32473,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30325, 32472, 32471])).
% 80.63/52.90 tff(32474,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11) | m_or_h_gate_v_in2(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32475,plain,
% 80.63/52.90 (m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32474, 32470, 8826, 30307])).
% 80.63/52.90 tff(32476,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32477,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32478,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)) | (~node4(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32477, 32476])).
% 80.63/52.90 tff(32479,plain,
% 80.63/52.90 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32478, 6717, 32447])).
% 80.63/52.90 tff(32480,plain,
% 80.63/52.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32481,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32482,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32481, 32480])).
% 80.63/52.90 tff(32483,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32482, 30351, 32479])).
% 80.63/52.90 tff(32484,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8783, 32483, 8759])).
% 80.63/52.90 tff(32485,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30376, 32484, 30308])).
% 80.63/52.90 tff(32486,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30384, 32485, 32475])).
% 80.63/52.90 tff(32487,plain,(m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9) | node20(c_e_h_1, c_l, s10) | m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | node20(c_e_h_1, c_l, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | node9(c_e_h_3, c_n, s9)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32488,plain,
% 80.63/52.90 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32487, 32331, 29025, 32418, 26396, 32317, 32315])).
% 80.63/52.90 tff(32489,plain,
% 80.63/52.90 (node9(c_e_h_3, c_n, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8570, 32488, 32245])).
% 80.63/52.90 tff(32490,plain,
% 80.63/52.90 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8549, 238, 32489])).
% 80.63/52.90 tff(32491,plain,
% 80.63/52.90 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8545, 224, 32490])).
% 80.63/52.90 tff(32492,plain,
% 80.63/52.90 (node20(c_e_h_3, c_i, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32105, 32491, 32240])).
% 80.63/52.90 tff(32493,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_3, c_i, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30477, 22, 32492])).
% 80.63/52.90 tff(32494,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_3, c_h, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30473, 8, 32493])).
% 80.63/52.90 tff(32495,plain,
% 80.63/52.90 (m_c_h_element_v_in2(c_e_h_3, c_h, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31731, 32494, 32238])).
% 80.63/52.90 tff(32496,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_3, c_j, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31735, 1740, 32495])).
% 80.63/52.90 tff(32497,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_3, c_l, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31672, 32496, 32235, 32231])).
% 80.63/52.90 tff(32498,plain,
% 80.63/52.90 (~node22(c_e_h_3, c_l, s2, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31587, 32497])).
% 80.63/52.90 tff(32499,plain,
% 80.63/52.90 (node21(c_e_h_3, c_l, s2, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31592, 32498])).
% 80.63/52.90 tff(32500,plain,
% 80.63/52.90 (node20(c_e_h_3, c_l, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31579, 32499, 32497])).
% 80.63/52.90 tff(32501,plain,
% 80.63/52.90 (m_c_h_element_v_in2(c_e_h_3, c_f, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32128, 32491, 32242])).
% 80.63/52.90 tff(32502,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32159, 32501, 32491])).
% 80.63/52.90 tff(32503,plain,
% 80.63/52.90 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[3628, 32502, 32243])).
% 80.63/52.90 tff(32504,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[3538, 32503])).
% 80.63/52.90 tff(32505,plain,
% 80.63/52.90 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30996, 32504])).
% 80.63/52.90 tff(32506,plain,
% 80.63/52.90 (~m_mutex_h_half_v_out(c_e_h_3, c_a, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31023, 32505])).
% 80.63/52.90 tff(32507,plain,
% 80.63/52.90 (~m_and_h_gate_v_in1(c_e_h_3, c_c, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31030, 32506])).
% 80.63/52.90 tff(32508,plain,
% 80.63/52.90 (~node20(c_e_h_3, c_c, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31038, 32507])).
% 80.63/52.90 tff(32509,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_c, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31061, 32508])).
% 80.63/52.90 tff(32510,plain,
% 80.63/52.90 (~m_or_h_gate_v_in1(c_e_h_3, c_g, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31071, 32509])).
% 80.63/52.90 tff(32511,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_3, c_g, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32171, 32510, 32491])).
% 80.63/52.90 tff(32512,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_3, c_g, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31333, 32511])).
% 80.63/52.90 tff(32513,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_3, c_k, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31337, 13754, 32512])).
% 80.63/52.90 tff(32514,plain,
% 80.63/52.90 (node4(c_e_h_3, c_j, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32203, 32491, 32238])).
% 80.63/52.90 tff(32515,plain,
% 80.63/52.90 (~m_or_h_gate_v_in1(c_e_h_3, c_j, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32301, 32514])).
% 80.63/52.90 tff(32516,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_l, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32071, 32515])).
% 80.63/52.90 tff(32517,plain,
% 80.63/52.90 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31798, 32497, 32516])).
% 80.63/52.90 tff(32518,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_k, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32067, 32517])).
% 80.63/52.90 tff(32519,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_k, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31792, 32518, 32513])).
% 80.63/52.90 tff(32520,plain,
% 80.63/52.90 (~m_and_h_gate_v_in1(c_e_h_3, c_l, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31563, 2031, 32519])).
% 80.63/52.90 tff(32521,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[31567, 22, 32520, 32500])).
% 80.63/52.90 tff(32522,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s12) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | node4(c_e_h_1, c_g, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_or_h_gate_v_out(c_e_h_2, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32523,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32522, 29055, 29043, 25999, 29042, 6423, 12655, 12654, 17541, 29041])).
% 80.63/52.90 tff(32524,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30229, 30226, 32523])).
% 80.63/52.90 tff(32525,plain,
% 80.63/52.90 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[26776, 28957])).
% 80.63/52.90 tff(32526,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[26882, 32525, 20772, 18973, 20258])).
% 80.63/52.90 tff(32527,plain,
% 80.63/52.90 (node20(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27560, 32526, 25999])).
% 80.63/52.90 tff(32528,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27538, 32527])).
% 80.63/52.90 tff(32529,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27530, 32528])).
% 80.63/52.90 tff(32530,plain,
% 80.63/52.90 (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30145, 32529, 29043])).
% 80.63/52.90 tff(32531,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30152, 32530])).
% 80.63/52.90 tff(32532,plain,
% 80.63/52.90 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[26843, 32525, 20773])).
% 80.63/52.90 tff(32533,plain,
% 80.63/52.90 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27516, 32529, 32532])).
% 80.63/52.90 tff(32534,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27427, 32533])).
% 80.63/52.90 tff(32535,plain,
% 80.63/52.90 (~node22(c_e_h_1, c_i, s12, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30162, 32534, 32531])).
% 80.63/52.90 tff(32536,plain,
% 80.63/52.90 (node21(c_e_h_1, c_i, s12, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8946, 32535])).
% 80.63/52.90 tff(32537,plain,
% 80.63/52.90 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30214, 7190, 32531, 32536, 32524])).
% 80.63/52.90 tff(32538,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30207, 32537])).
% 80.63/52.90 tff(32539,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30452, 32538, 9176, 29025, 29010])).
% 80.63/52.90 tff(32540,plain,
% 80.63/52.90 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32541,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32542,plain,
% 80.63/52.90 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32541, 32540])).
% 80.63/52.90 tff(32543,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32542, 6608, 8796, 32339])).
% 80.63/52.90 tff(32544,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32545,plain,
% 80.63/52.90 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32544, 32539])).
% 80.63/52.90 tff(32546,plain,
% 80.63/52.90 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32547,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32548,plain,
% 80.63/52.90 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 80.63/52.90 tff(32549,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32548, 334, 32545, 29006])).
% 80.63/52.90 tff(32550,plain,(m_or_h_gate_v_in2(c_e_h_1, c_g, s8) | node20(c_e_h_3, c_q, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_user_v_ack(c_e_h_1, c_u, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s14) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32551,plain,
% 80.63/52.90 (m_or_h_gate_v_in2(c_e_h_1, c_g, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32550, 26374, 9176, 12654, 21061, 18547, 17541, 21070, 9493, 25855, 12655, 6423, 25881])).
% 80.63/52.90 tff(32552,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_1, c_d, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[26505, 32551])).
% 80.63/52.90 tff(32553,plain,
% 80.63/52.90 (m_mutex_h_half_v_inp(c_e_h_1, c_b, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13511, 32552])).
% 80.63/52.90 tff(32554,plain,
% 80.63/52.90 (m_cell_v_req(c_e_h_2, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13520, 32553])).
% 80.63/52.90 tff(32555,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_2, c_p, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13528, 32554])).
% 80.63/52.90 tff(32556,plain,
% 80.63/52.90 (node20(c_e_h_2, c_p, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13685, 32555, 13663])).
% 80.63/52.90 tff(32557,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_2, c_p, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13693, 32556])).
% 80.63/52.90 tff(32558,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_2, c_k, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13701, 32557])).
% 80.63/52.90 tff(32559,assumption,(~node20(c_e_h_2, c_k, s4)), introduced(assumption)).
% 80.63/52.90 tff(32560,plain,
% 80.63/52.90 (~node22(c_e_h_2, c_k, s4, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13764, 13704, 13545])).
% 80.63/52.90 tff(32561,plain,
% 80.63/52.90 (node21(c_e_h_2, c_k, s4, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13769, 32560])).
% 80.63/52.90 tff(32562,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13773, 348, 32561, 13704, 32559])).
% 80.63/52.90 tff(32563,plain,((~m_and_h_gate_v_out(c_e_h_2, c_k, s5)) | node20(c_e_h_2, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32564,plain,
% 80.63/52.90 (node20(c_e_h_2, c_k, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32563, 32558])).
% 80.63/52.90 tff(32565,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_2, c_k, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13777, 22, 32564])).
% 80.63/52.90 tff(32566,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_2, c_g, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13781, 2538, 32565])).
% 80.63/52.90 tff(32567,plain,
% 80.63/52.90 (m_or_h_gate_v_in1(c_e_h_2, c_g, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13848, 32566, 13646, 13537])).
% 80.63/52.90 tff(32568,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_2, c_c, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13856, 32567])).
% 80.63/52.90 tff(32569,plain,
% 80.63/52.90 (node20(c_e_h_2, c_c, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[13881, 32568])).
% 80.63/52.90 tff(32570,plain,
% 80.63/52.90 (m_and_h_gate_v_in2(c_e_h_2, c_c, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[14220, 334, 32569])).
% 80.63/52.90 tff(32571,plain,
% 80.63/52.90 (~m_cell_v_ack(c_e_h_3, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[14216, 32570])).
% 80.63/52.90 tff(32572,plain,
% 80.63/52.90 (~m_or_h_gate_v_in2(c_e_h_3, c_j, s2)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[29808, 1820, 32571])).
% 80.63/52.90 tff(32573,plain,
% 80.63/52.90 (m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32312, 32572, 28951, 28946])).
% 80.63/52.90 tff(32574,plain,
% 80.63/52.90 (~m_or_h_gate_v_out(c_e_h_3, c_j, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[29912, 32572])).
% 80.63/52.90 tff(32575,plain,
% 80.63/52.90 (~m_c_h_element_v_in2(c_e_h_3, c_h, s3)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[29920, 32574])).
% 80.63/52.90 tff(32576,plain,
% 80.63/52.90 (~m_c_h_element_v_out(c_e_h_3, c_h, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30018, 32575])).
% 80.63/52.90 tff(32577,plain,
% 80.63/52.90 (~m_and_h_gate_v_in1(c_e_h_3, c_i, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30026, 32576])).
% 80.63/52.90 tff(32578,plain,
% 80.63/52.90 (~node20(c_e_h_3, c_i, s4)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30034, 32577])).
% 80.63/52.90 tff(32579,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_3, c_i, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30058, 32578])).
% 80.63/52.90 tff(32580,plain,
% 80.63/52.90 (~m_c_h_element_v_in2(c_e_h_3, c_f, s5)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30066, 32579])).
% 80.63/52.90 tff(32581,plain,
% 80.63/52.90 (~m_c_h_element_v_out(c_e_h_3, c_f, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[3520, 32580])).
% 80.63/52.90 tff(32582,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[26882, 27419, 15878, 20035, 27947])).
% 80.63/52.90 tff(32583,plain,
% 80.63/52.90 (node20(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27560, 32582, 25999])).
% 80.63/52.90 tff(32584,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27538, 32583])).
% 80.63/52.90 tff(32585,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27530, 32584])).
% 80.63/52.90 tff(32586,plain,
% 80.63/52.90 (~m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30145, 32585, 29043])).
% 80.63/52.90 tff(32587,plain,
% 80.63/52.90 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30152, 32586])).
% 80.63/52.90 tff(32588,assumption,(~node20(c_e_h_1, c_k, s4)), introduced(assumption)).
% 80.63/52.90 tff(32589,assumption,(m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)), introduced(assumption)).
% 80.63/52.90 tff(32590,plain,
% 80.63/52.90 (node20(c_e_h_1, c_i, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30185, 32587, 29042])).
% 80.63/52.90 tff(32591,plain,
% 80.63/52.90 (m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30189, 22, 32590])).
% 80.63/52.90 tff(32592,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30193, 8, 32591])).
% 80.63/52.90 tff(32593,plain,
% 80.63/52.90 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27516, 27420, 27415])).
% 80.63/52.90 tff(32594,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27427, 32593])).
% 80.63/52.90 tff(32595,plain,
% 80.63/52.90 (~node22(c_e_h_1, c_i, s12, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30162, 32594, 8962])).
% 80.63/52.90 tff(32596,plain,
% 80.63/52.90 (node21(c_e_h_1, c_i, s12, s13)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8946, 32595])).
% 80.63/52.90 tff(32597,plain,
% 80.63/52.90 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[30305, 32596, 30195, 8962])).
% 80.63/52.90 tff(32598,plain,
% 80.63/52.90 (~m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[9133, 224, 32589])).
% 80.63/52.90 tff(32599,plain,
% 80.63/52.90 (~node9(c_e_h_3, c_n, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[9137, 238, 32598])).
% 80.63/52.90 tff(32600,plain,
% 80.63/52.90 (node20(c_e_h_1, c_i, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[27518, 8184, 27415, 17539])).
% 80.63/52.90 tff(32601,plain,
% 80.63/52.90 (m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32548, 334, 32600])).
% 80.63/52.90 tff(32602,plain,
% 80.63/52.90 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32544, 32601])).
% 80.63/52.90 tff(32603,plain,
% 80.63/52.90 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32487, 32602, 30308, 32599, 8759, 5663, 32597])).
% 80.63/52.90 tff(32604,plain,
% 80.63/52.90 (node9(c_e_h_3, c_n, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8570, 32603, 30545])).
% 80.63/52.90 tff(32605,plain,
% 80.63/52.90 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8549, 238, 32604])).
% 80.63/52.90 tff(32606,plain,
% 80.63/52.90 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8545, 224, 32605])).
% 80.63/52.90 tff(32607,plain,
% 80.63/52.90 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8541, 32606, 30538])).
% 80.63/52.90 tff(32608,plain,
% 80.63/52.90 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[8483, 32607])).
% 80.63/52.90 tff(32609,plain,
% 80.63/52.90 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[3628, 32608, 3542])).
% 80.63/52.90 tff(32610,plain,
% 80.63/52.90 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[3538, 32609])).
% 80.63/52.90 tff(32611,plain,
% 80.63/52.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node11(c_e_h_3, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node11(c_e_h_3, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32612,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node11(c_e_h_3, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32613,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node11(I0, I1, X, Y)) | m_and_h_gate_h_init_v_out(I0, I1, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node11(c_e_h_3, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.63/52.90 inference(modus_ponens,[status(thm)],[32612, 32611])).
% 80.63/52.90 tff(32614,plain,
% 80.63/52.90 ($false),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32613, 282, 8486, 32589, 9104])).
% 80.63/52.90 tff(32615,plain,((~node11(c_e_h_3, c_m, s8, s9)) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.90 tff(32616,plain,
% 80.63/52.90 (~node11(c_e_h_3, c_m, s8, s9)),
% 80.63/52.90 inference(unit_resolution,[status(thm)],[32615, 32589, 8486])).
% 80.63/52.90 tff(32617,assumption,(~node9(c_e_h_3, c_m, s8)), introduced(assumption)).
% 80.63/52.90 tff(32618,assumption,(node10(c_e_h_3, c_m, s8, s9)), introduced(assumption)).
% 80.63/52.90 tff(32619,plain,
% 80.63/52.90 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node10(c_e_h_3, c_m, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node10(c_e_h_3, c_m, s8, s9)))),
% 80.63/52.90 inference(rewrite,[status(thm)],[])).
% 80.63/52.90 tff(32620,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | (node9(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node10(c_e_h_3, c_m, s8, s9)))),
% 80.63/52.90 inference(quant_inst,[status(thm)],[])).
% 80.63/52.90 tff(32621,plain,
% 80.63/52.90 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node9(I0, I1, X) | (~m_and_h_gate_h_init_v_out(I0, I1, Y)) | (~node10(I0, I1, X, Y)))) | node9(c_e_h_3, c_m, s8) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | (~node10(c_e_h_3, c_m, s8, s9))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 80.63/52.91 tff(32622,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32621, 252, 32589, 32618, 32617])).
% 80.63/52.91 tff(32623,plain,((~node10(c_e_h_3, c_m, s8, s9)) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | node9(c_e_h_3, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32624,plain,
% 80.63/52.91 (~node10(c_e_h_3, c_m, s8, s9)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32623, 32589, 32617])).
% 80.63/52.91 tff(32625,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[9117, 32624, 32616])).
% 80.63/52.91 tff(32626,plain,((~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | node9(c_e_h_3, c_m, s8) | m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32627,plain,
% 80.63/52.91 (node9(c_e_h_3, c_m, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32626, 32606, 32589])).
% 80.63/52.91 tff(32628,plain,
% 80.63/52.91 (((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32629,plain,
% 80.63/52.91 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | ((~node9(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32630,plain,
% 80.63/52.91 ((~![I0: $i, X: $i, I1: $i] : ((~node9(I0, I1, X)) | m_and_h_gate_h_init_v_in1(I0, I1, X))) | (~node9(c_e_h_3, c_m, s8)) | m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 80.63/52.91 tff(32631,plain,
% 80.63/52.91 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32630, 12334, 32627])).
% 80.63/52.91 tff(32632,plain,
% 80.63/52.91 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32633,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | ((~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8)))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32634,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_in1(I0, c_m, X)) | (~m_c_h_element_v_out(I0, c_f, X)))) | (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 80.63/52.91 tff(32635,plain,
% 80.63/52.91 (~m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32634, 12345, 32631])).
% 80.63/52.91 tff(32636,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s8)), introduced(assumption)).
% 80.63/52.91 tff(32637,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32638,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32639,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node18(c_e_h_3, c_f, s7, s8))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32638, 32637])).
% 80.63/52.91 tff(32640,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32639, 6627, 32636, 3541, 3640])).
% 80.63/52.91 tff(32641,plain,((~node18(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32642,plain,
% 80.63/52.91 (~node18(c_e_h_3, c_f, s7, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32641, 32636, 3541])).
% 80.63/52.91 tff(32643,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32644,plain,
% 80.63/52.91 ((m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node15(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32645,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node15(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8))))),
% 80.63/52.91 inference(monotonicity,[status(thm)],[32644])).
% 80.63/52.91 tff(32646,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node15(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(transitivity,[status(thm)],[32645, 32643])).
% 80.63/52.91 tff(32647,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node15(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32648,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7)) | (~node15(c_e_h_3, c_f, s7, s8))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32647, 32646])).
% 80.63/52.91 tff(32649,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32648, 20664, 32636, 3541, 3633])).
% 80.63/52.91 tff(32650,plain,((~node15(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32651,plain,
% 80.63/52.91 (~node15(c_e_h_3, c_f, s7, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32650, 32636, 3541])).
% 80.63/52.91 tff(32652,plain,
% 80.63/52.91 (node17(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[3657, 32642])).
% 80.63/52.91 tff(32653,plain,
% 80.63/52.91 ((~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[3666, 1172, 30564])).
% 80.63/52.91 tff(32654,plain,
% 80.63/52.91 (m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32653, 32652])).
% 80.63/52.91 tff(32655,assumption,(node14(c_e_h_3, c_f, s7, s8)), introduced(assumption)).
% 80.63/52.91 tff(32656,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32657,plain,
% 80.63/52.91 (((~node14(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s8)) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32658,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8))))),
% 80.63/52.91 inference(monotonicity,[status(thm)],[32657])).
% 80.63/52.91 tff(32659,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8)))),
% 80.63/52.91 inference(transitivity,[status(thm)],[32658, 32656])).
% 80.63/52.91 tff(32660,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_3, c_f, s7, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32661,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node14(c_e_h_3, c_f, s7, s8))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 80.63/52.91 tff(32662,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32661, 20645, 32636, 32655, 3418])).
% 80.63/52.91 tff(32663,plain,((~node14(c_e_h_3, c_f, s7, s8)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32664,plain,
% 80.63/52.91 (~node14(c_e_h_3, c_f, s7, s8)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32663, 32654, 32636])).
% 80.63/52.91 tff(32665,plain,
% 80.63/52.91 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32666,plain,
% 80.63/52.91 (((~node16(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32667,plain,
% 80.63/52.91 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7))))),
% 80.63/52.91 inference(monotonicity,[status(thm)],[32666])).
% 80.63/52.91 tff(32668,plain,
% 80.63/52.91 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7)))),
% 80.63/52.91 inference(transitivity,[status(thm)],[32667, 32665])).
% 80.63/52.91 tff(32669,plain,
% 80.63/52.91 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32670,plain,
% 80.63/52.91 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 80.63/52.91 tff(32671,plain,
% 80.63/52.91 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~node16(c_e_h_3, c_f, s7))),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32670, 1192, 30564])).
% 80.63/52.91 tff(32672,plain,
% 80.63/52.91 (~node16(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32671, 32654])).
% 80.63/52.91 tff(32673,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[3676, 32672, 32664, 32651])).
% 80.63/52.91 tff(32674,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32675,plain,
% 80.63/52.91 (~m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32674, 32636, 3541])).
% 80.63/52.91 tff(32676,plain,
% 80.63/52.91 ((~node17(c_e_h_3, c_f, s7)) | m_c_h_element_v_in2(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[30554, 541, 3418])).
% 80.63/52.91 tff(32677,plain,
% 80.63/52.91 (~node17(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32676, 32675])).
% 80.63/52.91 tff(32678,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[3657, 32677, 32642])).
% 80.63/52.91 tff(32679,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s7))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32680,plain,
% 80.63/52.91 (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32679, 32635, 32608])).
% 80.63/52.91 tff(32681,plain,
% 80.63/52.91 (^[I0: $i, X: $i] : refl(((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X)) <=> ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X)))),
% 80.63/52.91 inference(bind,[status(th)],[])).
% 80.63/52.91 tff(32682,plain,
% 80.63/52.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(quant_intro,[status(thm)],[32681])).
% 80.63/52.91 tff(32683,plain,
% 80.63/52.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X)) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32684,plain,
% 80.63/52.91 (^[I0: $i, X: $i] : rewrite((m_c_h_element_v_in1(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_d, X))) <=> ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X)))),
% 80.63/52.91 inference(bind,[status(th)],[])).
% 80.63/52.91 tff(32685,plain,
% 80.63/52.91 (![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_d, X))) <=> ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(quant_intro,[status(thm)],[32684])).
% 80.63/52.91 tff(32686,axiom,(![I0: $i, X: $i] : (m_c_h_element_v_in1(I0, c_f, X) | (~m_and_h_gate_v_out(I0, c_d, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_cell_23')).
% 80.63/52.91 tff(32687,plain,
% 80.63/52.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32686, 32685])).
% 80.63/52.91 tff(32688,plain,
% 80.63/52.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32687, 32683])).
% 80.63/52.91 tff(32689,plain,(
% 80.63/52.91 ![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(skolemize,[status(sab)],[32688])).
% 80.63/52.91 tff(32690,plain,
% 80.63/52.91 (![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32689, 32682])).
% 80.63/52.91 tff(32691,plain,
% 80.63/52.91 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32692,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32693,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_d, X)) | m_c_h_element_v_in1(I0, c_f, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 80.63/52.91 tff(32694,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32693, 32690, 3631, 3233])).
% 80.63/52.91 tff(32695,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s7)) | m_c_h_element_v_in1(c_e_h_3, c_f, s7)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32696,plain,
% 80.63/52.91 (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32695, 32680])).
% 80.63/52.91 tff(32697,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32698,plain,
% 80.63/52.91 ((m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32699,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7))))),
% 80.63/52.91 inference(monotonicity,[status(thm)],[32698])).
% 80.63/52.91 tff(32700,plain,
% 80.63/52.91 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.91 inference(transitivity,[status(thm)],[32699, 32697])).
% 80.63/52.91 tff(32701,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32702,plain,
% 80.63/52.91 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~node22(c_e_h_3, c_d, s6, s7))),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 80.63/52.91 tff(32703,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32702, 6905, 3294, 3317, 3417])).
% 80.63/52.91 tff(32704,plain,((~node22(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32705,plain,
% 80.63/52.91 (~node22(c_e_h_3, c_d, s6, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32704, 32696, 32610])).
% 80.63/52.91 tff(32706,plain,
% 80.63/52.91 (node21(c_e_h_3, c_d, s6, s7)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[3328, 32705])).
% 80.63/52.91 tff(32707,assumption,(m_c_h_element_v_in2(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.91 tff(32708,plain,
% 80.63/52.91 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32709,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32710,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 80.63/52.91 tff(32711,plain,
% 80.63/52.91 ($false),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32710, 4785, 32707, 2251])).
% 80.63/52.91 tff(32712,plain,((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_and_h_gate_v_out(c_e_h_3, c_i, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.91 tff(32713,plain,
% 80.63/52.91 (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)),
% 80.63/52.91 inference(unit_resolution,[status(thm)],[32712, 2250])).
% 80.63/52.91 tff(32714,assumption,(m_c_h_element_v_in2(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.91 tff(32715,plain,
% 80.63/52.91 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 80.63/52.91 inference(rewrite,[status(thm)],[])).
% 80.63/52.91 tff(32716,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3))),
% 80.63/52.91 inference(quant_inst,[status(thm)],[])).
% 80.63/52.91 tff(32717,plain,
% 80.63/52.91 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)),
% 80.63/52.91 inference(modus_ponens,[status(thm)],[32716, 32715])).
% 80.63/52.91 tff(32718,plain,
% 80.63/52.91 ($false),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32717, 4785, 2235, 32714])).
% 80.63/52.92 tff(32719,plain,((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_and_h_gate_v_out(c_e_h_3, c_i, s3)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.92 tff(32720,plain,
% 80.63/52.92 (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32719, 2020])).
% 80.63/52.92 tff(32721,assumption,(~m_c_h_element_v_out(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.92 tff(32722,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.92 tff(32723,assumption,(node18(c_e_h_3, c_e, s3, s4)), introduced(assumption)).
% 80.63/52.92 tff(32724,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32725,plain,
% 80.63/52.92 (((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~node18(c_e_h_3, c_e, s3, s4))) <=> (m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32726,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~node18(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4))))),
% 80.63/52.92 inference(monotonicity,[status(thm)],[32725])).
% 80.63/52.92 tff(32727,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~node18(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(transitivity,[status(thm)],[32726, 32724])).
% 80.63/52.92 tff(32728,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~node18(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32729,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node18(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32728, 32727])).
% 80.63/52.92 tff(32730,plain,
% 80.63/52.92 ($false),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32729, 481, 32721, 32722, 32723])).
% 80.63/52.92 tff(32731,plain,((~node18(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.92 tff(32732,plain,
% 80.63/52.92 (~node18(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32731, 32722, 32721])).
% 80.63/52.92 tff(32733,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32734,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s3, s4)) | node19(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32735,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s3, s4)) | node19(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32734, 32733])).
% 80.63/52.92 tff(32736,plain,
% 80.63/52.92 (node19(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32735, 494, 711])).
% 80.63/52.92 tff(32737,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32738,plain,
% 80.63/52.92 ((node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4))) <=> ((~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32739,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(monotonicity,[status(thm)],[32738])).
% 80.63/52.92 tff(32740,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4))),
% 80.63/52.92 inference(transitivity,[status(thm)],[32739, 32737])).
% 80.63/52.92 tff(32741,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32742,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32741, 32740])).
% 80.63/52.92 tff(32743,plain,
% 80.63/52.92 (node17(c_e_h_3, c_e, s3) | node18(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32742, 508, 32736])).
% 80.63/52.92 tff(32744,plain,
% 80.63/52.92 (node17(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32743, 32732])).
% 80.63/52.92 tff(32745,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.92 tff(32746,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32747,plain,
% 80.63/52.92 (((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3))) <=> (m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32748,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))))),
% 80.63/52.92 inference(monotonicity,[status(thm)],[32747])).
% 80.63/52.92 tff(32749,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(transitivity,[status(thm)],[32748, 32746])).
% 80.63/52.92 tff(32750,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32751,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 80.63/52.92 tff(32752,plain,
% 80.63/52.92 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32751, 541, 32745])).
% 80.63/52.92 tff(32753,plain,
% 80.63/52.92 (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32752, 32744])).
% 80.63/52.92 tff(32754,assumption,(node15(c_e_h_3, c_e, s3, s4)), introduced(assumption)).
% 80.63/52.92 tff(32755,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node15(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node15(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32756,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node15(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32757,plain,
% 80.63/52.92 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | (~node15(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 80.63/52.92 tff(32758,plain,
% 80.63/52.92 ($false),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32757, 612, 32721, 32722, 32754])).
% 80.63/52.92 tff(32759,plain,((~node15(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.92 tff(32760,plain,
% 80.63/52.92 (~node15(c_e_h_3, c_e, s3, s4)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32759, 32722, 32721])).
% 80.63/52.92 tff(32761,assumption,(node17(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.92 tff(32762,assumption,(node16(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.92 tff(32763,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_e, s3)), introduced(assumption)).
% 80.63/52.92 tff(32764,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32765,plain,
% 80.63/52.92 ((m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32766,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3))))),
% 80.63/52.92 inference(monotonicity,[status(thm)],[32765])).
% 80.63/52.92 tff(32767,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(transitivity,[status(thm)],[32766, 32764])).
% 80.63/52.92 tff(32768,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32769,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node17(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 80.63/52.92 tff(32770,plain,
% 80.63/52.92 ((~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32769, 1172, 32761])).
% 80.63/52.92 tff(32771,plain,
% 80.63/52.92 (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32770, 32763])).
% 80.63/52.92 tff(32772,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | m_c_h_element_v_in2(c_e_h_3, c_e, s3))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | m_c_h_element_v_in2(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32773,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | m_c_h_element_v_in2(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32774,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s3)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32773, 32772])).
% 80.63/52.92 tff(32775,plain,
% 80.63/52.92 (m_c_h_element_v_in1(c_e_h_3, c_e, s3) | m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32774, 559, 32762])).
% 80.63/52.92 tff(32776,plain,
% 80.63/52.92 ($false),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32775, 32771, 32763])).
% 80.63/52.92 tff(32777,plain,(m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node16(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.92 tff(32778,plain,
% 80.63/52.92 (m_c_h_element_v_in1(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32777, 32762, 32761])).
% 80.63/52.92 tff(32779,plain,
% 80.63/52.92 (m_c_h_element_v_in2(c_e_h_3, c_e, s3) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32751, 541, 32761])).
% 80.63/52.92 tff(32780,plain,
% 80.63/52.92 (m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32779, 32778])).
% 80.63/52.92 tff(32781,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32782,plain,
% 80.63/52.92 (((~node16(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(rewrite,[status(thm)],[])).
% 80.63/52.92 tff(32783,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3))))),
% 80.63/52.92 inference(monotonicity,[status(thm)],[32782])).
% 80.63/52.92 tff(32784,plain,
% 80.63/52.92 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(transitivity,[status(thm)],[32783, 32781])).
% 80.63/52.92 tff(32785,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)))),
% 80.63/52.92 inference(quant_inst,[status(thm)],[])).
% 80.63/52.92 tff(32786,plain,
% 80.63/52.92 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3)) | (~node16(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(modus_ponens,[status(thm)],[32785, 32784])).
% 80.63/52.92 tff(32787,plain,
% 80.63/52.92 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s3)) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s3))),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32786, 1192, 32762])).
% 80.63/52.92 tff(32788,plain,
% 80.63/52.92 ($false),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32787, 32780, 32778])).
% 80.63/52.92 tff(32789,plain,((~node16(c_e_h_3, c_e, s3)) | (~node17(c_e_h_3, c_e, s3))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.92 tff(32790,plain,
% 80.63/52.92 (~node16(c_e_h_3, c_e, s3)),
% 80.63/52.92 inference(unit_resolution,[status(thm)],[32789, 32744])).
% 80.63/52.92 tff(32791,plain,
% 80.63/52.92 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32792,plain,
% 80.63/52.93 ((node16(c_e_h_3, c_e, s3) | node14(c_e_h_3, c_e, s3, s4) | node15(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4))) <=> ((~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32793,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s3) | node14(c_e_h_3, c_e, s3, s4) | node15(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32792])).
% 80.63/52.93 tff(32794,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s3) | node14(c_e_h_3, c_e, s3, s4) | node15(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32793, 32791])).
% 80.63/52.93 tff(32795,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s3) | node14(c_e_h_3, c_e, s3, s4) | node15(c_e_h_3, c_e, s3, s4) | (~node19(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32796,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s3, s4)) | node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 80.63/52.93 tff(32797,plain,
% 80.63/52.93 (node16(c_e_h_3, c_e, s3) | node15(c_e_h_3, c_e, s3, s4) | node14(c_e_h_3, c_e, s3, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32796, 594, 32736])).
% 80.63/52.93 tff(32798,plain,
% 80.63/52.93 (node14(c_e_h_3, c_e, s3, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32797, 32790, 32760])).
% 80.63/52.93 tff(32799,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32800,plain,
% 80.63/52.93 (((~node14(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32801,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4))))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32800])).
% 80.63/52.93 tff(32802,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4)))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32801, 32799])).
% 80.63/52.93 tff(32803,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s3, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32804,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s3) | (~node14(c_e_h_3, c_e, s3, s4))),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 80.63/52.93 tff(32805,plain,
% 80.63/52.93 ($false),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32804, 575, 32722, 32798, 32753])).
% 80.63/52.93 tff(32806,plain,((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3) | m_c_h_element_v_out(c_e_h_3, c_e, s3)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.93 tff(32807,plain,
% 80.63/52.93 ((~m_c_h_element_v_out(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s3)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32806, 16922])).
% 80.63/52.93 tff(32808,plain,
% 80.63/52.93 (~m_c_h_element_v_out(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32807, 32720])).
% 80.63/52.93 tff(32809,assumption,(~m_c_h_element_v_out(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.93 tff(32810,assumption,(m_c_h_element_v_out(c_e_h_3, c_e, s5)), introduced(assumption)).
% 80.63/52.93 tff(32811,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.93 tff(32812,assumption,(node18(c_e_h_3, c_e, s4, s5)), introduced(assumption)).
% 80.63/52.93 tff(32813,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32814,plain,
% 80.63/52.93 (((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~node18(c_e_h_3, c_e, s4, s5))) <=> (m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32815,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~node18(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5))))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32814])).
% 80.63/52.93 tff(32816,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~node18(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32815, 32813])).
% 80.63/52.93 tff(32817,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~node18(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32818,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node18(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32817, 32816])).
% 80.63/52.93 tff(32819,plain,
% 80.63/52.93 ($false),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32818, 481, 32809, 32810, 32812])).
% 80.63/52.93 tff(32820,plain,((~node18(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.93 tff(32821,plain,
% 80.63/52.93 (~node18(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32820, 32810, 32809])).
% 80.63/52.93 tff(32822,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32823,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s4, s5)) | node19(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32824,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s4, s5)) | node19(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 80.63/52.93 tff(32825,plain,
% 80.63/52.93 (node19(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32824, 494, 930])).
% 80.63/52.93 tff(32826,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32827,plain,
% 80.63/52.93 ((node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5))) <=> ((~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32828,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32827])).
% 80.63/52.93 tff(32829,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32828, 32826])).
% 80.63/52.93 tff(32830,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32831,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32830, 32829])).
% 80.63/52.93 tff(32832,plain,
% 80.63/52.93 (node17(c_e_h_3, c_e, s4) | node18(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32831, 508, 32825])).
% 80.63/52.93 tff(32833,plain,
% 80.63/52.93 (node17(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32832, 32821])).
% 80.63/52.93 tff(32834,plain,
% 80.63/52.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32835,plain,
% 80.63/52.93 ((m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4))) <=> ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32836,plain,
% 80.63/52.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4)))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32835])).
% 80.63/52.93 tff(32837,plain,
% 80.63/52.93 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32836, 32834])).
% 80.63/52.93 tff(32838,plain,
% 80.63/52.93 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32839,plain,
% 80.63/52.93 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32838, 32837])).
% 80.63/52.93 tff(32840,plain,
% 80.63/52.93 ((~m_c_h_element_v_in2(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32839, 1172, 32833])).
% 80.63/52.93 tff(32841,plain,
% 80.63/52.93 (~m_c_h_element_v_in2(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32840, 32811])).
% 80.63/52.93 tff(32842,assumption,(~node16(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.93 tff(32843,assumption,(node14(c_e_h_3, c_e, s4, s5)), introduced(assumption)).
% 80.63/52.93 tff(32844,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32845,plain,
% 80.63/52.93 (((~node14(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32846,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5))))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32845])).
% 80.63/52.93 tff(32847,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32846, 32844])).
% 80.63/52.93 tff(32848,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32849,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | (~node14(c_e_h_3, c_e, s4, s5))),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32848, 32847])).
% 80.63/52.93 tff(32850,plain,
% 80.63/52.93 ($false),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32849, 575, 32810, 32843, 32811])).
% 80.63/52.93 tff(32851,plain,((~node14(c_e_h_3, c_e, s4, s5)) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.93 tff(32852,plain,
% 80.63/52.93 (~node14(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32851, 32810, 32811])).
% 80.63/52.93 tff(32853,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32854,plain,
% 80.63/52.93 ((node16(c_e_h_3, c_e, s4) | node14(c_e_h_3, c_e, s4, s5) | node15(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5))) <=> ((~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32855,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s4) | node14(c_e_h_3, c_e, s4, s5) | node15(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4)))),
% 80.63/52.93 inference(monotonicity,[status(thm)],[32854])).
% 80.63/52.93 tff(32856,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s4) | node14(c_e_h_3, c_e, s4, s5) | node15(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(transitivity,[status(thm)],[32855, 32853])).
% 80.63/52.93 tff(32857,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_e, s4) | node14(c_e_h_3, c_e, s4, s5) | node15(c_e_h_3, c_e, s4, s5) | (~node19(c_e_h_3, c_e, s4, s5)))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32858,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_e, s4, s5)) | node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 80.63/52.93 tff(32859,plain,
% 80.63/52.93 (node15(c_e_h_3, c_e, s4, s5) | node14(c_e_h_3, c_e, s4, s5) | node16(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32858, 594, 32825])).
% 80.63/52.93 tff(32860,plain,
% 80.63/52.93 (node15(c_e_h_3, c_e, s4, s5)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32859, 32852, 32842])).
% 80.63/52.93 tff(32861,plain,
% 80.63/52.93 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node15(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node15(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32862,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node15(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32863,plain,
% 80.63/52.93 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | (~node15(c_e_h_3, c_e, s4, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(modus_ponens,[status(thm)],[32862, 32861])).
% 80.63/52.93 tff(32864,plain,
% 80.63/52.93 ($false),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32863, 612, 32809, 32810, 32860])).
% 80.63/52.93 tff(32865,plain,((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | node16(c_e_h_3, c_e, s4) | m_c_h_element_v_in1(c_e_h_3, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.93 tff(32866,plain,
% 80.63/52.93 (node16(c_e_h_3, c_e, s4)),
% 80.63/52.93 inference(unit_resolution,[status(thm)],[32865, 32811, 32809, 32810])).
% 80.63/52.93 tff(32867,plain,
% 80.63/52.93 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(rewrite,[status(thm)],[])).
% 80.63/52.93 tff(32868,plain,
% 80.63/52.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))),
% 80.63/52.93 inference(quant_inst,[status(thm)],[])).
% 80.63/52.93 tff(32869,plain,
% 80.63/52.93 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_e, s4)) | m_c_h_element_v_in1(c_e_h_3, c_e, s4) | m_c_h_element_v_in2(c_e_h_3, c_e, s4)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32868, 32867])).
% 80.63/52.94 tff(32870,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32869, 559, 32866, 32841, 32811])).
% 80.63/52.94 tff(32871,plain,(m_c_h_element_v_in1(c_e_h_3, c_e, s4) | m_c_h_element_v_out(c_e_h_3, c_e, s4) | (~m_c_h_element_v_out(c_e_h_3, c_e, s5))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32872,plain,
% 80.63/52.94 (m_c_h_element_v_in1(c_e_h_3, c_e, s4)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32871, 32810, 32809])).
% 80.63/52.94 tff(32873,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_e, s4)), introduced(assumption)).
% 80.63/52.94 tff(32874,plain,
% 80.63/52.94 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32875,plain,
% 80.63/52.94 (((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4) | (~node17(c_e_h_3, c_e, s4))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32876,plain,
% 80.63/52.94 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4) | (~node17(c_e_h_3, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4)))),
% 80.63/52.94 inference(monotonicity,[status(thm)],[32875])).
% 80.63/52.94 tff(32877,plain,
% 80.63/52.94 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4) | (~node17(c_e_h_3, c_e, s4)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(transitivity,[status(thm)],[32876, 32874])).
% 80.63/52.94 tff(32878,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4) | (~node17(c_e_h_3, c_e, s4)))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32879,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 80.63/52.94 tff(32880,plain,
% 80.63/52.94 ((~m_c_h_element_v_in1(c_e_h_3, c_e, s4)) | (~node17(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32879, 541, 32873])).
% 80.63/52.94 tff(32881,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32880, 32833, 32872])).
% 80.63/52.94 tff(32882,plain,((~m_c_h_element_v_out(c_e_h_3, c_e, s5)) | m_c_h_element_v_in2(c_e_h_3, c_e, s4) | m_c_h_element_v_out(c_e_h_3, c_e, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32883,plain,
% 80.63/52.94 (~m_c_h_element_v_out(c_e_h_3, c_e, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32882, 32808, 32713])).
% 80.63/52.94 tff(32884,plain,
% 80.63/52.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s5))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32885,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s5))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32886,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s5)) | m_c_h_element_v_out(c_e_h_3, c_e, s5)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32885, 32884])).
% 80.63/52.94 tff(32887,plain,
% 80.63/52.94 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32886, 9234, 32883])).
% 80.63/52.94 tff(32888,plain,
% 80.63/52.94 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s5))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32889,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s5))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32890,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s5)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s5)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32889, 32888])).
% 80.63/52.94 tff(32891,plain,
% 80.63/52.94 (~node20(c_e_h_3, c_r, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32890, 22, 32887])).
% 80.63/52.94 tff(32892,plain,
% 80.63/52.94 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32893,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_r, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s4))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32894,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_r, X)) | m_c_h_element_v_out(I0, c_e, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_r, s4)) | m_c_h_element_v_out(c_e_h_3, c_e, s4)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32893, 32892])).
% 80.63/52.94 tff(32895,plain,
% 80.63/52.94 (~m_and_h_gate_v_in1(c_e_h_3, c_r, s4)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32894, 9234, 32808])).
% 80.63/52.94 tff(32896,plain,
% 80.63/52.94 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s4))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s4))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32897,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_r, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s4))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32898,plain,
% 80.63/52.94 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_r, s4)) | m_and_h_gate_v_in1(c_e_h_3, c_r, s4)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32897, 32896])).
% 80.63/52.94 tff(32899,plain,
% 80.63/52.94 (~node20(c_e_h_3, c_r, s4)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32898, 22, 32895])).
% 80.63/52.94 tff(32900,assumption,(~node20(c_e_h_3, c_r, s4)), introduced(assumption)).
% 80.63/52.94 tff(32901,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s5)), introduced(assumption)).
% 80.63/52.94 tff(32902,assumption,(node21(c_e_h_3, c_r, s4, s5)), introduced(assumption)).
% 80.63/52.94 tff(32903,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node21(c_e_h_3, c_r, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node21(c_e_h_3, c_r, s4, s5)))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32904,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node21(c_e_h_3, c_r, s4, s5)))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32905,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node21(c_e_h_3, c_r, s4, s5))),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32904, 32903])).
% 80.63/52.94 tff(32906,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32905, 348, 32902, 32900, 32901])).
% 80.63/52.94 tff(32907,plain,((~node21(c_e_h_3, c_r, s4, s5)) | node20(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32908,plain,
% 80.63/52.94 (~node21(c_e_h_3, c_r, s4, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32907, 32901, 32900])).
% 80.63/52.94 tff(32909,assumption,(node22(c_e_h_3, c_r, s4, s5)), introduced(assumption)).
% 80.63/52.94 tff(32910,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node22(c_e_h_3, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node22(c_e_h_3, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32911,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node22(c_e_h_3, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32912,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | (~node22(c_e_h_3, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 80.63/52.94 tff(32913,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32912, 437, 17055, 32909, 32901])).
% 80.63/52.94 tff(32914,plain,((~node22(c_e_h_3, c_r, s4, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s5))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32915,plain,
% 80.63/52.94 (~node22(c_e_h_3, c_r, s4, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32914, 32901, 17055])).
% 80.63/52.94 tff(32916,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_r, s4, s5) | node22(c_e_h_3, c_r, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_r, s4, s5) | node22(c_e_h_3, c_r, s4, s5))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32917,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_3, c_r, s4, s5) | node22(c_e_h_3, c_r, s4, s5))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32918,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_3, c_r, s4, s5) | node22(c_e_h_3, c_r, s4, s5)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 80.63/52.94 tff(32919,plain,
% 80.63/52.94 (node21(c_e_h_3, c_r, s4, s5) | node22(c_e_h_3, c_r, s4, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32918, 383, 930])).
% 80.63/52.94 tff(32920,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32919, 32915, 32908])).
% 80.63/52.94 tff(32921,plain,((~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | m_and_h_gate_v_out(c_e_h_3, c_r, s4) | node20(c_e_h_3, c_r, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32922,plain,
% 80.63/52.94 ((~m_and_h_gate_v_out(c_e_h_3, c_r, s5)) | node20(c_e_h_3, c_r, s4)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32921, 17054])).
% 80.63/52.94 tff(32923,plain,
% 80.63/52.94 (~m_and_h_gate_v_out(c_e_h_3, c_r, s5)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32922, 32899])).
% 80.63/52.94 tff(32924,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_r, s5)), introduced(assumption)).
% 80.63/52.94 tff(32925,assumption,(m_and_h_gate_v_out(c_e_h_3, c_r, s6)), introduced(assumption)).
% 80.63/52.94 tff(32926,assumption,(node22(c_e_h_3, c_r, s5, s6)), introduced(assumption)).
% 80.63/52.94 tff(32927,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node22(c_e_h_3, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node22(c_e_h_3, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s5))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32928,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node22(c_e_h_3, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s5))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32929,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node22(c_e_h_3, c_r, s5, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s5)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 80.63/52.94 tff(32930,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32929, 437, 32926, 32925, 32924])).
% 80.63/52.94 tff(32931,plain,((~node22(c_e_h_3, c_r, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32932,plain,
% 80.63/52.94 (~node22(c_e_h_3, c_r, s5, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32931, 32925, 32924])).
% 80.63/52.94 tff(32933,assumption,(~node20(c_e_h_3, c_r, s5)), introduced(assumption)).
% 80.63/52.94 tff(32934,assumption,(node21(c_e_h_3, c_r, s5, s6)), introduced(assumption)).
% 80.63/52.94 tff(32935,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node21(c_e_h_3, c_r, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node21(c_e_h_3, c_r, s5, s6)))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32936,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node21(c_e_h_3, c_r, s5, s6)))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32937,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_r, s5) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | (~node21(c_e_h_3, c_r, s5, s6))),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 80.63/52.94 tff(32938,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32937, 348, 32934, 32925, 32933])).
% 80.63/52.94 tff(32939,plain,((~node21(c_e_h_3, c_r, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | node20(c_e_h_3, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32940,plain,
% 80.63/52.94 (~node21(c_e_h_3, c_r, s5, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32939, 32925, 32933])).
% 80.63/52.94 tff(32941,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_r, s5, s6) | node22(c_e_h_3, c_r, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_r, s5, s6) | node22(c_e_h_3, c_r, s5, s6))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32942,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_3, c_r, s5, s6) | node22(c_e_h_3, c_r, s5, s6))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32943,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_3, c_r, s5, s6) | node22(c_e_h_3, c_r, s5, s6)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 80.63/52.94 tff(32944,plain,
% 80.63/52.94 (node21(c_e_h_3, c_r, s5, s6) | node22(c_e_h_3, c_r, s5, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32943, 383, 1343])).
% 80.63/52.94 tff(32945,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32944, 32940, 32932])).
% 80.63/52.94 tff(32946,plain,((~m_and_h_gate_v_out(c_e_h_3, c_r, s6)) | node20(c_e_h_3, c_r, s5) | m_and_h_gate_v_out(c_e_h_3, c_r, s5)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32947,plain,
% 80.63/52.94 (~m_and_h_gate_v_out(c_e_h_3, c_r, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32946, 32923, 32891])).
% 80.63/52.94 tff(32948,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_r, s6)), introduced(assumption)).
% 80.63/52.94 tff(32949,assumption,(m_user_v_ack(c_e_h_3, c_u, s6)), introduced(assumption)).
% 80.63/52.94 tff(32950,plain,
% 80.63/52.94 (((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s6))) <=> ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s6))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32951,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | ((~m_user_v_ack(c_e_h_3, c_u, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s6))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32952,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : ((~m_user_v_ack(I0, c_u, X)) | m_and_h_gate_v_out(I0, c_r, X))) | (~m_user_v_ack(c_e_h_3, c_u, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s6)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 80.63/52.94 tff(32953,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32952, 7367, 32949, 32948])).
% 80.63/52.94 tff(32954,plain,((~m_user_v_ack(c_e_h_3, c_u, s6)) | m_and_h_gate_v_out(c_e_h_3, c_r, s6)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32955,plain,
% 80.63/52.94 (~m_user_v_ack(c_e_h_3, c_u, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32954, 32947])).
% 80.63/52.94 tff(32956,plain,
% 80.63/52.94 (((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_d, s6) | m_user_v_ack(c_e_h_3, c_u, s6))) <=> ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_3, c_d, s6) | m_user_v_ack(c_e_h_3, c_u, s6))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32957,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | (m_and_h_gate_v_in2(c_e_h_3, c_d, s6) | m_user_v_ack(c_e_h_3, c_u, s6))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32958,plain,
% 80.63/52.94 ((~![I0: $i, X: $i] : (m_and_h_gate_v_in2(I0, c_d, X) | m_user_v_ack(I0, c_u, X))) | m_and_h_gate_v_in2(c_e_h_3, c_d, s6) | m_user_v_ack(c_e_h_3, c_u, s6)),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 80.63/52.94 tff(32959,plain,
% 80.63/52.94 (m_and_h_gate_v_in2(c_e_h_3, c_d, s6) | m_user_v_ack(c_e_h_3, c_u, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32958, 21369])).
% 80.63/52.94 tff(32960,plain,
% 80.63/52.94 (m_and_h_gate_v_in2(c_e_h_3, c_d, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32959, 32955])).
% 80.63/52.94 tff(32961,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32962,plain,
% 80.63/52.94 (((~node21(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)) <=> ((~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.94 inference(rewrite,[status(thm)],[])).
% 80.63/52.94 tff(32963,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7))))),
% 80.63/52.94 inference(monotonicity,[status(thm)],[32962])).
% 80.63/52.94 tff(32964,plain,
% 80.63/52.94 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7)))),
% 80.63/52.94 inference(transitivity,[status(thm)],[32963, 32961])).
% 80.63/52.94 tff(32965,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_3, c_d, s6, s7)) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))),
% 80.63/52.94 inference(quant_inst,[status(thm)],[])).
% 80.63/52.94 tff(32966,plain,
% 80.63/52.94 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_3, c_d, s6)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)) | (~node21(c_e_h_3, c_d, s6, s7))),
% 80.63/52.94 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 80.63/52.94 tff(32967,plain,
% 80.63/52.94 ($false),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32966, 7190, 32960, 3331, 3417, 31880])).
% 80.63/52.94 tff(32968,plain,((~node21(c_e_h_3, c_d, s6, s7)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.94 tff(32969,plain,
% 80.63/52.94 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.63/52.94 inference(unit_resolution,[status(thm)],[32968, 32706, 32696])).
% 80.63/52.94 tff(32970,plain,
% 80.63/52.94 (((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))) <=> ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32971,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(32972,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_mutex_h_half_v_out(I0, c_b, X)) | m_and_h_gate_v_in1(I0, c_d, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 80.63/52.95 tff(32973,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32972, 21393, 3386, 30464])).
% 80.63/52.95 tff(32974,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s6)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(32975,plain,
% 80.63/52.95 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32974, 32969])).
% 80.63/52.95 tff(32976,plain,
% 80.63/52.95 (m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3315, 9066, 3294])).
% 80.63/52.95 tff(32977,plain,
% 80.63/52.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_cell_v_req(c_e_h_1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_cell_v_req(c_e_h_1, s4))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32978,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_cell_v_req(c_e_h_1, s4))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(32979,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_cell_v_req(c_e_h_1, s4)),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[32978, 32977])).
% 80.63/52.95 tff(32980,plain,
% 80.63/52.95 (m_cell_v_req(c_e_h_1, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32979, 14352, 3045])).
% 80.63/52.95 tff(32981,plain,
% 80.63/52.95 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32982,plain,
% 80.63/52.95 (((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) <=> ((~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32983,plain,
% 80.63/52.95 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4))))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[32982])).
% 80.63/52.95 tff(32984,plain,
% 80.63/52.95 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4)))),
% 80.63/52.95 inference(transitivity,[status(thm)],[32983, 32981])).
% 80.63/52.95 tff(32985,plain,
% 80.63/52.95 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s4)) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(32986,plain,
% 80.63/52.95 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4) | (~node1(c_e_h_3, c_e_h_1, s4))),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[32985, 32984])).
% 80.63/52.95 tff(32987,plain,
% 80.63/52.95 ((~m_cell_v_req(c_e_h_1, s4)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32986, 14332, 3246])).
% 80.63/52.95 tff(32988,plain,
% 80.63/52.95 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32987, 32980])).
% 80.63/52.95 tff(32989,assumption,(m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)), introduced(assumption)).
% 80.63/52.95 tff(32990,assumption,(node12(c_e_h_3, c_b, s4, s5)), introduced(assumption)).
% 80.63/52.95 tff(32991,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32992,plain,
% 80.63/52.95 (((~node12(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(32993,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5))))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[32992])).
% 80.63/52.95 tff(32994,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5)))),
% 80.63/52.95 inference(transitivity,[status(thm)],[32993, 32991])).
% 80.63/52.95 tff(32995,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(32996,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node12(c_e_h_3, c_b, s4, s5))),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 80.63/52.95 tff(32997,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32996, 7301, 32990, 32989, 3279])).
% 80.63/52.95 tff(32998,plain,((~node12(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(32999,plain,
% 80.63/52.95 (~node12(c_e_h_3, c_b, s4, s5)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[32998, 32988, 3279])).
% 80.63/52.95 tff(33000,plain,
% 80.63/52.95 (node13(c_e_h_3, c_b, s4, s5)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3267, 32999])).
% 80.63/52.95 tff(33001,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33002,plain,
% 80.63/52.95 ((m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node13(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33003,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node13(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[33002])).
% 80.63/52.95 tff(33004,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node13(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5))),
% 80.63/52.95 inference(transitivity,[status(thm)],[33003, 33001])).
% 80.63/52.95 tff(33005,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~node13(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33006,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | (~node13(c_e_h_3, c_b, s4, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33005, 33004])).
% 80.63/52.95 tff(33007,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33006, 7277, 3257, 3126, 3279])).
% 80.63/52.95 tff(33008,plain,((~node13(c_e_h_3, c_b, s4, s5)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(33009,plain,
% 80.63/52.95 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33008, 33000, 3279])).
% 80.63/52.95 tff(33010,plain,
% 80.63/52.95 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3200, 33009])).
% 80.63/52.95 tff(33011,plain,
% 80.63/52.95 (~node20(c_e_h_3, c_d, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3208, 33010])).
% 80.63/52.95 tff(33012,plain,
% 80.63/52.95 (m_and_h_gate_v_out(c_e_h_3, c_d, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3228, 33011, 3153])).
% 80.63/52.95 tff(33013,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33014,plain,
% 80.63/52.95 ((m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node13(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))) <=> (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33015,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node13(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4))))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[33014])).
% 80.63/52.95 tff(33016,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node13(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(transitivity,[status(thm)],[33015, 33013])).
% 80.63/52.95 tff(33017,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node13(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33018,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~node13(c_e_h_3, c_b, s3, s4))),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 80.63/52.95 tff(33019,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33018, 7277, 3127, 3195, 3100])).
% 80.63/52.95 tff(33020,plain,((~node13(c_e_h_3, c_b, s3, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(33021,plain,
% 80.63/52.95 (~node13(c_e_h_3, c_b, s3, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33020, 3100, 3195])).
% 80.63/52.95 tff(33022,plain,
% 80.63/52.95 (node12(c_e_h_3, c_b, s3, s4)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3148, 33021])).
% 80.63/52.95 tff(33023,assumption,(m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)), introduced(assumption)).
% 80.63/52.95 tff(33024,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33025,plain,
% 80.63/52.95 (((~node12(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33026,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4))))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[33025])).
% 80.63/52.95 tff(33027,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4)))),
% 80.63/52.95 inference(transitivity,[status(thm)],[33026, 33024])).
% 80.63/52.95 tff(33028,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33029,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4) | (~node12(c_e_h_3, c_b, s3, s4))),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33028, 33027])).
% 80.63/52.95 tff(33030,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33029, 7301, 3135, 33023, 3195])).
% 80.63/52.95 tff(33031,plain,((~node12(c_e_h_3, c_b, s3, s4)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(33032,plain,
% 80.63/52.95 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33031, 33022, 3195])).
% 80.63/52.95 tff(33033,plain,
% 80.63/52.95 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s3)) | (~m_cell_v_req(c_e_h_1, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_cell_v_req(c_e_h_1, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33034,plain,
% 80.63/52.95 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s3)) | (~m_cell_v_req(c_e_h_1, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33035,plain,
% 80.63/52.95 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (~node1(c_e_h_3, c_e_h_1, s3)) | (~m_cell_v_req(c_e_h_1, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33034, 33033])).
% 80.63/52.95 tff(33036,plain,
% 80.63/52.95 ((~m_cell_v_req(c_e_h_1, s3)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33035, 14332, 3075])).
% 80.63/52.95 tff(33037,plain,
% 80.63/52.95 (~m_cell_v_req(c_e_h_1, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33036, 33032])).
% 80.63/52.95 tff(33038,plain,
% 80.63/52.95 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_cell_v_req(c_e_h_1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_cell_v_req(c_e_h_1, s3))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33039,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_cell_v_req(c_e_h_1, s3))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33040,plain,
% 80.63/52.95 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_cell_v_req(c_e_h_1, s3)),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 80.63/52.95 tff(33041,plain,
% 80.63/52.95 (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33040, 14352, 33037])).
% 80.63/52.95 tff(33042,plain,
% 80.63/52.95 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3123, 3100])).
% 80.63/52.95 tff(33043,plain,
% 80.63/52.95 (m_cell_v_req(c_e_h_1, s2)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3098, 33042])).
% 80.63/52.95 tff(33044,plain,
% 80.63/52.95 (m_and_h_gate_v_out(c_e_h_1, c_p, s2)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3086, 1036, 33043])).
% 80.63/52.95 tff(33045,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33046,plain,
% 80.63/52.95 ((m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2))) <=> (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3)))),
% 80.63/52.95 inference(rewrite,[status(thm)],[])).
% 80.63/52.95 tff(33047,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3))))),
% 80.63/52.95 inference(monotonicity,[status(thm)],[33046])).
% 80.63/52.95 tff(33048,plain,
% 80.63/52.95 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3)))),
% 80.63/52.95 inference(transitivity,[status(thm)],[33047, 33045])).
% 80.63/52.95 tff(33049,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node22(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)))),
% 80.63/52.95 inference(quant_inst,[status(thm)],[])).
% 80.63/52.95 tff(33050,plain,
% 80.63/52.95 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2)) | (~node22(c_e_h_1, c_p, s2, s3))),
% 80.63/52.95 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 80.63/52.95 tff(33051,plain,
% 80.63/52.95 ($false),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33050, 6905, 3011, 3046, 2989])).
% 80.63/52.95 tff(33052,plain,((~node22(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s2))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.95 tff(33053,plain,
% 80.63/52.95 (~node22(c_e_h_1, c_p, s2, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[33052, 33041, 33044])).
% 80.63/52.95 tff(33054,plain,
% 80.63/52.95 (node21(c_e_h_1, c_p, s2, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3041, 33053])).
% 80.63/52.95 tff(33055,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)), introduced(assumption)).
% 80.63/52.95 tff(33056,plain,
% 80.63/52.95 (~node20(c_e_h_1, c_p, s2)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3028, 22, 33055])).
% 80.63/52.95 tff(33057,plain,
% 80.63/52.95 (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3036, 33056, 3031])).
% 80.63/52.95 tff(33058,plain,
% 80.63/52.95 (node20(c_e_h_1, c_p, s3)),
% 80.63/52.95 inference(unit_resolution,[status(thm)],[3063, 33057, 3045])).
% 80.63/52.95 tff(33059,plain,
% 80.63/52.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))),
% 80.63/52.96 inference(rewrite,[status(thm)],[])).
% 80.63/52.96 tff(33060,plain,
% 80.63/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2))),
% 80.63/52.96 inference(quant_inst,[status(thm)],[])).
% 80.63/52.96 tff(33061,plain,
% 80.63/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s2)),
% 80.63/52.96 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 80.63/52.96 tff(33062,plain,
% 80.63/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_k, s2)),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[33061, 14241, 33055])).
% 80.63/52.96 tff(33063,plain,
% 80.63/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[2732, 33062])).
% 80.63/52.96 tff(33064,plain,
% 80.63/52.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[2970, 33063])).
% 80.63/52.96 tff(33065,plain,
% 80.63/52.96 ($false),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[2978, 33064, 33058])).
% 80.63/52.96 tff(33066,plain,(m_and_h_gate_v_in1(c_e_h_1, c_p, s2) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 80.63/52.96 tff(33067,plain,
% 80.63/52.96 (m_and_h_gate_v_in1(c_e_h_1, c_p, s2)),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[33066, 33054, 3045])).
% 80.63/52.96 tff(33068,plain,
% 80.63/52.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s2))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s2))),
% 80.63/52.96 inference(rewrite,[status(thm)],[])).
% 80.63/52.96 tff(33069,plain,
% 80.63/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s2))),
% 80.63/52.96 inference(quant_inst,[status(thm)],[])).
% 80.63/52.96 tff(33070,plain,
% 80.63/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s2)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s2)),
% 80.63/52.96 inference(modus_ponens,[status(thm)],[33069, 33068])).
% 80.63/52.96 tff(33071,plain,
% 80.63/52.96 (m_and_h_gate_v_in2(c_e_h_1, c_p, s2)),
% 80.63/52.96 inference(unit_resolution,[status(thm)],[33070, 14257, 4361])).
% 80.63/52.96 tff(33072,plain,
% 80.63/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)))),
% 80.63/52.96 inference(rewrite,[status(thm)],[])).
% 80.63/52.96 tff(33073,plain,
% 80.63/52.96 (((~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)))),
% 80.63/52.96 inference(rewrite,[status(thm)],[])).
% 80.63/52.96 tff(33074,plain,
% 80.63/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2))))),
% 80.70/52.96 inference(monotonicity,[status(thm)],[33073])).
% 80.70/52.96 tff(33075,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)))),
% 80.70/52.96 inference(transitivity,[status(thm)],[33074, 33072])).
% 80.70/52.96 tff(33076,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33077,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s2)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~node21(c_e_h_1, c_p, s2, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2))),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 80.70/52.96 tff(33078,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33077, 7190, 33071, 3031, 3046, 3019])).
% 80.70/52.96 tff(33079,plain,((~node21(c_e_h_1, c_p, s2, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s3) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33080,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33079, 33067, 33054, 33041])).
% 80.70/52.96 tff(33081,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s4)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33082,plain,
% 80.70/52.96 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33081, 33009, 3045])).
% 80.70/52.96 tff(33083,plain,
% 80.70/52.96 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3159, 33082])).
% 80.70/52.96 tff(33084,plain,
% 80.70/52.96 (~node20(c_e_h_3, c_d, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3167, 33083])).
% 80.70/52.96 tff(33085,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3191, 33084, 33012])).
% 80.70/52.96 tff(33086,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33087,plain,
% 80.70/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33086, 32976, 3279])).
% 80.70/52.96 tff(33088,plain,
% 80.70/52.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33089,plain,
% 80.70/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33090,plain,
% 80.70/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33089, 33088])).
% 80.70/52.96 tff(33091,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33090, 14241, 2594, 2972])).
% 80.70/52.96 tff(33092,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s3)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33093,plain,
% 80.70/52.96 (m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33092, 2594])).
% 80.70/52.96 tff(33094,plain,
% 80.70/52.96 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s3))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s3))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33095,plain,
% 80.70/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s3))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33096,plain,
% 80.70/52.96 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s3)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s3)),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33095, 33094])).
% 80.70/52.96 tff(33097,plain,
% 80.70/52.96 (m_and_h_gate_v_in2(c_e_h_1, c_p, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33096, 14257, 4560])).
% 80.70/52.96 tff(33098,assumption,(node21(c_e_h_1, c_p, s3, s4)), introduced(assumption)).
% 80.70/52.96 tff(33099,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33100,plain,
% 80.70/52.96 (((~node21(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)) <=> ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33101,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4))))),
% 80.70/52.96 inference(monotonicity,[status(thm)],[33100])).
% 80.70/52.96 tff(33102,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(transitivity,[status(thm)],[33101, 33099])).
% 80.70/52.96 tff(33103,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33104,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3)) | (~node21(c_e_h_1, c_p, s3, s4))),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 80.70/52.96 tff(33105,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33104, 7190, 33098, 33097, 3235, 2965])).
% 80.70/52.96 tff(33106,plain,((~node21(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s3))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33107,plain,
% 80.70/52.96 (~node21(c_e_h_1, c_p, s3, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33106, 33093, 3235])).
% 80.70/52.96 tff(33108,plain,
% 80.70/52.96 (node22(c_e_h_1, c_p, s3, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3057, 33107])).
% 80.70/52.96 tff(33109,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33110,plain,
% 80.70/52.96 ((m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33111,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4))))),
% 80.70/52.96 inference(monotonicity,[status(thm)],[33110])).
% 80.70/52.96 tff(33112,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)))),
% 80.70/52.96 inference(transitivity,[status(thm)],[33111, 33109])).
% 80.70/52.96 tff(33113,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33114,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~node22(c_e_h_1, c_p, s3, s4))),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33113, 33112])).
% 80.70/52.96 tff(33115,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33114, 6905, 3047, 3235, 2980])).
% 80.70/52.96 tff(33116,plain,((~node22(c_e_h_1, c_p, s3, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s3))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33117,plain,
% 80.70/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33116, 33108, 3235])).
% 80.70/52.96 tff(33118,plain,
% 80.70/52.96 (~m_cell_v_req(c_e_h_1, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3070, 33117])).
% 80.70/52.96 tff(33119,plain,
% 80.70/52.96 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3082, 33118])).
% 80.70/52.96 tff(33120,plain,
% 80.70/52.96 (m_mutex_h_half_v_out(c_e_h_3, c_b, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3230, 33119, 3153])).
% 80.70/52.96 tff(33121,plain,
% 80.70/52.96 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s2)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3123, 33120])).
% 80.70/52.96 tff(33122,plain,
% 80.70/52.96 (m_cell_v_req(c_e_h_1, s2)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3098, 33121])).
% 80.70/52.96 tff(33123,plain,
% 80.70/52.96 (m_and_h_gate_v_out(c_e_h_1, c_p, s2)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3086, 1036, 33122])).
% 80.70/52.96 tff(33124,plain,
% 80.70/52.96 (~node22(c_e_h_1, c_p, s2, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33052, 33123, 33117])).
% 80.70/52.96 tff(33125,plain,
% 80.70/52.96 (node21(c_e_h_1, c_p, s2, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3041, 33124])).
% 80.70/52.96 tff(33126,plain,
% 80.70/52.96 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s2)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33079, 33125, 33117])).
% 80.70/52.96 tff(33127,plain,
% 80.70/52.96 (m_and_h_gate_v_out(c_e_h_1, c_k, s2)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[2732, 2594])).
% 80.70/52.96 tff(33128,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33061, 14241, 33127, 33126])).
% 80.70/52.96 tff(33129,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s3)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33130,plain,
% 80.70/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33129, 33087, 32976])).
% 80.70/52.96 tff(33131,plain,
% 80.70/52.96 (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[2947, 33130])).
% 80.70/52.96 tff(33132,plain,
% 80.70/52.96 (node20(c_e_h_1, c_p, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3363, 33087, 3343])).
% 80.70/52.96 tff(33133,plain,
% 80.70/52.96 (m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[2963, 33132])).
% 80.70/52.96 tff(33134,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[2955, 33133, 33131])).
% 80.70/52.96 tff(33135,plain,(m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33136,plain,
% 80.70/52.96 (m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33135, 3343, 3294])).
% 80.70/52.96 tff(33137,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33138,plain,
% 80.70/52.96 ((m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5))) <=> ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33139,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6))))),
% 80.70/52.96 inference(monotonicity,[status(thm)],[33138])).
% 80.70/52.96 tff(33140,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)))),
% 80.70/52.96 inference(transitivity,[status(thm)],[33139, 33137])).
% 80.70/52.96 tff(33141,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)))),
% 80.70/52.96 inference(quant_inst,[status(thm)],[])).
% 80.70/52.96 tff(33142,plain,
% 80.70/52.96 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_mutex_h_half_v_out(I0, I1, Y) | (~node13(I0, I1, X, Y)) | (~m_mutex_h_half_v_out(I0, I1, X)))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~node13(c_e_h_3, c_b, s5, s6))),
% 80.70/52.96 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 80.70/52.96 tff(33143,plain,
% 80.70/52.96 ($false),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33142, 7277, 3397, 3255, 31881])).
% 80.70/52.96 tff(33144,plain,((~node13(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.96 tff(33145,plain,
% 80.70/52.96 (~node13(c_e_h_3, c_b, s5, s6)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[33144, 33136, 31881])).
% 80.70/52.96 tff(33146,plain,
% 80.70/52.96 (node12(c_e_h_3, c_b, s5, s6)),
% 80.70/52.96 inference(unit_resolution,[status(thm)],[3407, 33145])).
% 80.70/52.96 tff(33147,assumption,(m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)), introduced(assumption)).
% 80.70/52.96 tff(33148,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33149,plain,
% 80.70/52.96 (((~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.70/52.96 inference(rewrite,[status(thm)],[])).
% 80.70/52.96 tff(33150,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)))),
% 80.70/52.96 inference(monotonicity,[status(thm)],[33149])).
% 80.70/52.96 tff(33151,plain,
% 80.70/52.96 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33150, 33148])).
% 80.70/52.97 tff(33152,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | ((~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33153,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | (~m_mutex_h_half_v_inp(I0, I1, X)) | m_mutex_h_half_v_out(I0, I1, Y))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | (~node12(c_e_h_3, c_b, s5, s6)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 80.70/52.97 tff(33154,plain,
% 80.70/52.97 ($false),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33153, 7301, 33147, 3387, 31881])).
% 80.70/52.97 tff(33155,plain,((~node12(c_e_h_3, c_b, s5, s6)) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 80.70/52.97 tff(33156,plain,
% 80.70/52.97 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33155, 33146, 31881])).
% 80.70/52.97 tff(33157,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33158,plain,
% 80.70/52.97 (((~node1(c_e_h_3, c_e_h_1, s5)) | (~m_cell_v_req(c_e_h_1, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33159,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | (~m_cell_v_req(c_e_h_1, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5))))),
% 80.70/52.97 inference(monotonicity,[status(thm)],[33158])).
% 80.70/52.97 tff(33160,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | (~m_cell_v_req(c_e_h_1, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5)))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33159, 33157])).
% 80.70/52.97 tff(33161,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | ((~node1(c_e_h_3, c_e_h_1, s5)) | (~m_cell_v_req(c_e_h_1, s5)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33162,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | (~m_cell_v_req(J0, X)) | m_mutex_h_half_v_inp(I0, c_b, X))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5)) | (~node1(c_e_h_3, c_e_h_1, s5))),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 80.70/52.97 tff(33163,plain,
% 80.70/52.97 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s5) | (~m_cell_v_req(c_e_h_1, s5))),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33162, 14332, 3376])).
% 80.70/52.97 tff(33164,plain,
% 80.70/52.97 (~m_cell_v_req(c_e_h_1, s5)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33163, 33156])).
% 80.70/52.97 tff(33165,plain,
% 80.70/52.97 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_cell_v_req(c_e_h_1, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_cell_v_req(c_e_h_1, s5))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33166,plain,
% 80.70/52.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_cell_v_req(c_e_h_1, s5))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33167,plain,
% 80.70/52.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_p, X)) | m_cell_v_req(I0, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_cell_v_req(c_e_h_1, s5)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 80.70/52.97 tff(33168,plain,
% 80.70/52.97 ($false),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33167, 14352, 33164, 3343])).
% 80.70/52.97 tff(33169,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s5)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s6))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.97 tff(33170,plain,
% 80.70/52.97 (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33169, 32975, 32610])).
% 80.70/52.97 tff(33171,plain,
% 80.70/52.97 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[30452, 32602, 9176, 30308, 32597])).
% 80.70/52.97 tff(33172,plain,
% 80.70/52.97 (node4(c_e_h_1, c_j, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32446, 33171, 5663])).
% 80.70/52.97 tff(33173,plain,
% 80.70/52.97 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32450, 29051, 33172])).
% 80.70/52.97 tff(33174,plain,
% 80.70/52.97 (~m_cell_v_ack(c_e_h_1, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32457, 33173])).
% 80.70/52.97 tff(33175,plain,
% 80.70/52.97 (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32465, 33174])).
% 80.70/52.97 tff(33176,plain,
% 80.70/52.97 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32478, 6717, 33172])).
% 80.70/52.97 tff(33177,plain,
% 80.70/52.97 (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32482, 30351, 33176])).
% 80.70/52.97 tff(33178,plain,
% 80.70/52.97 (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[8783, 33177, 8759])).
% 80.70/52.97 tff(33179,plain,
% 80.70/52.97 (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[30376, 33178, 30308])).
% 80.70/52.97 tff(33180,plain,
% 80.70/52.97 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[30384, 33179])).
% 80.70/52.97 tff(33181,plain,
% 80.70/52.97 (m_or_h_gate_v_in2(c_e_h_1, c_j, s11)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[32474, 33180, 32597, 32602])).
% 80.70/52.97 tff(33182,plain,
% 80.70/52.97 (m_cell_v_ack(c_e_h_1, s11)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[30400, 1820, 33181])).
% 80.70/52.97 tff(33183,plain,
% 80.70/52.97 (m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[30409, 33182])).
% 80.70/52.97 tff(33184,plain,
% 80.70/52.97 (m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[9194, 33183, 9176])).
% 80.70/52.97 tff(33185,plain,
% 80.70/52.97 (node20(c_e_h_3, c_q, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[8602, 33184, 33175])).
% 80.70/52.97 tff(33186,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33187,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s9))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33188,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s9)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33187, 33186])).
% 80.70/52.97 tff(33189,plain,
% 80.70/52.97 (m_and_h_gate_v_in1(c_e_h_3, c_q, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33188, 22, 33185])).
% 80.70/52.97 tff(33190,plain,
% 80.70/52.97 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33191,plain,
% 80.70/52.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33192,plain,
% 80.70/52.97 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s9)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 80.70/52.97 tff(33193,plain,
% 80.70/52.97 (m_c_h_element_v_out(c_e_h_3, c_f, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33192, 397, 33189])).
% 80.70/52.97 tff(33194,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s8)), introduced(assumption)).
% 80.70/52.97 tff(33195,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s9)), introduced(assumption)).
% 80.70/52.97 tff(33196,assumption,(node18(c_e_h_3, c_f, s8, s9)), introduced(assumption)).
% 80.70/52.97 tff(33197,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33198,plain,
% 80.70/52.97 (((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node18(c_e_h_3, c_f, s8, s9))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33199,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node18(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9))))),
% 80.70/52.97 inference(monotonicity,[status(thm)],[33198])).
% 80.70/52.97 tff(33200,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node18(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33199, 33197])).
% 80.70/52.97 tff(33201,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~node18(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33202,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node18(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33201, 33200])).
% 80.70/52.97 tff(33203,plain,
% 80.70/52.97 ($false),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33202, 481, 32636, 33195, 33196])).
% 80.70/52.97 tff(33204,plain,((~node18(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.97 tff(33205,plain,
% 80.70/52.97 (~node18(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33204, 32636, 33195])).
% 80.70/52.97 tff(33206,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_3, c_f, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33207,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s8, s9)) | node19(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33208,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s8, s9)) | node19(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 80.70/52.97 tff(33209,plain,
% 80.70/52.97 (node19(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33208, 494, 3713])).
% 80.70/52.97 tff(33210,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33211,plain,
% 80.70/52.97 ((node17(c_e_h_3, c_f, s8) | node18(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9))) <=> (node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33212,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s8) | node18(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(monotonicity,[status(thm)],[33211])).
% 80.70/52.97 tff(33213,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s8) | node18(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33212, 33210])).
% 80.70/52.97 tff(33214,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s8) | node18(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33215,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s8) | (~node19(c_e_h_3, c_f, s8, s9)) | node18(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33214, 33213])).
% 80.70/52.97 tff(33216,plain,
% 80.70/52.97 (node17(c_e_h_3, c_f, s8) | node18(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33215, 508, 33209])).
% 80.70/52.97 tff(33217,plain,
% 80.70/52.97 (node17(c_e_h_3, c_f, s8)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33216, 33205])).
% 80.70/52.97 tff(33218,assumption,(~node14(c_e_h_3, c_f, s8, s9)), introduced(assumption)).
% 80.70/52.97 tff(33219,assumption,(node15(c_e_h_3, c_f, s8, s9)), introduced(assumption)).
% 80.70/52.97 tff(33220,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node15(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node15(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33221,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node15(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33222,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | (~node15(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 80.70/52.97 tff(33223,plain,
% 80.70/52.97 ($false),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33222, 612, 32636, 33195, 33219])).
% 80.70/52.97 tff(33224,plain,((~node15(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_out(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9))), inference(lemma,lemma(discharge,[]))).
% 80.70/52.97 tff(33225,plain,
% 80.70/52.97 (~node15(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33224, 32636, 33195])).
% 80.70/52.97 tff(33226,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33227,plain,
% 80.70/52.97 ((node16(c_e_h_3, c_f, s8) | node14(c_e_h_3, c_f, s8, s9) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9))) <=> (node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33228,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s8) | node14(c_e_h_3, c_f, s8, s9) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(monotonicity,[status(thm)],[33227])).
% 80.70/52.97 tff(33229,plain,
% 80.70/52.97 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s8) | node14(c_e_h_3, c_f, s8, s9) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33228, 33226])).
% 80.70/52.97 tff(33230,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s8) | node14(c_e_h_3, c_f, s8, s9) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33231,plain,
% 80.70/52.97 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | (~node19(c_e_h_3, c_f, s8, s9)) | node14(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 80.70/52.97 tff(33232,plain,
% 80.70/52.97 (node16(c_e_h_3, c_f, s8) | node15(c_e_h_3, c_f, s8, s9) | node14(c_e_h_3, c_f, s8, s9)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33231, 594, 33209])).
% 80.70/52.97 tff(33233,plain,
% 80.70/52.97 (node16(c_e_h_3, c_f, s8)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33232, 33225, 33218])).
% 80.70/52.97 tff(33234,assumption,(node17(c_e_h_3, c_f, s8)), introduced(assumption)).
% 80.70/52.97 tff(33235,assumption,(node16(c_e_h_3, c_f, s8)), introduced(assumption)).
% 80.70/52.97 tff(33236,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33237,plain,
% 80.70/52.97 ((m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8))) <=> ((~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33238,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8))))),
% 80.70/52.97 inference(monotonicity,[status(thm)],[33237])).
% 80.70/52.97 tff(33239,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.70/52.97 inference(transitivity,[status(thm)],[33238, 33236])).
% 80.70/52.97 tff(33240,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8)))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.70/52.97 tff(33241,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 80.70/52.97 tff(33242,plain,
% 80.70/52.97 (m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33241, 1172, 33234])).
% 80.70/52.97 tff(33243,plain,
% 80.70/52.97 (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.70/52.97 inference(unit_resolution,[status(thm)],[33242, 33194])).
% 80.70/52.97 tff(33244,plain,
% 80.70/52.97 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(rewrite,[status(thm)],[])).
% 80.70/52.97 tff(33245,plain,
% 80.70/52.97 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.70/52.97 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33246,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s8)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 80.72/52.98 tff(33247,plain,
% 80.72/52.98 (m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33246, 559, 33235])).
% 80.72/52.98 tff(33248,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33247, 33243, 33194])).
% 80.72/52.98 tff(33249,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node16(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33250,plain,
% 80.72/52.98 (m_c_h_element_v_in1(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33249, 33235, 33234])).
% 80.72/52.98 tff(33251,plain,
% 80.72/52.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33252,plain,
% 80.72/52.98 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8) | (~node17(c_e_h_3, c_f, s8))) <=> ((~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33253,plain,
% 80.72/52.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8) | (~node17(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.72/52.98 inference(monotonicity,[status(thm)],[33252])).
% 80.72/52.98 tff(33254,plain,
% 80.72/52.98 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8) | (~node17(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.72/52.98 inference(transitivity,[status(thm)],[33253, 33251])).
% 80.72/52.98 tff(33255,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8) | (~node17(c_e_h_3, c_f, s8)))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33256,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33255, 33254])).
% 80.72/52.98 tff(33257,plain,
% 80.72/52.98 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33256, 541, 33234])).
% 80.72/52.98 tff(33258,plain,
% 80.72/52.98 (m_c_h_element_v_in2(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33257, 33250])).
% 80.72/52.98 tff(33259,plain,
% 80.72/52.98 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33260,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8)))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33261,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~node16(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33260, 33259])).
% 80.72/52.98 tff(33262,plain,
% 80.72/52.98 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s8))),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33261, 1192, 33235])).
% 80.72/52.98 tff(33263,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33262, 33258, 33250])).
% 80.72/52.98 tff(33264,plain,((~node16(c_e_h_3, c_f, s8)) | (~node17(c_e_h_3, c_f, s8))), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33265,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33264, 33233, 33217])).
% 80.72/52.98 tff(33266,plain,(m_c_h_element_v_out(c_e_h_3, c_f, s8) | node14(c_e_h_3, c_f, s8, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9))), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33267,plain,
% 80.72/52.98 (node14(c_e_h_3, c_f, s8, s9)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33266, 33195, 32636])).
% 80.72/52.98 tff(33268,assumption,(node14(c_e_h_3, c_f, s8, s9)), introduced(assumption)).
% 80.72/52.98 tff(33269,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33270,plain,
% 80.72/52.98 (((~node14(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33271,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9))))),
% 80.72/52.98 inference(monotonicity,[status(thm)],[33270])).
% 80.72/52.98 tff(33272,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9)))),
% 80.72/52.98 inference(transitivity,[status(thm)],[33271, 33269])).
% 80.72/52.98 tff(33273,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s8, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33274,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | (~node14(c_e_h_3, c_f, s8, s9))),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33273, 33272])).
% 80.72/52.98 tff(33275,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33274, 575, 33195, 33268, 33194])).
% 80.72/52.98 tff(33276,plain,((~node14(c_e_h_3, c_f, s8, s9)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33277,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33276, 33267, 33195, 33194])).
% 80.72/52.98 tff(33278,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s8) | m_c_h_element_v_out(c_e_h_3, c_f, s8)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33279,plain,
% 80.72/52.98 (m_c_h_element_v_in1(c_e_h_3, c_f, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33278, 33193, 32635])).
% 80.72/52.98 tff(33280,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.72/52.98 tff(33281,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s8)), introduced(assumption)).
% 80.72/52.98 tff(33282,plain,
% 80.72/52.98 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33283,plain,
% 80.72/52.98 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33284,plain,
% 80.72/52.98 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 80.72/52.98 tff(33285,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33284, 1126, 33281, 33280])).
% 80.72/52.98 tff(33286,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33287,plain,
% 80.72/52.98 (m_and_h_gate_v_out(c_e_h_3, c_d, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33286, 33279])).
% 80.72/52.98 tff(33288,assumption,(~node20(c_e_h_3, c_d, s7)), introduced(assumption)).
% 80.72/52.98 tff(33289,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.72/52.98 tff(33290,assumption,(node22(c_e_h_3, c_d, s7, s8)), introduced(assumption)).
% 80.72/52.98 tff(33291,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node22(c_e_h_3, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node22(c_e_h_3, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33292,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node22(c_e_h_3, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33293,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node22(c_e_h_3, c_d, s7, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33292, 33291])).
% 80.72/52.98 tff(33294,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33293, 437, 33289, 3417, 33290])).
% 80.72/52.98 tff(33295,plain,((~node22(c_e_h_3, c_d, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33296,plain,
% 80.72/52.98 (~node22(c_e_h_3, c_d, s7, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33295, 33289, 3417])).
% 80.72/52.98 tff(33297,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_3, c_d, s7, s8) | node22(c_e_h_3, c_d, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_3, c_d, s7, s8) | node22(c_e_h_3, c_d, s7, s8))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33298,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_3, c_d, s7, s8) | node22(c_e_h_3, c_d, s7, s8))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33299,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_3, c_d, s7, s8) | node22(c_e_h_3, c_d, s7, s8)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33298, 33297])).
% 80.72/52.98 tff(33300,plain,
% 80.72/52.98 (node21(c_e_h_3, c_d, s7, s8) | node22(c_e_h_3, c_d, s7, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33299, 383, 2456])).
% 80.72/52.98 tff(33301,plain,
% 80.72/52.98 (node21(c_e_h_3, c_d, s7, s8)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33300, 33296])).
% 80.72/52.98 tff(33302,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node21(c_e_h_3, c_d, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node21(c_e_h_3, c_d, s7, s8)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33303,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node21(c_e_h_3, c_d, s7, s8)))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33304,plain,
% 80.72/52.98 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_d, s7) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | (~node21(c_e_h_3, c_d, s7, s8))),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33303, 33302])).
% 80.72/52.98 tff(33305,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33304, 348, 33289, 33301, 33288])).
% 80.72/52.98 tff(33306,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | node20(c_e_h_3, c_d, s7) | m_and_h_gate_v_out(c_e_h_3, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33307,plain,
% 80.72/52.98 (node20(c_e_h_3, c_d, s7)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33306, 33287, 32696])).
% 80.72/52.98 tff(33308,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)), introduced(assumption)).
% 80.72/52.98 tff(33309,assumption,(node20(c_e_h_3, c_d, s7)), introduced(assumption)).
% 80.72/52.98 tff(33310,plain,
% 80.72/52.98 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s7))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33311,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s7))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33312,plain,
% 80.72/52.98 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s7)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 80.72/52.98 tff(33313,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33312, 22, 33309, 33308])).
% 80.72/52.98 tff(33314,plain,((~node20(c_e_h_3, c_d, s7)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s7)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33315,plain,
% 80.72/52.98 (m_and_h_gate_v_in1(c_e_h_3, c_d, s7)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33314, 33307])).
% 80.72/52.98 tff(33316,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s7)), introduced(assumption)).
% 80.72/52.98 tff(33317,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)), introduced(assumption)).
% 80.72/52.98 tff(33318,plain,
% 80.72/52.98 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33319,plain,
% 80.72/52.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))),
% 80.72/52.98 inference(quant_inst,[status(thm)],[])).
% 80.72/52.98 tff(33320,plain,
% 80.72/52.98 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.72/52.98 inference(modus_ponens,[status(thm)],[33319, 33318])).
% 80.72/52.98 tff(33321,plain,
% 80.72/52.98 ($false),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33320, 966, 33317, 33316])).
% 80.72/52.98 tff(33322,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.98 tff(33323,plain,
% 80.72/52.98 (m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.72/52.98 inference(unit_resolution,[status(thm)],[33322, 33315])).
% 80.72/52.98 tff(33324,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s7)), introduced(assumption)).
% 80.72/52.98 tff(33325,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)), introduced(assumption)).
% 80.72/52.98 tff(33326,assumption,(node12(c_e_h_3, c_b, s6, s7)), introduced(assumption)).
% 80.72/52.98 tff(33327,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33328,plain,
% 80.72/52.98 (((~node12(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))),
% 80.72/52.98 inference(rewrite,[status(thm)],[])).
% 80.72/52.98 tff(33329,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7))))),
% 80.72/52.98 inference(monotonicity,[status(thm)],[33328])).
% 80.72/52.98 tff(33330,plain,
% 80.72/52.98 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))),
% 80.72/52.98 inference(transitivity,[status(thm)],[33329, 33327])).
% 80.72/52.98 tff(33331,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33332,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~node12(c_e_h_3, c_b, s6, s7)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7))),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33331, 33330])).
% 80.72/52.99 tff(33333,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33332, 1082, 33325, 33326, 33324])).
% 80.72/52.99 tff(33334,plain,((~node12(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7))), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33335,plain,
% 80.72/52.99 (~node12(c_e_h_3, c_b, s6, s7)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33334, 33324, 33325])).
% 80.72/52.99 tff(33336,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_3, c_b, s6, s7) | node13(c_e_h_3, c_b, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_3, c_b, s6, s7) | node13(c_e_h_3, c_b, s6, s7))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33337,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s6, s7)) | node12(c_e_h_3, c_b, s6, s7) | node13(c_e_h_3, c_b, s6, s7))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33338,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s6, s7)) | node12(c_e_h_3, c_b, s6, s7) | node13(c_e_h_3, c_b, s6, s7)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 80.72/52.99 tff(33339,plain,
% 80.72/52.99 (node12(c_e_h_3, c_b, s6, s7) | node13(c_e_h_3, c_b, s6, s7)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33338, 1020, 1685])).
% 80.72/52.99 tff(33340,plain,
% 80.72/52.99 (node13(c_e_h_3, c_b, s6, s7)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33339, 33335])).
% 80.72/52.99 tff(33341,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | (~node13(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | (~node13(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33342,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | (~node13(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33343,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | (~node13(c_e_h_3, c_b, s6, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33342, 33341])).
% 80.72/52.99 tff(33344,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33343, 1004, 33340, 31881, 33324])).
% 80.72/52.99 tff(33345,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33346,plain,
% 80.72/52.99 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33345, 33323, 32975])).
% 80.72/52.99 tff(33347,plain,
% 80.72/52.99 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s6))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s6))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33348,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s6))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33349,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s6)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 80.72/52.99 tff(33350,plain,
% 80.72/52.99 (node1(c_e_h_3, c_e_h_1, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33349, 1050, 1047])).
% 80.72/52.99 tff(33351,plain,
% 80.72/52.99 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33352,plain,
% 80.72/52.99 (((~node1(c_e_h_3, c_e_h_1, s6)) | m_cell_v_req(c_e_h_1, s6) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6))) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33353,plain,
% 80.72/52.99 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s6)) | m_cell_v_req(c_e_h_1, s6) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6))))),
% 80.72/52.99 inference(monotonicity,[status(thm)],[33352])).
% 80.72/52.99 tff(33354,plain,
% 80.72/52.99 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s6)) | m_cell_v_req(c_e_h_1, s6) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6)))),
% 80.72/52.99 inference(transitivity,[status(thm)],[33353, 33351])).
% 80.72/52.99 tff(33355,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s6)) | m_cell_v_req(c_e_h_1, s6) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33356,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6) | (~node1(c_e_h_3, c_e_h_1, s6))),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33355, 33354])).
% 80.72/52.99 tff(33357,plain,
% 80.72/52.99 ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)) | m_cell_v_req(c_e_h_1, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33356, 1064, 33350])).
% 80.72/52.99 tff(33358,plain,
% 80.72/52.99 (m_cell_v_req(c_e_h_1, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33357, 33346])).
% 80.72/52.99 tff(33359,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.72/52.99 tff(33360,assumption,(m_cell_v_req(c_e_h_1, s6)), introduced(assumption)).
% 80.72/52.99 tff(33361,plain,
% 80.72/52.99 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33362,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33363,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 80.72/52.99 tff(33364,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33363, 1036, 33360, 33359])).
% 80.72/52.99 tff(33365,plain,((~m_cell_v_req(c_e_h_1, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33366,plain,
% 80.72/52.99 (m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33365, 33358])).
% 80.72/52.99 tff(33367,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.72/52.99 tff(33368,assumption,(~node20(c_e_h_1, c_p, s5)), introduced(assumption)).
% 80.72/52.99 tff(33369,assumption,(node21(c_e_h_1, c_p, s5, s6)), introduced(assumption)).
% 80.72/52.99 tff(33370,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33371,plain,
% 80.72/52.99 ((node20(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node21(c_e_h_1, c_p, s5, s6))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33372,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node21(c_e_h_1, c_p, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6))))),
% 80.72/52.99 inference(monotonicity,[status(thm)],[33371])).
% 80.72/52.99 tff(33373,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node21(c_e_h_1, c_p, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6)))),
% 80.72/52.99 inference(transitivity,[status(thm)],[33372, 33370])).
% 80.72/52.99 tff(33374,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node21(c_e_h_1, c_p, s5, s6)))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33375,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5) | (~node21(c_e_h_1, c_p, s5, s6))),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33374, 33373])).
% 80.72/52.99 tff(33376,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33375, 348, 33369, 33367, 33368])).
% 80.72/52.99 tff(33377,plain,((~node21(c_e_h_1, c_p, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | node20(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33378,plain,
% 80.72/52.99 (~node21(c_e_h_1, c_p, s5, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33377, 33367, 33368])).
% 80.72/52.99 tff(33379,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_p, s5, s6) | node22(c_e_h_1, c_p, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_p, s5, s6) | node22(c_e_h_1, c_p, s5, s6))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33380,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_p, s5, s6) | node22(c_e_h_1, c_p, s5, s6))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33381,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_p, s5, s6) | node22(c_e_h_1, c_p, s5, s6)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 80.72/52.99 tff(33382,plain,
% 80.72/52.99 (node21(c_e_h_1, c_p, s5, s6) | node22(c_e_h_1, c_p, s5, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33381, 383, 1343])).
% 80.72/52.99 tff(33383,plain,
% 80.72/52.99 (node22(c_e_h_1, c_p, s5, s6)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33382, 33378])).
% 80.72/52.99 tff(33384,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node22(c_e_h_1, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node22(c_e_h_1, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33385,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node22(c_e_h_1, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33386,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | (~node22(c_e_h_1, c_p, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33385, 33384])).
% 80.72/52.99 tff(33387,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33386, 437, 33383, 3365, 33367])).
% 80.72/52.99 tff(33388,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | node20(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33389,plain,
% 80.72/52.99 (node20(c_e_h_1, c_p, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33388, 33366, 33170])).
% 80.72/52.99 tff(33390,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)), introduced(assumption)).
% 80.72/52.99 tff(33391,assumption,(node20(c_e_h_1, c_p, s5)), introduced(assumption)).
% 80.72/52.99 tff(33392,plain,
% 80.72/52.99 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s5))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33393,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s5))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33394,plain,
% 80.72/52.99 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33393, 33392])).
% 80.72/52.99 tff(33395,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33394, 22, 33391, 33390])).
% 80.72/52.99 tff(33396,plain,(m_and_h_gate_v_in1(c_e_h_1, c_p, s5) | (~node20(c_e_h_1, c_p, s5))), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33397,plain,
% 80.72/52.99 (m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33396, 33389])).
% 80.72/52.99 tff(33398,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s5)), introduced(assumption)).
% 80.72/52.99 tff(33399,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.72/52.99 tff(33400,plain,
% 80.72/52.99 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33401,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33402,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33401, 33400])).
% 80.72/52.99 tff(33403,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33402, 1380, 33399, 33398])).
% 80.72/52.99 tff(33404,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33405,plain,
% 80.72/52.99 (m_and_h_gate_v_out(c_e_h_1, c_k, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33404, 33397])).
% 80.72/52.99 tff(33406,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.72/52.99 tff(33407,assumption,(node21(c_e_h_1, c_k, s4, s5)), introduced(assumption)).
% 80.72/52.99 tff(33408,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33409,plain,
% 80.72/52.99 ((node20(c_e_h_1, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node21(c_e_h_1, c_k, s4, s5))) <=> (node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33410,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node21(c_e_h_1, c_k, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5))))),
% 80.72/52.99 inference(monotonicity,[status(thm)],[33409])).
% 80.72/52.99 tff(33411,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node21(c_e_h_1, c_k, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)))),
% 80.72/52.99 inference(transitivity,[status(thm)],[33410, 33408])).
% 80.72/52.99 tff(33412,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s4) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node21(c_e_h_1, c_k, s4, s5)))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33413,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s4) | (~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5))),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 80.72/52.99 tff(33414,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33413, 348, 33407, 33406, 32588])).
% 80.72/52.99 tff(33415,plain,((~node21(c_e_h_1, c_k, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | node20(c_e_h_1, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33416,plain,
% 80.72/52.99 (~node21(c_e_h_1, c_k, s4, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33415, 33406, 32588])).
% 80.72/52.99 tff(33417,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_k, s4, s5) | node22(c_e_h_1, c_k, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_k, s4, s5) | node22(c_e_h_1, c_k, s4, s5))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33418,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s4, s5)) | node21(c_e_h_1, c_k, s4, s5) | node22(c_e_h_1, c_k, s4, s5))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33419,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s4, s5)) | node21(c_e_h_1, c_k, s4, s5) | node22(c_e_h_1, c_k, s4, s5)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33418, 33417])).
% 80.72/52.99 tff(33420,plain,
% 80.72/52.99 (node21(c_e_h_1, c_k, s4, s5) | node22(c_e_h_1, c_k, s4, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33419, 383, 930])).
% 80.72/52.99 tff(33421,plain,
% 80.72/52.99 (node22(c_e_h_1, c_k, s4, s5)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33420, 33416])).
% 80.72/52.99 tff(33422,plain,
% 80.72/52.99 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node22(c_e_h_1, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node22(c_e_h_1, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33423,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node22(c_e_h_1, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33424,plain,
% 80.72/52.99 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | (~node22(c_e_h_1, c_k, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33423, 33422])).
% 80.72/52.99 tff(33425,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33424, 437, 33421, 2950, 33406])).
% 80.72/52.99 tff(33426,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s5)) | m_and_h_gate_v_out(c_e_h_1, c_k, s4) | node20(c_e_h_1, c_k, s4)), inference(lemma,lemma(discharge,[]))).
% 80.72/52.99 tff(33427,plain,
% 80.72/52.99 (m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33426, 33405, 32588])).
% 80.72/52.99 tff(33428,plain,
% 80.72/52.99 (m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[2947, 33427])).
% 80.72/52.99 tff(33429,plain,
% 80.72/52.99 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))),
% 80.72/52.99 inference(rewrite,[status(thm)],[])).
% 80.72/52.99 tff(33430,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4))),
% 80.72/52.99 inference(quant_inst,[status(thm)],[])).
% 80.72/52.99 tff(33431,plain,
% 80.72/52.99 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_k, X)) | m_and_h_gate_v_in1(I0, c_p, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 80.72/52.99 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 80.72/52.99 tff(33432,plain,
% 80.72/52.99 ($false),
% 80.72/52.99 inference(unit_resolution,[status(thm)],[33431, 14241, 2922, 2957])).
% 80.72/53.00 tff(33433,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s4)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33434,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33433, 33427])).
% 80.72/53.00 tff(33435,plain,
% 80.72/53.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s4))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s4))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33436,plain,
% 80.72/53.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | ((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s4))),
% 80.72/53.00 inference(quant_inst,[status(thm)],[])).
% 80.72/53.00 tff(33437,plain,
% 80.72/53.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_h_init_v_out(I0, c_n, X)) | m_and_h_gate_v_in2(I0, c_p, X))) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s4)) | m_and_h_gate_v_in2(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(modus_ponens,[status(thm)],[33436, 33435])).
% 80.72/53.00 tff(33438,plain,
% 80.72/53.00 (m_and_h_gate_v_in2(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33437, 14257, 4919])).
% 80.72/53.00 tff(33439,assumption,(node21(c_e_h_1, c_p, s4, s5)), introduced(assumption)).
% 80.72/53.00 tff(33440,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33441,plain,
% 80.72/53.00 (((~node21(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)) <=> (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33442,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5))))),
% 80.72/53.00 inference(monotonicity,[status(thm)],[33441])).
% 80.72/53.00 tff(33443,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(transitivity,[status(thm)],[33442, 33440])).
% 80.72/53.00 tff(33444,plain,
% 80.72/53.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | ((~node21(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5))),
% 80.72/53.00 inference(quant_inst,[status(thm)],[])).
% 80.72/53.00 tff(33445,plain,
% 80.72/53.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node21(I0, I1, X, Y)) | (~m_and_h_gate_v_in2(I0, I1, X)) | (~m_and_h_gate_v_in1(I0, I1, X)) | m_and_h_gate_v_out(I0, I1, Y))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4)) | (~m_and_h_gate_v_in2(c_e_h_1, c_p, s4)) | (~node21(c_e_h_1, c_p, s4, s5))),
% 80.72/53.00 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 80.72/53.00 tff(33446,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33445, 7190, 33439, 3365, 33438, 2949])).
% 80.72/53.00 tff(33447,plain,((~node21(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s4))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33448,plain,
% 80.72/53.00 (~node21(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33447, 33434, 33170])).
% 80.72/53.00 tff(33449,plain,
% 80.72/53.00 (node22(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3354, 33448])).
% 80.72/53.00 tff(33450,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33451,plain,
% 80.72/53.00 ((m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~node22(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4))) <=> (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33452,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~node22(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5))))),
% 80.72/53.00 inference(monotonicity,[status(thm)],[33451])).
% 80.72/53.00 tff(33453,plain,
% 80.72/53.00 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~node22(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5)))),
% 80.72/53.00 inference(transitivity,[status(thm)],[33452, 33450])).
% 80.72/53.00 tff(33454,plain,
% 80.72/53.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | (m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~node22(c_e_h_1, c_p, s4, s5)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)))),
% 80.72/53.00 inference(quant_inst,[status(thm)],[])).
% 80.72/53.00 tff(33455,plain,
% 80.72/53.00 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_and_h_gate_v_out(I0, I1, Y) | (~node22(I0, I1, X, Y)) | (~m_and_h_gate_v_out(I0, I1, X)))) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)) | (~node22(c_e_h_1, c_p, s4, s5))),
% 80.72/53.00 inference(modus_ponens,[status(thm)],[33454, 33453])).
% 80.72/53.00 tff(33456,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33455, 6905, 3344, 3365, 3045])).
% 80.72/53.00 tff(33457,plain,((~node22(c_e_h_1, c_p, s4, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s4))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33458,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33457, 33449, 33170])).
% 80.72/53.00 tff(33459,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33431, 14241, 2922])).
% 80.72/53.00 tff(33460,plain,
% 80.72/53.00 (~node21(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33447, 33459, 3365])).
% 80.72/53.00 tff(33461,plain,
% 80.72/53.00 (node22(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3354, 33460])).
% 80.72/53.00 tff(33462,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33457, 33461, 3365])).
% 80.72/53.00 tff(33463,plain,
% 80.72/53.00 (~m_cell_v_req(c_e_h_1, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3241, 33462])).
% 80.72/53.00 tff(33464,plain,
% 80.72/53.00 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3253, 33463])).
% 80.72/53.00 tff(33465,plain,
% 80.72/53.00 (m_mutex_h_half_v_out(c_e_h_3, c_b, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3276, 33464, 3255])).
% 80.72/53.00 tff(33466,plain,
% 80.72/53.00 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3150, 33465, 3125])).
% 80.72/53.00 tff(33467,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[2947, 2922])).
% 80.72/53.00 tff(33468,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_p, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33092, 33467])).
% 80.72/53.00 tff(33469,plain,
% 80.72/53.00 (~node21(c_e_h_1, c_p, s3, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33106, 33462, 33468])).
% 80.72/53.00 tff(33470,plain,
% 80.72/53.00 (node22(c_e_h_1, c_p, s3, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3057, 33469])).
% 80.72/53.00 tff(33471,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_p, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33116, 33470, 33462])).
% 80.72/53.00 tff(33472,plain,
% 80.72/53.00 (~m_cell_v_req(c_e_h_1, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3070, 33471])).
% 80.72/53.00 tff(33473,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3082, 33472, 33466])).
% 80.72/53.00 tff(33474,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s3) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33475,plain,
% 80.72/53.00 ((~m_and_h_gate_v_out(c_e_h_1, c_k, s4)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33474, 3124])).
% 80.72/53.00 tff(33476,plain,
% 80.72/53.00 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33475, 33427, 33170])).
% 80.72/53.00 tff(33477,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3284, 33476])).
% 80.72/53.00 tff(33478,plain,
% 80.72/53.00 (~node20(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3292, 33477])).
% 80.72/53.00 tff(33479,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3315, 33478, 32610])).
% 80.72/53.00 tff(33480,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33129, 33479, 33458, 33428])).
% 80.72/53.00 tff(33481,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s11) | node20(c_e_h_1, c_k, s4) | node20(c_e_h_3, c_q, s10) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | node20(c_e_h_1, c_l, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33482,plain,
% 80.72/53.00 (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33481, 32592, 9176, 3542, 30308, 32589, 8759, 32588, 8184, 32587, 32585, 27948])).
% 80.72/53.00 tff(33483,plain,
% 80.72/53.00 (node20(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27518, 8834, 27415, 17539])).
% 80.72/53.00 tff(33484,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8182, 33483])).
% 80.72/53.00 tff(33485,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8174, 33484])).
% 80.72/53.00 tff(33486,plain,
% 80.72/53.00 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8166, 33485, 8075])).
% 80.72/53.00 tff(33487,plain,
% 80.72/53.00 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[6065, 33486])).
% 80.72/53.00 tff(33488,plain,
% 80.72/53.00 (~m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[26776, 8834])).
% 80.72/53.00 tff(33489,plain,
% 80.72/53.00 (~m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[26843, 33488, 17539])).
% 80.72/53.00 tff(33490,plain,
% 80.72/53.00 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27516, 33489, 27415])).
% 80.72/53.00 tff(33491,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27427, 33490])).
% 80.72/53.00 tff(33492,plain,
% 80.72/53.00 (~node22(c_e_h_1, c_i, s12, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[30162, 33491, 8962])).
% 80.72/53.00 tff(33493,plain,
% 80.72/53.00 (node21(c_e_h_1, c_i, s12, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8946, 33492])).
% 80.72/53.00 tff(33494,plain,
% 80.72/53.00 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[30305, 33493, 30195, 8962])).
% 80.72/53.00 tff(33495,plain,
% 80.72/53.00 (m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[30452, 33494, 9176, 30308, 33487])).
% 80.72/53.00 tff(33496,plain,
% 80.72/53.00 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32544, 33495])).
% 80.72/53.00 tff(33497,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32548, 334, 33496, 33483])).
% 80.72/53.00 tff(33498,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | node20(c_e_h_3, c_q, s10) | node20(c_e_h_1, c_l, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s13)) | m_and_h_gate_v_out(c_e_h_1, c_i, s13) | (~m_c_h_element_v_out(c_e_h_1, c_f, s13)) | m_c_h_element_v_out(c_e_h_1, c_f, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33499,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33498, 32592, 30308, 9176, 32587, 32585, 27948, 7993])).
% 80.72/53.00 tff(33500,plain,
% 80.72/53.00 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[6587, 33499, 6504])).
% 80.72/53.00 tff(33501,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[6072, 33500, 33482])).
% 80.72/53.00 tff(33502,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | node20(c_e_h_3, c_q, s10) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | node20(c_e_h_1, c_l, s10) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9)) | node20(c_e_h_1, c_l, s9) | node20(c_e_h_1, c_k, s4) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33503,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33502, 32581, 9176, 26379, 29025, 32573, 26396, 26394, 18712, 25881, 26374, 25855, 20772, 18973])).
% 80.72/53.00 tff(33504,plain,
% 80.72/53.00 (node20(c_e_h_1, c_i, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8394, 33503, 18712])).
% 80.72/53.00 tff(33505,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8398, 22, 33504])).
% 80.72/53.00 tff(33506,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8078, 8, 33505])).
% 80.72/53.00 tff(33507,plain,
% 80.72/53.00 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[6587, 33506, 26379])).
% 80.72/53.00 tff(33508,plain,
% 80.72/53.00 (m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[6072, 33507])).
% 80.72/53.00 tff(33509,plain,
% 80.72/53.00 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s10))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33510,plain,
% 80.72/53.00 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s10))),
% 80.72/53.00 inference(quant_inst,[status(thm)],[])).
% 80.72/53.00 tff(33511,plain,
% 80.72/53.00 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s10)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s10)),
% 80.72/53.00 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 80.72/53.00 tff(33512,plain,
% 80.72/53.00 (m_and_h_gate_v_in2(c_e_h_1, c_i, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33511, 334, 33504])).
% 80.72/53.00 tff(33513,plain,
% 80.72/53.00 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))),
% 80.72/53.00 inference(rewrite,[status(thm)],[])).
% 80.72/53.00 tff(33514,plain,
% 80.72/53.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)))),
% 80.72/53.00 inference(quant_inst,[status(thm)],[])).
% 80.72/53.00 tff(33515,plain,
% 80.72/53.00 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s10)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10))),
% 80.72/53.00 inference(modus_ponens,[status(thm)],[33514, 33513])).
% 80.72/53.00 tff(33516,plain,
% 80.72/53.00 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33515, 6608, 33512])).
% 80.72/53.00 tff(33517,assumption,(node20(c_e_h_3, c_q, s9)), introduced(assumption)).
% 80.72/53.00 tff(33518,plain,
% 80.72/53.00 (m_and_h_gate_v_in2(c_e_h_3, c_q, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8578, 334, 33517])).
% 80.72/53.00 tff(33519,plain,
% 80.72/53.00 (m_and_h_gate_h_init_v_out(c_e_h_3, c_n, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8574, 320, 33518])).
% 80.72/53.00 tff(33520,plain,
% 80.72/53.00 (node9(c_e_h_3, c_n, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8570, 33519, 30545])).
% 80.72/53.00 tff(33521,plain,
% 80.72/53.00 (m_and_h_gate_h_init_v_in2(c_e_h_3, c_n, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8549, 238, 33520])).
% 80.72/53.00 tff(33522,plain,
% 80.72/53.00 (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8545, 224, 33521])).
% 80.72/53.00 tff(33523,plain,
% 80.72/53.00 (~m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8541, 33522, 30538])).
% 80.72/53.00 tff(33524,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_3, c_f, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8483, 33523])).
% 80.72/53.00 tff(33525,plain,
% 80.72/53.00 (m_c_h_element_v_in1(c_e_h_3, c_f, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3628, 33524, 3542])).
% 80.72/53.00 tff(33526,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_d, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3538, 33525])).
% 80.72/53.00 tff(33527,plain,
% 80.72/53.00 (node9(c_e_h_3, c_m, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32626, 33522, 32589])).
% 80.72/53.00 tff(33528,plain,
% 80.72/53.00 (m_and_h_gate_h_init_v_in1(c_e_h_3, c_m, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32630, 12334, 33527])).
% 80.72/53.00 tff(33529,plain,
% 80.72/53.00 (~m_c_h_element_v_out(c_e_h_3, c_f, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32634, 12345, 33528])).
% 80.72/53.00 tff(33530,plain,
% 80.72/53.00 (~m_c_h_element_v_in1(c_e_h_3, c_f, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32679, 33529, 33524])).
% 80.72/53.00 tff(33531,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32695, 33530])).
% 80.72/53.00 tff(33532,plain,
% 80.72/53.00 (~node22(c_e_h_3, c_d, s6, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32704, 33531, 33526])).
% 80.72/53.00 tff(33533,plain,
% 80.72/53.00 (node21(c_e_h_3, c_d, s6, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3328, 33532])).
% 80.72/53.00 tff(33534,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32968, 33533, 33531])).
% 80.72/53.00 tff(33535,plain,
% 80.72/53.00 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32974, 33534])).
% 80.72/53.00 tff(33536,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_p, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33169, 33535, 33526])).
% 80.72/53.00 tff(33537,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_3, c_q, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33188, 22, 33517])).
% 80.72/53.00 tff(33538,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_3, c_f, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33192, 397, 33537])).
% 80.72/53.00 tff(33539,plain,
% 80.72/53.00 (m_c_h_element_v_in1(c_e_h_3, c_f, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33278, 33529, 33538])).
% 80.72/53.00 tff(33540,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_d, s8)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33286, 33539])).
% 80.72/53.00 tff(33541,plain,
% 80.72/53.00 (node20(c_e_h_3, c_d, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33306, 33540, 33531])).
% 80.72/53.00 tff(33542,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_3, c_d, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33314, 33541])).
% 80.72/53.00 tff(33543,plain,
% 80.72/53.00 (m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33322, 33542])).
% 80.72/53.00 tff(33544,plain,
% 80.72/53.00 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33345, 33543, 33535])).
% 80.72/53.00 tff(33545,plain,
% 80.72/53.00 (m_cell_v_req(c_e_h_1, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33357, 33544])).
% 80.72/53.00 tff(33546,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33365, 33545])).
% 80.72/53.00 tff(33547,plain,
% 80.72/53.00 (node20(c_e_h_1, c_p, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33388, 33546, 33536])).
% 80.72/53.00 tff(33548,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33396, 33547])).
% 80.72/53.00 tff(33549,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_k, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33404, 33548])).
% 80.72/53.00 tff(33550,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_k, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33426, 33549, 32588])).
% 80.72/53.00 tff(33551,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_k, s3)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[2947, 33550])).
% 80.72/53.00 tff(33552,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33433, 33550])).
% 80.72/53.00 tff(33553,plain,
% 80.72/53.00 (~node21(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33447, 33552, 33536])).
% 80.72/53.00 tff(33554,plain,
% 80.72/53.00 (node22(c_e_h_1, c_p, s4, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3354, 33553])).
% 80.72/53.00 tff(33555,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_p, s4)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33457, 33554, 33536])).
% 80.72/53.00 tff(33556,plain,
% 80.72/53.00 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33475, 33550, 33536])).
% 80.72/53.00 tff(33557,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3284, 33556])).
% 80.72/53.00 tff(33558,plain,
% 80.72/53.00 (~node20(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3292, 33557])).
% 80.72/53.00 tff(33559,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_d, s5)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[3315, 33558, 33526])).
% 80.72/53.00 tff(33560,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33129, 33559, 33555, 33551])).
% 80.72/53.00 tff(33561,plain,((~node20(c_e_h_3, c_q, s9)) | node20(c_e_h_1, c_k, s4) | m_c_h_element_v_out(c_e_h_3, c_f, s6) | (~m_and_h_gate_h_init_v_out(c_e_h_3, c_m, s9))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33562,plain,
% 80.72/53.00 (~node20(c_e_h_3, c_q, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33561, 32581, 26394, 32573])).
% 80.72/53.00 tff(33563,plain,
% 80.72/53.00 (node4(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32446, 33508, 33516])).
% 80.72/53.00 tff(33564,plain,
% 80.72/53.00 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32478, 6717, 33563])).
% 80.72/53.00 tff(33565,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32482, 30351, 33564])).
% 80.72/53.00 tff(33566,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8783, 33565, 26396])).
% 80.72/53.00 tff(33567,plain,
% 80.72/53.00 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8792, 33566])).
% 80.72/53.00 tff(33568,plain,
% 80.72/53.00 (node4(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32446, 6060, 5663])).
% 80.72/53.00 tff(33569,plain,
% 80.72/53.00 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32450, 29051, 33568])).
% 80.72/53.00 tff(33570,plain,
% 80.72/53.00 (m_or_h_gate_v_in2(c_e_h_1, c_j, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8822, 6060, 8796, 8794])).
% 80.72/53.00 tff(33571,plain,
% 80.72/53.00 (m_cell_v_ack(c_e_h_1, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8616, 1820, 33570])).
% 80.72/53.00 tff(33572,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8612, 33571])).
% 80.72/53.00 tff(33573,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8602, 33572, 8580])).
% 80.72/53.00 tff(33574,plain,
% 80.72/53.00 (m_cell_v_ack(c_e_h_1, s9)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32465, 33573])).
% 80.72/53.00 tff(33575,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32455, 30426, 33574, 33569])).
% 80.72/53.00 tff(33576,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s10) | node20(c_e_h_3, c_q, s9) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33577,plain,
% 80.72/53.00 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33576, 33567, 33562, 33516, 33508])).
% 80.72/53.00 tff(33578,plain,
% 80.72/53.00 (m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32337, 33577])).
% 80.72/53.00 tff(33579,plain,
% 80.72/53.00 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8831, 33577])).
% 80.72/53.00 tff(33580,plain,
% 80.72/53.00 (m_c_h_element_v_in2(c_e_h_1, c_f, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[30152, 8835])).
% 80.72/53.00 tff(33581,plain,
% 80.72/53.00 (~m_c_h_element_v_out(c_e_h_1, c_f, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[30145, 33580, 29043])).
% 80.72/53.00 tff(33582,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32410, 33581, 32339, 26867, 15878, 20035, 15889, 25999])).
% 80.72/53.00 tff(33583,plain,
% 80.72/53.00 (~m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32328, 33582])).
% 80.72/53.00 tff(33584,plain,
% 80.72/53.00 (~m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8922, 33583, 8836])).
% 80.72/53.00 tff(33585,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8926, 8, 33584])).
% 80.72/53.00 tff(33586,plain,
% 80.72/53.00 (~node20(c_e_h_1, c_i, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8930, 22, 33585])).
% 80.72/53.00 tff(33587,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[8952, 33586, 8835])).
% 80.72/53.00 tff(33588,plain,
% 80.72/53.00 (~m_and_h_gate_v_in1(c_e_h_1, c_q, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27530, 33581])).
% 80.72/53.00 tff(33589,plain,
% 80.72/53.00 (~node20(c_e_h_1, c_q, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27538, 33588])).
% 80.72/53.00 tff(33590,plain,
% 80.72/53.00 (m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[27560, 33589, 25999])).
% 80.72/53.00 tff(33591,plain,
% 80.72/53.00 (node20(c_e_h_1, c_q, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[26880, 33590, 26867])).
% 80.72/53.00 tff(33592,plain,
% 80.72/53.00 (m_and_h_gate_v_in1(c_e_h_1, c_q, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[26851, 22, 33591])).
% 80.72/53.00 tff(33593,plain,
% 80.72/53.00 (m_c_h_element_v_out(c_e_h_1, c_f, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[26847, 397, 33592])).
% 80.72/53.00 tff(33594,plain,
% 80.72/53.00 (~m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32405, 33593, 33581])).
% 80.72/53.00 tff(33595,plain,
% 80.72/53.00 ($false),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[32370, 33594, 33587])).
% 80.72/53.00 tff(33596,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s13)) | m_and_h_gate_v_out(c_e_h_1, c_q, s12) | m_c_h_element_v_in2(c_e_h_1, c_h, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_q, s14)) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_and_h_gate_v_out(c_e_h_1, c_q, s10) | m_c_h_element_v_in2(c_e_h_1, c_f, s10) | m_c_h_element_v_out(c_e_h_1, c_f, s14)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.00 tff(33597,plain,
% 80.72/53.00 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.72/53.00 inference(unit_resolution,[status(thm)],[33596, 33579, 20776, 25855, 33578, 20772, 18973, 20258, 26374])).
% 80.72/53.01 tff(33598,plain,
% 80.72/53.01 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s9)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32450, 29051, 33563])).
% 80.72/53.01 tff(33599,plain,
% 80.72/53.01 (~m_cell_v_ack(c_e_h_1, s9)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32457, 33598])).
% 80.72/53.01 tff(33600,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_3, c_q, s9)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32465, 33599])).
% 80.72/53.01 tff(33601,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_3, c_q, s10)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8602, 33600, 33562])).
% 80.72/53.01 tff(33602,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[9194, 33601, 9176])).
% 80.72/53.01 tff(33603,plain,
% 80.72/53.01 (~m_cell_v_ack(c_e_h_1, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30409, 33602])).
% 80.72/53.01 tff(33604,plain,
% 80.72/53.01 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30400, 1820, 33603])).
% 80.72/53.01 tff(33605,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30376, 33566, 29025])).
% 80.72/53.01 tff(33606,plain,
% 80.72/53.01 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30384, 33605])).
% 80.72/53.01 tff(33607,plain,
% 80.72/53.01 (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32474, 33606, 33604, 33577])).
% 80.72/53.01 tff(33608,plain,
% 80.72/53.01 (node20(c_e_h_1, c_i, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30185, 33597, 25881])).
% 80.72/53.01 tff(33609,plain,
% 80.72/53.01 (m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30189, 22, 33608])).
% 80.72/53.01 tff(33610,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30193, 8, 33609])).
% 80.72/53.01 tff(33611,plain,
% 80.72/53.01 (~node21(c_e_h_1, c_i, s12, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30305, 33610, 33607, 33597])).
% 80.72/53.01 tff(33612,plain,
% 80.72/53.01 (node22(c_e_h_1, c_i, s12, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8946, 33611])).
% 80.72/53.01 tff(33613,plain,
% 80.72/53.01 (~m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30303, 1740, 33607])).
% 80.72/53.01 tff(33614,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30299, 33610, 33613])).
% 80.72/53.01 tff(33615,plain,
% 80.72/53.01 (~m_c_h_element_v_in2(c_e_h_1, c_h, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8831, 8826])).
% 80.72/53.01 tff(33616,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8922, 33615, 8837])).
% 80.72/53.01 tff(33617,plain,
% 80.72/53.01 (m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32337, 8826])).
% 80.72/53.01 tff(33618,plain,
% 80.72/53.01 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32364, 33617, 8373, 8343])).
% 80.72/53.01 tff(33619,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32328, 33618, 33616])).
% 80.72/53.01 tff(33620,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)) | m_and_h_gate_v_out(c_e_h_1, c_i, s12) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33621,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33620, 33614, 33503, 33577])).
% 80.72/53.01 tff(33622,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[30162, 33621, 33612, 33597])).
% 80.72/53.01 tff(33623,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s14) | node20(c_e_h_3, c_q, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_user_v_ack(c_e_h_1, c_u, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_out(c_e_h_1, c_h, s8) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33624,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33623, 18713, 9174, 20716, 17541, 20593, 9493, 20586, 19994, 19992, 18772, 18758, 18756, 18733, 18725, 12655])).
% 80.72/53.01 tff(33625,plain,
% 80.72/53.01 (m_and_h_gate_v_in2(c_e_h_1, c_c, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20785, 20300])).
% 80.72/53.01 tff(33626,plain,
% 80.72/53.01 (~m_c_h_element_v_in1(c_e_h_1, c_e, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[27355, 20909])).
% 80.72/53.01 tff(33627,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[27349, 33626, 8970])).
% 80.72/53.01 tff(33628,plain,
% 80.72/53.01 (m_c_h_element_v_in1(c_e_h_1, c_e, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8327, 33627, 17975])).
% 80.72/53.01 tff(33629,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20798, 33628])).
% 80.72/53.01 tff(33630,plain,
% 80.72/53.01 (node20(c_e_h_1, c_c, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20821, 33629, 20790])).
% 80.72/53.01 tff(33631,plain,
% 80.72/53.01 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20829, 33630])).
% 80.72/53.01 tff(33632,plain,
% 80.72/53.01 (m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20837, 33631])).
% 80.72/53.01 tff(33633,plain,
% 80.72/53.01 (m_mutex_h_half_v_inp(c_e_h_1, c_a, s10)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20863, 33632, 17541])).
% 80.72/53.01 tff(33634,plain,
% 80.72/53.01 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20936, 33629, 20909, 20865])).
% 80.72/53.01 tff(33635,plain,
% 80.72/53.01 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20944, 33634])).
% 80.72/53.01 tff(33636,plain,
% 80.72/53.01 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20970, 33632, 33635])).
% 80.72/53.01 tff(33637,plain,
% 80.72/53.01 (~m_user_v_req(c_e_h_1, c_u, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[20978, 33636])).
% 80.72/53.01 tff(33638,plain,
% 80.72/53.01 (~m_user_v_req(c_e_h_1, c_u, s10)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[21004, 33637, 9493])).
% 80.72/53.01 tff(33639,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[21008, 2765, 33638, 33633])).
% 80.72/53.01 tff(33640,plain,(m_and_h_gate_v_out(c_e_h_1, c_c, s13) | m_user_v_ack(c_e_h_1, c_u, s10) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33641,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_c, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33640, 33624, 17541, 33625, 9493])).
% 80.72/53.01 tff(33642,plain,
% 80.72/53.01 (~m_user_v_ack(c_e_h_1, c_u, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[24370, 20716])).
% 80.72/53.01 tff(33643,plain,
% 80.72/53.01 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8968, 8962])).
% 80.72/53.01 tff(33644,plain,
% 80.72/53.01 (m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[9056, 33643, 33624])).
% 80.72/53.01 tff(33645,plain,
% 80.72/53.01 (m_c_h_element_v_in2(c_e_h_1, c_e, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8340, 33644, 17975])).
% 80.72/53.01 tff(33646,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_i, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[8348, 33645])).
% 80.72/53.01 tff(33647,plain,
% 80.72/53.01 (m_c_h_element_v_in2(c_e_h_1, c_f, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[32370, 33646])).
% 80.72/53.01 tff(33648,plain,
% 80.72/53.01 (~m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[6489, 19994, 26378])).
% 80.72/53.01 tff(33649,plain,
% 80.72/53.01 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[18276, 3886, 20738])).
% 80.72/53.01 tff(33650,plain,
% 80.72/53.01 (~node9(c_e_h_1, c_m, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[18280, 238, 33649])).
% 80.72/53.01 tff(33651,plain,
% 80.72/53.01 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[18399, 33650, 18063])).
% 80.72/53.01 tff(33652,plain,
% 80.72/53.01 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33653,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33654,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s12)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 80.72/53.01 tff(33655,plain,
% 80.72/53.01 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33654, 3838, 33651])).
% 80.72/53.01 tff(33656,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_l, s12)), introduced(assumption)).
% 80.72/53.01 tff(33657,assumption,(node20(c_e_h_1, c_l, s12)), introduced(assumption)).
% 80.72/53.01 tff(33658,plain,
% 80.72/53.01 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s12))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33659,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s12))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33660,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s12)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 80.72/53.01 tff(33661,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33660, 334, 33657, 33656])).
% 80.72/53.01 tff(33662,plain,(m_and_h_gate_v_in2(c_e_h_1, c_l, s12) | (~node20(c_e_h_1, c_l, s12))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33663,plain,
% 80.72/53.01 (~node20(c_e_h_1, c_l, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33662, 33655])).
% 80.72/53.01 tff(33664,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_1, c_k, s5)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33426, 26394, 2948])).
% 80.72/53.01 tff(33665,plain,
% 80.72/53.01 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33404, 33664])).
% 80.72/53.01 tff(33666,plain,
% 80.72/53.01 (~node20(c_e_h_1, c_p, s5)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33396, 33665])).
% 80.72/53.01 tff(33667,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33388, 3365, 33368])).
% 80.72/53.01 tff(33668,plain,
% 80.72/53.01 (~m_cell_v_req(c_e_h_1, s5)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3371, 3365])).
% 80.72/53.01 tff(33669,plain,
% 80.72/53.01 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s5)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3383, 33668])).
% 80.72/53.01 tff(33670,plain,
% 80.72/53.01 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3409, 33669, 3279])).
% 80.72/53.01 tff(33671,plain,
% 80.72/53.01 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33345, 33670, 33324])).
% 80.72/53.01 tff(33672,plain,
% 80.72/53.01 (m_cell_v_req(c_e_h_1, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33357, 33671])).
% 80.72/53.01 tff(33673,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33363, 1036, 33672, 33667])).
% 80.72/53.01 tff(33674,plain,(m_and_h_gate_v_out(c_e_h_1, c_p, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | node20(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33675,plain,
% 80.72/53.01 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33674, 3365, 3279, 33368])).
% 80.72/53.01 tff(33676,plain,
% 80.72/53.01 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33322, 33675])).
% 80.72/53.01 tff(33677,plain,
% 80.72/53.01 (~node20(c_e_h_3, c_d, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33314, 33676])).
% 80.72/53.01 tff(33678,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_3, c_d, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33306, 33677, 33289])).
% 80.72/53.01 tff(33679,plain,
% 80.72/53.01 (~node22(c_e_h_3, c_d, s6, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3323, 33678, 3318])).
% 80.72/53.01 tff(33680,plain,
% 80.72/53.01 (node21(c_e_h_3, c_d, s6, s7)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3328, 33679])).
% 80.72/53.01 tff(33681,plain,
% 80.72/53.01 (node20(c_e_h_3, c_d, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3336, 33680, 33678])).
% 80.72/53.01 tff(33682,plain,
% 80.72/53.01 (m_and_h_gate_v_in1(c_e_h_3, c_d, s6)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3340, 22, 33681])).
% 80.72/53.01 tff(33683,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[3413, 966, 33670, 33682])).
% 80.72/53.01 tff(33684,plain,(m_and_h_gate_v_out(c_e_h_1, c_p, s5) | m_and_h_gate_v_out(c_e_h_3, c_d, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s5) | node20(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33685,plain,
% 80.72/53.01 (~m_and_h_gate_v_out(c_e_h_3, c_d, s8)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33684, 33666, 3529, 3532, 9061])).
% 80.72/53.01 tff(33686,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s13)), introduced(assumption)).
% 80.72/53.01 tff(33687,assumption,(m_and_h_gate_v_in2(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.72/53.01 tff(33688,plain,
% 80.72/53.01 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33689,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33690,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 80.72/53.01 tff(33691,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33690, 3838, 18282, 33687])).
% 80.72/53.01 tff(33692,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33693,plain,
% 80.72/53.01 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33692, 18063])).
% 80.72/53.01 tff(33694,assumption,(~m_and_h_gate_v_in2(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.72/53.01 tff(33695,assumption,(node20(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.72/53.01 tff(33696,plain,
% 80.72/53.01 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s11))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33697,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s11))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33698,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s11)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33697, 33696])).
% 80.72/53.01 tff(33699,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33698, 334, 33695, 33694])).
% 80.72/53.01 tff(33700,plain,(m_and_h_gate_v_in2(c_e_h_1, c_l, s11) | (~node20(c_e_h_1, c_l, s11))), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33701,plain,
% 80.72/53.01 (~node20(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33700, 33693])).
% 80.72/53.01 tff(33702,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.72/53.01 tff(33703,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s12)), introduced(assumption)).
% 80.72/53.01 tff(33704,plain,
% 80.72/53.01 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s12))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s12))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33705,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s12))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33706,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s12)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33705, 33704])).
% 80.72/53.01 tff(33707,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33706, 1835, 33702, 33703])).
% 80.72/53.01 tff(33708,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s12)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33709,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_l, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33708, 33702])).
% 80.72/53.01 tff(33710,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s12)), introduced(assumption)).
% 80.72/53.01 tff(33711,assumption,(~node20(c_e_h_1, c_l, s11)), introduced(assumption)).
% 80.72/53.01 tff(33712,assumption,(node21(c_e_h_1, c_l, s11, s12)), introduced(assumption)).
% 80.72/53.01 tff(33713,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33714,plain,
% 80.72/53.01 ((node20(c_e_h_1, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node21(c_e_h_1, c_l, s11, s12))) <=> (node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33715,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node21(c_e_h_1, c_l, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12))))),
% 80.72/53.01 inference(monotonicity,[status(thm)],[33714])).
% 80.72/53.01 tff(33716,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node21(c_e_h_1, c_l, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)))),
% 80.72/53.01 inference(transitivity,[status(thm)],[33715, 33713])).
% 80.72/53.01 tff(33717,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s11) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node21(c_e_h_1, c_l, s11, s12)))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33718,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s11) | (~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12))),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33717, 33716])).
% 80.72/53.01 tff(33719,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33718, 348, 33712, 33710, 33711])).
% 80.72/53.01 tff(33720,plain,((~node21(c_e_h_1, c_l, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | node20(c_e_h_1, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33721,plain,
% 80.72/53.01 (~node21(c_e_h_1, c_l, s11, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33720, 33710, 33711])).
% 80.72/53.01 tff(33722,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_l, s11, s12) | node22(c_e_h_1, c_l, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_l, s11, s12) | node22(c_e_h_1, c_l, s11, s12))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33723,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_1, c_l, s11, s12) | node22(c_e_h_1, c_l, s11, s12))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33724,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_1, c_l, s11, s12) | node22(c_e_h_1, c_l, s11, s12)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 80.72/53.01 tff(33725,plain,
% 80.72/53.01 (node21(c_e_h_1, c_l, s11, s12) | node22(c_e_h_1, c_l, s11, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33724, 383, 8210])).
% 80.72/53.01 tff(33726,plain,
% 80.72/53.01 (node22(c_e_h_1, c_l, s11, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33725, 33721])).
% 80.72/53.01 tff(33727,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node22(c_e_h_1, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node22(c_e_h_1, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33728,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node22(c_e_h_1, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33729,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | (~node22(c_e_h_1, c_l, s11, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33728, 33727])).
% 80.72/53.01 tff(33730,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33729, 437, 30378, 33726, 33710])).
% 80.72/53.01 tff(33731,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s12)) | m_and_h_gate_v_out(c_e_h_1, c_l, s11) | node20(c_e_h_1, c_l, s11)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33732,plain,
% 80.72/53.01 (m_and_h_gate_v_out(c_e_h_1, c_l, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33731, 33709, 33701])).
% 80.72/53.01 tff(33733,plain,
% 80.72/53.01 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33734,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33735,plain,
% 80.72/53.01 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s11)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33734, 33733])).
% 80.72/53.01 tff(33736,plain,
% 80.72/53.01 (m_or_h_gate_v_in1(c_e_h_1, c_j, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33735, 30351, 33732])).
% 80.72/53.01 tff(33737,plain,
% 80.72/53.01 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | (~node4(c_e_h_1, c_j, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | (~node4(c_e_h_1, c_j, s11)))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33738,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | (~node4(c_e_h_1, c_j, s11)))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33739,plain,
% 80.72/53.01 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s11)) | (~node4(c_e_h_1, c_j, s11))),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 80.72/53.01 tff(33740,plain,
% 80.72/53.01 (~node4(c_e_h_1, c_j, s11)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33739, 6717, 33736])).
% 80.72/53.01 tff(33741,assumption,(~node4(c_e_h_1, c_j, s11)), introduced(assumption)).
% 80.72/53.01 tff(33742,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33743,plain,
% 80.72/53.01 ((node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.72/53.01 inference(rewrite,[status(thm)],[])).
% 80.72/53.01 tff(33744,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12))))),
% 80.72/53.01 inference(monotonicity,[status(thm)],[33743])).
% 80.72/53.01 tff(33745,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)))),
% 80.72/53.01 inference(transitivity,[status(thm)],[33744, 33742])).
% 80.72/53.01 tff(33746,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.72/53.01 inference(quant_inst,[status(thm)],[])).
% 80.72/53.01 tff(33747,plain,
% 80.72/53.01 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | (~node5(c_e_h_1, c_j, s11, s12))),
% 80.72/53.01 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 80.72/53.01 tff(33748,plain,
% 80.72/53.01 ($false),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33747, 6671, 30196, 30388, 33741])).
% 80.72/53.01 tff(33749,plain,((~node5(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.72/53.01 tff(33750,plain,
% 80.72/53.01 (~node5(c_e_h_1, c_j, s11, s12)),
% 80.72/53.01 inference(unit_resolution,[status(thm)],[33749, 30196, 33741])).
% 80.72/53.01 tff(33751,plain,
% 80.72/53.01 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33752,plain,
% 80.76/53.02 ((m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33753,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12))))),
% 80.76/53.02 inference(monotonicity,[status(thm)],[33752])).
% 80.76/53.02 tff(33754,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)))),
% 80.76/53.02 inference(transitivity,[status(thm)],[33753, 33751])).
% 80.76/53.02 tff(33755,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33756,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~node6(c_e_h_1, c_j, s11, s12))),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 80.76/53.02 tff(33757,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33756, 6691, 30196, 30309, 8796])).
% 80.76/53.02 tff(33758,plain,((~node6(c_e_h_1, c_j, s11, s12)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11))), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33759,plain,
% 80.76/53.02 (~node6(c_e_h_1, c_j, s11, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33758, 30196, 8796])).
% 80.76/53.02 tff(33760,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30325, 33759, 33750])).
% 80.76/53.02 tff(33761,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)) | node4(c_e_h_1, c_j, s11)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33762,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33761, 33740, 30196])).
% 80.76/53.02 tff(33763,plain,
% 80.76/53.02 (m_and_h_gate_v_out(c_e_h_1, c_l, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30376, 33732, 29025])).
% 80.76/53.02 tff(33764,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30354, 30351, 8760, 8794])).
% 80.76/53.02 tff(33765,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s10)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33766,plain,
% 80.76/53.02 (m_or_h_gate_v_in1(c_e_h_1, c_j, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33765, 33763])).
% 80.76/53.02 tff(33767,plain,
% 80.76/53.02 (~node4(c_e_h_1, c_j, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30340, 6717, 33766])).
% 80.76/53.02 tff(33768,plain,
% 80.76/53.02 (~node5(c_e_h_1, c_j, s10, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30336, 8826, 30328])).
% 80.76/53.02 tff(33769,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8813, 30450, 33768])).
% 80.76/53.02 tff(33770,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s11) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)) | node4(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33771,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33770, 33767, 33762])).
% 80.76/53.02 tff(33772,plain,
% 80.76/53.02 (m_and_h_gate_v_out(c_e_h_1, c_l, s9)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8783, 33763, 26396])).
% 80.76/53.02 tff(33773,plain,
% 80.76/53.02 (m_or_h_gate_v_in1(c_e_h_1, c_j, s9)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[32482, 30351, 33772])).
% 80.76/53.02 tff(33774,plain,
% 80.76/53.02 (~node4(c_e_h_1, c_j, s9)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[32478, 6717, 33773])).
% 80.76/53.02 tff(33775,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[32446, 33774, 33771])).
% 80.76/53.02 tff(33776,plain,
% 80.76/53.02 (~m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[6072, 33775])).
% 80.76/53.02 tff(33777,plain,
% 80.76/53.02 (~m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[6587, 33776, 6504])).
% 80.76/53.02 tff(33778,plain,
% 80.76/53.02 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8078, 8, 33777])).
% 80.76/53.02 tff(33779,plain,
% 80.76/53.02 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | (~node4(c_e_h_1, c_j, s12)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | (~node4(c_e_h_1, c_j, s12)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33780,plain,
% 80.76/53.02 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | (~node4(c_e_h_1, c_j, s12)))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33781,plain,
% 80.76/53.02 ((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | (~node4(c_e_h_1, c_j, s12))),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33780, 33779])).
% 80.76/53.02 tff(33782,plain,
% 80.76/53.02 (~node4(c_e_h_1, c_j, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33781, 6717, 33702])).
% 80.76/53.02 tff(33783,assumption,(~node4(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.76/53.02 tff(33784,plain,
% 80.76/53.02 (node20(c_e_h_1, c_i, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8371, 8080, 8081, 8834])).
% 80.76/53.02 tff(33785,plain,
% 80.76/53.02 (m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[32548, 334, 33784])).
% 80.76/53.02 tff(33786,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[32542, 6608, 33785])).
% 80.76/53.02 tff(33787,plain,
% 80.76/53.02 (~node5(c_e_h_1, c_j, s10, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30336, 33786, 30328])).
% 80.76/53.02 tff(33788,plain,
% 80.76/53.02 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8400, 8080, 8081, 8075, 7993])).
% 80.76/53.02 tff(33789,plain,
% 80.76/53.02 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[6065, 33788])).
% 80.76/53.02 tff(33790,plain,
% 80.76/53.02 (~node6(c_e_h_1, c_j, s10, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30449, 33786, 33789])).
% 80.76/53.02 tff(33791,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8813, 33790, 33787])).
% 80.76/53.02 tff(33792,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s13)) | node4(c_e_h_1, c_j, s10) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | m_and_h_gate_v_out(c_e_h_1, c_i, s10)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33793,plain,
% 80.76/53.02 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33792, 8075, 8081, 30328, 7993])).
% 80.76/53.02 tff(33794,plain,
% 80.76/53.02 (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8190, 8834])).
% 80.76/53.02 tff(33795,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[26897, 33794, 18273, 8081, 18282])).
% 80.76/53.02 tff(33796,plain,
% 80.76/53.02 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8258, 33794, 8081])).
% 80.76/53.02 tff(33797,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18463, 33796])).
% 80.76/53.02 tff(33798,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[26979, 33797, 26891, 27576, 27574])).
% 80.76/53.02 tff(33799,plain,
% 80.76/53.02 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18690, 33798])).
% 80.76/53.02 tff(33800,plain,
% 80.76/53.02 (~node20(c_e_h_1, c_r, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18682, 33799])).
% 80.76/53.02 tff(33801,plain,
% 80.76/53.02 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18674, 33800, 18646])).
% 80.76/53.02 tff(33802,plain,
% 80.76/53.02 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8926, 8, 29057])).
% 80.76/53.02 tff(33803,plain,
% 80.76/53.02 (~node20(c_e_h_1, c_i, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8930, 22, 33802])).
% 80.76/53.02 tff(33804,plain,
% 80.76/53.02 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8952, 33803, 28958])).
% 80.76/53.02 tff(33805,plain,
% 80.76/53.02 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[8968, 33804])).
% 80.76/53.02 tff(33806,plain,
% 80.76/53.02 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[9056, 33805, 8971])).
% 80.76/53.02 tff(33807,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21749, 33806])).
% 80.76/53.02 tff(33808,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[20765, 18439])).
% 80.76/53.02 tff(33809,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21017, 8971])).
% 80.76/53.02 tff(33810,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21045, 33809, 33808, 21037])).
% 80.76/53.02 tff(33811,assumption,(node20(c_e_h_1, c_i, s13)), introduced(assumption)).
% 80.76/53.02 tff(33812,plain,
% 80.76/53.02 (m_and_h_gate_v_in1(c_e_h_1, c_i, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30189, 22, 33811])).
% 80.76/53.02 tff(33813,plain,
% 80.76/53.02 (m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30193, 8, 33812])).
% 80.76/53.02 tff(33814,plain,
% 80.76/53.02 (m_c_h_element_v_in2(c_e_h_1, c_h, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30299, 33813, 29057])).
% 80.76/53.02 tff(33815,plain,
% 80.76/53.02 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s13))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33816,plain,
% 80.76/53.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s13))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33817,plain,
% 80.76/53.02 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s13)),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 80.76/53.02 tff(33818,plain,
% 80.76/53.02 (m_and_h_gate_v_in2(c_e_h_1, c_i, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33817, 334, 33811])).
% 80.76/53.02 tff(33819,plain,
% 80.76/53.02 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33820,plain,
% 80.76/53.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33821,plain,
% 80.76/53.02 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13))),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 80.76/53.02 tff(33822,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33821, 6608, 33818])).
% 80.76/53.02 tff(33823,assumption,(node5(c_e_h_1, c_j, s12, s13)), introduced(assumption)).
% 80.76/53.02 tff(33824,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_j, s13)), introduced(assumption)).
% 80.76/53.02 tff(33825,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33826,plain,
% 80.76/53.02 ((node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33827,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13))))),
% 80.76/53.02 inference(monotonicity,[status(thm)],[33826])).
% 80.76/53.02 tff(33828,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(transitivity,[status(thm)],[33827, 33825])).
% 80.76/53.02 tff(33829,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33830,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13))),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33829, 33828])).
% 80.76/53.02 tff(33831,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33830, 6671, 33824, 33823, 33783])).
% 80.76/53.02 tff(33832,plain,((~node5(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | node4(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33833,plain,
% 80.76/53.02 (~node5(c_e_h_1, c_j, s12, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33832, 33822, 33783])).
% 80.76/53.02 tff(33834,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33835,plain,
% 80.76/53.02 ((node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13) | (~trans(s12, s13))) <=> ((~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33836,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13) | (~trans(s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(monotonicity,[status(thm)],[33835])).
% 80.76/53.02 tff(33837,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13) | (~trans(s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13))),
% 80.76/53.02 inference(transitivity,[status(thm)],[33836, 33834])).
% 80.76/53.02 tff(33838,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13) | (~trans(s12, s13)))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33839,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s12, s13)) | node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13)),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 80.76/53.02 tff(33840,plain,
% 80.76/53.02 (node6(c_e_h_1, c_j, s12, s13) | node5(c_e_h_1, c_j, s12, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33839, 1870, 8278])).
% 80.76/53.02 tff(33841,plain,
% 80.76/53.02 (node6(c_e_h_1, c_j, s12, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33840, 33833])).
% 80.76/53.02 tff(33842,assumption,(node6(c_e_h_1, c_j, s12, s13)), introduced(assumption)).
% 80.76/53.02 tff(33843,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33844,plain,
% 80.76/53.02 ((m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(rewrite,[status(thm)],[])).
% 80.76/53.02 tff(33845,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13))))),
% 80.76/53.02 inference(monotonicity,[status(thm)],[33844])).
% 80.76/53.02 tff(33846,plain,
% 80.76/53.02 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.76/53.02 inference(transitivity,[status(thm)],[33845, 33843])).
% 80.76/53.02 tff(33847,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))),
% 80.76/53.02 inference(quant_inst,[status(thm)],[])).
% 80.76/53.02 tff(33848,plain,
% 80.76/53.02 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | (~node6(c_e_h_1, c_j, s12, s13))),
% 80.76/53.02 inference(modus_ponens,[status(thm)],[33847, 33846])).
% 80.76/53.02 tff(33849,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33848, 6691, 33824, 30307, 33842])).
% 80.76/53.02 tff(33850,plain,((~node6(c_e_h_1, c_j, s12, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12))), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33851,plain,
% 80.76/53.02 (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33850, 33841, 33822])).
% 80.76/53.02 tff(33852,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30303, 1740, 33851, 33814])).
% 80.76/53.02 tff(33853,plain,((~node20(c_e_h_1, c_i, s13)) | node4(c_e_h_1, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_h, s12)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33854,plain,
% 80.76/53.02 (~node20(c_e_h_1, c_i, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33853, 29057, 33783])).
% 80.76/53.02 tff(33855,plain,
% 80.76/53.02 (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[30185, 33854, 33804])).
% 80.76/53.02 tff(33856,plain,
% 80.76/53.02 (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[25880, 33855])).
% 80.76/53.02 tff(33857,plain,
% 80.76/53.02 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[25872, 33856, 33806])).
% 80.76/53.02 tff(33858,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[25258, 33857])).
% 80.76/53.02 tff(33859,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[22074, 33858, 18685, 33810, 33807])).
% 80.76/53.02 tff(33860,plain,
% 80.76/53.02 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[22078, 7347, 33859])).
% 80.76/53.02 tff(33861,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18456, 3886, 21037])).
% 80.76/53.02 tff(33862,plain,
% 80.76/53.02 (~node9(c_e_h_1, c_m, s13)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18452, 33861])).
% 80.76/53.02 tff(33863,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[18444, 33862, 18439])).
% 80.76/53.02 tff(33864,plain,
% 80.76/53.02 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21045, 21037, 21019, 33808])).
% 80.76/53.02 tff(33865,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21939, 3886, 33864])).
% 80.76/53.02 tff(33866,plain,
% 80.76/53.02 (~node9(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21943, 238, 33865])).
% 80.76/53.02 tff(33867,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21963, 33866, 33863])).
% 80.76/53.02 tff(33868,plain,
% 80.76/53.02 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[27070, 7347, 33867])).
% 80.76/53.02 tff(33869,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[22037, 33863, 21901, 33864])).
% 80.76/53.02 tff(33870,plain,
% 80.76/53.02 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s16)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[27288, 7347, 33869])).
% 80.76/53.02 tff(33871,plain,
% 80.76/53.02 (~node20(c_e_h_1, c_r, s16)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[27292, 334, 33870])).
% 80.76/53.02 tff(33872,plain,
% 80.76/53.02 (m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[22193, 33871, 22173])).
% 80.76/53.02 tff(33873,plain,
% 80.76/53.02 (node20(c_e_h_1, c_r, s15)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[27177, 33872, 18714])).
% 80.76/53.02 tff(33874,plain,
% 80.76/53.02 ($false),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[27074, 334, 33873, 33868])).
% 80.76/53.02 tff(33875,plain,((~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_v_out(c_e_h_1, c_r, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13) | (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13))), inference(lemma,lemma(discharge,[]))).
% 80.76/53.02 tff(33876,plain,
% 80.76/53.02 (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[33875, 33807, 18714, 33809, 21037, 18439])).
% 80.76/53.02 tff(33877,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21939, 3886, 33810])).
% 80.76/53.02 tff(33878,plain,
% 80.76/53.02 (~node9(c_e_h_1, c_m, s14)),
% 80.76/53.02 inference(unit_resolution,[status(thm)],[21943, 238, 33877])).
% 80.76/53.02 tff(33879,plain,
% 80.76/53.02 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21963, 33878, 18685])).
% 80.76/53.03 tff(33880,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27070, 7347, 33879])).
% 80.76/53.03 tff(33881,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_r, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27074, 334, 33880])).
% 80.76/53.03 tff(33882,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_r, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27177, 33881, 18714])).
% 80.76/53.03 tff(33883,plain,
% 80.76/53.03 (~m_user_v_ack(c_e_h_1, c_u, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22227, 33882])).
% 80.76/53.03 tff(33884,plain,
% 80.76/53.03 (~node24(s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22231, 9500, 33883])).
% 80.76/53.03 tff(33885,plain,
% 80.76/53.03 (~m_user_v_ack(c_e_h_1, c_u, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22238, 33876])).
% 80.76/53.03 tff(33886,plain,
% 80.76/53.03 (~node24(s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22245, 9500, 33885])).
% 80.76/53.03 tff(33887,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8371, 8184, 8081, 8358])).
% 80.76/53.03 tff(33888,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21017, 33887])).
% 80.76/53.03 tff(33889,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21045, 33888, 21037, 21020])).
% 80.76/53.03 tff(33890,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22037, 33889, 18685, 22008])).
% 80.76/53.03 tff(33891,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8952, 27421, 8932])).
% 80.76/53.03 tff(33892,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8968, 33891])).
% 80.76/53.03 tff(33893,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[9056, 33892, 33887])).
% 80.76/53.03 tff(33894,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21749, 33893, 33890])).
% 80.76/53.03 tff(33895,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s13)) | node20(c_e_h_1, c_i, s12) | node20(c_e_h_1, c_i, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33896,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33895, 33803, 33808, 8184, 21037, 8358, 18685, 8081])).
% 80.76/53.03 tff(33897,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22086, 33896])).
% 80.76/53.03 tff(33898,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27120, 33857, 25308])).
% 80.76/53.03 tff(33899,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21066, 33898])).
% 80.76/53.03 tff(33900,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21935, 33807, 21907, 33810])).
% 80.76/53.03 tff(33901,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21968, 33879])).
% 80.76/53.03 tff(33902,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22005, 33858, 33901, 33900])).
% 80.76/53.03 tff(33903,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22114, 33902, 33899, 33897])).
% 80.76/53.03 tff(33904,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22118, 3886, 33903])).
% 80.76/53.03 tff(33905,plain,
% 80.76/53.03 (~node9(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22126, 33904])).
% 80.76/53.03 tff(33906,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22154, 33905, 33859])).
% 80.76/53.03 tff(33907,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22162, 33906])).
% 80.76/53.03 tff(33908,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22170, 33907])).
% 80.76/53.03 tff(33909,plain,
% 80.76/53.03 (m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25223, 33908, 18547, 21068, 21069, 22081, 21061, 33886, 21071, 33884, 18563, 22080, 18587, 22082, 21070, 21062])).
% 80.76/53.03 tff(33910,plain,
% 80.76/53.03 (node20(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22219, 33909, 33876])).
% 80.76/53.03 tff(33911,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25229, 334, 33910, 33860])).
% 80.76/53.03 tff(33912,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | node4(c_e_h_1, c_j, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | node20(c_e_h_1, c_i, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33913,plain,
% 80.76/53.03 (m_c_h_element_v_out(c_e_h_1, c_h, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33912, 8358, 21068, 21069, 22081, 21061, 21071, 18563, 22080, 18587, 22082, 21070, 21062, 18685, 25308, 33783, 18714, 21037, 18439, 8971, 8184, 18547, 8081])).
% 80.76/53.03 tff(33914,plain,
% 80.76/53.03 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8166, 33616, 8075])).
% 80.76/53.03 tff(33915,plain,
% 80.76/53.03 (node6(c_e_h_1, c_j, s10, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8813, 33768])).
% 80.76/53.03 tff(33916,plain,
% 80.76/53.03 (~m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[30449, 33915, 8826])).
% 80.76/53.03 tff(33917,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[6065, 33916, 33914])).
% 80.76/53.03 tff(33918,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | (~m_c_h_element_v_out(c_e_h_1, c_h, s12)) | node4(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33919,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33918, 33913, 8075, 30328])).
% 80.76/53.03 tff(33920,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33761, 33919, 33741])).
% 80.76/53.03 tff(33921,plain,
% 80.76/53.03 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))),
% 80.76/53.03 inference(rewrite,[status(thm)],[])).
% 80.76/53.03 tff(33922,plain,
% 80.76/53.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)))),
% 80.76/53.03 inference(quant_inst,[status(thm)],[])).
% 80.76/53.03 tff(33923,plain,
% 80.76/53.03 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.76/53.03 inference(modus_ponens,[status(thm)],[33922, 33921])).
% 80.76/53.03 tff(33924,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33923, 6608, 33920])).
% 80.76/53.03 tff(33925,plain,
% 80.76/53.03 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12))),
% 80.76/53.03 inference(rewrite,[status(thm)],[])).
% 80.76/53.03 tff(33926,plain,
% 80.76/53.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12))),
% 80.76/53.03 inference(quant_inst,[status(thm)],[])).
% 80.76/53.03 tff(33927,plain,
% 80.76/53.03 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s12)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s12)),
% 80.76/53.03 inference(modus_ponens,[status(thm)],[33926, 33925])).
% 80.76/53.03 tff(33928,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33927, 334, 33924])).
% 80.76/53.03 tff(33929,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8952, 33928, 28958])).
% 80.76/53.03 tff(33930,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8968, 33929])).
% 80.76/53.03 tff(33931,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[9056, 33930, 8971])).
% 80.76/53.03 tff(33932,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21749, 33931])).
% 80.76/53.03 tff(33933,plain,
% 80.76/53.03 (~node5(c_e_h_1, c_j, s12, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33832, 33824, 33783])).
% 80.76/53.03 tff(33934,plain,
% 80.76/53.03 (~node6(c_e_h_1, c_j, s12, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33850, 33824, 30307])).
% 80.76/53.03 tff(33935,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33840, 33934, 33933])).
% 80.76/53.03 tff(33936,plain,(m_or_h_gate_v_out(c_e_h_1, c_j, s13) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s12)) | node4(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33937,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33936, 33920, 33783])).
% 80.76/53.03 tff(33938,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33821, 6608, 33937])).
% 80.76/53.03 tff(33939,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33817, 334, 33938])).
% 80.76/53.03 tff(33940,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[30185, 33939, 33929])).
% 80.76/53.03 tff(33941,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25880, 33940])).
% 80.76/53.03 tff(33942,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25872, 33941, 33931])).
% 80.76/53.03 tff(33943,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25258, 33942])).
% 80.76/53.03 tff(33944,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22074, 33943, 18685, 33810, 33932])).
% 80.76/53.03 tff(33945,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22078, 7347, 33944])).
% 80.76/53.03 tff(33946,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33875, 33932, 18714, 33809, 21037, 18439])).
% 80.76/53.03 tff(33947,plain,
% 80.76/53.03 (~m_user_v_ack(c_e_h_1, c_u, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22238, 33946])).
% 80.76/53.03 tff(33948,plain,
% 80.76/53.03 (~node24(s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22245, 9500, 33947])).
% 80.76/53.03 tff(33949,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33895, 33928, 33808, 8184, 21037, 8358, 18685, 8081])).
% 80.76/53.03 tff(33950,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22086, 33949])).
% 80.76/53.03 tff(33951,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27120, 33942, 25308])).
% 80.76/53.03 tff(33952,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21066, 33951])).
% 80.76/53.03 tff(33953,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21935, 33932, 21907, 33810])).
% 80.76/53.03 tff(33954,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22005, 33943, 33901, 33953])).
% 80.76/53.03 tff(33955,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22114, 33954, 33952, 33950])).
% 80.76/53.03 tff(33956,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22118, 3886, 33955])).
% 80.76/53.03 tff(33957,plain,
% 80.76/53.03 (~node9(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22126, 33956])).
% 80.76/53.03 tff(33958,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22154, 33957, 33944])).
% 80.76/53.03 tff(33959,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22162, 33958])).
% 80.76/53.03 tff(33960,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22170, 33959])).
% 80.76/53.03 tff(33961,plain,
% 80.76/53.03 (m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25223, 33960, 18547, 21068, 21069, 22081, 21061, 33948, 21071, 33884, 18563, 22080, 18587, 22082, 21070, 21062])).
% 80.76/53.03 tff(33962,plain,
% 80.76/53.03 (node20(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22219, 33961, 33946])).
% 80.76/53.03 tff(33963,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25229, 334, 33962, 33945])).
% 80.76/53.03 tff(33964,plain,(node20(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | node4(c_e_h_1, c_j, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | node4(c_e_h_1, c_j, s11) | m_c_h_element_v_out(c_e_h_1, c_h, s10) | node4(c_e_h_1, c_j, s10)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33965,plain,
% 80.76/53.03 (node20(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33964, 33798, 21068, 21069, 22081, 21061, 21071, 27869, 22080, 27600, 22082, 21070, 21062, 18547, 25308, 33783, 33801, 33795, 27584, 33793, 8834, 8081, 33741, 8075, 30328])).
% 80.76/53.03 tff(33966,plain,
% 80.76/53.03 (m_and_h_gate_v_in1(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8182, 33965])).
% 80.76/53.03 tff(33967,plain,
% 80.76/53.03 (m_c_h_element_v_out(c_e_h_1, c_h, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8174, 33966])).
% 80.76/53.03 tff(33968,plain,
% 80.76/53.03 (m_c_h_element_v_in2(c_e_h_1, c_h, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8166, 33967, 8075])).
% 80.76/53.03 tff(33969,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[6065, 33968])).
% 80.76/53.03 tff(33970,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33770, 33969, 30328])).
% 80.76/53.03 tff(33971,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[32542, 6608, 33970])).
% 80.76/53.03 tff(33972,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[32548, 334, 33971, 33965])).
% 80.76/53.03 tff(33973,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s10) | node4(c_e_h_1, c_j, s10) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~until27(s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | node4(c_e_h_1, c_j, s12) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | node4(c_e_h_1, c_j, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(33974,plain,
% 80.76/53.03 (m_c_h_element_v_out(c_e_h_1, c_h, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33973, 25308, 21068, 21069, 22081, 21061, 21071, 22080, 22082, 21070, 21062, 18547, 30328, 33783, 8081, 33741, 7993, 18646, 18273, 18282])).
% 80.76/53.03 tff(33975,plain,
% 80.76/53.03 (m_c_h_element_v_in2(c_e_h_1, c_h, s9)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[6587, 33974, 6504])).
% 80.76/53.03 tff(33976,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s9)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[6072, 33975])).
% 80.76/53.03 tff(33977,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[32446, 33976, 32425])).
% 80.76/53.03 tff(33978,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33515, 6608, 33977])).
% 80.76/53.03 tff(33979,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s10)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33511, 334, 33978])).
% 80.76/53.03 tff(33980,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8394, 33979, 7993])).
% 80.76/53.03 tff(33981,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33770, 33977, 30328])).
% 80.76/53.03 tff(33982,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33761, 33981, 33741])).
% 80.76/53.03 tff(33983,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33923, 6608, 33982])).
% 80.76/53.03 tff(33984,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33927, 334, 33983])).
% 80.76/53.03 tff(33985,plain,
% 80.76/53.03 (m_or_h_gate_v_out(c_e_h_1, c_j, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33936, 33982, 33783])).
% 80.76/53.03 tff(33986,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33821, 6608, 33985])).
% 80.76/53.03 tff(33987,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33817, 334, 33986])).
% 80.76/53.03 tff(33988,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8190, 33980])).
% 80.76/53.03 tff(33989,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[26897, 33988, 18273, 8081, 18282])).
% 80.76/53.03 tff(33990,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8258, 33988, 8081])).
% 80.76/53.03 tff(33991,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s12)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[18463, 33990])).
% 80.76/53.03 tff(33992,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[26979, 33991, 26891, 27576, 27574])).
% 80.76/53.03 tff(33993,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[18690, 33992])).
% 80.76/53.03 tff(33994,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_r, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[18682, 33993])).
% 80.76/53.03 tff(33995,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_r, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[18674, 33994, 18646])).
% 80.76/53.03 tff(33996,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[32544, 33981])).
% 80.76/53.03 tff(33997,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_i, s11)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[32548, 334, 33996])).
% 80.76/53.03 tff(33998,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8371, 33997, 8081, 33980])).
% 80.76/53.03 tff(33999,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8952, 28958, 8932])).
% 80.76/53.03 tff(34000,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s13)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[8968, 33999])).
% 80.76/53.03 tff(34001,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[9056, 34000, 8971])).
% 80.76/53.03 tff(34002,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21749, 34001])).
% 80.76/53.03 tff(34003,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[30185, 33999, 30165])).
% 80.76/53.03 tff(34004,plain,
% 80.76/53.03 (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25880, 34003])).
% 80.76/53.03 tff(34005,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25872, 34004, 34001])).
% 80.76/53.03 tff(34006,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25258, 34005])).
% 80.76/53.03 tff(34007,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22074, 34006, 18685, 33810, 34002])).
% 80.76/53.03 tff(34008,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22078, 7347, 34007])).
% 80.76/53.03 tff(34009,plain,
% 80.76/53.03 (~m_and_h_gate_v_out(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33875, 34002, 18714, 33809, 21037, 18439])).
% 80.76/53.03 tff(34010,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[33895, 8358, 33808, 8184, 21037, 8932, 18685, 8081])).
% 80.76/53.03 tff(34011,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in2(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22086, 34010])).
% 80.76/53.03 tff(34012,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[27120, 34005, 25308])).
% 80.76/53.03 tff(34013,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21066, 34012])).
% 80.76/53.03 tff(34014,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[21935, 34002, 21907, 33810])).
% 80.76/53.03 tff(34015,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s16)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22005, 34006, 33901, 34014])).
% 80.76/53.03 tff(34016,plain,
% 80.76/53.03 (m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22114, 34015, 34013, 34011])).
% 80.76/53.03 tff(34017,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_in2(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22118, 3886, 34016])).
% 80.76/53.03 tff(34018,plain,
% 80.76/53.03 (~node9(c_e_h_1, c_m, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22126, 34017])).
% 80.76/53.03 tff(34019,plain,
% 80.76/53.03 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22154, 34018, 34007])).
% 80.76/53.03 tff(34020,plain,
% 80.76/53.03 (~m_and_h_gate_v_in2(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22162, 34019])).
% 80.76/53.03 tff(34021,plain,
% 80.76/53.03 (~node20(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22170, 34020])).
% 80.76/53.03 tff(34022,plain,
% 80.76/53.03 (~m_user_v_ack(c_e_h_1, c_u, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22238, 34009])).
% 80.76/53.03 tff(34023,plain,
% 80.76/53.03 (~node24(s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22245, 9500, 34022])).
% 80.76/53.03 tff(34024,plain,
% 80.76/53.03 (m_and_h_gate_v_out(c_e_h_1, c_r, s18)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25223, 34023, 18547, 21068, 21069, 22081, 21061, 34021, 21071, 33884, 18563, 22080, 18587, 22082, 21070, 21062])).
% 80.76/53.03 tff(34025,plain,
% 80.76/53.03 (node20(c_e_h_1, c_r, s17)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[22219, 34024, 34009])).
% 80.76/53.03 tff(34026,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25229, 334, 34025, 34008])).
% 80.76/53.03 tff(34027,plain,(node20(c_e_h_1, c_i, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | node20(c_e_h_1, c_r, s11) | (~until27(s11)) | node20(c_e_h_1, c_r, s12) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s14) | m_c_h_element_v_in1(c_e_h_1, c_e, s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s15) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13) | m_c_h_element_v_out(c_e_h_1, c_e, s13) | node20(c_e_h_1, c_i, s13) | node20(c_e_h_1, c_i, s12) | m_and_h_gate_v_out(c_e_h_1, c_i, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(34028,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34027, 33998, 33997, 21068, 21069, 22081, 21061, 21071, 27869, 22080, 27600, 22082, 21070, 21062, 33992, 25308, 33995, 33989, 27584, 18547, 33987, 33984, 33980, 8081])).
% 80.76/53.03 tff(34029,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s15) | node24(s14) | node26(s10) | m_and_h_gate_v_out(c_e_h_2, c_i, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~until27(s11)) | m_c_h_element_v_in2(c_e_h_2, c_e, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | node4(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s9)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(34030,plain,
% 80.76/53.03 (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | node24(s14) | node26(s10) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | (~until27(s11)) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_out(c_e_h_1, c_e, s11) | m_and_h_gate_v_out(c_e_h_1, c_r, s14) | (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s11)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s11) | m_and_h_gate_v_out(c_e_h_1, c_i, s10) | node4(c_e_h_1, c_j, s12) | node4(c_e_h_1, c_j, s11) | node4(c_e_h_1, c_j, s10) | node4(c_e_h_1, c_j, s9) | m_c_h_element_v_out(c_e_h_1, c_h, s9)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34029, 21900, 21881])).
% 80.76/53.03 tff(34031,plain,
% 80.76/53.03 (m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34030, 33774, 21070, 21069, 18756, 21071, 21743, 6504, 33767, 18725, 18547, 18741, 20738, 18063, 18740, 18712, 21061, 33740, 33782])).
% 80.76/53.03 tff(34032,plain,
% 80.76/53.03 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25339, 34031, 12655])).
% 80.76/53.03 tff(34033,plain,
% 80.76/53.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node18(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 80.76/53.03 inference(rewrite,[status(thm)],[])).
% 80.76/53.03 tff(34034,plain,
% 80.76/53.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node18(c_e_h_1, c_e, s14, s15)))),
% 80.76/53.03 inference(quant_inst,[status(thm)],[])).
% 80.76/53.03 tff(34035,plain,
% 80.76/53.03 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node18(c_e_h_1, c_e, s14, s15))),
% 80.76/53.03 inference(modus_ponens,[status(thm)],[34034, 34033])).
% 80.76/53.03 tff(34036,plain,
% 80.76/53.03 ($false),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34035, 6627, 8970, 27086, 25385])).
% 80.76/53.03 tff(34037,plain,((~node18(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.76/53.03 tff(34038,plain,
% 80.76/53.03 (~node18(c_e_h_1, c_e, s14, s15)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34037, 27086, 8970])).
% 80.76/53.03 tff(34039,plain,
% 80.76/53.03 (node17(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25398, 34038])).
% 80.76/53.03 tff(34040,plain,
% 80.76/53.03 ((~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[25405, 1172, 25875])).
% 80.76/53.03 tff(34041,plain,
% 80.76/53.03 (m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.76/53.03 inference(unit_resolution,[status(thm)],[34040, 34039])).
% 80.76/53.03 tff(34042,plain,
% 80.76/53.03 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34043,plain,
% 80.77/53.04 ((m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node15(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34044,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node15(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15))))),
% 80.77/53.04 inference(monotonicity,[status(thm)],[34043])).
% 80.77/53.04 tff(34045,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node15(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(transitivity,[status(thm)],[34044, 34042])).
% 80.77/53.04 tff(34046,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~node15(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34047,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~node15(I0, I1, X, Y)) | (~m_c_h_element_v_out(I0, I1, X)))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | (~node15(c_e_h_1, c_e, s14, s15))),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 80.77/53.04 tff(34048,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34047, 20664, 8970, 27086, 25350])).
% 80.77/53.04 tff(34049,plain,((~node15(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34050,plain,
% 80.77/53.04 (~node15(c_e_h_1, c_e, s14, s15)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34049, 27086, 8970])).
% 80.77/53.04 tff(34051,plain,
% 80.77/53.04 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34052,plain,
% 80.77/53.04 (((~node16(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14))) <=> ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34053,plain,
% 80.77/53.04 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14))))),
% 80.77/53.04 inference(monotonicity,[status(thm)],[34052])).
% 80.77/53.04 tff(34054,plain,
% 80.77/53.04 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14)))),
% 80.77/53.04 inference(transitivity,[status(thm)],[34053, 34051])).
% 80.77/53.04 tff(34055,plain,
% 80.77/53.04 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34056,plain,
% 80.77/53.04 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14))),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34055, 34054])).
% 80.77/53.04 tff(34057,plain,
% 80.77/53.04 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node16(c_e_h_1, c_e, s14))),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34056, 1192, 25875])).
% 80.77/53.04 tff(34058,plain,
% 80.77/53.04 (~node16(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34057, 34041])).
% 80.77/53.04 tff(34059,plain,
% 80.77/53.04 (node14(c_e_h_1, c_e, s14, s15)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25374, 34058, 34050])).
% 80.77/53.04 tff(34060,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34061,plain,
% 80.77/53.04 (((~node14(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15)) <=> (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34062,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | (m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15))))),
% 80.77/53.04 inference(monotonicity,[status(thm)],[34061])).
% 80.77/53.04 tff(34063,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15)))),
% 80.77/53.04 inference(transitivity,[status(thm)],[34062, 34060])).
% 80.77/53.04 tff(34064,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | ((~node14(c_e_h_1, c_e, s14, s15)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_e, s15))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34065,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | (~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_out(I0, I1, Y))) | m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~node14(c_e_h_1, c_e, s14, s15))),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 80.77/53.04 tff(34066,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34065, 20645, 27086, 34059, 34041])).
% 80.77/53.04 tff(34067,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34068,plain,
% 80.77/53.04 (~m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34067, 27086, 8970])).
% 80.77/53.04 tff(34069,plain,
% 80.77/53.04 ((~node17(c_e_h_1, c_e, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25868, 541, 25414])).
% 80.77/53.04 tff(34070,plain,
% 80.77/53.04 (~node17(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34069, 34068])).
% 80.77/53.04 tff(34071,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25398, 34070, 34038])).
% 80.77/53.04 tff(34072,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s15) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34073,plain,
% 80.77/53.04 (~m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34072, 34032, 8970])).
% 80.77/53.04 tff(34074,plain,
% 80.77/53.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34075,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34076,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_c, X)) | m_c_h_element_v_in1(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)) | m_c_h_element_v_in1(c_e_h_1, c_e, s14)),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 80.77/53.04 tff(34077,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34076, 17917, 25349, 25421])).
% 80.77/53.04 tff(34078,plain,(m_c_h_element_v_in1(c_e_h_1, c_e, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s14))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34079,plain,
% 80.77/53.04 (~m_and_h_gate_v_out(c_e_h_1, c_c, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34078, 34073])).
% 80.77/53.04 tff(34080,plain,
% 80.77/53.04 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[27374, 27024, 25413, 20902])).
% 80.77/53.04 tff(34081,plain,
% 80.77/53.04 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[27380, 34080])).
% 80.77/53.04 tff(34082,plain,
% 80.77/53.04 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25796, 34081, 17541, 9493, 25513])).
% 80.77/53.04 tff(34083,plain,
% 80.77/53.04 (~m_and_h_gate_v_in1(c_e_h_1, c_c, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[27374, 20902, 27024, 25413])).
% 80.77/53.04 tff(34084,plain,
% 80.77/53.04 (~m_mutex_h_half_v_out(c_e_h_1, c_a, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[27380, 34083])).
% 80.77/53.04 tff(34085,plain,
% 80.77/53.04 (node20(c_e_h_1, c_c, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25473, 20902, 20792])).
% 80.77/53.04 tff(34086,plain,
% 80.77/53.04 (m_and_h_gate_v_in1(c_e_h_1, c_c, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25480, 34085])).
% 80.77/53.04 tff(34087,plain,
% 80.77/53.04 (m_mutex_h_half_v_out(c_e_h_1, c_a, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25486, 34086])).
% 80.77/53.04 tff(34088,plain,
% 80.77/53.04 (~m_mutex_h_half_v_inp(c_e_h_1, c_a, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25511, 20939, 25423])).
% 80.77/53.04 tff(34089,plain,
% 80.77/53.04 (~m_and_h_gate_v_out(c_e_h_1, c_r, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[20715, 20729, 20752, 20595])).
% 80.77/53.04 tff(34090,plain,
% 80.77/53.04 (~m_user_v_ack(c_e_h_1, c_u, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[24370, 34089])).
% 80.77/53.04 tff(34091,plain,
% 80.77/53.04 (m_user_v_req(c_e_h_1, c_u, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25540, 20939, 17541, 9493])).
% 80.77/53.04 tff(34092,plain,
% 80.77/53.04 (m_user_v_req(c_e_h_1, c_u, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25565, 34091, 34090])).
% 80.77/53.04 tff(34093,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[25573, 34092, 34088])).
% 80.77/53.04 tff(34094,plain,((~m_mutex_h_half_v_out(c_e_h_1, c_a, s12)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s13) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34095,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34094, 34087, 34084, 17541, 9493])).
% 80.77/53.04 tff(34096,plain,((~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | m_and_h_gate_v_out(c_e_h_1, c_c, s12)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34097,plain,
% 80.77/53.04 (m_and_h_gate_v_out(c_e_h_1, c_c, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34096, 27024, 25413, 9493, 20902, 17541])).
% 80.77/53.04 tff(34098,plain,
% 80.77/53.04 (node20(c_e_h_1, c_c, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[20821, 34097, 20790])).
% 80.77/53.04 tff(34099,plain,
% 80.77/53.04 (m_and_h_gate_v_in1(c_e_h_1, c_c, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[20829, 34098])).
% 80.77/53.04 tff(34100,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[20837, 34099, 34082])).
% 80.77/53.04 tff(34101,plain,((~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | m_user_v_ack(c_e_h_1, c_u, s11) | m_and_h_gate_v_out(c_e_h_1, c_c, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34102,plain,
% 80.77/53.04 (~m_and_h_gate_v_in2(c_e_h_1, c_c, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34101, 34079, 9493, 24371, 20902, 17541])).
% 80.77/53.04 tff(34103,plain,
% 80.77/53.04 (m_cell_v_ack(c_e_h_2, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[27000, 34102])).
% 80.77/53.04 tff(34104,plain,
% 80.77/53.04 (m_and_h_gate_v_out(c_e_h_1, c_q, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[26991, 34103])).
% 80.77/53.04 tff(34105,plain,
% 80.77/53.04 (m_c_h_element_v_in2(c_e_h_1, c_f, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[26882, 34104, 15878, 18973, 20258])).
% 80.77/53.04 tff(34106,plain,
% 80.77/53.04 (m_and_h_gate_v_out(c_e_h_1, c_i, s11)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[26776, 34105])).
% 80.77/53.04 tff(34107,plain,
% 80.77/53.04 (node20(c_e_h_1, c_i, s10)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[8394, 34106, 18712])).
% 80.77/53.04 tff(34108,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[8398, 22, 34107, 33778])).
% 80.77/53.04 tff(34109,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)) | m_c_h_element_v_out(c_e_h_1, c_f, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_out(c_e_h_1, c_c, s13)) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | (~m_c_h_element_v_out(c_e_h_1, c_e, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s9) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | node26(s10) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34110,plain,
% 80.77/53.04 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34109, 30196, 9493, 15878, 17541, 33624, 33648, 12655, 20593, 18758, 19992, 20716, 20586, 33641])).
% 80.77/53.04 tff(34111,plain,
% 80.77/53.04 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s6)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[3409, 3529, 9063])).
% 80.77/53.04 tff(34112,plain,
% 80.77/53.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34113,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_l, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34114,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_l, X)) | m_and_h_gate_h_init_v_out(I0, c_m, X))) | (~m_and_h_gate_v_in2(c_e_h_1, c_l, s13)) | m_and_h_gate_h_init_v_out(c_e_h_1, c_m, s13)),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34113, 34112])).
% 80.77/53.04 tff(34115,plain,
% 80.77/53.04 (~m_and_h_gate_v_in2(c_e_h_1, c_l, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34114, 3838, 20761])).
% 80.77/53.04 tff(34116,plain,
% 80.77/53.04 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s13))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34117,plain,
% 80.77/53.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_l, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s13))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34118,plain,
% 80.77/53.04 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_l, s13)) | m_and_h_gate_v_in2(c_e_h_1, c_l, s13)),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34117, 34116])).
% 80.77/53.04 tff(34119,plain,
% 80.77/53.04 (~node20(c_e_h_1, c_l, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34118, 334, 34115])).
% 80.77/53.04 tff(34120,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s13)), introduced(assumption)).
% 80.77/53.04 tff(34121,plain,
% 80.77/53.04 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s13))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s13))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34122,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s13))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34123,plain,
% 80.77/53.04 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_l, X)) | m_or_h_gate_v_in1(I0, c_j, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s13)),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34122, 34121])).
% 80.77/53.04 tff(34124,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34123, 30351, 34120, 33686])).
% 80.77/53.04 tff(34125,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s13)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34126,plain,
% 80.77/53.04 (~m_and_h_gate_v_out(c_e_h_1, c_l, s13)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34125, 33686])).
% 80.77/53.04 tff(34127,assumption,(m_and_h_gate_v_out(c_e_h_1, c_l, s14)), introduced(assumption)).
% 80.77/53.04 tff(34128,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s13)), introduced(assumption)).
% 80.77/53.04 tff(34129,assumption,(~node20(c_e_h_1, c_l, s13)), introduced(assumption)).
% 80.77/53.04 tff(34130,assumption,(node21(c_e_h_1, c_l, s13, s14)), introduced(assumption)).
% 80.77/53.04 tff(34131,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34132,plain,
% 80.77/53.04 ((node20(c_e_h_1, c_l, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node21(c_e_h_1, c_l, s13, s14))) <=> (node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34133,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node21(c_e_h_1, c_l, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14))))),
% 80.77/53.04 inference(monotonicity,[status(thm)],[34132])).
% 80.77/53.04 tff(34134,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node21(c_e_h_1, c_l, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)))),
% 80.77/53.04 inference(transitivity,[status(thm)],[34133, 34131])).
% 80.77/53.04 tff(34135,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_l, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node21(c_e_h_1, c_l, s13, s14)))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34136,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_l, s13) | (~node21(c_e_h_1, c_l, s13, s14)) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14))),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34135, 34134])).
% 80.77/53.04 tff(34137,plain,
% 80.77/53.04 ($false),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34136, 348, 34130, 34129, 34127])).
% 80.77/53.04 tff(34138,plain,((~node21(c_e_h_1, c_l, s13, s14)) | node20(c_e_h_1, c_l, s13) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.04 tff(34139,plain,
% 80.77/53.04 (~node21(c_e_h_1, c_l, s13, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34138, 34127, 34129])).
% 80.77/53.04 tff(34140,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_l, s13, s14) | node22(c_e_h_1, c_l, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_l, s13, s14) | node22(c_e_h_1, c_l, s13, s14))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34141,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s13, s14)) | node21(c_e_h_1, c_l, s13, s14) | node22(c_e_h_1, c_l, s13, s14))),
% 80.77/53.04 inference(quant_inst,[status(thm)],[])).
% 80.77/53.04 tff(34142,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s13, s14)) | node21(c_e_h_1, c_l, s13, s14) | node22(c_e_h_1, c_l, s13, s14)),
% 80.77/53.04 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 80.77/53.04 tff(34143,plain,
% 80.77/53.04 (node21(c_e_h_1, c_l, s13, s14) | node22(c_e_h_1, c_l, s13, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34142, 383, 8985])).
% 80.77/53.04 tff(34144,plain,
% 80.77/53.04 (node22(c_e_h_1, c_l, s13, s14)),
% 80.77/53.04 inference(unit_resolution,[status(thm)],[34143, 34139])).
% 80.77/53.04 tff(34145,plain,
% 80.77/53.04 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node22(c_e_h_1, c_l, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node22(c_e_h_1, c_l, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s13))),
% 80.77/53.04 inference(rewrite,[status(thm)],[])).
% 80.77/53.04 tff(34146,plain,
% 80.77/53.04 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node22(c_e_h_1, c_l, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s13))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34147,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | (~node22(c_e_h_1, c_l, s13, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s13)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 80.77/53.05 tff(34148,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34147, 437, 34144, 34128, 34127])).
% 80.77/53.05 tff(34149,plain,((~m_and_h_gate_v_out(c_e_h_1, c_l, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s13) | node20(c_e_h_1, c_l, s13)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34150,plain,
% 80.77/53.05 (~m_and_h_gate_v_out(c_e_h_1, c_l, s14)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34149, 34126, 34119])).
% 80.77/53.05 tff(34151,assumption,(m_or_h_gate_v_in1(c_e_h_1, c_j, s14)), introduced(assumption)).
% 80.77/53.05 tff(34152,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_l, s14)), introduced(assumption)).
% 80.77/53.05 tff(34153,plain,
% 80.77/53.05 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s14))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s14))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34154,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s14))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34155,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in1(I0, c_j, X)) | m_and_h_gate_v_out(I0, c_l, X))) | (~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s14)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34154, 34153])).
% 80.77/53.05 tff(34156,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34155, 1835, 34152, 34151])).
% 80.77/53.05 tff(34157,plain,((~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)) | m_and_h_gate_v_out(c_e_h_1, c_l, s14)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34158,plain,
% 80.77/53.05 (~m_or_h_gate_v_in1(c_e_h_1, c_j, s14)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34157, 34150])).
% 80.77/53.05 tff(34159,plain,
% 80.77/53.05 (~m_c_h_element_v_in1(c_e_h_3, c_f, s8)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33286, 33685])).
% 80.77/53.05 tff(34160,plain,
% 80.77/53.05 (~m_c_h_element_v_out(c_e_h_3, c_f, s9)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33278, 34159, 3688])).
% 80.77/53.05 tff(34161,plain,
% 80.77/53.05 (~node22(c_e_h_1, c_i, s12, s13)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[30162, 33646, 8962])).
% 80.77/53.05 tff(34162,plain,
% 80.77/53.05 (node21(c_e_h_1, c_i, s12, s13)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[8946, 34161])).
% 80.77/53.05 tff(34163,plain,
% 80.77/53.05 (~m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[30305, 30196, 34162, 8962])).
% 80.77/53.05 tff(34164,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s11)), introduced(assumption)).
% 80.77/53.05 tff(34165,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.77/53.05 tff(34166,plain,
% 80.77/53.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34167,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34168,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34167, 34166])).
% 80.77/53.05 tff(34169,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34168, 2538, 6658, 34165])).
% 80.77/53.05 tff(34170,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)) | m_or_h_gate_v_out(c_e_h_1, c_g, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34171,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34170, 18087])).
% 80.77/53.05 tff(34172,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.77/53.05 tff(34173,assumption,(node20(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.77/53.05 tff(34174,plain,
% 80.77/53.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s5))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s5))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34175,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s5))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34176,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s5)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34175, 34174])).
% 80.77/53.05 tff(34177,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34176, 22, 34173, 34172])).
% 80.77/53.05 tff(34178,plain,((~node20(c_e_h_1, c_k, s5)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34179,plain,
% 80.77/53.05 (~node20(c_e_h_1, c_k, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34178, 34171])).
% 80.77/53.05 tff(34180,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33404, 33399])).
% 80.77/53.05 tff(34181,plain,
% 80.77/53.05 (~node20(c_e_h_1, c_p, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33396, 34180])).
% 80.77/53.05 tff(34182,plain,
% 80.77/53.05 (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33388, 34181, 3365])).
% 80.77/53.05 tff(34183,plain,
% 80.77/53.05 (~m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[26716, 18700, 18087])).
% 80.77/53.05 tff(34184,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34185,plain,
% 80.77/53.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34186,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34187,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34186, 34185])).
% 80.77/53.05 tff(34188,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34187, 2538, 15723, 34184])).
% 80.77/53.05 tff(34189,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)) | m_or_h_gate_v_out(c_e_h_1, c_g, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34190,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34189, 34183])).
% 80.77/53.05 tff(34191,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34192,assumption,(node20(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34193,plain,
% 80.77/53.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34194,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34195,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34194, 34193])).
% 80.77/53.05 tff(34196,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34195, 22, 34192, 34191])).
% 80.77/53.05 tff(34197,plain,((~node20(c_e_h_1, c_k, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34198,plain,
% 80.77/53.05 (~node20(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34197, 34190])).
% 80.77/53.05 tff(34199,assumption,(~node20(c_e_h_1, c_k, s5)), introduced(assumption)).
% 80.77/53.05 tff(34200,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34201,assumption,(node21(c_e_h_1, c_k, s5, s6)), introduced(assumption)).
% 80.77/53.05 tff(34202,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34203,plain,
% 80.77/53.05 ((node20(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node21(c_e_h_1, c_k, s5, s6))) <=> (node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34204,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node21(c_e_h_1, c_k, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6))))),
% 80.77/53.05 inference(monotonicity,[status(thm)],[34203])).
% 80.77/53.05 tff(34205,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node21(c_e_h_1, c_k, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)))),
% 80.77/53.05 inference(transitivity,[status(thm)],[34204, 34202])).
% 80.77/53.05 tff(34206,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node21(c_e_h_1, c_k, s5, s6)))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34207,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s5) | (~node21(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34206, 34205])).
% 80.77/53.05 tff(34208,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34207, 348, 34201, 34199, 34200])).
% 80.77/53.05 tff(34209,plain,((~node21(c_e_h_1, c_k, s5, s6)) | node20(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34210,plain,
% 80.77/53.05 (~node21(c_e_h_1, c_k, s5, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34209, 34200, 34199])).
% 80.77/53.05 tff(34211,assumption,(node22(c_e_h_1, c_k, s5, s6)), introduced(assumption)).
% 80.77/53.05 tff(34212,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node22(c_e_h_1, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node22(c_e_h_1, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34213,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node22(c_e_h_1, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34214,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | (~node22(c_e_h_1, c_k, s5, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34213, 34212])).
% 80.77/53.05 tff(34215,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34214, 437, 34211, 34200, 33399])).
% 80.77/53.05 tff(34216,plain,((~node22(c_e_h_1, c_k, s5, s6)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34217,plain,
% 80.77/53.05 (~node22(c_e_h_1, c_k, s5, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34216, 34200, 33399])).
% 80.77/53.05 tff(34218,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_k, s5, s6) | node22(c_e_h_1, c_k, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_k, s5, s6) | node22(c_e_h_1, c_k, s5, s6))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34219,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s5, s6)) | node21(c_e_h_1, c_k, s5, s6) | node22(c_e_h_1, c_k, s5, s6))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34220,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s5, s6)) | node21(c_e_h_1, c_k, s5, s6) | node22(c_e_h_1, c_k, s5, s6)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34219, 34218])).
% 80.77/53.05 tff(34221,plain,
% 80.77/53.05 (node21(c_e_h_1, c_k, s5, s6) | node22(c_e_h_1, c_k, s5, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34220, 383, 1343])).
% 80.77/53.05 tff(34222,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34221, 34217, 34210])).
% 80.77/53.05 tff(34223,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s5) | node20(c_e_h_1, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34224,plain,
% 80.77/53.05 (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34223, 33399, 34199])).
% 80.77/53.05 tff(34225,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.77/53.05 tff(34226,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34227,plain,
% 80.77/53.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34228,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34229,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 80.77/53.05 tff(34230,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34229, 1380, 34226, 34225])).
% 80.77/53.05 tff(34231,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34232,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34231, 34224])).
% 80.77/53.05 tff(34233,assumption,(~node20(c_e_h_1, c_k, s6)), introduced(assumption)).
% 80.77/53.05 tff(34234,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s7)), introduced(assumption)).
% 80.77/53.05 tff(34235,assumption,(node21(c_e_h_1, c_k, s6, s7)), introduced(assumption)).
% 80.77/53.05 tff(34236,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node21(c_e_h_1, c_k, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node21(c_e_h_1, c_k, s6, s7)))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34237,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node21(c_e_h_1, c_k, s6, s7)))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34238,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node21(c_e_h_1, c_k, s6, s7))),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 80.77/53.05 tff(34239,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34238, 348, 34235, 34233, 34234])).
% 80.77/53.05 tff(34240,plain,((~node21(c_e_h_1, c_k, s6, s7)) | node20(c_e_h_1, c_k, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34241,plain,
% 80.77/53.05 (~node21(c_e_h_1, c_k, s6, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34240, 34234, 34233])).
% 80.77/53.05 tff(34242,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_k, s6, s7) | node22(c_e_h_1, c_k, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_k, s6, s7) | node22(c_e_h_1, c_k, s6, s7))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34243,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_k, s6, s7) | node22(c_e_h_1, c_k, s6, s7))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34244,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_k, s6, s7) | node22(c_e_h_1, c_k, s6, s7)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34243, 34242])).
% 80.77/53.05 tff(34245,plain,
% 80.77/53.05 (node21(c_e_h_1, c_k, s6, s7) | node22(c_e_h_1, c_k, s6, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34244, 383, 1685])).
% 80.77/53.05 tff(34246,plain,
% 80.77/53.05 (node22(c_e_h_1, c_k, s6, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34245, 34241])).
% 80.77/53.05 tff(34247,plain,
% 80.77/53.05 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node22(c_e_h_1, c_k, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node22(c_e_h_1, c_k, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34248,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node22(c_e_h_1, c_k, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34249,plain,
% 80.77/53.05 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | (~node22(c_e_h_1, c_k, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34248, 34247])).
% 80.77/53.05 tff(34250,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34249, 437, 34246, 34234, 34226])).
% 80.77/53.05 tff(34251,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s6) | node20(c_e_h_1, c_k, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34252,plain,
% 80.77/53.05 (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34251, 34224, 34233])).
% 80.77/53.05 tff(34253,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.05 tff(34254,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s7)), introduced(assumption)).
% 80.77/53.05 tff(34255,plain,
% 80.77/53.05 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34256,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34257,plain,
% 80.77/53.05 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34256, 34255])).
% 80.77/53.05 tff(34258,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34257, 1380, 34254, 34253])).
% 80.77/53.05 tff(34259,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34260,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34259, 34252])).
% 80.77/53.05 tff(34261,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.05 tff(34262,assumption,(node20(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.05 tff(34263,plain,
% 80.77/53.05 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s7))),
% 80.77/53.05 inference(rewrite,[status(thm)],[])).
% 80.77/53.05 tff(34264,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s7))),
% 80.77/53.05 inference(quant_inst,[status(thm)],[])).
% 80.77/53.05 tff(34265,plain,
% 80.77/53.05 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s7)),
% 80.77/53.05 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 80.77/53.05 tff(34266,plain,
% 80.77/53.05 ($false),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34265, 22, 34262, 34261])).
% 80.77/53.05 tff(34267,plain,((~node20(c_e_h_1, c_p, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.05 tff(34268,plain,
% 80.77/53.05 (~node20(c_e_h_1, c_p, s7)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[34267, 34260])).
% 80.77/53.05 tff(34269,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s8)), introduced(assumption)).
% 80.77/53.05 tff(34270,plain,
% 80.77/53.05 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33402, 1380, 33399])).
% 80.77/53.05 tff(34271,plain,
% 80.77/53.05 (~node20(c_e_h_1, c_p, s5)),
% 80.77/53.05 inference(unit_resolution,[status(thm)],[33394, 22, 34270])).
% 80.77/53.06 tff(34272,plain,
% 80.77/53.06 (~m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[33388, 34271, 3365])).
% 80.77/53.06 tff(34273,plain,
% 80.77/53.06 (~m_cell_v_req(c_e_h_1, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[33363, 1036, 34272])).
% 80.77/53.06 tff(34274,plain,
% 80.77/53.06 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[33357, 34273])).
% 80.77/53.06 tff(34275,plain,
% 80.77/53.06 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[33345, 34274, 31881])).
% 80.77/53.06 tff(34276,assumption,(node13(c_e_h_3, c_b, s7, s8)), introduced(assumption)).
% 80.77/53.06 tff(34277,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node13(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node13(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34278,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node13(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34279,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node13(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 80.77/53.06 tff(34280,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34279, 1004, 34276, 34269, 33317])).
% 80.77/53.06 tff(34281,plain,((~node13(c_e_h_3, c_b, s7, s8)) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34282,plain,
% 80.77/53.06 (~node13(c_e_h_3, c_b, s7, s8)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34281, 34275, 34269])).
% 80.77/53.06 tff(34283,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_3, c_b, s7, s8) | node13(c_e_h_3, c_b, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_3, c_b, s7, s8) | node13(c_e_h_3, c_b, s7, s8))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34284,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s7, s8)) | node12(c_e_h_3, c_b, s7, s8) | node13(c_e_h_3, c_b, s7, s8))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34285,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s7, s8)) | node12(c_e_h_3, c_b, s7, s8) | node13(c_e_h_3, c_b, s7, s8)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 80.77/53.06 tff(34286,plain,
% 80.77/53.06 (node12(c_e_h_3, c_b, s7, s8) | node13(c_e_h_3, c_b, s7, s8)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34285, 1020, 2456])).
% 80.77/53.06 tff(34287,plain,
% 80.77/53.06 (node12(c_e_h_3, c_b, s7, s8)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34286, 34282])).
% 80.77/53.06 tff(34288,assumption,(node12(c_e_h_3, c_b, s7, s8)), introduced(assumption)).
% 80.77/53.06 tff(34289,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)), introduced(assumption)).
% 80.77/53.06 tff(34290,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34291,plain,
% 80.77/53.06 (((~node12(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34292,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8))))),
% 80.77/53.06 inference(monotonicity,[status(thm)],[34291])).
% 80.77/53.06 tff(34293,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8)))),
% 80.77/53.06 inference(transitivity,[status(thm)],[34292, 34290])).
% 80.77/53.06 tff(34294,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34295,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | (~node12(c_e_h_3, c_b, s7, s8))),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34294, 34293])).
% 80.77/53.06 tff(34296,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34295, 1082, 34289, 34288, 34269])).
% 80.77/53.06 tff(34297,plain,((~node12(c_e_h_3, c_b, s7, s8)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s7) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34298,plain,
% 80.77/53.06 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34297, 34287, 34269])).
% 80.77/53.06 tff(34299,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s7))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s7))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34300,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s7))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34301,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s7)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34300, 34299])).
% 80.77/53.06 tff(34302,plain,
% 80.77/53.06 (node1(c_e_h_3, c_e_h_1, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34301, 1050, 1047])).
% 80.77/53.06 tff(34303,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34304,plain,
% 80.77/53.06 (((~node1(c_e_h_3, c_e_h_1, s7)) | m_cell_v_req(c_e_h_1, s7) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7))) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34305,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s7)) | m_cell_v_req(c_e_h_1, s7) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7))))),
% 80.77/53.06 inference(monotonicity,[status(thm)],[34304])).
% 80.77/53.06 tff(34306,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s7)) | m_cell_v_req(c_e_h_1, s7) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7)))),
% 80.77/53.06 inference(transitivity,[status(thm)],[34305, 34303])).
% 80.77/53.06 tff(34307,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s7)) | m_cell_v_req(c_e_h_1, s7) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34308,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7) | (~node1(c_e_h_3, c_e_h_1, s7))),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 80.77/53.06 tff(34309,plain,
% 80.77/53.06 ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s7)) | m_cell_v_req(c_e_h_1, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34308, 1064, 34302])).
% 80.77/53.06 tff(34310,plain,
% 80.77/53.06 (m_cell_v_req(c_e_h_1, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34309, 34298])).
% 80.77/53.06 tff(34311,plain,
% 80.77/53.06 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34312,plain,
% 80.77/53.06 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34313,plain,
% 80.77/53.06 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34312, 34311])).
% 80.77/53.06 tff(34314,plain,
% 80.77/53.06 (m_and_h_gate_v_out(c_e_h_1, c_p, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34313, 1036, 34310])).
% 80.77/53.06 tff(34315,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.06 tff(34316,assumption,(node22(c_e_h_1, c_p, s6, s7)), introduced(assumption)).
% 80.77/53.06 tff(34317,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node22(c_e_h_1, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node22(c_e_h_1, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34318,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node22(c_e_h_1, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34319,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node22(c_e_h_1, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 80.77/53.06 tff(34320,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34319, 437, 33359, 34316, 34315])).
% 80.77/53.06 tff(34321,plain,((~node22(c_e_h_1, c_p, s6, s7)) | m_and_h_gate_v_out(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34322,plain,
% 80.77/53.06 (~node22(c_e_h_1, c_p, s6, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34321, 34272, 34314])).
% 80.77/53.06 tff(34323,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_p, s6, s7) | node22(c_e_h_1, c_p, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_p, s6, s7) | node22(c_e_h_1, c_p, s6, s7))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34324,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s6, s7)) | node21(c_e_h_1, c_p, s6, s7) | node22(c_e_h_1, c_p, s6, s7))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34325,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s6, s7)) | node21(c_e_h_1, c_p, s6, s7) | node22(c_e_h_1, c_p, s6, s7)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34324, 34323])).
% 80.77/53.06 tff(34326,plain,
% 80.77/53.06 (node21(c_e_h_1, c_p, s6, s7) | node22(c_e_h_1, c_p, s6, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34325, 383, 1685])).
% 80.77/53.06 tff(34327,plain,
% 80.77/53.06 (node21(c_e_h_1, c_p, s6, s7)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34326, 34322])).
% 80.77/53.06 tff(34328,assumption,(~node20(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.77/53.06 tff(34329,assumption,(node21(c_e_h_1, c_p, s6, s7)), introduced(assumption)).
% 80.77/53.06 tff(34330,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34331,plain,
% 80.77/53.06 ((node20(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node21(c_e_h_1, c_p, s6, s7))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7)))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34332,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node21(c_e_h_1, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7))))),
% 80.77/53.06 inference(monotonicity,[status(thm)],[34331])).
% 80.77/53.06 tff(34333,plain,
% 80.77/53.06 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node21(c_e_h_1, c_p, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7)))),
% 80.77/53.06 inference(transitivity,[status(thm)],[34332, 34330])).
% 80.77/53.06 tff(34334,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | (~node21(c_e_h_1, c_p, s6, s7)))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34335,plain,
% 80.77/53.06 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | (~node21(c_e_h_1, c_p, s6, s7))),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34334, 34333])).
% 80.77/53.06 tff(34336,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34335, 348, 34329, 34328, 34315])).
% 80.77/53.06 tff(34337,plain,((~node21(c_e_h_1, c_p, s6, s7)) | node20(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s7))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34338,plain,
% 80.77/53.06 (node20(c_e_h_1, c_p, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34337, 34327, 34314])).
% 80.77/53.06 tff(34339,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s6))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s6))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34340,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s6))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34341,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s6)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34340, 34339])).
% 80.77/53.06 tff(34342,plain,
% 80.77/53.06 (m_and_h_gate_v_in1(c_e_h_1, c_p, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34341, 22, 34338])).
% 80.77/53.06 tff(34343,plain,
% 80.77/53.06 (m_and_h_gate_v_out(c_e_h_1, c_k, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34229, 1380, 34342])).
% 80.77/53.06 tff(34344,plain,
% 80.77/53.06 (~node21(c_e_h_1, c_k, s5, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34209, 34343, 34199])).
% 80.77/53.06 tff(34345,plain,
% 80.77/53.06 (node22(c_e_h_1, c_k, s5, s6)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34221, 34344])).
% 80.77/53.06 tff(34346,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34214, 437, 34345, 34343, 33399])).
% 80.77/53.06 tff(34347,plain,(m_and_h_gate_v_out(c_e_h_1, c_k, s5) | node20(c_e_h_1, c_k, s5) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6) | m_and_h_gate_v_out(c_e_h_1, c_p, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34348,plain,
% 80.77/53.06 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34347, 33399, 34199, 3365, 31881])).
% 80.77/53.06 tff(34349,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.77/53.06 tff(34350,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.77/53.06 tff(34351,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)), introduced(assumption)).
% 80.77/53.06 tff(34352,plain,
% 80.77/53.06 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34353,plain,
% 80.77/53.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))),
% 80.77/53.06 inference(quant_inst,[status(thm)],[])).
% 80.77/53.06 tff(34354,plain,
% 80.77/53.06 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8)),
% 80.77/53.06 inference(modus_ponens,[status(thm)],[34353, 34352])).
% 80.77/53.06 tff(34355,plain,
% 80.77/53.06 ($false),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34354, 966, 34351, 34350])).
% 80.77/53.06 tff(34356,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.06 tff(34357,plain,
% 80.77/53.06 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)),
% 80.77/53.06 inference(unit_resolution,[status(thm)],[34356, 34348])).
% 80.77/53.06 tff(34358,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.77/53.06 tff(34359,assumption,(node20(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.77/53.06 tff(34360,plain,
% 80.77/53.06 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s8))),
% 80.77/53.06 inference(rewrite,[status(thm)],[])).
% 80.77/53.06 tff(34361,plain,
% 80.77/53.06 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34362,plain,
% 80.77/53.07 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s8)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34361, 34360])).
% 80.77/53.07 tff(34363,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34362, 22, 34359, 34358])).
% 80.77/53.07 tff(34364,plain,((~node20(c_e_h_3, c_d, s8)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34365,plain,
% 80.77/53.07 (~node20(c_e_h_3, c_d, s8)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34364, 34357])).
% 80.77/53.07 tff(34366,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34367,assumption,(node22(c_e_h_3, c_d, s8, s9)), introduced(assumption)).
% 80.77/53.07 tff(34368,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node22(c_e_h_3, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node22(c_e_h_3, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34369,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node22(c_e_h_3, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34370,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node22(c_e_h_3, c_d, s8, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34369, 34368])).
% 80.77/53.07 tff(34371,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34370, 437, 34367, 34366, 33280])).
% 80.77/53.07 tff(34372,plain,((~node22(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34373,plain,
% 80.77/53.07 (~node22(c_e_h_3, c_d, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34372, 34366, 33280])).
% 80.77/53.07 tff(34374,assumption,(~node20(c_e_h_3, c_d, s8)), introduced(assumption)).
% 80.77/53.07 tff(34375,assumption,(node21(c_e_h_3, c_d, s8, s9)), introduced(assumption)).
% 80.77/53.07 tff(34376,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34377,plain,
% 80.77/53.07 ((node20(c_e_h_3, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node21(c_e_h_3, c_d, s8, s9))) <=> ((~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34378,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node21(c_e_h_3, c_d, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8)))),
% 80.77/53.07 inference(monotonicity,[status(thm)],[34377])).
% 80.77/53.07 tff(34379,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node21(c_e_h_3, c_d, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8))),
% 80.77/53.07 inference(transitivity,[status(thm)],[34378, 34376])).
% 80.77/53.07 tff(34380,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | (~node21(c_e_h_3, c_d, s8, s9)))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34381,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~node21(c_e_h_3, c_d, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34380, 34379])).
% 80.77/53.07 tff(34382,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34381, 348, 34375, 34374, 34366])).
% 80.77/53.07 tff(34383,plain,((~node21(c_e_h_3, c_d, s8, s9)) | node20(c_e_h_3, c_d, s8) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s9))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34384,plain,
% 80.77/53.07 (~node21(c_e_h_3, c_d, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34383, 34366, 34374])).
% 80.77/53.07 tff(34385,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_3, c_d, s8, s9) | node22(c_e_h_3, c_d, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_3, c_d, s8, s9) | node22(c_e_h_3, c_d, s8, s9))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34386,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_3, c_d, s8, s9) | node22(c_e_h_3, c_d, s8, s9))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34387,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_3, c_d, s8, s9) | node22(c_e_h_3, c_d, s8, s9)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34386, 34385])).
% 80.77/53.07 tff(34388,plain,
% 80.77/53.07 (node21(c_e_h_3, c_d, s8, s9) | node22(c_e_h_3, c_d, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34387, 383, 3713])).
% 80.77/53.07 tff(34389,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34388, 34384, 34373])).
% 80.77/53.07 tff(34390,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s9)) | node20(c_e_h_3, c_d, s8) | m_and_h_gate_v_out(c_e_h_3, c_d, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34391,plain,
% 80.77/53.07 (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34390, 34365, 33280])).
% 80.77/53.07 tff(34392,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34393,assumption,(node22(c_e_h_3, c_d, s9, s10)), introduced(assumption)).
% 80.77/53.07 tff(34394,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node22(c_e_h_3, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node22(c_e_h_3, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34395,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node22(c_e_h_3, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34396,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node22(c_e_h_3, c_d, s9, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34395, 34394])).
% 80.77/53.07 tff(34397,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34396, 437, 34393, 34349, 34392])).
% 80.77/53.07 tff(34398,plain,((~node22(c_e_h_3, c_d, s9, s10)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34399,plain,
% 80.77/53.07 (~node22(c_e_h_3, c_d, s9, s10)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34398, 34349, 34392])).
% 80.77/53.07 tff(34400,assumption,(~node20(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34401,assumption,(node21(c_e_h_3, c_d, s9, s10)), introduced(assumption)).
% 80.77/53.07 tff(34402,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10)))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34403,plain,
% 80.77/53.07 ((node20(c_e_h_3, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node21(c_e_h_3, c_d, s9, s10))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10)))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34404,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node21(c_e_h_3, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10))))),
% 80.77/53.07 inference(monotonicity,[status(thm)],[34403])).
% 80.77/53.07 tff(34405,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node21(c_e_h_3, c_d, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10)))),
% 80.77/53.07 inference(transitivity,[status(thm)],[34404, 34402])).
% 80.77/53.07 tff(34406,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | (~node21(c_e_h_3, c_d, s9, s10)))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34407,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | (~node21(c_e_h_3, c_d, s9, s10))),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34406, 34405])).
% 80.77/53.07 tff(34408,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34407, 348, 34401, 34400, 34349])).
% 80.77/53.07 tff(34409,plain,((~node21(c_e_h_3, c_d, s9, s10)) | node20(c_e_h_3, c_d, s9) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34410,plain,
% 80.77/53.07 (~node21(c_e_h_3, c_d, s9, s10)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34409, 34349, 34400])).
% 80.77/53.07 tff(34411,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_3, c_d, s9, s10) | node22(c_e_h_3, c_d, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_3, c_d, s9, s10) | node22(c_e_h_3, c_d, s9, s10))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34412,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s9, s10)) | node21(c_e_h_3, c_d, s9, s10) | node22(c_e_h_3, c_d, s9, s10))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34413,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s9, s10)) | node21(c_e_h_3, c_d, s9, s10) | node22(c_e_h_3, c_d, s9, s10)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34412, 34411])).
% 80.77/53.07 tff(34414,plain,
% 80.77/53.07 (node21(c_e_h_3, c_d, s9, s10) | node22(c_e_h_3, c_d, s9, s10)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34413, 383, 6039])).
% 80.77/53.07 tff(34415,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34414, 34410, 34399])).
% 80.77/53.07 tff(34416,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | node20(c_e_h_3, c_d, s9) | m_and_h_gate_v_out(c_e_h_3, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34417,plain,
% 80.77/53.07 (node20(c_e_h_3, c_d, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34416, 34391, 34349])).
% 80.77/53.07 tff(34418,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34419,assumption,(node20(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34420,plain,
% 80.77/53.07 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s9))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34421,plain,
% 80.77/53.07 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s9))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34422,plain,
% 80.77/53.07 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s9)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34421, 34420])).
% 80.77/53.07 tff(34423,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34422, 22, 34419, 34418])).
% 80.77/53.07 tff(34424,plain,((~node20(c_e_h_3, c_d, s9)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34425,plain,
% 80.77/53.07 (m_and_h_gate_v_in1(c_e_h_3, c_d, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34424, 34417])).
% 80.77/53.07 tff(34426,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s9)), introduced(assumption)).
% 80.77/53.07 tff(34427,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)), introduced(assumption)).
% 80.77/53.07 tff(34428,plain,
% 80.77/53.07 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34429,plain,
% 80.77/53.07 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34430,plain,
% 80.77/53.07 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 80.77/53.07 tff(34431,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34430, 966, 34427, 34426])).
% 80.77/53.07 tff(34432,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34433,plain,
% 80.77/53.07 (m_mutex_h_half_v_out(c_e_h_3, c_b, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34432, 34425])).
% 80.77/53.07 tff(34434,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s9)), introduced(assumption)).
% 80.77/53.07 tff(34435,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)), introduced(assumption)).
% 80.77/53.07 tff(34436,assumption,(node13(c_e_h_3, c_b, s8, s9)), introduced(assumption)).
% 80.77/53.07 tff(34437,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node13(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node13(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34438,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node13(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34439,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node13(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34438, 34437])).
% 80.77/53.07 tff(34440,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34439, 1004, 34436, 34351, 34434])).
% 80.77/53.07 tff(34441,plain,((~node13(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34442,plain,
% 80.77/53.07 (~node13(c_e_h_3, c_b, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34441, 34434, 34351])).
% 80.77/53.07 tff(34443,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_3, c_b, s8, s9) | node13(c_e_h_3, c_b, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_3, c_b, s8, s9) | node13(c_e_h_3, c_b, s8, s9))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34444,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s8, s9)) | node12(c_e_h_3, c_b, s8, s9) | node13(c_e_h_3, c_b, s8, s9))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34445,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s8, s9)) | node12(c_e_h_3, c_b, s8, s9) | node13(c_e_h_3, c_b, s8, s9)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34444, 34443])).
% 80.77/53.07 tff(34446,plain,
% 80.77/53.07 (node12(c_e_h_3, c_b, s8, s9) | node13(c_e_h_3, c_b, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34445, 1020, 3713])).
% 80.77/53.07 tff(34447,plain,
% 80.77/53.07 (node12(c_e_h_3, c_b, s8, s9)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34446, 34442])).
% 80.77/53.07 tff(34448,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9)))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34449,plain,
% 80.77/53.07 (((~node12(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9)))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34450,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9))))),
% 80.77/53.07 inference(monotonicity,[status(thm)],[34449])).
% 80.77/53.07 tff(34451,plain,
% 80.77/53.07 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9)))),
% 80.77/53.07 inference(transitivity,[status(thm)],[34450, 34448])).
% 80.77/53.07 tff(34452,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s8, s9)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34453,plain,
% 80.77/53.07 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | (~node12(c_e_h_3, c_b, s8, s9))),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34452, 34451])).
% 80.77/53.07 tff(34454,plain,
% 80.77/53.07 ($false),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34453, 1082, 34447, 34435, 34434])).
% 80.77/53.07 tff(34455,plain,((~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s8) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.07 tff(34456,plain,
% 80.77/53.07 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34455, 34433, 34348])).
% 80.77/53.07 tff(34457,plain,
% 80.77/53.07 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s8))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s8))),
% 80.77/53.07 inference(rewrite,[status(thm)],[])).
% 80.77/53.07 tff(34458,plain,
% 80.77/53.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s8))),
% 80.77/53.07 inference(quant_inst,[status(thm)],[])).
% 80.77/53.07 tff(34459,plain,
% 80.77/53.07 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s8)),
% 80.77/53.07 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 80.77/53.07 tff(34460,plain,
% 80.77/53.07 (node1(c_e_h_3, c_e_h_1, s8)),
% 80.77/53.07 inference(unit_resolution,[status(thm)],[34459, 1050, 1047])).
% 80.77/53.07 tff(34461,plain,
% 80.77/53.07 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34462,plain,
% 80.77/53.08 (((~node1(c_e_h_3, c_e_h_1, s8)) | m_cell_v_req(c_e_h_1, s8) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8))) <=> ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34463,plain,
% 80.77/53.08 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s8)) | m_cell_v_req(c_e_h_1, s8) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8))))),
% 80.77/53.08 inference(monotonicity,[status(thm)],[34462])).
% 80.77/53.08 tff(34464,plain,
% 80.77/53.08 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s8)) | m_cell_v_req(c_e_h_1, s8) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8)))),
% 80.77/53.08 inference(transitivity,[status(thm)],[34463, 34461])).
% 80.77/53.08 tff(34465,plain,
% 80.77/53.08 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s8)) | m_cell_v_req(c_e_h_1, s8) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34466,plain,
% 80.77/53.08 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8) | (~node1(c_e_h_3, c_e_h_1, s8))),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34465, 34464])).
% 80.77/53.08 tff(34467,plain,
% 80.77/53.08 ((~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)) | m_cell_v_req(c_e_h_1, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34466, 1064, 34460])).
% 80.77/53.08 tff(34468,plain,
% 80.77/53.08 (m_cell_v_req(c_e_h_1, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34467, 34456])).
% 80.77/53.08 tff(34469,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.08 tff(34470,assumption,(m_cell_v_req(c_e_h_1, s8)), introduced(assumption)).
% 80.77/53.08 tff(34471,plain,
% 80.77/53.08 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34472,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34473,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34472, 34471])).
% 80.77/53.08 tff(34474,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34473, 1036, 34470, 34469])).
% 80.77/53.08 tff(34475,plain,((~m_cell_v_req(c_e_h_1, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34476,plain,
% 80.77/53.08 (m_and_h_gate_v_out(c_e_h_1, c_p, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34475, 34468])).
% 80.77/53.08 tff(34477,assumption,(~node20(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.08 tff(34478,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.08 tff(34479,assumption,(node21(c_e_h_1, c_p, s7, s8)), introduced(assumption)).
% 80.77/53.08 tff(34480,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34481,plain,
% 80.77/53.08 ((node20(c_e_h_1, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node21(c_e_h_1, c_p, s7, s8))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34482,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node21(c_e_h_1, c_p, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8))))),
% 80.77/53.08 inference(monotonicity,[status(thm)],[34481])).
% 80.77/53.08 tff(34483,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node21(c_e_h_1, c_p, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8)))),
% 80.77/53.08 inference(transitivity,[status(thm)],[34482, 34480])).
% 80.77/53.08 tff(34484,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node21(c_e_h_1, c_p, s7, s8)))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34485,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7) | (~node21(c_e_h_1, c_p, s7, s8))),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 80.77/53.08 tff(34486,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34485, 348, 34479, 34478, 34477])).
% 80.77/53.08 tff(34487,plain,((~node21(c_e_h_1, c_p, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | node20(c_e_h_1, c_p, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34488,plain,
% 80.77/53.08 (~node21(c_e_h_1, c_p, s7, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34487, 34478, 34477])).
% 80.77/53.08 tff(34489,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_p, s7)), introduced(assumption)).
% 80.77/53.08 tff(34490,assumption,(node22(c_e_h_1, c_p, s7, s8)), introduced(assumption)).
% 80.77/53.08 tff(34491,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node22(c_e_h_1, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node22(c_e_h_1, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34492,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node22(c_e_h_1, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34493,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | (~node22(c_e_h_1, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 80.77/53.08 tff(34494,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34493, 437, 34490, 34489, 34478])).
% 80.77/53.08 tff(34495,plain,((~node22(c_e_h_1, c_p, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34496,plain,
% 80.77/53.08 (~node22(c_e_h_1, c_p, s7, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34495, 34478, 34489])).
% 80.77/53.08 tff(34497,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_p, s7, s8) | node22(c_e_h_1, c_p, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_p, s7, s8) | node22(c_e_h_1, c_p, s7, s8))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34498,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_p, s7, s8) | node22(c_e_h_1, c_p, s7, s8))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34499,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_p, s7, s8) | node22(c_e_h_1, c_p, s7, s8)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34498, 34497])).
% 80.77/53.08 tff(34500,plain,
% 80.77/53.08 (node21(c_e_h_1, c_p, s7, s8) | node22(c_e_h_1, c_p, s7, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34499, 383, 2456])).
% 80.77/53.08 tff(34501,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34500, 34496, 34488])).
% 80.77/53.08 tff(34502,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s7) | node20(c_e_h_1, c_p, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34503,plain,
% 80.77/53.08 (m_and_h_gate_v_out(c_e_h_1, c_p, s7)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34502, 34476, 34268])).
% 80.77/53.08 tff(34504,plain,
% 80.77/53.08 (~node22(c_e_h_1, c_p, s6, s7)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34321, 34315, 33359])).
% 80.77/53.08 tff(34505,plain,
% 80.77/53.08 (~node21(c_e_h_1, c_p, s6, s7)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34337, 34315, 34328])).
% 80.77/53.08 tff(34506,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34326, 34505, 34504])).
% 80.77/53.08 tff(34507,plain,((~m_and_h_gate_v_out(c_e_h_1, c_p, s7)) | node20(c_e_h_1, c_p, s6) | m_and_h_gate_v_out(c_e_h_1, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34508,plain,
% 80.77/53.08 (node20(c_e_h_1, c_p, s6)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34507, 34503, 33359])).
% 80.77/53.08 tff(34509,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34341, 22, 34508, 34232])).
% 80.77/53.08 tff(34510,plain,(m_and_h_gate_v_out(c_e_h_1, c_k, s5) | m_and_h_gate_v_out(c_e_h_1, c_p, s6) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s8) | node20(c_e_h_1, c_k, s6) | node20(c_e_h_1, c_k, s5) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | m_mutex_h_half_v_out(c_e_h_3, c_b, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34511,plain,
% 80.77/53.08 (~m_and_h_gate_v_out(c_e_h_3, c_d, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34510, 33280, 34198, 31881, 34182, 34179, 3365, 33399])).
% 80.77/53.08 tff(34512,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.77/53.08 tff(34513,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.08 tff(34514,plain,
% 80.77/53.08 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34515,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34516,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 80.77/53.08 tff(34517,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34516, 1126, 34513, 34512])).
% 80.77/53.08 tff(34518,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34519,plain,
% 80.77/53.08 (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34518, 34511])).
% 80.77/53.08 tff(34520,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s9)), introduced(assumption)).
% 80.77/53.08 tff(34521,plain,
% 80.77/53.08 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34347, 33399, 31881, 3365, 34179])).
% 80.77/53.08 tff(34522,plain,
% 80.77/53.08 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34356, 34521])).
% 80.77/53.08 tff(34523,plain,
% 80.77/53.08 (~node20(c_e_h_3, c_d, s8)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34364, 34522])).
% 80.77/53.08 tff(34524,plain,
% 80.77/53.08 (~m_and_h_gate_v_out(c_e_h_3, c_d, s9)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34390, 33280, 34523])).
% 80.77/53.08 tff(34525,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s9)), introduced(assumption)).
% 80.77/53.08 tff(34526,plain,
% 80.77/53.08 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34527,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34528,plain,
% 80.77/53.08 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34527, 34526])).
% 80.77/53.08 tff(34529,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34528, 1126, 34525, 34392])).
% 80.77/53.08 tff(34530,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s9)) | m_and_h_gate_v_out(c_e_h_3, c_d, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34531,plain,
% 80.77/53.08 (~m_c_h_element_v_in1(c_e_h_3, c_f, s9)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34530, 34524])).
% 80.77/53.08 tff(34532,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.08 tff(34533,assumption,(node15(c_e_h_3, c_f, s9, s10)), introduced(assumption)).
% 80.77/53.08 tff(34534,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node15(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node15(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34535,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node15(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34536,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node15(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34535, 34534])).
% 80.77/53.08 tff(34537,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34536, 612, 34533, 34520, 34532])).
% 80.77/53.08 tff(34538,plain,((~node15(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34539,plain,
% 80.77/53.08 (~node15(c_e_h_3, c_f, s9, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34538, 34532, 34520])).
% 80.77/53.08 tff(34540,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s9)), introduced(assumption)).
% 80.77/53.08 tff(34541,assumption,(node14(c_e_h_3, c_f, s9, s10)), introduced(assumption)).
% 80.77/53.08 tff(34542,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34543,plain,
% 80.77/53.08 (((~node14(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10))) <=> ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34544,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10))))),
% 80.77/53.08 inference(monotonicity,[status(thm)],[34543])).
% 80.77/53.08 tff(34545,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(transitivity,[status(thm)],[34544, 34542])).
% 80.77/53.08 tff(34546,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34547,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~node14(c_e_h_3, c_f, s9, s10))),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 80.77/53.08 tff(34548,plain,
% 80.77/53.08 ($false),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34547, 575, 34541, 34540, 34532])).
% 80.77/53.08 tff(34549,plain,((~node14(c_e_h_3, c_f, s9, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.08 tff(34550,plain,
% 80.77/53.08 (~node14(c_e_h_3, c_f, s9, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34549, 34532, 34540])).
% 80.77/53.08 tff(34551,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_3, c_f, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_3, c_f, s9, s10))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34552,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s9, s10)) | node19(c_e_h_3, c_f, s9, s10))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34553,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s9, s10)) | node19(c_e_h_3, c_f, s9, s10)),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34552, 34551])).
% 80.77/53.08 tff(34554,plain,
% 80.77/53.08 (node19(c_e_h_3, c_f, s9, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34553, 494, 6039])).
% 80.77/53.08 tff(34555,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34556,plain,
% 80.77/53.08 ((node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | node15(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10))) <=> (node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34557,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | node15(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10))))),
% 80.77/53.08 inference(monotonicity,[status(thm)],[34556])).
% 80.77/53.08 tff(34558,plain,
% 80.77/53.08 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | node15(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(transitivity,[status(thm)],[34557, 34555])).
% 80.77/53.08 tff(34559,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | node15(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.08 inference(quant_inst,[status(thm)],[])).
% 80.77/53.08 tff(34560,plain,
% 80.77/53.08 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10))),
% 80.77/53.08 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 80.77/53.08 tff(34561,plain,
% 80.77/53.08 (node15(c_e_h_3, c_f, s9, s10) | node16(c_e_h_3, c_f, s9) | node14(c_e_h_3, c_f, s9, s10)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34560, 594, 34554])).
% 80.77/53.08 tff(34562,plain,
% 80.77/53.08 (node16(c_e_h_3, c_f, s9)),
% 80.77/53.08 inference(unit_resolution,[status(thm)],[34561, 34550, 34539])).
% 80.77/53.08 tff(34563,plain,
% 80.77/53.08 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | m_c_h_element_v_in2(c_e_h_3, c_f, s9))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | m_c_h_element_v_in2(c_e_h_3, c_f, s9))),
% 80.77/53.08 inference(rewrite,[status(thm)],[])).
% 80.77/53.08 tff(34564,plain,
% 80.77/53.08 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | m_c_h_element_v_in2(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34565,plain,
% 80.77/53.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s9)) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | m_c_h_element_v_in2(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 80.77/53.09 tff(34566,plain,
% 80.77/53.09 ((~node16(c_e_h_3, c_f, s9)) | m_c_h_element_v_in2(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34565, 559, 34540])).
% 80.77/53.09 tff(34567,plain,
% 80.77/53.09 (m_c_h_element_v_in2(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34566, 34562])).
% 80.77/53.09 tff(34568,plain,
% 80.77/53.09 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s9)) | (~node17(c_e_h_3, c_f, s9)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s9)) | (~node17(c_e_h_3, c_f, s9)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34569,plain,
% 80.77/53.09 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s9)) | (~node17(c_e_h_3, c_f, s9)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34570,plain,
% 80.77/53.09 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s9) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s9)) | (~node17(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34569, 34568])).
% 80.77/53.09 tff(34571,plain,
% 80.77/53.09 ((~m_c_h_element_v_in2(c_e_h_3, c_f, s9)) | (~node17(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34570, 1172, 34540])).
% 80.77/53.09 tff(34572,plain,
% 80.77/53.09 (~node17(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34571, 34567])).
% 80.77/53.09 tff(34573,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34574,plain,
% 80.77/53.09 ((node17(c_e_h_3, c_f, s9) | node18(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10))) <=> ((~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34575,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s9) | node18(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9)))),
% 80.77/53.09 inference(monotonicity,[status(thm)],[34574])).
% 80.77/53.09 tff(34576,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s9) | node18(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9))),
% 80.77/53.09 inference(transitivity,[status(thm)],[34575, 34573])).
% 80.77/53.09 tff(34577,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s9) | node18(c_e_h_3, c_f, s9, s10) | (~node19(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34578,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_3, c_f, s9, s10)) | node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 80.77/53.09 tff(34579,plain,
% 80.77/53.09 (node18(c_e_h_3, c_f, s9, s10) | node17(c_e_h_3, c_f, s9)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34578, 508, 34554])).
% 80.77/53.09 tff(34580,plain,
% 80.77/53.09 (node18(c_e_h_3, c_f, s9, s10)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34579, 34572])).
% 80.77/53.09 tff(34581,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34582,plain,
% 80.77/53.09 (((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~node18(c_e_h_3, c_f, s9, s10))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34583,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~node18(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10))))),
% 80.77/53.09 inference(monotonicity,[status(thm)],[34582])).
% 80.77/53.09 tff(34584,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~node18(c_e_h_3, c_f, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.09 inference(transitivity,[status(thm)],[34583, 34581])).
% 80.77/53.09 tff(34585,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~node18(c_e_h_3, c_f, s9, s10)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34586,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | (~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | (~node18(c_e_h_3, c_f, s9, s10))),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 80.77/53.09 tff(34587,plain,
% 80.77/53.09 ($false),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34586, 481, 34580, 34520, 34532])).
% 80.77/53.09 tff(34588,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s10)) | m_c_h_element_v_out(c_e_h_3, c_f, s9) | m_c_h_element_v_in1(c_e_h_3, c_f, s9)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.09 tff(34589,plain,
% 80.77/53.09 (~m_c_h_element_v_out(c_e_h_3, c_f, s10)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34588, 34531, 34520])).
% 80.77/53.09 tff(34590,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.09 tff(34591,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s11)), introduced(assumption)).
% 80.77/53.09 tff(34592,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.09 tff(34593,assumption,(~node14(c_e_h_3, c_f, s10, s11)), introduced(assumption)).
% 80.77/53.09 tff(34594,assumption,(node15(c_e_h_3, c_f, s10, s11)), introduced(assumption)).
% 80.77/53.09 tff(34595,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node15(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node15(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34596,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node15(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34597,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node15(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10)),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34596, 34595])).
% 80.77/53.09 tff(34598,plain,
% 80.77/53.09 ($false),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34597, 612, 34594, 34592, 34591])).
% 80.77/53.09 tff(34599,plain,((~node15(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.09 tff(34600,plain,
% 80.77/53.09 (~node15(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34599, 34591, 34592])).
% 80.77/53.09 tff(34601,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_3, c_f, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34602,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s10, s11)) | node19(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34603,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s10, s11)) | node19(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34602, 34601])).
% 80.77/53.09 tff(34604,plain,
% 80.77/53.09 (node19(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34603, 494, 8015])).
% 80.77/53.09 tff(34605,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34606,plain,
% 80.77/53.09 ((node16(c_e_h_3, c_f, s10) | node14(c_e_h_3, c_f, s10, s11) | node15(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11))) <=> (node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34607,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s10) | node14(c_e_h_3, c_f, s10, s11) | node15(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11))))),
% 80.77/53.09 inference(monotonicity,[status(thm)],[34606])).
% 80.77/53.09 tff(34608,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s10) | node14(c_e_h_3, c_f, s10, s11) | node15(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(transitivity,[status(thm)],[34607, 34605])).
% 80.77/53.09 tff(34609,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s10) | node14(c_e_h_3, c_f, s10, s11) | node15(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34610,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 80.77/53.09 tff(34611,plain,
% 80.77/53.09 (node16(c_e_h_3, c_f, s10) | node15(c_e_h_3, c_f, s10, s11) | node14(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34610, 594, 34604])).
% 80.77/53.09 tff(34612,plain,
% 80.77/53.09 (node16(c_e_h_3, c_f, s10)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34611, 34600, 34593])).
% 80.77/53.09 tff(34613,assumption,(node18(c_e_h_3, c_f, s10, s11)), introduced(assumption)).
% 80.77/53.09 tff(34614,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34615,plain,
% 80.77/53.09 (((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11))) <=> (m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34616,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11))))),
% 80.77/53.09 inference(monotonicity,[status(thm)],[34615])).
% 80.77/53.09 tff(34617,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))),
% 80.77/53.09 inference(transitivity,[status(thm)],[34616, 34614])).
% 80.77/53.09 tff(34618,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34619,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~node18(c_e_h_3, c_f, s10, s11)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11))),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34618, 34617])).
% 80.77/53.09 tff(34620,plain,
% 80.77/53.09 ($false),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34619, 481, 34613, 34592, 34591])).
% 80.77/53.09 tff(34621,plain,((~node18(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.09 tff(34622,plain,
% 80.77/53.09 (~node18(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34621, 34591, 34592])).
% 80.77/53.09 tff(34623,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34624,plain,
% 80.77/53.09 ((node17(c_e_h_3, c_f, s10) | node18(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11))) <=> (node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34625,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s10) | node18(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(monotonicity,[status(thm)],[34624])).
% 80.77/53.09 tff(34626,plain,
% 80.77/53.09 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s10) | node18(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11))),
% 80.77/53.09 inference(transitivity,[status(thm)],[34625, 34623])).
% 80.77/53.09 tff(34627,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s10) | node18(c_e_h_3, c_f, s10, s11) | (~node19(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.09 inference(quant_inst,[status(thm)],[])).
% 80.77/53.09 tff(34628,plain,
% 80.77/53.09 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s10) | (~node19(c_e_h_3, c_f, s10, s11)) | node18(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 80.77/53.09 tff(34629,plain,
% 80.77/53.09 (node17(c_e_h_3, c_f, s10) | node18(c_e_h_3, c_f, s10, s11)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34628, 508, 34604])).
% 80.77/53.09 tff(34630,plain,
% 80.77/53.09 (node17(c_e_h_3, c_f, s10)),
% 80.77/53.09 inference(unit_resolution,[status(thm)],[34629, 34622])).
% 80.77/53.09 tff(34631,assumption,(node16(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.09 tff(34632,plain,
% 80.77/53.09 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_in2(c_e_h_3, c_f, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_in2(c_e_h_3, c_f, s10))),
% 80.77/53.09 inference(rewrite,[status(thm)],[])).
% 80.77/53.09 tff(34633,plain,
% 80.77/53.09 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_in2(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34634,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s10)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_in2(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34633, 34632])).
% 80.77/53.10 tff(34635,plain,
% 80.77/53.10 (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_in2(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34634, 559, 34631])).
% 80.77/53.10 tff(34636,plain,
% 80.77/53.10 (m_c_h_element_v_in2(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34635, 34590])).
% 80.77/53.10 tff(34637,assumption,(node17(c_e_h_3, c_f, s10)), introduced(assumption)).
% 80.77/53.10 tff(34638,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node17(c_e_h_3, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node17(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34639,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node17(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34640,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node17(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 80.77/53.10 tff(34641,plain,
% 80.77/53.10 (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34640, 1172, 34637])).
% 80.77/53.10 tff(34642,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34641, 34636, 34590])).
% 80.77/53.10 tff(34643,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~node17(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34644,plain,
% 80.77/53.10 (m_c_h_element_v_in1(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34643, 34630, 34612])).
% 80.77/53.10 tff(34645,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34646,plain,
% 80.77/53.10 (((~node16(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10))) <=> ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34647,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10))))),
% 80.77/53.10 inference(monotonicity,[status(thm)],[34646])).
% 80.77/53.10 tff(34648,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(transitivity,[status(thm)],[34647, 34645])).
% 80.77/53.10 tff(34649,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | ((~node16(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34650,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | (~m_c_h_element_v_in1(I0, I1, X)) | (~m_c_h_element_v_in2(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)) | (~node16(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34649, 34648])).
% 80.77/53.10 tff(34651,plain,
% 80.77/53.10 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34650, 1192, 34612])).
% 80.77/53.10 tff(34652,plain,
% 80.77/53.10 (~m_c_h_element_v_in2(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34651, 34644])).
% 80.77/53.10 tff(34653,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_c_h_element_v_in2(c_e_h_3, c_f, s10) | (~node17(c_e_h_3, c_f, s10)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_c_h_element_v_in2(c_e_h_3, c_f, s10) | (~node17(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34654,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_c_h_element_v_in2(c_e_h_3, c_f, s10) | (~node17(c_e_h_3, c_f, s10)))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34655,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_c_h_element_v_in2(c_e_h_3, c_f, s10) | (~node17(c_e_h_3, c_f, s10))),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34654, 34653])).
% 80.77/53.10 tff(34656,plain,
% 80.77/53.10 ((~m_c_h_element_v_in1(c_e_h_3, c_f, s10)) | m_c_h_element_v_in2(c_e_h_3, c_f, s10)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34655, 541, 34630])).
% 80.77/53.10 tff(34657,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34656, 34652, 34644])).
% 80.77/53.10 tff(34658,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s10) | node14(c_e_h_3, c_f, s10, s11)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34659,plain,
% 80.77/53.10 (node14(c_e_h_3, c_f, s10, s11)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34658, 34591, 34592])).
% 80.77/53.10 tff(34660,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34661,plain,
% 80.77/53.10 (((~node14(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11))) <=> (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34662,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11))))),
% 80.77/53.10 inference(monotonicity,[status(thm)],[34661])).
% 80.77/53.10 tff(34663,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11)))),
% 80.77/53.10 inference(transitivity,[status(thm)],[34662, 34660])).
% 80.77/53.10 tff(34664,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s10, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34665,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | (~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | (~node14(c_e_h_3, c_f, s10, s11))),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 80.77/53.10 tff(34666,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34665, 575, 34659, 34591, 34590])).
% 80.77/53.10 tff(34667,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s10) | m_c_h_element_v_out(c_e_h_3, c_f, s10)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34668,plain,
% 80.77/53.10 (~m_c_h_element_v_out(c_e_h_3, c_f, s11)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34667, 34589, 34519])).
% 80.77/53.10 tff(34669,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_q, s11)), introduced(assumption)).
% 80.77/53.10 tff(34670,assumption,(~m_c_h_element_v_out(c_e_h_3, c_f, s11)), introduced(assumption)).
% 80.77/53.10 tff(34671,plain,
% 80.77/53.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34672,plain,
% 80.77/53.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34673,plain,
% 80.77/53.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s11)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34672, 34671])).
% 80.77/53.10 tff(34674,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34673, 397, 34670, 34669])).
% 80.77/53.10 tff(34675,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)) | m_c_h_element_v_out(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34676,plain,
% 80.77/53.10 (~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34675, 34668])).
% 80.77/53.10 tff(34677,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_q, s11)), introduced(assumption)).
% 80.77/53.10 tff(34678,assumption,(node20(c_e_h_3, c_q, s11)), introduced(assumption)).
% 80.77/53.10 tff(34679,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s11))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34680,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s11))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34681,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s11)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s11)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34680, 34679])).
% 80.77/53.10 tff(34682,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34681, 22, 34678, 34677])).
% 80.77/53.10 tff(34683,plain,(m_and_h_gate_v_in1(c_e_h_3, c_q, s11) | (~node20(c_e_h_3, c_q, s11))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34684,plain,
% 80.77/53.10 (~node20(c_e_h_3, c_q, s11)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34683, 34676])).
% 80.77/53.10 tff(34685,assumption,(~node20(c_e_h_3, c_q, s11)), introduced(assumption)).
% 80.77/53.10 tff(34686,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s12)), introduced(assumption)).
% 80.77/53.10 tff(34687,assumption,(node21(c_e_h_3, c_q, s11, s12)), introduced(assumption)).
% 80.77/53.10 tff(34688,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34689,plain,
% 80.77/53.10 ((node20(c_e_h_3, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node21(c_e_h_3, c_q, s11, s12))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12)))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34690,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node21(c_e_h_3, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12))))),
% 80.77/53.10 inference(monotonicity,[status(thm)],[34689])).
% 80.77/53.10 tff(34691,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node21(c_e_h_3, c_q, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12)))),
% 80.77/53.10 inference(transitivity,[status(thm)],[34690, 34688])).
% 80.77/53.10 tff(34692,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s11) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node21(c_e_h_3, c_q, s11, s12)))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34693,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11) | (~node21(c_e_h_3, c_q, s11, s12))),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34692, 34691])).
% 80.77/53.10 tff(34694,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34693, 348, 34686, 34687, 34685])).
% 80.77/53.10 tff(34695,plain,((~node21(c_e_h_3, c_q, s11, s12)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | node20(c_e_h_3, c_q, s11)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34696,plain,
% 80.77/53.10 (~node21(c_e_h_3, c_q, s11, s12)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34695, 34686, 34685])).
% 80.77/53.10 tff(34697,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_3, c_q, s11, s12) | node22(c_e_h_3, c_q, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_3, c_q, s11, s12) | node22(c_e_h_3, c_q, s11, s12))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34698,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s11, s12)) | node21(c_e_h_3, c_q, s11, s12) | node22(c_e_h_3, c_q, s11, s12))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34699,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s11, s12)) | node21(c_e_h_3, c_q, s11, s12) | node22(c_e_h_3, c_q, s11, s12)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34698, 34697])).
% 80.77/53.10 tff(34700,plain,
% 80.77/53.10 (node21(c_e_h_3, c_q, s11, s12) | node22(c_e_h_3, c_q, s11, s12)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34699, 383, 8210])).
% 80.77/53.10 tff(34701,plain,
% 80.77/53.10 (node22(c_e_h_3, c_q, s11, s12)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34700, 34696])).
% 80.77/53.10 tff(34702,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node22(c_e_h_3, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node22(c_e_h_3, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34703,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node22(c_e_h_3, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34704,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | (~node22(c_e_h_3, c_q, s11, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34703, 34702])).
% 80.77/53.10 tff(34705,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34704, 437, 34686, 34164, 34701])).
% 80.77/53.10 tff(34706,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s11) | node20(c_e_h_3, c_q, s11)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34707,plain,
% 80.77/53.10 (~m_and_h_gate_v_out(c_e_h_3, c_q, s12)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34706, 34684, 34164])).
% 80.77/53.10 tff(34708,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.77/53.10 tff(34709,assumption,(node20(c_e_h_1, c_p, s6)), introduced(assumption)).
% 80.77/53.10 tff(34710,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34341, 22, 34709, 34708])).
% 80.77/53.10 tff(34711,plain,((~node20(c_e_h_1, c_p, s6)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s6)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34712,plain,
% 80.77/53.10 (~node20(c_e_h_1, c_p, s6)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34711, 34232])).
% 80.77/53.10 tff(34713,plain,
% 80.77/53.10 (~m_and_h_gate_v_out(c_e_h_1, c_p, s7)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34507, 34712, 34182])).
% 80.77/53.10 tff(34714,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34502, 34268, 34713, 34478])).
% 80.77/53.10 tff(34715,plain,(m_and_h_gate_v_out(c_e_h_1, c_k, s5) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_p, s5) | node20(c_e_h_1, c_k, s6) | node20(c_e_h_1, c_k, s5)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34716,plain,
% 80.77/53.10 (~m_and_h_gate_v_out(c_e_h_1, c_p, s8)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34715, 33399, 3365, 34198, 34179])).
% 80.77/53.10 tff(34717,plain,
% 80.77/53.10 (~m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[26719, 19993, 34183])).
% 80.77/53.10 tff(34718,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_k, s7)), introduced(assumption)).
% 80.77/53.10 tff(34719,plain,
% 80.77/53.10 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34720,plain,
% 80.77/53.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34721,plain,
% 80.77/53.10 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_k, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 80.77/53.10 tff(34722,plain,
% 80.77/53.10 ($false),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34721, 2538, 15853, 34718])).
% 80.77/53.10 tff(34723,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)) | m_or_h_gate_v_out(c_e_h_1, c_g, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.10 tff(34724,plain,
% 80.77/53.10 (~m_and_h_gate_v_in1(c_e_h_1, c_k, s7)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34723, 34717])).
% 80.77/53.10 tff(34725,plain,
% 80.77/53.10 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s7))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s7))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34726,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s7))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34727,plain,
% 80.77/53.10 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_k, s7)) | m_and_h_gate_v_in1(c_e_h_1, c_k, s7)),
% 80.77/53.10 inference(modus_ponens,[status(thm)],[34726, 34725])).
% 80.77/53.10 tff(34728,plain,
% 80.77/53.10 (~node20(c_e_h_1, c_k, s7)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34727, 22, 34724])).
% 80.77/53.10 tff(34729,plain,
% 80.77/53.10 (~m_and_h_gate_v_out(c_e_h_1, c_k, s6)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34223, 33399, 34179])).
% 80.77/53.10 tff(34730,plain,
% 80.77/53.10 (~m_and_h_gate_v_out(c_e_h_1, c_k, s7)),
% 80.77/53.10 inference(unit_resolution,[status(thm)],[34251, 34729, 34198])).
% 80.77/53.10 tff(34731,assumption,(m_and_h_gate_v_out(c_e_h_1, c_k, s8)), introduced(assumption)).
% 80.77/53.10 tff(34732,assumption,(node22(c_e_h_1, c_k, s7, s8)), introduced(assumption)).
% 80.77/53.10 tff(34733,plain,
% 80.77/53.10 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node22(c_e_h_1, c_k, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node22(c_e_h_1, c_k, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))),
% 80.77/53.10 inference(rewrite,[status(thm)],[])).
% 80.77/53.10 tff(34734,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node22(c_e_h_1, c_k, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7))),
% 80.77/53.10 inference(quant_inst,[status(thm)],[])).
% 80.77/53.10 tff(34735,plain,
% 80.77/53.10 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node22(c_e_h_1, c_k, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 80.77/53.11 tff(34736,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34735, 437, 34732, 34254, 34731])).
% 80.77/53.11 tff(34737,plain,((~node22(c_e_h_1, c_k, s7, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34738,plain,
% 80.77/53.11 (~node22(c_e_h_1, c_k, s7, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34737, 34731, 34254])).
% 80.77/53.11 tff(34739,assumption,(~node20(c_e_h_1, c_k, s7)), introduced(assumption)).
% 80.77/53.11 tff(34740,assumption,(node21(c_e_h_1, c_k, s7, s8)), introduced(assumption)).
% 80.77/53.11 tff(34741,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34742,plain,
% 80.77/53.11 ((node20(c_e_h_1, c_k, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node21(c_e_h_1, c_k, s7, s8))) <=> (node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34743,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node21(c_e_h_1, c_k, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8))))),
% 80.77/53.11 inference(monotonicity,[status(thm)],[34742])).
% 80.77/53.11 tff(34744,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node21(c_e_h_1, c_k, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)))),
% 80.77/53.11 inference(transitivity,[status(thm)],[34743, 34741])).
% 80.77/53.11 tff(34745,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_k, s7) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | (~node21(c_e_h_1, c_k, s7, s8)))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34746,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_k, s7) | (~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8))),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34745, 34744])).
% 80.77/53.11 tff(34747,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34746, 348, 34740, 34731, 34739])).
% 80.77/53.11 tff(34748,plain,((~node21(c_e_h_1, c_k, s7, s8)) | (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | node20(c_e_h_1, c_k, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34749,plain,
% 80.77/53.11 (~node21(c_e_h_1, c_k, s7, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34748, 34731, 34739])).
% 80.77/53.11 tff(34750,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_k, s7, s8) | node22(c_e_h_1, c_k, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_k, s7, s8) | node22(c_e_h_1, c_k, s7, s8))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34751,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s7, s8)) | node21(c_e_h_1, c_k, s7, s8) | node22(c_e_h_1, c_k, s7, s8))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34752,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s7, s8)) | node21(c_e_h_1, c_k, s7, s8) | node22(c_e_h_1, c_k, s7, s8)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34751, 34750])).
% 80.77/53.11 tff(34753,plain,
% 80.77/53.11 (node21(c_e_h_1, c_k, s7, s8) | node22(c_e_h_1, c_k, s7, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34752, 383, 2456])).
% 80.77/53.11 tff(34754,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34753, 34749, 34738])).
% 80.77/53.11 tff(34755,plain,((~m_and_h_gate_v_out(c_e_h_1, c_k, s8)) | node20(c_e_h_1, c_k, s7) | m_and_h_gate_v_out(c_e_h_1, c_k, s7)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34756,plain,
% 80.77/53.11 (~m_and_h_gate_v_out(c_e_h_1, c_k, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34755, 34730, 34728])).
% 80.77/53.11 tff(34757,assumption,(m_and_h_gate_v_in1(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.11 tff(34758,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_k, s8)), introduced(assumption)).
% 80.77/53.11 tff(34759,plain,
% 80.77/53.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s8))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s8))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34760,plain,
% 80.77/53.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s8))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34761,plain,
% 80.77/53.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_p, X)) | m_and_h_gate_v_out(I0, c_k, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s8)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 80.77/53.11 tff(34762,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34761, 1380, 34758, 34757])).
% 80.77/53.11 tff(34763,plain,((~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)) | m_and_h_gate_v_out(c_e_h_1, c_k, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34764,plain,
% 80.77/53.11 (~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34763, 34756])).
% 80.77/53.11 tff(34765,assumption,(node20(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.11 tff(34766,assumption,(~m_and_h_gate_v_in1(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.11 tff(34767,plain,
% 80.77/53.11 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s8))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s8))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34768,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_p, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s8))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34769,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_p, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s8)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 80.77/53.11 tff(34770,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34769, 22, 34766, 34765])).
% 80.77/53.11 tff(34771,plain,((~node20(c_e_h_1, c_p, s8)) | m_and_h_gate_v_in1(c_e_h_1, c_p, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34772,plain,
% 80.77/53.11 (~node20(c_e_h_1, c_p, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34771, 34764])).
% 80.77/53.11 tff(34773,assumption,(~node20(c_e_h_1, c_p, s8)), introduced(assumption)).
% 80.77/53.11 tff(34774,assumption,(m_mutex_h_half_v_out(c_e_h_3, c_b, s10)), introduced(assumption)).
% 80.77/53.11 tff(34775,plain,
% 80.77/53.11 (~m_cell_v_req(c_e_h_1, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34475, 34469])).
% 80.77/53.11 tff(34776,plain,
% 80.77/53.11 (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s8)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34467, 34775])).
% 80.77/53.11 tff(34777,plain,
% 80.77/53.11 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34455, 34776, 34351])).
% 80.77/53.11 tff(34778,assumption,(node13(c_e_h_3, c_b, s9, s10)), introduced(assumption)).
% 80.77/53.11 tff(34779,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node13(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node13(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34780,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | ((~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node13(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34781,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_mutex_h_half_v_out(I0, I1, Y)) | (~node13(I0, I1, X, Y)) | m_mutex_h_half_v_out(I0, I1, X))) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node13(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 80.77/53.11 tff(34782,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34781, 1004, 34778, 34427, 34774])).
% 80.77/53.11 tff(34783,plain,((~node13(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34784,plain,
% 80.77/53.11 (~node13(c_e_h_3, c_b, s9, s10)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34783, 34777, 34774])).
% 80.77/53.11 tff(34785,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s9, s10)) | node12(c_e_h_3, c_b, s9, s10) | node13(c_e_h_3, c_b, s9, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s9, s10)) | node12(c_e_h_3, c_b, s9, s10) | node13(c_e_h_3, c_b, s9, s10))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34786,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | ((~trans(s9, s10)) | node12(c_e_h_3, c_b, s9, s10) | node13(c_e_h_3, c_b, s9, s10))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34787,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node12(I0, I1, X, Y) | node13(I0, I1, X, Y))) | (~trans(s9, s10)) | node12(c_e_h_3, c_b, s9, s10) | node13(c_e_h_3, c_b, s9, s10)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 80.77/53.11 tff(34788,plain,
% 80.77/53.11 (node12(c_e_h_3, c_b, s9, s10) | node13(c_e_h_3, c_b, s9, s10)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34787, 1020, 6039])).
% 80.77/53.11 tff(34789,plain,
% 80.77/53.11 (node12(c_e_h_3, c_b, s9, s10)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34788, 34784])).
% 80.77/53.11 tff(34790,assumption,(~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9)), introduced(assumption)).
% 80.77/53.11 tff(34791,assumption,(node12(c_e_h_3, c_b, s9, s10)), introduced(assumption)).
% 80.77/53.11 tff(34792,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34793,plain,
% 80.77/53.11 (((~node12(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10))) <=> (m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34794,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | (m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10))))),
% 80.77/53.11 inference(monotonicity,[status(thm)],[34793])).
% 80.77/53.11 tff(34795,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10)))),
% 80.77/53.11 inference(transitivity,[status(thm)],[34794, 34792])).
% 80.77/53.11 tff(34796,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | ((~node12(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34797,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node12(I0, I1, X, Y)) | m_mutex_h_half_v_inp(I0, I1, X) | (~m_mutex_h_half_v_out(I0, I1, Y)))) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | (~node12(c_e_h_3, c_b, s9, s10))),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34796, 34795])).
% 80.77/53.11 tff(34798,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34797, 1082, 34791, 34790, 34774])).
% 80.77/53.11 tff(34799,plain,((~node12(c_e_h_3, c_b, s9, s10)) | m_mutex_h_half_v_inp(c_e_h_3, c_b, s9) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10))), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34800,plain,
% 80.77/53.11 (m_mutex_h_half_v_inp(c_e_h_3, c_b, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34799, 34789, 34774])).
% 80.77/53.11 tff(34801,plain,
% 80.77/53.11 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s9))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s9))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34802,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s9))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34803,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node1(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node1(c_e_h_3, c_e_h_1, s9)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34802, 34801])).
% 80.77/53.11 tff(34804,plain,
% 80.77/53.11 (node1(c_e_h_3, c_e_h_1, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34803, 1050, 1047])).
% 80.77/53.11 tff(34805,plain,
% 80.77/53.11 (((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s9)) | m_cell_v_req(c_e_h_1, s9) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9)))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s9)) | m_cell_v_req(c_e_h_1, s9) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34806,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | ((~node1(c_e_h_3, c_e_h_1, s9)) | m_cell_v_req(c_e_h_1, s9) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9)))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34807,plain,
% 80.77/53.11 ((~![I0: $i, X: $i, J0: $i] : ((~node1(I0, J0, X)) | m_cell_v_req(J0, X) | (~m_mutex_h_half_v_inp(I0, c_b, X)))) | (~node1(c_e_h_3, c_e_h_1, s9)) | m_cell_v_req(c_e_h_1, s9) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9))),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34806, 34805])).
% 80.77/53.11 tff(34808,plain,
% 80.77/53.11 (m_cell_v_req(c_e_h_1, s9) | (~m_mutex_h_half_v_inp(c_e_h_3, c_b, s9))),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34807, 1064, 34804])).
% 80.77/53.11 tff(34809,plain,
% 80.77/53.11 (m_cell_v_req(c_e_h_1, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34808, 34800])).
% 80.77/53.11 tff(34810,plain,
% 80.77/53.11 (((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s9))) <=> ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s9))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34811,plain,
% 80.77/53.11 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | ((~m_cell_v_req(c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s9))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34812,plain,
% 80.77/53.11 ((~![I0: $i, X: $i] : ((~m_cell_v_req(I0, X)) | m_and_h_gate_v_out(I0, c_p, X))) | (~m_cell_v_req(c_e_h_1, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s9)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34811, 34810])).
% 80.77/53.11 tff(34813,plain,
% 80.77/53.11 (m_and_h_gate_v_out(c_e_h_1, c_p, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34812, 1036, 34809])).
% 80.77/53.11 tff(34814,assumption,(node22(c_e_h_1, c_p, s8, s9)), introduced(assumption)).
% 80.77/53.11 tff(34815,assumption,(m_and_h_gate_v_out(c_e_h_1, c_p, s9)), introduced(assumption)).
% 80.77/53.11 tff(34816,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node22(c_e_h_1, c_p, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node22(c_e_h_1, c_p, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34817,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node22(c_e_h_1, c_p, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34818,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node22(c_e_h_1, c_p, s8, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34817, 34816])).
% 80.77/53.11 tff(34819,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34818, 437, 34815, 34814, 34469])).
% 80.77/53.11 tff(34820,plain,((~node22(c_e_h_1, c_p, s8, s9)) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | m_and_h_gate_v_out(c_e_h_1, c_p, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34821,plain,
% 80.77/53.11 (~node22(c_e_h_1, c_p, s8, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34820, 34813, 34469])).
% 80.77/53.11 tff(34822,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_p, s8, s9) | node22(c_e_h_1, c_p, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_p, s8, s9) | node22(c_e_h_1, c_p, s8, s9))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34823,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s8, s9)) | node21(c_e_h_1, c_p, s8, s9) | node22(c_e_h_1, c_p, s8, s9))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34824,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s8, s9)) | node21(c_e_h_1, c_p, s8, s9) | node22(c_e_h_1, c_p, s8, s9)),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34823, 34822])).
% 80.77/53.11 tff(34825,plain,
% 80.77/53.11 (node21(c_e_h_1, c_p, s8, s9) | node22(c_e_h_1, c_p, s8, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34824, 383, 3713])).
% 80.77/53.11 tff(34826,plain,
% 80.77/53.11 (node21(c_e_h_1, c_p, s8, s9)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34825, 34821])).
% 80.77/53.11 tff(34827,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34828,plain,
% 80.77/53.11 ((node20(c_e_h_1, c_p, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node21(c_e_h_1, c_p, s8, s9))) <=> ((~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9)))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34829,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node21(c_e_h_1, c_p, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9))))),
% 80.77/53.11 inference(monotonicity,[status(thm)],[34828])).
% 80.77/53.11 tff(34830,plain,
% 80.77/53.11 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node21(c_e_h_1, c_p, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9)))),
% 80.77/53.11 inference(transitivity,[status(thm)],[34829, 34827])).
% 80.77/53.11 tff(34831,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_p, s8) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | (~node21(c_e_h_1, c_p, s8, s9)))),
% 80.77/53.11 inference(quant_inst,[status(thm)],[])).
% 80.77/53.11 tff(34832,plain,
% 80.77/53.11 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_1, c_p, s9)) | node20(c_e_h_1, c_p, s8) | (~node21(c_e_h_1, c_p, s8, s9))),
% 80.77/53.11 inference(modus_ponens,[status(thm)],[34831, 34830])).
% 80.77/53.11 tff(34833,plain,
% 80.77/53.11 ($false),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34832, 348, 34813, 34826, 34773])).
% 80.77/53.11 tff(34834,plain,(m_and_h_gate_v_out(c_e_h_1, c_p, s8) | node20(c_e_h_1, c_p, s8) | (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s8)), inference(lemma,lemma(discharge,[]))).
% 80.77/53.11 tff(34835,plain,
% 80.77/53.11 (~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)),
% 80.77/53.11 inference(unit_resolution,[status(thm)],[34834, 34772, 34521, 34716])).
% 80.77/53.11 tff(34836,assumption,(m_and_h_gate_v_in1(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.77/53.11 tff(34837,assumption,(~m_mutex_h_half_v_out(c_e_h_3, c_b, s10)), introduced(assumption)).
% 80.77/53.11 tff(34838,plain,
% 80.77/53.11 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s10))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s10))),
% 80.77/53.11 inference(rewrite,[status(thm)],[])).
% 80.77/53.11 tff(34839,plain,
% 80.77/53.11 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s10))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34840,plain,
% 80.85/53.12 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_d, X)) | m_mutex_h_half_v_out(I0, c_b, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s10)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 80.85/53.12 tff(34841,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34840, 966, 34837, 34836])).
% 80.85/53.12 tff(34842,plain,((~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)) | m_mutex_h_half_v_out(c_e_h_3, c_b, s10)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34843,plain,
% 80.85/53.12 (~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34842, 34835])).
% 80.85/53.12 tff(34844,assumption,(node20(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.85/53.12 tff(34845,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.85/53.12 tff(34846,plain,
% 80.85/53.12 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s10))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s10))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34847,plain,
% 80.85/53.12 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s10))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34848,plain,
% 80.85/53.12 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s10)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 80.85/53.12 tff(34849,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34848, 22, 34845, 34844])).
% 80.85/53.12 tff(34850,plain,((~node20(c_e_h_3, c_d, s10)) | m_and_h_gate_v_in1(c_e_h_3, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34851,plain,
% 80.85/53.12 (~node20(c_e_h_3, c_d, s10)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34850, 34843])).
% 80.85/53.12 tff(34852,assumption,(m_and_h_gate_v_out(c_e_h_3, c_d, s11)), introduced(assumption)).
% 80.85/53.12 tff(34853,assumption,(node22(c_e_h_3, c_d, s10, s11)), introduced(assumption)).
% 80.85/53.12 tff(34854,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node22(c_e_h_3, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node22(c_e_h_3, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34855,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node22(c_e_h_3, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34856,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node22(c_e_h_3, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34855, 34854])).
% 80.85/53.12 tff(34857,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34856, 437, 34853, 34512, 34852])).
% 80.85/53.12 tff(34858,plain,((~node22(c_e_h_3, c_d, s10, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34859,plain,
% 80.85/53.12 (~node22(c_e_h_3, c_d, s10, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34858, 34852, 34512])).
% 80.85/53.12 tff(34860,assumption,(~node20(c_e_h_3, c_d, s10)), introduced(assumption)).
% 80.85/53.12 tff(34861,assumption,(node21(c_e_h_3, c_d, s10, s11)), introduced(assumption)).
% 80.85/53.12 tff(34862,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11)))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34863,plain,
% 80.85/53.12 ((node20(c_e_h_3, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node21(c_e_h_3, c_d, s10, s11))) <=> ((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11)))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34864,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node21(c_e_h_3, c_d, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | ((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11))))),
% 80.85/53.12 inference(monotonicity,[status(thm)],[34863])).
% 80.85/53.12 tff(34865,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node21(c_e_h_3, c_d, s10, s11)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11)))),
% 80.85/53.12 inference(transitivity,[status(thm)],[34864, 34862])).
% 80.85/53.12 tff(34866,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_d, s10) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | (~node21(c_e_h_3, c_d, s10, s11)))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34867,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | (~node21(c_e_h_3, c_d, s10, s11))),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34866, 34865])).
% 80.85/53.12 tff(34868,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34867, 348, 34861, 34852, 34860])).
% 80.85/53.12 tff(34869,plain,((~node21(c_e_h_3, c_d, s10, s11)) | (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34870,plain,
% 80.85/53.12 (~node21(c_e_h_3, c_d, s10, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34869, 34852, 34860])).
% 80.85/53.12 tff(34871,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_3, c_d, s10, s11) | node22(c_e_h_3, c_d, s10, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_3, c_d, s10, s11) | node22(c_e_h_3, c_d, s10, s11))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34872,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s10, s11)) | node21(c_e_h_3, c_d, s10, s11) | node22(c_e_h_3, c_d, s10, s11))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34873,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s10, s11)) | node21(c_e_h_3, c_d, s10, s11) | node22(c_e_h_3, c_d, s10, s11)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 80.85/53.12 tff(34874,plain,
% 80.85/53.12 (node21(c_e_h_3, c_d, s10, s11) | node22(c_e_h_3, c_d, s10, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34873, 383, 8015])).
% 80.85/53.12 tff(34875,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34874, 34870, 34859])).
% 80.85/53.12 tff(34876,plain,((~m_and_h_gate_v_out(c_e_h_3, c_d, s11)) | node20(c_e_h_3, c_d, s10) | m_and_h_gate_v_out(c_e_h_3, c_d, s10)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34877,plain,
% 80.85/53.12 (~m_and_h_gate_v_out(c_e_h_3, c_d, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34876, 34511, 34851])).
% 80.85/53.12 tff(34878,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_d, s11)), introduced(assumption)).
% 80.85/53.12 tff(34879,assumption,(m_c_h_element_v_in1(c_e_h_3, c_f, s11)), introduced(assumption)).
% 80.85/53.12 tff(34880,plain,
% 80.85/53.12 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s11))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s11))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34881,plain,
% 80.85/53.12 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s11))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34882,plain,
% 80.85/53.12 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_f, X)) | m_and_h_gate_v_out(I0, c_d, X))) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s11)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34881, 34880])).
% 80.85/53.12 tff(34883,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34882, 1126, 34879, 34878])).
% 80.85/53.12 tff(34884,plain,((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_and_h_gate_v_out(c_e_h_3, c_d, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34885,plain,
% 80.85/53.12 (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34884, 34877])).
% 80.85/53.12 tff(34886,assumption,(m_c_h_element_v_out(c_e_h_3, c_f, s12)), introduced(assumption)).
% 80.85/53.12 tff(34887,assumption,(node18(c_e_h_3, c_f, s11, s12)), introduced(assumption)).
% 80.85/53.12 tff(34888,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11) | (~node18(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11) | (~node18(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34889,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11) | (~node18(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34890,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11) | (~node18(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34889, 34888])).
% 80.85/53.12 tff(34891,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34890, 481, 34886, 34670, 34887])).
% 80.85/53.12 tff(34892,plain,((~node18(c_e_h_3, c_f, s11, s12)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34893,plain,
% 80.85/53.12 (~node18(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34892, 34886, 34670])).
% 80.85/53.12 tff(34894,assumption,(~m_c_h_element_v_in2(c_e_h_3, c_f, s11)), introduced(assumption)).
% 80.85/53.12 tff(34895,assumption,(node15(c_e_h_3, c_f, s11, s12)), introduced(assumption)).
% 80.85/53.12 tff(34896,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node15(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node15(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34897,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node15(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34898,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node15(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34897, 34896])).
% 80.85/53.12 tff(34899,plain,
% 80.85/53.12 ($false),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34898, 612, 34886, 34670, 34895])).
% 80.85/53.12 tff(34900,plain,((~node15(c_e_h_3, c_f, s11, s12)) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.12 tff(34901,plain,
% 80.85/53.12 (~node15(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34900, 34886, 34670])).
% 80.85/53.12 tff(34902,assumption,(~m_c_h_element_v_in1(c_e_h_3, c_f, s11)), introduced(assumption)).
% 80.85/53.12 tff(34903,assumption,(~node15(c_e_h_3, c_f, s11, s12)), introduced(assumption)).
% 80.85/53.12 tff(34904,plain,
% 80.85/53.12 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | m_c_h_element_v_in2(c_e_h_3, c_f, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | m_c_h_element_v_in2(c_e_h_3, c_f, s11))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34905,plain,
% 80.85/53.12 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | m_c_h_element_v_in2(c_e_h_3, c_f, s11))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34906,plain,
% 80.85/53.12 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | m_c_h_element_v_in2(c_e_h_3, c_f, s11)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 80.85/53.12 tff(34907,plain,
% 80.85/53.12 ((~node16(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34906, 559, 34894])).
% 80.85/53.12 tff(34908,plain,
% 80.85/53.12 (~node16(c_e_h_3, c_f, s11)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34907, 34902])).
% 80.85/53.12 tff(34909,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_3, c_f, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34910,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s11, s12)) | node19(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34911,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s11, s12)) | node19(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34910, 34909])).
% 80.85/53.12 tff(34912,plain,
% 80.85/53.12 (node19(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34911, 494, 8210])).
% 80.85/53.12 tff(34913,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34914,plain,
% 80.85/53.12 ((node16(c_e_h_3, c_f, s11) | node14(c_e_h_3, c_f, s11, s12) | node15(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12))) <=> (node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34915,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s11) | node14(c_e_h_3, c_f, s11, s12) | node15(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(monotonicity,[status(thm)],[34914])).
% 80.85/53.12 tff(34916,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s11) | node14(c_e_h_3, c_f, s11, s12) | node15(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12))),
% 80.85/53.12 inference(transitivity,[status(thm)],[34915, 34913])).
% 80.85/53.12 tff(34917,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_3, c_f, s11) | node14(c_e_h_3, c_f, s11, s12) | node15(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(quant_inst,[status(thm)],[])).
% 80.85/53.12 tff(34918,plain,
% 80.85/53.12 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(modus_ponens,[status(thm)],[34917, 34916])).
% 80.85/53.12 tff(34919,plain,
% 80.85/53.12 (node16(c_e_h_3, c_f, s11) | node15(c_e_h_3, c_f, s11, s12) | node14(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34918, 594, 34912])).
% 80.85/53.12 tff(34920,plain,
% 80.85/53.12 (node14(c_e_h_3, c_f, s11, s12)),
% 80.85/53.12 inference(unit_resolution,[status(thm)],[34919, 34908, 34903])).
% 80.85/53.12 tff(34921,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34922,plain,
% 80.85/53.12 (((~node14(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12))) <=> (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.12 inference(rewrite,[status(thm)],[])).
% 80.85/53.12 tff(34923,plain,
% 80.85/53.12 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12))))),
% 80.85/53.13 inference(monotonicity,[status(thm)],[34922])).
% 80.85/53.13 tff(34924,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.13 inference(transitivity,[status(thm)],[34923, 34921])).
% 80.85/53.13 tff(34925,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_3, c_f, s11, s12)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34926,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | (~node14(c_e_h_3, c_f, s11, s12))),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 80.85/53.13 tff(34927,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34926, 575, 34886, 34920, 34902])).
% 80.85/53.13 tff(34928,plain,(m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | node15(c_e_h_3, c_f, s11, s12) | m_c_h_element_v_in2(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34929,plain,
% 80.85/53.13 (m_c_h_element_v_in1(c_e_h_3, c_f, s11)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34928, 34886, 34901, 34894])).
% 80.85/53.13 tff(34930,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34931,plain,
% 80.85/53.13 (((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~node17(c_e_h_3, c_f, s11))) <=> ((~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34932,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~node17(c_e_h_3, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11))))),
% 80.85/53.13 inference(monotonicity,[status(thm)],[34931])).
% 80.85/53.13 tff(34933,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~node17(c_e_h_3, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(transitivity,[status(thm)],[34932, 34930])).
% 80.85/53.13 tff(34934,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~node17(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34935,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | m_c_h_element_v_in2(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34934, 34933])).
% 80.85/53.13 tff(34936,plain,
% 80.85/53.13 ((~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in1(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34935, 541, 34894])).
% 80.85/53.13 tff(34937,plain,
% 80.85/53.13 (~node17(c_e_h_3, c_f, s11)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34936, 34929])).
% 80.85/53.13 tff(34938,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34939,plain,
% 80.85/53.13 ((node17(c_e_h_3, c_f, s11) | node18(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12))) <=> (node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34940,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s11) | node18(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.13 inference(monotonicity,[status(thm)],[34939])).
% 80.85/53.13 tff(34941,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s11) | node18(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12))),
% 80.85/53.13 inference(transitivity,[status(thm)],[34940, 34938])).
% 80.85/53.13 tff(34942,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_3, c_f, s11) | node18(c_e_h_3, c_f, s11, s12) | (~node19(c_e_h_3, c_f, s11, s12)))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34943,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_3, c_f, s11) | (~node19(c_e_h_3, c_f, s11, s12)) | node18(c_e_h_3, c_f, s11, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34942, 34941])).
% 80.85/53.13 tff(34944,plain,
% 80.85/53.13 (node17(c_e_h_3, c_f, s11) | node18(c_e_h_3, c_f, s11, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34943, 508, 34912])).
% 80.85/53.13 tff(34945,plain,
% 80.85/53.13 (node18(c_e_h_3, c_f, s11, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34944, 34937])).
% 80.85/53.13 tff(34946,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34890, 481, 34886, 34670, 34945])).
% 80.85/53.13 tff(34947,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s11) | m_c_h_element_v_in2(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34948,plain,
% 80.85/53.13 (m_c_h_element_v_in2(c_e_h_3, c_f, s11)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34947, 34886, 34670])).
% 80.85/53.13 tff(34949,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34950,plain,
% 80.85/53.13 ((m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | (~node17(c_e_h_3, c_f, s11))) <=> ((~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34951,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | (~node17(c_e_h_3, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(monotonicity,[status(thm)],[34950])).
% 80.85/53.13 tff(34952,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | (~node17(c_e_h_3, c_f, s11)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(transitivity,[status(thm)],[34951, 34949])).
% 80.85/53.13 tff(34953,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_3, c_f, s11) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | (~node17(c_e_h_3, c_f, s11)))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34954,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34953, 34952])).
% 80.85/53.13 tff(34955,plain,
% 80.85/53.13 ((~node17(c_e_h_3, c_f, s11)) | (~m_c_h_element_v_in2(c_e_h_3, c_f, s11))),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34954, 1172, 34902])).
% 80.85/53.13 tff(34956,plain,
% 80.85/53.13 (~node17(c_e_h_3, c_f, s11)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34955, 34948])).
% 80.85/53.13 tff(34957,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34944, 34956, 34893])).
% 80.85/53.13 tff(34958,plain,((~m_c_h_element_v_out(c_e_h_3, c_f, s12)) | m_c_h_element_v_in1(c_e_h_3, c_f, s11) | m_c_h_element_v_out(c_e_h_3, c_f, s11)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34959,plain,
% 80.85/53.13 (~m_c_h_element_v_out(c_e_h_3, c_f, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34958, 34668, 34885])).
% 80.85/53.13 tff(34960,plain,
% 80.85/53.13 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s12))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34961,plain,
% 80.85/53.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | ((~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s12))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34962,plain,
% 80.85/53.13 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_q, X)) | m_c_h_element_v_out(I0, c_f, X))) | (~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)) | m_c_h_element_v_out(c_e_h_3, c_f, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34961, 34960])).
% 80.85/53.13 tff(34963,plain,
% 80.85/53.13 (~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34962, 397, 34959])).
% 80.85/53.13 tff(34964,assumption,(~m_and_h_gate_v_in1(c_e_h_3, c_q, s12)), introduced(assumption)).
% 80.85/53.13 tff(34965,assumption,(node20(c_e_h_3, c_q, s12)), introduced(assumption)).
% 80.85/53.13 tff(34966,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s12))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34967,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_3, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34968,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_3, c_q, s12)) | m_and_h_gate_v_in1(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 80.85/53.13 tff(34969,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34968, 22, 34965, 34964])).
% 80.85/53.13 tff(34970,plain,(m_and_h_gate_v_in1(c_e_h_3, c_q, s12) | (~node20(c_e_h_3, c_q, s12))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34971,plain,
% 80.85/53.13 (~node20(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34970, 34963])).
% 80.85/53.13 tff(34972,assumption,(~node20(c_e_h_3, c_q, s12)), introduced(assumption)).
% 80.85/53.13 tff(34973,assumption,(m_and_h_gate_v_out(c_e_h_3, c_q, s13)), introduced(assumption)).
% 80.85/53.13 tff(34974,assumption,(node21(c_e_h_3, c_q, s12, s13)), introduced(assumption)).
% 80.85/53.13 tff(34975,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node21(c_e_h_3, c_q, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node21(c_e_h_3, c_q, s12, s13)))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34976,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_3, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node21(c_e_h_3, c_q, s12, s13)))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34977,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_3, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node21(c_e_h_3, c_q, s12, s13))),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 80.85/53.13 tff(34978,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34977, 348, 34973, 34974, 34972])).
% 80.85/53.13 tff(34979,plain,((~node21(c_e_h_3, c_q, s12, s13)) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | node20(c_e_h_3, c_q, s12)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34980,plain,
% 80.85/53.13 (~node21(c_e_h_3, c_q, s12, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34979, 34973, 34972])).
% 80.85/53.13 tff(34981,assumption,(~m_and_h_gate_v_out(c_e_h_3, c_q, s12)), introduced(assumption)).
% 80.85/53.13 tff(34982,assumption,(node22(c_e_h_3, c_q, s12, s13)), introduced(assumption)).
% 80.85/53.13 tff(34983,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node22(c_e_h_3, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node22(c_e_h_3, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34984,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node22(c_e_h_3, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34985,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | (~node22(c_e_h_3, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34984, 34983])).
% 80.85/53.13 tff(34986,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34985, 437, 34981, 34973, 34982])).
% 80.85/53.13 tff(34987,plain,((~node22(c_e_h_3, c_q, s12, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12) | (~m_and_h_gate_v_out(c_e_h_3, c_q, s13))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34988,plain,
% 80.85/53.13 (~node22(c_e_h_3, c_q, s12, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34987, 34973, 34981])).
% 80.85/53.13 tff(34989,plain,
% 80.85/53.13 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_3, c_q, s12, s13) | node22(c_e_h_3, c_q, s12, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_3, c_q, s12, s13) | node22(c_e_h_3, c_q, s12, s13))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34990,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s12, s13)) | node21(c_e_h_3, c_q, s12, s13) | node22(c_e_h_3, c_q, s12, s13))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34991,plain,
% 80.85/53.13 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s12, s13)) | node21(c_e_h_3, c_q, s12, s13) | node22(c_e_h_3, c_q, s12, s13)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 80.85/53.13 tff(34992,plain,
% 80.85/53.13 (node21(c_e_h_3, c_q, s12, s13) | node22(c_e_h_3, c_q, s12, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34991, 383, 8278])).
% 80.85/53.13 tff(34993,plain,
% 80.85/53.13 ($false),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34992, 34988, 34980])).
% 80.85/53.13 tff(34994,plain,((~m_and_h_gate_v_out(c_e_h_3, c_q, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12) | node20(c_e_h_3, c_q, s12)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.13 tff(34995,plain,
% 80.85/53.13 (~m_and_h_gate_v_out(c_e_h_3, c_q, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34994, 34971, 34707])).
% 80.85/53.13 tff(34996,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s13))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(34997,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s13))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(34998,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s13)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 80.85/53.13 tff(34999,plain,
% 80.85/53.13 (node3(c_e_h_3, c_e_h_1, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[34998, 1050, 1791])).
% 80.85/53.13 tff(35000,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s13)) | (~node3(c_e_h_3, c_e_h_1, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s13))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s13)) | (~node3(c_e_h_3, c_e_h_1, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s13))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(35001,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s13)) | (~node3(c_e_h_3, c_e_h_1, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s13))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(35002,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s13)) | (~node3(c_e_h_3, c_e_h_1, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s13)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 80.85/53.13 tff(35003,plain,
% 80.85/53.13 ((~m_cell_v_ack(c_e_h_1, s13)) | m_and_h_gate_v_out(c_e_h_3, c_q, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35002, 1808, 34999])).
% 80.85/53.13 tff(35004,plain,
% 80.85/53.13 (~m_cell_v_ack(c_e_h_1, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35003, 34995])).
% 80.85/53.13 tff(35005,plain,
% 80.85/53.13 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)) | m_cell_v_ack(c_e_h_1, s13))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)) | m_cell_v_ack(c_e_h_1, s13))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(35006,plain,
% 80.85/53.13 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)) | m_cell_v_ack(c_e_h_1, s13))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(35007,plain,
% 80.85/53.13 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)) | m_cell_v_ack(c_e_h_1, s13)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 80.85/53.13 tff(35008,plain,
% 80.85/53.13 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35007, 1820, 35004])).
% 80.85/53.13 tff(35009,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(35010,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | ((~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s12))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(35011,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_left(I0, J0)) | node3(I0, J0, X))) | (~m_cell_v_left(c_e_h_3, c_e_h_1)) | node3(c_e_h_3, c_e_h_1, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 80.85/53.13 tff(35012,plain,
% 80.85/53.13 (node3(c_e_h_3, c_e_h_1, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35011, 1050, 1791])).
% 80.85/53.13 tff(35013,plain,
% 80.85/53.13 (((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s12)) | (~node3(c_e_h_3, c_e_h_1, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))) <=> ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s12)) | (~node3(c_e_h_3, c_e_h_1, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.13 tff(35014,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | ((~m_cell_v_ack(c_e_h_1, s12)) | (~node3(c_e_h_3, c_e_h_1, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12))),
% 80.85/53.13 inference(quant_inst,[status(thm)],[])).
% 80.85/53.13 tff(35015,plain,
% 80.85/53.13 ((~![I0: $i, X: $i, J0: $i] : ((~m_cell_v_ack(J0, X)) | (~node3(I0, J0, X)) | m_and_h_gate_v_out(I0, c_q, X))) | (~m_cell_v_ack(c_e_h_1, s12)) | (~node3(c_e_h_3, c_e_h_1, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(modus_ponens,[status(thm)],[35014, 35013])).
% 80.85/53.13 tff(35016,plain,
% 80.85/53.13 ((~m_cell_v_ack(c_e_h_1, s12)) | m_and_h_gate_v_out(c_e_h_3, c_q, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35015, 1808, 35012])).
% 80.85/53.13 tff(35017,plain,
% 80.85/53.13 (~m_cell_v_ack(c_e_h_1, s12)),
% 80.85/53.13 inference(unit_resolution,[status(thm)],[35016, 34707])).
% 80.85/53.13 tff(35018,plain,
% 80.85/53.13 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)) | m_cell_v_ack(c_e_h_1, s12))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)) | m_cell_v_ack(c_e_h_1, s12))),
% 80.85/53.13 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35019,plain,
% 80.85/53.14 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | ((~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)) | m_cell_v_ack(c_e_h_1, s12))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35020,plain,
% 80.85/53.14 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_in2(I0, c_j, X)) | m_cell_v_ack(I0, X))) | (~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)) | m_cell_v_ack(c_e_h_1, s12)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35019, 35018])).
% 80.85/53.14 tff(35021,plain,
% 80.85/53.14 (~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35020, 1820, 35017])).
% 80.85/53.14 tff(35022,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s13)), introduced(assumption)).
% 80.85/53.14 tff(35023,assumption,(~m_or_h_gate_v_in1(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.85/53.14 tff(35024,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s12)), introduced(assumption)).
% 80.85/53.14 tff(35025,assumption,(m_or_h_gate_v_out(c_e_h_1, c_j, s13)), introduced(assumption)).
% 80.85/53.14 tff(35026,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35027,plain,
% 80.85/53.14 ((m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13))) <=> (m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35028,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13))))),
% 80.85/53.14 inference(monotonicity,[status(thm)],[35027])).
% 80.85/53.14 tff(35029,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(transitivity,[status(thm)],[35028, 35026])).
% 80.85/53.14 tff(35030,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | (m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35031,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_in1(I0, I1, X) | m_or_h_gate_v_in2(I0, I1, X) | (~node5(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)))) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | (~node5(c_e_h_1, c_j, s12, s13))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35030, 35029])).
% 80.85/53.14 tff(35032,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35031, 1888, 35025, 33823, 35023, 35024])).
% 80.85/53.14 tff(35033,plain,((~node5(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35034,plain,
% 80.85/53.14 (~node5(c_e_h_1, c_j, s12, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35033, 35025, 35023, 35024])).
% 80.85/53.14 tff(35035,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35036,plain,
% 80.85/53.14 (((~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)) <=> (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35037,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | (m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13))))),
% 80.85/53.14 inference(monotonicity,[status(thm)],[35036])).
% 80.85/53.14 tff(35038,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13)))),
% 80.85/53.14 inference(transitivity,[status(thm)],[35037, 35035])).
% 80.85/53.14 tff(35039,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | ((~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35040,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, Y)) | m_or_h_gate_v_out(I0, I1, X))) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | (~node6(c_e_h_1, c_j, s12, s13))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35039, 35038])).
% 80.85/53.14 tff(35041,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35040, 1851, 35025, 30196, 33842])).
% 80.85/53.14 tff(35042,plain,((~node6(c_e_h_1, c_j, s12, s13)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35043,plain,
% 80.85/53.14 (~node6(c_e_h_1, c_j, s12, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35042, 35025, 30196])).
% 80.85/53.14 tff(35044,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[33840, 35043, 35034])).
% 80.85/53.14 tff(35045,plain,((~m_or_h_gate_v_out(c_e_h_1, c_j, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s12) | m_or_h_gate_v_in1(c_e_h_1, c_j, s12) | m_or_h_gate_v_in2(c_e_h_1, c_j, s12)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35046,plain,
% 80.85/53.14 (~m_or_h_gate_v_out(c_e_h_1, c_j, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35045, 35021, 35023, 30196])).
% 80.85/53.14 tff(35047,plain,
% 80.85/53.14 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35048,plain,
% 80.85/53.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35049,plain,
% 80.85/53.14 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | m_or_h_gate_v_out(c_e_h_1, c_j, s13)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35048, 35047])).
% 80.85/53.14 tff(35050,plain,
% 80.85/53.14 (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35049, 1740, 35046])).
% 80.85/53.14 tff(35051,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s14)), introduced(assumption)).
% 80.85/53.14 tff(35052,assumption,(node18(c_e_h_1, c_h, s13, s14)), introduced(assumption)).
% 80.85/53.14 tff(35053,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~node18(c_e_h_1, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~node18(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35054,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~node18(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35055,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~node18(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 80.85/53.14 tff(35056,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35055, 481, 35051, 35022, 35052])).
% 80.85/53.14 tff(35057,plain,((~node18(c_e_h_1, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35058,plain,
% 80.85/53.14 (~node18(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35057, 35022, 35051])).
% 80.85/53.14 tff(35059,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_h, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35060,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s13, s14)) | node19(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35061,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s13, s14)) | node19(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35060, 35059])).
% 80.85/53.14 tff(35062,plain,
% 80.85/53.14 (node19(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35061, 494, 8985])).
% 80.85/53.14 tff(35063,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35064,plain,
% 80.85/53.14 ((node17(c_e_h_1, c_h, s13) | node18(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14))) <=> (node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35065,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s13) | node18(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(monotonicity,[status(thm)],[35064])).
% 80.85/53.14 tff(35066,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s13) | node18(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(transitivity,[status(thm)],[35065, 35063])).
% 80.85/53.14 tff(35067,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s13) | node18(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35068,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s13) | (~node19(c_e_h_1, c_h, s13, s14)) | node18(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35067, 35066])).
% 80.85/53.14 tff(35069,plain,
% 80.85/53.14 (node17(c_e_h_1, c_h, s13) | node18(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35068, 508, 35062])).
% 80.85/53.14 tff(35070,plain,
% 80.85/53.14 (node17(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35069, 35058])).
% 80.85/53.14 tff(35071,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s13)), introduced(assumption)).
% 80.85/53.14 tff(35072,plain,
% 80.85/53.14 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13) | (~node17(c_e_h_1, c_h, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13) | (~node17(c_e_h_1, c_h, s13)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35073,plain,
% 80.85/53.14 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13) | (~node17(c_e_h_1, c_h, s13)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35074,plain,
% 80.85/53.14 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13) | (~node17(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35073, 35072])).
% 80.85/53.14 tff(35075,plain,
% 80.85/53.14 ((~m_c_h_element_v_in1(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35074, 541, 35071])).
% 80.85/53.14 tff(35076,plain,
% 80.85/53.14 (~m_c_h_element_v_in1(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35075, 35070])).
% 80.85/53.14 tff(35077,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s13)), introduced(assumption)).
% 80.85/53.14 tff(35078,assumption,(node14(c_e_h_1, c_h, s13, s14)), introduced(assumption)).
% 80.85/53.14 tff(35079,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35080,plain,
% 80.85/53.14 (((~node14(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14))) <=> ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35081,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14))))),
% 80.85/53.14 inference(monotonicity,[status(thm)],[35080])).
% 80.85/53.14 tff(35082,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(transitivity,[status(thm)],[35081, 35079])).
% 80.85/53.14 tff(35083,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35084,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~node14(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35083, 35082])).
% 80.85/53.14 tff(35085,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35084, 575, 35051, 35078, 35077])).
% 80.85/53.14 tff(35086,plain,((~node14(c_e_h_1, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35087,plain,
% 80.85/53.14 (~node14(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35086, 35076, 35051])).
% 80.85/53.14 tff(35088,assumption,(~node14(c_e_h_1, c_h, s13, s14)), introduced(assumption)).
% 80.85/53.14 tff(35089,assumption,(node15(c_e_h_1, c_h, s13, s14)), introduced(assumption)).
% 80.85/53.14 tff(35090,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | (~node15(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | (~node15(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35091,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | (~node15(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35092,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | (~node15(c_e_h_1, c_h, s13, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 80.85/53.14 tff(35093,plain,
% 80.85/53.14 ($false),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35092, 612, 35051, 35022, 35089])).
% 80.85/53.14 tff(35094,plain,((~node15(c_e_h_1, c_h, s13, s14)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.14 tff(35095,plain,
% 80.85/53.14 (~node15(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35094, 35022, 35051])).
% 80.85/53.14 tff(35096,plain,
% 80.85/53.14 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14) | node15(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14) | node15(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35097,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14) | node15(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14)))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35098,plain,
% 80.85/53.14 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14) | node15(c_e_h_1, c_h, s13, s14) | (~node19(c_e_h_1, c_h, s13, s14))),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 80.85/53.14 tff(35099,plain,
% 80.85/53.14 (node16(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14) | node15(c_e_h_1, c_h, s13, s14)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35098, 594, 35062])).
% 80.85/53.14 tff(35100,plain,
% 80.85/53.14 (node16(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35099, 35095, 35088])).
% 80.85/53.14 tff(35101,plain,
% 80.85/53.14 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | m_c_h_element_v_in2(c_e_h_1, c_h, s13))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | m_c_h_element_v_in2(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(rewrite,[status(thm)],[])).
% 80.85/53.14 tff(35102,plain,
% 80.85/53.14 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | m_c_h_element_v_in2(c_e_h_1, c_h, s13))),
% 80.85/53.14 inference(quant_inst,[status(thm)],[])).
% 80.85/53.14 tff(35103,plain,
% 80.85/53.14 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s13)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | m_c_h_element_v_in2(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(modus_ponens,[status(thm)],[35102, 35101])).
% 80.85/53.14 tff(35104,plain,
% 80.85/53.14 ((~node16(c_e_h_1, c_h, s13)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35103, 559, 35077])).
% 80.85/53.14 tff(35105,plain,
% 80.85/53.14 (m_c_h_element_v_in2(c_e_h_1, c_h, s13)),
% 80.85/53.14 inference(unit_resolution,[status(thm)],[35104, 35100])).
% 80.85/53.14 tff(35106,plain,
% 80.85/53.14 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13)))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35107,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13)))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35108,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13))),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35107, 35106])).
% 80.85/53.15 tff(35109,plain,
% 80.85/53.15 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s13)) | (~node17(c_e_h_1, c_h, s13))),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35108, 1172, 35077])).
% 80.85/53.15 tff(35110,plain,
% 80.85/53.15 (~node17(c_e_h_1, c_h, s13)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35109, 35105])).
% 80.85/53.15 tff(35111,plain,
% 80.85/53.15 (node18(c_e_h_1, c_h, s13, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35069, 35110])).
% 80.85/53.15 tff(35112,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35055, 481, 35051, 35022, 35111])).
% 80.85/53.15 tff(35113,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s13) | node14(c_e_h_1, c_h, s13, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35114,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35113, 35087, 35076, 35051, 35022])).
% 80.85/53.15 tff(35115,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s13) | (~m_c_h_element_v_out(c_e_h_1, c_h, s14)) | m_c_h_element_v_in2(c_e_h_1, c_h, s13)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35116,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_h, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35115, 35050, 35022])).
% 80.85/53.15 tff(35117,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s14)), introduced(assumption)).
% 80.85/53.15 tff(35118,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35119,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35120,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s14)) | m_c_h_element_v_out(c_e_h_1, c_h, s14)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35119, 35118])).
% 80.85/53.15 tff(35121,plain,
% 80.85/53.15 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35120, 8, 35117])).
% 80.85/53.15 tff(35122,plain,
% 80.85/53.15 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s14))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35123,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s14))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35124,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s14)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s14)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 80.85/53.15 tff(35125,plain,
% 80.85/53.15 (~node20(c_e_h_1, c_i, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35124, 22, 35121])).
% 80.85/53.15 tff(35126,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s15)), introduced(assumption)).
% 80.85/53.15 tff(35127,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35128,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35129,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35128, 35127])).
% 80.85/53.15 tff(35130,plain,
% 80.85/53.15 (m_c_h_element_v_in2(c_e_h_1, c_e, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35129, 5341, 35126])).
% 80.85/53.15 tff(35131,plain,
% 80.85/53.15 (~node18(c_e_h_1, c_e, s15, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25266, 25260, 12655])).
% 80.85/53.15 tff(35132,plain,
% 80.85/53.15 (~m_c_h_element_v_in1(c_e_h_1, c_e, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25339, 25260, 12655])).
% 80.85/53.15 tff(35133,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s15)), introduced(assumption)).
% 80.85/53.15 tff(35134,plain,
% 80.85/53.15 (m_c_h_element_v_in1(c_e_h_1, c_e, s15) | (~node17(c_e_h_1, c_e, s15))),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25314, 1172, 35133])).
% 80.85/53.15 tff(35135,plain,
% 80.85/53.15 (~node17(c_e_h_1, c_e, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35134, 35132])).
% 80.85/53.15 tff(35136,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25278, 35135, 35131])).
% 80.85/53.15 tff(35137,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s15)) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s15)) | m_c_h_element_v_out(c_e_h_1, c_e, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35138,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_e, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35137, 35130, 12655])).
% 80.85/53.15 tff(35139,plain,
% 80.85/53.15 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25258, 35138])).
% 80.85/53.15 tff(35140,assumption,(~node20(c_e_h_1, c_i, s14)), introduced(assumption)).
% 80.85/53.15 tff(35141,assumption,(node22(c_e_h_1, c_i, s14, s15)), introduced(assumption)).
% 80.85/53.15 tff(35142,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node22(c_e_h_1, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node22(c_e_h_1, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35143,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node22(c_e_h_1, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35144,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node22(c_e_h_1, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35143, 35142])).
% 80.85/53.15 tff(35145,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35144, 437, 35141, 25874, 35126])).
% 80.85/53.15 tff(35146,plain,((~node22(c_e_h_1, c_i, s14, s15)) | m_and_h_gate_v_out(c_e_h_1, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35147,plain,
% 80.85/53.15 (~node22(c_e_h_1, c_i, s14, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35146, 35126, 25874])).
% 80.85/53.15 tff(35148,assumption,(node21(c_e_h_1, c_i, s14, s15)), introduced(assumption)).
% 80.85/53.15 tff(35149,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node21(c_e_h_1, c_i, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node21(c_e_h_1, c_i, s14, s15)))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35150,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node21(c_e_h_1, c_i, s14, s15)))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35151,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s14) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | (~node21(c_e_h_1, c_i, s14, s15))),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35150, 35149])).
% 80.85/53.15 tff(35152,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35151, 348, 35148, 35126, 35140])).
% 80.85/53.15 tff(35153,plain,((~node21(c_e_h_1, c_i, s14, s15)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | node20(c_e_h_1, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35154,plain,
% 80.85/53.15 (~node21(c_e_h_1, c_i, s14, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35153, 35126, 35140])).
% 80.85/53.15 tff(35155,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_i, s14, s15) | node22(c_e_h_1, c_i, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_i, s14, s15) | node22(c_e_h_1, c_i, s14, s15))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35156,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s14, s15)) | node21(c_e_h_1, c_i, s14, s15) | node22(c_e_h_1, c_i, s14, s15))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35157,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s14, s15)) | node21(c_e_h_1, c_i, s14, s15) | node22(c_e_h_1, c_i, s14, s15)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35156, 35155])).
% 80.85/53.15 tff(35158,plain,
% 80.85/53.15 (node21(c_e_h_1, c_i, s14, s15) | node22(c_e_h_1, c_i, s14, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35157, 383, 18664])).
% 80.85/53.15 tff(35159,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35158, 35154, 35147])).
% 80.85/53.15 tff(35160,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | node20(c_e_h_1, c_i, s14) | m_and_h_gate_v_out(c_e_h_1, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35161,plain,
% 80.85/53.15 (m_and_h_gate_v_out(c_e_h_1, c_i, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35160, 35126, 35140])).
% 80.85/53.15 tff(35162,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35163,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35164,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_out(I0, c_i, X)) | m_c_h_element_v_in2(I0, c_e, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35163, 35162])).
% 80.85/53.15 tff(35165,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35164, 5341, 25358, 29042])).
% 80.85/53.15 tff(35166,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s14)) | m_c_h_element_v_in2(c_e_h_1, c_e, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35167,plain,
% 80.85/53.15 (m_c_h_element_v_in2(c_e_h_1, c_e, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35166, 35161])).
% 80.85/53.15 tff(35168,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_e, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[34067, 35138, 35167])).
% 80.85/53.15 tff(35169,plain,
% 80.85/53.15 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[21749, 35168])).
% 80.85/53.15 tff(35170,plain,
% 80.85/53.15 (~m_and_h_gate_h_init_v_out(c_e_h_1, c_n, s14)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25232, 35169, 21067, 21083, 21071, 21070, 18547, 18563, 21743, 21069, 18713, 21068, 18587, 35139, 21062, 21061, 18466])).
% 80.85/53.15 tff(35171,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_e, s13)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[21010, 35168, 17541, 9493, 20790, 20865, 17975])).
% 80.85/53.15 tff(35172,plain,
% 80.85/53.15 (m_and_h_gate_h_init_v_in1(c_e_h_1, c_n, s13)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[21017, 35171])).
% 80.85/53.15 tff(35173,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[25251, 35172, 35170, 17556, 17878, 18225, 18085, 18084, 17838, 18063, 17777, 18014])).
% 80.85/53.15 tff(35174,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s15)) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | node24(s14) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_mutex_h_half_v_out(c_e_h_1, c_a, s10) | m_user_v_ack(c_e_h_1, c_u, s10) | (~m_and_h_gate_v_in2(c_e_h_1, c_c, s12)) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | node20(c_e_h_1, c_i, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35175,plain,
% 80.85/53.15 (~m_and_h_gate_v_out(c_e_h_1, c_i, s15)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35174, 35125, 21070, 18547, 18563, 21069, 18713, 21068, 18587, 21062, 21061, 17541, 9493, 20865, 12655, 21071])).
% 80.85/53.15 tff(35176,assumption,(~m_c_h_element_v_out(c_e_h_1, c_h, s16)), introduced(assumption)).
% 80.85/53.15 tff(35177,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s16)) | m_c_h_element_v_out(c_e_h_1, c_h, s16))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s16)) | m_c_h_element_v_out(c_e_h_1, c_h, s16))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35178,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s16)) | m_c_h_element_v_out(c_e_h_1, c_h, s16))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35179,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s16)) | m_c_h_element_v_out(c_e_h_1, c_h, s16)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35178, 35177])).
% 80.85/53.15 tff(35180,plain,
% 80.85/53.15 (~m_and_h_gate_v_in1(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35179, 8, 35176])).
% 80.85/53.15 tff(35181,plain,
% 80.85/53.15 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s16))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35182,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35183,plain,
% 80.85/53.15 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s16)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35182, 35181])).
% 80.85/53.15 tff(35184,plain,
% 80.85/53.15 (~node20(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35183, 22, 35180])).
% 80.85/53.15 tff(35185,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s16)), introduced(assumption)).
% 80.85/53.15 tff(35186,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s16)), introduced(assumption)).
% 80.85/53.15 tff(35187,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35188,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35189,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 80.85/53.15 tff(35190,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35189, 4785, 35186, 35185])).
% 80.85/53.15 tff(35191,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35192,plain,
% 80.85/53.15 (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35191, 35185])).
% 80.85/53.15 tff(35193,plain,
% 80.85/53.15 (m_c_h_element_v_in1(c_e_h_1, c_e, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26175, 12655, 26094])).
% 80.85/53.15 tff(35194,plain,
% 80.85/53.15 (~node18(c_e_h_1, c_e, s16, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26103, 12655, 26094])).
% 80.85/53.15 tff(35195,plain,
% 80.85/53.15 (node17(c_e_h_1, c_e, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26173, 35194])).
% 80.85/53.15 tff(35196,plain,
% 80.85/53.15 ((~m_c_h_element_v_in1(c_e_h_1, c_e, s16)) | (~node17(c_e_h_1, c_e, s16))),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26144, 541, 26136])).
% 80.85/53.15 tff(35197,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35196, 35195, 35193])).
% 80.85/53.15 tff(35198,plain,(m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_c_h_element_v_in2(c_e_h_1, c_e, s16) | (~m_c_h_element_v_out(c_e_h_1, c_e, s17))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35199,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35198, 35192, 12655])).
% 80.85/53.15 tff(35200,plain,
% 80.85/53.15 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26179, 9234, 35199])).
% 80.85/53.15 tff(35201,assumption,(~node20(c_e_h_1, c_i, s16)), introduced(assumption)).
% 80.85/53.15 tff(35202,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s17)), introduced(assumption)).
% 80.85/53.15 tff(35203,assumption,(node21(c_e_h_1, c_i, s16, s17)), introduced(assumption)).
% 80.85/53.15 tff(35204,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node21(c_e_h_1, c_i, s16, s17)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node21(c_e_h_1, c_i, s16, s17)))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35205,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node21(c_e_h_1, c_i, s16, s17)))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35206,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node21(c_e_h_1, c_i, s16, s17))),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35205, 35204])).
% 80.85/53.15 tff(35207,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35206, 348, 35203, 35201, 35202])).
% 80.85/53.15 tff(35208,plain,((~node21(c_e_h_1, c_i, s16, s17)) | node20(c_e_h_1, c_i, s16) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35209,plain,
% 80.85/53.15 (~node21(c_e_h_1, c_i, s16, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35208, 35202, 35201])).
% 80.85/53.15 tff(35210,assumption,(node22(c_e_h_1, c_i, s16, s17)), introduced(assumption)).
% 80.85/53.15 tff(35211,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node22(c_e_h_1, c_i, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node22(c_e_h_1, c_i, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35212,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node22(c_e_h_1, c_i, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35213,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | (~node22(c_e_h_1, c_i, s16, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35212, 35211])).
% 80.85/53.15 tff(35214,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35213, 437, 35210, 35202, 35185])).
% 80.85/53.15 tff(35215,plain,((~node22(c_e_h_1, c_i, s16, s17)) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35216,plain,
% 80.85/53.15 (~node22(c_e_h_1, c_i, s16, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35215, 35202, 35185])).
% 80.85/53.15 tff(35217,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_i, s16, s17) | node22(c_e_h_1, c_i, s16, s17))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_i, s16, s17) | node22(c_e_h_1, c_i, s16, s17))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35218,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s16, s17)) | node21(c_e_h_1, c_i, s16, s17) | node22(c_e_h_1, c_i, s16, s17))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35219,plain,
% 80.85/53.15 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s16, s17)) | node21(c_e_h_1, c_i, s16, s17) | node22(c_e_h_1, c_i, s16, s17)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35218, 35217])).
% 80.85/53.15 tff(35220,plain,
% 80.85/53.15 (node21(c_e_h_1, c_i, s16, s17) | node22(c_e_h_1, c_i, s16, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35219, 383, 22053])).
% 80.85/53.15 tff(35221,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35220, 35216, 35209])).
% 80.85/53.15 tff(35222,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s16) | node20(c_e_h_1, c_i, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35223,plain,
% 80.85/53.15 (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35222, 35185, 35201])).
% 80.85/53.15 tff(35224,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s17)), introduced(assumption)).
% 80.85/53.15 tff(35225,assumption,(m_c_h_element_v_in2(c_e_h_1, c_e, s17)), introduced(assumption)).
% 80.85/53.15 tff(35226,plain,
% 80.85/53.15 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s17))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s17))),
% 80.85/53.15 inference(rewrite,[status(thm)],[])).
% 80.85/53.15 tff(35227,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s17))),
% 80.85/53.15 inference(quant_inst,[status(thm)],[])).
% 80.85/53.15 tff(35228,plain,
% 80.85/53.15 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_e, X)) | m_and_h_gate_v_out(I0, c_i, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s17)),
% 80.85/53.15 inference(modus_ponens,[status(thm)],[35227, 35226])).
% 80.85/53.15 tff(35229,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35228, 4785, 35225, 35224])).
% 80.85/53.15 tff(35230,plain,((~m_c_h_element_v_in2(c_e_h_1, c_e, s17)) | m_and_h_gate_v_out(c_e_h_1, c_i, s17)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35231,plain,
% 80.85/53.15 (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35230, 35223])).
% 80.85/53.15 tff(35232,plain,
% 80.85/53.15 (~node18(c_e_h_1, c_e, s17, s18)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26204, 26182, 26198])).
% 80.85/53.15 tff(35233,plain,
% 80.85/53.15 (node17(c_e_h_1, c_e, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26213, 35232])).
% 80.85/53.15 tff(35234,plain,
% 80.85/53.15 (node14(c_e_h_1, c_e, s17, s18)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26267, 26182, 26198])).
% 80.85/53.15 tff(35235,plain,
% 80.85/53.15 (m_c_h_element_v_in1(c_e_h_1, c_e, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26196, 35234, 26182])).
% 80.85/53.15 tff(35236,plain,
% 80.85/53.15 ((~node17(c_e_h_1, c_e, s17)) | (~m_c_h_element_v_in1(c_e_h_1, c_e, s17))),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26239, 541, 26233])).
% 80.85/53.15 tff(35237,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35236, 35235, 35233])).
% 80.85/53.15 tff(35238,plain,((~m_c_h_element_v_out(c_e_h_1, c_e, s18)) | m_c_h_element_v_in2(c_e_h_1, c_e, s17) | m_c_h_element_v_out(c_e_h_1, c_e, s17)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35239,plain,
% 80.85/53.15 (~m_c_h_element_v_out(c_e_h_1, c_e, s18)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35238, 35231, 35199])).
% 80.85/53.15 tff(35240,plain,
% 80.85/53.15 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26281, 35239])).
% 80.85/53.15 tff(35241,plain,
% 80.85/53.15 (~node20(c_e_h_1, c_r, s18)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26288, 35240])).
% 80.85/53.15 tff(35242,plain,
% 80.85/53.15 (node20(c_e_h_1, c_r, s17)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26290, 35241, 21070, 21061, 21071, 18547, 18563, 21069, 21068, 21743, 18587, 21062, 18713, 21083])).
% 80.85/53.15 tff(35243,plain,
% 80.85/53.15 ($false),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[26294, 22, 35242, 35200])).
% 80.85/53.15 tff(35244,plain,(m_and_h_gate_v_out(c_e_h_1, c_i, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | node20(c_e_h_1, c_i, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.15 tff(35245,plain,
% 80.85/53.15 (m_and_h_gate_v_out(c_e_h_1, c_i, s16)),
% 80.85/53.15 inference(unit_resolution,[status(thm)],[35244, 35184, 21061, 21071, 18547, 18563, 21069, 21068, 18587, 21062, 18713, 12655, 21070])).
% 80.85/53.15 tff(35246,assumption,(~node20(c_e_h_1, c_i, s15)), introduced(assumption)).
% 80.85/53.15 tff(35247,assumption,(m_and_h_gate_v_out(c_e_h_1, c_i, s16)), introduced(assumption)).
% 80.85/53.15 tff(35248,assumption,(~m_and_h_gate_v_out(c_e_h_1, c_i, s15)), introduced(assumption)).
% 80.85/53.15 tff(35249,assumption,(node22(c_e_h_1, c_i, s15, s16)), introduced(assumption)).
% 80.85/53.15 tff(35250,plain,
% 80.85/53.15 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node22(c_e_h_1, c_i, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node22(c_e_h_1, c_i, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35251,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | ((~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node22(c_e_h_1, c_i, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s15))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35252,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_and_h_gate_v_out(I0, I1, Y)) | (~node22(I0, I1, X, Y)) | m_and_h_gate_v_out(I0, I1, X))) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node22(c_e_h_1, c_i, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s15)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35251, 35250])).
% 80.85/53.16 tff(35253,plain,
% 80.85/53.16 ($false),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35252, 437, 35248, 35249, 35247])).
% 80.85/53.16 tff(35254,plain,((~node22(c_e_h_1, c_i, s15, s16)) | m_and_h_gate_v_out(c_e_h_1, c_i, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.16 tff(35255,plain,
% 80.85/53.16 (~node22(c_e_h_1, c_i, s15, s16)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35254, 35247, 35248])).
% 80.85/53.16 tff(35256,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_i, s15, s16) | node22(c_e_h_1, c_i, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_i, s15, s16) | node22(c_e_h_1, c_i, s15, s16))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35257,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | ((~trans(s15, s16)) | node21(c_e_h_1, c_i, s15, s16) | node22(c_e_h_1, c_i, s15, s16))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35258,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node21(I0, I1, X, Y) | node22(I0, I1, X, Y))) | (~trans(s15, s16)) | node21(c_e_h_1, c_i, s15, s16) | node22(c_e_h_1, c_i, s15, s16)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35257, 35256])).
% 80.85/53.16 tff(35259,plain,
% 80.85/53.16 (node21(c_e_h_1, c_i, s15, s16) | node22(c_e_h_1, c_i, s15, s16)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35258, 383, 21999])).
% 80.85/53.16 tff(35260,plain,
% 80.85/53.16 (node21(c_e_h_1, c_i, s15, s16)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35259, 35255])).
% 80.85/53.16 tff(35261,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node21(c_e_h_1, c_i, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node21(c_e_h_1, c_i, s15, s16)))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35262,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | (node20(c_e_h_1, c_i, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node21(c_e_h_1, c_i, s15, s16)))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35263,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node20(I0, I1, X) | (~m_and_h_gate_v_out(I0, I1, Y)) | (~node21(I0, I1, X, Y)))) | node20(c_e_h_1, c_i, s15) | (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | (~node21(c_e_h_1, c_i, s15, s16))),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35262, 35261])).
% 80.85/53.16 tff(35264,plain,
% 80.85/53.16 ($false),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35263, 348, 35260, 35247, 35246])).
% 80.85/53.16 tff(35265,plain,((~m_and_h_gate_v_out(c_e_h_1, c_i, s16)) | node20(c_e_h_1, c_i, s15) | m_and_h_gate_v_out(c_e_h_1, c_i, s15)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.16 tff(35266,plain,
% 80.85/53.16 (node20(c_e_h_1, c_i, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35265, 35245, 35175])).
% 80.85/53.16 tff(35267,plain,
% 80.85/53.16 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35268,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s15))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35269,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in1(I0, I1, X))) | (~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in1(c_e_h_1, c_i, s15)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35268, 35267])).
% 80.85/53.16 tff(35270,plain,
% 80.85/53.16 (m_and_h_gate_v_in1(c_e_h_1, c_i, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35269, 22, 35266])).
% 80.85/53.16 tff(35271,plain,
% 80.85/53.16 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s15))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35272,plain,
% 80.85/53.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | ((~m_and_h_gate_v_in1(c_e_h_1, c_i, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s15))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35273,plain,
% 80.85/53.16 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in1(I0, c_i, X)) | m_c_h_element_v_out(I0, c_h, X))) | (~m_and_h_gate_v_in1(c_e_h_1, c_i, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s15)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 80.85/53.16 tff(35274,plain,
% 80.85/53.16 (m_c_h_element_v_out(c_e_h_1, c_h, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35273, 8, 35270])).
% 80.85/53.16 tff(35275,assumption,(m_c_h_element_v_out(c_e_h_1, c_h, s15)), introduced(assumption)).
% 80.85/53.16 tff(35276,assumption,(node15(c_e_h_1, c_h, s14, s15)), introduced(assumption)).
% 80.85/53.16 tff(35277,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node15(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node15(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35278,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node15(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35279,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | (~node15(I0, I1, X, Y)) | m_c_h_element_v_out(I0, I1, X))) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node15(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35278, 35277])).
% 80.85/53.16 tff(35280,plain,
% 80.85/53.16 ($false),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35279, 612, 35117, 35275, 35276])).
% 80.85/53.16 tff(35281,plain,((~node15(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.16 tff(35282,plain,
% 80.85/53.16 (~node15(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35281, 35275, 35117])).
% 80.85/53.16 tff(35283,assumption,(node18(c_e_h_1, c_h, s14, s15)), introduced(assumption)).
% 80.85/53.16 tff(35284,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35285,plain,
% 80.85/53.16 (((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~node18(c_e_h_1, c_h, s14, s15))) <=> (m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35286,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~node18(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15))))),
% 80.85/53.16 inference(monotonicity,[status(thm)],[35285])).
% 80.85/53.16 tff(35287,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~node18(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(transitivity,[status(thm)],[35286, 35284])).
% 80.85/53.16 tff(35288,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | ((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~node18(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35289,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_out(I0, I1, Y)) | m_c_h_element_v_out(I0, I1, X) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35288, 35287])).
% 80.85/53.16 tff(35290,plain,
% 80.85/53.16 ($false),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35289, 481, 35117, 35275, 35283])).
% 80.85/53.16 tff(35291,plain,((~node18(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.16 tff(35292,plain,
% 80.85/53.16 (~node18(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35291, 35275, 35117])).
% 80.85/53.16 tff(35293,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_h, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35294,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s14, s15)) | node19(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35295,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s14, s15)) | node19(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35294, 35293])).
% 80.85/53.16 tff(35296,plain,
% 80.85/53.16 (node19(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35295, 494, 18664])).
% 80.85/53.16 tff(35297,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35298,plain,
% 80.85/53.16 ((node17(c_e_h_1, c_h, s14) | node18(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15))) <=> (node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35299,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s14) | node18(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(monotonicity,[status(thm)],[35298])).
% 80.85/53.16 tff(35300,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s14) | node18(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(transitivity,[status(thm)],[35299, 35297])).
% 80.85/53.16 tff(35301,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s14) | node18(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35302,plain,
% 80.85/53.16 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node17(c_e_h_1, c_h, s14) | (~node19(c_e_h_1, c_h, s14, s15)) | node18(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 80.85/53.16 tff(35303,plain,
% 80.85/53.16 (node17(c_e_h_1, c_h, s14) | node18(c_e_h_1, c_h, s14, s15)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35302, 508, 35296])).
% 80.85/53.16 tff(35304,plain,
% 80.85/53.16 (node17(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35303, 35292])).
% 80.85/53.16 tff(35305,assumption,(~m_c_h_element_v_in2(c_e_h_1, c_h, s14)), introduced(assumption)).
% 80.85/53.16 tff(35306,plain,
% 80.85/53.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35307,plain,
% 80.85/53.16 (((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14))) <=> (m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35308,plain,
% 80.85/53.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14))))),
% 80.85/53.16 inference(monotonicity,[status(thm)],[35307])).
% 80.85/53.16 tff(35309,plain,
% 80.85/53.16 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)))),
% 80.85/53.16 inference(transitivity,[status(thm)],[35308, 35306])).
% 80.85/53.16 tff(35310,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35311,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35310, 35309])).
% 80.85/53.16 tff(35312,plain,
% 80.85/53.16 ((~node17(c_e_h_1, c_h, s14)) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35311, 541, 35305])).
% 80.85/53.16 tff(35313,plain,
% 80.85/53.16 (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35312, 35304])).
% 80.85/53.16 tff(35314,plain,
% 80.85/53.16 (((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | m_c_h_element_v_in2(c_e_h_1, c_h, s14))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | m_c_h_element_v_in2(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35315,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | ((~node16(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | m_c_h_element_v_in2(c_e_h_1, c_h, s14))),
% 80.85/53.16 inference(quant_inst,[status(thm)],[])).
% 80.85/53.16 tff(35316,plain,
% 80.85/53.16 ((~![I0: $i, X: $i, I1: $i] : ((~node16(I0, I1, X)) | m_c_h_element_v_in1(I0, I1, X) | m_c_h_element_v_in2(I0, I1, X))) | (~node16(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | m_c_h_element_v_in2(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(modus_ponens,[status(thm)],[35315, 35314])).
% 80.85/53.16 tff(35317,plain,
% 80.85/53.16 ((~node16(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35316, 559, 35305])).
% 80.85/53.16 tff(35318,plain,
% 80.85/53.16 (~node16(c_e_h_1, c_h, s14)),
% 80.85/53.16 inference(unit_resolution,[status(thm)],[35317, 35313])).
% 80.85/53.16 tff(35319,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35320,plain,
% 80.85/53.16 ((node16(c_e_h_1, c_h, s14) | node14(c_e_h_1, c_h, s14, s15) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15))) <=> (node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15))),
% 80.85/53.16 inference(rewrite,[status(thm)],[])).
% 80.85/53.16 tff(35321,plain,
% 80.85/53.16 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s14) | node14(c_e_h_1, c_h, s14, s15) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.16 inference(monotonicity,[status(thm)],[35320])).
% 80.85/53.17 tff(35322,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s14) | node14(c_e_h_1, c_h, s14, s15) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35321, 35319])).
% 80.85/53.17 tff(35323,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node16(c_e_h_1, c_h, s14) | node14(c_e_h_1, c_h, s14, s15) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35324,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node16(I0, I1, X) | node14(I0, I1, X, Y) | node15(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | (~node19(c_e_h_1, c_h, s14, s15)) | node14(c_e_h_1, c_h, s14, s15)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 80.85/53.17 tff(35325,plain,
% 80.85/53.17 (node16(c_e_h_1, c_h, s14) | node15(c_e_h_1, c_h, s14, s15) | node14(c_e_h_1, c_h, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35324, 594, 35296])).
% 80.85/53.17 tff(35326,plain,
% 80.85/53.17 (node14(c_e_h_1, c_h, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35325, 35318, 35282])).
% 80.85/53.17 tff(35327,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35328,plain,
% 80.85/53.17 (((~node14(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15))) <=> (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35329,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15))))),
% 80.85/53.17 inference(monotonicity,[status(thm)],[35328])).
% 80.85/53.17 tff(35330,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15)))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35329, 35327])).
% 80.85/53.17 tff(35331,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | ((~node14(c_e_h_1, c_h, s14, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35332,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~node14(I0, I1, X, Y)) | m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_out(I0, I1, Y)))) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node14(c_e_h_1, c_h, s14, s15))),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35331, 35330])).
% 80.85/53.17 tff(35333,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35332, 575, 35275, 35313, 35326])).
% 80.85/53.17 tff(35334,plain,((~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_in2(c_e_h_1, c_h, s14) | m_c_h_element_v_out(c_e_h_1, c_h, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35335,plain,
% 80.85/53.17 (m_c_h_element_v_in2(c_e_h_1, c_h, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35334, 35274, 35117])).
% 80.85/53.17 tff(35336,plain,
% 80.85/53.17 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_j, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_j, s14))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35337,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_j, s14))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35338,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_j, s14)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35337, 35336])).
% 80.85/53.17 tff(35339,plain,
% 80.85/53.17 (m_or_h_gate_v_out(c_e_h_1, c_j, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35338, 1740, 35335])).
% 80.85/53.17 tff(35340,assumption,(~m_or_h_gate_v_in2(c_e_h_1, c_j, s13)), introduced(assumption)).
% 80.85/53.17 tff(35341,assumption,(~node4(c_e_h_1, c_g, s14)), introduced(assumption)).
% 80.85/53.17 tff(35342,assumption,(node20(c_e_h_1, c_i, s15)), introduced(assumption)).
% 80.85/53.17 tff(35343,plain,
% 80.85/53.17 (((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s15))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s15))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35344,plain,
% 80.85/53.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | ((~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s15))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35345,plain,
% 80.85/53.17 ((~![I0: $i, X: $i, I1: $i] : ((~node20(I0, I1, X)) | m_and_h_gate_v_in2(I0, I1, X))) | (~node20(c_e_h_1, c_i, s15)) | m_and_h_gate_v_in2(c_e_h_1, c_i, s15)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 80.85/53.17 tff(35346,plain,
% 80.85/53.17 (m_and_h_gate_v_in2(c_e_h_1, c_i, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35345, 334, 35342])).
% 80.85/53.17 tff(35347,plain,
% 80.85/53.17 (((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s15)))) <=> ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35348,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | ((~m_and_h_gate_v_in2(c_e_h_1, c_i, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s15)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35349,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_and_h_gate_v_in2(I0, c_i, X)) | (~m_or_h_gate_v_out(I0, c_j, X)))) | (~m_and_h_gate_v_in2(c_e_h_1, c_i, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_j, s15))),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35348, 35347])).
% 80.85/53.17 tff(35350,plain,
% 80.85/53.17 (~m_or_h_gate_v_out(c_e_h_1, c_j, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35349, 6608, 35346])).
% 80.85/53.17 tff(35351,plain,
% 80.85/53.17 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s15)) | m_or_h_gate_v_out(c_e_h_1, c_j, s15))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s15)) | m_or_h_gate_v_out(c_e_h_1, c_j, s15))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35352,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s15)) | m_or_h_gate_v_out(c_e_h_1, c_j, s15))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35353,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in2(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_j, X))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s15)) | m_or_h_gate_v_out(c_e_h_1, c_j, s15)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35352, 35351])).
% 80.85/53.17 tff(35354,plain,
% 80.85/53.17 (~m_c_h_element_v_in2(c_e_h_1, c_h, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35353, 1740, 35350])).
% 80.85/53.17 tff(35355,plain,
% 80.85/53.17 (m_and_h_gate_v_in1(c_e_h_1, c_i, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35269, 22, 35342])).
% 80.85/53.17 tff(35356,plain,
% 80.85/53.17 (m_c_h_element_v_out(c_e_h_1, c_h, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35273, 8, 35355])).
% 80.85/53.17 tff(35357,plain,
% 80.85/53.17 (m_c_h_element_v_in2(c_e_h_1, c_h, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35334, 35117, 35275])).
% 80.85/53.17 tff(35358,plain,
% 80.85/53.17 (~node18(c_e_h_1, c_h, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35291, 35117, 35275])).
% 80.85/53.17 tff(35359,plain,
% 80.85/53.17 (node17(c_e_h_1, c_h, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35303, 35358])).
% 80.85/53.17 tff(35360,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s14)), introduced(assumption)).
% 80.85/53.17 tff(35361,plain,
% 80.85/53.17 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35362,plain,
% 80.85/53.17 ((m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | (~node17(c_e_h_1, c_h, s14))) <=> ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35363,plain,
% 80.85/53.17 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | (~node17(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14))))),
% 80.85/53.17 inference(monotonicity,[status(thm)],[35362])).
% 80.85/53.17 tff(35364,plain,
% 80.85/53.17 (((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | (~node17(c_e_h_1, c_h, s14)))) <=> ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14)))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35363, 35361])).
% 80.85/53.17 tff(35365,plain,
% 80.85/53.17 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | (~node17(c_e_h_1, c_h, s14)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35366,plain,
% 80.85/53.17 ((~![I0: $i, X: $i, I1: $i] : (m_c_h_element_v_in1(I0, I1, X) | (~m_c_h_element_v_in2(I0, I1, X)) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~node17(c_e_h_1, c_h, s14))),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35365, 35364])).
% 80.85/53.17 tff(35367,plain,
% 80.85/53.17 ((~m_c_h_element_v_in2(c_e_h_1, c_h, s14)) | (~node17(c_e_h_1, c_h, s14))),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35366, 1172, 35360])).
% 80.85/53.17 tff(35368,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35367, 35359, 35357])).
% 80.85/53.17 tff(35369,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s14) | m_c_h_element_v_in1(c_e_h_1, c_h, s14) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35370,plain,
% 80.85/53.17 (m_c_h_element_v_in1(c_e_h_1, c_h, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35369, 35356, 35117])).
% 80.85/53.17 tff(35371,assumption,(m_c_h_element_v_in1(c_e_h_1, c_h, s14)), introduced(assumption)).
% 80.85/53.17 tff(35372,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s14)), introduced(assumption)).
% 80.85/53.17 tff(35373,plain,
% 80.85/53.17 (((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s14))) <=> ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s14))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35374,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s14))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35375,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_c_h_element_v_in1(I0, c_h, X)) | m_or_h_gate_v_out(I0, c_g, X))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s14)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35374, 35373])).
% 80.85/53.17 tff(35376,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35375, 4673, 35372, 35371])).
% 80.85/53.17 tff(35377,plain,((~m_c_h_element_v_in1(c_e_h_1, c_h, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35378,plain,
% 80.85/53.17 (m_or_h_gate_v_out(c_e_h_1, c_g, s14)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35377, 35370])).
% 80.85/53.17 tff(35379,assumption,(~m_or_h_gate_v_out(c_e_h_1, c_g, s15)), introduced(assumption)).
% 80.85/53.17 tff(35380,assumption,(node5(c_e_h_1, c_g, s14, s15)), introduced(assumption)).
% 80.85/53.17 tff(35381,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35382,plain,
% 80.85/53.17 ((node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15)) <=> (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35383,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15))))),
% 80.85/53.17 inference(monotonicity,[status(thm)],[35382])).
% 80.85/53.17 tff(35384,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35383, 35381])).
% 80.85/53.17 tff(35385,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | (node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35386,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node4(I0, I1, X) | (~node5(I0, I1, X, Y)) | m_or_h_gate_v_out(I0, I1, Y))) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14) | (~node5(c_e_h_1, c_g, s14, s15))),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35385, 35384])).
% 80.85/53.17 tff(35387,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35386, 6671, 35380, 35379, 35341])).
% 80.85/53.17 tff(35388,plain,((~node5(c_e_h_1, c_g, s14, s15)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | node4(c_e_h_1, c_g, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35389,plain,
% 80.85/53.17 (~node5(c_e_h_1, c_g, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35388, 35379, 35341])).
% 80.85/53.17 tff(35390,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s14)), introduced(assumption)).
% 80.85/53.17 tff(35391,assumption,(node6(c_e_h_1, c_g, s14, s15)), introduced(assumption)).
% 80.85/53.17 tff(35392,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35393,plain,
% 80.85/53.17 ((m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14))) <=> ((~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35394,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15))))),
% 80.85/53.17 inference(monotonicity,[status(thm)],[35393])).
% 80.85/53.17 tff(35395,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35394, 35392])).
% 80.85/53.17 tff(35396,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35397,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_or_h_gate_v_out(I0, I1, Y) | (~node6(I0, I1, X, Y)) | (~m_or_h_gate_v_out(I0, I1, X)))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~node6(c_e_h_1, c_g, s14, s15))),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35396, 35395])).
% 80.85/53.17 tff(35398,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35397, 6691, 35391, 35390, 35379])).
% 80.85/53.17 tff(35399,plain,((~node6(c_e_h_1, c_g, s14, s15)) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | m_or_h_gate_v_out(c_e_h_1, c_g, s15)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35400,plain,
% 80.85/53.17 (~node6(c_e_h_1, c_g, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35399, 35379, 35390])).
% 80.85/53.17 tff(35401,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35402,plain,
% 80.85/53.17 ((node6(c_e_h_1, c_g, s14, s15) | node5(c_e_h_1, c_g, s14, s15) | (~trans(s14, s15))) <=> ((~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35403,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s14, s15) | node5(c_e_h_1, c_g, s14, s15) | (~trans(s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | ((~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15)))),
% 80.85/53.17 inference(monotonicity,[status(thm)],[35402])).
% 80.85/53.17 tff(35404,plain,
% 80.85/53.17 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s14, s15) | node5(c_e_h_1, c_g, s14, s15) | (~trans(s14, s15)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15))),
% 80.85/53.17 inference(transitivity,[status(thm)],[35403, 35401])).
% 80.85/53.17 tff(35405,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (node6(c_e_h_1, c_g, s14, s15) | node5(c_e_h_1, c_g, s14, s15) | (~trans(s14, s15)))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35406,plain,
% 80.85/53.17 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node6(I0, I1, X, Y) | node5(I0, I1, X, Y) | (~trans(X, Y)))) | (~trans(s14, s15)) | node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35405, 35404])).
% 80.85/53.17 tff(35407,plain,
% 80.85/53.17 (node5(c_e_h_1, c_g, s14, s15) | node6(c_e_h_1, c_g, s14, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35406, 1870, 18664])).
% 80.85/53.17 tff(35408,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35407, 35400, 35389])).
% 80.85/53.17 tff(35409,plain,(m_or_h_gate_v_out(c_e_h_1, c_g, s15) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s14)) | node4(c_e_h_1, c_g, s14)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.17 tff(35410,plain,
% 80.85/53.17 (m_or_h_gate_v_out(c_e_h_1, c_g, s15)),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35409, 35378, 35341])).
% 80.85/53.17 tff(35411,assumption,(~m_c_h_element_v_in1(c_e_h_1, c_h, s15)), introduced(assumption)).
% 80.85/53.17 tff(35412,assumption,(m_or_h_gate_v_out(c_e_h_1, c_g, s15)), introduced(assumption)).
% 80.85/53.17 tff(35413,plain,
% 80.85/53.17 (((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s15))) <=> ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s15))),
% 80.85/53.17 inference(rewrite,[status(thm)],[])).
% 80.85/53.17 tff(35414,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | ((~m_or_h_gate_v_out(c_e_h_1, c_g, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s15))),
% 80.85/53.17 inference(quant_inst,[status(thm)],[])).
% 80.85/53.17 tff(35415,plain,
% 80.85/53.17 ((~![I0: $i, X: $i] : ((~m_or_h_gate_v_out(I0, c_g, X)) | m_c_h_element_v_in1(I0, c_h, X))) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s15)) | m_c_h_element_v_in1(c_e_h_1, c_h, s15)),
% 80.85/53.17 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 80.85/53.17 tff(35416,plain,
% 80.85/53.17 ($false),
% 80.85/53.17 inference(unit_resolution,[status(thm)],[35415, 6651, 35412, 35411])).
% 80.85/53.18 tff(35417,plain,(m_c_h_element_v_in1(c_e_h_1, c_h, s15) | (~m_or_h_gate_v_out(c_e_h_1, c_g, s15))), inference(lemma,lemma(discharge,[]))).
% 80.85/53.18 tff(35418,plain,
% 80.85/53.18 (m_c_h_element_v_in1(c_e_h_1, c_h, s15)),
% 80.85/53.18 inference(unit_resolution,[status(thm)],[35417, 35410])).
% 80.85/53.18 tff(35419,assumption,(node18(c_e_h_1, c_h, s15, s16)), introduced(assumption)).
% 80.85/53.18 tff(35420,plain,
% 80.85/53.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s16) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s16) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s15, s16)))),
% 80.85/53.18 inference(rewrite,[status(thm)],[])).
% 80.85/53.18 tff(35421,plain,
% 80.85/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | (m_c_h_element_v_out(c_e_h_1, c_h, s16) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s15, s16)))),
% 80.85/53.18 inference(quant_inst,[status(thm)],[])).
% 80.85/53.18 tff(35422,plain,
% 80.85/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (m_c_h_element_v_out(I0, I1, Y) | (~m_c_h_element_v_out(I0, I1, X)) | (~node18(I0, I1, X, Y)))) | m_c_h_element_v_out(c_e_h_1, c_h, s16) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | (~node18(c_e_h_1, c_h, s15, s16))),
% 80.85/53.18 inference(modus_ponens,[status(thm)],[35421, 35420])).
% 80.85/53.18 tff(35423,plain,
% 80.85/53.18 ($false),
% 80.85/53.18 inference(unit_resolution,[status(thm)],[35422, 6627, 35275, 35176, 35419])).
% 80.85/53.18 tff(35424,plain,((~node18(c_e_h_1, c_h, s15, s16)) | (~m_c_h_element_v_out(c_e_h_1, c_h, s15)) | m_c_h_element_v_out(c_e_h_1, c_h, s16)), inference(lemma,lemma(discharge,[]))).
% 80.85/53.18 tff(35425,plain,
% 80.85/53.18 (~node18(c_e_h_1, c_h, s15, s16)),
% 80.85/53.18 inference(unit_resolution,[status(thm)],[35424, 35356, 35176])).
% 80.92/53.18 tff(35426,plain,
% 80.92/53.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_1, c_h, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_1, c_h, s15, s16))),
% 80.92/53.18 inference(rewrite,[status(thm)],[])).
% 80.92/53.18 tff(35427,plain,
% 80.92/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | ((~trans(s15, s16)) | node19(c_e_h_1, c_h, s15, s16))),
% 80.92/53.18 inference(quant_inst,[status(thm)],[])).
% 80.92/53.18 tff(35428,plain,
% 80.92/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : ((~trans(X, Y)) | node19(I0, I1, X, Y))) | (~trans(s15, s16)) | node19(c_e_h_1, c_h, s15, s16)),
% 80.92/53.18 inference(modus_ponens,[status(thm)],[35427, 35426])).
% 80.92/53.18 tff(35429,plain,
% 80.92/53.18 (node19(c_e_h_1, c_h, s15, s16)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35428, 494, 21999])).
% 80.92/53.18 tff(35430,plain,
% 80.92/53.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16))),
% 80.92/53.18 inference(rewrite,[status(thm)],[])).
% 80.92/53.18 tff(35431,plain,
% 80.92/53.18 ((node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16) | (~node19(c_e_h_1, c_h, s15, s16))) <=> ((~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16))),
% 80.92/53.18 inference(rewrite,[status(thm)],[])).
% 80.92/53.18 tff(35432,plain,
% 80.92/53.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16) | (~node19(c_e_h_1, c_h, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | ((~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16)))),
% 80.92/53.18 inference(monotonicity,[status(thm)],[35431])).
% 80.92/53.18 tff(35433,plain,
% 80.92/53.18 (((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16) | (~node19(c_e_h_1, c_h, s15, s16)))) <=> ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16))),
% 80.92/53.18 inference(transitivity,[status(thm)],[35432, 35430])).
% 80.92/53.18 tff(35434,plain,
% 80.92/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16) | (~node19(c_e_h_1, c_h, s15, s16)))),
% 80.92/53.18 inference(quant_inst,[status(thm)],[])).
% 80.92/53.18 tff(35435,plain,
% 80.92/53.18 ((~![Y: $i, I0: $i, X: $i, I1: $i] : (node17(I0, I1, X) | node18(I0, I1, X, Y) | (~node19(I0, I1, X, Y)))) | (~node19(c_e_h_1, c_h, s15, s16)) | node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16)),
% 80.92/53.18 inference(modus_ponens,[status(thm)],[35434, 35433])).
% 80.92/53.18 tff(35436,plain,
% 80.92/53.18 (node17(c_e_h_1, c_h, s15) | node18(c_e_h_1, c_h, s15, s16)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35435, 508, 35429])).
% 80.92/53.18 tff(35437,plain,
% 80.92/53.18 (node17(c_e_h_1, c_h, s15)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35436, 35425])).
% 80.92/53.18 tff(35438,plain,
% 80.92/53.18 (((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s15)) | m_c_h_element_v_in2(c_e_h_1, c_h, s15) | (~node17(c_e_h_1, c_h, s15)))) <=> ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s15)) | m_c_h_element_v_in2(c_e_h_1, c_h, s15) | (~node17(c_e_h_1, c_h, s15)))),
% 80.92/53.18 inference(rewrite,[status(thm)],[])).
% 80.92/53.18 tff(35439,plain,
% 80.92/53.18 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | ((~m_c_h_element_v_in1(c_e_h_1, c_h, s15)) | m_c_h_element_v_in2(c_e_h_1, c_h, s15) | (~node17(c_e_h_1, c_h, s15)))),
% 80.92/53.18 inference(quant_inst,[status(thm)],[])).
% 80.92/53.18 tff(35440,plain,
% 80.92/53.18 ((~![I0: $i, X: $i, I1: $i] : ((~m_c_h_element_v_in1(I0, I1, X)) | m_c_h_element_v_in2(I0, I1, X) | (~node17(I0, I1, X)))) | (~m_c_h_element_v_in1(c_e_h_1, c_h, s15)) | m_c_h_element_v_in2(c_e_h_1, c_h, s15) | (~node17(c_e_h_1, c_h, s15))),
% 80.92/53.18 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 80.92/53.18 tff(35441,plain,
% 80.92/53.18 ($false),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35440, 541, 35437, 35418, 35354])).
% 80.92/53.18 tff(35442,plain,((~node20(c_e_h_1, c_i, s15)) | node4(c_e_h_1, c_g, s14) | m_c_h_element_v_out(c_e_h_1, c_h, s16) | m_c_h_element_v_out(c_e_h_1, c_h, s14)), inference(lemma,lemma(discharge,[]))).
% 80.92/53.18 tff(35443,plain,
% 80.92/53.18 (~node20(c_e_h_1, c_i, s15)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35442, 35176, 35341, 35117])).
% 80.92/53.18 tff(35444,plain,
% 80.92/53.18 (~m_and_h_gate_v_out(c_e_h_1, c_i, s16)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35265, 35443, 35248])).
% 80.92/53.18 tff(35445,plain,
% 80.92/53.18 (~m_c_h_element_v_in2(c_e_h_1, c_e, s16)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35191, 35444])).
% 80.92/53.18 tff(35446,plain,
% 80.92/53.18 (~m_c_h_element_v_out(c_e_h_1, c_e, s17)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35198, 35445, 12655])).
% 80.92/53.18 tff(35447,plain,
% 80.92/53.18 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s17)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[26179, 9234, 35446])).
% 80.92/53.18 tff(35448,plain,
% 80.92/53.18 (~m_and_h_gate_v_out(c_e_h_1, c_i, s17)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35222, 35444, 35184])).
% 80.92/53.18 tff(35449,plain,
% 80.92/53.18 (~m_c_h_element_v_in2(c_e_h_1, c_e, s17)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35230, 35448])).
% 80.92/53.18 tff(35450,plain,
% 80.92/53.18 (~m_c_h_element_v_out(c_e_h_1, c_e, s18)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35238, 35449, 35446])).
% 80.92/53.18 tff(35451,plain,
% 80.92/53.18 (~m_and_h_gate_v_in1(c_e_h_1, c_r, s18)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[26281, 35450])).
% 80.92/53.18 tff(35452,plain,
% 80.92/53.18 (~node20(c_e_h_1, c_r, s18)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[26288, 35451])).
% 80.92/53.18 tff(35453,plain,
% 80.92/53.18 (node20(c_e_h_1, c_r, s17)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[26290, 35452, 21070, 21061, 21071, 18547, 18563, 21069, 21068, 21743, 18587, 21062, 18713, 21083])).
% 80.92/53.18 tff(35454,plain,
% 80.92/53.18 ($false),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[26294, 22, 35453, 35447])).
% 80.92/53.18 tff(35455,plain,(m_c_h_element_v_out(c_e_h_1, c_h, s16) | m_c_h_element_v_in2(c_e_h_2, c_h, s12) | m_c_h_element_v_in2(c_e_h_2, c_h, s13) | m_c_h_element_v_out(c_e_h_2, c_h, s12) | m_and_h_gate_v_out(c_e_h_1, c_r, s11) | node20(c_e_h_1, c_r, s11) | node26(s10) | node24(s14) | node20(c_e_h_1, c_r, s12) | node24(s15) | m_and_h_gate_v_out(c_e_h_1, c_r, s16) | m_c_h_element_v_out(c_e_h_1, c_e, s16) | m_and_h_gate_v_out(c_e_h_1, c_i, s15) | node4(c_e_h_1, c_g, s14) | m_c_h_element_v_out(c_e_h_1, c_h, s14)), inference(lemma,lemma(discharge,[]))).
% 80.92/53.18 tff(35456,plain,
% 80.92/53.18 (node4(c_e_h_1, c_g, s14)),
% 80.92/53.18 inference(unit_resolution,[status(thm)],[35455, 35176, 21061, 21071, 18547, 18563, 21069, 21068, 18587, 21062, 18713, 12655, 35117, 35175, 21070])).
% 80.92/53.18 tff(35457,plain,
% 80.92/53.18 (((~![I0: $i, X: $i, I1: $i] : ((~m_or_h_gate_v_in1(I0, I1, X)) | (~node4(I0, I1, X)))) | ((~m_or_h_gate_v_in1(c_e_h_1, c_g, s14)) | (~node4(c_e_h_1, c_g, s14)))) <